TSTP Solution File: SWV422-1.205 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SWV422-1.205 : TPTP v8.1.0. Released v3.5.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n006.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 15:14:39 EDT 2022
% Result : Unsatisfiable 3.88s 2.73s
% Output : Proof 7.84s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SWV422-1.205 : TPTP v8.1.0. Released v3.5.0.
% 0.08/0.14 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.35 % Computer : n006.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sun Sep 4 03:18:38 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.36 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.36 Usage: tptp [options] [-file:]file
% 0.13/0.36 -h, -? prints this message.
% 0.13/0.36 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.36 -m, -model generate model.
% 0.13/0.36 -p, -proof generate proof.
% 0.13/0.36 -c, -core generate unsat core of named formulas.
% 0.13/0.36 -st, -statistics display statistics.
% 0.13/0.36 -t:timeout set timeout (in second).
% 0.13/0.36 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.36 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.36 -<param>:<value> configuration parameter and value.
% 0.13/0.36 -o:<output-file> file to place output in.
% 3.88/2.73 % SZS status Unsatisfiable
% 3.88/2.73 % SZS output start Proof
% 3.88/2.73 tff(xuntil28_type, type, (
% 3.88/2.73 xuntil28: $i > $o)).
% 3.88/2.73 tff(s204_type, type, (
% 3.88/2.73 s204: $i)).
% 3.88/2.73 tff(until27_type, type, (
% 3.88/2.73 until27: $i > $o)).
% 3.88/2.73 tff(s203_type, type, (
% 3.88/2.73 s203: $i)).
% 3.88/2.73 tff(node26_type, type, (
% 3.88/2.73 node26: $i > $o)).
% 3.88/2.73 tff(always25_type, type, (
% 3.88/2.73 always25: $i > $o)).
% 3.88/2.73 tff(m_main_v_state2_type, type, (
% 3.88/2.73 m_main_v_state2: ( $i * $i ) > $o)).
% 3.88/2.73 tff(c_c2_type, type, (
% 3.88/2.73 c_c2: $i)).
% 3.88/2.73 tff(node9_type, type, (
% 3.88/2.73 node9: $i > $o)).
% 3.88/2.73 tff(c_n2_type, type, (
% 3.88/2.73 c_n2: $i)).
% 3.88/2.73 tff(node13_type, type, (
% 3.88/2.73 node13: ( $i * $i ) > $o)).
% 3.88/2.73 tff(s202_type, type, (
% 3.88/2.73 s202: $i)).
% 3.88/2.73 tff(node12_type, type, (
% 3.88/2.73 node12: $i > $o)).
% 3.88/2.73 tff(m_main_v_turn_type, type, (
% 3.88/2.73 m_main_v_turn: ( $i * $i ) > $o)).
% 3.88/2.73 tff(c_2_type, type, (
% 3.88/2.73 c_2: $i)).
% 3.88/2.73 tff(c_1_type, type, (
% 3.88/2.73 c_1: $i)).
% 3.88/2.73 tff(m_main_v_state1_type, type, (
% 3.88/2.73 m_main_v_state1: ( $i * $i ) > $o)).
% 3.88/2.73 tff(c_t1_type, type, (
% 3.88/2.73 c_t1: $i)).
% 3.88/2.73 tff(s201_type, type, (
% 3.88/2.73 s201: $i)).
% 3.88/2.73 tff(node6_type, type, (
% 3.88/2.73 node6: ( $i * $i ) > $o)).
% 3.88/2.73 tff(s200_type, type, (
% 3.88/2.73 s200: $i)).
% 3.88/2.73 tff(node1_type, type, (
% 3.88/2.73 node1: $i > $o)).
% 3.88/2.73 tff(c_n1_type, type, (
% 3.88/2.73 c_n1: $i)).
% 3.88/2.73 tff(s199_type, type, (
% 3.88/2.73 s199: $i)).
% 3.88/2.73 tff(node5_type, type, (
% 3.88/2.73 node5: $i > $o)).
% 3.88/2.73 tff(s198_type, type, (
% 3.88/2.73 s198: $i)).
% 3.88/2.73 tff(c_c1_type, type, (
% 3.88/2.73 c_c1: $i)).
% 3.88/2.73 tff(node3_type, type, (
% 3.88/2.73 node3: $i > $o)).
% 3.88/2.73 tff(s197_type, type, (
% 3.88/2.73 s197: $i)).
% 3.88/2.73 tff(s196_type, type, (
% 3.88/2.73 s196: $i)).
% 3.88/2.73 tff(c_t2_type, type, (
% 3.88/2.73 c_t2: $i)).
% 3.88/2.73 tff(s195_type, type, (
% 3.88/2.73 s195: $i)).
% 3.88/2.73 tff(s194_type, type, (
% 3.88/2.73 s194: $i)).
% 3.88/2.73 tff(s193_type, type, (
% 3.88/2.73 s193: $i)).
% 3.88/2.73 tff(s192_type, type, (
% 3.88/2.73 s192: $i)).
% 3.88/2.73 tff(s191_type, type, (
% 3.88/2.73 s191: $i)).
% 3.88/2.73 tff(s190_type, type, (
% 3.88/2.73 s190: $i)).
% 3.88/2.73 tff(s189_type, type, (
% 3.88/2.73 s189: $i)).
% 3.88/2.73 tff(s188_type, type, (
% 3.88/2.73 s188: $i)).
% 3.88/2.73 tff(s187_type, type, (
% 3.88/2.73 s187: $i)).
% 3.88/2.73 tff(s186_type, type, (
% 3.88/2.73 s186: $i)).
% 3.88/2.73 tff(s185_type, type, (
% 3.88/2.73 s185: $i)).
% 3.88/2.73 tff(s184_type, type, (
% 3.88/2.73 s184: $i)).
% 3.88/2.73 tff(s183_type, type, (
% 3.88/2.73 s183: $i)).
% 3.88/2.73 tff(s182_type, type, (
% 3.88/2.73 s182: $i)).
% 3.88/2.73 tff(s181_type, type, (
% 3.88/2.73 s181: $i)).
% 3.88/2.73 tff(s180_type, type, (
% 3.88/2.73 s180: $i)).
% 3.88/2.73 tff(s179_type, type, (
% 3.88/2.73 s179: $i)).
% 3.88/2.73 tff(s178_type, type, (
% 3.88/2.73 s178: $i)).
% 3.88/2.73 tff(s177_type, type, (
% 3.88/2.73 s177: $i)).
% 3.88/2.73 tff(s176_type, type, (
% 3.88/2.73 s176: $i)).
% 3.88/2.73 tff(s175_type, type, (
% 3.88/2.73 s175: $i)).
% 3.88/2.73 tff(s174_type, type, (
% 3.88/2.73 s174: $i)).
% 3.88/2.73 tff(s173_type, type, (
% 3.88/2.73 s173: $i)).
% 3.88/2.73 tff(s172_type, type, (
% 3.88/2.73 s172: $i)).
% 3.88/2.73 tff(s171_type, type, (
% 3.88/2.73 s171: $i)).
% 3.88/2.73 tff(s170_type, type, (
% 3.88/2.73 s170: $i)).
% 3.88/2.73 tff(s169_type, type, (
% 3.88/2.73 s169: $i)).
% 3.88/2.73 tff(s168_type, type, (
% 3.88/2.73 s168: $i)).
% 3.88/2.73 tff(s167_type, type, (
% 3.88/2.73 s167: $i)).
% 3.88/2.73 tff(s166_type, type, (
% 3.88/2.73 s166: $i)).
% 3.88/2.73 tff(s165_type, type, (
% 3.88/2.73 s165: $i)).
% 3.88/2.73 tff(s164_type, type, (
% 3.88/2.73 s164: $i)).
% 3.88/2.73 tff(s163_type, type, (
% 3.88/2.73 s163: $i)).
% 3.88/2.73 tff(s162_type, type, (
% 3.88/2.73 s162: $i)).
% 3.88/2.73 tff(s161_type, type, (
% 3.88/2.73 s161: $i)).
% 3.88/2.73 tff(s160_type, type, (
% 3.88/2.73 s160: $i)).
% 3.88/2.73 tff(s159_type, type, (
% 3.88/2.73 s159: $i)).
% 3.88/2.73 tff(s158_type, type, (
% 3.88/2.73 s158: $i)).
% 3.88/2.73 tff(s157_type, type, (
% 3.88/2.73 s157: $i)).
% 3.88/2.73 tff(s156_type, type, (
% 3.88/2.73 s156: $i)).
% 3.88/2.73 tff(s155_type, type, (
% 3.88/2.73 s155: $i)).
% 3.88/2.73 tff(s154_type, type, (
% 3.88/2.73 s154: $i)).
% 3.88/2.73 tff(s153_type, type, (
% 3.88/2.73 s153: $i)).
% 3.88/2.73 tff(s152_type, type, (
% 3.88/2.73 s152: $i)).
% 3.88/2.73 tff(s151_type, type, (
% 3.88/2.73 s151: $i)).
% 3.88/2.73 tff(s150_type, type, (
% 3.88/2.73 s150: $i)).
% 3.88/2.73 tff(s149_type, type, (
% 3.88/2.73 s149: $i)).
% 3.88/2.73 tff(s148_type, type, (
% 3.88/2.73 s148: $i)).
% 3.88/2.73 tff(s147_type, type, (
% 3.88/2.73 s147: $i)).
% 3.88/2.73 tff(s146_type, type, (
% 3.88/2.73 s146: $i)).
% 3.88/2.73 tff(s145_type, type, (
% 3.88/2.73 s145: $i)).
% 3.88/2.73 tff(s144_type, type, (
% 3.88/2.73 s144: $i)).
% 3.88/2.73 tff(s143_type, type, (
% 3.88/2.73 s143: $i)).
% 3.88/2.73 tff(s142_type, type, (
% 3.88/2.73 s142: $i)).
% 3.88/2.73 tff(s141_type, type, (
% 3.88/2.73 s141: $i)).
% 3.88/2.73 tff(s140_type, type, (
% 3.88/2.73 s140: $i)).
% 3.88/2.73 tff(s139_type, type, (
% 3.88/2.73 s139: $i)).
% 3.88/2.73 tff(s138_type, type, (
% 3.88/2.73 s138: $i)).
% 3.88/2.73 tff(s137_type, type, (
% 3.88/2.73 s137: $i)).
% 3.88/2.73 tff(s136_type, type, (
% 3.88/2.73 s136: $i)).
% 3.88/2.73 tff(s135_type, type, (
% 3.88/2.73 s135: $i)).
% 3.88/2.73 tff(s134_type, type, (
% 3.88/2.73 s134: $i)).
% 3.88/2.73 tff(s133_type, type, (
% 3.88/2.73 s133: $i)).
% 3.88/2.73 tff(s132_type, type, (
% 3.88/2.73 s132: $i)).
% 3.88/2.73 tff(s131_type, type, (
% 3.88/2.73 s131: $i)).
% 3.88/2.73 tff(s130_type, type, (
% 3.88/2.73 s130: $i)).
% 3.88/2.73 tff(s129_type, type, (
% 3.88/2.73 s129: $i)).
% 3.88/2.73 tff(s128_type, type, (
% 3.88/2.73 s128: $i)).
% 3.88/2.73 tff(s127_type, type, (
% 3.88/2.73 s127: $i)).
% 3.88/2.73 tff(s126_type, type, (
% 3.88/2.73 s126: $i)).
% 3.88/2.74 tff(s125_type, type, (
% 3.88/2.74 s125: $i)).
% 3.88/2.74 tff(s124_type, type, (
% 3.88/2.74 s124: $i)).
% 3.88/2.74 tff(s123_type, type, (
% 3.88/2.74 s123: $i)).
% 3.88/2.74 tff(s122_type, type, (
% 3.88/2.74 s122: $i)).
% 3.88/2.74 tff(s121_type, type, (
% 3.88/2.74 s121: $i)).
% 3.88/2.74 tff(s120_type, type, (
% 3.88/2.74 s120: $i)).
% 3.88/2.74 tff(s119_type, type, (
% 3.88/2.74 s119: $i)).
% 3.88/2.74 tff(s118_type, type, (
% 3.88/2.74 s118: $i)).
% 3.88/2.74 tff(s117_type, type, (
% 3.88/2.74 s117: $i)).
% 3.88/2.74 tff(s116_type, type, (
% 3.88/2.74 s116: $i)).
% 3.88/2.74 tff(s115_type, type, (
% 3.88/2.74 s115: $i)).
% 3.88/2.74 tff(s114_type, type, (
% 3.88/2.74 s114: $i)).
% 3.88/2.74 tff(s113_type, type, (
% 3.88/2.74 s113: $i)).
% 3.88/2.74 tff(s112_type, type, (
% 3.88/2.74 s112: $i)).
% 3.88/2.74 tff(s111_type, type, (
% 3.88/2.74 s111: $i)).
% 3.88/2.74 tff(s110_type, type, (
% 3.88/2.74 s110: $i)).
% 3.88/2.74 tff(s109_type, type, (
% 3.88/2.74 s109: $i)).
% 3.88/2.74 tff(s108_type, type, (
% 3.88/2.74 s108: $i)).
% 3.88/2.74 tff(s107_type, type, (
% 3.88/2.74 s107: $i)).
% 3.88/2.74 tff(s106_type, type, (
% 3.88/2.74 s106: $i)).
% 3.88/2.74 tff(s105_type, type, (
% 3.88/2.74 s105: $i)).
% 3.88/2.74 tff(s104_type, type, (
% 3.88/2.74 s104: $i)).
% 3.88/2.74 tff(s103_type, type, (
% 3.88/2.74 s103: $i)).
% 3.88/2.74 tff(s102_type, type, (
% 3.88/2.74 s102: $i)).
% 3.88/2.74 tff(s101_type, type, (
% 3.88/2.74 s101: $i)).
% 3.88/2.74 tff(s100_type, type, (
% 3.88/2.74 s100: $i)).
% 3.88/2.74 tff(s99_type, type, (
% 3.88/2.74 s99: $i)).
% 3.88/2.74 tff(s98_type, type, (
% 3.88/2.74 s98: $i)).
% 3.88/2.74 tff(s97_type, type, (
% 3.88/2.74 s97: $i)).
% 3.88/2.74 tff(s96_type, type, (
% 3.88/2.74 s96: $i)).
% 3.88/2.74 tff(s95_type, type, (
% 3.88/2.74 s95: $i)).
% 3.88/2.74 tff(s94_type, type, (
% 3.88/2.74 s94: $i)).
% 3.88/2.74 tff(s93_type, type, (
% 3.88/2.74 s93: $i)).
% 3.88/2.74 tff(s92_type, type, (
% 3.88/2.74 s92: $i)).
% 3.88/2.74 tff(s91_type, type, (
% 3.88/2.74 s91: $i)).
% 3.88/2.74 tff(s90_type, type, (
% 3.88/2.74 s90: $i)).
% 3.88/2.74 tff(s89_type, type, (
% 3.88/2.74 s89: $i)).
% 3.88/2.74 tff(s88_type, type, (
% 3.88/2.74 s88: $i)).
% 3.88/2.74 tff(s87_type, type, (
% 3.88/2.74 s87: $i)).
% 3.88/2.74 tff(s86_type, type, (
% 3.88/2.74 s86: $i)).
% 3.88/2.74 tff(s85_type, type, (
% 3.88/2.74 s85: $i)).
% 3.88/2.74 tff(s84_type, type, (
% 3.88/2.74 s84: $i)).
% 3.88/2.74 tff(s83_type, type, (
% 3.88/2.74 s83: $i)).
% 3.88/2.74 tff(s82_type, type, (
% 3.88/2.74 s82: $i)).
% 3.88/2.74 tff(s81_type, type, (
% 3.88/2.74 s81: $i)).
% 3.88/2.74 tff(s80_type, type, (
% 3.88/2.74 s80: $i)).
% 3.88/2.74 tff(s79_type, type, (
% 3.88/2.74 s79: $i)).
% 3.88/2.74 tff(s78_type, type, (
% 3.88/2.74 s78: $i)).
% 3.88/2.74 tff(s77_type, type, (
% 3.88/2.74 s77: $i)).
% 3.88/2.74 tff(s76_type, type, (
% 3.88/2.74 s76: $i)).
% 3.88/2.74 tff(s75_type, type, (
% 3.88/2.74 s75: $i)).
% 3.88/2.74 tff(s74_type, type, (
% 3.88/2.74 s74: $i)).
% 3.88/2.74 tff(s73_type, type, (
% 3.88/2.74 s73: $i)).
% 3.88/2.74 tff(s72_type, type, (
% 3.88/2.74 s72: $i)).
% 3.88/2.74 tff(s71_type, type, (
% 3.88/2.74 s71: $i)).
% 3.88/2.74 tff(s70_type, type, (
% 3.88/2.74 s70: $i)).
% 3.88/2.74 tff(s69_type, type, (
% 3.88/2.74 s69: $i)).
% 3.88/2.74 tff(s68_type, type, (
% 3.88/2.74 s68: $i)).
% 3.88/2.74 tff(s67_type, type, (
% 3.88/2.74 s67: $i)).
% 3.88/2.74 tff(s66_type, type, (
% 3.88/2.74 s66: $i)).
% 3.88/2.74 tff(s65_type, type, (
% 3.88/2.74 s65: $i)).
% 3.88/2.74 tff(s64_type, type, (
% 3.88/2.74 s64: $i)).
% 3.88/2.74 tff(s63_type, type, (
% 3.88/2.74 s63: $i)).
% 3.88/2.74 tff(s62_type, type, (
% 3.88/2.74 s62: $i)).
% 3.88/2.74 tff(s61_type, type, (
% 3.88/2.74 s61: $i)).
% 3.88/2.74 tff(s60_type, type, (
% 3.88/2.74 s60: $i)).
% 3.88/2.74 tff(s59_type, type, (
% 3.88/2.74 s59: $i)).
% 3.88/2.74 tff(s58_type, type, (
% 3.88/2.74 s58: $i)).
% 3.88/2.74 tff(s57_type, type, (
% 3.88/2.74 s57: $i)).
% 3.88/2.74 tff(s56_type, type, (
% 3.88/2.74 s56: $i)).
% 3.88/2.74 tff(s55_type, type, (
% 3.88/2.74 s55: $i)).
% 3.88/2.74 tff(s54_type, type, (
% 3.88/2.74 s54: $i)).
% 3.88/2.74 tff(s53_type, type, (
% 3.88/2.74 s53: $i)).
% 3.88/2.74 tff(s52_type, type, (
% 3.88/2.74 s52: $i)).
% 3.88/2.74 tff(s51_type, type, (
% 3.88/2.74 s51: $i)).
% 3.88/2.74 tff(s50_type, type, (
% 3.88/2.74 s50: $i)).
% 3.88/2.74 tff(s49_type, type, (
% 3.88/2.74 s49: $i)).
% 3.88/2.74 tff(s48_type, type, (
% 3.88/2.74 s48: $i)).
% 3.88/2.74 tff(s47_type, type, (
% 3.88/2.74 s47: $i)).
% 3.88/2.74 tff(s46_type, type, (
% 3.88/2.74 s46: $i)).
% 3.88/2.74 tff(s45_type, type, (
% 3.88/2.74 s45: $i)).
% 3.88/2.74 tff(s44_type, type, (
% 3.88/2.74 s44: $i)).
% 3.88/2.74 tff(s43_type, type, (
% 3.88/2.74 s43: $i)).
% 3.88/2.74 tff(s42_type, type, (
% 3.88/2.74 s42: $i)).
% 3.88/2.74 tff(s41_type, type, (
% 3.88/2.74 s41: $i)).
% 3.88/2.74 tff(s40_type, type, (
% 3.88/2.74 s40: $i)).
% 3.88/2.74 tff(s39_type, type, (
% 3.88/2.74 s39: $i)).
% 3.88/2.74 tff(s38_type, type, (
% 3.88/2.74 s38: $i)).
% 3.88/2.74 tff(s37_type, type, (
% 3.88/2.74 s37: $i)).
% 3.88/2.74 tff(s36_type, type, (
% 3.88/2.74 s36: $i)).
% 3.88/2.74 tff(s35_type, type, (
% 3.88/2.74 s35: $i)).
% 3.88/2.74 tff(s34_type, type, (
% 3.88/2.74 s34: $i)).
% 3.88/2.74 tff(s33_type, type, (
% 3.88/2.74 s33: $i)).
% 3.88/2.74 tff(s32_type, type, (
% 3.88/2.74 s32: $i)).
% 3.88/2.74 tff(s31_type, type, (
% 3.88/2.74 s31: $i)).
% 3.88/2.74 tff(s30_type, type, (
% 3.88/2.74 s30: $i)).
% 3.88/2.74 tff(s29_type, type, (
% 3.88/2.74 s29: $i)).
% 3.88/2.74 tff(s28_type, type, (
% 3.88/2.74 s28: $i)).
% 3.88/2.74 tff(s27_type, type, (
% 3.88/2.74 s27: $i)).
% 3.88/2.74 tff(s26_type, type, (
% 3.88/2.74 s26: $i)).
% 3.88/2.74 tff(s25_type, type, (
% 3.88/2.74 s25: $i)).
% 3.88/2.74 tff(s24_type, type, (
% 3.88/2.74 s24: $i)).
% 3.88/2.74 tff(s23_type, type, (
% 3.88/2.74 s23: $i)).
% 3.88/2.74 tff(s22_type, type, (
% 3.88/2.74 s22: $i)).
% 3.88/2.74 tff(s21_type, type, (
% 3.88/2.74 s21: $i)).
% 3.88/2.74 tff(s20_type, type, (
% 3.88/2.74 s20: $i)).
% 3.88/2.74 tff(s19_type, type, (
% 3.88/2.74 s19: $i)).
% 3.88/2.74 tff(s18_type, type, (
% 3.88/2.74 s18: $i)).
% 3.88/2.74 tff(s17_type, type, (
% 3.88/2.74 s17: $i)).
% 3.88/2.74 tff(s16_type, type, (
% 3.88/2.74 s16: $i)).
% 3.88/2.74 tff(s15_type, type, (
% 3.88/2.74 s15: $i)).
% 3.88/2.74 tff(s14_type, type, (
% 3.88/2.74 s14: $i)).
% 3.88/2.74 tff(s13_type, type, (
% 3.88/2.74 s13: $i)).
% 3.88/2.74 tff(s12_type, type, (
% 3.88/2.74 s12: $i)).
% 3.88/2.74 tff(s11_type, type, (
% 3.88/2.74 s11: $i)).
% 3.88/2.74 tff(s10_type, type, (
% 3.88/2.74 s10: $i)).
% 3.88/2.74 tff(s9_type, type, (
% 3.88/2.74 s9: $i)).
% 3.88/2.74 tff(s8_type, type, (
% 3.88/2.74 s8: $i)).
% 3.88/2.74 tff(s7_type, type, (
% 3.88/2.74 s7: $i)).
% 3.88/2.74 tff(s6_type, type, (
% 3.88/2.74 s6: $i)).
% 3.88/2.74 tff(s5_type, type, (
% 3.88/2.74 s5: $i)).
% 3.88/2.74 tff(s4_type, type, (
% 3.88/2.74 s4: $i)).
% 3.88/2.74 tff(s3_type, type, (
% 3.88/2.74 s3: $i)).
% 3.88/2.74 tff(s2_type, type, (
% 3.88/2.74 s2: $i)).
% 3.88/2.74 tff(s1_type, type, (
% 3.88/2.74 s1: $i)).
% 3.88/2.74 tff(node8_type, type, (
% 3.88/2.74 node8: $i > $o)).
% 3.88/2.74 tff(s0_type, type, (
% 3.88/2.74 s0: $i)).
% 3.88/2.74 tff(node14_type, type, (
% 3.88/2.74 node14: ( $i * $i ) > $o)).
% 3.88/2.74 tff(trans_type, type, (
% 3.88/2.74 trans: ( $i * $i ) > $o)).
% 3.88/2.74 tff(succ_type, type, (
% 3.88/2.74 succ: ( $i * $i ) > $o)).
% 3.88/2.74 tff(node17_type, type, (
% 3.88/2.74 node17: ( $i * $i ) > $o)).
% 3.88/2.74 tff(node15_type, type, (
% 3.88/2.74 node15: $i > $o)).
% 3.88/2.74 tff(node16_type, type, (
% 3.88/2.74 node16: $i > $o)).
% 3.88/2.74 tff(node18_type, type, (
% 3.88/2.74 node18: ( $i * $i ) > $o)).
% 3.88/2.74 tff(node11_type, type, (
% 3.88/2.74 node11: $i > $o)).
% 3.88/2.74 tff(node7_type, type, (
% 3.88/2.74 node7: ( $i * $i ) > $o)).
% 3.88/2.74 tff(node10_type, type, (
% 3.88/2.74 node10: $i > $o)).
% 3.88/2.74 tff(node4_type, type, (
% 3.88/2.74 node4: $i > $o)).
% 3.88/2.74 tff(node2_type, type, (
% 3.88/2.74 node2: $i > $o)).
% 3.88/2.74 tff(until2p29_type, type, (
% 3.88/2.74 until2p29: $i > $o)).
% 3.88/2.74 tff(xuntil2p30_type, type, (
% 3.88/2.74 xuntil2p30: $i > $o)).
% 3.88/2.74 tff(last_type, type, (
% 3.88/2.74 last: $i > $o)).
% 3.88/2.74 tff(loop_type, type, (
% 3.88/2.74 loop: $o)).
% 3.88/2.74 tff(1,plain,
% 3.88/2.74 (m_main_v_state1(s0, c_n1) <=> m_main_v_state1(s0, c_n1)),
% 3.88/2.74 inference(rewrite,[status(thm)],[])).
% 3.88/2.74 tff(2,axiom,(m_main_v_state1(s0, c_n1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_11')).
% 3.88/2.74 tff(3,plain,
% 3.88/2.74 (m_main_v_state1(s0, c_n1)),
% 3.88/2.74 inference(modus_ponens,[status(thm)],[2, 1])).
% 3.88/2.74 tff(4,plain,
% 3.88/2.74 (^[X: $i] : refl(((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1))) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1))))),
% 3.88/2.74 inference(bind,[status(th)],[])).
% 3.88/2.74 tff(5,plain,
% 3.88/2.74 (![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1))) <=> ![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))),
% 3.88/2.74 inference(quant_intro,[status(thm)],[4])).
% 3.88/2.74 tff(6,plain,
% 3.88/2.74 (![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1))) <=> ![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))),
% 3.88/2.74 inference(rewrite,[status(thm)],[])).
% 3.88/2.74 tff(7,axiom,(![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_2')).
% 3.88/2.74 tff(8,plain,
% 3.88/2.74 (![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))),
% 3.88/2.74 inference(modus_ponens,[status(thm)],[7, 6])).
% 3.88/2.74 tff(9,plain,(
% 3.88/2.74 ![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))),
% 3.88/2.74 inference(skolemize,[status(sab)],[8])).
% 3.88/2.74 tff(10,plain,
% 3.88/2.74 (![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))),
% 3.88/2.74 inference(modus_ponens,[status(thm)],[9, 5])).
% 3.88/2.74 tff(11,plain,
% 3.88/2.74 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s0, c_n1)) | (~m_main_v_state1(s0, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s0, c_n1)) | (~m_main_v_state1(s0, c_t1)))),
% 3.88/2.74 inference(rewrite,[status(thm)],[])).
% 3.88/2.74 tff(12,plain,
% 3.88/2.74 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s0, c_n1)) | (~m_main_v_state1(s0, c_t1)))),
% 3.88/2.74 inference(quant_inst,[status(thm)],[])).
% 3.88/2.74 tff(13,plain,
% 3.88/2.74 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s0, c_n1)) | (~m_main_v_state1(s0, c_t1))),
% 3.88/2.74 inference(modus_ponens,[status(thm)],[12, 11])).
% 3.88/2.74 tff(14,plain,
% 3.88/2.74 (~m_main_v_state1(s0, c_t1)),
% 3.88/2.74 inference(unit_resolution,[status(thm)],[13, 10, 3])).
% 3.88/2.74 tff(15,plain,
% 3.88/2.74 (^[X: $i] : refl((m_main_v_state1(X, c_t1) | (~node8(X))) <=> (m_main_v_state1(X, c_t1) | (~node8(X))))),
% 3.88/2.74 inference(bind,[status(th)],[])).
% 3.88/2.74 tff(16,plain,
% 3.88/2.74 (![X: $i] : (m_main_v_state1(X, c_t1) | (~node8(X))) <=> ![X: $i] : (m_main_v_state1(X, c_t1) | (~node8(X)))),
% 3.88/2.74 inference(quant_intro,[status(thm)],[15])).
% 3.88/2.74 tff(17,plain,
% 3.88/2.74 (![X: $i] : (m_main_v_state1(X, c_t1) | (~node8(X))) <=> ![X: $i] : (m_main_v_state1(X, c_t1) | (~node8(X)))),
% 3.88/2.74 inference(rewrite,[status(thm)],[])).
% 3.88/2.74 tff(18,axiom,(![X: $i] : (m_main_v_state1(X, c_t1) | (~node8(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_36')).
% 3.88/2.74 tff(19,plain,
% 3.88/2.74 (![X: $i] : (m_main_v_state1(X, c_t1) | (~node8(X)))),
% 3.88/2.74 inference(modus_ponens,[status(thm)],[18, 17])).
% 3.88/2.74 tff(20,plain,(
% 3.88/2.74 ![X: $i] : (m_main_v_state1(X, c_t1) | (~node8(X)))),
% 3.88/2.74 inference(skolemize,[status(sab)],[19])).
% 3.88/2.74 tff(21,plain,
% 3.88/2.74 (![X: $i] : (m_main_v_state1(X, c_t1) | (~node8(X)))),
% 3.88/2.74 inference(modus_ponens,[status(thm)],[20, 16])).
% 3.88/2.74 tff(22,plain,
% 3.88/2.74 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node8(X)))) | (m_main_v_state1(s0, c_t1) | (~node8(s0)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node8(X)))) | m_main_v_state1(s0, c_t1) | (~node8(s0)))),
% 3.88/2.74 inference(rewrite,[status(thm)],[])).
% 3.88/2.74 tff(23,plain,
% 3.88/2.74 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node8(X)))) | (m_main_v_state1(s0, c_t1) | (~node8(s0)))),
% 3.88/2.74 inference(quant_inst,[status(thm)],[])).
% 3.88/2.74 tff(24,plain,
% 3.88/2.74 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node8(X)))) | m_main_v_state1(s0, c_t1) | (~node8(s0))),
% 3.88/2.74 inference(modus_ponens,[status(thm)],[23, 22])).
% 3.88/2.74 tff(25,plain,
% 3.88/2.74 (~node8(s0)),
% 3.88/2.74 inference(unit_resolution,[status(thm)],[24, 21, 14])).
% 3.88/2.74 tff(26,plain,
% 3.88/2.74 (^[Y: $i, X: $i] : refl(((~succ(X, Y)) | trans(X, Y)) <=> ((~succ(X, Y)) | trans(X, Y)))),
% 3.88/2.74 inference(bind,[status(th)],[])).
% 3.88/2.74 tff(27,plain,
% 3.88/2.74 (![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))),
% 3.88/2.74 inference(quant_intro,[status(thm)],[26])).
% 3.88/2.74 tff(28,plain,
% 3.88/2.74 (![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))),
% 3.88/2.74 inference(rewrite,[status(thm)],[])).
% 3.88/2.74 tff(29,axiom,(![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound206')).
% 3.88/2.74 tff(30,plain,
% 3.88/2.74 (![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))),
% 3.88/2.74 inference(modus_ponens,[status(thm)],[29, 28])).
% 3.88/2.74 tff(31,plain,(
% 3.88/2.74 ![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))),
% 3.88/2.74 inference(skolemize,[status(sab)],[30])).
% 3.88/2.74 tff(32,plain,
% 3.88/2.74 (![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))),
% 3.88/2.74 inference(modus_ponens,[status(thm)],[31, 27])).
% 3.88/2.74 tff(33,plain,
% 3.88/2.74 (succ(s0, s1) <=> succ(s0, s1)),
% 3.88/2.74 inference(rewrite,[status(thm)],[])).
% 3.88/2.74 tff(34,axiom,(succ(s0, s1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound1')).
% 3.88/2.74 tff(35,plain,
% 3.88/2.74 (succ(s0, s1)),
% 3.88/2.74 inference(modus_ponens,[status(thm)],[34, 33])).
% 3.88/2.74 tff(36,plain,
% 3.88/2.74 (((~![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))),
% 3.88/2.74 inference(rewrite,[status(thm)],[])).
% 3.88/2.74 tff(37,plain,
% 3.88/2.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s0, s1)) | trans(s0, s1))),
% 3.88/2.74 inference(quant_inst,[status(thm)],[])).
% 3.88/2.74 tff(38,plain,
% 3.88/2.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s0, s1)) | trans(s0, s1)),
% 3.88/2.74 inference(modus_ponens,[status(thm)],[37, 36])).
% 3.88/2.74 tff(39,plain,
% 3.88/2.74 (trans(s0, s1)),
% 3.88/2.74 inference(unit_resolution,[status(thm)],[38, 35, 32])).
% 3.88/2.74 tff(40,plain,
% 3.88/2.74 (^[Y: $i, X: $i] : refl(((~trans(X, Y)) | node14(X, Y)) <=> ((~trans(X, Y)) | node14(X, Y)))),
% 3.88/2.74 inference(bind,[status(th)],[])).
% 3.88/2.74 tff(41,plain,
% 3.88/2.74 (![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))),
% 3.88/2.74 inference(quant_intro,[status(thm)],[40])).
% 3.88/2.74 tff(42,plain,
% 3.88/2.74 (![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))),
% 3.88/2.74 inference(rewrite,[status(thm)],[])).
% 3.88/2.74 tff(43,axiom,(![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_55')).
% 3.88/2.74 tff(44,plain,
% 3.88/2.74 (![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))),
% 3.88/2.74 inference(modus_ponens,[status(thm)],[43, 42])).
% 3.88/2.74 tff(45,plain,(
% 3.88/2.74 ![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))),
% 3.88/2.74 inference(skolemize,[status(sab)],[44])).
% 3.88/2.74 tff(46,plain,
% 3.88/2.74 (![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))),
% 3.88/2.74 inference(modus_ponens,[status(thm)],[45, 41])).
% 3.88/2.74 tff(47,plain,
% 3.88/2.74 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s0, s1)) | node14(s0, s1))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s0, s1)) | node14(s0, s1))),
% 3.88/2.74 inference(rewrite,[status(thm)],[])).
% 3.88/2.74 tff(48,plain,
% 3.88/2.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s0, s1)) | node14(s0, s1))),
% 3.88/2.74 inference(quant_inst,[status(thm)],[])).
% 3.88/2.74 tff(49,plain,
% 3.88/2.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s0, s1)) | node14(s0, s1)),
% 3.88/2.74 inference(modus_ponens,[status(thm)],[48, 47])).
% 3.88/2.74 tff(50,plain,
% 3.88/2.74 (node14(s0, s1)),
% 3.88/2.74 inference(unit_resolution,[status(thm)],[49, 46, 39])).
% 3.88/2.74 tff(51,plain,
% 3.88/2.74 (^[Y: $i, X: $i] : refl(((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node8(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2)) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node8(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2)))),
% 3.88/2.74 inference(bind,[status(th)],[])).
% 3.88/2.74 tff(52,plain,
% 3.88/2.74 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node8(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2)) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node8(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))),
% 3.88/2.74 inference(quant_intro,[status(thm)],[51])).
% 3.88/2.74 tff(53,plain,
% 3.88/2.74 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node8(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2)) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node8(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))),
% 3.88/2.74 inference(rewrite,[status(thm)],[])).
% 3.88/2.74 tff(54,plain,
% 3.88/2.74 (^[Y: $i, X: $i] : trans(monotonicity(trans(monotonicity(rewrite(((node8(X) | (~m_main_v_state2(X, c_n2))) | (~m_main_v_state1(X, c_n1))) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node8(X))), ((((node8(X) | (~m_main_v_state2(X, c_n2))) | (~m_main_v_state1(X, c_n1))) | m_main_v_state2(Y, c_t2)) <=> (((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node8(X)) | m_main_v_state2(Y, c_t2)))), rewrite((((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node8(X)) | m_main_v_state2(Y, c_t2)) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node8(X) | m_main_v_state2(Y, c_t2))), ((((node8(X) | (~m_main_v_state2(X, c_n2))) | (~m_main_v_state1(X, c_n1))) | m_main_v_state2(Y, c_t2)) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node8(X) | m_main_v_state2(Y, c_t2)))), (((((node8(X) | (~m_main_v_state2(X, c_n2))) | (~m_main_v_state1(X, c_n1))) | m_main_v_state2(Y, c_t2)) | (~node14(X, Y))) <=> (((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node8(X) | m_main_v_state2(Y, c_t2)) | (~node14(X, Y))))), rewrite((((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node8(X) | m_main_v_state2(Y, c_t2)) | (~node14(X, Y))) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node8(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))), (((((node8(X) | (~m_main_v_state2(X, c_n2))) | (~m_main_v_state1(X, c_n1))) | m_main_v_state2(Y, c_t2)) | (~node14(X, Y))) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node8(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))))),
% 3.88/2.74 inference(bind,[status(th)],[])).
% 3.88/2.74 tff(55,plain,
% 3.88/2.74 (![Y: $i, X: $i] : ((((node8(X) | (~m_main_v_state2(X, c_n2))) | (~m_main_v_state1(X, c_n1))) | m_main_v_state2(Y, c_t2)) | (~node14(X, Y))) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node8(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))),
% 3.88/2.74 inference(quant_intro,[status(thm)],[54])).
% 3.88/2.74 tff(56,axiom,(![Y: $i, X: $i] : ((((node8(X) | (~m_main_v_state2(X, c_n2))) | (~m_main_v_state1(X, c_n1))) | m_main_v_state2(Y, c_t2)) | (~node14(X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_49')).
% 3.88/2.74 tff(57,plain,
% 3.88/2.74 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node8(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))),
% 3.88/2.74 inference(modus_ponens,[status(thm)],[56, 55])).
% 3.88/2.74 tff(58,plain,
% 3.88/2.74 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node8(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))),
% 3.88/2.74 inference(modus_ponens,[status(thm)],[57, 53])).
% 3.88/2.74 tff(59,plain,(
% 3.88/2.74 ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node8(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))),
% 3.88/2.74 inference(skolemize,[status(sab)],[58])).
% 3.88/2.74 tff(60,plain,
% 3.88/2.74 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node8(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))),
% 3.88/2.74 inference(modus_ponens,[status(thm)],[59, 52])).
% 3.88/2.74 tff(61,plain,
% 3.88/2.74 (m_main_v_state2(s0, c_n2) <=> m_main_v_state2(s0, c_n2)),
% 3.88/2.74 inference(rewrite,[status(thm)],[])).
% 3.88/2.74 tff(62,axiom,(m_main_v_state2(s0, c_n2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_12')).
% 3.88/2.74 tff(63,plain,
% 3.88/2.74 (m_main_v_state2(s0, c_n2)),
% 3.88/2.74 inference(modus_ponens,[status(thm)],[62, 61])).
% 3.88/2.74 tff(64,plain,
% 3.88/2.74 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node8(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s0, c_n1)) | (~m_main_v_state2(s0, c_n2)) | node8(s0) | m_main_v_state2(s1, c_t2) | (~node14(s0, s1)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node8(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s0, c_n1)) | (~m_main_v_state2(s0, c_n2)) | node8(s0) | m_main_v_state2(s1, c_t2) | (~node14(s0, s1)))),
% 3.88/2.74 inference(rewrite,[status(thm)],[])).
% 3.88/2.74 tff(65,plain,
% 3.88/2.74 (((~m_main_v_state1(s0, c_n1)) | (~m_main_v_state2(s0, c_n2)) | node8(s0) | (~node14(s0, s1)) | m_main_v_state2(s1, c_t2)) <=> ((~m_main_v_state1(s0, c_n1)) | (~m_main_v_state2(s0, c_n2)) | node8(s0) | m_main_v_state2(s1, c_t2) | (~node14(s0, s1)))),
% 3.88/2.74 inference(rewrite,[status(thm)],[])).
% 3.88/2.74 tff(66,plain,
% 3.88/2.74 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node8(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s0, c_n1)) | (~m_main_v_state2(s0, c_n2)) | node8(s0) | (~node14(s0, s1)) | m_main_v_state2(s1, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node8(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s0, c_n1)) | (~m_main_v_state2(s0, c_n2)) | node8(s0) | m_main_v_state2(s1, c_t2) | (~node14(s0, s1))))),
% 3.88/2.74 inference(monotonicity,[status(thm)],[65])).
% 3.88/2.74 tff(67,plain,
% 3.88/2.74 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node8(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s0, c_n1)) | (~m_main_v_state2(s0, c_n2)) | node8(s0) | (~node14(s0, s1)) | m_main_v_state2(s1, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node8(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s0, c_n1)) | (~m_main_v_state2(s0, c_n2)) | node8(s0) | m_main_v_state2(s1, c_t2) | (~node14(s0, s1)))),
% 3.88/2.74 inference(transitivity,[status(thm)],[66, 64])).
% 3.88/2.74 tff(68,plain,
% 3.88/2.74 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node8(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s0, c_n1)) | (~m_main_v_state2(s0, c_n2)) | node8(s0) | (~node14(s0, s1)) | m_main_v_state2(s1, c_t2))),
% 3.88/2.74 inference(quant_inst,[status(thm)],[])).
% 3.88/2.74 tff(69,plain,
% 3.88/2.74 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node8(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s0, c_n1)) | (~m_main_v_state2(s0, c_n2)) | node8(s0) | m_main_v_state2(s1, c_t2) | (~node14(s0, s1))),
% 3.88/2.74 inference(modus_ponens,[status(thm)],[68, 67])).
% 3.88/2.74 tff(70,plain,
% 3.88/2.74 (m_main_v_state2(s1, c_t2)),
% 3.88/2.74 inference(unit_resolution,[status(thm)],[69, 3, 63, 60, 50, 25])).
% 3.88/2.74 tff(71,plain,
% 3.88/2.74 (^[X: $i] : refl(((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2))) <=> ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2))))),
% 3.88/2.74 inference(bind,[status(th)],[])).
% 3.88/2.74 tff(72,plain,
% 3.88/2.74 (![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2))) <=> ![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))),
% 3.88/2.74 inference(quant_intro,[status(thm)],[71])).
% 3.88/2.74 tff(73,plain,
% 3.88/2.74 (![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2))) <=> ![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))),
% 3.88/2.74 inference(rewrite,[status(thm)],[])).
% 3.88/2.74 tff(74,axiom,(![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_6')).
% 3.88/2.74 tff(75,plain,
% 3.88/2.74 (![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))),
% 3.88/2.74 inference(modus_ponens,[status(thm)],[74, 73])).
% 3.88/2.74 tff(76,plain,(
% 3.88/2.74 ![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))),
% 3.88/2.74 inference(skolemize,[status(sab)],[75])).
% 3.88/2.74 tff(77,plain,
% 3.88/2.74 (![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))),
% 3.88/2.74 inference(modus_ponens,[status(thm)],[76, 72])).
% 3.88/2.74 tff(78,plain,
% 3.88/2.74 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s1, c_n2)) | (~m_main_v_state2(s1, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s1, c_n2)) | (~m_main_v_state2(s1, c_t2)))),
% 3.88/2.74 inference(rewrite,[status(thm)],[])).
% 3.88/2.74 tff(79,plain,
% 3.88/2.74 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s1, c_n2)) | (~m_main_v_state2(s1, c_t2)))),
% 3.88/2.74 inference(quant_inst,[status(thm)],[])).
% 3.88/2.74 tff(80,plain,
% 3.88/2.74 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s1, c_n2)) | (~m_main_v_state2(s1, c_t2))),
% 3.88/2.74 inference(modus_ponens,[status(thm)],[79, 78])).
% 3.88/2.74 tff(81,plain,
% 3.88/2.74 (~m_main_v_state2(s1, c_n2)),
% 3.88/2.74 inference(unit_resolution,[status(thm)],[80, 77, 70])).
% 3.88/2.74 tff(82,plain,
% 3.88/2.74 (^[X: $i] : refl((m_main_v_state2(X, c_n2) | (~node9(X))) <=> (m_main_v_state2(X, c_n2) | (~node9(X))))),
% 3.88/2.74 inference(bind,[status(th)],[])).
% 3.88/2.74 tff(83,plain,
% 3.88/2.74 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X))) <=> ![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))),
% 3.88/2.74 inference(quant_intro,[status(thm)],[82])).
% 3.88/2.74 tff(84,plain,
% 3.88/2.74 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X))) <=> ![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))),
% 3.88/2.74 inference(rewrite,[status(thm)],[])).
% 3.88/2.74 tff(85,axiom,(![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_37')).
% 3.88/2.74 tff(86,plain,
% 3.88/2.74 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))),
% 3.88/2.74 inference(modus_ponens,[status(thm)],[85, 84])).
% 3.88/2.74 tff(87,plain,(
% 3.88/2.74 ![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))),
% 3.88/2.74 inference(skolemize,[status(sab)],[86])).
% 3.88/2.74 tff(88,plain,
% 3.88/2.74 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))),
% 3.88/2.74 inference(modus_ponens,[status(thm)],[87, 83])).
% 3.88/2.74 tff(89,plain,
% 3.88/2.74 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s1, c_n2) | (~node9(s1)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s1, c_n2) | (~node9(s1)))),
% 3.88/2.74 inference(rewrite,[status(thm)],[])).
% 3.88/2.74 tff(90,plain,
% 3.88/2.74 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s1, c_n2) | (~node9(s1)))),
% 3.88/2.74 inference(quant_inst,[status(thm)],[])).
% 3.88/2.74 tff(91,plain,
% 3.88/2.74 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s1, c_n2) | (~node9(s1))),
% 3.88/2.74 inference(modus_ponens,[status(thm)],[90, 89])).
% 3.88/2.74 tff(92,plain,
% 3.88/2.74 (~node9(s1)),
% 3.88/2.74 inference(unit_resolution,[status(thm)],[91, 88, 81])).
% 3.88/2.74 tff(93,plain,
% 3.88/2.74 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s0, c_n2)) | (~m_main_v_state2(s0, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s0, c_n2)) | (~m_main_v_state2(s0, c_t2)))),
% 3.88/2.74 inference(rewrite,[status(thm)],[])).
% 3.88/2.74 tff(94,plain,
% 3.88/2.74 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s0, c_n2)) | (~m_main_v_state2(s0, c_t2)))),
% 3.88/2.74 inference(quant_inst,[status(thm)],[])).
% 3.88/2.74 tff(95,plain,
% 3.88/2.74 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s0, c_n2)) | (~m_main_v_state2(s0, c_t2))),
% 3.88/2.74 inference(modus_ponens,[status(thm)],[94, 93])).
% 3.88/2.74 tff(96,plain,
% 3.88/2.74 (~m_main_v_state2(s0, c_t2)),
% 3.88/2.74 inference(unit_resolution,[status(thm)],[95, 77, 63])).
% 3.88/2.74 tff(97,plain,
% 3.88/2.74 (^[X: $i] : refl((m_main_v_state2(X, c_t2) | (~node15(X))) <=> (m_main_v_state2(X, c_t2) | (~node15(X))))),
% 3.88/2.74 inference(bind,[status(th)],[])).
% 3.88/2.74 tff(98,plain,
% 3.88/2.74 (![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X))) <=> ![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))),
% 3.88/2.74 inference(quant_intro,[status(thm)],[97])).
% 3.88/2.74 tff(99,plain,
% 3.88/2.74 (![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X))) <=> ![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))),
% 3.88/2.74 inference(rewrite,[status(thm)],[])).
% 3.88/2.74 tff(100,axiom,(![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_57')).
% 3.88/2.74 tff(101,plain,
% 3.88/2.74 (![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))),
% 3.88/2.74 inference(modus_ponens,[status(thm)],[100, 99])).
% 3.88/2.74 tff(102,plain,(
% 3.88/2.74 ![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))),
% 3.88/2.74 inference(skolemize,[status(sab)],[101])).
% 3.88/2.74 tff(103,plain,
% 3.88/2.74 (![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))),
% 3.88/2.74 inference(modus_ponens,[status(thm)],[102, 98])).
% 3.88/2.74 tff(104,plain,
% 3.88/2.74 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s0, c_t2) | (~node15(s0)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s0, c_t2) | (~node15(s0)))),
% 3.88/2.74 inference(rewrite,[status(thm)],[])).
% 3.88/2.74 tff(105,plain,
% 3.88/2.74 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s0, c_t2) | (~node15(s0)))),
% 3.88/2.74 inference(quant_inst,[status(thm)],[])).
% 3.88/2.74 tff(106,plain,
% 3.88/2.74 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s0, c_t2) | (~node15(s0))),
% 3.88/2.74 inference(modus_ponens,[status(thm)],[105, 104])).
% 3.88/2.74 tff(107,plain,
% 3.88/2.74 (~node15(s0)),
% 3.88/2.74 inference(unit_resolution,[status(thm)],[106, 103, 96])).
% 3.88/2.74 tff(108,plain,
% 3.88/2.74 (^[X: $i] : refl((m_main_v_state1(X, c_t1) | (~node16(X))) <=> (m_main_v_state1(X, c_t1) | (~node16(X))))),
% 3.88/2.74 inference(bind,[status(th)],[])).
% 3.88/2.74 tff(109,plain,
% 3.88/2.74 (![X: $i] : (m_main_v_state1(X, c_t1) | (~node16(X))) <=> ![X: $i] : (m_main_v_state1(X, c_t1) | (~node16(X)))),
% 3.88/2.74 inference(quant_intro,[status(thm)],[108])).
% 3.88/2.74 tff(110,plain,
% 3.88/2.74 (![X: $i] : (m_main_v_state1(X, c_t1) | (~node16(X))) <=> ![X: $i] : (m_main_v_state1(X, c_t1) | (~node16(X)))),
% 3.88/2.74 inference(rewrite,[status(thm)],[])).
% 3.88/2.74 tff(111,axiom,(![X: $i] : (m_main_v_state1(X, c_t1) | (~node16(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_59')).
% 3.88/2.74 tff(112,plain,
% 3.88/2.74 (![X: $i] : (m_main_v_state1(X, c_t1) | (~node16(X)))),
% 3.88/2.74 inference(modus_ponens,[status(thm)],[111, 110])).
% 3.88/2.74 tff(113,plain,(
% 3.88/2.74 ![X: $i] : (m_main_v_state1(X, c_t1) | (~node16(X)))),
% 3.88/2.74 inference(skolemize,[status(sab)],[112])).
% 3.88/2.74 tff(114,plain,
% 3.88/2.74 (![X: $i] : (m_main_v_state1(X, c_t1) | (~node16(X)))),
% 3.88/2.74 inference(modus_ponens,[status(thm)],[113, 109])).
% 3.88/2.74 tff(115,plain,
% 3.88/2.74 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node16(X)))) | (m_main_v_state1(s0, c_t1) | (~node16(s0)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node16(X)))) | m_main_v_state1(s0, c_t1) | (~node16(s0)))),
% 3.88/2.74 inference(rewrite,[status(thm)],[])).
% 3.88/2.74 tff(116,plain,
% 3.88/2.74 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node16(X)))) | (m_main_v_state1(s0, c_t1) | (~node16(s0)))),
% 3.88/2.74 inference(quant_inst,[status(thm)],[])).
% 3.88/2.74 tff(117,plain,
% 3.88/2.74 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node16(X)))) | m_main_v_state1(s0, c_t1) | (~node16(s0))),
% 3.88/2.74 inference(modus_ponens,[status(thm)],[116, 115])).
% 3.88/2.74 tff(118,plain,
% 3.88/2.74 (~node16(s0)),
% 3.88/2.74 inference(unit_resolution,[status(thm)],[117, 114, 14])).
% 3.88/2.74 tff(119,plain,
% 3.88/2.74 (^[Y: $i, X: $i] : refl(((~trans(X, Y)) | node18(X, Y)) <=> ((~trans(X, Y)) | node18(X, Y)))),
% 3.88/2.74 inference(bind,[status(th)],[])).
% 3.88/2.74 tff(120,plain,
% 3.88/2.74 (![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))),
% 3.88/2.74 inference(quant_intro,[status(thm)],[119])).
% 3.88/2.74 tff(121,plain,
% 3.88/2.74 (![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))),
% 3.88/2.74 inference(rewrite,[status(thm)],[])).
% 3.88/2.74 tff(122,axiom,(![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_65')).
% 3.88/2.74 tff(123,plain,
% 3.88/2.74 (![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))),
% 3.88/2.74 inference(modus_ponens,[status(thm)],[122, 121])).
% 3.88/2.74 tff(124,plain,(
% 3.88/2.74 ![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))),
% 3.88/2.74 inference(skolemize,[status(sab)],[123])).
% 3.88/2.74 tff(125,plain,
% 3.88/2.74 (![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))),
% 3.88/2.74 inference(modus_ponens,[status(thm)],[124, 120])).
% 3.88/2.74 tff(126,plain,
% 3.88/2.74 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s0, s1)) | node18(s0, s1))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s0, s1)) | node18(s0, s1))),
% 3.88/2.74 inference(rewrite,[status(thm)],[])).
% 3.88/2.74 tff(127,plain,
% 3.88/2.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s0, s1)) | node18(s0, s1))),
% 3.88/2.74 inference(quant_inst,[status(thm)],[])).
% 3.88/2.74 tff(128,plain,
% 3.88/2.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s0, s1)) | node18(s0, s1)),
% 3.88/2.74 inference(modus_ponens,[status(thm)],[127, 126])).
% 3.88/2.74 tff(129,plain,
% 3.88/2.74 (node18(s0, s1)),
% 3.88/2.74 inference(unit_resolution,[status(thm)],[128, 125, 39])).
% 3.88/2.74 tff(130,plain,
% 3.88/2.74 (^[Y: $i, X: $i] : refl((node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y))) <=> (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y))))),
% 3.88/2.74 inference(bind,[status(th)],[])).
% 3.88/2.74 tff(131,plain,
% 3.88/2.74 (![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y))) <=> ![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))),
% 3.88/2.74 inference(quant_intro,[status(thm)],[130])).
% 3.88/2.74 tff(132,plain,
% 3.88/2.74 (![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y))) <=> ![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))),
% 3.88/2.74 inference(rewrite,[status(thm)],[])).
% 3.88/2.74 tff(133,plain,
% 3.88/2.74 (^[Y: $i, X: $i] : trans(monotonicity(rewrite(((node15(X) | node16(X)) | node17(X, Y)) <=> (node15(X) | node16(X) | node17(X, Y))), ((((node15(X) | node16(X)) | node17(X, Y)) | (~node18(X, Y))) <=> ((node15(X) | node16(X) | node17(X, Y)) | (~node18(X, Y))))), rewrite(((node15(X) | node16(X) | node17(X, Y)) | (~node18(X, Y))) <=> (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))), ((((node15(X) | node16(X)) | node17(X, Y)) | (~node18(X, Y))) <=> (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))))),
% 3.88/2.74 inference(bind,[status(th)],[])).
% 3.88/2.74 tff(134,plain,
% 3.88/2.74 (![Y: $i, X: $i] : (((node15(X) | node16(X)) | node17(X, Y)) | (~node18(X, Y))) <=> ![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))),
% 3.88/2.74 inference(quant_intro,[status(thm)],[133])).
% 3.88/2.74 tff(135,axiom,(![Y: $i, X: $i] : (((node15(X) | node16(X)) | node17(X, Y)) | (~node18(X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_64')).
% 3.88/2.74 tff(136,plain,
% 3.88/2.74 (![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))),
% 3.88/2.74 inference(modus_ponens,[status(thm)],[135, 134])).
% 3.88/2.74 tff(137,plain,
% 3.88/2.74 (![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))),
% 3.88/2.74 inference(modus_ponens,[status(thm)],[136, 132])).
% 3.88/2.74 tff(138,plain,(
% 3.88/2.74 ![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))),
% 3.88/2.74 inference(skolemize,[status(sab)],[137])).
% 3.88/2.74 tff(139,plain,
% 3.88/2.74 (![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))),
% 3.88/2.74 inference(modus_ponens,[status(thm)],[138, 131])).
% 3.88/2.74 tff(140,plain,
% 3.88/2.74 (((~![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))) | (node16(s0) | node15(s0) | node17(s0, s1) | (~node18(s0, s1)))) <=> ((~![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))) | node16(s0) | node15(s0) | node17(s0, s1) | (~node18(s0, s1)))),
% 3.88/2.74 inference(rewrite,[status(thm)],[])).
% 3.88/2.74 tff(141,plain,
% 3.88/2.74 ((node15(s0) | node16(s0) | node17(s0, s1) | (~node18(s0, s1))) <=> (node16(s0) | node15(s0) | node17(s0, s1) | (~node18(s0, s1)))),
% 3.88/2.74 inference(rewrite,[status(thm)],[])).
% 3.88/2.74 tff(142,plain,
% 3.88/2.74 (((~![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))) | (node15(s0) | node16(s0) | node17(s0, s1) | (~node18(s0, s1)))) <=> ((~![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))) | (node16(s0) | node15(s0) | node17(s0, s1) | (~node18(s0, s1))))),
% 3.88/2.74 inference(monotonicity,[status(thm)],[141])).
% 3.88/2.74 tff(143,plain,
% 3.88/2.74 (((~![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))) | (node15(s0) | node16(s0) | node17(s0, s1) | (~node18(s0, s1)))) <=> ((~![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))) | node16(s0) | node15(s0) | node17(s0, s1) | (~node18(s0, s1)))),
% 3.88/2.74 inference(transitivity,[status(thm)],[142, 140])).
% 3.88/2.74 tff(144,plain,
% 3.88/2.74 ((~![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))) | (node15(s0) | node16(s0) | node17(s0, s1) | (~node18(s0, s1)))),
% 3.88/2.75 inference(quant_inst,[status(thm)],[])).
% 3.88/2.75 tff(145,plain,
% 3.88/2.75 ((~![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))) | node16(s0) | node15(s0) | node17(s0, s1) | (~node18(s0, s1))),
% 3.88/2.75 inference(modus_ponens,[status(thm)],[144, 143])).
% 3.88/2.75 tff(146,plain,
% 3.88/2.75 (node17(s0, s1)),
% 3.88/2.75 inference(unit_resolution,[status(thm)],[145, 139, 129, 118, 107])).
% 3.88/2.75 tff(147,plain,
% 3.88/2.75 (m_main_v_turn(s0, c_1) <=> m_main_v_turn(s0, c_1)),
% 3.88/2.75 inference(rewrite,[status(thm)],[])).
% 3.88/2.75 tff(148,axiom,(m_main_v_turn(s0, c_1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_13')).
% 3.88/2.75 tff(149,plain,
% 3.88/2.75 (m_main_v_turn(s0, c_1)),
% 3.88/2.75 inference(modus_ponens,[status(thm)],[148, 147])).
% 3.88/2.75 tff(150,plain,
% 3.88/2.75 (^[X: $i] : refl(((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2))) <=> ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2))))),
% 3.88/2.75 inference(bind,[status(th)],[])).
% 3.88/2.75 tff(151,plain,
% 3.88/2.75 (![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2))) <=> ![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))),
% 3.88/2.75 inference(quant_intro,[status(thm)],[150])).
% 3.88/2.75 tff(152,plain,
% 3.88/2.75 (![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2))) <=> ![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))),
% 3.88/2.75 inference(rewrite,[status(thm)],[])).
% 3.88/2.75 tff(153,axiom,(![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_10')).
% 3.88/2.75 tff(154,plain,
% 3.88/2.75 (![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))),
% 3.88/2.75 inference(modus_ponens,[status(thm)],[153, 152])).
% 3.88/2.75 tff(155,plain,(
% 3.88/2.75 ![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))),
% 3.88/2.75 inference(skolemize,[status(sab)],[154])).
% 3.88/2.75 tff(156,plain,
% 3.88/2.75 (![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))),
% 3.88/2.75 inference(modus_ponens,[status(thm)],[155, 151])).
% 3.88/2.75 tff(157,plain,
% 3.88/2.75 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s0, c_1)) | (~m_main_v_turn(s0, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s0, c_1)) | (~m_main_v_turn(s0, c_2)))),
% 3.88/2.75 inference(rewrite,[status(thm)],[])).
% 3.88/2.75 tff(158,plain,
% 3.88/2.75 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s0, c_1)) | (~m_main_v_turn(s0, c_2)))),
% 3.88/2.75 inference(quant_inst,[status(thm)],[])).
% 3.88/2.75 tff(159,plain,
% 3.88/2.75 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s0, c_1)) | (~m_main_v_turn(s0, c_2))),
% 3.88/2.75 inference(modus_ponens,[status(thm)],[158, 157])).
% 3.88/2.75 tff(160,plain,
% 3.88/2.75 (~m_main_v_turn(s0, c_2)),
% 3.88/2.75 inference(unit_resolution,[status(thm)],[159, 156, 149])).
% 3.88/2.75 tff(161,plain,
% 3.88/2.75 (^[V: $i, Y: $i, X: $i] : refl(((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V))) <=> ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V))))),
% 3.88/2.75 inference(bind,[status(th)],[])).
% 3.88/2.75 tff(162,plain,
% 3.88/2.75 (![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V))) <=> ![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V)))),
% 3.88/2.75 inference(quant_intro,[status(thm)],[161])).
% 3.88/2.75 tff(163,plain,
% 3.88/2.75 (![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V))) <=> ![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V)))),
% 3.88/2.75 inference(rewrite,[status(thm)],[])).
% 3.88/2.75 tff(164,plain,
% 3.88/2.75 (^[V: $i, Y: $i, X: $i] : rewrite((((~m_main_v_turn(Y, V)) | m_main_v_turn(X, V)) | (~node17(X, Y))) <=> ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V))))),
% 3.88/2.75 inference(bind,[status(th)],[])).
% 3.88/2.75 tff(165,plain,
% 3.88/2.75 (![V: $i, Y: $i, X: $i] : (((~m_main_v_turn(Y, V)) | m_main_v_turn(X, V)) | (~node17(X, Y))) <=> ![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V)))),
% 3.88/2.75 inference(quant_intro,[status(thm)],[164])).
% 3.88/2.75 tff(166,axiom,(![V: $i, Y: $i, X: $i] : (((~m_main_v_turn(Y, V)) | m_main_v_turn(X, V)) | (~node17(X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_61')).
% 3.88/2.75 tff(167,plain,
% 3.88/2.75 (![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V)))),
% 3.88/2.75 inference(modus_ponens,[status(thm)],[166, 165])).
% 3.88/2.75 tff(168,plain,
% 3.88/2.75 (![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V)))),
% 3.88/2.75 inference(modus_ponens,[status(thm)],[167, 163])).
% 3.88/2.75 tff(169,plain,(
% 3.88/2.75 ![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V)))),
% 3.88/2.75 inference(skolemize,[status(sab)],[168])).
% 3.88/2.75 tff(170,plain,
% 3.88/2.75 (![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V)))),
% 3.88/2.75 inference(modus_ponens,[status(thm)],[169, 162])).
% 3.88/2.75 tff(171,plain,
% 3.88/2.75 (((~![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V)))) | (m_main_v_turn(s0, c_2) | (~m_main_v_turn(s1, c_2)) | (~node17(s0, s1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V)))) | m_main_v_turn(s0, c_2) | (~m_main_v_turn(s1, c_2)) | (~node17(s0, s1)))),
% 3.88/2.75 inference(rewrite,[status(thm)],[])).
% 3.88/2.75 tff(172,plain,
% 3.88/2.75 (((~node17(s0, s1)) | m_main_v_turn(s0, c_2) | (~m_main_v_turn(s1, c_2))) <=> (m_main_v_turn(s0, c_2) | (~m_main_v_turn(s1, c_2)) | (~node17(s0, s1)))),
% 3.88/2.75 inference(rewrite,[status(thm)],[])).
% 3.88/2.75 tff(173,plain,
% 3.88/2.75 (((~![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V)))) | ((~node17(s0, s1)) | m_main_v_turn(s0, c_2) | (~m_main_v_turn(s1, c_2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V)))) | (m_main_v_turn(s0, c_2) | (~m_main_v_turn(s1, c_2)) | (~node17(s0, s1))))),
% 3.88/2.75 inference(monotonicity,[status(thm)],[172])).
% 3.88/2.75 tff(174,plain,
% 3.88/2.75 (((~![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V)))) | ((~node17(s0, s1)) | m_main_v_turn(s0, c_2) | (~m_main_v_turn(s1, c_2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V)))) | m_main_v_turn(s0, c_2) | (~m_main_v_turn(s1, c_2)) | (~node17(s0, s1)))),
% 3.88/2.75 inference(transitivity,[status(thm)],[173, 171])).
% 3.88/2.75 tff(175,plain,
% 3.88/2.75 ((~![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V)))) | ((~node17(s0, s1)) | m_main_v_turn(s0, c_2) | (~m_main_v_turn(s1, c_2)))),
% 3.88/2.75 inference(quant_inst,[status(thm)],[])).
% 3.88/2.75 tff(176,plain,
% 3.88/2.75 ((~![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V)))) | m_main_v_turn(s0, c_2) | (~m_main_v_turn(s1, c_2)) | (~node17(s0, s1))),
% 3.88/2.75 inference(modus_ponens,[status(thm)],[175, 174])).
% 3.88/2.75 tff(177,plain,
% 3.88/2.75 (~m_main_v_turn(s1, c_2)),
% 3.88/2.75 inference(unit_resolution,[status(thm)],[176, 170, 160, 146])).
% 3.88/2.75 tff(178,plain,
% 3.88/2.75 (^[X: $i] : refl((m_main_v_turn(X, c_2) | (~node12(X))) <=> (m_main_v_turn(X, c_2) | (~node12(X))))),
% 3.88/2.75 inference(bind,[status(th)],[])).
% 3.88/2.75 tff(179,plain,
% 3.88/2.75 (![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X))) <=> ![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))),
% 3.88/2.75 inference(quant_intro,[status(thm)],[178])).
% 3.88/2.75 tff(180,plain,
% 3.88/2.75 (![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X))) <=> ![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))),
% 3.88/2.75 inference(rewrite,[status(thm)],[])).
% 3.88/2.75 tff(181,axiom,(![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_45')).
% 3.88/2.75 tff(182,plain,
% 3.88/2.75 (![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))),
% 3.88/2.75 inference(modus_ponens,[status(thm)],[181, 180])).
% 3.88/2.75 tff(183,plain,(
% 3.88/2.75 ![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))),
% 3.88/2.75 inference(skolemize,[status(sab)],[182])).
% 3.88/2.75 tff(184,plain,
% 3.88/2.75 (![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))),
% 3.88/2.75 inference(modus_ponens,[status(thm)],[183, 179])).
% 3.88/2.75 tff(185,plain,
% 3.88/2.75 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s1, c_2) | (~node12(s1)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s1, c_2) | (~node12(s1)))),
% 3.88/2.75 inference(rewrite,[status(thm)],[])).
% 3.88/2.75 tff(186,plain,
% 3.88/2.75 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s1, c_2) | (~node12(s1)))),
% 3.88/2.75 inference(quant_inst,[status(thm)],[])).
% 3.88/2.75 tff(187,plain,
% 3.88/2.75 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s1, c_2) | (~node12(s1))),
% 3.88/2.75 inference(modus_ponens,[status(thm)],[186, 185])).
% 3.88/2.75 tff(188,plain,
% 3.88/2.75 (~node12(s1)),
% 3.88/2.75 inference(unit_resolution,[status(thm)],[187, 184, 177])).
% 3.88/2.75 tff(189,plain,
% 3.88/2.75 (^[X: $i] : refl((m_main_v_state2(X, c_t2) | (~node1(X))) <=> (m_main_v_state2(X, c_t2) | (~node1(X))))),
% 3.88/2.75 inference(bind,[status(th)],[])).
% 3.88/2.75 tff(190,plain,
% 3.88/2.75 (![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X))) <=> ![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))),
% 3.88/2.75 inference(quant_intro,[status(thm)],[189])).
% 3.88/2.75 tff(191,plain,
% 3.88/2.75 (![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X))) <=> ![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))),
% 3.88/2.75 inference(rewrite,[status(thm)],[])).
% 3.88/2.75 tff(192,axiom,(![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_15')).
% 3.88/2.75 tff(193,plain,
% 3.88/2.75 (![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))),
% 3.88/2.75 inference(modus_ponens,[status(thm)],[192, 191])).
% 3.88/2.75 tff(194,plain,(
% 3.88/2.75 ![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))),
% 3.88/2.75 inference(skolemize,[status(sab)],[193])).
% 3.88/2.75 tff(195,plain,
% 3.88/2.75 (![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))),
% 3.88/2.75 inference(modus_ponens,[status(thm)],[194, 190])).
% 3.88/2.75 tff(196,plain,
% 3.88/2.75 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s0, c_t2) | (~node1(s0)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s0, c_t2) | (~node1(s0)))),
% 3.88/2.75 inference(rewrite,[status(thm)],[])).
% 3.88/2.75 tff(197,plain,
% 3.88/2.75 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s0, c_t2) | (~node1(s0)))),
% 3.88/2.75 inference(quant_inst,[status(thm)],[])).
% 3.88/2.75 tff(198,plain,
% 3.88/2.75 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s0, c_t2) | (~node1(s0))),
% 3.88/2.75 inference(modus_ponens,[status(thm)],[197, 196])).
% 3.88/2.75 tff(199,plain,
% 3.88/2.75 (~node1(s0)),
% 3.88/2.75 inference(unit_resolution,[status(thm)],[198, 195, 96])).
% 3.88/2.75 tff(200,plain,
% 3.88/2.75 (^[Y: $i, X: $i] : refl(((~trans(X, Y)) | node7(X, Y)) <=> ((~trans(X, Y)) | node7(X, Y)))),
% 3.88/2.75 inference(bind,[status(th)],[])).
% 3.88/2.75 tff(201,plain,
% 3.88/2.75 (![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))),
% 3.88/2.75 inference(quant_intro,[status(thm)],[200])).
% 3.88/2.75 tff(202,plain,
% 3.88/2.75 (![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))),
% 3.88/2.75 inference(rewrite,[status(thm)],[])).
% 3.88/2.75 tff(203,axiom,(![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_34')).
% 3.88/2.75 tff(204,plain,
% 3.88/2.75 (![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))),
% 3.88/2.75 inference(modus_ponens,[status(thm)],[203, 202])).
% 3.88/2.75 tff(205,plain,(
% 3.88/2.75 ![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))),
% 3.88/2.75 inference(skolemize,[status(sab)],[204])).
% 3.88/2.75 tff(206,plain,
% 3.88/2.75 (![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))),
% 3.88/2.75 inference(modus_ponens,[status(thm)],[205, 201])).
% 3.88/2.75 tff(207,plain,
% 3.88/2.75 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s0, s1)) | node7(s0, s1))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s0, s1)) | node7(s0, s1))),
% 3.88/2.75 inference(rewrite,[status(thm)],[])).
% 3.88/2.75 tff(208,plain,
% 3.88/2.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s0, s1)) | node7(s0, s1))),
% 3.88/2.75 inference(quant_inst,[status(thm)],[])).
% 3.88/2.75 tff(209,plain,
% 3.88/2.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s0, s1)) | node7(s0, s1)),
% 3.88/2.75 inference(modus_ponens,[status(thm)],[208, 207])).
% 3.88/2.75 tff(210,plain,
% 3.88/2.75 (node7(s0, s1)),
% 3.88/2.75 inference(unit_resolution,[status(thm)],[209, 206, 39])).
% 3.88/2.75 tff(211,plain,
% 3.88/2.75 (^[Y: $i, X: $i] : refl(((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1)) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1)))),
% 3.88/2.75 inference(bind,[status(th)],[])).
% 3.88/2.75 tff(212,plain,
% 3.88/2.75 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1)) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))),
% 3.88/2.75 inference(quant_intro,[status(thm)],[211])).
% 3.88/2.75 tff(213,plain,
% 3.88/2.75 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1)) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))),
% 3.88/2.75 inference(rewrite,[status(thm)],[])).
% 3.88/2.75 tff(214,plain,
% 3.88/2.75 (^[Y: $i, X: $i] : trans(monotonicity(trans(monotonicity(rewrite(((node1(X) | (~m_main_v_state1(X, c_n1))) | (~m_main_v_state2(X, c_n2))) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node1(X))), ((((node1(X) | (~m_main_v_state1(X, c_n1))) | (~m_main_v_state2(X, c_n2))) | m_main_v_state1(Y, c_t1)) <=> (((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node1(X)) | m_main_v_state1(Y, c_t1)))), rewrite((((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node1(X)) | m_main_v_state1(Y, c_t1)) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | m_main_v_state1(Y, c_t1))), ((((node1(X) | (~m_main_v_state1(X, c_n1))) | (~m_main_v_state2(X, c_n2))) | m_main_v_state1(Y, c_t1)) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | m_main_v_state1(Y, c_t1)))), (((((node1(X) | (~m_main_v_state1(X, c_n1))) | (~m_main_v_state2(X, c_n2))) | m_main_v_state1(Y, c_t1)) | (~node7(X, Y))) <=> (((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | m_main_v_state1(Y, c_t1)) | (~node7(X, Y))))), rewrite((((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | m_main_v_state1(Y, c_t1)) | (~node7(X, Y))) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))), (((((node1(X) | (~m_main_v_state1(X, c_n1))) | (~m_main_v_state2(X, c_n2))) | m_main_v_state1(Y, c_t1)) | (~node7(X, Y))) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))))),
% 3.88/2.75 inference(bind,[status(th)],[])).
% 3.88/2.75 tff(215,plain,
% 3.88/2.75 (![Y: $i, X: $i] : ((((node1(X) | (~m_main_v_state1(X, c_n1))) | (~m_main_v_state2(X, c_n2))) | m_main_v_state1(Y, c_t1)) | (~node7(X, Y))) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))),
% 3.88/2.75 inference(quant_intro,[status(thm)],[214])).
% 3.88/2.75 tff(216,axiom,(![Y: $i, X: $i] : ((((node1(X) | (~m_main_v_state1(X, c_n1))) | (~m_main_v_state2(X, c_n2))) | m_main_v_state1(Y, c_t1)) | (~node7(X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_28')).
% 3.88/2.75 tff(217,plain,
% 3.88/2.75 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))),
% 3.88/2.75 inference(modus_ponens,[status(thm)],[216, 215])).
% 3.88/2.75 tff(218,plain,
% 3.88/2.75 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))),
% 3.88/2.75 inference(modus_ponens,[status(thm)],[217, 213])).
% 3.88/2.75 tff(219,plain,(
% 3.88/2.75 ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))),
% 3.88/2.75 inference(skolemize,[status(sab)],[218])).
% 3.88/2.75 tff(220,plain,
% 3.88/2.75 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))),
% 3.88/2.75 inference(modus_ponens,[status(thm)],[219, 212])).
% 3.88/2.75 tff(221,plain,
% 3.88/2.75 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s0, c_n1)) | (~m_main_v_state2(s0, c_n2)) | node1(s0) | m_main_v_state1(s1, c_t1) | (~node7(s0, s1)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s0, c_n1)) | (~m_main_v_state2(s0, c_n2)) | node1(s0) | m_main_v_state1(s1, c_t1) | (~node7(s0, s1)))),
% 3.88/2.75 inference(rewrite,[status(thm)],[])).
% 3.88/2.75 tff(222,plain,
% 3.88/2.75 (((~m_main_v_state1(s0, c_n1)) | (~m_main_v_state2(s0, c_n2)) | node1(s0) | (~node7(s0, s1)) | m_main_v_state1(s1, c_t1)) <=> ((~m_main_v_state1(s0, c_n1)) | (~m_main_v_state2(s0, c_n2)) | node1(s0) | m_main_v_state1(s1, c_t1) | (~node7(s0, s1)))),
% 3.88/2.75 inference(rewrite,[status(thm)],[])).
% 3.88/2.75 tff(223,plain,
% 3.88/2.75 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s0, c_n1)) | (~m_main_v_state2(s0, c_n2)) | node1(s0) | (~node7(s0, s1)) | m_main_v_state1(s1, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s0, c_n1)) | (~m_main_v_state2(s0, c_n2)) | node1(s0) | m_main_v_state1(s1, c_t1) | (~node7(s0, s1))))),
% 3.88/2.75 inference(monotonicity,[status(thm)],[222])).
% 3.88/2.75 tff(224,plain,
% 3.88/2.75 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s0, c_n1)) | (~m_main_v_state2(s0, c_n2)) | node1(s0) | (~node7(s0, s1)) | m_main_v_state1(s1, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s0, c_n1)) | (~m_main_v_state2(s0, c_n2)) | node1(s0) | m_main_v_state1(s1, c_t1) | (~node7(s0, s1)))),
% 3.88/2.75 inference(transitivity,[status(thm)],[223, 221])).
% 3.88/2.75 tff(225,plain,
% 3.88/2.75 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s0, c_n1)) | (~m_main_v_state2(s0, c_n2)) | node1(s0) | (~node7(s0, s1)) | m_main_v_state1(s1, c_t1))),
% 3.88/2.75 inference(quant_inst,[status(thm)],[])).
% 3.88/2.75 tff(226,plain,
% 3.88/2.75 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s0, c_n1)) | (~m_main_v_state2(s0, c_n2)) | node1(s0) | m_main_v_state1(s1, c_t1) | (~node7(s0, s1))),
% 3.88/2.75 inference(modus_ponens,[status(thm)],[225, 224])).
% 3.88/2.75 tff(227,plain,
% 3.88/2.75 (m_main_v_state1(s1, c_t1)),
% 3.88/2.75 inference(unit_resolution,[status(thm)],[226, 3, 63, 220, 210, 199])).
% 3.88/2.75 tff(228,plain,
% 3.88/2.75 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s1, c_n1)) | (~m_main_v_state1(s1, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s1, c_n1)) | (~m_main_v_state1(s1, c_t1)))),
% 3.88/2.75 inference(rewrite,[status(thm)],[])).
% 3.88/2.75 tff(229,plain,
% 3.88/2.75 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s1, c_n1)) | (~m_main_v_state1(s1, c_t1)))),
% 3.88/2.75 inference(quant_inst,[status(thm)],[])).
% 3.88/2.75 tff(230,plain,
% 3.88/2.75 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s1, c_n1)) | (~m_main_v_state1(s1, c_t1))),
% 3.88/2.75 inference(modus_ponens,[status(thm)],[229, 228])).
% 3.88/2.75 tff(231,plain,
% 3.88/2.75 (~m_main_v_state1(s1, c_n1)),
% 3.88/2.75 inference(unit_resolution,[status(thm)],[230, 10, 227])).
% 3.88/2.75 tff(232,plain,
% 3.88/2.75 (^[X: $i] : refl((m_main_v_state1(X, c_n1) | (~node11(X))) <=> (m_main_v_state1(X, c_n1) | (~node11(X))))),
% 3.88/2.75 inference(bind,[status(th)],[])).
% 3.88/2.75 tff(233,plain,
% 3.88/2.75 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X))) <=> ![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))),
% 3.88/2.75 inference(quant_intro,[status(thm)],[232])).
% 3.88/2.75 tff(234,plain,
% 3.88/2.75 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X))) <=> ![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))),
% 3.88/2.75 inference(rewrite,[status(thm)],[])).
% 3.88/2.75 tff(235,axiom,(![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_42')).
% 3.88/2.75 tff(236,plain,
% 3.88/2.75 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))),
% 3.88/2.75 inference(modus_ponens,[status(thm)],[235, 234])).
% 3.88/2.75 tff(237,plain,(
% 3.88/2.75 ![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))),
% 3.88/2.75 inference(skolemize,[status(sab)],[236])).
% 3.88/2.75 tff(238,plain,
% 3.88/2.75 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))),
% 3.88/2.75 inference(modus_ponens,[status(thm)],[237, 233])).
% 3.88/2.75 tff(239,plain,
% 3.88/2.75 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s1, c_n1) | (~node11(s1)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s1, c_n1) | (~node11(s1)))),
% 3.88/2.75 inference(rewrite,[status(thm)],[])).
% 3.88/2.75 tff(240,plain,
% 3.88/2.75 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s1, c_n1) | (~node11(s1)))),
% 3.88/2.75 inference(quant_inst,[status(thm)],[])).
% 3.88/2.75 tff(241,plain,
% 3.88/2.75 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s1, c_n1) | (~node11(s1))),
% 3.88/2.75 inference(modus_ponens,[status(thm)],[240, 239])).
% 3.88/2.75 tff(242,plain,
% 3.88/2.75 (~node11(s1)),
% 3.88/2.75 inference(unit_resolution,[status(thm)],[241, 238, 231])).
% 3.88/2.75 tff(243,plain,
% 3.88/2.75 (^[X: $i] : refl((m_main_v_state2(X, c_n2) | (~node10(X))) <=> (m_main_v_state2(X, c_n2) | (~node10(X))))),
% 3.88/2.75 inference(bind,[status(th)],[])).
% 3.88/2.75 tff(244,plain,
% 3.88/2.75 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X))) <=> ![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))),
% 3.88/2.75 inference(quant_intro,[status(thm)],[243])).
% 3.88/2.75 tff(245,plain,
% 3.88/2.75 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X))) <=> ![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))),
% 3.88/2.75 inference(rewrite,[status(thm)],[])).
% 3.88/2.75 tff(246,axiom,(![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_39')).
% 3.88/2.75 tff(247,plain,
% 3.88/2.75 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))),
% 3.88/2.75 inference(modus_ponens,[status(thm)],[246, 245])).
% 3.88/2.75 tff(248,plain,(
% 3.88/2.75 ![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))),
% 3.88/2.75 inference(skolemize,[status(sab)],[247])).
% 3.88/2.75 tff(249,plain,
% 3.88/2.75 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))),
% 3.88/2.75 inference(modus_ponens,[status(thm)],[248, 244])).
% 3.88/2.75 tff(250,plain,
% 3.88/2.75 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s1, c_n2) | (~node10(s1)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s1, c_n2) | (~node10(s1)))),
% 3.88/2.75 inference(rewrite,[status(thm)],[])).
% 3.88/2.75 tff(251,plain,
% 3.88/2.75 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s1, c_n2) | (~node10(s1)))),
% 3.88/2.75 inference(quant_inst,[status(thm)],[])).
% 3.88/2.75 tff(252,plain,
% 3.88/2.75 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s1, c_n2) | (~node10(s1))),
% 3.88/2.75 inference(modus_ponens,[status(thm)],[251, 250])).
% 3.88/2.75 tff(253,plain,
% 3.88/2.75 (~node10(s1)),
% 3.88/2.75 inference(unit_resolution,[status(thm)],[252, 249, 81])).
% 3.88/2.75 tff(254,plain,
% 3.88/2.75 (^[X: $i] : refl(((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2))) <=> ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2))))),
% 3.88/2.75 inference(bind,[status(th)],[])).
% 3.88/2.75 tff(255,plain,
% 3.88/2.75 (![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2))) <=> ![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))),
% 3.88/2.75 inference(quant_intro,[status(thm)],[254])).
% 3.88/2.75 tff(256,plain,
% 3.88/2.75 (![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2))) <=> ![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))),
% 3.88/2.75 inference(rewrite,[status(thm)],[])).
% 3.88/2.75 tff(257,axiom,(![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_8')).
% 3.88/2.75 tff(258,plain,
% 3.88/2.75 (![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))),
% 3.88/2.75 inference(modus_ponens,[status(thm)],[257, 256])).
% 3.88/2.75 tff(259,plain,(
% 3.88/2.75 ![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))),
% 3.88/2.75 inference(skolemize,[status(sab)],[258])).
% 3.88/2.75 tff(260,plain,
% 3.88/2.75 (![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))),
% 3.88/2.75 inference(modus_ponens,[status(thm)],[259, 255])).
% 3.88/2.75 tff(261,plain,
% 3.88/2.75 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s1, c_t2)) | (~m_main_v_state2(s1, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s1, c_t2)) | (~m_main_v_state2(s1, c_c2)))),
% 3.88/2.75 inference(rewrite,[status(thm)],[])).
% 3.88/2.75 tff(262,plain,
% 3.88/2.75 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s1, c_t2)) | (~m_main_v_state2(s1, c_c2)))),
% 3.88/2.75 inference(quant_inst,[status(thm)],[])).
% 3.88/2.75 tff(263,plain,
% 3.88/2.75 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s1, c_t2)) | (~m_main_v_state2(s1, c_c2))),
% 3.88/2.75 inference(modus_ponens,[status(thm)],[262, 261])).
% 3.88/2.75 tff(264,plain,
% 3.88/2.75 (~m_main_v_state2(s1, c_c2)),
% 3.88/2.75 inference(unit_resolution,[status(thm)],[263, 260, 70])).
% 3.88/2.75 tff(265,plain,
% 3.88/2.75 (^[X: $i] : refl((m_main_v_state2(X, c_n2) | (~node8(X))) <=> (m_main_v_state2(X, c_n2) | (~node8(X))))),
% 3.88/2.75 inference(bind,[status(th)],[])).
% 3.88/2.75 tff(266,plain,
% 3.88/2.75 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X))) <=> ![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))),
% 3.88/2.75 inference(quant_intro,[status(thm)],[265])).
% 3.88/2.75 tff(267,plain,
% 3.88/2.75 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X))) <=> ![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))),
% 3.88/2.75 inference(rewrite,[status(thm)],[])).
% 3.88/2.75 tff(268,axiom,(![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_35')).
% 3.88/2.75 tff(269,plain,
% 3.88/2.75 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))),
% 3.88/2.75 inference(modus_ponens,[status(thm)],[268, 267])).
% 3.88/2.75 tff(270,plain,(
% 3.88/2.75 ![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))),
% 3.88/2.75 inference(skolemize,[status(sab)],[269])).
% 3.88/2.75 tff(271,plain,
% 3.88/2.75 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))),
% 3.88/2.75 inference(modus_ponens,[status(thm)],[270, 266])).
% 3.88/2.75 tff(272,plain,
% 3.88/2.75 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s1, c_n2) | (~node8(s1)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s1, c_n2) | (~node8(s1)))),
% 3.88/2.75 inference(rewrite,[status(thm)],[])).
% 3.88/2.75 tff(273,plain,
% 3.88/2.75 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s1, c_n2) | (~node8(s1)))),
% 3.88/2.75 inference(quant_inst,[status(thm)],[])).
% 3.88/2.75 tff(274,plain,
% 3.88/2.75 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s1, c_n2) | (~node8(s1))),
% 3.88/2.75 inference(modus_ponens,[status(thm)],[273, 272])).
% 3.88/2.75 tff(275,plain,
% 3.88/2.75 (~node8(s1)),
% 3.88/2.75 inference(unit_resolution,[status(thm)],[274, 271, 81])).
% 3.88/2.75 tff(276,plain,
% 3.88/2.75 (succ(s1, s2) <=> succ(s1, s2)),
% 3.88/2.75 inference(rewrite,[status(thm)],[])).
% 3.88/2.75 tff(277,axiom,(succ(s1, s2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound2')).
% 3.88/2.75 tff(278,plain,
% 3.88/2.75 (succ(s1, s2)),
% 3.88/2.75 inference(modus_ponens,[status(thm)],[277, 276])).
% 3.88/2.75 tff(279,plain,
% 3.88/2.75 (((~![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))),
% 3.88/2.75 inference(rewrite,[status(thm)],[])).
% 3.88/2.75 tff(280,plain,
% 3.88/2.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s1, s2)) | trans(s1, s2))),
% 3.88/2.75 inference(quant_inst,[status(thm)],[])).
% 3.88/2.75 tff(281,plain,
% 3.88/2.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s1, s2)) | trans(s1, s2)),
% 3.88/2.75 inference(modus_ponens,[status(thm)],[280, 279])).
% 3.88/2.75 tff(282,plain,
% 3.88/2.75 (trans(s1, s2)),
% 3.88/2.75 inference(unit_resolution,[status(thm)],[281, 278, 32])).
% 3.88/2.75 tff(283,plain,
% 3.88/2.75 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s1, s2)) | node14(s1, s2))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s1, s2)) | node14(s1, s2))),
% 3.88/2.75 inference(rewrite,[status(thm)],[])).
% 3.88/2.75 tff(284,plain,
% 3.88/2.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s1, s2)) | node14(s1, s2))),
% 3.88/2.75 inference(quant_inst,[status(thm)],[])).
% 3.88/2.75 tff(285,plain,
% 3.88/2.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s1, s2)) | node14(s1, s2)),
% 3.88/2.75 inference(modus_ponens,[status(thm)],[284, 283])).
% 3.88/2.75 tff(286,plain,
% 3.88/2.75 (node14(s1, s2)),
% 3.88/2.75 inference(unit_resolution,[status(thm)],[285, 46, 282])).
% 3.88/2.75 tff(287,plain,
% 3.88/2.75 (^[Y: $i, X: $i] : refl((m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y))) <=> (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y))))),
% 3.88/2.75 inference(bind,[status(th)],[])).
% 3.88/2.75 tff(288,plain,
% 3.88/2.75 (![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y))) <=> ![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))),
% 3.88/2.75 inference(quant_intro,[status(thm)],[287])).
% 3.88/2.75 tff(289,plain,
% 3.88/2.75 (![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y))) <=> ![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))),
% 3.88/2.75 inference(rewrite,[status(thm)],[])).
% 3.88/2.75 tff(290,plain,
% 3.88/2.75 (^[Y: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((node8(X) | node9(X)) | node10(X)) <=> (node9(X) | node8(X) | node10(X))), ((((node8(X) | node9(X)) | node10(X)) | node11(X)) <=> ((node9(X) | node8(X) | node10(X)) | node11(X)))), rewrite(((node9(X) | node8(X) | node10(X)) | node11(X)) <=> (node9(X) | node8(X) | node10(X) | node11(X))), ((((node8(X) | node9(X)) | node10(X)) | node11(X)) <=> (node9(X) | node8(X) | node10(X) | node11(X)))), (((((node8(X) | node9(X)) | node10(X)) | node11(X)) | node12(X)) <=> ((node9(X) | node8(X) | node10(X) | node11(X)) | node12(X)))), rewrite(((node9(X) | node8(X) | node10(X) | node11(X)) | node12(X)) <=> (node9(X) | node8(X) | node10(X) | node11(X) | node12(X))), (((((node8(X) | node9(X)) | node10(X)) | node11(X)) | node12(X)) <=> (node9(X) | node8(X) | node10(X) | node11(X) | node12(X)))), ((((((node8(X) | node9(X)) | node10(X)) | node11(X)) | node12(X)) | m_main_v_state2(X, c_c2)) <=> ((node9(X) | node8(X) | node10(X) | node11(X) | node12(X)) | m_main_v_state2(X, c_c2)))), rewrite(((node9(X) | node8(X) | node10(X) | node11(X) | node12(X)) | m_main_v_state2(X, c_c2)) <=> (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X))), ((((((node8(X) | node9(X)) | node10(X)) | node11(X)) | node12(X)) | m_main_v_state2(X, c_c2)) <=> (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X)))), (((((((node8(X) | node9(X)) | node10(X)) | node11(X)) | node12(X)) | m_main_v_state2(X, c_c2)) | node13(X, Y)) <=> ((m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X)) | node13(X, Y)))), rewrite(((m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X)) | node13(X, Y)) <=> (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y))), (((((((node8(X) | node9(X)) | node10(X)) | node11(X)) | node12(X)) | m_main_v_state2(X, c_c2)) | node13(X, Y)) <=> (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y)))), ((((((((node8(X) | node9(X)) | node10(X)) | node11(X)) | node12(X)) | m_main_v_state2(X, c_c2)) | node13(X, Y)) | (~node14(X, Y))) <=> ((m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y)) | (~node14(X, Y))))), rewrite(((m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y)) | (~node14(X, Y))) <=> (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))), ((((((((node8(X) | node9(X)) | node10(X)) | node11(X)) | node12(X)) | m_main_v_state2(X, c_c2)) | node13(X, Y)) | (~node14(X, Y))) <=> (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))))),
% 3.88/2.75 inference(bind,[status(th)],[])).
% 3.88/2.75 tff(291,plain,
% 3.88/2.75 (![Y: $i, X: $i] : (((((((node8(X) | node9(X)) | node10(X)) | node11(X)) | node12(X)) | m_main_v_state2(X, c_c2)) | node13(X, Y)) | (~node14(X, Y))) <=> ![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))),
% 3.88/2.75 inference(quant_intro,[status(thm)],[290])).
% 3.88/2.75 tff(292,axiom,(![Y: $i, X: $i] : (((((((node8(X) | node9(X)) | node10(X)) | node11(X)) | node12(X)) | m_main_v_state2(X, c_c2)) | node13(X, Y)) | (~node14(X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_54')).
% 3.88/2.75 tff(293,plain,
% 3.88/2.75 (![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))),
% 3.88/2.75 inference(modus_ponens,[status(thm)],[292, 291])).
% 3.88/2.75 tff(294,plain,
% 3.88/2.75 (![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))),
% 3.88/2.75 inference(modus_ponens,[status(thm)],[293, 289])).
% 3.88/2.75 tff(295,plain,(
% 3.88/2.75 ![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))),
% 3.88/2.75 inference(skolemize,[status(sab)],[294])).
% 3.88/2.75 tff(296,plain,
% 3.88/2.75 (![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))),
% 3.88/2.75 inference(modus_ponens,[status(thm)],[295, 288])).
% 3.88/2.75 tff(297,plain,
% 3.88/2.75 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s1, c_c2) | node9(s1) | node8(s1) | node10(s1) | node11(s1) | node12(s1) | node13(s1, s2) | (~node14(s1, s2)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s1, c_c2) | node9(s1) | node8(s1) | node10(s1) | node11(s1) | node12(s1) | node13(s1, s2) | (~node14(s1, s2)))),
% 3.88/2.75 inference(rewrite,[status(thm)],[])).
% 3.88/2.75 tff(298,plain,
% 3.88/2.75 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s1, c_c2) | node9(s1) | node8(s1) | node10(s1) | node11(s1) | node12(s1) | node13(s1, s2) | (~node14(s1, s2)))),
% 3.88/2.75 inference(quant_inst,[status(thm)],[])).
% 3.88/2.75 tff(299,plain,
% 3.88/2.75 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s1, c_c2) | node9(s1) | node8(s1) | node10(s1) | node11(s1) | node12(s1) | node13(s1, s2) | (~node14(s1, s2))),
% 3.88/2.75 inference(modus_ponens,[status(thm)],[298, 297])).
% 3.88/2.75 tff(300,plain,
% 3.88/2.75 (m_main_v_state2(s1, c_c2) | node9(s1) | node8(s1) | node10(s1) | node11(s1) | node12(s1) | node13(s1, s2)),
% 3.88/2.75 inference(unit_resolution,[status(thm)],[299, 296, 286])).
% 3.88/2.75 tff(301,plain,
% 3.88/2.75 (node13(s1, s2)),
% 3.88/2.75 inference(unit_resolution,[status(thm)],[300, 275, 264, 253, 242, 188, 92])).
% 3.88/2.75 tff(302,plain,
% 3.88/2.75 (^[V: $i, Y: $i, X: $i] : refl(((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V))) <=> ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V))))),
% 3.88/2.76 inference(bind,[status(th)],[])).
% 3.88/2.76 tff(303,plain,
% 3.88/2.76 (![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V))) <=> ![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))),
% 3.88/2.76 inference(quant_intro,[status(thm)],[302])).
% 3.88/2.76 tff(304,plain,
% 3.88/2.76 (![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V))) <=> ![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))),
% 3.88/2.76 inference(rewrite,[status(thm)],[])).
% 3.88/2.76 tff(305,plain,
% 3.88/2.76 (^[V: $i, Y: $i, X: $i] : rewrite((((~m_main_v_state2(Y, V)) | m_main_v_state2(X, V)) | (~node13(X, Y))) <=> ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V))))),
% 3.88/2.76 inference(bind,[status(th)],[])).
% 3.88/2.76 tff(306,plain,
% 3.88/2.76 (![V: $i, Y: $i, X: $i] : (((~m_main_v_state2(Y, V)) | m_main_v_state2(X, V)) | (~node13(X, Y))) <=> ![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))),
% 3.88/2.76 inference(quant_intro,[status(thm)],[305])).
% 3.88/2.76 tff(307,axiom,(![V: $i, Y: $i, X: $i] : (((~m_main_v_state2(Y, V)) | m_main_v_state2(X, V)) | (~node13(X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_47')).
% 3.88/2.76 tff(308,plain,
% 3.88/2.76 (![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))),
% 3.88/2.76 inference(modus_ponens,[status(thm)],[307, 306])).
% 3.88/2.76 tff(309,plain,
% 3.88/2.76 (![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))),
% 3.88/2.76 inference(modus_ponens,[status(thm)],[308, 304])).
% 3.88/2.76 tff(310,plain,(
% 3.88/2.76 ![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))),
% 3.88/2.76 inference(skolemize,[status(sab)],[309])).
% 3.88/2.76 tff(311,plain,
% 3.88/2.76 (![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))),
% 3.88/2.76 inference(modus_ponens,[status(thm)],[310, 303])).
% 3.88/2.76 tff(312,plain,
% 3.88/2.76 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s1, c_n2) | (~m_main_v_state2(s2, c_n2)) | (~node13(s1, s2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s1, c_n2) | (~m_main_v_state2(s2, c_n2)) | (~node13(s1, s2)))),
% 3.88/2.76 inference(rewrite,[status(thm)],[])).
% 3.88/2.76 tff(313,plain,
% 3.88/2.76 (((~node13(s1, s2)) | m_main_v_state2(s1, c_n2) | (~m_main_v_state2(s2, c_n2))) <=> (m_main_v_state2(s1, c_n2) | (~m_main_v_state2(s2, c_n2)) | (~node13(s1, s2)))),
% 3.88/2.76 inference(rewrite,[status(thm)],[])).
% 3.88/2.76 tff(314,plain,
% 3.88/2.76 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s1, s2)) | m_main_v_state2(s1, c_n2) | (~m_main_v_state2(s2, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s1, c_n2) | (~m_main_v_state2(s2, c_n2)) | (~node13(s1, s2))))),
% 3.88/2.76 inference(monotonicity,[status(thm)],[313])).
% 3.88/2.76 tff(315,plain,
% 3.88/2.76 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s1, s2)) | m_main_v_state2(s1, c_n2) | (~m_main_v_state2(s2, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s1, c_n2) | (~m_main_v_state2(s2, c_n2)) | (~node13(s1, s2)))),
% 3.88/2.76 inference(transitivity,[status(thm)],[314, 312])).
% 3.88/2.76 tff(316,plain,
% 3.88/2.76 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s1, s2)) | m_main_v_state2(s1, c_n2) | (~m_main_v_state2(s2, c_n2)))),
% 3.88/2.76 inference(quant_inst,[status(thm)],[])).
% 3.88/2.76 tff(317,plain,
% 3.88/2.76 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s1, c_n2) | (~m_main_v_state2(s2, c_n2)) | (~node13(s1, s2))),
% 3.88/2.76 inference(modus_ponens,[status(thm)],[316, 315])).
% 3.88/2.76 tff(318,plain,
% 3.88/2.76 (~m_main_v_state2(s2, c_n2)),
% 3.88/2.76 inference(unit_resolution,[status(thm)],[317, 311, 81, 301])).
% 3.88/2.76 tff(319,plain,
% 3.88/2.76 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s2, c_n2) | (~node9(s2)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s2, c_n2) | (~node9(s2)))),
% 3.88/2.76 inference(rewrite,[status(thm)],[])).
% 3.88/2.76 tff(320,plain,
% 3.88/2.76 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s2, c_n2) | (~node9(s2)))),
% 3.88/2.76 inference(quant_inst,[status(thm)],[])).
% 3.88/2.76 tff(321,plain,
% 3.88/2.76 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s2, c_n2) | (~node9(s2))),
% 3.88/2.76 inference(modus_ponens,[status(thm)],[320, 319])).
% 3.88/2.76 tff(322,plain,
% 3.88/2.76 (~node9(s2)),
% 3.88/2.76 inference(unit_resolution,[status(thm)],[321, 88, 318])).
% 3.88/2.76 tff(323,plain,
% 3.88/2.76 (^[X: $i] : refl((m_main_v_state2(X, c_n2) | (~node16(X))) <=> (m_main_v_state2(X, c_n2) | (~node16(X))))),
% 3.88/2.76 inference(bind,[status(th)],[])).
% 3.88/2.76 tff(324,plain,
% 3.88/2.76 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node16(X))) <=> ![X: $i] : (m_main_v_state2(X, c_n2) | (~node16(X)))),
% 3.88/2.76 inference(quant_intro,[status(thm)],[323])).
% 3.88/2.76 tff(325,plain,
% 3.88/2.76 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node16(X))) <=> ![X: $i] : (m_main_v_state2(X, c_n2) | (~node16(X)))),
% 3.88/2.76 inference(rewrite,[status(thm)],[])).
% 3.88/2.76 tff(326,axiom,(![X: $i] : (m_main_v_state2(X, c_n2) | (~node16(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_58')).
% 3.88/2.76 tff(327,plain,
% 3.88/2.76 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node16(X)))),
% 3.88/2.76 inference(modus_ponens,[status(thm)],[326, 325])).
% 3.88/2.76 tff(328,plain,(
% 3.88/2.76 ![X: $i] : (m_main_v_state2(X, c_n2) | (~node16(X)))),
% 3.88/2.76 inference(skolemize,[status(sab)],[327])).
% 3.88/2.76 tff(329,plain,
% 3.88/2.76 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node16(X)))),
% 3.88/2.76 inference(modus_ponens,[status(thm)],[328, 324])).
% 3.88/2.76 tff(330,plain,
% 3.88/2.76 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node16(X)))) | (m_main_v_state2(s1, c_n2) | (~node16(s1)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node16(X)))) | m_main_v_state2(s1, c_n2) | (~node16(s1)))),
% 3.88/2.76 inference(rewrite,[status(thm)],[])).
% 3.88/2.76 tff(331,plain,
% 3.88/2.76 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node16(X)))) | (m_main_v_state2(s1, c_n2) | (~node16(s1)))),
% 3.88/2.76 inference(quant_inst,[status(thm)],[])).
% 3.88/2.76 tff(332,plain,
% 3.88/2.76 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node16(X)))) | m_main_v_state2(s1, c_n2) | (~node16(s1))),
% 3.88/2.76 inference(modus_ponens,[status(thm)],[331, 330])).
% 3.88/2.76 tff(333,plain,
% 3.88/2.76 (~node16(s1)),
% 3.88/2.76 inference(unit_resolution,[status(thm)],[332, 329, 81])).
% 3.88/2.76 tff(334,plain,
% 3.88/2.76 (^[X: $i] : refl((m_main_v_state1(X, c_n1) | (~node15(X))) <=> (m_main_v_state1(X, c_n1) | (~node15(X))))),
% 3.88/2.76 inference(bind,[status(th)],[])).
% 3.88/2.76 tff(335,plain,
% 3.88/2.76 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node15(X))) <=> ![X: $i] : (m_main_v_state1(X, c_n1) | (~node15(X)))),
% 3.88/2.76 inference(quant_intro,[status(thm)],[334])).
% 3.88/2.76 tff(336,plain,
% 3.88/2.76 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node15(X))) <=> ![X: $i] : (m_main_v_state1(X, c_n1) | (~node15(X)))),
% 3.88/2.76 inference(rewrite,[status(thm)],[])).
% 3.88/2.76 tff(337,axiom,(![X: $i] : (m_main_v_state1(X, c_n1) | (~node15(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_56')).
% 3.88/2.76 tff(338,plain,
% 3.88/2.76 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node15(X)))),
% 3.88/2.76 inference(modus_ponens,[status(thm)],[337, 336])).
% 3.88/2.76 tff(339,plain,(
% 3.88/2.76 ![X: $i] : (m_main_v_state1(X, c_n1) | (~node15(X)))),
% 3.88/2.76 inference(skolemize,[status(sab)],[338])).
% 3.88/2.76 tff(340,plain,
% 3.88/2.76 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node15(X)))),
% 3.88/2.76 inference(modus_ponens,[status(thm)],[339, 335])).
% 3.88/2.76 tff(341,plain,
% 3.88/2.76 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node15(X)))) | (m_main_v_state1(s1, c_n1) | (~node15(s1)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node15(X)))) | m_main_v_state1(s1, c_n1) | (~node15(s1)))),
% 3.88/2.76 inference(rewrite,[status(thm)],[])).
% 3.88/2.76 tff(342,plain,
% 3.88/2.76 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node15(X)))) | (m_main_v_state1(s1, c_n1) | (~node15(s1)))),
% 3.88/2.76 inference(quant_inst,[status(thm)],[])).
% 3.88/2.76 tff(343,plain,
% 3.88/2.76 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node15(X)))) | m_main_v_state1(s1, c_n1) | (~node15(s1))),
% 3.88/2.76 inference(modus_ponens,[status(thm)],[342, 341])).
% 3.88/2.76 tff(344,plain,
% 3.88/2.76 (~node15(s1)),
% 3.88/2.76 inference(unit_resolution,[status(thm)],[343, 340, 231])).
% 3.88/2.76 tff(345,plain,
% 3.88/2.76 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s1, s2)) | node18(s1, s2))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s1, s2)) | node18(s1, s2))),
% 3.88/2.76 inference(rewrite,[status(thm)],[])).
% 3.88/2.76 tff(346,plain,
% 3.88/2.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s1, s2)) | node18(s1, s2))),
% 3.88/2.76 inference(quant_inst,[status(thm)],[])).
% 3.88/2.76 tff(347,plain,
% 3.88/2.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s1, s2)) | node18(s1, s2)),
% 3.88/2.76 inference(modus_ponens,[status(thm)],[346, 345])).
% 3.88/2.76 tff(348,plain,
% 3.88/2.76 (node18(s1, s2)),
% 3.88/2.76 inference(unit_resolution,[status(thm)],[347, 125, 282])).
% 3.88/2.76 tff(349,plain,
% 3.88/2.76 (((~![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))) | (node15(s1) | node16(s1) | node17(s1, s2) | (~node18(s1, s2)))) <=> ((~![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))) | node15(s1) | node16(s1) | node17(s1, s2) | (~node18(s1, s2)))),
% 3.88/2.76 inference(rewrite,[status(thm)],[])).
% 3.88/2.76 tff(350,plain,
% 3.88/2.76 ((~![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))) | (node15(s1) | node16(s1) | node17(s1, s2) | (~node18(s1, s2)))),
% 3.88/2.76 inference(quant_inst,[status(thm)],[])).
% 3.88/2.76 tff(351,plain,
% 3.88/2.76 ((~![Y: $i, X: $i] : (node15(X) | node16(X) | node17(X, Y) | (~node18(X, Y)))) | node15(s1) | node16(s1) | node17(s1, s2) | (~node18(s1, s2))),
% 3.88/2.76 inference(modus_ponens,[status(thm)],[350, 349])).
% 3.88/2.76 tff(352,plain,
% 3.88/2.76 (node15(s1) | node16(s1) | node17(s1, s2)),
% 3.88/2.76 inference(unit_resolution,[status(thm)],[351, 139, 348])).
% 3.88/2.76 tff(353,plain,
% 3.88/2.76 (node17(s1, s2)),
% 3.88/2.76 inference(unit_resolution,[status(thm)],[352, 344, 333])).
% 3.88/2.76 tff(354,plain,
% 3.88/2.76 (((~![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V)))) | (m_main_v_turn(s1, c_2) | (~m_main_v_turn(s2, c_2)) | (~node17(s1, s2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V)))) | m_main_v_turn(s1, c_2) | (~m_main_v_turn(s2, c_2)) | (~node17(s1, s2)))),
% 3.88/2.76 inference(rewrite,[status(thm)],[])).
% 3.88/2.76 tff(355,plain,
% 3.88/2.76 (((~node17(s1, s2)) | m_main_v_turn(s1, c_2) | (~m_main_v_turn(s2, c_2))) <=> (m_main_v_turn(s1, c_2) | (~m_main_v_turn(s2, c_2)) | (~node17(s1, s2)))),
% 3.88/2.76 inference(rewrite,[status(thm)],[])).
% 3.88/2.76 tff(356,plain,
% 3.88/2.76 (((~![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V)))) | ((~node17(s1, s2)) | m_main_v_turn(s1, c_2) | (~m_main_v_turn(s2, c_2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V)))) | (m_main_v_turn(s1, c_2) | (~m_main_v_turn(s2, c_2)) | (~node17(s1, s2))))),
% 3.88/2.76 inference(monotonicity,[status(thm)],[355])).
% 3.88/2.76 tff(357,plain,
% 3.88/2.76 (((~![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V)))) | ((~node17(s1, s2)) | m_main_v_turn(s1, c_2) | (~m_main_v_turn(s2, c_2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V)))) | m_main_v_turn(s1, c_2) | (~m_main_v_turn(s2, c_2)) | (~node17(s1, s2)))),
% 3.88/2.76 inference(transitivity,[status(thm)],[356, 354])).
% 3.88/2.76 tff(358,plain,
% 3.88/2.76 ((~![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V)))) | ((~node17(s1, s2)) | m_main_v_turn(s1, c_2) | (~m_main_v_turn(s2, c_2)))),
% 3.88/2.76 inference(quant_inst,[status(thm)],[])).
% 3.88/2.76 tff(359,plain,
% 3.88/2.76 ((~![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | m_main_v_turn(X, V) | (~m_main_v_turn(Y, V)))) | m_main_v_turn(s1, c_2) | (~m_main_v_turn(s2, c_2)) | (~node17(s1, s2))),
% 3.88/2.76 inference(modus_ponens,[status(thm)],[358, 357])).
% 3.88/2.76 tff(360,plain,
% 3.88/2.76 (~m_main_v_turn(s2, c_2)),
% 3.88/2.76 inference(unit_resolution,[status(thm)],[359, 170, 353, 177])).
% 3.88/2.76 tff(361,plain,
% 3.88/2.76 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s2, c_2) | (~node12(s2)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s2, c_2) | (~node12(s2)))),
% 3.92/2.76 inference(rewrite,[status(thm)],[])).
% 3.92/2.76 tff(362,plain,
% 3.92/2.76 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s2, c_2) | (~node12(s2)))),
% 3.92/2.76 inference(quant_inst,[status(thm)],[])).
% 3.92/2.76 tff(363,plain,
% 3.92/2.76 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s2, c_2) | (~node12(s2))),
% 3.92/2.76 inference(modus_ponens,[status(thm)],[362, 361])).
% 3.92/2.76 tff(364,plain,
% 3.92/2.76 (~node12(s2)),
% 3.92/2.76 inference(unit_resolution,[status(thm)],[363, 184, 360])).
% 3.92/2.76 tff(365,plain,
% 3.92/2.76 (^[V: $i, Y: $i, X: $i] : refl(((~node17(X, Y)) | (~m_main_v_turn(X, V)) | m_main_v_turn(Y, V)) <=> ((~node17(X, Y)) | (~m_main_v_turn(X, V)) | m_main_v_turn(Y, V)))),
% 3.92/2.76 inference(bind,[status(th)],[])).
% 3.92/2.76 tff(366,plain,
% 3.92/2.76 (![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | (~m_main_v_turn(X, V)) | m_main_v_turn(Y, V)) <=> ![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | (~m_main_v_turn(X, V)) | m_main_v_turn(Y, V))),
% 3.92/2.76 inference(quant_intro,[status(thm)],[365])).
% 3.92/2.76 tff(367,plain,
% 3.92/2.76 (![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | (~m_main_v_turn(X, V)) | m_main_v_turn(Y, V)) <=> ![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | (~m_main_v_turn(X, V)) | m_main_v_turn(Y, V))),
% 3.92/2.76 inference(rewrite,[status(thm)],[])).
% 3.92/2.76 tff(368,plain,
% 3.92/2.76 (^[V: $i, Y: $i, X: $i] : trans(monotonicity(rewrite((m_main_v_turn(Y, V) | (~m_main_v_turn(X, V))) <=> ((~m_main_v_turn(X, V)) | m_main_v_turn(Y, V))), (((m_main_v_turn(Y, V) | (~m_main_v_turn(X, V))) | (~node17(X, Y))) <=> (((~m_main_v_turn(X, V)) | m_main_v_turn(Y, V)) | (~node17(X, Y))))), rewrite((((~m_main_v_turn(X, V)) | m_main_v_turn(Y, V)) | (~node17(X, Y))) <=> ((~node17(X, Y)) | (~m_main_v_turn(X, V)) | m_main_v_turn(Y, V))), (((m_main_v_turn(Y, V) | (~m_main_v_turn(X, V))) | (~node17(X, Y))) <=> ((~node17(X, Y)) | (~m_main_v_turn(X, V)) | m_main_v_turn(Y, V))))),
% 3.92/2.76 inference(bind,[status(th)],[])).
% 3.92/2.76 tff(369,plain,
% 3.92/2.76 (![V: $i, Y: $i, X: $i] : ((m_main_v_turn(Y, V) | (~m_main_v_turn(X, V))) | (~node17(X, Y))) <=> ![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | (~m_main_v_turn(X, V)) | m_main_v_turn(Y, V))),
% 3.92/2.76 inference(quant_intro,[status(thm)],[368])).
% 3.92/2.76 tff(370,axiom,(![V: $i, Y: $i, X: $i] : ((m_main_v_turn(Y, V) | (~m_main_v_turn(X, V))) | (~node17(X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_60')).
% 3.92/2.76 tff(371,plain,
% 3.92/2.76 (![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | (~m_main_v_turn(X, V)) | m_main_v_turn(Y, V))),
% 3.92/2.76 inference(modus_ponens,[status(thm)],[370, 369])).
% 3.92/2.76 tff(372,plain,
% 3.92/2.76 (![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | (~m_main_v_turn(X, V)) | m_main_v_turn(Y, V))),
% 3.92/2.76 inference(modus_ponens,[status(thm)],[371, 367])).
% 3.92/2.76 tff(373,plain,(
% 3.92/2.76 ![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | (~m_main_v_turn(X, V)) | m_main_v_turn(Y, V))),
% 3.92/2.76 inference(skolemize,[status(sab)],[372])).
% 3.92/2.76 tff(374,plain,
% 3.92/2.76 (![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | (~m_main_v_turn(X, V)) | m_main_v_turn(Y, V))),
% 3.92/2.76 inference(modus_ponens,[status(thm)],[373, 366])).
% 3.92/2.76 tff(375,plain,
% 3.92/2.76 (((~![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | (~m_main_v_turn(X, V)) | m_main_v_turn(Y, V))) | ((~m_main_v_turn(s0, c_1)) | m_main_v_turn(s1, c_1) | (~node17(s0, s1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | (~m_main_v_turn(X, V)) | m_main_v_turn(Y, V))) | (~m_main_v_turn(s0, c_1)) | m_main_v_turn(s1, c_1) | (~node17(s0, s1)))),
% 3.92/2.76 inference(rewrite,[status(thm)],[])).
% 3.92/2.76 tff(376,plain,
% 3.92/2.76 (((~node17(s0, s1)) | (~m_main_v_turn(s0, c_1)) | m_main_v_turn(s1, c_1)) <=> ((~m_main_v_turn(s0, c_1)) | m_main_v_turn(s1, c_1) | (~node17(s0, s1)))),
% 3.92/2.76 inference(rewrite,[status(thm)],[])).
% 3.92/2.76 tff(377,plain,
% 3.92/2.76 (((~![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | (~m_main_v_turn(X, V)) | m_main_v_turn(Y, V))) | ((~node17(s0, s1)) | (~m_main_v_turn(s0, c_1)) | m_main_v_turn(s1, c_1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | (~m_main_v_turn(X, V)) | m_main_v_turn(Y, V))) | ((~m_main_v_turn(s0, c_1)) | m_main_v_turn(s1, c_1) | (~node17(s0, s1))))),
% 3.92/2.76 inference(monotonicity,[status(thm)],[376])).
% 3.92/2.76 tff(378,plain,
% 3.92/2.76 (((~![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | (~m_main_v_turn(X, V)) | m_main_v_turn(Y, V))) | ((~node17(s0, s1)) | (~m_main_v_turn(s0, c_1)) | m_main_v_turn(s1, c_1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | (~m_main_v_turn(X, V)) | m_main_v_turn(Y, V))) | (~m_main_v_turn(s0, c_1)) | m_main_v_turn(s1, c_1) | (~node17(s0, s1)))),
% 3.92/2.76 inference(transitivity,[status(thm)],[377, 375])).
% 3.92/2.76 tff(379,plain,
% 3.92/2.76 ((~![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | (~m_main_v_turn(X, V)) | m_main_v_turn(Y, V))) | ((~node17(s0, s1)) | (~m_main_v_turn(s0, c_1)) | m_main_v_turn(s1, c_1))),
% 3.92/2.76 inference(quant_inst,[status(thm)],[])).
% 3.92/2.76 tff(380,plain,
% 3.92/2.76 ((~![V: $i, Y: $i, X: $i] : ((~node17(X, Y)) | (~m_main_v_turn(X, V)) | m_main_v_turn(Y, V))) | (~m_main_v_turn(s0, c_1)) | m_main_v_turn(s1, c_1) | (~node17(s0, s1))),
% 3.92/2.76 inference(modus_ponens,[status(thm)],[379, 378])).
% 3.92/2.76 tff(381,plain,
% 3.92/2.76 (m_main_v_turn(s1, c_1)),
% 3.92/2.76 inference(unit_resolution,[status(thm)],[380, 149, 374, 146])).
% 3.92/2.76 tff(382,plain,
% 3.92/2.76 (^[X: $i] : refl((m_main_v_state2(X, c_n2) | (~node4(X))) <=> (m_main_v_state2(X, c_n2) | (~node4(X))))),
% 3.92/2.76 inference(bind,[status(th)],[])).
% 3.92/2.76 tff(383,plain,
% 3.92/2.76 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X))) <=> ![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))),
% 3.92/2.76 inference(quant_intro,[status(thm)],[382])).
% 3.92/2.76 tff(384,plain,
% 3.92/2.76 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X))) <=> ![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))),
% 3.92/2.76 inference(rewrite,[status(thm)],[])).
% 3.92/2.76 tff(385,axiom,(![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_21')).
% 3.92/2.76 tff(386,plain,
% 3.92/2.76 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))),
% 3.92/2.76 inference(modus_ponens,[status(thm)],[385, 384])).
% 3.92/2.76 tff(387,plain,(
% 3.92/2.76 ![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))),
% 3.92/2.76 inference(skolemize,[status(sab)],[386])).
% 3.92/2.76 tff(388,plain,
% 3.92/2.76 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))),
% 3.92/2.76 inference(modus_ponens,[status(thm)],[387, 383])).
% 3.92/2.76 tff(389,plain,
% 3.92/2.76 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s1, c_n2) | (~node4(s1)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s1, c_n2) | (~node4(s1)))),
% 3.92/2.76 inference(rewrite,[status(thm)],[])).
% 3.92/2.76 tff(390,plain,
% 3.92/2.76 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s1, c_n2) | (~node4(s1)))),
% 3.92/2.76 inference(quant_inst,[status(thm)],[])).
% 3.92/2.76 tff(391,plain,
% 3.92/2.76 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s1, c_n2) | (~node4(s1))),
% 3.92/2.76 inference(modus_ponens,[status(thm)],[390, 389])).
% 3.92/2.76 tff(392,plain,
% 3.92/2.76 (~node4(s1)),
% 3.92/2.76 inference(unit_resolution,[status(thm)],[391, 388, 81])).
% 3.92/2.76 tff(393,plain,
% 3.92/2.76 (^[X: $i] : refl((m_main_v_state2(X, c_c2) | (~node3(X))) <=> (m_main_v_state2(X, c_c2) | (~node3(X))))),
% 3.92/2.76 inference(bind,[status(th)],[])).
% 3.92/2.76 tff(394,plain,
% 3.92/2.76 (![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X))) <=> ![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))),
% 3.92/2.76 inference(quant_intro,[status(thm)],[393])).
% 3.92/2.76 tff(395,plain,
% 3.92/2.76 (![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X))) <=> ![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))),
% 3.92/2.76 inference(rewrite,[status(thm)],[])).
% 3.92/2.76 tff(396,axiom,(![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_19')).
% 3.92/2.76 tff(397,plain,
% 3.92/2.76 (![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))),
% 3.92/2.76 inference(modus_ponens,[status(thm)],[396, 395])).
% 3.92/2.76 tff(398,plain,(
% 3.92/2.76 ![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))),
% 3.92/2.76 inference(skolemize,[status(sab)],[397])).
% 3.92/2.76 tff(399,plain,
% 3.92/2.76 (![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))),
% 3.92/2.76 inference(modus_ponens,[status(thm)],[398, 394])).
% 3.92/2.76 tff(400,plain,
% 3.92/2.76 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s1, c_c2) | (~node3(s1)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s1, c_c2) | (~node3(s1)))),
% 3.92/2.76 inference(rewrite,[status(thm)],[])).
% 3.92/2.76 tff(401,plain,
% 3.92/2.76 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s1, c_c2) | (~node3(s1)))),
% 3.92/2.76 inference(quant_inst,[status(thm)],[])).
% 3.92/2.76 tff(402,plain,
% 3.92/2.76 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s1, c_c2) | (~node3(s1))),
% 3.92/2.76 inference(modus_ponens,[status(thm)],[401, 400])).
% 3.92/2.76 tff(403,plain,
% 3.92/2.76 (~node3(s1)),
% 3.92/2.76 inference(unit_resolution,[status(thm)],[402, 399, 264])).
% 3.92/2.76 tff(404,plain,
% 3.92/2.76 (^[X: $i] : refl((m_main_v_state2(X, c_n2) | (~node2(X))) <=> (m_main_v_state2(X, c_n2) | (~node2(X))))),
% 3.92/2.76 inference(bind,[status(th)],[])).
% 3.92/2.76 tff(405,plain,
% 3.92/2.76 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X))) <=> ![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))),
% 3.92/2.76 inference(quant_intro,[status(thm)],[404])).
% 3.92/2.76 tff(406,plain,
% 3.92/2.76 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X))) <=> ![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))),
% 3.92/2.76 inference(rewrite,[status(thm)],[])).
% 3.92/2.76 tff(407,axiom,(![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_17')).
% 3.92/2.76 tff(408,plain,
% 3.92/2.76 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))),
% 3.92/2.76 inference(modus_ponens,[status(thm)],[407, 406])).
% 3.92/2.76 tff(409,plain,(
% 3.92/2.76 ![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))),
% 3.92/2.76 inference(skolemize,[status(sab)],[408])).
% 3.92/2.76 tff(410,plain,
% 3.92/2.76 (![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))),
% 3.92/2.76 inference(modus_ponens,[status(thm)],[409, 405])).
% 3.92/2.76 tff(411,plain,
% 3.92/2.76 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s1, c_n2) | (~node2(s1)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s1, c_n2) | (~node2(s1)))),
% 3.92/2.76 inference(rewrite,[status(thm)],[])).
% 3.92/2.76 tff(412,plain,
% 3.92/2.76 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s1, c_n2) | (~node2(s1)))),
% 3.92/2.76 inference(quant_inst,[status(thm)],[])).
% 3.92/2.76 tff(413,plain,
% 3.92/2.76 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s1, c_n2) | (~node2(s1))),
% 3.92/2.76 inference(modus_ponens,[status(thm)],[412, 411])).
% 3.92/2.76 tff(414,plain,
% 3.92/2.76 (~node2(s1)),
% 3.92/2.76 inference(unit_resolution,[status(thm)],[413, 410, 81])).
% 3.92/2.76 tff(415,plain,
% 3.92/2.76 (^[X: $i] : refl((m_main_v_state1(X, c_n1) | (~node1(X))) <=> (m_main_v_state1(X, c_n1) | (~node1(X))))),
% 3.92/2.76 inference(bind,[status(th)],[])).
% 3.92/2.76 tff(416,plain,
% 3.92/2.76 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X))) <=> ![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))),
% 3.92/2.76 inference(quant_intro,[status(thm)],[415])).
% 3.92/2.76 tff(417,plain,
% 3.92/2.76 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X))) <=> ![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))),
% 3.92/2.76 inference(rewrite,[status(thm)],[])).
% 3.92/2.76 tff(418,axiom,(![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_14')).
% 3.92/2.76 tff(419,plain,
% 3.92/2.76 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))),
% 3.92/2.76 inference(modus_ponens,[status(thm)],[418, 417])).
% 3.92/2.76 tff(420,plain,(
% 3.92/2.76 ![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))),
% 3.92/2.76 inference(skolemize,[status(sab)],[419])).
% 3.92/2.76 tff(421,plain,
% 3.92/2.76 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))),
% 3.92/2.76 inference(modus_ponens,[status(thm)],[420, 416])).
% 3.92/2.76 tff(422,plain,
% 3.92/2.76 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s1, c_n1) | (~node1(s1)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s1, c_n1) | (~node1(s1)))),
% 3.92/2.76 inference(rewrite,[status(thm)],[])).
% 3.92/2.76 tff(423,plain,
% 3.92/2.76 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s1, c_n1) | (~node1(s1)))),
% 3.92/2.76 inference(quant_inst,[status(thm)],[])).
% 3.92/2.76 tff(424,plain,
% 3.92/2.76 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s1, c_n1) | (~node1(s1))),
% 3.92/2.76 inference(modus_ponens,[status(thm)],[423, 422])).
% 3.92/2.76 tff(425,plain,
% 3.92/2.76 (~node1(s1)),
% 3.92/2.76 inference(unit_resolution,[status(thm)],[424, 421, 231])).
% 3.92/2.76 tff(426,plain,
% 3.92/2.76 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s1, s2)) | node7(s1, s2))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s1, s2)) | node7(s1, s2))),
% 3.92/2.76 inference(rewrite,[status(thm)],[])).
% 3.92/2.76 tff(427,plain,
% 3.92/2.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s1, s2)) | node7(s1, s2))),
% 3.92/2.76 inference(quant_inst,[status(thm)],[])).
% 3.92/2.76 tff(428,plain,
% 3.92/2.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s1, s2)) | node7(s1, s2)),
% 3.92/2.76 inference(modus_ponens,[status(thm)],[427, 426])).
% 3.92/2.76 tff(429,plain,
% 3.92/2.76 (node7(s1, s2)),
% 3.92/2.76 inference(unit_resolution,[status(thm)],[428, 206, 282])).
% 3.92/2.76 tff(430,plain,
% 3.92/2.76 (^[Y: $i, X: $i] : refl(((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1)) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1)))),
% 3.92/2.76 inference(bind,[status(th)],[])).
% 3.92/2.76 tff(431,plain,
% 3.92/2.76 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1)) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))),
% 3.92/2.76 inference(quant_intro,[status(thm)],[430])).
% 3.92/2.76 tff(432,plain,
% 3.92/2.76 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1)) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))),
% 3.92/2.76 inference(rewrite,[status(thm)],[])).
% 3.92/2.76 tff(433,plain,
% 3.92/2.76 (^[Y: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((node1(X) | node2(X)) | node3(X)) <=> (node1(X) | node2(X) | node3(X))), ((((node1(X) | node2(X)) | node3(X)) | node4(X)) <=> ((node1(X) | node2(X) | node3(X)) | node4(X)))), rewrite(((node1(X) | node2(X) | node3(X)) | node4(X)) <=> (node1(X) | node2(X) | node3(X) | node4(X))), ((((node1(X) | node2(X)) | node3(X)) | node4(X)) <=> (node1(X) | node2(X) | node3(X) | node4(X)))), (((((node1(X) | node2(X)) | node3(X)) | node4(X)) | (~m_main_v_state1(X, c_t1))) <=> ((node1(X) | node2(X) | node3(X) | node4(X)) | (~m_main_v_state1(X, c_t1))))), rewrite(((node1(X) | node2(X) | node3(X) | node4(X)) | (~m_main_v_state1(X, c_t1))) <=> ((~m_main_v_state1(X, c_t1)) | node1(X) | node2(X) | node3(X) | node4(X))), (((((node1(X) | node2(X)) | node3(X)) | node4(X)) | (~m_main_v_state1(X, c_t1))) <=> ((~m_main_v_state1(X, c_t1)) | node1(X) | node2(X) | node3(X) | node4(X)))), ((((((node1(X) | node2(X)) | node3(X)) | node4(X)) | (~m_main_v_state1(X, c_t1))) | (~m_main_v_state2(X, c_t2))) <=> (((~m_main_v_state1(X, c_t1)) | node1(X) | node2(X) | node3(X) | node4(X)) | (~m_main_v_state2(X, c_t2))))), rewrite((((~m_main_v_state1(X, c_t1)) | node1(X) | node2(X) | node3(X) | node4(X)) | (~m_main_v_state2(X, c_t2))) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | node1(X) | node2(X) | node3(X) | node4(X))), ((((((node1(X) | node2(X)) | node3(X)) | node4(X)) | (~m_main_v_state1(X, c_t1))) | (~m_main_v_state2(X, c_t2))) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | node1(X) | node2(X) | node3(X) | node4(X)))), (((((((node1(X) | node2(X)) | node3(X)) | node4(X)) | (~m_main_v_state1(X, c_t1))) | (~m_main_v_state2(X, c_t2))) | (~m_main_v_turn(X, c_1))) <=> (((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | node1(X) | node2(X) | node3(X) | node4(X)) | (~m_main_v_turn(X, c_1))))), rewrite((((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | node1(X) | node2(X) | node3(X) | node4(X)) | (~m_main_v_turn(X, c_1))) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X))), (((((((node1(X) | node2(X)) | node3(X)) | node4(X)) | (~m_main_v_state1(X, c_t1))) | (~m_main_v_state2(X, c_t2))) | (~m_main_v_turn(X, c_1))) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X)))), ((((((((node1(X) | node2(X)) | node3(X)) | node4(X)) | (~m_main_v_state1(X, c_t1))) | (~m_main_v_state2(X, c_t2))) | (~m_main_v_turn(X, c_1))) | m_main_v_state1(Y, c_c1)) <=> (((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X)) | m_main_v_state1(Y, c_c1)))), rewrite((((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X)) | m_main_v_state1(Y, c_c1)) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X) | m_main_v_state1(Y, c_c1))), ((((((((node1(X) | node2(X)) | node3(X)) | node4(X)) | (~m_main_v_state1(X, c_t1))) | (~m_main_v_state2(X, c_t2))) | (~m_main_v_turn(X, c_1))) | m_main_v_state1(Y, c_c1)) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X) | m_main_v_state1(Y, c_c1)))), (((((((((node1(X) | node2(X)) | node3(X)) | node4(X)) | (~m_main_v_state1(X, c_t1))) | (~m_main_v_state2(X, c_t2))) | (~m_main_v_turn(X, c_1))) | m_main_v_state1(Y, c_c1)) | (~node7(X, Y))) <=> (((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X) | m_main_v_state1(Y, c_c1)) | (~node7(X, Y))))), rewrite((((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X) | m_main_v_state1(Y, c_c1)) | (~node7(X, Y))) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))), (((((((((node1(X) | node2(X)) | node3(X)) | node4(X)) | (~m_main_v_state1(X, c_t1))) | (~m_main_v_state2(X, c_t2))) | (~m_main_v_turn(X, c_1))) | m_main_v_state1(Y, c_c1)) | (~node7(X, Y))) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))))),
% 3.92/2.76 inference(bind,[status(th)],[])).
% 3.92/2.76 tff(434,plain,
% 3.92/2.76 (![Y: $i, X: $i] : ((((((((node1(X) | node2(X)) | node3(X)) | node4(X)) | (~m_main_v_state1(X, c_t1))) | (~m_main_v_state2(X, c_t2))) | (~m_main_v_turn(X, c_1))) | m_main_v_state1(Y, c_c1)) | (~node7(X, Y))) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))),
% 3.92/2.76 inference(quant_intro,[status(thm)],[433])).
% 3.92/2.76 tff(435,axiom,(![Y: $i, X: $i] : ((((((((node1(X) | node2(X)) | node3(X)) | node4(X)) | (~m_main_v_state1(X, c_t1))) | (~m_main_v_state2(X, c_t2))) | (~m_main_v_turn(X, c_1))) | m_main_v_state1(Y, c_c1)) | (~node7(X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_31')).
% 3.92/2.76 tff(436,plain,
% 3.92/2.76 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))),
% 3.92/2.76 inference(modus_ponens,[status(thm)],[435, 434])).
% 3.92/2.76 tff(437,plain,
% 3.92/2.76 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))),
% 3.92/2.76 inference(modus_ponens,[status(thm)],[436, 432])).
% 3.92/2.76 tff(438,plain,(
% 3.92/2.76 ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))),
% 3.92/2.76 inference(skolemize,[status(sab)],[437])).
% 3.92/2.76 tff(439,plain,
% 3.92/2.76 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))),
% 3.92/2.77 inference(modus_ponens,[status(thm)],[438, 431])).
% 3.92/2.77 tff(440,plain,
% 3.92/2.77 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state2(s1, c_t2)) | (~m_main_v_state1(s1, c_t1)) | m_main_v_state1(s2, c_c1) | node1(s1) | node2(s1) | node3(s1) | node4(s1) | (~node7(s1, s2)) | (~m_main_v_turn(s1, c_1)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state2(s1, c_t2)) | (~m_main_v_state1(s1, c_t1)) | m_main_v_state1(s2, c_c1) | node1(s1) | node2(s1) | node3(s1) | node4(s1) | (~node7(s1, s2)) | (~m_main_v_turn(s1, c_1)))),
% 3.92/2.77 inference(rewrite,[status(thm)],[])).
% 3.92/2.77 tff(441,plain,
% 3.92/2.77 (((~m_main_v_state1(s1, c_t1)) | (~m_main_v_state2(s1, c_t2)) | (~m_main_v_turn(s1, c_1)) | node1(s1) | node2(s1) | node3(s1) | node4(s1) | (~node7(s1, s2)) | m_main_v_state1(s2, c_c1)) <=> ((~m_main_v_state2(s1, c_t2)) | (~m_main_v_state1(s1, c_t1)) | m_main_v_state1(s2, c_c1) | node1(s1) | node2(s1) | node3(s1) | node4(s1) | (~node7(s1, s2)) | (~m_main_v_turn(s1, c_1)))),
% 3.92/2.77 inference(rewrite,[status(thm)],[])).
% 3.92/2.77 tff(442,plain,
% 3.92/2.77 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s1, c_t1)) | (~m_main_v_state2(s1, c_t2)) | (~m_main_v_turn(s1, c_1)) | node1(s1) | node2(s1) | node3(s1) | node4(s1) | (~node7(s1, s2)) | m_main_v_state1(s2, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state2(s1, c_t2)) | (~m_main_v_state1(s1, c_t1)) | m_main_v_state1(s2, c_c1) | node1(s1) | node2(s1) | node3(s1) | node4(s1) | (~node7(s1, s2)) | (~m_main_v_turn(s1, c_1))))),
% 3.92/2.77 inference(monotonicity,[status(thm)],[441])).
% 3.92/2.77 tff(443,plain,
% 3.92/2.77 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s1, c_t1)) | (~m_main_v_state2(s1, c_t2)) | (~m_main_v_turn(s1, c_1)) | node1(s1) | node2(s1) | node3(s1) | node4(s1) | (~node7(s1, s2)) | m_main_v_state1(s2, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state2(s1, c_t2)) | (~m_main_v_state1(s1, c_t1)) | m_main_v_state1(s2, c_c1) | node1(s1) | node2(s1) | node3(s1) | node4(s1) | (~node7(s1, s2)) | (~m_main_v_turn(s1, c_1)))),
% 3.92/2.77 inference(transitivity,[status(thm)],[442, 440])).
% 3.92/2.77 tff(444,plain,
% 3.92/2.77 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s1, c_t1)) | (~m_main_v_state2(s1, c_t2)) | (~m_main_v_turn(s1, c_1)) | node1(s1) | node2(s1) | node3(s1) | node4(s1) | (~node7(s1, s2)) | m_main_v_state1(s2, c_c1))),
% 3.92/2.77 inference(quant_inst,[status(thm)],[])).
% 3.92/2.77 tff(445,plain,
% 3.92/2.77 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_t2)) | (~m_main_v_turn(X, c_1)) | node1(X) | node2(X) | node3(X) | node4(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state2(s1, c_t2)) | (~m_main_v_state1(s1, c_t1)) | m_main_v_state1(s2, c_c1) | node1(s1) | node2(s1) | node3(s1) | node4(s1) | (~node7(s1, s2)) | (~m_main_v_turn(s1, c_1))),
% 3.92/2.77 inference(modus_ponens,[status(thm)],[444, 443])).
% 3.92/2.77 tff(446,plain,
% 3.92/2.77 (m_main_v_state1(s2, c_c1) | node1(s1) | node2(s1) | node3(s1) | node4(s1) | (~m_main_v_turn(s1, c_1))),
% 3.92/2.77 inference(unit_resolution,[status(thm)],[445, 439, 429, 70, 227])).
% 3.92/2.77 tff(447,plain,
% 3.92/2.77 (m_main_v_state1(s2, c_c1)),
% 3.92/2.77 inference(unit_resolution,[status(thm)],[446, 425, 414, 403, 392, 381])).
% 3.92/2.77 tff(448,plain,
% 3.92/2.77 (^[X: $i] : refl(((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1))) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1))))),
% 3.92/2.77 inference(bind,[status(th)],[])).
% 3.92/2.77 tff(449,plain,
% 3.92/2.77 (![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1))) <=> ![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))),
% 3.92/2.77 inference(quant_intro,[status(thm)],[448])).
% 3.92/2.77 tff(450,plain,
% 3.92/2.77 (![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1))) <=> ![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))),
% 3.92/2.77 inference(rewrite,[status(thm)],[])).
% 3.92/2.77 tff(451,axiom,(![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_3')).
% 3.92/2.77 tff(452,plain,
% 3.92/2.77 (![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))),
% 3.92/2.77 inference(modus_ponens,[status(thm)],[451, 450])).
% 3.92/2.77 tff(453,plain,(
% 3.92/2.77 ![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))),
% 3.92/2.77 inference(skolemize,[status(sab)],[452])).
% 3.92/2.77 tff(454,plain,
% 3.92/2.77 (![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))),
% 3.92/2.77 inference(modus_ponens,[status(thm)],[453, 449])).
% 3.92/2.77 tff(455,plain,
% 3.92/2.77 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s2, c_n1)) | (~m_main_v_state1(s2, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s2, c_n1)) | (~m_main_v_state1(s2, c_c1)))),
% 3.92/2.77 inference(rewrite,[status(thm)],[])).
% 3.92/2.77 tff(456,plain,
% 3.92/2.77 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s2, c_n1)) | (~m_main_v_state1(s2, c_c1)))),
% 3.92/2.77 inference(quant_inst,[status(thm)],[])).
% 3.92/2.77 tff(457,plain,
% 3.92/2.77 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s2, c_n1)) | (~m_main_v_state1(s2, c_c1))),
% 3.92/2.77 inference(modus_ponens,[status(thm)],[456, 455])).
% 3.92/2.77 tff(458,plain,
% 3.92/2.77 (~m_main_v_state1(s2, c_n1)),
% 3.92/2.77 inference(unit_resolution,[status(thm)],[457, 454, 447])).
% 3.92/2.77 tff(459,plain,
% 3.92/2.77 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s2, c_n1) | (~node11(s2)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s2, c_n1) | (~node11(s2)))),
% 3.92/2.77 inference(rewrite,[status(thm)],[])).
% 3.92/2.77 tff(460,plain,
% 3.92/2.77 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s2, c_n1) | (~node11(s2)))),
% 3.92/2.77 inference(quant_inst,[status(thm)],[])).
% 3.92/2.77 tff(461,plain,
% 3.92/2.77 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s2, c_n1) | (~node11(s2))),
% 3.92/2.77 inference(modus_ponens,[status(thm)],[460, 459])).
% 3.92/2.77 tff(462,plain,
% 3.92/2.77 (~node11(s2)),
% 3.92/2.77 inference(unit_resolution,[status(thm)],[461, 238, 458])).
% 3.92/2.77 tff(463,plain,
% 3.92/2.77 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s2, c_n2) | (~node10(s2)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s2, c_n2) | (~node10(s2)))),
% 3.92/2.77 inference(rewrite,[status(thm)],[])).
% 3.92/2.77 tff(464,plain,
% 3.92/2.77 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s2, c_n2) | (~node10(s2)))),
% 3.92/2.77 inference(quant_inst,[status(thm)],[])).
% 3.92/2.77 tff(465,plain,
% 3.92/2.77 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s2, c_n2) | (~node10(s2))),
% 3.92/2.77 inference(modus_ponens,[status(thm)],[464, 463])).
% 3.92/2.77 tff(466,plain,
% 3.92/2.77 (~node10(s2)),
% 3.92/2.77 inference(unit_resolution,[status(thm)],[465, 249, 318])).
% 3.92/2.77 tff(467,plain,
% 3.92/2.77 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s1, c_c2) | (~m_main_v_state2(s2, c_c2)) | (~node13(s1, s2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s1, c_c2) | (~m_main_v_state2(s2, c_c2)) | (~node13(s1, s2)))),
% 3.92/2.77 inference(rewrite,[status(thm)],[])).
% 3.92/2.77 tff(468,plain,
% 3.92/2.77 (((~node13(s1, s2)) | m_main_v_state2(s1, c_c2) | (~m_main_v_state2(s2, c_c2))) <=> (m_main_v_state2(s1, c_c2) | (~m_main_v_state2(s2, c_c2)) | (~node13(s1, s2)))),
% 3.92/2.77 inference(rewrite,[status(thm)],[])).
% 3.92/2.77 tff(469,plain,
% 3.92/2.77 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s1, s2)) | m_main_v_state2(s1, c_c2) | (~m_main_v_state2(s2, c_c2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s1, c_c2) | (~m_main_v_state2(s2, c_c2)) | (~node13(s1, s2))))),
% 3.92/2.77 inference(monotonicity,[status(thm)],[468])).
% 3.92/2.77 tff(470,plain,
% 3.92/2.77 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s1, s2)) | m_main_v_state2(s1, c_c2) | (~m_main_v_state2(s2, c_c2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s1, c_c2) | (~m_main_v_state2(s2, c_c2)) | (~node13(s1, s2)))),
% 3.92/2.77 inference(transitivity,[status(thm)],[469, 467])).
% 3.92/2.77 tff(471,plain,
% 3.92/2.77 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s1, s2)) | m_main_v_state2(s1, c_c2) | (~m_main_v_state2(s2, c_c2)))),
% 3.92/2.77 inference(quant_inst,[status(thm)],[])).
% 3.92/2.77 tff(472,plain,
% 3.92/2.77 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s1, c_c2) | (~m_main_v_state2(s2, c_c2)) | (~node13(s1, s2))),
% 3.92/2.77 inference(modus_ponens,[status(thm)],[471, 470])).
% 3.92/2.77 tff(473,plain,
% 3.92/2.77 (~m_main_v_state2(s2, c_c2)),
% 3.92/2.77 inference(unit_resolution,[status(thm)],[472, 311, 264, 301])).
% 3.92/2.77 tff(474,plain,
% 3.92/2.77 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s2, c_n2) | (~node8(s2)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s2, c_n2) | (~node8(s2)))),
% 3.92/2.77 inference(rewrite,[status(thm)],[])).
% 3.92/2.77 tff(475,plain,
% 3.92/2.77 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s2, c_n2) | (~node8(s2)))),
% 3.92/2.77 inference(quant_inst,[status(thm)],[])).
% 3.92/2.77 tff(476,plain,
% 3.92/2.77 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s2, c_n2) | (~node8(s2))),
% 3.92/2.77 inference(modus_ponens,[status(thm)],[475, 474])).
% 3.92/2.77 tff(477,plain,
% 3.92/2.77 (~node8(s2)),
% 3.92/2.77 inference(unit_resolution,[status(thm)],[476, 271, 318])).
% 3.92/2.77 tff(478,plain,
% 3.92/2.77 (succ(s2, s3) <=> succ(s2, s3)),
% 3.92/2.77 inference(rewrite,[status(thm)],[])).
% 3.92/2.77 tff(479,axiom,(succ(s2, s3)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound3')).
% 3.92/2.77 tff(480,plain,
% 3.92/2.77 (succ(s2, s3)),
% 3.92/2.77 inference(modus_ponens,[status(thm)],[479, 478])).
% 3.92/2.77 tff(481,plain,
% 3.92/2.77 (((~![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))),
% 3.92/2.77 inference(rewrite,[status(thm)],[])).
% 3.92/2.77 tff(482,plain,
% 3.92/2.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s2, s3)) | trans(s2, s3))),
% 3.92/2.77 inference(quant_inst,[status(thm)],[])).
% 3.92/2.77 tff(483,plain,
% 3.92/2.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s2, s3)) | trans(s2, s3)),
% 3.92/2.77 inference(modus_ponens,[status(thm)],[482, 481])).
% 3.92/2.77 tff(484,plain,
% 3.92/2.77 (trans(s2, s3)),
% 3.92/2.77 inference(unit_resolution,[status(thm)],[483, 480, 32])).
% 3.92/2.77 tff(485,plain,
% 3.92/2.77 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s2, s3)) | node14(s2, s3))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s2, s3)) | node14(s2, s3))),
% 3.92/2.77 inference(rewrite,[status(thm)],[])).
% 3.92/2.77 tff(486,plain,
% 3.92/2.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s2, s3)) | node14(s2, s3))),
% 3.92/2.77 inference(quant_inst,[status(thm)],[])).
% 3.92/2.77 tff(487,plain,
% 3.92/2.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s2, s3)) | node14(s2, s3)),
% 3.92/2.77 inference(modus_ponens,[status(thm)],[486, 485])).
% 3.92/2.77 tff(488,plain,
% 3.92/2.77 (node14(s2, s3)),
% 3.92/2.77 inference(unit_resolution,[status(thm)],[487, 46, 484])).
% 3.92/2.77 tff(489,plain,
% 3.92/2.77 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s2, c_c2) | node9(s2) | node8(s2) | node10(s2) | node11(s2) | node12(s2) | node13(s2, s3) | (~node14(s2, s3)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s2, c_c2) | node9(s2) | node8(s2) | node10(s2) | node11(s2) | node12(s2) | node13(s2, s3) | (~node14(s2, s3)))),
% 3.92/2.77 inference(rewrite,[status(thm)],[])).
% 3.92/2.77 tff(490,plain,
% 3.92/2.77 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s2, c_c2) | node9(s2) | node8(s2) | node10(s2) | node11(s2) | node12(s2) | node13(s2, s3) | (~node14(s2, s3)))),
% 3.92/2.77 inference(quant_inst,[status(thm)],[])).
% 3.92/2.77 tff(491,plain,
% 3.92/2.77 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s2, c_c2) | node9(s2) | node8(s2) | node10(s2) | node11(s2) | node12(s2) | node13(s2, s3) | (~node14(s2, s3))),
% 3.92/2.77 inference(modus_ponens,[status(thm)],[490, 489])).
% 3.92/2.77 tff(492,plain,
% 3.92/2.77 (m_main_v_state2(s2, c_c2) | node9(s2) | node8(s2) | node10(s2) | node11(s2) | node12(s2) | node13(s2, s3)),
% 3.92/2.77 inference(unit_resolution,[status(thm)],[491, 296, 488])).
% 3.92/2.77 tff(493,plain,
% 3.92/2.77 (node13(s2, s3)),
% 3.92/2.77 inference(unit_resolution,[status(thm)],[492, 477, 473, 466, 462, 364, 322])).
% 3.92/2.77 tff(494,plain,
% 3.92/2.77 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s2, c_n2) | (~m_main_v_state2(s3, c_n2)) | (~node13(s2, s3)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s2, c_n2) | (~m_main_v_state2(s3, c_n2)) | (~node13(s2, s3)))),
% 3.92/2.77 inference(rewrite,[status(thm)],[])).
% 3.92/2.77 tff(495,plain,
% 3.92/2.77 (((~node13(s2, s3)) | m_main_v_state2(s2, c_n2) | (~m_main_v_state2(s3, c_n2))) <=> (m_main_v_state2(s2, c_n2) | (~m_main_v_state2(s3, c_n2)) | (~node13(s2, s3)))),
% 3.92/2.77 inference(rewrite,[status(thm)],[])).
% 3.92/2.77 tff(496,plain,
% 3.92/2.77 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s2, s3)) | m_main_v_state2(s2, c_n2) | (~m_main_v_state2(s3, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s2, c_n2) | (~m_main_v_state2(s3, c_n2)) | (~node13(s2, s3))))),
% 3.92/2.77 inference(monotonicity,[status(thm)],[495])).
% 3.92/2.77 tff(497,plain,
% 3.92/2.77 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s2, s3)) | m_main_v_state2(s2, c_n2) | (~m_main_v_state2(s3, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s2, c_n2) | (~m_main_v_state2(s3, c_n2)) | (~node13(s2, s3)))),
% 3.92/2.77 inference(transitivity,[status(thm)],[496, 494])).
% 3.92/2.77 tff(498,plain,
% 3.92/2.77 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s2, s3)) | m_main_v_state2(s2, c_n2) | (~m_main_v_state2(s3, c_n2)))),
% 3.92/2.77 inference(quant_inst,[status(thm)],[])).
% 3.92/2.77 tff(499,plain,
% 3.92/2.77 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s2, c_n2) | (~m_main_v_state2(s3, c_n2)) | (~node13(s2, s3))),
% 3.92/2.77 inference(modus_ponens,[status(thm)],[498, 497])).
% 3.92/2.77 tff(500,plain,
% 3.92/2.77 (~m_main_v_state2(s3, c_n2)),
% 3.92/2.77 inference(unit_resolution,[status(thm)],[499, 311, 318, 493])).
% 3.92/2.77 tff(501,plain,
% 3.92/2.77 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s3, c_n2) | (~node9(s3)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s3, c_n2) | (~node9(s3)))),
% 3.92/2.77 inference(rewrite,[status(thm)],[])).
% 3.92/2.77 tff(502,plain,
% 3.92/2.77 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s3, c_n2) | (~node9(s3)))),
% 3.92/2.77 inference(quant_inst,[status(thm)],[])).
% 3.92/2.77 tff(503,plain,
% 3.92/2.77 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s3, c_n2) | (~node9(s3))),
% 3.92/2.77 inference(modus_ponens,[status(thm)],[502, 501])).
% 3.92/2.77 tff(504,plain,
% 3.92/2.77 (~node9(s3)),
% 3.92/2.77 inference(unit_resolution,[status(thm)],[503, 88, 500])).
% 3.92/2.77 tff(505,plain,
% 3.92/2.77 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s3, c_n2) | (~node10(s3)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s3, c_n2) | (~node10(s3)))),
% 3.92/2.77 inference(rewrite,[status(thm)],[])).
% 3.92/2.77 tff(506,plain,
% 3.92/2.77 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s3, c_n2) | (~node10(s3)))),
% 3.92/2.77 inference(quant_inst,[status(thm)],[])).
% 3.92/2.77 tff(507,plain,
% 3.92/2.77 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s3, c_n2) | (~node10(s3))),
% 3.92/2.77 inference(modus_ponens,[status(thm)],[506, 505])).
% 3.92/2.77 tff(508,plain,
% 3.92/2.77 (~node10(s3)),
% 3.92/2.77 inference(unit_resolution,[status(thm)],[507, 249, 500])).
% 3.92/2.77 tff(509,plain,
% 3.92/2.77 (^[V: $i, Y: $i, X: $i] : refl(((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V)) <=> ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V)))),
% 3.92/2.77 inference(bind,[status(th)],[])).
% 3.92/2.77 tff(510,plain,
% 3.92/2.77 (![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V)) <=> ![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))),
% 3.92/2.77 inference(quant_intro,[status(thm)],[509])).
% 3.92/2.77 tff(511,plain,
% 3.92/2.77 (![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V)) <=> ![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))),
% 3.92/2.77 inference(rewrite,[status(thm)],[])).
% 3.92/2.77 tff(512,plain,
% 3.92/2.77 (^[V: $i, Y: $i, X: $i] : trans(monotonicity(rewrite((m_main_v_state2(Y, V) | (~m_main_v_state2(X, V))) <=> ((~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))), (((m_main_v_state2(Y, V) | (~m_main_v_state2(X, V))) | (~node13(X, Y))) <=> (((~m_main_v_state2(X, V)) | m_main_v_state2(Y, V)) | (~node13(X, Y))))), rewrite((((~m_main_v_state2(X, V)) | m_main_v_state2(Y, V)) | (~node13(X, Y))) <=> ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))), (((m_main_v_state2(Y, V) | (~m_main_v_state2(X, V))) | (~node13(X, Y))) <=> ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))))),
% 3.92/2.77 inference(bind,[status(th)],[])).
% 3.92/2.77 tff(513,plain,
% 3.92/2.77 (![V: $i, Y: $i, X: $i] : ((m_main_v_state2(Y, V) | (~m_main_v_state2(X, V))) | (~node13(X, Y))) <=> ![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))),
% 3.92/2.77 inference(quant_intro,[status(thm)],[512])).
% 3.92/2.77 tff(514,axiom,(![V: $i, Y: $i, X: $i] : ((m_main_v_state2(Y, V) | (~m_main_v_state2(X, V))) | (~node13(X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_46')).
% 3.92/2.77 tff(515,plain,
% 3.92/2.77 (![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))),
% 3.92/2.77 inference(modus_ponens,[status(thm)],[514, 513])).
% 3.92/2.77 tff(516,plain,
% 3.92/2.77 (![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))),
% 3.92/2.77 inference(modus_ponens,[status(thm)],[515, 511])).
% 3.92/2.77 tff(517,plain,(
% 3.92/2.77 ![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))),
% 3.92/2.77 inference(skolemize,[status(sab)],[516])).
% 3.92/2.77 tff(518,plain,
% 3.92/2.77 (![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))),
% 3.92/2.77 inference(modus_ponens,[status(thm)],[517, 510])).
% 3.92/2.77 tff(519,plain,
% 3.92/2.77 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s1, c_t2)) | m_main_v_state2(s2, c_t2) | (~node13(s1, s2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s1, c_t2)) | m_main_v_state2(s2, c_t2) | (~node13(s1, s2)))),
% 3.92/2.77 inference(rewrite,[status(thm)],[])).
% 3.92/2.77 tff(520,plain,
% 3.92/2.77 (((~node13(s1, s2)) | (~m_main_v_state2(s1, c_t2)) | m_main_v_state2(s2, c_t2)) <=> ((~m_main_v_state2(s1, c_t2)) | m_main_v_state2(s2, c_t2) | (~node13(s1, s2)))),
% 3.92/2.77 inference(rewrite,[status(thm)],[])).
% 3.92/2.77 tff(521,plain,
% 3.92/2.77 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s1, s2)) | (~m_main_v_state2(s1, c_t2)) | m_main_v_state2(s2, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s1, c_t2)) | m_main_v_state2(s2, c_t2) | (~node13(s1, s2))))),
% 3.92/2.77 inference(monotonicity,[status(thm)],[520])).
% 3.92/2.77 tff(522,plain,
% 3.92/2.77 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s1, s2)) | (~m_main_v_state2(s1, c_t2)) | m_main_v_state2(s2, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s1, c_t2)) | m_main_v_state2(s2, c_t2) | (~node13(s1, s2)))),
% 3.92/2.77 inference(transitivity,[status(thm)],[521, 519])).
% 3.92/2.77 tff(523,plain,
% 3.92/2.77 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s1, s2)) | (~m_main_v_state2(s1, c_t2)) | m_main_v_state2(s2, c_t2))),
% 3.92/2.77 inference(quant_inst,[status(thm)],[])).
% 3.92/2.77 tff(524,plain,
% 3.92/2.77 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s1, c_t2)) | m_main_v_state2(s2, c_t2) | (~node13(s1, s2))),
% 3.92/2.77 inference(modus_ponens,[status(thm)],[523, 522])).
% 3.92/2.77 tff(525,plain,
% 3.92/2.77 (m_main_v_state2(s2, c_t2)),
% 3.92/2.77 inference(unit_resolution,[status(thm)],[524, 518, 70, 301])).
% 3.92/2.77 tff(526,plain,
% 3.92/2.77 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s2, c_t2)) | m_main_v_state2(s3, c_t2) | (~node13(s2, s3)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s2, c_t2)) | m_main_v_state2(s3, c_t2) | (~node13(s2, s3)))),
% 3.92/2.77 inference(rewrite,[status(thm)],[])).
% 3.92/2.77 tff(527,plain,
% 3.92/2.77 (((~node13(s2, s3)) | (~m_main_v_state2(s2, c_t2)) | m_main_v_state2(s3, c_t2)) <=> ((~m_main_v_state2(s2, c_t2)) | m_main_v_state2(s3, c_t2) | (~node13(s2, s3)))),
% 3.92/2.77 inference(rewrite,[status(thm)],[])).
% 3.92/2.77 tff(528,plain,
% 3.92/2.77 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s2, s3)) | (~m_main_v_state2(s2, c_t2)) | m_main_v_state2(s3, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s2, c_t2)) | m_main_v_state2(s3, c_t2) | (~node13(s2, s3))))),
% 3.92/2.77 inference(monotonicity,[status(thm)],[527])).
% 3.92/2.77 tff(529,plain,
% 3.92/2.77 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s2, s3)) | (~m_main_v_state2(s2, c_t2)) | m_main_v_state2(s3, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s2, c_t2)) | m_main_v_state2(s3, c_t2) | (~node13(s2, s3)))),
% 3.92/2.77 inference(transitivity,[status(thm)],[528, 526])).
% 3.92/2.77 tff(530,plain,
% 3.92/2.77 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s2, s3)) | (~m_main_v_state2(s2, c_t2)) | m_main_v_state2(s3, c_t2))),
% 3.92/2.77 inference(quant_inst,[status(thm)],[])).
% 3.92/2.77 tff(531,plain,
% 3.92/2.77 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s2, c_t2)) | m_main_v_state2(s3, c_t2) | (~node13(s2, s3))),
% 3.92/2.77 inference(modus_ponens,[status(thm)],[530, 529])).
% 3.92/2.77 tff(532,plain,
% 3.92/2.77 (m_main_v_state2(s3, c_t2)),
% 3.92/2.77 inference(unit_resolution,[status(thm)],[531, 518, 525, 493])).
% 3.92/2.77 tff(533,plain,
% 3.92/2.77 (^[X: $i] : refl(((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1))) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1))))),
% 3.92/2.77 inference(bind,[status(th)],[])).
% 3.92/2.77 tff(534,plain,
% 3.92/2.77 (![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1))) <=> ![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))),
% 3.92/2.77 inference(quant_intro,[status(thm)],[533])).
% 3.92/2.77 tff(535,plain,
% 3.92/2.77 (![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1))) <=> ![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))),
% 3.92/2.77 inference(rewrite,[status(thm)],[])).
% 3.92/2.77 tff(536,axiom,(![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_4')).
% 3.92/2.77 tff(537,plain,
% 3.92/2.77 (![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))),
% 3.92/2.77 inference(modus_ponens,[status(thm)],[536, 535])).
% 3.92/2.77 tff(538,plain,(
% 3.92/2.77 ![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))),
% 3.92/2.77 inference(skolemize,[status(sab)],[537])).
% 3.92/2.77 tff(539,plain,
% 3.92/2.77 (![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))),
% 3.92/2.77 inference(modus_ponens,[status(thm)],[538, 534])).
% 3.92/2.77 tff(540,plain,
% 3.92/2.77 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s2, c_t1)) | (~m_main_v_state1(s2, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s2, c_t1)) | (~m_main_v_state1(s2, c_c1)))),
% 3.92/2.77 inference(rewrite,[status(thm)],[])).
% 3.92/2.77 tff(541,plain,
% 3.92/2.77 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s2, c_t1)) | (~m_main_v_state1(s2, c_c1)))),
% 3.92/2.77 inference(quant_inst,[status(thm)],[])).
% 3.92/2.77 tff(542,plain,
% 3.92/2.77 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s2, c_t1)) | (~m_main_v_state1(s2, c_c1))),
% 3.92/2.77 inference(modus_ponens,[status(thm)],[541, 540])).
% 3.92/2.77 tff(543,plain,
% 3.92/2.77 (~m_main_v_state1(s2, c_t1)),
% 3.92/2.77 inference(unit_resolution,[status(thm)],[542, 539, 447])).
% 3.92/2.77 tff(544,plain,
% 3.92/2.77 (^[X: $i] : refl((m_main_v_state1(X, c_t1) | (~node5(X))) <=> (m_main_v_state1(X, c_t1) | (~node5(X))))),
% 3.92/2.77 inference(bind,[status(th)],[])).
% 3.92/2.77 tff(545,plain,
% 3.92/2.77 (![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X))) <=> ![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))),
% 3.92/2.77 inference(quant_intro,[status(thm)],[544])).
% 3.92/2.77 tff(546,plain,
% 3.92/2.77 (![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X))) <=> ![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))),
% 3.92/2.77 inference(rewrite,[status(thm)],[])).
% 3.92/2.77 tff(547,axiom,(![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_22')).
% 3.92/2.77 tff(548,plain,
% 3.92/2.77 (![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))),
% 3.92/2.77 inference(modus_ponens,[status(thm)],[547, 546])).
% 3.92/2.77 tff(549,plain,(
% 3.92/2.77 ![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))),
% 3.92/2.77 inference(skolemize,[status(sab)],[548])).
% 3.92/2.77 tff(550,plain,
% 3.92/2.77 (![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))),
% 3.92/2.77 inference(modus_ponens,[status(thm)],[549, 545])).
% 3.92/2.77 tff(551,plain,
% 3.92/2.77 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s2, c_t1) | (~node5(s2)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s2, c_t1) | (~node5(s2)))),
% 3.92/2.77 inference(rewrite,[status(thm)],[])).
% 3.92/2.77 tff(552,plain,
% 3.92/2.77 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s2, c_t1) | (~node5(s2)))),
% 3.92/2.77 inference(quant_inst,[status(thm)],[])).
% 3.92/2.77 tff(553,plain,
% 3.92/2.77 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s2, c_t1) | (~node5(s2))),
% 3.92/2.77 inference(modus_ponens,[status(thm)],[552, 551])).
% 3.92/2.77 tff(554,plain,
% 3.92/2.77 (~node5(s2)),
% 3.92/2.77 inference(unit_resolution,[status(thm)],[553, 550, 543])).
% 3.92/2.77 tff(555,plain,
% 3.92/2.77 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s2, c_n2) | (~node4(s2)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s2, c_n2) | (~node4(s2)))),
% 3.92/2.77 inference(rewrite,[status(thm)],[])).
% 3.92/2.77 tff(556,plain,
% 3.92/2.77 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s2, c_n2) | (~node4(s2)))),
% 3.92/2.77 inference(quant_inst,[status(thm)],[])).
% 3.92/2.77 tff(557,plain,
% 3.92/2.77 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s2, c_n2) | (~node4(s2))),
% 3.92/2.78 inference(modus_ponens,[status(thm)],[556, 555])).
% 3.92/2.78 tff(558,plain,
% 3.92/2.78 (~node4(s2)),
% 3.92/2.78 inference(unit_resolution,[status(thm)],[557, 388, 318])).
% 3.92/2.78 tff(559,plain,
% 3.92/2.78 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s2, c_c2) | (~node3(s2)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s2, c_c2) | (~node3(s2)))),
% 3.92/2.78 inference(rewrite,[status(thm)],[])).
% 3.92/2.78 tff(560,plain,
% 3.92/2.78 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s2, c_c2) | (~node3(s2)))),
% 3.92/2.78 inference(quant_inst,[status(thm)],[])).
% 3.92/2.78 tff(561,plain,
% 3.92/2.78 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s2, c_c2) | (~node3(s2))),
% 3.92/2.78 inference(modus_ponens,[status(thm)],[560, 559])).
% 3.92/2.78 tff(562,plain,
% 3.92/2.78 (~node3(s2)),
% 3.92/2.78 inference(unit_resolution,[status(thm)],[561, 399, 473])).
% 3.92/2.78 tff(563,plain,
% 3.92/2.78 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s2, c_n2) | (~node2(s2)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s2, c_n2) | (~node2(s2)))),
% 3.92/2.78 inference(rewrite,[status(thm)],[])).
% 3.92/2.78 tff(564,plain,
% 3.92/2.78 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s2, c_n2) | (~node2(s2)))),
% 3.92/2.78 inference(quant_inst,[status(thm)],[])).
% 3.92/2.78 tff(565,plain,
% 3.92/2.78 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s2, c_n2) | (~node2(s2))),
% 3.92/2.78 inference(modus_ponens,[status(thm)],[564, 563])).
% 3.92/2.78 tff(566,plain,
% 3.92/2.78 (~node2(s2)),
% 3.92/2.78 inference(unit_resolution,[status(thm)],[565, 410, 318])).
% 3.92/2.78 tff(567,plain,
% 3.92/2.78 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s2, c_n1) | (~node1(s2)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s2, c_n1) | (~node1(s2)))),
% 3.92/2.78 inference(rewrite,[status(thm)],[])).
% 3.92/2.78 tff(568,plain,
% 3.92/2.78 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s2, c_n1) | (~node1(s2)))),
% 3.92/2.78 inference(quant_inst,[status(thm)],[])).
% 3.92/2.78 tff(569,plain,
% 3.92/2.78 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s2, c_n1) | (~node1(s2))),
% 3.92/2.78 inference(modus_ponens,[status(thm)],[568, 567])).
% 3.92/2.78 tff(570,plain,
% 3.92/2.78 (~node1(s2)),
% 3.92/2.78 inference(unit_resolution,[status(thm)],[569, 421, 458])).
% 3.92/2.78 tff(571,plain,
% 3.92/2.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s2, s3)) | node7(s2, s3))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s2, s3)) | node7(s2, s3))),
% 3.92/2.78 inference(rewrite,[status(thm)],[])).
% 3.92/2.78 tff(572,plain,
% 3.92/2.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s2, s3)) | node7(s2, s3))),
% 3.92/2.78 inference(quant_inst,[status(thm)],[])).
% 3.92/2.78 tff(573,plain,
% 3.92/2.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s2, s3)) | node7(s2, s3)),
% 3.92/2.78 inference(modus_ponens,[status(thm)],[572, 571])).
% 3.92/2.78 tff(574,plain,
% 3.92/2.78 (node7(s2, s3)),
% 3.92/2.78 inference(unit_resolution,[status(thm)],[573, 206, 484])).
% 3.92/2.78 tff(575,plain,
% 3.92/2.78 (^[Y: $i, X: $i] : refl(((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1)) <=> ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1)))),
% 3.92/2.78 inference(bind,[status(th)],[])).
% 3.92/2.78 tff(576,plain,
% 3.92/2.78 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1)) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))),
% 3.92/2.78 inference(quant_intro,[status(thm)],[575])).
% 3.92/2.78 tff(577,plain,
% 3.92/2.78 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1)) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))),
% 3.92/2.78 inference(rewrite,[status(thm)],[])).
% 3.92/2.78 tff(578,plain,
% 3.92/2.78 (^[Y: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((node1(X) | node2(X)) | node3(X)) <=> (node1(X) | node2(X) | node3(X))), ((((node1(X) | node2(X)) | node3(X)) | node4(X)) <=> ((node1(X) | node2(X) | node3(X)) | node4(X)))), rewrite(((node1(X) | node2(X) | node3(X)) | node4(X)) <=> (node1(X) | node2(X) | node3(X) | node4(X))), ((((node1(X) | node2(X)) | node3(X)) | node4(X)) <=> (node1(X) | node2(X) | node3(X) | node4(X)))), (((((node1(X) | node2(X)) | node3(X)) | node4(X)) | node5(X)) <=> ((node1(X) | node2(X) | node3(X) | node4(X)) | node5(X)))), rewrite(((node1(X) | node2(X) | node3(X) | node4(X)) | node5(X)) <=> (node1(X) | node2(X) | node3(X) | node4(X) | node5(X))), (((((node1(X) | node2(X)) | node3(X)) | node4(X)) | node5(X)) <=> (node1(X) | node2(X) | node3(X) | node4(X) | node5(X)))), ((((((node1(X) | node2(X)) | node3(X)) | node4(X)) | node5(X)) | (~m_main_v_state1(X, c_c1))) <=> ((node1(X) | node2(X) | node3(X) | node4(X) | node5(X)) | (~m_main_v_state1(X, c_c1))))), rewrite(((node1(X) | node2(X) | node3(X) | node4(X) | node5(X)) | (~m_main_v_state1(X, c_c1))) <=> ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X))), ((((((node1(X) | node2(X)) | node3(X)) | node4(X)) | node5(X)) | (~m_main_v_state1(X, c_c1))) <=> ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X)))), (((((((node1(X) | node2(X)) | node3(X)) | node4(X)) | node5(X)) | (~m_main_v_state1(X, c_c1))) | m_main_v_state1(Y, c_n1)) <=> (((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X)) | m_main_v_state1(Y, c_n1)))), rewrite((((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X)) | m_main_v_state1(Y, c_n1)) <=> ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | m_main_v_state1(Y, c_n1))), (((((((node1(X) | node2(X)) | node3(X)) | node4(X)) | node5(X)) | (~m_main_v_state1(X, c_c1))) | m_main_v_state1(Y, c_n1)) <=> ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | m_main_v_state1(Y, c_n1)))), ((((((((node1(X) | node2(X)) | node3(X)) | node4(X)) | node5(X)) | (~m_main_v_state1(X, c_c1))) | m_main_v_state1(Y, c_n1)) | (~node7(X, Y))) <=> (((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | m_main_v_state1(Y, c_n1)) | (~node7(X, Y))))), rewrite((((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | m_main_v_state1(Y, c_n1)) | (~node7(X, Y))) <=> ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))), ((((((((node1(X) | node2(X)) | node3(X)) | node4(X)) | node5(X)) | (~m_main_v_state1(X, c_c1))) | m_main_v_state1(Y, c_n1)) | (~node7(X, Y))) <=> ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))))),
% 3.92/2.78 inference(bind,[status(th)],[])).
% 3.92/2.78 tff(579,plain,
% 3.92/2.78 (![Y: $i, X: $i] : (((((((node1(X) | node2(X)) | node3(X)) | node4(X)) | node5(X)) | (~m_main_v_state1(X, c_c1))) | m_main_v_state1(Y, c_n1)) | (~node7(X, Y))) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))),
% 3.92/2.78 inference(quant_intro,[status(thm)],[578])).
% 3.92/2.78 tff(580,axiom,(![Y: $i, X: $i] : (((((((node1(X) | node2(X)) | node3(X)) | node4(X)) | node5(X)) | (~m_main_v_state1(X, c_c1))) | m_main_v_state1(Y, c_n1)) | (~node7(X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_32')).
% 3.92/2.78 tff(581,plain,
% 3.92/2.78 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))),
% 3.92/2.78 inference(modus_ponens,[status(thm)],[580, 579])).
% 3.92/2.78 tff(582,plain,
% 3.92/2.78 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))),
% 3.92/2.78 inference(modus_ponens,[status(thm)],[581, 577])).
% 3.92/2.78 tff(583,plain,(
% 3.92/2.78 ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))),
% 3.92/2.78 inference(skolemize,[status(sab)],[582])).
% 3.92/2.78 tff(584,plain,
% 3.92/2.78 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))),
% 3.92/2.78 inference(modus_ponens,[status(thm)],[583, 576])).
% 3.92/2.78 tff(585,plain,
% 3.92/2.78 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s3, c_n1) | (~m_main_v_state1(s2, c_c1)) | node1(s2) | node2(s2) | node3(s2) | node4(s2) | node5(s2) | (~node7(s2, s3)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s3, c_n1) | (~m_main_v_state1(s2, c_c1)) | node1(s2) | node2(s2) | node3(s2) | node4(s2) | node5(s2) | (~node7(s2, s3)))),
% 3.92/2.78 inference(rewrite,[status(thm)],[])).
% 3.92/2.78 tff(586,plain,
% 3.92/2.78 (((~m_main_v_state1(s2, c_c1)) | node1(s2) | node2(s2) | node3(s2) | node4(s2) | node5(s2) | (~node7(s2, s3)) | m_main_v_state1(s3, c_n1)) <=> (m_main_v_state1(s3, c_n1) | (~m_main_v_state1(s2, c_c1)) | node1(s2) | node2(s2) | node3(s2) | node4(s2) | node5(s2) | (~node7(s2, s3)))),
% 3.92/2.78 inference(rewrite,[status(thm)],[])).
% 3.92/2.78 tff(587,plain,
% 3.92/2.78 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s2, c_c1)) | node1(s2) | node2(s2) | node3(s2) | node4(s2) | node5(s2) | (~node7(s2, s3)) | m_main_v_state1(s3, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s3, c_n1) | (~m_main_v_state1(s2, c_c1)) | node1(s2) | node2(s2) | node3(s2) | node4(s2) | node5(s2) | (~node7(s2, s3))))),
% 3.92/2.78 inference(monotonicity,[status(thm)],[586])).
% 3.92/2.78 tff(588,plain,
% 3.92/2.78 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s2, c_c1)) | node1(s2) | node2(s2) | node3(s2) | node4(s2) | node5(s2) | (~node7(s2, s3)) | m_main_v_state1(s3, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s3, c_n1) | (~m_main_v_state1(s2, c_c1)) | node1(s2) | node2(s2) | node3(s2) | node4(s2) | node5(s2) | (~node7(s2, s3)))),
% 3.92/2.78 inference(transitivity,[status(thm)],[587, 585])).
% 3.92/2.78 tff(589,plain,
% 3.92/2.78 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s2, c_c1)) | node1(s2) | node2(s2) | node3(s2) | node4(s2) | node5(s2) | (~node7(s2, s3)) | m_main_v_state1(s3, c_n1))),
% 3.92/2.78 inference(quant_inst,[status(thm)],[])).
% 3.92/2.78 tff(590,plain,
% 3.92/2.78 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s3, c_n1) | (~m_main_v_state1(s2, c_c1)) | node1(s2) | node2(s2) | node3(s2) | node4(s2) | node5(s2) | (~node7(s2, s3))),
% 3.92/2.78 inference(modus_ponens,[status(thm)],[589, 588])).
% 3.92/2.78 tff(591,plain,
% 3.92/2.78 (m_main_v_state1(s3, c_n1) | (~m_main_v_state1(s2, c_c1)) | node1(s2) | node2(s2) | node3(s2) | node4(s2) | node5(s2)),
% 3.92/2.78 inference(unit_resolution,[status(thm)],[590, 584, 574])).
% 3.92/2.78 tff(592,plain,
% 3.92/2.78 (m_main_v_state1(s3, c_n1)),
% 3.92/2.78 inference(unit_resolution,[status(thm)],[591, 570, 447, 566, 562, 558, 554])).
% 3.92/2.78 tff(593,plain,
% 3.92/2.78 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s3, c_n2) | (~node8(s3)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s3, c_n2) | (~node8(s3)))),
% 3.92/2.78 inference(rewrite,[status(thm)],[])).
% 3.92/2.78 tff(594,plain,
% 3.92/2.78 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s3, c_n2) | (~node8(s3)))),
% 3.92/2.78 inference(quant_inst,[status(thm)],[])).
% 3.92/2.78 tff(595,plain,
% 3.92/2.78 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s3, c_n2) | (~node8(s3))),
% 3.92/2.78 inference(modus_ponens,[status(thm)],[594, 593])).
% 3.92/2.78 tff(596,plain,
% 3.92/2.78 (~node8(s3)),
% 3.92/2.78 inference(unit_resolution,[status(thm)],[595, 271, 500])).
% 3.92/2.78 tff(597,plain,
% 3.92/2.78 (succ(s3, s4) <=> succ(s3, s4)),
% 3.92/2.78 inference(rewrite,[status(thm)],[])).
% 3.92/2.78 tff(598,axiom,(succ(s3, s4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound4')).
% 3.92/2.78 tff(599,plain,
% 3.92/2.78 (succ(s3, s4)),
% 3.92/2.78 inference(modus_ponens,[status(thm)],[598, 597])).
% 3.92/2.78 tff(600,plain,
% 3.92/2.78 (((~![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))),
% 3.92/2.78 inference(rewrite,[status(thm)],[])).
% 3.92/2.78 tff(601,plain,
% 3.92/2.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s3, s4)) | trans(s3, s4))),
% 3.92/2.78 inference(quant_inst,[status(thm)],[])).
% 3.92/2.78 tff(602,plain,
% 3.92/2.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s3, s4)) | trans(s3, s4)),
% 3.92/2.78 inference(modus_ponens,[status(thm)],[601, 600])).
% 3.92/2.78 tff(603,plain,
% 3.92/2.78 (trans(s3, s4)),
% 3.92/2.78 inference(unit_resolution,[status(thm)],[602, 599, 32])).
% 3.92/2.78 tff(604,plain,
% 3.92/2.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s3, s4)) | node14(s3, s4))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s3, s4)) | node14(s3, s4))),
% 3.92/2.78 inference(rewrite,[status(thm)],[])).
% 3.92/2.78 tff(605,plain,
% 3.92/2.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s3, s4)) | node14(s3, s4))),
% 3.92/2.78 inference(quant_inst,[status(thm)],[])).
% 3.92/2.78 tff(606,plain,
% 3.92/2.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s3, s4)) | node14(s3, s4)),
% 3.92/2.78 inference(modus_ponens,[status(thm)],[605, 604])).
% 3.92/2.78 tff(607,plain,
% 3.92/2.78 (node14(s3, s4)),
% 3.92/2.78 inference(unit_resolution,[status(thm)],[606, 46, 603])).
% 3.92/2.78 tff(608,plain,
% 3.92/2.78 (^[Y: $i, X: $i] : refl(((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2)) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2)))),
% 3.92/2.78 inference(bind,[status(th)],[])).
% 3.92/2.78 tff(609,plain,
% 3.92/2.78 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2)) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))),
% 3.92/2.78 inference(quant_intro,[status(thm)],[608])).
% 3.92/2.78 tff(610,plain,
% 3.92/2.78 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2)) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))),
% 3.92/2.78 inference(rewrite,[status(thm)],[])).
% 3.92/2.78 tff(611,plain,
% 3.92/2.78 (^[Y: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((node8(X) | node9(X)) | node10(X)) <=> (node9(X) | node8(X) | node10(X))), ((((node8(X) | node9(X)) | node10(X)) | (~m_main_v_state2(X, c_t2))) <=> ((node9(X) | node8(X) | node10(X)) | (~m_main_v_state2(X, c_t2))))), rewrite(((node9(X) | node8(X) | node10(X)) | (~m_main_v_state2(X, c_t2))) <=> ((~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X))), ((((node8(X) | node9(X)) | node10(X)) | (~m_main_v_state2(X, c_t2))) <=> ((~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X)))), (((((node8(X) | node9(X)) | node10(X)) | (~m_main_v_state2(X, c_t2))) | (~m_main_v_state1(X, c_n1))) <=> (((~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X)) | (~m_main_v_state1(X, c_n1))))), rewrite((((~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X)) | (~m_main_v_state1(X, c_n1))) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X))), (((((node8(X) | node9(X)) | node10(X)) | (~m_main_v_state2(X, c_t2))) | (~m_main_v_state1(X, c_n1))) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X)))), ((((((node8(X) | node9(X)) | node10(X)) | (~m_main_v_state2(X, c_t2))) | (~m_main_v_state1(X, c_n1))) | m_main_v_state2(Y, c_c2)) <=> (((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X)) | m_main_v_state2(Y, c_c2)))), rewrite((((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X)) | m_main_v_state2(Y, c_c2)) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | m_main_v_state2(Y, c_c2))), ((((((node8(X) | node9(X)) | node10(X)) | (~m_main_v_state2(X, c_t2))) | (~m_main_v_state1(X, c_n1))) | m_main_v_state2(Y, c_c2)) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | m_main_v_state2(Y, c_c2)))), (((((((node8(X) | node9(X)) | node10(X)) | (~m_main_v_state2(X, c_t2))) | (~m_main_v_state1(X, c_n1))) | m_main_v_state2(Y, c_c2)) | (~node14(X, Y))) <=> (((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | m_main_v_state2(Y, c_c2)) | (~node14(X, Y))))), rewrite((((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | m_main_v_state2(Y, c_c2)) | (~node14(X, Y))) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))), (((((((node8(X) | node9(X)) | node10(X)) | (~m_main_v_state2(X, c_t2))) | (~m_main_v_state1(X, c_n1))) | m_main_v_state2(Y, c_c2)) | (~node14(X, Y))) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))))),
% 3.92/2.78 inference(bind,[status(th)],[])).
% 3.92/2.78 tff(612,plain,
% 3.92/2.78 (![Y: $i, X: $i] : ((((((node8(X) | node9(X)) | node10(X)) | (~m_main_v_state2(X, c_t2))) | (~m_main_v_state1(X, c_n1))) | m_main_v_state2(Y, c_c2)) | (~node14(X, Y))) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))),
% 3.92/2.78 inference(quant_intro,[status(thm)],[611])).
% 3.92/2.78 tff(613,axiom,(![Y: $i, X: $i] : ((((((node8(X) | node9(X)) | node10(X)) | (~m_main_v_state2(X, c_t2))) | (~m_main_v_state1(X, c_n1))) | m_main_v_state2(Y, c_c2)) | (~node14(X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_51')).
% 3.92/2.78 tff(614,plain,
% 3.92/2.78 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))),
% 3.92/2.78 inference(modus_ponens,[status(thm)],[613, 612])).
% 3.92/2.78 tff(615,plain,
% 3.92/2.78 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))),
% 3.92/2.78 inference(modus_ponens,[status(thm)],[614, 610])).
% 3.92/2.78 tff(616,plain,(
% 3.92/2.78 ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))),
% 3.92/2.78 inference(skolemize,[status(sab)],[615])).
% 3.92/2.78 tff(617,plain,
% 3.92/2.78 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))),
% 3.92/2.78 inference(modus_ponens,[status(thm)],[616, 609])).
% 3.92/2.78 tff(618,plain,
% 3.92/2.78 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s3, c_n1)) | (~m_main_v_state2(s3, c_t2)) | node9(s3) | node8(s3) | node10(s3) | (~node14(s3, s4)) | m_main_v_state2(s4, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s3, c_n1)) | (~m_main_v_state2(s3, c_t2)) | node9(s3) | node8(s3) | node10(s3) | (~node14(s3, s4)) | m_main_v_state2(s4, c_c2))),
% 3.92/2.78 inference(rewrite,[status(thm)],[])).
% 3.92/2.78 tff(619,plain,
% 3.92/2.78 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s3, c_n1)) | (~m_main_v_state2(s3, c_t2)) | node9(s3) | node8(s3) | node10(s3) | (~node14(s3, s4)) | m_main_v_state2(s4, c_c2))),
% 3.92/2.78 inference(quant_inst,[status(thm)],[])).
% 3.92/2.78 tff(620,plain,
% 3.92/2.78 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s3, c_n1)) | (~m_main_v_state2(s3, c_t2)) | node9(s3) | node8(s3) | node10(s3) | (~node14(s3, s4)) | m_main_v_state2(s4, c_c2)),
% 3.92/2.78 inference(modus_ponens,[status(thm)],[619, 618])).
% 3.92/2.78 tff(621,plain,
% 3.92/2.78 ((~m_main_v_state1(s3, c_n1)) | (~m_main_v_state2(s3, c_t2)) | node9(s3) | node8(s3) | node10(s3) | m_main_v_state2(s4, c_c2)),
% 3.92/2.78 inference(unit_resolution,[status(thm)],[620, 617, 607])).
% 3.92/2.78 tff(622,plain,
% 3.92/2.78 (m_main_v_state2(s4, c_c2)),
% 3.92/2.78 inference(unit_resolution,[status(thm)],[621, 596, 592, 532, 508, 504])).
% 3.92/2.78 tff(623,plain,
% 3.92/2.78 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s4, c_t2)) | (~m_main_v_state2(s4, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s4, c_t2)) | (~m_main_v_state2(s4, c_c2)))),
% 3.92/2.78 inference(rewrite,[status(thm)],[])).
% 3.92/2.78 tff(624,plain,
% 3.92/2.78 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s4, c_t2)) | (~m_main_v_state2(s4, c_c2)))),
% 3.92/2.78 inference(quant_inst,[status(thm)],[])).
% 3.92/2.78 tff(625,plain,
% 3.92/2.78 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s4, c_t2)) | (~m_main_v_state2(s4, c_c2))),
% 3.92/2.78 inference(modus_ponens,[status(thm)],[624, 623])).
% 3.92/2.78 tff(626,plain,
% 3.92/2.78 (~m_main_v_state2(s4, c_t2)),
% 3.92/2.78 inference(unit_resolution,[status(thm)],[625, 260, 622])).
% 3.92/2.78 tff(627,plain,
% 3.92/2.78 (^[X: $i] : refl((m_main_v_state2(X, c_t2) | (~node12(X))) <=> (m_main_v_state2(X, c_t2) | (~node12(X))))),
% 3.92/2.78 inference(bind,[status(th)],[])).
% 3.92/2.78 tff(628,plain,
% 3.92/2.78 (![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X))) <=> ![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))),
% 3.92/2.78 inference(quant_intro,[status(thm)],[627])).
% 3.92/2.78 tff(629,plain,
% 3.92/2.78 (![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X))) <=> ![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))),
% 3.92/2.78 inference(rewrite,[status(thm)],[])).
% 3.92/2.78 tff(630,axiom,(![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_43')).
% 3.92/2.78 tff(631,plain,
% 3.92/2.78 (![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))),
% 3.92/2.78 inference(modus_ponens,[status(thm)],[630, 629])).
% 3.92/2.78 tff(632,plain,(
% 3.92/2.78 ![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))),
% 3.92/2.78 inference(skolemize,[status(sab)],[631])).
% 3.92/2.78 tff(633,plain,
% 3.92/2.78 (![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))),
% 3.92/2.78 inference(modus_ponens,[status(thm)],[632, 628])).
% 3.92/2.78 tff(634,plain,
% 3.92/2.78 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s4, c_t2) | (~node12(s4)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s4, c_t2) | (~node12(s4)))),
% 3.92/2.78 inference(rewrite,[status(thm)],[])).
% 3.92/2.78 tff(635,plain,
% 3.92/2.78 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s4, c_t2) | (~node12(s4)))),
% 3.92/2.78 inference(quant_inst,[status(thm)],[])).
% 3.92/2.78 tff(636,plain,
% 3.92/2.78 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s4, c_t2) | (~node12(s4))),
% 3.92/2.78 inference(modus_ponens,[status(thm)],[635, 634])).
% 3.92/2.78 tff(637,plain,
% 3.92/2.78 (~node12(s4)),
% 3.92/2.78 inference(unit_resolution,[status(thm)],[636, 633, 626])).
% 3.92/2.78 tff(638,plain,
% 3.92/2.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s3, s4)) | node7(s3, s4))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s3, s4)) | node7(s3, s4))),
% 3.92/2.78 inference(rewrite,[status(thm)],[])).
% 3.92/2.78 tff(639,plain,
% 3.92/2.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s3, s4)) | node7(s3, s4))),
% 3.92/2.78 inference(quant_inst,[status(thm)],[])).
% 3.92/2.78 tff(640,plain,
% 3.92/2.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s3, s4)) | node7(s3, s4)),
% 3.92/2.78 inference(modus_ponens,[status(thm)],[639, 638])).
% 3.92/2.78 tff(641,plain,
% 3.92/2.78 (node7(s3, s4)),
% 3.92/2.78 inference(unit_resolution,[status(thm)],[640, 206, 603])).
% 3.92/2.78 tff(642,plain,
% 3.92/2.78 (^[Y: $i, X: $i] : refl(((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1)) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1)))),
% 3.92/2.78 inference(bind,[status(th)],[])).
% 3.92/2.78 tff(643,plain,
% 3.92/2.78 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1)) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))),
% 3.92/2.78 inference(quant_intro,[status(thm)],[642])).
% 3.92/2.78 tff(644,plain,
% 3.92/2.78 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1)) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))),
% 3.92/2.78 inference(rewrite,[status(thm)],[])).
% 3.92/2.78 tff(645,plain,
% 3.92/2.78 (^[Y: $i, X: $i] : trans(monotonicity(rewrite((((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2))) | m_main_v_state1(Y, c_t1)) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | m_main_v_state1(Y, c_t1))), (((((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2))) | m_main_v_state1(Y, c_t1)) | (~node7(X, Y))) <=> (((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | m_main_v_state1(Y, c_t1)) | (~node7(X, Y))))), rewrite((((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | m_main_v_state1(Y, c_t1)) | (~node7(X, Y))) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))), (((((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2))) | m_main_v_state1(Y, c_t1)) | (~node7(X, Y))) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))))),
% 3.92/2.78 inference(bind,[status(th)],[])).
% 3.92/2.78 tff(646,plain,
% 3.92/2.78 (![Y: $i, X: $i] : ((((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2))) | m_main_v_state1(Y, c_t1)) | (~node7(X, Y))) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))),
% 3.92/2.78 inference(quant_intro,[status(thm)],[645])).
% 3.92/2.78 tff(647,axiom,(![Y: $i, X: $i] : ((((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2))) | m_main_v_state1(Y, c_t1)) | (~node7(X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_27')).
% 3.92/2.78 tff(648,plain,
% 3.92/2.78 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))),
% 3.92/2.78 inference(modus_ponens,[status(thm)],[647, 646])).
% 3.92/2.78 tff(649,plain,
% 3.92/2.78 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))),
% 3.92/2.78 inference(modus_ponens,[status(thm)],[648, 644])).
% 3.92/2.78 tff(650,plain,(
% 3.92/2.78 ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))),
% 3.92/2.78 inference(skolemize,[status(sab)],[649])).
% 3.92/2.78 tff(651,plain,
% 3.92/2.78 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))),
% 3.92/2.78 inference(modus_ponens,[status(thm)],[650, 643])).
% 3.92/2.78 tff(652,plain,
% 3.92/2.78 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s3, c_n1)) | (~m_main_v_state2(s3, c_t2)) | (~node7(s3, s4)) | m_main_v_state1(s4, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s3, c_n1)) | (~m_main_v_state2(s3, c_t2)) | (~node7(s3, s4)) | m_main_v_state1(s4, c_t1))),
% 3.92/2.78 inference(rewrite,[status(thm)],[])).
% 3.92/2.78 tff(653,plain,
% 3.92/2.78 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s3, c_n1)) | (~m_main_v_state2(s3, c_t2)) | (~node7(s3, s4)) | m_main_v_state1(s4, c_t1))),
% 3.92/2.78 inference(quant_inst,[status(thm)],[])).
% 3.92/2.78 tff(654,plain,
% 3.92/2.78 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s3, c_n1)) | (~m_main_v_state2(s3, c_t2)) | (~node7(s3, s4)) | m_main_v_state1(s4, c_t1)),
% 3.92/2.78 inference(modus_ponens,[status(thm)],[653, 652])).
% 3.92/2.78 tff(655,plain,
% 3.92/2.78 ((~m_main_v_state1(s3, c_n1)) | (~m_main_v_state2(s3, c_t2)) | m_main_v_state1(s4, c_t1)),
% 3.92/2.78 inference(unit_resolution,[status(thm)],[654, 651, 641])).
% 3.92/2.78 tff(656,plain,
% 3.92/2.78 (m_main_v_state1(s4, c_t1)),
% 3.92/2.78 inference(unit_resolution,[status(thm)],[655, 532, 592])).
% 3.92/2.78 tff(657,plain,
% 3.92/2.78 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s4, c_n1)) | (~m_main_v_state1(s4, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s4, c_n1)) | (~m_main_v_state1(s4, c_t1)))),
% 3.92/2.78 inference(rewrite,[status(thm)],[])).
% 3.92/2.78 tff(658,plain,
% 3.92/2.78 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s4, c_n1)) | (~m_main_v_state1(s4, c_t1)))),
% 3.92/2.78 inference(quant_inst,[status(thm)],[])).
% 3.92/2.78 tff(659,plain,
% 3.92/2.78 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s4, c_n1)) | (~m_main_v_state1(s4, c_t1))),
% 3.92/2.78 inference(modus_ponens,[status(thm)],[658, 657])).
% 3.92/2.78 tff(660,plain,
% 3.92/2.78 (~m_main_v_state1(s4, c_n1)),
% 3.92/2.78 inference(unit_resolution,[status(thm)],[659, 10, 656])).
% 3.92/2.78 tff(661,plain,
% 3.92/2.78 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s4, c_n1) | (~node11(s4)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s4, c_n1) | (~node11(s4)))),
% 3.92/2.78 inference(rewrite,[status(thm)],[])).
% 3.92/2.78 tff(662,plain,
% 3.92/2.78 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s4, c_n1) | (~node11(s4)))),
% 3.92/2.78 inference(quant_inst,[status(thm)],[])).
% 3.92/2.78 tff(663,plain,
% 3.92/2.78 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s4, c_n1) | (~node11(s4))),
% 3.92/2.78 inference(modus_ponens,[status(thm)],[662, 661])).
% 3.92/2.78 tff(664,plain,
% 3.92/2.78 (~node11(s4)),
% 3.92/2.78 inference(unit_resolution,[status(thm)],[663, 238, 660])).
% 3.92/2.78 tff(665,plain,
% 3.92/2.78 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s4, c_t1)) | (~m_main_v_state1(s4, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s4, c_t1)) | (~m_main_v_state1(s4, c_c1)))),
% 3.92/2.78 inference(rewrite,[status(thm)],[])).
% 3.92/2.78 tff(666,plain,
% 3.92/2.78 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s4, c_t1)) | (~m_main_v_state1(s4, c_c1)))),
% 3.92/2.78 inference(quant_inst,[status(thm)],[])).
% 3.92/2.78 tff(667,plain,
% 3.92/2.78 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s4, c_t1)) | (~m_main_v_state1(s4, c_c1))),
% 3.92/2.78 inference(modus_ponens,[status(thm)],[666, 665])).
% 3.92/2.78 tff(668,plain,
% 3.92/2.78 (~m_main_v_state1(s4, c_c1)),
% 3.92/2.78 inference(unit_resolution,[status(thm)],[667, 539, 656])).
% 3.92/2.78 tff(669,plain,
% 3.92/2.78 (^[X: $i] : refl((m_main_v_state1(X, c_c1) | (~node10(X))) <=> (m_main_v_state1(X, c_c1) | (~node10(X))))),
% 3.92/2.78 inference(bind,[status(th)],[])).
% 3.92/2.78 tff(670,plain,
% 3.92/2.78 (![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X))) <=> ![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))),
% 3.92/2.78 inference(quant_intro,[status(thm)],[669])).
% 3.92/2.78 tff(671,plain,
% 3.92/2.78 (![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X))) <=> ![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))),
% 3.92/2.78 inference(rewrite,[status(thm)],[])).
% 3.92/2.78 tff(672,axiom,(![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_40')).
% 3.92/2.78 tff(673,plain,
% 3.92/2.78 (![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))),
% 3.92/2.78 inference(modus_ponens,[status(thm)],[672, 671])).
% 3.92/2.78 tff(674,plain,(
% 3.92/2.78 ![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))),
% 3.92/2.78 inference(skolemize,[status(sab)],[673])).
% 3.92/2.78 tff(675,plain,
% 3.92/2.78 (![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))),
% 3.92/2.78 inference(modus_ponens,[status(thm)],[674, 670])).
% 3.92/2.78 tff(676,plain,
% 3.92/2.78 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s4, c_c1) | (~node10(s4)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s4, c_c1) | (~node10(s4)))),
% 3.92/2.78 inference(rewrite,[status(thm)],[])).
% 3.92/2.78 tff(677,plain,
% 3.92/2.78 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s4, c_c1) | (~node10(s4)))),
% 3.92/2.78 inference(quant_inst,[status(thm)],[])).
% 3.92/2.78 tff(678,plain,
% 3.92/2.78 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s4, c_c1) | (~node10(s4))),
% 3.92/2.78 inference(modus_ponens,[status(thm)],[677, 676])).
% 3.92/2.78 tff(679,plain,
% 3.92/2.78 (~node10(s4)),
% 3.92/2.78 inference(unit_resolution,[status(thm)],[678, 675, 668])).
% 3.92/2.78 tff(680,plain,
% 3.92/2.78 (^[X: $i] : refl((m_main_v_state1(X, c_n1) | (~node9(X))) <=> (m_main_v_state1(X, c_n1) | (~node9(X))))),
% 3.92/2.78 inference(bind,[status(th)],[])).
% 3.92/2.78 tff(681,plain,
% 3.92/2.78 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X))) <=> ![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))),
% 3.92/2.78 inference(quant_intro,[status(thm)],[680])).
% 3.92/2.78 tff(682,plain,
% 3.92/2.78 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X))) <=> ![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))),
% 3.92/2.78 inference(rewrite,[status(thm)],[])).
% 3.92/2.78 tff(683,axiom,(![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_38')).
% 3.92/2.78 tff(684,plain,
% 3.92/2.78 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))),
% 3.92/2.78 inference(modus_ponens,[status(thm)],[683, 682])).
% 3.92/2.78 tff(685,plain,(
% 3.92/2.78 ![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))),
% 3.92/2.78 inference(skolemize,[status(sab)],[684])).
% 3.92/2.79 tff(686,plain,
% 3.92/2.79 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))),
% 3.92/2.79 inference(modus_ponens,[status(thm)],[685, 681])).
% 3.92/2.79 tff(687,plain,
% 3.92/2.79 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s4, c_n1) | (~node9(s4)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s4, c_n1) | (~node9(s4)))),
% 3.92/2.79 inference(rewrite,[status(thm)],[])).
% 3.92/2.79 tff(688,plain,
% 3.92/2.79 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s4, c_n1) | (~node9(s4)))),
% 3.92/2.79 inference(quant_inst,[status(thm)],[])).
% 3.92/2.79 tff(689,plain,
% 3.92/2.79 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s4, c_n1) | (~node9(s4))),
% 3.92/2.79 inference(modus_ponens,[status(thm)],[688, 687])).
% 3.92/2.79 tff(690,plain,
% 3.92/2.79 (~node9(s4)),
% 3.92/2.79 inference(unit_resolution,[status(thm)],[689, 686, 660])).
% 3.92/2.79 tff(691,plain,
% 3.92/2.79 (^[X: $i] : refl(((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2))) <=> ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2))))),
% 3.92/2.79 inference(bind,[status(th)],[])).
% 3.92/2.79 tff(692,plain,
% 3.92/2.79 (![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2))) <=> ![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))),
% 3.92/2.79 inference(quant_intro,[status(thm)],[691])).
% 3.92/2.79 tff(693,plain,
% 3.92/2.79 (![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2))) <=> ![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))),
% 3.92/2.79 inference(rewrite,[status(thm)],[])).
% 3.92/2.79 tff(694,axiom,(![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_7')).
% 3.92/2.79 tff(695,plain,
% 3.92/2.79 (![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))),
% 3.92/2.79 inference(modus_ponens,[status(thm)],[694, 693])).
% 3.92/2.79 tff(696,plain,(
% 3.92/2.79 ![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))),
% 3.92/2.79 inference(skolemize,[status(sab)],[695])).
% 3.92/2.79 tff(697,plain,
% 3.92/2.79 (![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))),
% 3.92/2.79 inference(modus_ponens,[status(thm)],[696, 692])).
% 3.92/2.79 tff(698,plain,
% 3.92/2.79 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s4, c_n2)) | (~m_main_v_state2(s4, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s4, c_n2)) | (~m_main_v_state2(s4, c_c2)))),
% 3.92/2.79 inference(rewrite,[status(thm)],[])).
% 3.92/2.79 tff(699,plain,
% 3.92/2.79 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s4, c_n2)) | (~m_main_v_state2(s4, c_c2)))),
% 3.92/2.79 inference(quant_inst,[status(thm)],[])).
% 3.92/2.79 tff(700,plain,
% 3.92/2.79 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s4, c_n2)) | (~m_main_v_state2(s4, c_c2))),
% 3.92/2.79 inference(modus_ponens,[status(thm)],[699, 698])).
% 3.92/2.79 tff(701,plain,
% 3.92/2.79 (~m_main_v_state2(s4, c_n2)),
% 3.92/2.79 inference(unit_resolution,[status(thm)],[700, 697, 622])).
% 3.92/2.79 tff(702,plain,
% 3.92/2.79 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s4, c_n2) | (~node8(s4)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s4, c_n2) | (~node8(s4)))),
% 3.92/2.79 inference(rewrite,[status(thm)],[])).
% 3.92/2.79 tff(703,plain,
% 3.92/2.79 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s4, c_n2) | (~node8(s4)))),
% 3.92/2.79 inference(quant_inst,[status(thm)],[])).
% 3.92/2.79 tff(704,plain,
% 3.92/2.79 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s4, c_n2) | (~node8(s4))),
% 3.92/2.79 inference(modus_ponens,[status(thm)],[703, 702])).
% 3.92/2.79 tff(705,plain,
% 3.92/2.79 (~node8(s4)),
% 3.92/2.79 inference(unit_resolution,[status(thm)],[704, 271, 701])).
% 3.92/2.79 tff(706,plain,
% 3.92/2.79 (succ(s4, s5) <=> succ(s4, s5)),
% 3.92/2.79 inference(rewrite,[status(thm)],[])).
% 3.92/2.79 tff(707,axiom,(succ(s4, s5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound5')).
% 3.92/2.79 tff(708,plain,
% 3.92/2.79 (succ(s4, s5)),
% 3.92/2.79 inference(modus_ponens,[status(thm)],[707, 706])).
% 3.92/2.79 tff(709,plain,
% 3.92/2.79 (((~![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))),
% 3.92/2.79 inference(rewrite,[status(thm)],[])).
% 3.92/2.79 tff(710,plain,
% 3.92/2.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s4, s5)) | trans(s4, s5))),
% 3.92/2.79 inference(quant_inst,[status(thm)],[])).
% 3.92/2.79 tff(711,plain,
% 3.92/2.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s4, s5)) | trans(s4, s5)),
% 3.92/2.79 inference(modus_ponens,[status(thm)],[710, 709])).
% 3.92/2.79 tff(712,plain,
% 3.92/2.79 (trans(s4, s5)),
% 3.92/2.79 inference(unit_resolution,[status(thm)],[711, 708, 32])).
% 3.92/2.79 tff(713,plain,
% 3.92/2.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s4, s5)) | node14(s4, s5))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s4, s5)) | node14(s4, s5))),
% 3.92/2.79 inference(rewrite,[status(thm)],[])).
% 3.92/2.79 tff(714,plain,
% 3.92/2.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s4, s5)) | node14(s4, s5))),
% 3.92/2.79 inference(quant_inst,[status(thm)],[])).
% 3.92/2.79 tff(715,plain,
% 3.92/2.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s4, s5)) | node14(s4, s5)),
% 3.92/2.79 inference(modus_ponens,[status(thm)],[714, 713])).
% 3.92/2.79 tff(716,plain,
% 3.92/2.79 (node14(s4, s5)),
% 3.92/2.79 inference(unit_resolution,[status(thm)],[715, 46, 712])).
% 3.92/2.79 tff(717,plain,
% 3.92/2.79 (^[Y: $i, X: $i] : refl(((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2)) <=> ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2)))),
% 3.92/2.79 inference(bind,[status(th)],[])).
% 3.92/2.79 tff(718,plain,
% 3.92/2.79 (![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2)) <=> ![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))),
% 3.92/2.79 inference(quant_intro,[status(thm)],[717])).
% 3.92/2.79 tff(719,plain,
% 3.92/2.79 (![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2)) <=> ![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))),
% 3.92/2.79 inference(rewrite,[status(thm)],[])).
% 3.92/2.79 tff(720,plain,
% 3.92/2.79 (^[Y: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((node8(X) | node9(X)) | node10(X)) <=> (node9(X) | node8(X) | node10(X))), ((((node8(X) | node9(X)) | node10(X)) | node11(X)) <=> ((node9(X) | node8(X) | node10(X)) | node11(X)))), rewrite(((node9(X) | node8(X) | node10(X)) | node11(X)) <=> (node9(X) | node8(X) | node10(X) | node11(X))), ((((node8(X) | node9(X)) | node10(X)) | node11(X)) <=> (node9(X) | node8(X) | node10(X) | node11(X)))), (((((node8(X) | node9(X)) | node10(X)) | node11(X)) | node12(X)) <=> ((node9(X) | node8(X) | node10(X) | node11(X)) | node12(X)))), rewrite(((node9(X) | node8(X) | node10(X) | node11(X)) | node12(X)) <=> (node9(X) | node8(X) | node10(X) | node11(X) | node12(X))), (((((node8(X) | node9(X)) | node10(X)) | node11(X)) | node12(X)) <=> (node9(X) | node8(X) | node10(X) | node11(X) | node12(X)))), ((((((node8(X) | node9(X)) | node10(X)) | node11(X)) | node12(X)) | (~m_main_v_state2(X, c_c2))) <=> ((node9(X) | node8(X) | node10(X) | node11(X) | node12(X)) | (~m_main_v_state2(X, c_c2))))), rewrite(((node9(X) | node8(X) | node10(X) | node11(X) | node12(X)) | (~m_main_v_state2(X, c_c2))) <=> ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X))), ((((((node8(X) | node9(X)) | node10(X)) | node11(X)) | node12(X)) | (~m_main_v_state2(X, c_c2))) <=> ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X)))), (((((((node8(X) | node9(X)) | node10(X)) | node11(X)) | node12(X)) | (~m_main_v_state2(X, c_c2))) | m_main_v_state2(Y, c_n2)) <=> (((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X)) | m_main_v_state2(Y, c_n2)))), rewrite((((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X)) | m_main_v_state2(Y, c_n2)) <=> ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | m_main_v_state2(Y, c_n2))), (((((((node8(X) | node9(X)) | node10(X)) | node11(X)) | node12(X)) | (~m_main_v_state2(X, c_c2))) | m_main_v_state2(Y, c_n2)) <=> ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | m_main_v_state2(Y, c_n2)))), ((((((((node8(X) | node9(X)) | node10(X)) | node11(X)) | node12(X)) | (~m_main_v_state2(X, c_c2))) | m_main_v_state2(Y, c_n2)) | (~node14(X, Y))) <=> (((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | m_main_v_state2(Y, c_n2)) | (~node14(X, Y))))), rewrite((((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | m_main_v_state2(Y, c_n2)) | (~node14(X, Y))) <=> ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))), ((((((((node8(X) | node9(X)) | node10(X)) | node11(X)) | node12(X)) | (~m_main_v_state2(X, c_c2))) | m_main_v_state2(Y, c_n2)) | (~node14(X, Y))) <=> ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))))),
% 3.92/2.79 inference(bind,[status(th)],[])).
% 3.92/2.79 tff(721,plain,
% 3.92/2.79 (![Y: $i, X: $i] : (((((((node8(X) | node9(X)) | node10(X)) | node11(X)) | node12(X)) | (~m_main_v_state2(X, c_c2))) | m_main_v_state2(Y, c_n2)) | (~node14(X, Y))) <=> ![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))),
% 3.92/2.79 inference(quant_intro,[status(thm)],[720])).
% 3.92/2.79 tff(722,axiom,(![Y: $i, X: $i] : (((((((node8(X) | node9(X)) | node10(X)) | node11(X)) | node12(X)) | (~m_main_v_state2(X, c_c2))) | m_main_v_state2(Y, c_n2)) | (~node14(X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_53')).
% 3.92/2.79 tff(723,plain,
% 3.92/2.79 (![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))),
% 3.92/2.79 inference(modus_ponens,[status(thm)],[722, 721])).
% 3.92/2.79 tff(724,plain,
% 3.92/2.79 (![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))),
% 3.92/2.79 inference(modus_ponens,[status(thm)],[723, 719])).
% 3.92/2.79 tff(725,plain,(
% 3.92/2.79 ![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))),
% 3.92/2.79 inference(skolemize,[status(sab)],[724])).
% 3.92/2.79 tff(726,plain,
% 3.92/2.79 (![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))),
% 3.92/2.79 inference(modus_ponens,[status(thm)],[725, 718])).
% 3.92/2.79 tff(727,plain,
% 3.92/2.79 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s5, c_n2) | node9(s4) | node8(s4) | node10(s4) | node11(s4) | node12(s4) | (~node14(s4, s5)) | (~m_main_v_state2(s4, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s5, c_n2) | node9(s4) | node8(s4) | node10(s4) | node11(s4) | node12(s4) | (~node14(s4, s5)) | (~m_main_v_state2(s4, c_c2)))),
% 3.92/2.79 inference(rewrite,[status(thm)],[])).
% 3.92/2.79 tff(728,plain,
% 3.92/2.79 (((~m_main_v_state2(s4, c_c2)) | node9(s4) | node8(s4) | node10(s4) | node11(s4) | node12(s4) | (~node14(s4, s5)) | m_main_v_state2(s5, c_n2)) <=> (m_main_v_state2(s5, c_n2) | node9(s4) | node8(s4) | node10(s4) | node11(s4) | node12(s4) | (~node14(s4, s5)) | (~m_main_v_state2(s4, c_c2)))),
% 3.92/2.79 inference(rewrite,[status(thm)],[])).
% 3.92/2.79 tff(729,plain,
% 3.92/2.79 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s4, c_c2)) | node9(s4) | node8(s4) | node10(s4) | node11(s4) | node12(s4) | (~node14(s4, s5)) | m_main_v_state2(s5, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s5, c_n2) | node9(s4) | node8(s4) | node10(s4) | node11(s4) | node12(s4) | (~node14(s4, s5)) | (~m_main_v_state2(s4, c_c2))))),
% 3.92/2.79 inference(monotonicity,[status(thm)],[728])).
% 3.92/2.79 tff(730,plain,
% 3.92/2.79 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s4, c_c2)) | node9(s4) | node8(s4) | node10(s4) | node11(s4) | node12(s4) | (~node14(s4, s5)) | m_main_v_state2(s5, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s5, c_n2) | node9(s4) | node8(s4) | node10(s4) | node11(s4) | node12(s4) | (~node14(s4, s5)) | (~m_main_v_state2(s4, c_c2)))),
% 3.92/2.79 inference(transitivity,[status(thm)],[729, 727])).
% 3.92/2.79 tff(731,plain,
% 3.92/2.79 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s4, c_c2)) | node9(s4) | node8(s4) | node10(s4) | node11(s4) | node12(s4) | (~node14(s4, s5)) | m_main_v_state2(s5, c_n2))),
% 3.92/2.79 inference(quant_inst,[status(thm)],[])).
% 3.92/2.79 tff(732,plain,
% 3.92/2.79 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s5, c_n2) | node9(s4) | node8(s4) | node10(s4) | node11(s4) | node12(s4) | (~node14(s4, s5)) | (~m_main_v_state2(s4, c_c2))),
% 3.92/2.79 inference(modus_ponens,[status(thm)],[731, 730])).
% 3.92/2.79 tff(733,plain,
% 3.92/2.79 (m_main_v_state2(s5, c_n2) | node9(s4) | node8(s4) | node10(s4) | node11(s4) | node12(s4) | (~m_main_v_state2(s4, c_c2))),
% 3.92/2.79 inference(unit_resolution,[status(thm)],[732, 726, 716])).
% 3.92/2.79 tff(734,plain,
% 3.92/2.79 (m_main_v_state2(s5, c_n2)),
% 3.92/2.79 inference(unit_resolution,[status(thm)],[733, 705, 622, 690, 679, 664, 637])).
% 3.92/2.79 tff(735,plain,
% 3.92/2.79 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s5, c_n2)) | (~m_main_v_state2(s5, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s5, c_n2)) | (~m_main_v_state2(s5, c_c2)))),
% 3.92/2.79 inference(rewrite,[status(thm)],[])).
% 3.92/2.79 tff(736,plain,
% 3.92/2.79 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s5, c_n2)) | (~m_main_v_state2(s5, c_c2)))),
% 3.92/2.79 inference(quant_inst,[status(thm)],[])).
% 3.92/2.79 tff(737,plain,
% 3.92/2.79 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s5, c_n2)) | (~m_main_v_state2(s5, c_c2))),
% 3.92/2.79 inference(modus_ponens,[status(thm)],[736, 735])).
% 3.92/2.79 tff(738,plain,
% 3.92/2.79 (~m_main_v_state2(s5, c_c2)),
% 3.92/2.79 inference(unit_resolution,[status(thm)],[737, 697, 734])).
% 3.92/2.79 tff(739,plain,
% 3.92/2.79 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s5, c_c2) | (~node3(s5)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s5, c_c2) | (~node3(s5)))),
% 3.92/2.79 inference(rewrite,[status(thm)],[])).
% 3.92/2.79 tff(740,plain,
% 3.92/2.79 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s5, c_c2) | (~node3(s5)))),
% 3.92/2.79 inference(quant_inst,[status(thm)],[])).
% 3.92/2.79 tff(741,plain,
% 3.92/2.79 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s5, c_c2) | (~node3(s5))),
% 3.92/2.79 inference(modus_ponens,[status(thm)],[740, 739])).
% 3.92/2.79 tff(742,plain,
% 3.92/2.79 (~node3(s5)),
% 3.92/2.79 inference(unit_resolution,[status(thm)],[741, 399, 738])).
% 3.92/2.79 tff(743,plain,
% 3.92/2.79 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s4, c_n1) | (~node1(s4)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s4, c_n1) | (~node1(s4)))),
% 3.92/2.79 inference(rewrite,[status(thm)],[])).
% 3.92/2.79 tff(744,plain,
% 3.92/2.79 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s4, c_n1) | (~node1(s4)))),
% 3.92/2.79 inference(quant_inst,[status(thm)],[])).
% 3.92/2.79 tff(745,plain,
% 3.92/2.79 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s4, c_n1) | (~node1(s4))),
% 3.92/2.79 inference(modus_ponens,[status(thm)],[744, 743])).
% 3.92/2.79 tff(746,plain,
% 3.92/2.79 (~node1(s4)),
% 3.92/2.79 inference(unit_resolution,[status(thm)],[745, 421, 660])).
% 3.92/2.79 tff(747,plain,
% 3.92/2.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s3, s4)) | node18(s3, s4))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s3, s4)) | node18(s3, s4))),
% 3.92/2.79 inference(rewrite,[status(thm)],[])).
% 3.92/2.79 tff(748,plain,
% 3.92/2.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s3, s4)) | node18(s3, s4))),
% 3.92/2.79 inference(quant_inst,[status(thm)],[])).
% 3.92/2.79 tff(749,plain,
% 3.92/2.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s3, s4)) | node18(s3, s4)),
% 3.92/2.79 inference(modus_ponens,[status(thm)],[748, 747])).
% 3.92/2.79 tff(750,plain,
% 3.92/2.79 (node18(s3, s4)),
% 3.92/2.79 inference(unit_resolution,[status(thm)],[749, 125, 603])).
% 3.92/2.79 tff(751,plain,
% 3.92/2.79 (^[Y: $i, X: $i] : refl(((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2)) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2)))),
% 3.92/2.79 inference(bind,[status(th)],[])).
% 3.92/2.79 tff(752,plain,
% 3.92/2.79 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2)) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))),
% 3.92/2.79 inference(quant_intro,[status(thm)],[751])).
% 3.92/2.79 tff(753,plain,
% 3.92/2.79 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2)) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))),
% 3.92/2.79 inference(rewrite,[status(thm)],[])).
% 3.92/2.79 tff(754,plain,
% 3.92/2.79 (^[Y: $i, X: $i] : trans(monotonicity(rewrite((((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2))) | m_main_v_turn(Y, c_2)) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | m_main_v_turn(Y, c_2))), (((((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2))) | m_main_v_turn(Y, c_2)) | (~node18(X, Y))) <=> (((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | m_main_v_turn(Y, c_2)) | (~node18(X, Y))))), rewrite((((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | m_main_v_turn(Y, c_2)) | (~node18(X, Y))) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))), (((((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2))) | m_main_v_turn(Y, c_2)) | (~node18(X, Y))) <=> ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))))),
% 3.92/2.79 inference(bind,[status(th)],[])).
% 3.92/2.79 tff(755,plain,
% 3.92/2.79 (![Y: $i, X: $i] : ((((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2))) | m_main_v_turn(Y, c_2)) | (~node18(X, Y))) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))),
% 3.92/2.79 inference(quant_intro,[status(thm)],[754])).
% 3.92/2.79 tff(756,axiom,(![Y: $i, X: $i] : ((((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2))) | m_main_v_turn(Y, c_2)) | (~node18(X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_62')).
% 3.92/2.79 tff(757,plain,
% 3.92/2.79 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))),
% 3.92/2.79 inference(modus_ponens,[status(thm)],[756, 755])).
% 3.92/2.79 tff(758,plain,
% 3.92/2.79 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))),
% 3.92/2.79 inference(modus_ponens,[status(thm)],[757, 753])).
% 3.92/2.79 tff(759,plain,(
% 3.92/2.79 ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))),
% 3.92/2.79 inference(skolemize,[status(sab)],[758])).
% 3.92/2.79 tff(760,plain,
% 3.92/2.79 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))),
% 3.92/2.79 inference(modus_ponens,[status(thm)],[759, 752])).
% 3.92/2.79 tff(761,plain,
% 3.92/2.79 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s3, c_n1)) | (~m_main_v_state2(s3, c_t2)) | (~node18(s3, s4)) | m_main_v_turn(s4, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s3, c_n1)) | (~m_main_v_state2(s3, c_t2)) | (~node18(s3, s4)) | m_main_v_turn(s4, c_2))),
% 3.92/2.79 inference(rewrite,[status(thm)],[])).
% 3.92/2.79 tff(762,plain,
% 3.92/2.79 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s3, c_n1)) | (~m_main_v_state2(s3, c_t2)) | (~node18(s3, s4)) | m_main_v_turn(s4, c_2))),
% 3.92/2.79 inference(quant_inst,[status(thm)],[])).
% 3.92/2.79 tff(763,plain,
% 3.92/2.79 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s3, c_n1)) | (~m_main_v_state2(s3, c_t2)) | (~node18(s3, s4)) | m_main_v_turn(s4, c_2)),
% 3.92/2.79 inference(modus_ponens,[status(thm)],[762, 761])).
% 3.92/2.79 tff(764,plain,
% 3.92/2.79 ((~m_main_v_state1(s3, c_n1)) | (~m_main_v_state2(s3, c_t2)) | m_main_v_turn(s4, c_2)),
% 3.92/2.79 inference(unit_resolution,[status(thm)],[763, 760, 750])).
% 3.92/2.79 tff(765,plain,
% 3.92/2.79 (m_main_v_turn(s4, c_2)),
% 3.92/2.79 inference(unit_resolution,[status(thm)],[764, 532, 592])).
% 3.92/2.79 tff(766,plain,
% 3.92/2.79 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s4, c_1)) | (~m_main_v_turn(s4, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s4, c_1)) | (~m_main_v_turn(s4, c_2)))),
% 3.92/2.79 inference(rewrite,[status(thm)],[])).
% 3.92/2.79 tff(767,plain,
% 3.92/2.79 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s4, c_1)) | (~m_main_v_turn(s4, c_2)))),
% 3.92/2.79 inference(quant_inst,[status(thm)],[])).
% 3.92/2.79 tff(768,plain,
% 3.92/2.79 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s4, c_1)) | (~m_main_v_turn(s4, c_2))),
% 3.92/2.79 inference(modus_ponens,[status(thm)],[767, 766])).
% 3.92/2.79 tff(769,plain,
% 3.92/2.79 (~m_main_v_turn(s4, c_1)),
% 3.92/2.79 inference(unit_resolution,[status(thm)],[768, 156, 765])).
% 3.92/2.79 tff(770,plain,
% 3.92/2.79 (^[X: $i] : refl((m_main_v_turn(X, c_1) | (~node5(X))) <=> (m_main_v_turn(X, c_1) | (~node5(X))))),
% 3.92/2.79 inference(bind,[status(th)],[])).
% 3.92/2.79 tff(771,plain,
% 3.92/2.79 (![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X))) <=> ![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))),
% 3.92/2.79 inference(quant_intro,[status(thm)],[770])).
% 3.92/2.79 tff(772,plain,
% 3.92/2.79 (![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X))) <=> ![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))),
% 3.92/2.79 inference(rewrite,[status(thm)],[])).
% 3.92/2.79 tff(773,axiom,(![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_24')).
% 3.92/2.79 tff(774,plain,
% 3.92/2.79 (![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))),
% 3.92/2.79 inference(modus_ponens,[status(thm)],[773, 772])).
% 3.92/2.79 tff(775,plain,(
% 3.92/2.79 ![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))),
% 3.92/2.79 inference(skolemize,[status(sab)],[774])).
% 3.92/2.79 tff(776,plain,
% 3.92/2.79 (![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))),
% 3.92/2.79 inference(modus_ponens,[status(thm)],[775, 771])).
% 3.92/2.79 tff(777,plain,
% 3.92/2.79 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s4, c_1) | (~node5(s4)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s4, c_1) | (~node5(s4)))),
% 3.92/2.79 inference(rewrite,[status(thm)],[])).
% 3.92/2.79 tff(778,plain,
% 3.92/2.79 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s4, c_1) | (~node5(s4)))),
% 3.92/2.79 inference(quant_inst,[status(thm)],[])).
% 3.92/2.79 tff(779,plain,
% 3.92/2.79 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s4, c_1) | (~node5(s4))),
% 3.92/2.79 inference(modus_ponens,[status(thm)],[778, 777])).
% 3.92/2.79 tff(780,plain,
% 3.92/2.79 (~node5(s4)),
% 3.92/2.79 inference(unit_resolution,[status(thm)],[779, 776, 769])).
% 3.92/2.79 tff(781,plain,
% 3.92/2.79 (^[X: $i] : refl((m_main_v_state1(X, c_n1) | (~node2(X))) <=> (m_main_v_state1(X, c_n1) | (~node2(X))))),
% 3.92/2.79 inference(bind,[status(th)],[])).
% 3.92/2.79 tff(782,plain,
% 3.92/2.79 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X))) <=> ![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))),
% 3.92/2.79 inference(quant_intro,[status(thm)],[781])).
% 3.92/2.79 tff(783,plain,
% 3.92/2.79 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X))) <=> ![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))),
% 3.92/2.79 inference(rewrite,[status(thm)],[])).
% 3.92/2.79 tff(784,axiom,(![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_16')).
% 3.92/2.79 tff(785,plain,
% 3.92/2.79 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))),
% 3.92/2.79 inference(modus_ponens,[status(thm)],[784, 783])).
% 3.92/2.79 tff(786,plain,(
% 3.92/2.79 ![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))),
% 3.92/2.79 inference(skolemize,[status(sab)],[785])).
% 3.92/2.79 tff(787,plain,
% 3.92/2.79 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))),
% 3.92/2.79 inference(modus_ponens,[status(thm)],[786, 782])).
% 3.92/2.79 tff(788,plain,
% 3.92/2.79 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s4, c_n1) | (~node2(s4)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s4, c_n1) | (~node2(s4)))),
% 3.92/2.79 inference(rewrite,[status(thm)],[])).
% 3.92/2.79 tff(789,plain,
% 3.92/2.79 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s4, c_n1) | (~node2(s4)))),
% 3.92/2.79 inference(quant_inst,[status(thm)],[])).
% 3.92/2.79 tff(790,plain,
% 3.92/2.79 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s4, c_n1) | (~node2(s4))),
% 3.92/2.79 inference(modus_ponens,[status(thm)],[789, 788])).
% 3.92/2.79 tff(791,plain,
% 3.92/2.79 (~node2(s4)),
% 3.92/2.79 inference(unit_resolution,[status(thm)],[790, 787, 660])).
% 3.92/2.79 tff(792,plain,
% 3.92/2.79 (^[X: $i] : refl((m_main_v_state1(X, c_n1) | (~node3(X))) <=> (m_main_v_state1(X, c_n1) | (~node3(X))))),
% 3.92/2.79 inference(bind,[status(th)],[])).
% 3.92/2.79 tff(793,plain,
% 3.92/2.79 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X))) <=> ![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))),
% 3.92/2.79 inference(quant_intro,[status(thm)],[792])).
% 3.92/2.79 tff(794,plain,
% 3.92/2.79 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X))) <=> ![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))),
% 3.92/2.79 inference(rewrite,[status(thm)],[])).
% 3.92/2.79 tff(795,axiom,(![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_18')).
% 3.92/2.79 tff(796,plain,
% 3.92/2.79 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))),
% 3.92/2.79 inference(modus_ponens,[status(thm)],[795, 794])).
% 3.92/2.79 tff(797,plain,(
% 3.92/2.79 ![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))),
% 3.92/2.79 inference(skolemize,[status(sab)],[796])).
% 3.92/2.79 tff(798,plain,
% 3.92/2.79 (![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))),
% 3.92/2.79 inference(modus_ponens,[status(thm)],[797, 793])).
% 3.92/2.79 tff(799,plain,
% 3.92/2.79 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s4, c_n1) | (~node3(s4)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s4, c_n1) | (~node3(s4)))),
% 3.92/2.79 inference(rewrite,[status(thm)],[])).
% 3.92/2.79 tff(800,plain,
% 3.92/2.79 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s4, c_n1) | (~node3(s4)))),
% 3.92/2.79 inference(quant_inst,[status(thm)],[])).
% 3.92/2.79 tff(801,plain,
% 3.92/2.79 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s4, c_n1) | (~node3(s4))),
% 3.92/2.79 inference(modus_ponens,[status(thm)],[800, 799])).
% 3.92/2.79 tff(802,plain,
% 3.92/2.79 (~node3(s4)),
% 3.92/2.79 inference(unit_resolution,[status(thm)],[801, 798, 660])).
% 3.92/2.79 tff(803,plain,
% 3.92/2.79 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s4, c_n2) | (~node4(s4)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s4, c_n2) | (~node4(s4)))),
% 3.92/2.79 inference(rewrite,[status(thm)],[])).
% 3.92/2.79 tff(804,plain,
% 3.92/2.79 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s4, c_n2) | (~node4(s4)))),
% 3.92/2.79 inference(quant_inst,[status(thm)],[])).
% 3.92/2.79 tff(805,plain,
% 3.92/2.79 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s4, c_n2) | (~node4(s4))),
% 3.92/2.79 inference(modus_ponens,[status(thm)],[804, 803])).
% 3.92/2.79 tff(806,plain,
% 3.92/2.79 (~node4(s4)),
% 3.92/2.79 inference(unit_resolution,[status(thm)],[805, 388, 701])).
% 3.92/2.79 tff(807,plain,
% 3.92/2.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s4, s5)) | node7(s4, s5))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s4, s5)) | node7(s4, s5))),
% 3.92/2.79 inference(rewrite,[status(thm)],[])).
% 3.92/2.79 tff(808,plain,
% 3.92/2.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s4, s5)) | node7(s4, s5))),
% 3.92/2.79 inference(quant_inst,[status(thm)],[])).
% 3.92/2.79 tff(809,plain,
% 3.92/2.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s4, s5)) | node7(s4, s5)),
% 3.92/2.79 inference(modus_ponens,[status(thm)],[808, 807])).
% 3.92/2.79 tff(810,plain,
% 3.92/2.79 (node7(s4, s5)),
% 3.92/2.79 inference(unit_resolution,[status(thm)],[809, 206, 712])).
% 3.92/2.79 tff(811,plain,
% 3.92/2.79 (^[Y: $i, X: $i] : refl((m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y))) <=> (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y))))),
% 3.92/2.79 inference(bind,[status(th)],[])).
% 3.92/2.79 tff(812,plain,
% 3.92/2.79 (![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y))) <=> ![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))),
% 3.92/2.79 inference(quant_intro,[status(thm)],[811])).
% 3.92/2.79 tff(813,plain,
% 3.92/2.79 (![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y))) <=> ![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))),
% 3.92/2.79 inference(rewrite,[status(thm)],[])).
% 3.92/2.79 tff(814,plain,
% 3.92/2.79 (^[Y: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((node1(X) | node2(X)) | node3(X)) <=> (node1(X) | node2(X) | node3(X))), ((((node1(X) | node2(X)) | node3(X)) | node4(X)) <=> ((node1(X) | node2(X) | node3(X)) | node4(X)))), rewrite(((node1(X) | node2(X) | node3(X)) | node4(X)) <=> (node1(X) | node2(X) | node3(X) | node4(X))), ((((node1(X) | node2(X)) | node3(X)) | node4(X)) <=> (node1(X) | node2(X) | node3(X) | node4(X)))), (((((node1(X) | node2(X)) | node3(X)) | node4(X)) | node5(X)) <=> ((node1(X) | node2(X) | node3(X) | node4(X)) | node5(X)))), rewrite(((node1(X) | node2(X) | node3(X) | node4(X)) | node5(X)) <=> (node1(X) | node2(X) | node3(X) | node4(X) | node5(X))), (((((node1(X) | node2(X)) | node3(X)) | node4(X)) | node5(X)) <=> (node1(X) | node2(X) | node3(X) | node4(X) | node5(X)))), ((((((node1(X) | node2(X)) | node3(X)) | node4(X)) | node5(X)) | m_main_v_state1(X, c_c1)) <=> ((node1(X) | node2(X) | node3(X) | node4(X) | node5(X)) | m_main_v_state1(X, c_c1)))), rewrite(((node1(X) | node2(X) | node3(X) | node4(X) | node5(X)) | m_main_v_state1(X, c_c1)) <=> (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X))), ((((((node1(X) | node2(X)) | node3(X)) | node4(X)) | node5(X)) | m_main_v_state1(X, c_c1)) <=> (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X)))), (((((((node1(X) | node2(X)) | node3(X)) | node4(X)) | node5(X)) | m_main_v_state1(X, c_c1)) | node6(X, Y)) <=> ((m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X)) | node6(X, Y)))), rewrite(((m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X)) | node6(X, Y)) <=> (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y))), (((((((node1(X) | node2(X)) | node3(X)) | node4(X)) | node5(X)) | m_main_v_state1(X, c_c1)) | node6(X, Y)) <=> (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y)))), ((((((((node1(X) | node2(X)) | node3(X)) | node4(X)) | node5(X)) | m_main_v_state1(X, c_c1)) | node6(X, Y)) | (~node7(X, Y))) <=> ((m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y)) | (~node7(X, Y))))), rewrite(((m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y)) | (~node7(X, Y))) <=> (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))), ((((((((node1(X) | node2(X)) | node3(X)) | node4(X)) | node5(X)) | m_main_v_state1(X, c_c1)) | node6(X, Y)) | (~node7(X, Y))) <=> (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))))),
% 3.92/2.79 inference(bind,[status(th)],[])).
% 3.92/2.79 tff(815,plain,
% 3.92/2.79 (![Y: $i, X: $i] : (((((((node1(X) | node2(X)) | node3(X)) | node4(X)) | node5(X)) | m_main_v_state1(X, c_c1)) | node6(X, Y)) | (~node7(X, Y))) <=> ![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))),
% 3.92/2.79 inference(quant_intro,[status(thm)],[814])).
% 3.92/2.79 tff(816,axiom,(![Y: $i, X: $i] : (((((((node1(X) | node2(X)) | node3(X)) | node4(X)) | node5(X)) | m_main_v_state1(X, c_c1)) | node6(X, Y)) | (~node7(X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_33')).
% 3.92/2.79 tff(817,plain,
% 3.92/2.79 (![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))),
% 3.92/2.79 inference(modus_ponens,[status(thm)],[816, 815])).
% 3.92/2.79 tff(818,plain,
% 3.92/2.79 (![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))),
% 3.92/2.79 inference(modus_ponens,[status(thm)],[817, 813])).
% 3.92/2.79 tff(819,plain,(
% 3.92/2.79 ![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))),
% 3.92/2.79 inference(skolemize,[status(sab)],[818])).
% 3.92/2.79 tff(820,plain,
% 3.92/2.79 (![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))),
% 3.92/2.79 inference(modus_ponens,[status(thm)],[819, 812])).
% 3.92/2.79 tff(821,plain,
% 3.92/2.79 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s4, c_c1) | node1(s4) | node2(s4) | node3(s4) | node4(s4) | node5(s4) | node6(s4, s5) | (~node7(s4, s5)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s4, c_c1) | node1(s4) | node2(s4) | node3(s4) | node4(s4) | node5(s4) | node6(s4, s5) | (~node7(s4, s5)))),
% 3.92/2.80 inference(rewrite,[status(thm)],[])).
% 3.92/2.80 tff(822,plain,
% 3.92/2.80 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s4, c_c1) | node1(s4) | node2(s4) | node3(s4) | node4(s4) | node5(s4) | node6(s4, s5) | (~node7(s4, s5)))),
% 3.92/2.80 inference(quant_inst,[status(thm)],[])).
% 3.92/2.80 tff(823,plain,
% 3.92/2.80 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s4, c_c1) | node1(s4) | node2(s4) | node3(s4) | node4(s4) | node5(s4) | node6(s4, s5) | (~node7(s4, s5))),
% 3.92/2.80 inference(modus_ponens,[status(thm)],[822, 821])).
% 3.92/2.80 tff(824,plain,
% 3.92/2.80 (m_main_v_state1(s4, c_c1) | node1(s4) | node2(s4) | node3(s4) | node4(s4) | node5(s4) | node6(s4, s5)),
% 3.92/2.80 inference(unit_resolution,[status(thm)],[823, 820, 810])).
% 3.92/2.80 tff(825,plain,
% 3.92/2.80 (node6(s4, s5)),
% 3.92/2.80 inference(unit_resolution,[status(thm)],[824, 806, 668, 802, 791, 780, 746])).
% 3.92/2.80 tff(826,plain,
% 3.92/2.80 (^[V: $i, Y: $i, X: $i] : refl(((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V))) <=> ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V))))),
% 3.92/2.80 inference(bind,[status(th)],[])).
% 3.92/2.80 tff(827,plain,
% 3.92/2.80 (![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V))) <=> ![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))),
% 3.92/2.80 inference(quant_intro,[status(thm)],[826])).
% 3.92/2.80 tff(828,plain,
% 3.92/2.80 (![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V))) <=> ![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))),
% 3.92/2.80 inference(rewrite,[status(thm)],[])).
% 3.92/2.80 tff(829,plain,
% 3.92/2.80 (^[V: $i, Y: $i, X: $i] : rewrite((((~m_main_v_state1(Y, V)) | m_main_v_state1(X, V)) | (~node6(X, Y))) <=> ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V))))),
% 3.92/2.80 inference(bind,[status(th)],[])).
% 3.92/2.80 tff(830,plain,
% 3.92/2.80 (![V: $i, Y: $i, X: $i] : (((~m_main_v_state1(Y, V)) | m_main_v_state1(X, V)) | (~node6(X, Y))) <=> ![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))),
% 3.92/2.80 inference(quant_intro,[status(thm)],[829])).
% 3.92/2.80 tff(831,axiom,(![V: $i, Y: $i, X: $i] : (((~m_main_v_state1(Y, V)) | m_main_v_state1(X, V)) | (~node6(X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_26')).
% 3.92/2.80 tff(832,plain,
% 3.92/2.80 (![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))),
% 3.92/2.80 inference(modus_ponens,[status(thm)],[831, 830])).
% 3.92/2.80 tff(833,plain,
% 3.92/2.80 (![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))),
% 3.92/2.80 inference(modus_ponens,[status(thm)],[832, 828])).
% 3.92/2.80 tff(834,plain,(
% 3.92/2.80 ![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))),
% 3.92/2.80 inference(skolemize,[status(sab)],[833])).
% 3.92/2.80 tff(835,plain,
% 3.92/2.80 (![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))),
% 3.92/2.80 inference(modus_ponens,[status(thm)],[834, 827])).
% 3.92/2.80 tff(836,plain,
% 3.92/2.80 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s4, c_n1) | (~m_main_v_state1(s5, c_n1)) | (~node6(s4, s5)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s4, c_n1) | (~m_main_v_state1(s5, c_n1)) | (~node6(s4, s5)))),
% 3.92/2.80 inference(rewrite,[status(thm)],[])).
% 3.92/2.80 tff(837,plain,
% 3.92/2.80 (((~node6(s4, s5)) | m_main_v_state1(s4, c_n1) | (~m_main_v_state1(s5, c_n1))) <=> (m_main_v_state1(s4, c_n1) | (~m_main_v_state1(s5, c_n1)) | (~node6(s4, s5)))),
% 3.92/2.80 inference(rewrite,[status(thm)],[])).
% 3.92/2.80 tff(838,plain,
% 3.92/2.80 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s4, s5)) | m_main_v_state1(s4, c_n1) | (~m_main_v_state1(s5, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s4, c_n1) | (~m_main_v_state1(s5, c_n1)) | (~node6(s4, s5))))),
% 3.92/2.80 inference(monotonicity,[status(thm)],[837])).
% 3.92/2.80 tff(839,plain,
% 3.92/2.80 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s4, s5)) | m_main_v_state1(s4, c_n1) | (~m_main_v_state1(s5, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s4, c_n1) | (~m_main_v_state1(s5, c_n1)) | (~node6(s4, s5)))),
% 3.92/2.80 inference(transitivity,[status(thm)],[838, 836])).
% 3.92/2.80 tff(840,plain,
% 3.92/2.80 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s4, s5)) | m_main_v_state1(s4, c_n1) | (~m_main_v_state1(s5, c_n1)))),
% 3.92/2.80 inference(quant_inst,[status(thm)],[])).
% 3.92/2.80 tff(841,plain,
% 3.92/2.80 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s4, c_n1) | (~m_main_v_state1(s5, c_n1)) | (~node6(s4, s5))),
% 3.92/2.80 inference(modus_ponens,[status(thm)],[840, 839])).
% 3.92/2.80 tff(842,plain,
% 3.92/2.80 (~m_main_v_state1(s5, c_n1)),
% 3.92/2.80 inference(unit_resolution,[status(thm)],[841, 835, 660, 825])).
% 3.92/2.80 tff(843,plain,
% 3.92/2.80 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s5, c_n1) | (~node2(s5)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s5, c_n1) | (~node2(s5)))),
% 3.92/2.80 inference(rewrite,[status(thm)],[])).
% 3.92/2.80 tff(844,plain,
% 3.92/2.80 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s5, c_n1) | (~node2(s5)))),
% 3.92/2.80 inference(quant_inst,[status(thm)],[])).
% 3.92/2.80 tff(845,plain,
% 3.92/2.80 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s5, c_n1) | (~node2(s5))),
% 3.92/2.80 inference(modus_ponens,[status(thm)],[844, 843])).
% 3.92/2.80 tff(846,plain,
% 3.92/2.80 (~node2(s5)),
% 3.92/2.80 inference(unit_resolution,[status(thm)],[845, 787, 842])).
% 3.92/2.80 tff(847,plain,
% 3.92/2.80 (^[V: $i, Y: $i, X: $i] : refl(((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V)) <=> ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V)))),
% 3.92/2.80 inference(bind,[status(th)],[])).
% 3.92/2.80 tff(848,plain,
% 3.92/2.80 (![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V)) <=> ![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))),
% 3.92/2.80 inference(quant_intro,[status(thm)],[847])).
% 3.92/2.80 tff(849,plain,
% 3.92/2.80 (![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V)) <=> ![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))),
% 3.92/2.80 inference(rewrite,[status(thm)],[])).
% 3.92/2.80 tff(850,plain,
% 3.92/2.80 (^[V: $i, Y: $i, X: $i] : trans(monotonicity(rewrite((m_main_v_state1(Y, V) | (~m_main_v_state1(X, V))) <=> ((~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))), (((m_main_v_state1(Y, V) | (~m_main_v_state1(X, V))) | (~node6(X, Y))) <=> (((~m_main_v_state1(X, V)) | m_main_v_state1(Y, V)) | (~node6(X, Y))))), rewrite((((~m_main_v_state1(X, V)) | m_main_v_state1(Y, V)) | (~node6(X, Y))) <=> ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))), (((m_main_v_state1(Y, V) | (~m_main_v_state1(X, V))) | (~node6(X, Y))) <=> ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))))),
% 3.92/2.80 inference(bind,[status(th)],[])).
% 3.92/2.80 tff(851,plain,
% 3.92/2.80 (![V: $i, Y: $i, X: $i] : ((m_main_v_state1(Y, V) | (~m_main_v_state1(X, V))) | (~node6(X, Y))) <=> ![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))),
% 3.92/2.80 inference(quant_intro,[status(thm)],[850])).
% 3.92/2.80 tff(852,axiom,(![V: $i, Y: $i, X: $i] : ((m_main_v_state1(Y, V) | (~m_main_v_state1(X, V))) | (~node6(X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_25')).
% 3.92/2.80 tff(853,plain,
% 3.92/2.80 (![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))),
% 3.92/2.80 inference(modus_ponens,[status(thm)],[852, 851])).
% 3.92/2.80 tff(854,plain,
% 3.92/2.80 (![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))),
% 3.92/2.80 inference(modus_ponens,[status(thm)],[853, 849])).
% 3.92/2.80 tff(855,plain,(
% 3.92/2.80 ![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))),
% 3.92/2.80 inference(skolemize,[status(sab)],[854])).
% 3.92/2.80 tff(856,plain,
% 3.92/2.80 (![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))),
% 3.92/2.80 inference(modus_ponens,[status(thm)],[855, 848])).
% 3.92/2.80 tff(857,plain,
% 3.92/2.80 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s4, c_t1)) | m_main_v_state1(s5, c_t1) | (~node6(s4, s5)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s4, c_t1)) | m_main_v_state1(s5, c_t1) | (~node6(s4, s5)))),
% 3.92/2.80 inference(rewrite,[status(thm)],[])).
% 3.92/2.80 tff(858,plain,
% 3.92/2.80 (((~node6(s4, s5)) | (~m_main_v_state1(s4, c_t1)) | m_main_v_state1(s5, c_t1)) <=> ((~m_main_v_state1(s4, c_t1)) | m_main_v_state1(s5, c_t1) | (~node6(s4, s5)))),
% 3.92/2.80 inference(rewrite,[status(thm)],[])).
% 3.92/2.80 tff(859,plain,
% 3.92/2.80 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s4, s5)) | (~m_main_v_state1(s4, c_t1)) | m_main_v_state1(s5, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s4, c_t1)) | m_main_v_state1(s5, c_t1) | (~node6(s4, s5))))),
% 3.92/2.80 inference(monotonicity,[status(thm)],[858])).
% 3.92/2.80 tff(860,plain,
% 3.92/2.80 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s4, s5)) | (~m_main_v_state1(s4, c_t1)) | m_main_v_state1(s5, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s4, c_t1)) | m_main_v_state1(s5, c_t1) | (~node6(s4, s5)))),
% 3.92/2.80 inference(transitivity,[status(thm)],[859, 857])).
% 3.92/2.80 tff(861,plain,
% 3.92/2.80 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s4, s5)) | (~m_main_v_state1(s4, c_t1)) | m_main_v_state1(s5, c_t1))),
% 3.92/2.80 inference(quant_inst,[status(thm)],[])).
% 3.92/2.80 tff(862,plain,
% 3.92/2.80 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s4, c_t1)) | m_main_v_state1(s5, c_t1) | (~node6(s4, s5))),
% 3.92/2.80 inference(modus_ponens,[status(thm)],[861, 860])).
% 3.92/2.80 tff(863,plain,
% 3.92/2.80 (m_main_v_state1(s5, c_t1)),
% 3.92/2.80 inference(unit_resolution,[status(thm)],[862, 856, 656, 825])).
% 3.92/2.80 tff(864,plain,
% 3.92/2.80 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s5, c_n2)) | (~m_main_v_state2(s5, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s5, c_n2)) | (~m_main_v_state2(s5, c_t2)))),
% 3.92/2.80 inference(rewrite,[status(thm)],[])).
% 3.92/2.80 tff(865,plain,
% 3.92/2.80 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s5, c_n2)) | (~m_main_v_state2(s5, c_t2)))),
% 3.92/2.80 inference(quant_inst,[status(thm)],[])).
% 3.92/2.80 tff(866,plain,
% 3.92/2.80 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s5, c_n2)) | (~m_main_v_state2(s5, c_t2))),
% 3.92/2.80 inference(modus_ponens,[status(thm)],[865, 864])).
% 3.92/2.80 tff(867,plain,
% 3.92/2.80 (~m_main_v_state2(s5, c_t2)),
% 3.92/2.80 inference(unit_resolution,[status(thm)],[866, 77, 734])).
% 3.92/2.80 tff(868,plain,
% 3.92/2.80 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s5, c_t2) | (~node1(s5)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s5, c_t2) | (~node1(s5)))),
% 3.92/2.80 inference(rewrite,[status(thm)],[])).
% 3.92/2.80 tff(869,plain,
% 3.92/2.80 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s5, c_t2) | (~node1(s5)))),
% 3.92/2.80 inference(quant_inst,[status(thm)],[])).
% 3.92/2.80 tff(870,plain,
% 3.92/2.80 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s5, c_t2) | (~node1(s5))),
% 3.92/2.80 inference(modus_ponens,[status(thm)],[869, 868])).
% 3.92/2.80 tff(871,plain,
% 3.92/2.80 (~node1(s5)),
% 3.92/2.80 inference(unit_resolution,[status(thm)],[870, 195, 867])).
% 3.92/2.80 tff(872,plain,
% 3.92/2.80 (succ(s5, s6) <=> succ(s5, s6)),
% 3.92/2.80 inference(rewrite,[status(thm)],[])).
% 3.92/2.80 tff(873,axiom,(succ(s5, s6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound6')).
% 3.92/2.80 tff(874,plain,
% 3.92/2.80 (succ(s5, s6)),
% 3.92/2.80 inference(modus_ponens,[status(thm)],[873, 872])).
% 3.92/2.80 tff(875,plain,
% 3.92/2.80 (((~![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))),
% 3.92/2.80 inference(rewrite,[status(thm)],[])).
% 3.92/2.80 tff(876,plain,
% 3.92/2.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s5, s6)) | trans(s5, s6))),
% 3.92/2.80 inference(quant_inst,[status(thm)],[])).
% 3.92/2.80 tff(877,plain,
% 3.92/2.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s5, s6)) | trans(s5, s6)),
% 3.92/2.80 inference(modus_ponens,[status(thm)],[876, 875])).
% 3.92/2.80 tff(878,plain,
% 3.92/2.80 (trans(s5, s6)),
% 3.92/2.80 inference(unit_resolution,[status(thm)],[877, 874, 32])).
% 3.92/2.80 tff(879,plain,
% 3.92/2.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s5, s6)) | node7(s5, s6))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s5, s6)) | node7(s5, s6))),
% 3.92/2.80 inference(rewrite,[status(thm)],[])).
% 3.92/2.80 tff(880,plain,
% 3.92/2.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s5, s6)) | node7(s5, s6))),
% 3.92/2.80 inference(quant_inst,[status(thm)],[])).
% 3.92/2.80 tff(881,plain,
% 3.92/2.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s5, s6)) | node7(s5, s6)),
% 3.92/2.80 inference(modus_ponens,[status(thm)],[880, 879])).
% 3.92/2.80 tff(882,plain,
% 3.92/2.80 (node7(s5, s6)),
% 3.92/2.80 inference(unit_resolution,[status(thm)],[881, 206, 878])).
% 3.92/2.80 tff(883,plain,
% 3.92/2.80 (^[Y: $i, X: $i] : refl(((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1)) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1)))),
% 3.92/2.80 inference(bind,[status(th)],[])).
% 3.92/2.80 tff(884,plain,
% 3.92/2.80 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1)) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))),
% 3.92/2.80 inference(quant_intro,[status(thm)],[883])).
% 3.92/2.80 tff(885,plain,
% 3.92/2.80 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1)) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))),
% 3.92/2.80 inference(rewrite,[status(thm)],[])).
% 3.92/2.80 tff(886,plain,
% 3.92/2.80 (^[Y: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((node1(X) | node2(X)) | node3(X)) <=> (node1(X) | node2(X) | node3(X))), ((((node1(X) | node2(X)) | node3(X)) | (~m_main_v_state1(X, c_t1))) <=> ((node1(X) | node2(X) | node3(X)) | (~m_main_v_state1(X, c_t1))))), rewrite(((node1(X) | node2(X) | node3(X)) | (~m_main_v_state1(X, c_t1))) <=> ((~m_main_v_state1(X, c_t1)) | node1(X) | node2(X) | node3(X))), ((((node1(X) | node2(X)) | node3(X)) | (~m_main_v_state1(X, c_t1))) <=> ((~m_main_v_state1(X, c_t1)) | node1(X) | node2(X) | node3(X)))), (((((node1(X) | node2(X)) | node3(X)) | (~m_main_v_state1(X, c_t1))) | (~m_main_v_state2(X, c_n2))) <=> (((~m_main_v_state1(X, c_t1)) | node1(X) | node2(X) | node3(X)) | (~m_main_v_state2(X, c_n2))))), rewrite((((~m_main_v_state1(X, c_t1)) | node1(X) | node2(X) | node3(X)) | (~m_main_v_state2(X, c_n2))) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X))), (((((node1(X) | node2(X)) | node3(X)) | (~m_main_v_state1(X, c_t1))) | (~m_main_v_state2(X, c_n2))) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X)))), ((((((node1(X) | node2(X)) | node3(X)) | (~m_main_v_state1(X, c_t1))) | (~m_main_v_state2(X, c_n2))) | m_main_v_state1(Y, c_c1)) <=> (((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X)) | m_main_v_state1(Y, c_c1)))), rewrite((((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X)) | m_main_v_state1(Y, c_c1)) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | m_main_v_state1(Y, c_c1))), ((((((node1(X) | node2(X)) | node3(X)) | (~m_main_v_state1(X, c_t1))) | (~m_main_v_state2(X, c_n2))) | m_main_v_state1(Y, c_c1)) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | m_main_v_state1(Y, c_c1)))), (((((((node1(X) | node2(X)) | node3(X)) | (~m_main_v_state1(X, c_t1))) | (~m_main_v_state2(X, c_n2))) | m_main_v_state1(Y, c_c1)) | (~node7(X, Y))) <=> (((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | m_main_v_state1(Y, c_c1)) | (~node7(X, Y))))), rewrite((((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | m_main_v_state1(Y, c_c1)) | (~node7(X, Y))) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))), (((((((node1(X) | node2(X)) | node3(X)) | (~m_main_v_state1(X, c_t1))) | (~m_main_v_state2(X, c_n2))) | m_main_v_state1(Y, c_c1)) | (~node7(X, Y))) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))))),
% 3.92/2.80 inference(bind,[status(th)],[])).
% 3.92/2.80 tff(887,plain,
% 3.92/2.80 (![Y: $i, X: $i] : ((((((node1(X) | node2(X)) | node3(X)) | (~m_main_v_state1(X, c_t1))) | (~m_main_v_state2(X, c_n2))) | m_main_v_state1(Y, c_c1)) | (~node7(X, Y))) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))),
% 3.92/2.80 inference(quant_intro,[status(thm)],[886])).
% 3.92/2.80 tff(888,axiom,(![Y: $i, X: $i] : ((((((node1(X) | node2(X)) | node3(X)) | (~m_main_v_state1(X, c_t1))) | (~m_main_v_state2(X, c_n2))) | m_main_v_state1(Y, c_c1)) | (~node7(X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_30')).
% 3.92/2.80 tff(889,plain,
% 3.92/2.80 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))),
% 3.92/2.80 inference(modus_ponens,[status(thm)],[888, 887])).
% 3.92/2.80 tff(890,plain,
% 3.92/2.80 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))),
% 3.92/2.80 inference(modus_ponens,[status(thm)],[889, 885])).
% 3.92/2.80 tff(891,plain,(
% 3.92/2.80 ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))),
% 3.92/2.80 inference(skolemize,[status(sab)],[890])).
% 3.92/2.80 tff(892,plain,
% 3.92/2.80 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))),
% 3.92/2.80 inference(modus_ponens,[status(thm)],[891, 884])).
% 3.92/2.80 tff(893,plain,
% 3.92/2.80 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | m_main_v_state1(s6, c_c1) | node1(s5) | node2(s5) | node3(s5) | (~node7(s5, s6)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | m_main_v_state1(s6, c_c1) | node1(s5) | node2(s5) | node3(s5) | (~node7(s5, s6)))),
% 3.92/2.80 inference(rewrite,[status(thm)],[])).
% 3.92/2.80 tff(894,plain,
% 3.92/2.80 (((~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | node1(s5) | node2(s5) | node3(s5) | (~node7(s5, s6)) | m_main_v_state1(s6, c_c1)) <=> ((~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | m_main_v_state1(s6, c_c1) | node1(s5) | node2(s5) | node3(s5) | (~node7(s5, s6)))),
% 3.92/2.80 inference(rewrite,[status(thm)],[])).
% 3.92/2.80 tff(895,plain,
% 3.92/2.80 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | node1(s5) | node2(s5) | node3(s5) | (~node7(s5, s6)) | m_main_v_state1(s6, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | m_main_v_state1(s6, c_c1) | node1(s5) | node2(s5) | node3(s5) | (~node7(s5, s6))))),
% 3.92/2.80 inference(monotonicity,[status(thm)],[894])).
% 3.92/2.80 tff(896,plain,
% 3.92/2.80 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | node1(s5) | node2(s5) | node3(s5) | (~node7(s5, s6)) | m_main_v_state1(s6, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | m_main_v_state1(s6, c_c1) | node1(s5) | node2(s5) | node3(s5) | (~node7(s5, s6)))),
% 3.92/2.80 inference(transitivity,[status(thm)],[895, 893])).
% 3.92/2.80 tff(897,plain,
% 3.92/2.80 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | node1(s5) | node2(s5) | node3(s5) | (~node7(s5, s6)) | m_main_v_state1(s6, c_c1))),
% 3.92/2.80 inference(quant_inst,[status(thm)],[])).
% 3.92/2.80 tff(898,plain,
% 3.92/2.80 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | m_main_v_state1(s6, c_c1) | node1(s5) | node2(s5) | node3(s5) | (~node7(s5, s6))),
% 3.92/2.80 inference(modus_ponens,[status(thm)],[897, 896])).
% 3.92/2.80 tff(899,plain,
% 3.92/2.80 ((~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | m_main_v_state1(s6, c_c1) | node1(s5) | node2(s5) | node3(s5)),
% 3.92/2.80 inference(unit_resolution,[status(thm)],[898, 892, 882])).
% 3.92/2.80 tff(900,plain,
% 3.92/2.80 (m_main_v_state1(s6, c_c1)),
% 3.92/2.80 inference(unit_resolution,[status(thm)],[899, 871, 734, 863, 846, 742])).
% 3.92/2.80 tff(901,plain,
% 3.92/2.80 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s6, c_t1)) | (~m_main_v_state1(s6, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s6, c_t1)) | (~m_main_v_state1(s6, c_c1)))),
% 3.92/2.80 inference(rewrite,[status(thm)],[])).
% 3.92/2.80 tff(902,plain,
% 3.92/2.80 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s6, c_t1)) | (~m_main_v_state1(s6, c_c1)))),
% 3.92/2.80 inference(quant_inst,[status(thm)],[])).
% 3.92/2.80 tff(903,plain,
% 3.92/2.80 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s6, c_t1)) | (~m_main_v_state1(s6, c_c1))),
% 3.92/2.80 inference(modus_ponens,[status(thm)],[902, 901])).
% 3.92/2.80 tff(904,plain,
% 3.92/2.80 (~m_main_v_state1(s6, c_t1)),
% 3.92/2.80 inference(unit_resolution,[status(thm)],[903, 539, 900])).
% 3.92/2.80 tff(905,plain,
% 3.92/2.80 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s6, c_t1) | (~node5(s6)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s6, c_t1) | (~node5(s6)))),
% 3.92/2.80 inference(rewrite,[status(thm)],[])).
% 3.92/2.80 tff(906,plain,
% 3.92/2.80 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s6, c_t1) | (~node5(s6)))),
% 3.92/2.80 inference(quant_inst,[status(thm)],[])).
% 3.92/2.80 tff(907,plain,
% 3.92/2.80 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s6, c_t1) | (~node5(s6))),
% 3.92/2.80 inference(modus_ponens,[status(thm)],[906, 905])).
% 3.92/2.80 tff(908,plain,
% 3.92/2.80 (~node5(s6)),
% 3.92/2.80 inference(unit_resolution,[status(thm)],[907, 550, 904])).
% 3.92/2.80 tff(909,plain,
% 3.92/2.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s5, s6)) | node14(s5, s6))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s5, s6)) | node14(s5, s6))),
% 3.92/2.80 inference(rewrite,[status(thm)],[])).
% 3.92/2.80 tff(910,plain,
% 3.92/2.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s5, s6)) | node14(s5, s6))),
% 3.92/2.80 inference(quant_inst,[status(thm)],[])).
% 3.92/2.80 tff(911,plain,
% 3.92/2.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s5, s6)) | node14(s5, s6)),
% 3.92/2.80 inference(modus_ponens,[status(thm)],[910, 909])).
% 3.92/2.80 tff(912,plain,
% 3.92/2.80 (node14(s5, s6)),
% 3.92/2.80 inference(unit_resolution,[status(thm)],[911, 46, 878])).
% 3.92/2.80 tff(913,plain,
% 3.92/2.80 (^[Y: $i, X: $i] : refl(((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2)) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2)))),
% 3.92/2.80 inference(bind,[status(th)],[])).
% 3.92/2.80 tff(914,plain,
% 3.92/2.80 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2)) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))),
% 3.92/2.80 inference(quant_intro,[status(thm)],[913])).
% 3.92/2.80 tff(915,plain,
% 3.92/2.80 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2)) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))),
% 3.92/2.80 inference(rewrite,[status(thm)],[])).
% 3.92/2.80 tff(916,plain,
% 3.92/2.80 (^[Y: $i, X: $i] : trans(monotonicity(trans(monotonicity(rewrite(((~m_main_v_state2(X, c_n2)) | (~m_main_v_state1(X, c_t1))) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)))), ((((~m_main_v_state2(X, c_n2)) | (~m_main_v_state1(X, c_t1))) | m_main_v_state2(Y, c_t2)) <=> (((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2))) | m_main_v_state2(Y, c_t2)))), rewrite((((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2))) | m_main_v_state2(Y, c_t2)) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | m_main_v_state2(Y, c_t2))), ((((~m_main_v_state2(X, c_n2)) | (~m_main_v_state1(X, c_t1))) | m_main_v_state2(Y, c_t2)) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | m_main_v_state2(Y, c_t2)))), (((((~m_main_v_state2(X, c_n2)) | (~m_main_v_state1(X, c_t1))) | m_main_v_state2(Y, c_t2)) | (~node14(X, Y))) <=> (((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | m_main_v_state2(Y, c_t2)) | (~node14(X, Y))))), rewrite((((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | m_main_v_state2(Y, c_t2)) | (~node14(X, Y))) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))), (((((~m_main_v_state2(X, c_n2)) | (~m_main_v_state1(X, c_t1))) | m_main_v_state2(Y, c_t2)) | (~node14(X, Y))) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))))),
% 3.92/2.80 inference(bind,[status(th)],[])).
% 3.92/2.80 tff(917,plain,
% 3.92/2.80 (![Y: $i, X: $i] : ((((~m_main_v_state2(X, c_n2)) | (~m_main_v_state1(X, c_t1))) | m_main_v_state2(Y, c_t2)) | (~node14(X, Y))) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))),
% 3.92/2.80 inference(quant_intro,[status(thm)],[916])).
% 3.92/2.80 tff(918,axiom,(![Y: $i, X: $i] : ((((~m_main_v_state2(X, c_n2)) | (~m_main_v_state1(X, c_t1))) | m_main_v_state2(Y, c_t2)) | (~node14(X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_48')).
% 3.92/2.80 tff(919,plain,
% 3.92/2.80 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))),
% 3.92/2.80 inference(modus_ponens,[status(thm)],[918, 917])).
% 3.92/2.81 tff(920,plain,
% 3.92/2.81 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))),
% 3.92/2.81 inference(modus_ponens,[status(thm)],[919, 915])).
% 3.92/2.81 tff(921,plain,(
% 3.92/2.81 ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))),
% 3.92/2.81 inference(skolemize,[status(sab)],[920])).
% 3.92/2.81 tff(922,plain,
% 3.92/2.81 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))),
% 3.92/2.81 inference(modus_ponens,[status(thm)],[921, 914])).
% 3.92/2.81 tff(923,plain,
% 3.92/2.81 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | (~node14(s5, s6)) | m_main_v_state2(s6, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | (~node14(s5, s6)) | m_main_v_state2(s6, c_t2))),
% 3.92/2.81 inference(rewrite,[status(thm)],[])).
% 3.92/2.81 tff(924,plain,
% 3.92/2.81 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | (~node14(s5, s6)) | m_main_v_state2(s6, c_t2))),
% 3.92/2.81 inference(quant_inst,[status(thm)],[])).
% 3.92/2.81 tff(925,plain,
% 3.92/2.81 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | (~node14(s5, s6)) | m_main_v_state2(s6, c_t2)),
% 3.92/2.81 inference(modus_ponens,[status(thm)],[924, 923])).
% 3.92/2.81 tff(926,plain,
% 3.92/2.81 ((~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | m_main_v_state2(s6, c_t2)),
% 3.92/2.81 inference(unit_resolution,[status(thm)],[925, 922, 912])).
% 3.92/2.81 tff(927,plain,
% 3.92/2.81 (m_main_v_state2(s6, c_t2)),
% 3.92/2.81 inference(unit_resolution,[status(thm)],[926, 863, 734])).
% 3.92/2.81 tff(928,plain,
% 3.92/2.81 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s6, c_n2)) | (~m_main_v_state2(s6, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s6, c_n2)) | (~m_main_v_state2(s6, c_t2)))),
% 3.92/2.81 inference(rewrite,[status(thm)],[])).
% 3.92/2.81 tff(929,plain,
% 3.92/2.81 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s6, c_n2)) | (~m_main_v_state2(s6, c_t2)))),
% 3.92/2.81 inference(quant_inst,[status(thm)],[])).
% 3.92/2.81 tff(930,plain,
% 3.92/2.81 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s6, c_n2)) | (~m_main_v_state2(s6, c_t2))),
% 3.92/2.81 inference(modus_ponens,[status(thm)],[929, 928])).
% 3.92/2.81 tff(931,plain,
% 3.92/2.81 (~m_main_v_state2(s6, c_n2)),
% 3.92/2.81 inference(unit_resolution,[status(thm)],[930, 77, 927])).
% 3.92/2.81 tff(932,plain,
% 3.92/2.81 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s6, c_n2) | (~node4(s6)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s6, c_n2) | (~node4(s6)))),
% 3.92/2.81 inference(rewrite,[status(thm)],[])).
% 3.92/2.81 tff(933,plain,
% 3.92/2.81 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s6, c_n2) | (~node4(s6)))),
% 3.92/2.81 inference(quant_inst,[status(thm)],[])).
% 3.92/2.81 tff(934,plain,
% 3.92/2.81 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s6, c_n2) | (~node4(s6))),
% 3.92/2.81 inference(modus_ponens,[status(thm)],[933, 932])).
% 3.92/2.81 tff(935,plain,
% 3.92/2.81 (~node4(s6)),
% 3.92/2.81 inference(unit_resolution,[status(thm)],[934, 388, 931])).
% 3.92/2.81 tff(936,plain,
% 3.92/2.81 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s6, c_t2)) | (~m_main_v_state2(s6, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s6, c_t2)) | (~m_main_v_state2(s6, c_c2)))),
% 3.92/2.81 inference(rewrite,[status(thm)],[])).
% 3.92/2.81 tff(937,plain,
% 3.92/2.81 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s6, c_t2)) | (~m_main_v_state2(s6, c_c2)))),
% 3.92/2.81 inference(quant_inst,[status(thm)],[])).
% 3.92/2.81 tff(938,plain,
% 3.92/2.81 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s6, c_t2)) | (~m_main_v_state2(s6, c_c2))),
% 3.92/2.81 inference(modus_ponens,[status(thm)],[937, 936])).
% 3.92/2.81 tff(939,plain,
% 3.92/2.81 (~m_main_v_state2(s6, c_c2)),
% 3.92/2.81 inference(unit_resolution,[status(thm)],[938, 260, 927])).
% 3.92/2.81 tff(940,plain,
% 3.92/2.81 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s6, c_c2) | (~node3(s6)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s6, c_c2) | (~node3(s6)))),
% 3.92/2.81 inference(rewrite,[status(thm)],[])).
% 3.92/2.81 tff(941,plain,
% 3.92/2.81 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s6, c_c2) | (~node3(s6)))),
% 3.92/2.81 inference(quant_inst,[status(thm)],[])).
% 3.92/2.81 tff(942,plain,
% 3.92/2.81 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s6, c_c2) | (~node3(s6))),
% 3.92/2.81 inference(modus_ponens,[status(thm)],[941, 940])).
% 3.92/2.81 tff(943,plain,
% 3.92/2.81 (~node3(s6)),
% 3.92/2.81 inference(unit_resolution,[status(thm)],[942, 399, 939])).
% 3.92/2.81 tff(944,plain,
% 3.92/2.81 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s6, c_n2) | (~node2(s6)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s6, c_n2) | (~node2(s6)))),
% 3.92/2.81 inference(rewrite,[status(thm)],[])).
% 3.92/2.81 tff(945,plain,
% 3.92/2.81 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s6, c_n2) | (~node2(s6)))),
% 3.92/2.81 inference(quant_inst,[status(thm)],[])).
% 3.92/2.81 tff(946,plain,
% 3.92/2.81 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s6, c_n2) | (~node2(s6))),
% 3.92/2.81 inference(modus_ponens,[status(thm)],[945, 944])).
% 3.92/2.81 tff(947,plain,
% 3.92/2.81 (~node2(s6)),
% 3.92/2.81 inference(unit_resolution,[status(thm)],[946, 410, 931])).
% 3.92/2.81 tff(948,plain,
% 3.92/2.81 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s6, c_n1)) | (~m_main_v_state1(s6, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s6, c_n1)) | (~m_main_v_state1(s6, c_c1)))),
% 3.92/2.81 inference(rewrite,[status(thm)],[])).
% 3.92/2.81 tff(949,plain,
% 3.92/2.81 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s6, c_n1)) | (~m_main_v_state1(s6, c_c1)))),
% 3.92/2.81 inference(quant_inst,[status(thm)],[])).
% 3.92/2.81 tff(950,plain,
% 3.92/2.81 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s6, c_n1)) | (~m_main_v_state1(s6, c_c1))),
% 3.92/2.81 inference(modus_ponens,[status(thm)],[949, 948])).
% 3.92/2.81 tff(951,plain,
% 3.92/2.81 (~m_main_v_state1(s6, c_n1)),
% 3.92/2.81 inference(unit_resolution,[status(thm)],[950, 454, 900])).
% 3.92/2.81 tff(952,plain,
% 3.92/2.81 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s6, c_n1) | (~node1(s6)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s6, c_n1) | (~node1(s6)))),
% 3.92/2.81 inference(rewrite,[status(thm)],[])).
% 3.92/2.81 tff(953,plain,
% 3.92/2.81 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s6, c_n1) | (~node1(s6)))),
% 3.92/2.81 inference(quant_inst,[status(thm)],[])).
% 3.92/2.81 tff(954,plain,
% 3.92/2.81 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s6, c_n1) | (~node1(s6))),
% 3.92/2.81 inference(modus_ponens,[status(thm)],[953, 952])).
% 3.92/2.81 tff(955,plain,
% 3.92/2.81 (~node1(s6)),
% 3.92/2.81 inference(unit_resolution,[status(thm)],[954, 421, 951])).
% 3.92/2.81 tff(956,plain,
% 3.92/2.81 (succ(s6, s7) <=> succ(s6, s7)),
% 3.92/2.81 inference(rewrite,[status(thm)],[])).
% 3.92/2.81 tff(957,axiom,(succ(s6, s7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound7')).
% 3.92/2.81 tff(958,plain,
% 3.92/2.81 (succ(s6, s7)),
% 3.92/2.81 inference(modus_ponens,[status(thm)],[957, 956])).
% 3.92/2.81 tff(959,plain,
% 3.92/2.81 (((~![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))),
% 3.92/2.81 inference(rewrite,[status(thm)],[])).
% 3.92/2.81 tff(960,plain,
% 3.92/2.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s6, s7)) | trans(s6, s7))),
% 3.92/2.81 inference(quant_inst,[status(thm)],[])).
% 3.92/2.81 tff(961,plain,
% 3.92/2.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s6, s7)) | trans(s6, s7)),
% 3.92/2.81 inference(modus_ponens,[status(thm)],[960, 959])).
% 3.92/2.81 tff(962,plain,
% 3.92/2.81 (trans(s6, s7)),
% 3.92/2.81 inference(unit_resolution,[status(thm)],[961, 958, 32])).
% 3.92/2.81 tff(963,plain,
% 3.92/2.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s6, s7)) | node7(s6, s7))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s6, s7)) | node7(s6, s7))),
% 3.92/2.81 inference(rewrite,[status(thm)],[])).
% 3.92/2.81 tff(964,plain,
% 3.92/2.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s6, s7)) | node7(s6, s7))),
% 3.92/2.81 inference(quant_inst,[status(thm)],[])).
% 3.92/2.81 tff(965,plain,
% 3.92/2.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s6, s7)) | node7(s6, s7)),
% 3.92/2.81 inference(modus_ponens,[status(thm)],[964, 963])).
% 3.92/2.81 tff(966,plain,
% 3.92/2.81 (node7(s6, s7)),
% 3.92/2.81 inference(unit_resolution,[status(thm)],[965, 206, 962])).
% 3.92/2.81 tff(967,plain,
% 3.92/2.81 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s7, c_n1) | (~m_main_v_state1(s6, c_c1)) | node1(s6) | node2(s6) | node3(s6) | node4(s6) | node5(s6) | (~node7(s6, s7)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s7, c_n1) | (~m_main_v_state1(s6, c_c1)) | node1(s6) | node2(s6) | node3(s6) | node4(s6) | node5(s6) | (~node7(s6, s7)))),
% 3.92/2.81 inference(rewrite,[status(thm)],[])).
% 3.92/2.81 tff(968,plain,
% 3.92/2.81 (((~m_main_v_state1(s6, c_c1)) | node1(s6) | node2(s6) | node3(s6) | node4(s6) | node5(s6) | (~node7(s6, s7)) | m_main_v_state1(s7, c_n1)) <=> (m_main_v_state1(s7, c_n1) | (~m_main_v_state1(s6, c_c1)) | node1(s6) | node2(s6) | node3(s6) | node4(s6) | node5(s6) | (~node7(s6, s7)))),
% 3.92/2.81 inference(rewrite,[status(thm)],[])).
% 3.92/2.81 tff(969,plain,
% 3.92/2.81 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s6, c_c1)) | node1(s6) | node2(s6) | node3(s6) | node4(s6) | node5(s6) | (~node7(s6, s7)) | m_main_v_state1(s7, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s7, c_n1) | (~m_main_v_state1(s6, c_c1)) | node1(s6) | node2(s6) | node3(s6) | node4(s6) | node5(s6) | (~node7(s6, s7))))),
% 3.92/2.81 inference(monotonicity,[status(thm)],[968])).
% 3.92/2.81 tff(970,plain,
% 3.92/2.81 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s6, c_c1)) | node1(s6) | node2(s6) | node3(s6) | node4(s6) | node5(s6) | (~node7(s6, s7)) | m_main_v_state1(s7, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s7, c_n1) | (~m_main_v_state1(s6, c_c1)) | node1(s6) | node2(s6) | node3(s6) | node4(s6) | node5(s6) | (~node7(s6, s7)))),
% 3.92/2.81 inference(transitivity,[status(thm)],[969, 967])).
% 3.92/2.81 tff(971,plain,
% 3.92/2.81 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s6, c_c1)) | node1(s6) | node2(s6) | node3(s6) | node4(s6) | node5(s6) | (~node7(s6, s7)) | m_main_v_state1(s7, c_n1))),
% 3.92/2.81 inference(quant_inst,[status(thm)],[])).
% 3.92/2.81 tff(972,plain,
% 3.92/2.81 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s7, c_n1) | (~m_main_v_state1(s6, c_c1)) | node1(s6) | node2(s6) | node3(s6) | node4(s6) | node5(s6) | (~node7(s6, s7))),
% 3.92/2.81 inference(modus_ponens,[status(thm)],[971, 970])).
% 3.92/2.81 tff(973,plain,
% 3.92/2.81 (m_main_v_state1(s7, c_n1) | (~m_main_v_state1(s6, c_c1)) | node1(s6) | node2(s6) | node3(s6) | node4(s6) | node5(s6)),
% 3.92/2.81 inference(unit_resolution,[status(thm)],[972, 584, 966])).
% 3.92/2.81 tff(974,plain,
% 3.92/2.81 (m_main_v_state1(s7, c_n1)),
% 3.92/2.81 inference(unit_resolution,[status(thm)],[973, 955, 900, 947, 943, 935, 908])).
% 3.92/2.81 tff(975,plain,
% 3.92/2.81 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s5, c_t2) | (~node15(s5)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s5, c_t2) | (~node15(s5)))),
% 3.92/2.81 inference(rewrite,[status(thm)],[])).
% 3.92/2.81 tff(976,plain,
% 3.92/2.81 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s5, c_t2) | (~node15(s5)))),
% 3.92/2.81 inference(quant_inst,[status(thm)],[])).
% 3.92/2.81 tff(977,plain,
% 3.92/2.81 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s5, c_t2) | (~node15(s5))),
% 3.92/2.81 inference(modus_ponens,[status(thm)],[976, 975])).
% 3.92/2.81 tff(978,plain,
% 3.92/2.81 (~node15(s5)),
% 3.92/2.81 inference(unit_resolution,[status(thm)],[977, 103, 867])).
% 3.92/2.81 tff(979,plain,
% 3.92/2.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s5, s6)) | node18(s5, s6))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s5, s6)) | node18(s5, s6))),
% 3.92/2.81 inference(rewrite,[status(thm)],[])).
% 3.92/2.81 tff(980,plain,
% 3.92/2.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s5, s6)) | node18(s5, s6))),
% 3.92/2.81 inference(quant_inst,[status(thm)],[])).
% 3.92/2.81 tff(981,plain,
% 3.92/2.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s5, s6)) | node18(s5, s6)),
% 3.92/2.81 inference(modus_ponens,[status(thm)],[980, 979])).
% 3.92/2.81 tff(982,plain,
% 3.92/2.81 (node18(s5, s6)),
% 3.92/2.81 inference(unit_resolution,[status(thm)],[981, 125, 878])).
% 3.92/2.81 tff(983,plain,
% 3.92/2.81 (^[Y: $i, X: $i] : refl(((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1)) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1)))),
% 3.92/2.81 inference(bind,[status(th)],[])).
% 3.92/2.81 tff(984,plain,
% 3.92/2.81 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1)) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))),
% 3.92/2.81 inference(quant_intro,[status(thm)],[983])).
% 3.92/2.81 tff(985,plain,
% 3.92/2.81 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1)) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))),
% 3.92/2.81 inference(rewrite,[status(thm)],[])).
% 3.92/2.81 tff(986,plain,
% 3.92/2.81 (^[Y: $i, X: $i] : trans(monotonicity(trans(monotonicity(rewrite(((node15(X) | (~m_main_v_state2(X, c_n2))) | (~m_main_v_state1(X, c_t1))) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X))), ((((node15(X) | (~m_main_v_state2(X, c_n2))) | (~m_main_v_state1(X, c_t1))) | m_main_v_turn(Y, c_1)) <=> (((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X)) | m_main_v_turn(Y, c_1)))), rewrite((((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X)) | m_main_v_turn(Y, c_1)) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | m_main_v_turn(Y, c_1))), ((((node15(X) | (~m_main_v_state2(X, c_n2))) | (~m_main_v_state1(X, c_t1))) | m_main_v_turn(Y, c_1)) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | m_main_v_turn(Y, c_1)))), (((((node15(X) | (~m_main_v_state2(X, c_n2))) | (~m_main_v_state1(X, c_t1))) | m_main_v_turn(Y, c_1)) | (~node18(X, Y))) <=> (((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | m_main_v_turn(Y, c_1)) | (~node18(X, Y))))), rewrite((((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | m_main_v_turn(Y, c_1)) | (~node18(X, Y))) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))), (((((node15(X) | (~m_main_v_state2(X, c_n2))) | (~m_main_v_state1(X, c_t1))) | m_main_v_turn(Y, c_1)) | (~node18(X, Y))) <=> ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))))),
% 3.92/2.81 inference(bind,[status(th)],[])).
% 3.92/2.81 tff(987,plain,
% 3.92/2.81 (![Y: $i, X: $i] : ((((node15(X) | (~m_main_v_state2(X, c_n2))) | (~m_main_v_state1(X, c_t1))) | m_main_v_turn(Y, c_1)) | (~node18(X, Y))) <=> ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))),
% 3.92/2.81 inference(quant_intro,[status(thm)],[986])).
% 3.92/2.81 tff(988,axiom,(![Y: $i, X: $i] : ((((node15(X) | (~m_main_v_state2(X, c_n2))) | (~m_main_v_state1(X, c_t1))) | m_main_v_turn(Y, c_1)) | (~node18(X, Y)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','m_main_63')).
% 3.92/2.81 tff(989,plain,
% 3.92/2.81 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))),
% 3.92/2.81 inference(modus_ponens,[status(thm)],[988, 987])).
% 3.92/2.81 tff(990,plain,
% 3.92/2.81 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))),
% 3.92/2.81 inference(modus_ponens,[status(thm)],[989, 985])).
% 3.92/2.81 tff(991,plain,(
% 3.92/2.81 ![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))),
% 3.92/2.81 inference(skolemize,[status(sab)],[990])).
% 3.92/2.81 tff(992,plain,
% 3.92/2.81 (![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))),
% 3.92/2.81 inference(modus_ponens,[status(thm)],[991, 984])).
% 3.92/2.81 tff(993,plain,
% 3.92/2.81 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s5) | (~node18(s5, s6)) | (~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | m_main_v_turn(s6, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s5) | (~node18(s5, s6)) | (~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | m_main_v_turn(s6, c_1))),
% 3.92/2.81 inference(rewrite,[status(thm)],[])).
% 3.92/2.81 tff(994,plain,
% 3.92/2.81 (((~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | node15(s5) | (~node18(s5, s6)) | m_main_v_turn(s6, c_1)) <=> (node15(s5) | (~node18(s5, s6)) | (~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | m_main_v_turn(s6, c_1))),
% 3.92/2.81 inference(rewrite,[status(thm)],[])).
% 3.92/2.81 tff(995,plain,
% 3.92/2.81 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | node15(s5) | (~node18(s5, s6)) | m_main_v_turn(s6, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s5) | (~node18(s5, s6)) | (~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | m_main_v_turn(s6, c_1)))),
% 3.92/2.81 inference(monotonicity,[status(thm)],[994])).
% 3.92/2.81 tff(996,plain,
% 3.92/2.81 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | node15(s5) | (~node18(s5, s6)) | m_main_v_turn(s6, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s5) | (~node18(s5, s6)) | (~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | m_main_v_turn(s6, c_1))),
% 3.92/2.81 inference(transitivity,[status(thm)],[995, 993])).
% 3.92/2.81 tff(997,plain,
% 3.92/2.81 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | node15(s5) | (~node18(s5, s6)) | m_main_v_turn(s6, c_1))),
% 3.92/2.81 inference(quant_inst,[status(thm)],[])).
% 3.92/2.81 tff(998,plain,
% 3.92/2.81 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s5) | (~node18(s5, s6)) | (~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | m_main_v_turn(s6, c_1)),
% 3.92/2.81 inference(modus_ponens,[status(thm)],[997, 996])).
% 3.92/2.81 tff(999,plain,
% 3.92/2.81 (node15(s5) | (~m_main_v_state1(s5, c_t1)) | (~m_main_v_state2(s5, c_n2)) | m_main_v_turn(s6, c_1)),
% 3.92/2.81 inference(unit_resolution,[status(thm)],[998, 992, 982])).
% 3.92/2.81 tff(1000,plain,
% 3.92/2.81 (m_main_v_turn(s6, c_1)),
% 3.92/2.81 inference(unit_resolution,[status(thm)],[999, 978, 734, 863])).
% 3.92/2.81 tff(1001,plain,
% 3.92/2.81 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s6, c_1)) | (~m_main_v_turn(s6, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s6, c_1)) | (~m_main_v_turn(s6, c_2)))),
% 3.92/2.81 inference(rewrite,[status(thm)],[])).
% 3.92/2.81 tff(1002,plain,
% 3.92/2.81 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s6, c_1)) | (~m_main_v_turn(s6, c_2)))),
% 3.92/2.81 inference(quant_inst,[status(thm)],[])).
% 3.92/2.81 tff(1003,plain,
% 3.92/2.81 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s6, c_1)) | (~m_main_v_turn(s6, c_2))),
% 3.92/2.81 inference(modus_ponens,[status(thm)],[1002, 1001])).
% 3.92/2.81 tff(1004,plain,
% 3.92/2.81 (~m_main_v_turn(s6, c_2)),
% 3.92/2.81 inference(unit_resolution,[status(thm)],[1003, 156, 1000])).
% 3.92/2.81 tff(1005,plain,
% 3.92/2.81 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s6, c_2) | (~node12(s6)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s6, c_2) | (~node12(s6)))),
% 3.92/2.81 inference(rewrite,[status(thm)],[])).
% 3.92/2.81 tff(1006,plain,
% 3.92/2.81 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s6, c_2) | (~node12(s6)))),
% 3.92/2.81 inference(quant_inst,[status(thm)],[])).
% 3.92/2.81 tff(1007,plain,
% 3.92/2.81 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s6, c_2) | (~node12(s6))),
% 3.92/2.81 inference(modus_ponens,[status(thm)],[1006, 1005])).
% 3.92/2.81 tff(1008,plain,
% 3.92/2.81 (~node12(s6)),
% 3.92/2.81 inference(unit_resolution,[status(thm)],[1007, 184, 1004])).
% 3.92/2.81 tff(1009,plain,
% 3.92/2.81 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s6, c_n2) | (~node8(s6)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s6, c_n2) | (~node8(s6)))),
% 3.92/2.81 inference(rewrite,[status(thm)],[])).
% 3.92/2.81 tff(1010,plain,
% 3.92/2.81 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s6, c_n2) | (~node8(s6)))),
% 3.92/2.81 inference(quant_inst,[status(thm)],[])).
% 3.92/2.81 tff(1011,plain,
% 3.92/2.81 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s6, c_n2) | (~node8(s6))),
% 3.92/2.81 inference(modus_ponens,[status(thm)],[1010, 1009])).
% 3.92/2.81 tff(1012,plain,
% 3.92/2.81 (~node8(s6)),
% 3.92/2.81 inference(unit_resolution,[status(thm)],[1011, 271, 931])).
% 3.92/2.81 tff(1013,plain,
% 3.92/2.81 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s6, c_n2) | (~node9(s6)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s6, c_n2) | (~node9(s6)))),
% 3.92/2.81 inference(rewrite,[status(thm)],[])).
% 3.92/2.81 tff(1014,plain,
% 3.92/2.81 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s6, c_n2) | (~node9(s6)))),
% 3.92/2.81 inference(quant_inst,[status(thm)],[])).
% 3.92/2.81 tff(1015,plain,
% 3.92/2.81 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s6, c_n2) | (~node9(s6))),
% 3.92/2.81 inference(modus_ponens,[status(thm)],[1014, 1013])).
% 3.92/2.81 tff(1016,plain,
% 3.92/2.81 (~node9(s6)),
% 3.92/2.81 inference(unit_resolution,[status(thm)],[1015, 88, 931])).
% 3.92/2.81 tff(1017,plain,
% 3.92/2.81 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s6, c_n2) | (~node10(s6)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s6, c_n2) | (~node10(s6)))),
% 3.92/2.81 inference(rewrite,[status(thm)],[])).
% 3.92/2.81 tff(1018,plain,
% 3.92/2.81 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s6, c_n2) | (~node10(s6)))),
% 3.92/2.81 inference(quant_inst,[status(thm)],[])).
% 3.92/2.81 tff(1019,plain,
% 3.92/2.81 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s6, c_n2) | (~node10(s6))),
% 3.92/2.81 inference(modus_ponens,[status(thm)],[1018, 1017])).
% 3.92/2.81 tff(1020,plain,
% 3.92/2.81 (~node10(s6)),
% 3.92/2.81 inference(unit_resolution,[status(thm)],[1019, 249, 931])).
% 3.92/2.81 tff(1021,plain,
% 3.92/2.81 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s6, c_n1) | (~node11(s6)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s6, c_n1) | (~node11(s6)))),
% 3.92/2.81 inference(rewrite,[status(thm)],[])).
% 3.92/2.81 tff(1022,plain,
% 3.92/2.81 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s6, c_n1) | (~node11(s6)))),
% 3.92/2.81 inference(quant_inst,[status(thm)],[])).
% 3.92/2.81 tff(1023,plain,
% 3.92/2.81 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s6, c_n1) | (~node11(s6))),
% 3.92/2.81 inference(modus_ponens,[status(thm)],[1022, 1021])).
% 3.92/2.81 tff(1024,plain,
% 3.92/2.81 (~node11(s6)),
% 3.92/2.81 inference(unit_resolution,[status(thm)],[1023, 238, 951])).
% 3.92/2.81 tff(1025,plain,
% 3.92/2.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s6, s7)) | node14(s6, s7))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s6, s7)) | node14(s6, s7))),
% 3.92/2.81 inference(rewrite,[status(thm)],[])).
% 3.92/2.81 tff(1026,plain,
% 3.92/2.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s6, s7)) | node14(s6, s7))),
% 3.92/2.81 inference(quant_inst,[status(thm)],[])).
% 3.92/2.81 tff(1027,plain,
% 3.92/2.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s6, s7)) | node14(s6, s7)),
% 3.92/2.81 inference(modus_ponens,[status(thm)],[1026, 1025])).
% 3.92/2.81 tff(1028,plain,
% 3.92/2.81 (node14(s6, s7)),
% 3.92/2.81 inference(unit_resolution,[status(thm)],[1027, 46, 962])).
% 3.92/2.81 tff(1029,plain,
% 3.92/2.81 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s6, c_c2) | node9(s6) | node8(s6) | node10(s6) | node11(s6) | node12(s6) | node13(s6, s7) | (~node14(s6, s7)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s6, c_c2) | node9(s6) | node8(s6) | node10(s6) | node11(s6) | node12(s6) | node13(s6, s7) | (~node14(s6, s7)))),
% 3.92/2.81 inference(rewrite,[status(thm)],[])).
% 3.92/2.81 tff(1030,plain,
% 3.92/2.81 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s6, c_c2) | node9(s6) | node8(s6) | node10(s6) | node11(s6) | node12(s6) | node13(s6, s7) | (~node14(s6, s7)))),
% 3.92/2.81 inference(quant_inst,[status(thm)],[])).
% 3.92/2.81 tff(1031,plain,
% 3.92/2.81 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s6, c_c2) | node9(s6) | node8(s6) | node10(s6) | node11(s6) | node12(s6) | node13(s6, s7) | (~node14(s6, s7))),
% 3.92/2.81 inference(modus_ponens,[status(thm)],[1030, 1029])).
% 3.92/2.81 tff(1032,plain,
% 3.92/2.81 (m_main_v_state2(s6, c_c2) | node9(s6) | node8(s6) | node10(s6) | node11(s6) | node12(s6) | node13(s6, s7)),
% 3.92/2.81 inference(unit_resolution,[status(thm)],[1031, 296, 1028])).
% 3.92/2.81 tff(1033,plain,
% 3.92/2.81 (node13(s6, s7)),
% 3.92/2.81 inference(unit_resolution,[status(thm)],[1032, 1024, 939, 1020, 1016, 1012, 1008])).
% 3.92/2.81 tff(1034,plain,
% 3.92/2.81 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s6, c_t2)) | m_main_v_state2(s7, c_t2) | (~node13(s6, s7)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s6, c_t2)) | m_main_v_state2(s7, c_t2) | (~node13(s6, s7)))),
% 3.92/2.81 inference(rewrite,[status(thm)],[])).
% 3.92/2.81 tff(1035,plain,
% 3.92/2.81 (((~node13(s6, s7)) | (~m_main_v_state2(s6, c_t2)) | m_main_v_state2(s7, c_t2)) <=> ((~m_main_v_state2(s6, c_t2)) | m_main_v_state2(s7, c_t2) | (~node13(s6, s7)))),
% 3.92/2.81 inference(rewrite,[status(thm)],[])).
% 3.92/2.81 tff(1036,plain,
% 3.92/2.81 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s6, s7)) | (~m_main_v_state2(s6, c_t2)) | m_main_v_state2(s7, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s6, c_t2)) | m_main_v_state2(s7, c_t2) | (~node13(s6, s7))))),
% 3.92/2.82 inference(monotonicity,[status(thm)],[1035])).
% 3.92/2.82 tff(1037,plain,
% 3.92/2.82 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s6, s7)) | (~m_main_v_state2(s6, c_t2)) | m_main_v_state2(s7, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s6, c_t2)) | m_main_v_state2(s7, c_t2) | (~node13(s6, s7)))),
% 3.92/2.82 inference(transitivity,[status(thm)],[1036, 1034])).
% 3.92/2.82 tff(1038,plain,
% 3.92/2.82 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s6, s7)) | (~m_main_v_state2(s6, c_t2)) | m_main_v_state2(s7, c_t2))),
% 3.92/2.82 inference(quant_inst,[status(thm)],[])).
% 3.92/2.82 tff(1039,plain,
% 3.92/2.82 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s6, c_t2)) | m_main_v_state2(s7, c_t2) | (~node13(s6, s7))),
% 3.92/2.82 inference(modus_ponens,[status(thm)],[1038, 1037])).
% 3.92/2.82 tff(1040,plain,
% 3.92/2.82 (m_main_v_state2(s7, c_t2)),
% 3.92/2.82 inference(unit_resolution,[status(thm)],[1039, 518, 927, 1033])).
% 3.92/2.82 tff(1041,plain,
% 3.92/2.82 (succ(s7, s8) <=> succ(s7, s8)),
% 3.92/2.82 inference(rewrite,[status(thm)],[])).
% 3.92/2.82 tff(1042,axiom,(succ(s7, s8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound8')).
% 3.92/2.82 tff(1043,plain,
% 3.92/2.82 (succ(s7, s8)),
% 3.92/2.82 inference(modus_ponens,[status(thm)],[1042, 1041])).
% 3.92/2.82 tff(1044,plain,
% 3.92/2.82 (((~![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))),
% 3.92/2.82 inference(rewrite,[status(thm)],[])).
% 3.92/2.82 tff(1045,plain,
% 3.92/2.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s7, s8)) | trans(s7, s8))),
% 3.92/2.82 inference(quant_inst,[status(thm)],[])).
% 3.92/2.82 tff(1046,plain,
% 3.92/2.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s7, s8)) | trans(s7, s8)),
% 3.92/2.82 inference(modus_ponens,[status(thm)],[1045, 1044])).
% 3.92/2.82 tff(1047,plain,
% 3.92/2.82 (trans(s7, s8)),
% 3.92/2.82 inference(unit_resolution,[status(thm)],[1046, 1043, 32])).
% 3.92/2.82 tff(1048,plain,
% 3.92/2.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s7, s8)) | node7(s7, s8))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s7, s8)) | node7(s7, s8))),
% 3.92/2.82 inference(rewrite,[status(thm)],[])).
% 3.92/2.82 tff(1049,plain,
% 3.92/2.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s7, s8)) | node7(s7, s8))),
% 3.92/2.82 inference(quant_inst,[status(thm)],[])).
% 3.92/2.82 tff(1050,plain,
% 3.92/2.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s7, s8)) | node7(s7, s8)),
% 3.92/2.82 inference(modus_ponens,[status(thm)],[1049, 1048])).
% 3.92/2.82 tff(1051,plain,
% 3.92/2.82 (node7(s7, s8)),
% 3.92/2.82 inference(unit_resolution,[status(thm)],[1050, 206, 1047])).
% 3.92/2.82 tff(1052,plain,
% 3.92/2.82 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s7, c_n1)) | (~m_main_v_state2(s7, c_t2)) | (~node7(s7, s8)) | m_main_v_state1(s8, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s7, c_n1)) | (~m_main_v_state2(s7, c_t2)) | (~node7(s7, s8)) | m_main_v_state1(s8, c_t1))),
% 3.92/2.82 inference(rewrite,[status(thm)],[])).
% 3.92/2.82 tff(1053,plain,
% 3.92/2.82 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s7, c_n1)) | (~m_main_v_state2(s7, c_t2)) | (~node7(s7, s8)) | m_main_v_state1(s8, c_t1))),
% 3.92/2.82 inference(quant_inst,[status(thm)],[])).
% 3.92/2.82 tff(1054,plain,
% 3.92/2.82 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s7, c_n1)) | (~m_main_v_state2(s7, c_t2)) | (~node7(s7, s8)) | m_main_v_state1(s8, c_t1)),
% 3.92/2.82 inference(modus_ponens,[status(thm)],[1053, 1052])).
% 3.92/2.82 tff(1055,plain,
% 3.92/2.82 ((~m_main_v_state1(s7, c_n1)) | (~m_main_v_state2(s7, c_t2)) | m_main_v_state1(s8, c_t1)),
% 3.92/2.82 inference(unit_resolution,[status(thm)],[1054, 651, 1051])).
% 3.92/2.82 tff(1056,plain,
% 3.92/2.82 (m_main_v_state1(s8, c_t1)),
% 3.92/2.82 inference(unit_resolution,[status(thm)],[1055, 1040, 974])).
% 3.92/2.82 tff(1057,plain,
% 3.92/2.82 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s8, c_n1)) | (~m_main_v_state1(s8, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s8, c_n1)) | (~m_main_v_state1(s8, c_t1)))),
% 3.92/2.82 inference(rewrite,[status(thm)],[])).
% 3.92/2.82 tff(1058,plain,
% 3.92/2.82 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s8, c_n1)) | (~m_main_v_state1(s8, c_t1)))),
% 3.92/2.82 inference(quant_inst,[status(thm)],[])).
% 3.92/2.82 tff(1059,plain,
% 3.92/2.82 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s8, c_n1)) | (~m_main_v_state1(s8, c_t1))),
% 3.92/2.82 inference(modus_ponens,[status(thm)],[1058, 1057])).
% 3.92/2.82 tff(1060,plain,
% 3.92/2.82 (~m_main_v_state1(s8, c_n1)),
% 3.92/2.82 inference(unit_resolution,[status(thm)],[1059, 10, 1056])).
% 3.92/2.82 tff(1061,plain,
% 3.92/2.82 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s8, c_n1) | (~node1(s8)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s8, c_n1) | (~node1(s8)))),
% 3.92/2.82 inference(rewrite,[status(thm)],[])).
% 3.92/2.82 tff(1062,plain,
% 3.92/2.82 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s8, c_n1) | (~node1(s8)))),
% 3.92/2.82 inference(quant_inst,[status(thm)],[])).
% 3.92/2.82 tff(1063,plain,
% 3.92/2.82 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s8, c_n1) | (~node1(s8))),
% 3.92/2.82 inference(modus_ponens,[status(thm)],[1062, 1061])).
% 3.92/2.82 tff(1064,plain,
% 3.92/2.82 (~node1(s8)),
% 3.92/2.82 inference(unit_resolution,[status(thm)],[1063, 421, 1060])).
% 3.92/2.82 tff(1065,plain,
% 3.92/2.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s7, s8)) | node18(s7, s8))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s7, s8)) | node18(s7, s8))),
% 3.92/2.82 inference(rewrite,[status(thm)],[])).
% 3.92/2.82 tff(1066,plain,
% 3.92/2.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s7, s8)) | node18(s7, s8))),
% 3.92/2.82 inference(quant_inst,[status(thm)],[])).
% 3.92/2.82 tff(1067,plain,
% 3.92/2.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s7, s8)) | node18(s7, s8)),
% 3.92/2.82 inference(modus_ponens,[status(thm)],[1066, 1065])).
% 3.92/2.82 tff(1068,plain,
% 3.92/2.82 (node18(s7, s8)),
% 3.92/2.82 inference(unit_resolution,[status(thm)],[1067, 125, 1047])).
% 3.92/2.82 tff(1069,plain,
% 3.92/2.82 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s7, c_n1)) | (~m_main_v_state2(s7, c_t2)) | (~node18(s7, s8)) | m_main_v_turn(s8, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s7, c_n1)) | (~m_main_v_state2(s7, c_t2)) | (~node18(s7, s8)) | m_main_v_turn(s8, c_2))),
% 3.92/2.82 inference(rewrite,[status(thm)],[])).
% 3.92/2.82 tff(1070,plain,
% 3.92/2.82 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s7, c_n1)) | (~m_main_v_state2(s7, c_t2)) | (~node18(s7, s8)) | m_main_v_turn(s8, c_2))),
% 3.92/2.82 inference(quant_inst,[status(thm)],[])).
% 3.92/2.82 tff(1071,plain,
% 3.92/2.82 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s7, c_n1)) | (~m_main_v_state2(s7, c_t2)) | (~node18(s7, s8)) | m_main_v_turn(s8, c_2)),
% 3.92/2.82 inference(modus_ponens,[status(thm)],[1070, 1069])).
% 3.92/2.82 tff(1072,plain,
% 3.92/2.82 ((~m_main_v_state1(s7, c_n1)) | (~m_main_v_state2(s7, c_t2)) | m_main_v_turn(s8, c_2)),
% 3.92/2.82 inference(unit_resolution,[status(thm)],[1071, 760, 1068])).
% 3.92/2.82 tff(1073,plain,
% 3.92/2.82 (m_main_v_turn(s8, c_2)),
% 3.92/2.82 inference(unit_resolution,[status(thm)],[1072, 1040, 974])).
% 3.92/2.82 tff(1074,plain,
% 3.92/2.82 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s8, c_1)) | (~m_main_v_turn(s8, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s8, c_1)) | (~m_main_v_turn(s8, c_2)))),
% 3.92/2.82 inference(rewrite,[status(thm)],[])).
% 3.92/2.82 tff(1075,plain,
% 3.92/2.82 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s8, c_1)) | (~m_main_v_turn(s8, c_2)))),
% 3.92/2.82 inference(quant_inst,[status(thm)],[])).
% 3.92/2.82 tff(1076,plain,
% 3.92/2.82 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s8, c_1)) | (~m_main_v_turn(s8, c_2))),
% 3.92/2.82 inference(modus_ponens,[status(thm)],[1075, 1074])).
% 3.92/2.82 tff(1077,plain,
% 3.92/2.82 (~m_main_v_turn(s8, c_1)),
% 3.92/2.82 inference(unit_resolution,[status(thm)],[1076, 156, 1073])).
% 3.92/2.82 tff(1078,plain,
% 3.92/2.82 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s8, c_1) | (~node5(s8)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s8, c_1) | (~node5(s8)))),
% 3.92/2.82 inference(rewrite,[status(thm)],[])).
% 3.92/2.82 tff(1079,plain,
% 3.92/2.82 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s8, c_1) | (~node5(s8)))),
% 3.92/2.82 inference(quant_inst,[status(thm)],[])).
% 3.92/2.82 tff(1080,plain,
% 3.92/2.82 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s8, c_1) | (~node5(s8))),
% 3.92/2.82 inference(modus_ponens,[status(thm)],[1079, 1078])).
% 3.92/2.82 tff(1081,plain,
% 3.92/2.82 (~node5(s8)),
% 3.92/2.82 inference(unit_resolution,[status(thm)],[1080, 776, 1077])).
% 3.92/2.82 tff(1082,plain,
% 3.92/2.82 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s8, c_n1) | (~node2(s8)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s8, c_n1) | (~node2(s8)))),
% 3.92/2.82 inference(rewrite,[status(thm)],[])).
% 3.92/2.82 tff(1083,plain,
% 3.92/2.82 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s8, c_n1) | (~node2(s8)))),
% 3.92/2.82 inference(quant_inst,[status(thm)],[])).
% 3.92/2.82 tff(1084,plain,
% 3.92/2.82 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s8, c_n1) | (~node2(s8))),
% 3.92/2.82 inference(modus_ponens,[status(thm)],[1083, 1082])).
% 3.92/2.82 tff(1085,plain,
% 3.92/2.82 (~node2(s8)),
% 3.92/2.82 inference(unit_resolution,[status(thm)],[1084, 787, 1060])).
% 3.92/2.82 tff(1086,plain,
% 3.92/2.82 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s8, c_n1) | (~node3(s8)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s8, c_n1) | (~node3(s8)))),
% 3.92/2.82 inference(rewrite,[status(thm)],[])).
% 3.92/2.82 tff(1087,plain,
% 3.92/2.82 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s8, c_n1) | (~node3(s8)))),
% 3.92/2.82 inference(quant_inst,[status(thm)],[])).
% 3.92/2.82 tff(1088,plain,
% 3.92/2.82 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s8, c_n1) | (~node3(s8))),
% 3.92/2.82 inference(modus_ponens,[status(thm)],[1087, 1086])).
% 3.92/2.82 tff(1089,plain,
% 3.92/2.82 (~node3(s8)),
% 3.92/2.82 inference(unit_resolution,[status(thm)],[1088, 798, 1060])).
% 3.92/2.82 tff(1090,plain,
% 3.92/2.82 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s8, c_t1)) | (~m_main_v_state1(s8, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s8, c_t1)) | (~m_main_v_state1(s8, c_c1)))),
% 3.92/2.82 inference(rewrite,[status(thm)],[])).
% 3.92/2.82 tff(1091,plain,
% 3.92/2.82 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s8, c_t1)) | (~m_main_v_state1(s8, c_c1)))),
% 3.92/2.82 inference(quant_inst,[status(thm)],[])).
% 3.92/2.82 tff(1092,plain,
% 3.92/2.82 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s8, c_t1)) | (~m_main_v_state1(s8, c_c1))),
% 3.92/2.82 inference(modus_ponens,[status(thm)],[1091, 1090])).
% 3.92/2.82 tff(1093,plain,
% 3.92/2.82 (~m_main_v_state1(s8, c_c1)),
% 3.92/2.82 inference(unit_resolution,[status(thm)],[1092, 539, 1056])).
% 3.92/2.82 tff(1094,plain,
% 3.92/2.82 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s6, c_n2) | (~m_main_v_state2(s7, c_n2)) | (~node13(s6, s7)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s6, c_n2) | (~m_main_v_state2(s7, c_n2)) | (~node13(s6, s7)))),
% 3.92/2.82 inference(rewrite,[status(thm)],[])).
% 3.92/2.82 tff(1095,plain,
% 3.92/2.82 (((~node13(s6, s7)) | m_main_v_state2(s6, c_n2) | (~m_main_v_state2(s7, c_n2))) <=> (m_main_v_state2(s6, c_n2) | (~m_main_v_state2(s7, c_n2)) | (~node13(s6, s7)))),
% 3.92/2.82 inference(rewrite,[status(thm)],[])).
% 3.92/2.82 tff(1096,plain,
% 3.92/2.82 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s6, s7)) | m_main_v_state2(s6, c_n2) | (~m_main_v_state2(s7, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s6, c_n2) | (~m_main_v_state2(s7, c_n2)) | (~node13(s6, s7))))),
% 3.92/2.82 inference(monotonicity,[status(thm)],[1095])).
% 3.92/2.82 tff(1097,plain,
% 3.92/2.82 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s6, s7)) | m_main_v_state2(s6, c_n2) | (~m_main_v_state2(s7, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s6, c_n2) | (~m_main_v_state2(s7, c_n2)) | (~node13(s6, s7)))),
% 3.92/2.82 inference(transitivity,[status(thm)],[1096, 1094])).
% 3.92/2.82 tff(1098,plain,
% 3.92/2.82 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s6, s7)) | m_main_v_state2(s6, c_n2) | (~m_main_v_state2(s7, c_n2)))),
% 3.92/2.82 inference(quant_inst,[status(thm)],[])).
% 3.92/2.82 tff(1099,plain,
% 3.92/2.82 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s6, c_n2) | (~m_main_v_state2(s7, c_n2)) | (~node13(s6, s7))),
% 3.92/2.82 inference(modus_ponens,[status(thm)],[1098, 1097])).
% 3.92/2.82 tff(1100,plain,
% 3.92/2.82 (~m_main_v_state2(s7, c_n2)),
% 3.92/2.82 inference(unit_resolution,[status(thm)],[1099, 311, 931, 1033])).
% 3.92/2.82 tff(1101,plain,
% 3.92/2.82 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s7, c_n2) | (~node9(s7)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s7, c_n2) | (~node9(s7)))),
% 3.92/2.82 inference(rewrite,[status(thm)],[])).
% 3.92/2.82 tff(1102,plain,
% 3.92/2.82 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s7, c_n2) | (~node9(s7)))),
% 3.92/2.82 inference(quant_inst,[status(thm)],[])).
% 3.92/2.82 tff(1103,plain,
% 3.92/2.82 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s7, c_n2) | (~node9(s7))),
% 3.92/2.82 inference(modus_ponens,[status(thm)],[1102, 1101])).
% 3.92/2.82 tff(1104,plain,
% 3.92/2.82 (~node9(s7)),
% 3.92/2.82 inference(unit_resolution,[status(thm)],[1103, 88, 1100])).
% 3.92/2.82 tff(1105,plain,
% 3.92/2.82 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s7, c_n2) | (~node10(s7)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s7, c_n2) | (~node10(s7)))),
% 3.92/2.82 inference(rewrite,[status(thm)],[])).
% 3.92/2.82 tff(1106,plain,
% 3.92/2.82 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s7, c_n2) | (~node10(s7)))),
% 3.92/2.82 inference(quant_inst,[status(thm)],[])).
% 3.92/2.82 tff(1107,plain,
% 3.92/2.82 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s7, c_n2) | (~node10(s7))),
% 3.92/2.82 inference(modus_ponens,[status(thm)],[1106, 1105])).
% 3.92/2.82 tff(1108,plain,
% 3.92/2.82 (~node10(s7)),
% 3.92/2.82 inference(unit_resolution,[status(thm)],[1107, 249, 1100])).
% 3.92/2.82 tff(1109,plain,
% 3.92/2.82 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s7, c_n2) | (~node8(s7)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s7, c_n2) | (~node8(s7)))),
% 3.92/2.82 inference(rewrite,[status(thm)],[])).
% 3.92/2.82 tff(1110,plain,
% 3.92/2.82 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s7, c_n2) | (~node8(s7)))),
% 3.92/2.82 inference(quant_inst,[status(thm)],[])).
% 3.92/2.82 tff(1111,plain,
% 3.92/2.82 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s7, c_n2) | (~node8(s7))),
% 3.92/2.82 inference(modus_ponens,[status(thm)],[1110, 1109])).
% 3.92/2.82 tff(1112,plain,
% 3.92/2.82 (~node8(s7)),
% 3.92/2.82 inference(unit_resolution,[status(thm)],[1111, 271, 1100])).
% 3.92/2.82 tff(1113,plain,
% 3.92/2.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s7, s8)) | node14(s7, s8))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s7, s8)) | node14(s7, s8))),
% 3.92/2.82 inference(rewrite,[status(thm)],[])).
% 3.92/2.82 tff(1114,plain,
% 3.92/2.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s7, s8)) | node14(s7, s8))),
% 3.92/2.82 inference(quant_inst,[status(thm)],[])).
% 3.92/2.82 tff(1115,plain,
% 3.92/2.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s7, s8)) | node14(s7, s8)),
% 3.92/2.82 inference(modus_ponens,[status(thm)],[1114, 1113])).
% 3.92/2.82 tff(1116,plain,
% 3.92/2.82 (node14(s7, s8)),
% 3.92/2.82 inference(unit_resolution,[status(thm)],[1115, 46, 1047])).
% 3.92/2.82 tff(1117,plain,
% 3.92/2.82 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s7, c_n1)) | (~m_main_v_state2(s7, c_t2)) | node9(s7) | node8(s7) | node10(s7) | (~node14(s7, s8)) | m_main_v_state2(s8, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s7, c_n1)) | (~m_main_v_state2(s7, c_t2)) | node9(s7) | node8(s7) | node10(s7) | (~node14(s7, s8)) | m_main_v_state2(s8, c_c2))),
% 3.92/2.82 inference(rewrite,[status(thm)],[])).
% 3.92/2.82 tff(1118,plain,
% 3.92/2.82 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s7, c_n1)) | (~m_main_v_state2(s7, c_t2)) | node9(s7) | node8(s7) | node10(s7) | (~node14(s7, s8)) | m_main_v_state2(s8, c_c2))),
% 3.92/2.82 inference(quant_inst,[status(thm)],[])).
% 3.92/2.82 tff(1119,plain,
% 3.92/2.82 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s7, c_n1)) | (~m_main_v_state2(s7, c_t2)) | node9(s7) | node8(s7) | node10(s7) | (~node14(s7, s8)) | m_main_v_state2(s8, c_c2)),
% 3.92/2.82 inference(modus_ponens,[status(thm)],[1118, 1117])).
% 3.92/2.82 tff(1120,plain,
% 3.92/2.82 ((~m_main_v_state1(s7, c_n1)) | (~m_main_v_state2(s7, c_t2)) | node9(s7) | node8(s7) | node10(s7) | m_main_v_state2(s8, c_c2)),
% 3.92/2.82 inference(unit_resolution,[status(thm)],[1119, 617, 1116])).
% 3.92/2.82 tff(1121,plain,
% 3.92/2.82 (m_main_v_state2(s8, c_c2)),
% 3.92/2.82 inference(unit_resolution,[status(thm)],[1120, 1112, 974, 1040, 1108, 1104])).
% 3.92/2.82 tff(1122,plain,
% 3.92/2.82 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s8, c_n2)) | (~m_main_v_state2(s8, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s8, c_n2)) | (~m_main_v_state2(s8, c_c2)))),
% 3.92/2.82 inference(rewrite,[status(thm)],[])).
% 3.92/2.82 tff(1123,plain,
% 3.92/2.82 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s8, c_n2)) | (~m_main_v_state2(s8, c_c2)))),
% 3.92/2.82 inference(quant_inst,[status(thm)],[])).
% 3.92/2.82 tff(1124,plain,
% 3.92/2.82 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s8, c_n2)) | (~m_main_v_state2(s8, c_c2))),
% 3.92/2.82 inference(modus_ponens,[status(thm)],[1123, 1122])).
% 3.92/2.82 tff(1125,plain,
% 3.92/2.82 (~m_main_v_state2(s8, c_n2)),
% 3.92/2.82 inference(unit_resolution,[status(thm)],[1124, 697, 1121])).
% 3.92/2.82 tff(1126,plain,
% 3.92/2.82 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s8, c_n2) | (~node4(s8)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s8, c_n2) | (~node4(s8)))),
% 3.92/2.82 inference(rewrite,[status(thm)],[])).
% 3.92/2.82 tff(1127,plain,
% 3.92/2.82 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s8, c_n2) | (~node4(s8)))),
% 3.92/2.82 inference(quant_inst,[status(thm)],[])).
% 3.92/2.82 tff(1128,plain,
% 3.92/2.82 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s8, c_n2) | (~node4(s8))),
% 3.92/2.82 inference(modus_ponens,[status(thm)],[1127, 1126])).
% 3.92/2.82 tff(1129,plain,
% 3.92/2.82 (~node4(s8)),
% 3.92/2.82 inference(unit_resolution,[status(thm)],[1128, 388, 1125])).
% 3.92/2.82 tff(1130,plain,
% 3.92/2.82 (succ(s8, s9) <=> succ(s8, s9)),
% 3.92/2.82 inference(rewrite,[status(thm)],[])).
% 3.92/2.82 tff(1131,axiom,(succ(s8, s9)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound9')).
% 3.92/2.82 tff(1132,plain,
% 3.92/2.82 (succ(s8, s9)),
% 3.92/2.82 inference(modus_ponens,[status(thm)],[1131, 1130])).
% 3.92/2.82 tff(1133,plain,
% 3.92/2.82 (((~![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))),
% 3.92/2.82 inference(rewrite,[status(thm)],[])).
% 3.92/2.82 tff(1134,plain,
% 3.92/2.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s8, s9)) | trans(s8, s9))),
% 3.92/2.82 inference(quant_inst,[status(thm)],[])).
% 3.92/2.82 tff(1135,plain,
% 3.92/2.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s8, s9)) | trans(s8, s9)),
% 3.92/2.82 inference(modus_ponens,[status(thm)],[1134, 1133])).
% 3.92/2.82 tff(1136,plain,
% 3.92/2.82 (trans(s8, s9)),
% 3.92/2.82 inference(unit_resolution,[status(thm)],[1135, 1132, 32])).
% 3.92/2.82 tff(1137,plain,
% 3.92/2.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s8, s9)) | node7(s8, s9))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s8, s9)) | node7(s8, s9))),
% 3.92/2.82 inference(rewrite,[status(thm)],[])).
% 3.92/2.82 tff(1138,plain,
% 3.92/2.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s8, s9)) | node7(s8, s9))),
% 3.92/2.82 inference(quant_inst,[status(thm)],[])).
% 3.92/2.82 tff(1139,plain,
% 3.92/2.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s8, s9)) | node7(s8, s9)),
% 3.92/2.82 inference(modus_ponens,[status(thm)],[1138, 1137])).
% 3.92/2.82 tff(1140,plain,
% 3.92/2.82 (node7(s8, s9)),
% 3.92/2.82 inference(unit_resolution,[status(thm)],[1139, 206, 1136])).
% 3.92/2.82 tff(1141,plain,
% 3.92/2.82 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s8, c_c1) | node1(s8) | node2(s8) | node3(s8) | node4(s8) | node5(s8) | node6(s8, s9) | (~node7(s8, s9)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s8, c_c1) | node1(s8) | node2(s8) | node3(s8) | node4(s8) | node5(s8) | node6(s8, s9) | (~node7(s8, s9)))),
% 3.92/2.82 inference(rewrite,[status(thm)],[])).
% 3.92/2.82 tff(1142,plain,
% 3.92/2.82 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s8, c_c1) | node1(s8) | node2(s8) | node3(s8) | node4(s8) | node5(s8) | node6(s8, s9) | (~node7(s8, s9)))),
% 3.92/2.82 inference(quant_inst,[status(thm)],[])).
% 3.92/2.82 tff(1143,plain,
% 3.92/2.82 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s8, c_c1) | node1(s8) | node2(s8) | node3(s8) | node4(s8) | node5(s8) | node6(s8, s9) | (~node7(s8, s9))),
% 3.92/2.82 inference(modus_ponens,[status(thm)],[1142, 1141])).
% 3.92/2.82 tff(1144,plain,
% 3.92/2.82 (m_main_v_state1(s8, c_c1) | node1(s8) | node2(s8) | node3(s8) | node4(s8) | node5(s8) | node6(s8, s9)),
% 3.92/2.82 inference(unit_resolution,[status(thm)],[1143, 820, 1140])).
% 3.92/2.82 tff(1145,plain,
% 3.92/2.82 (node6(s8, s9)),
% 3.92/2.82 inference(unit_resolution,[status(thm)],[1144, 1129, 1093, 1089, 1085, 1081, 1064])).
% 3.92/2.82 tff(1146,plain,
% 3.92/2.82 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s8, c_t1)) | m_main_v_state1(s9, c_t1) | (~node6(s8, s9)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s8, c_t1)) | m_main_v_state1(s9, c_t1) | (~node6(s8, s9)))),
% 3.92/2.82 inference(rewrite,[status(thm)],[])).
% 3.92/2.82 tff(1147,plain,
% 3.92/2.82 (((~node6(s8, s9)) | (~m_main_v_state1(s8, c_t1)) | m_main_v_state1(s9, c_t1)) <=> ((~m_main_v_state1(s8, c_t1)) | m_main_v_state1(s9, c_t1) | (~node6(s8, s9)))),
% 3.92/2.82 inference(rewrite,[status(thm)],[])).
% 3.92/2.82 tff(1148,plain,
% 3.92/2.82 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s8, s9)) | (~m_main_v_state1(s8, c_t1)) | m_main_v_state1(s9, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s8, c_t1)) | m_main_v_state1(s9, c_t1) | (~node6(s8, s9))))),
% 3.92/2.82 inference(monotonicity,[status(thm)],[1147])).
% 3.92/2.82 tff(1149,plain,
% 3.92/2.82 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s8, s9)) | (~m_main_v_state1(s8, c_t1)) | m_main_v_state1(s9, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s8, c_t1)) | m_main_v_state1(s9, c_t1) | (~node6(s8, s9)))),
% 3.92/2.82 inference(transitivity,[status(thm)],[1148, 1146])).
% 3.92/2.82 tff(1150,plain,
% 3.92/2.82 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s8, s9)) | (~m_main_v_state1(s8, c_t1)) | m_main_v_state1(s9, c_t1))),
% 3.92/2.82 inference(quant_inst,[status(thm)],[])).
% 3.92/2.82 tff(1151,plain,
% 3.92/2.82 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s8, c_t1)) | m_main_v_state1(s9, c_t1) | (~node6(s8, s9))),
% 3.92/2.82 inference(modus_ponens,[status(thm)],[1150, 1149])).
% 3.92/2.82 tff(1152,plain,
% 3.92/2.82 (m_main_v_state1(s9, c_t1)),
% 3.92/2.82 inference(unit_resolution,[status(thm)],[1151, 856, 1056, 1145])).
% 3.92/2.82 tff(1153,plain,
% 3.92/2.82 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s8, c_t2)) | (~m_main_v_state2(s8, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s8, c_t2)) | (~m_main_v_state2(s8, c_c2)))),
% 3.92/2.82 inference(rewrite,[status(thm)],[])).
% 3.92/2.82 tff(1154,plain,
% 3.92/2.82 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s8, c_t2)) | (~m_main_v_state2(s8, c_c2)))),
% 3.92/2.82 inference(quant_inst,[status(thm)],[])).
% 3.92/2.82 tff(1155,plain,
% 3.92/2.82 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s8, c_t2)) | (~m_main_v_state2(s8, c_c2))),
% 3.92/2.82 inference(modus_ponens,[status(thm)],[1154, 1153])).
% 3.92/2.82 tff(1156,plain,
% 3.92/2.82 (~m_main_v_state2(s8, c_t2)),
% 3.92/2.82 inference(unit_resolution,[status(thm)],[1155, 260, 1121])).
% 3.92/2.82 tff(1157,plain,
% 3.92/2.82 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s8, c_t2) | (~node12(s8)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s8, c_t2) | (~node12(s8)))),
% 3.92/2.82 inference(rewrite,[status(thm)],[])).
% 3.92/2.82 tff(1158,plain,
% 3.92/2.82 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s8, c_t2) | (~node12(s8)))),
% 3.92/2.82 inference(quant_inst,[status(thm)],[])).
% 3.92/2.82 tff(1159,plain,
% 3.92/2.82 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s8, c_t2) | (~node12(s8))),
% 3.92/2.82 inference(modus_ponens,[status(thm)],[1158, 1157])).
% 3.92/2.82 tff(1160,plain,
% 3.92/2.82 (~node12(s8)),
% 3.92/2.82 inference(unit_resolution,[status(thm)],[1159, 633, 1156])).
% 3.92/2.82 tff(1161,plain,
% 3.92/2.82 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s8, c_n1) | (~node11(s8)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s8, c_n1) | (~node11(s8)))),
% 3.92/2.82 inference(rewrite,[status(thm)],[])).
% 3.92/2.82 tff(1162,plain,
% 3.92/2.82 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s8, c_n1) | (~node11(s8)))),
% 3.92/2.82 inference(quant_inst,[status(thm)],[])).
% 3.92/2.82 tff(1163,plain,
% 3.92/2.82 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s8, c_n1) | (~node11(s8))),
% 3.92/2.82 inference(modus_ponens,[status(thm)],[1162, 1161])).
% 3.92/2.82 tff(1164,plain,
% 3.92/2.82 (~node11(s8)),
% 3.92/2.82 inference(unit_resolution,[status(thm)],[1163, 238, 1060])).
% 3.92/2.82 tff(1165,plain,
% 3.92/2.82 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s8, c_c1) | (~node10(s8)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s8, c_c1) | (~node10(s8)))),
% 3.92/2.82 inference(rewrite,[status(thm)],[])).
% 3.92/2.82 tff(1166,plain,
% 3.92/2.82 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s8, c_c1) | (~node10(s8)))),
% 3.92/2.82 inference(quant_inst,[status(thm)],[])).
% 3.92/2.82 tff(1167,plain,
% 3.92/2.82 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s8, c_c1) | (~node10(s8))),
% 3.92/2.82 inference(modus_ponens,[status(thm)],[1166, 1165])).
% 3.92/2.82 tff(1168,plain,
% 3.92/2.82 (~node10(s8)),
% 3.92/2.82 inference(unit_resolution,[status(thm)],[1167, 675, 1093])).
% 3.92/2.82 tff(1169,plain,
% 3.92/2.82 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s8, c_n1) | (~node9(s8)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s8, c_n1) | (~node9(s8)))),
% 3.92/2.83 inference(rewrite,[status(thm)],[])).
% 3.92/2.83 tff(1170,plain,
% 3.92/2.83 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s8, c_n1) | (~node9(s8)))),
% 3.92/2.83 inference(quant_inst,[status(thm)],[])).
% 3.92/2.83 tff(1171,plain,
% 3.92/2.83 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s8, c_n1) | (~node9(s8))),
% 3.92/2.83 inference(modus_ponens,[status(thm)],[1170, 1169])).
% 3.92/2.83 tff(1172,plain,
% 3.92/2.83 (~node9(s8)),
% 3.92/2.83 inference(unit_resolution,[status(thm)],[1171, 686, 1060])).
% 3.92/2.83 tff(1173,plain,
% 3.92/2.83 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s8, c_n2) | (~node8(s8)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s8, c_n2) | (~node8(s8)))),
% 3.92/2.83 inference(rewrite,[status(thm)],[])).
% 3.92/2.83 tff(1174,plain,
% 3.92/2.83 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s8, c_n2) | (~node8(s8)))),
% 3.92/2.83 inference(quant_inst,[status(thm)],[])).
% 3.92/2.83 tff(1175,plain,
% 3.92/2.83 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s8, c_n2) | (~node8(s8))),
% 3.92/2.83 inference(modus_ponens,[status(thm)],[1174, 1173])).
% 3.92/2.83 tff(1176,plain,
% 3.92/2.83 (~node8(s8)),
% 3.92/2.83 inference(unit_resolution,[status(thm)],[1175, 271, 1125])).
% 3.92/2.83 tff(1177,plain,
% 3.92/2.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s8, s9)) | node14(s8, s9))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s8, s9)) | node14(s8, s9))),
% 3.92/2.83 inference(rewrite,[status(thm)],[])).
% 3.92/2.83 tff(1178,plain,
% 3.92/2.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s8, s9)) | node14(s8, s9))),
% 3.92/2.83 inference(quant_inst,[status(thm)],[])).
% 3.92/2.83 tff(1179,plain,
% 3.92/2.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s8, s9)) | node14(s8, s9)),
% 3.92/2.83 inference(modus_ponens,[status(thm)],[1178, 1177])).
% 3.92/2.83 tff(1180,plain,
% 3.92/2.83 (node14(s8, s9)),
% 3.92/2.83 inference(unit_resolution,[status(thm)],[1179, 46, 1136])).
% 3.92/2.83 tff(1181,plain,
% 3.92/2.83 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s9, c_n2) | node9(s8) | node8(s8) | node10(s8) | node11(s8) | node12(s8) | (~node14(s8, s9)) | (~m_main_v_state2(s8, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s9, c_n2) | node9(s8) | node8(s8) | node10(s8) | node11(s8) | node12(s8) | (~node14(s8, s9)) | (~m_main_v_state2(s8, c_c2)))),
% 3.92/2.83 inference(rewrite,[status(thm)],[])).
% 3.92/2.83 tff(1182,plain,
% 3.92/2.83 (((~m_main_v_state2(s8, c_c2)) | node9(s8) | node8(s8) | node10(s8) | node11(s8) | node12(s8) | (~node14(s8, s9)) | m_main_v_state2(s9, c_n2)) <=> (m_main_v_state2(s9, c_n2) | node9(s8) | node8(s8) | node10(s8) | node11(s8) | node12(s8) | (~node14(s8, s9)) | (~m_main_v_state2(s8, c_c2)))),
% 3.92/2.83 inference(rewrite,[status(thm)],[])).
% 3.92/2.83 tff(1183,plain,
% 3.92/2.83 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s8, c_c2)) | node9(s8) | node8(s8) | node10(s8) | node11(s8) | node12(s8) | (~node14(s8, s9)) | m_main_v_state2(s9, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s9, c_n2) | node9(s8) | node8(s8) | node10(s8) | node11(s8) | node12(s8) | (~node14(s8, s9)) | (~m_main_v_state2(s8, c_c2))))),
% 3.92/2.83 inference(monotonicity,[status(thm)],[1182])).
% 3.92/2.83 tff(1184,plain,
% 3.92/2.83 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s8, c_c2)) | node9(s8) | node8(s8) | node10(s8) | node11(s8) | node12(s8) | (~node14(s8, s9)) | m_main_v_state2(s9, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s9, c_n2) | node9(s8) | node8(s8) | node10(s8) | node11(s8) | node12(s8) | (~node14(s8, s9)) | (~m_main_v_state2(s8, c_c2)))),
% 3.92/2.83 inference(transitivity,[status(thm)],[1183, 1181])).
% 3.92/2.83 tff(1185,plain,
% 3.92/2.83 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s8, c_c2)) | node9(s8) | node8(s8) | node10(s8) | node11(s8) | node12(s8) | (~node14(s8, s9)) | m_main_v_state2(s9, c_n2))),
% 3.92/2.83 inference(quant_inst,[status(thm)],[])).
% 3.92/2.83 tff(1186,plain,
% 3.92/2.83 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s9, c_n2) | node9(s8) | node8(s8) | node10(s8) | node11(s8) | node12(s8) | (~node14(s8, s9)) | (~m_main_v_state2(s8, c_c2))),
% 3.92/2.83 inference(modus_ponens,[status(thm)],[1185, 1184])).
% 3.92/2.83 tff(1187,plain,
% 3.92/2.83 (m_main_v_state2(s9, c_n2) | node9(s8) | node8(s8) | node10(s8) | node11(s8) | node12(s8) | (~m_main_v_state2(s8, c_c2))),
% 3.92/2.83 inference(unit_resolution,[status(thm)],[1186, 726, 1180])).
% 3.92/2.83 tff(1188,plain,
% 3.92/2.83 (m_main_v_state2(s9, c_n2)),
% 3.92/2.83 inference(unit_resolution,[status(thm)],[1187, 1176, 1121, 1172, 1168, 1164, 1160])).
% 3.92/2.83 tff(1189,plain,
% 3.92/2.83 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s9, c_n2)) | (~m_main_v_state2(s9, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s9, c_n2)) | (~m_main_v_state2(s9, c_t2)))),
% 3.92/2.83 inference(rewrite,[status(thm)],[])).
% 3.92/2.83 tff(1190,plain,
% 3.92/2.83 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s9, c_n2)) | (~m_main_v_state2(s9, c_t2)))),
% 3.92/2.83 inference(quant_inst,[status(thm)],[])).
% 3.92/2.83 tff(1191,plain,
% 3.92/2.83 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s9, c_n2)) | (~m_main_v_state2(s9, c_t2))),
% 3.92/2.83 inference(modus_ponens,[status(thm)],[1190, 1189])).
% 3.92/2.83 tff(1192,plain,
% 3.92/2.83 (~m_main_v_state2(s9, c_t2)),
% 3.92/2.83 inference(unit_resolution,[status(thm)],[1191, 77, 1188])).
% 3.92/2.83 tff(1193,plain,
% 3.92/2.83 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s9, c_t2) | (~node15(s9)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s9, c_t2) | (~node15(s9)))),
% 3.92/2.83 inference(rewrite,[status(thm)],[])).
% 3.92/2.83 tff(1194,plain,
% 3.92/2.83 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s9, c_t2) | (~node15(s9)))),
% 3.92/2.83 inference(quant_inst,[status(thm)],[])).
% 3.92/2.83 tff(1195,plain,
% 3.92/2.83 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s9, c_t2) | (~node15(s9))),
% 3.92/2.83 inference(modus_ponens,[status(thm)],[1194, 1193])).
% 3.92/2.83 tff(1196,plain,
% 3.92/2.83 (~node15(s9)),
% 3.92/2.83 inference(unit_resolution,[status(thm)],[1195, 103, 1192])).
% 3.92/2.83 tff(1197,plain,
% 3.92/2.83 (succ(s9, s10) <=> succ(s9, s10)),
% 3.92/2.83 inference(rewrite,[status(thm)],[])).
% 3.92/2.83 tff(1198,axiom,(succ(s9, s10)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound10')).
% 3.92/2.83 tff(1199,plain,
% 3.92/2.83 (succ(s9, s10)),
% 3.92/2.83 inference(modus_ponens,[status(thm)],[1198, 1197])).
% 3.92/2.83 tff(1200,plain,
% 3.92/2.83 (((~![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))),
% 3.92/2.83 inference(rewrite,[status(thm)],[])).
% 3.92/2.83 tff(1201,plain,
% 3.92/2.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s9, s10)) | trans(s9, s10))),
% 3.92/2.83 inference(quant_inst,[status(thm)],[])).
% 3.92/2.83 tff(1202,plain,
% 3.92/2.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s9, s10)) | trans(s9, s10)),
% 3.92/2.83 inference(modus_ponens,[status(thm)],[1201, 1200])).
% 3.92/2.83 tff(1203,plain,
% 3.92/2.83 (trans(s9, s10)),
% 3.92/2.83 inference(unit_resolution,[status(thm)],[1202, 1199, 32])).
% 3.92/2.83 tff(1204,plain,
% 3.92/2.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s9, s10)) | node18(s9, s10))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s9, s10)) | node18(s9, s10))),
% 3.92/2.83 inference(rewrite,[status(thm)],[])).
% 3.92/2.83 tff(1205,plain,
% 3.92/2.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s9, s10)) | node18(s9, s10))),
% 3.92/2.83 inference(quant_inst,[status(thm)],[])).
% 3.92/2.83 tff(1206,plain,
% 3.92/2.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s9, s10)) | node18(s9, s10)),
% 3.92/2.83 inference(modus_ponens,[status(thm)],[1205, 1204])).
% 3.92/2.83 tff(1207,plain,
% 3.92/2.83 (node18(s9, s10)),
% 3.92/2.83 inference(unit_resolution,[status(thm)],[1206, 125, 1203])).
% 3.92/2.83 tff(1208,plain,
% 3.92/2.83 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s9) | (~node18(s9, s10)) | (~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | m_main_v_turn(s10, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s9) | (~node18(s9, s10)) | (~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | m_main_v_turn(s10, c_1))),
% 3.92/2.83 inference(rewrite,[status(thm)],[])).
% 3.92/2.83 tff(1209,plain,
% 3.92/2.83 (((~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | node15(s9) | (~node18(s9, s10)) | m_main_v_turn(s10, c_1)) <=> (node15(s9) | (~node18(s9, s10)) | (~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | m_main_v_turn(s10, c_1))),
% 3.92/2.83 inference(rewrite,[status(thm)],[])).
% 3.92/2.83 tff(1210,plain,
% 3.92/2.83 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | node15(s9) | (~node18(s9, s10)) | m_main_v_turn(s10, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s9) | (~node18(s9, s10)) | (~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | m_main_v_turn(s10, c_1)))),
% 3.92/2.83 inference(monotonicity,[status(thm)],[1209])).
% 3.92/2.83 tff(1211,plain,
% 3.92/2.83 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | node15(s9) | (~node18(s9, s10)) | m_main_v_turn(s10, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s9) | (~node18(s9, s10)) | (~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | m_main_v_turn(s10, c_1))),
% 3.92/2.83 inference(transitivity,[status(thm)],[1210, 1208])).
% 3.92/2.83 tff(1212,plain,
% 3.92/2.83 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | node15(s9) | (~node18(s9, s10)) | m_main_v_turn(s10, c_1))),
% 3.92/2.83 inference(quant_inst,[status(thm)],[])).
% 3.92/2.83 tff(1213,plain,
% 3.92/2.83 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s9) | (~node18(s9, s10)) | (~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | m_main_v_turn(s10, c_1)),
% 3.92/2.83 inference(modus_ponens,[status(thm)],[1212, 1211])).
% 3.92/2.83 tff(1214,plain,
% 3.92/2.83 (node15(s9) | (~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | m_main_v_turn(s10, c_1)),
% 3.92/2.83 inference(unit_resolution,[status(thm)],[1213, 992, 1207])).
% 3.92/2.83 tff(1215,plain,
% 3.92/2.83 (m_main_v_turn(s10, c_1)),
% 3.92/2.83 inference(unit_resolution,[status(thm)],[1214, 1196, 1188, 1152])).
% 3.92/2.83 tff(1216,plain,
% 3.92/2.83 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s10, c_1)) | (~m_main_v_turn(s10, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s10, c_1)) | (~m_main_v_turn(s10, c_2)))),
% 3.92/2.83 inference(rewrite,[status(thm)],[])).
% 3.92/2.83 tff(1217,plain,
% 3.92/2.83 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s10, c_1)) | (~m_main_v_turn(s10, c_2)))),
% 3.92/2.83 inference(quant_inst,[status(thm)],[])).
% 3.92/2.83 tff(1218,plain,
% 3.92/2.83 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s10, c_1)) | (~m_main_v_turn(s10, c_2))),
% 3.92/2.83 inference(modus_ponens,[status(thm)],[1217, 1216])).
% 3.92/2.83 tff(1219,plain,
% 3.92/2.83 (~m_main_v_turn(s10, c_2)),
% 3.92/2.83 inference(unit_resolution,[status(thm)],[1218, 156, 1215])).
% 3.92/2.83 tff(1220,plain,
% 3.92/2.83 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s10, c_2) | (~node12(s10)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s10, c_2) | (~node12(s10)))),
% 3.92/2.83 inference(rewrite,[status(thm)],[])).
% 3.92/2.83 tff(1221,plain,
% 3.92/2.83 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s10, c_2) | (~node12(s10)))),
% 3.92/2.83 inference(quant_inst,[status(thm)],[])).
% 3.92/2.83 tff(1222,plain,
% 3.92/2.83 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s10, c_2) | (~node12(s10))),
% 3.92/2.83 inference(modus_ponens,[status(thm)],[1221, 1220])).
% 3.92/2.83 tff(1223,plain,
% 3.92/2.83 (~node12(s10)),
% 3.92/2.83 inference(unit_resolution,[status(thm)],[1222, 184, 1219])).
% 3.92/2.83 tff(1224,plain,
% 3.92/2.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s9, s10)) | node14(s9, s10))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s9, s10)) | node14(s9, s10))),
% 3.92/2.83 inference(rewrite,[status(thm)],[])).
% 3.92/2.83 tff(1225,plain,
% 3.92/2.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s9, s10)) | node14(s9, s10))),
% 3.92/2.83 inference(quant_inst,[status(thm)],[])).
% 3.92/2.83 tff(1226,plain,
% 3.92/2.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s9, s10)) | node14(s9, s10)),
% 3.92/2.83 inference(modus_ponens,[status(thm)],[1225, 1224])).
% 3.92/2.83 tff(1227,plain,
% 3.92/2.83 (node14(s9, s10)),
% 3.92/2.83 inference(unit_resolution,[status(thm)],[1226, 46, 1203])).
% 3.92/2.83 tff(1228,plain,
% 3.92/2.83 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | (~node14(s9, s10)) | m_main_v_state2(s10, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | (~node14(s9, s10)) | m_main_v_state2(s10, c_t2))),
% 3.92/2.83 inference(rewrite,[status(thm)],[])).
% 3.92/2.83 tff(1229,plain,
% 3.92/2.83 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | (~node14(s9, s10)) | m_main_v_state2(s10, c_t2))),
% 3.92/2.83 inference(quant_inst,[status(thm)],[])).
% 3.92/2.83 tff(1230,plain,
% 3.92/2.83 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | (~node14(s9, s10)) | m_main_v_state2(s10, c_t2)),
% 3.92/2.83 inference(modus_ponens,[status(thm)],[1229, 1228])).
% 3.92/2.83 tff(1231,plain,
% 3.92/2.83 ((~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | m_main_v_state2(s10, c_t2)),
% 3.92/2.83 inference(unit_resolution,[status(thm)],[1230, 922, 1227])).
% 3.92/2.83 tff(1232,plain,
% 3.92/2.83 (m_main_v_state2(s10, c_t2)),
% 3.92/2.83 inference(unit_resolution,[status(thm)],[1231, 1152, 1188])).
% 3.92/2.83 tff(1233,plain,
% 3.92/2.83 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s10, c_n2)) | (~m_main_v_state2(s10, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s10, c_n2)) | (~m_main_v_state2(s10, c_t2)))),
% 3.92/2.83 inference(rewrite,[status(thm)],[])).
% 3.92/2.83 tff(1234,plain,
% 3.92/2.83 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s10, c_n2)) | (~m_main_v_state2(s10, c_t2)))),
% 3.92/2.83 inference(quant_inst,[status(thm)],[])).
% 3.92/2.83 tff(1235,plain,
% 3.92/2.83 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s10, c_n2)) | (~m_main_v_state2(s10, c_t2))),
% 3.92/2.83 inference(modus_ponens,[status(thm)],[1234, 1233])).
% 3.92/2.83 tff(1236,plain,
% 3.92/2.83 (~m_main_v_state2(s10, c_n2)),
% 3.92/2.83 inference(unit_resolution,[status(thm)],[1235, 77, 1232])).
% 3.92/2.83 tff(1237,plain,
% 3.92/2.83 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s10, c_n2) | (~node8(s10)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s10, c_n2) | (~node8(s10)))),
% 3.92/2.83 inference(rewrite,[status(thm)],[])).
% 3.92/2.83 tff(1238,plain,
% 3.92/2.83 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s10, c_n2) | (~node8(s10)))),
% 3.92/2.83 inference(quant_inst,[status(thm)],[])).
% 3.92/2.83 tff(1239,plain,
% 3.92/2.83 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s10, c_n2) | (~node8(s10))),
% 3.92/2.83 inference(modus_ponens,[status(thm)],[1238, 1237])).
% 3.92/2.83 tff(1240,plain,
% 3.92/2.83 (~node8(s10)),
% 3.92/2.83 inference(unit_resolution,[status(thm)],[1239, 271, 1236])).
% 3.92/2.83 tff(1241,plain,
% 3.92/2.83 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s10, c_n2) | (~node9(s10)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s10, c_n2) | (~node9(s10)))),
% 3.92/2.83 inference(rewrite,[status(thm)],[])).
% 3.92/2.83 tff(1242,plain,
% 3.92/2.83 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s10, c_n2) | (~node9(s10)))),
% 3.92/2.83 inference(quant_inst,[status(thm)],[])).
% 3.92/2.83 tff(1243,plain,
% 3.92/2.83 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s10, c_n2) | (~node9(s10))),
% 3.92/2.83 inference(modus_ponens,[status(thm)],[1242, 1241])).
% 3.92/2.83 tff(1244,plain,
% 3.92/2.83 (~node9(s10)),
% 3.92/2.83 inference(unit_resolution,[status(thm)],[1243, 88, 1236])).
% 3.92/2.83 tff(1245,plain,
% 3.92/2.83 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s10, c_n2) | (~node10(s10)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s10, c_n2) | (~node10(s10)))),
% 3.92/2.83 inference(rewrite,[status(thm)],[])).
% 3.92/2.83 tff(1246,plain,
% 3.92/2.83 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s10, c_n2) | (~node10(s10)))),
% 3.92/2.83 inference(quant_inst,[status(thm)],[])).
% 3.92/2.83 tff(1247,plain,
% 3.92/2.83 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s10, c_n2) | (~node10(s10))),
% 3.92/2.83 inference(modus_ponens,[status(thm)],[1246, 1245])).
% 3.92/2.83 tff(1248,plain,
% 3.92/2.83 (~node10(s10)),
% 3.92/2.83 inference(unit_resolution,[status(thm)],[1247, 249, 1236])).
% 3.92/2.83 tff(1249,plain,
% 3.92/2.83 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s10, c_t2)) | (~m_main_v_state2(s10, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s10, c_t2)) | (~m_main_v_state2(s10, c_c2)))),
% 3.92/2.83 inference(rewrite,[status(thm)],[])).
% 3.92/2.83 tff(1250,plain,
% 3.92/2.83 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s10, c_t2)) | (~m_main_v_state2(s10, c_c2)))),
% 3.92/2.83 inference(quant_inst,[status(thm)],[])).
% 3.92/2.83 tff(1251,plain,
% 3.92/2.83 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s10, c_t2)) | (~m_main_v_state2(s10, c_c2))),
% 3.92/2.83 inference(modus_ponens,[status(thm)],[1250, 1249])).
% 3.92/2.83 tff(1252,plain,
% 3.92/2.83 (~m_main_v_state2(s10, c_c2)),
% 3.92/2.83 inference(unit_resolution,[status(thm)],[1251, 260, 1232])).
% 3.92/2.83 tff(1253,plain,
% 3.92/2.83 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s9, c_n2)) | (~m_main_v_state2(s9, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s9, c_n2)) | (~m_main_v_state2(s9, c_c2)))),
% 3.92/2.83 inference(rewrite,[status(thm)],[])).
% 3.92/2.83 tff(1254,plain,
% 3.92/2.83 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s9, c_n2)) | (~m_main_v_state2(s9, c_c2)))),
% 3.92/2.83 inference(quant_inst,[status(thm)],[])).
% 3.92/2.83 tff(1255,plain,
% 3.92/2.83 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s9, c_n2)) | (~m_main_v_state2(s9, c_c2))),
% 3.92/2.83 inference(modus_ponens,[status(thm)],[1254, 1253])).
% 3.92/2.83 tff(1256,plain,
% 3.92/2.83 (~m_main_v_state2(s9, c_c2)),
% 3.92/2.83 inference(unit_resolution,[status(thm)],[1255, 697, 1188])).
% 3.92/2.83 tff(1257,plain,
% 3.92/2.83 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s9, c_c2) | (~node3(s9)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s9, c_c2) | (~node3(s9)))),
% 3.92/2.83 inference(rewrite,[status(thm)],[])).
% 3.92/2.83 tff(1258,plain,
% 3.92/2.83 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s9, c_c2) | (~node3(s9)))),
% 3.92/2.83 inference(quant_inst,[status(thm)],[])).
% 3.92/2.83 tff(1259,plain,
% 3.92/2.83 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s9, c_c2) | (~node3(s9))),
% 3.92/2.83 inference(modus_ponens,[status(thm)],[1258, 1257])).
% 3.92/2.83 tff(1260,plain,
% 3.92/2.83 (~node3(s9)),
% 3.92/2.83 inference(unit_resolution,[status(thm)],[1259, 399, 1256])).
% 3.92/2.83 tff(1261,plain,
% 3.92/2.83 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s8, c_n1) | (~m_main_v_state1(s9, c_n1)) | (~node6(s8, s9)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s8, c_n1) | (~m_main_v_state1(s9, c_n1)) | (~node6(s8, s9)))),
% 3.92/2.83 inference(rewrite,[status(thm)],[])).
% 3.92/2.83 tff(1262,plain,
% 3.92/2.83 (((~node6(s8, s9)) | m_main_v_state1(s8, c_n1) | (~m_main_v_state1(s9, c_n1))) <=> (m_main_v_state1(s8, c_n1) | (~m_main_v_state1(s9, c_n1)) | (~node6(s8, s9)))),
% 3.92/2.83 inference(rewrite,[status(thm)],[])).
% 3.92/2.83 tff(1263,plain,
% 3.92/2.83 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s8, s9)) | m_main_v_state1(s8, c_n1) | (~m_main_v_state1(s9, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s8, c_n1) | (~m_main_v_state1(s9, c_n1)) | (~node6(s8, s9))))),
% 3.92/2.83 inference(monotonicity,[status(thm)],[1262])).
% 3.92/2.83 tff(1264,plain,
% 3.92/2.83 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s8, s9)) | m_main_v_state1(s8, c_n1) | (~m_main_v_state1(s9, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s8, c_n1) | (~m_main_v_state1(s9, c_n1)) | (~node6(s8, s9)))),
% 3.92/2.83 inference(transitivity,[status(thm)],[1263, 1261])).
% 3.92/2.83 tff(1265,plain,
% 3.92/2.83 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s8, s9)) | m_main_v_state1(s8, c_n1) | (~m_main_v_state1(s9, c_n1)))),
% 3.92/2.83 inference(quant_inst,[status(thm)],[])).
% 3.92/2.83 tff(1266,plain,
% 3.92/2.83 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s8, c_n1) | (~m_main_v_state1(s9, c_n1)) | (~node6(s8, s9))),
% 3.92/2.83 inference(modus_ponens,[status(thm)],[1265, 1264])).
% 3.92/2.83 tff(1267,plain,
% 3.92/2.83 (~m_main_v_state1(s9, c_n1)),
% 3.92/2.83 inference(unit_resolution,[status(thm)],[1266, 835, 1060, 1145])).
% 3.92/2.83 tff(1268,plain,
% 3.92/2.83 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s9, c_n1) | (~node2(s9)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s9, c_n1) | (~node2(s9)))),
% 3.92/2.83 inference(rewrite,[status(thm)],[])).
% 3.92/2.83 tff(1269,plain,
% 3.92/2.83 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s9, c_n1) | (~node2(s9)))),
% 3.92/2.83 inference(quant_inst,[status(thm)],[])).
% 3.92/2.83 tff(1270,plain,
% 3.92/2.83 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s9, c_n1) | (~node2(s9))),
% 3.92/2.83 inference(modus_ponens,[status(thm)],[1269, 1268])).
% 3.92/2.83 tff(1271,plain,
% 3.92/2.83 (~node2(s9)),
% 3.92/2.83 inference(unit_resolution,[status(thm)],[1270, 787, 1267])).
% 3.92/2.83 tff(1272,plain,
% 3.92/2.83 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s9, c_t2) | (~node1(s9)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s9, c_t2) | (~node1(s9)))),
% 3.92/2.83 inference(rewrite,[status(thm)],[])).
% 3.92/2.83 tff(1273,plain,
% 3.92/2.83 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s9, c_t2) | (~node1(s9)))),
% 3.92/2.83 inference(quant_inst,[status(thm)],[])).
% 3.92/2.83 tff(1274,plain,
% 3.92/2.83 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s9, c_t2) | (~node1(s9))),
% 3.92/2.83 inference(modus_ponens,[status(thm)],[1273, 1272])).
% 3.92/2.83 tff(1275,plain,
% 3.92/2.84 (~node1(s9)),
% 3.92/2.84 inference(unit_resolution,[status(thm)],[1274, 195, 1192])).
% 3.92/2.84 tff(1276,plain,
% 3.92/2.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s9, s10)) | node7(s9, s10))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s9, s10)) | node7(s9, s10))),
% 3.92/2.84 inference(rewrite,[status(thm)],[])).
% 3.92/2.84 tff(1277,plain,
% 3.92/2.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s9, s10)) | node7(s9, s10))),
% 3.92/2.84 inference(quant_inst,[status(thm)],[])).
% 3.92/2.84 tff(1278,plain,
% 3.92/2.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s9, s10)) | node7(s9, s10)),
% 3.92/2.84 inference(modus_ponens,[status(thm)],[1277, 1276])).
% 3.92/2.84 tff(1279,plain,
% 3.92/2.84 (node7(s9, s10)),
% 3.92/2.84 inference(unit_resolution,[status(thm)],[1278, 206, 1203])).
% 3.92/2.84 tff(1280,plain,
% 3.92/2.84 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | m_main_v_state1(s10, c_c1) | node1(s9) | node2(s9) | node3(s9) | (~node7(s9, s10)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | m_main_v_state1(s10, c_c1) | node1(s9) | node2(s9) | node3(s9) | (~node7(s9, s10)))),
% 3.92/2.84 inference(rewrite,[status(thm)],[])).
% 3.92/2.84 tff(1281,plain,
% 3.92/2.84 (((~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | node1(s9) | node2(s9) | node3(s9) | (~node7(s9, s10)) | m_main_v_state1(s10, c_c1)) <=> ((~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | m_main_v_state1(s10, c_c1) | node1(s9) | node2(s9) | node3(s9) | (~node7(s9, s10)))),
% 3.92/2.84 inference(rewrite,[status(thm)],[])).
% 3.92/2.84 tff(1282,plain,
% 3.92/2.84 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | node1(s9) | node2(s9) | node3(s9) | (~node7(s9, s10)) | m_main_v_state1(s10, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | m_main_v_state1(s10, c_c1) | node1(s9) | node2(s9) | node3(s9) | (~node7(s9, s10))))),
% 3.92/2.84 inference(monotonicity,[status(thm)],[1281])).
% 3.92/2.84 tff(1283,plain,
% 3.92/2.84 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | node1(s9) | node2(s9) | node3(s9) | (~node7(s9, s10)) | m_main_v_state1(s10, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | m_main_v_state1(s10, c_c1) | node1(s9) | node2(s9) | node3(s9) | (~node7(s9, s10)))),
% 3.92/2.84 inference(transitivity,[status(thm)],[1282, 1280])).
% 3.92/2.84 tff(1284,plain,
% 3.92/2.84 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | node1(s9) | node2(s9) | node3(s9) | (~node7(s9, s10)) | m_main_v_state1(s10, c_c1))),
% 3.92/2.84 inference(quant_inst,[status(thm)],[])).
% 3.92/2.84 tff(1285,plain,
% 3.92/2.84 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | m_main_v_state1(s10, c_c1) | node1(s9) | node2(s9) | node3(s9) | (~node7(s9, s10))),
% 3.92/2.84 inference(modus_ponens,[status(thm)],[1284, 1283])).
% 3.92/2.84 tff(1286,plain,
% 3.92/2.84 ((~m_main_v_state1(s9, c_t1)) | (~m_main_v_state2(s9, c_n2)) | m_main_v_state1(s10, c_c1) | node1(s9) | node2(s9) | node3(s9)),
% 3.92/2.84 inference(unit_resolution,[status(thm)],[1285, 892, 1279])).
% 3.92/2.84 tff(1287,plain,
% 3.92/2.84 (m_main_v_state1(s10, c_c1)),
% 3.92/2.84 inference(unit_resolution,[status(thm)],[1286, 1275, 1188, 1152, 1271, 1260])).
% 3.92/2.84 tff(1288,plain,
% 3.92/2.84 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s10, c_n1)) | (~m_main_v_state1(s10, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s10, c_n1)) | (~m_main_v_state1(s10, c_c1)))),
% 3.92/2.84 inference(rewrite,[status(thm)],[])).
% 3.92/2.84 tff(1289,plain,
% 3.92/2.84 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s10, c_n1)) | (~m_main_v_state1(s10, c_c1)))),
% 3.92/2.84 inference(quant_inst,[status(thm)],[])).
% 3.92/2.84 tff(1290,plain,
% 3.92/2.84 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s10, c_n1)) | (~m_main_v_state1(s10, c_c1))),
% 3.92/2.84 inference(modus_ponens,[status(thm)],[1289, 1288])).
% 3.92/2.84 tff(1291,plain,
% 3.92/2.84 (~m_main_v_state1(s10, c_n1)),
% 3.92/2.84 inference(unit_resolution,[status(thm)],[1290, 454, 1287])).
% 3.92/2.84 tff(1292,plain,
% 3.92/2.84 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s10, c_n1) | (~node11(s10)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s10, c_n1) | (~node11(s10)))),
% 3.92/2.84 inference(rewrite,[status(thm)],[])).
% 3.92/2.84 tff(1293,plain,
% 3.92/2.84 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s10, c_n1) | (~node11(s10)))),
% 3.92/2.84 inference(quant_inst,[status(thm)],[])).
% 3.92/2.84 tff(1294,plain,
% 3.92/2.84 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s10, c_n1) | (~node11(s10))),
% 3.92/2.84 inference(modus_ponens,[status(thm)],[1293, 1292])).
% 3.92/2.84 tff(1295,plain,
% 3.92/2.84 (~node11(s10)),
% 3.92/2.84 inference(unit_resolution,[status(thm)],[1294, 238, 1291])).
% 3.92/2.84 tff(1296,plain,
% 3.92/2.84 (succ(s10, s11) <=> succ(s10, s11)),
% 3.92/2.84 inference(rewrite,[status(thm)],[])).
% 3.92/2.84 tff(1297,axiom,(succ(s10, s11)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound11')).
% 3.92/2.84 tff(1298,plain,
% 3.92/2.84 (succ(s10, s11)),
% 3.92/2.84 inference(modus_ponens,[status(thm)],[1297, 1296])).
% 3.92/2.84 tff(1299,plain,
% 3.92/2.84 (((~![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))),
% 3.92/2.84 inference(rewrite,[status(thm)],[])).
% 3.92/2.84 tff(1300,plain,
% 3.92/2.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s10, s11)) | trans(s10, s11))),
% 3.92/2.84 inference(quant_inst,[status(thm)],[])).
% 3.92/2.84 tff(1301,plain,
% 3.92/2.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s10, s11)) | trans(s10, s11)),
% 3.92/2.84 inference(modus_ponens,[status(thm)],[1300, 1299])).
% 3.92/2.84 tff(1302,plain,
% 3.92/2.84 (trans(s10, s11)),
% 3.92/2.84 inference(unit_resolution,[status(thm)],[1301, 1298, 32])).
% 3.92/2.84 tff(1303,plain,
% 3.92/2.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s10, s11)) | node14(s10, s11))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s10, s11)) | node14(s10, s11))),
% 3.92/2.84 inference(rewrite,[status(thm)],[])).
% 3.92/2.84 tff(1304,plain,
% 3.92/2.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s10, s11)) | node14(s10, s11))),
% 3.92/2.84 inference(quant_inst,[status(thm)],[])).
% 3.92/2.84 tff(1305,plain,
% 3.92/2.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s10, s11)) | node14(s10, s11)),
% 3.92/2.84 inference(modus_ponens,[status(thm)],[1304, 1303])).
% 3.92/2.84 tff(1306,plain,
% 3.92/2.84 (node14(s10, s11)),
% 3.92/2.84 inference(unit_resolution,[status(thm)],[1305, 46, 1302])).
% 3.92/2.84 tff(1307,plain,
% 3.92/2.84 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s10, c_c2) | node9(s10) | node8(s10) | node10(s10) | node11(s10) | node12(s10) | node13(s10, s11) | (~node14(s10, s11)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s10, c_c2) | node9(s10) | node8(s10) | node10(s10) | node11(s10) | node12(s10) | node13(s10, s11) | (~node14(s10, s11)))),
% 3.92/2.84 inference(rewrite,[status(thm)],[])).
% 3.92/2.84 tff(1308,plain,
% 3.92/2.84 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s10, c_c2) | node9(s10) | node8(s10) | node10(s10) | node11(s10) | node12(s10) | node13(s10, s11) | (~node14(s10, s11)))),
% 3.92/2.84 inference(quant_inst,[status(thm)],[])).
% 3.92/2.84 tff(1309,plain,
% 3.92/2.84 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s10, c_c2) | node9(s10) | node8(s10) | node10(s10) | node11(s10) | node12(s10) | node13(s10, s11) | (~node14(s10, s11))),
% 3.92/2.84 inference(modus_ponens,[status(thm)],[1308, 1307])).
% 3.92/2.84 tff(1310,plain,
% 3.92/2.84 (m_main_v_state2(s10, c_c2) | node9(s10) | node8(s10) | node10(s10) | node11(s10) | node12(s10) | node13(s10, s11)),
% 3.92/2.84 inference(unit_resolution,[status(thm)],[1309, 296, 1306])).
% 3.92/2.84 tff(1311,plain,
% 3.92/2.84 (node13(s10, s11)),
% 3.92/2.84 inference(unit_resolution,[status(thm)],[1310, 1295, 1252, 1248, 1244, 1240, 1223])).
% 3.92/2.84 tff(1312,plain,
% 3.92/2.84 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s10, c_n2) | (~m_main_v_state2(s11, c_n2)) | (~node13(s10, s11)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s10, c_n2) | (~m_main_v_state2(s11, c_n2)) | (~node13(s10, s11)))),
% 3.92/2.84 inference(rewrite,[status(thm)],[])).
% 3.92/2.84 tff(1313,plain,
% 3.92/2.84 (((~node13(s10, s11)) | m_main_v_state2(s10, c_n2) | (~m_main_v_state2(s11, c_n2))) <=> (m_main_v_state2(s10, c_n2) | (~m_main_v_state2(s11, c_n2)) | (~node13(s10, s11)))),
% 3.92/2.84 inference(rewrite,[status(thm)],[])).
% 3.92/2.84 tff(1314,plain,
% 3.92/2.84 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s10, s11)) | m_main_v_state2(s10, c_n2) | (~m_main_v_state2(s11, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s10, c_n2) | (~m_main_v_state2(s11, c_n2)) | (~node13(s10, s11))))),
% 3.92/2.84 inference(monotonicity,[status(thm)],[1313])).
% 3.92/2.84 tff(1315,plain,
% 3.92/2.84 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s10, s11)) | m_main_v_state2(s10, c_n2) | (~m_main_v_state2(s11, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s10, c_n2) | (~m_main_v_state2(s11, c_n2)) | (~node13(s10, s11)))),
% 3.92/2.84 inference(transitivity,[status(thm)],[1314, 1312])).
% 3.92/2.84 tff(1316,plain,
% 3.92/2.84 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s10, s11)) | m_main_v_state2(s10, c_n2) | (~m_main_v_state2(s11, c_n2)))),
% 3.92/2.84 inference(quant_inst,[status(thm)],[])).
% 3.92/2.84 tff(1317,plain,
% 3.92/2.84 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s10, c_n2) | (~m_main_v_state2(s11, c_n2)) | (~node13(s10, s11))),
% 3.92/2.84 inference(modus_ponens,[status(thm)],[1316, 1315])).
% 3.92/2.84 tff(1318,plain,
% 3.92/2.84 (~m_main_v_state2(s11, c_n2)),
% 3.92/2.84 inference(unit_resolution,[status(thm)],[1317, 311, 1236, 1311])).
% 3.92/2.84 tff(1319,plain,
% 3.92/2.84 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s11, c_n2) | (~node9(s11)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s11, c_n2) | (~node9(s11)))),
% 3.92/2.84 inference(rewrite,[status(thm)],[])).
% 3.92/2.84 tff(1320,plain,
% 3.92/2.84 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s11, c_n2) | (~node9(s11)))),
% 3.92/2.84 inference(quant_inst,[status(thm)],[])).
% 3.92/2.84 tff(1321,plain,
% 3.92/2.84 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s11, c_n2) | (~node9(s11))),
% 3.92/2.84 inference(modus_ponens,[status(thm)],[1320, 1319])).
% 3.92/2.84 tff(1322,plain,
% 3.92/2.84 (~node9(s11)),
% 3.92/2.84 inference(unit_resolution,[status(thm)],[1321, 88, 1318])).
% 3.92/2.84 tff(1323,plain,
% 3.92/2.84 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s11, c_n2) | (~node10(s11)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s11, c_n2) | (~node10(s11)))),
% 3.92/2.84 inference(rewrite,[status(thm)],[])).
% 3.92/2.84 tff(1324,plain,
% 3.92/2.84 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s11, c_n2) | (~node10(s11)))),
% 3.92/2.84 inference(quant_inst,[status(thm)],[])).
% 3.92/2.84 tff(1325,plain,
% 3.92/2.84 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s11, c_n2) | (~node10(s11))),
% 3.92/2.84 inference(modus_ponens,[status(thm)],[1324, 1323])).
% 3.92/2.84 tff(1326,plain,
% 3.92/2.84 (~node10(s11)),
% 3.92/2.84 inference(unit_resolution,[status(thm)],[1325, 249, 1318])).
% 3.92/2.84 tff(1327,plain,
% 3.92/2.84 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s10, c_t2)) | m_main_v_state2(s11, c_t2) | (~node13(s10, s11)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s10, c_t2)) | m_main_v_state2(s11, c_t2) | (~node13(s10, s11)))),
% 3.92/2.84 inference(rewrite,[status(thm)],[])).
% 3.92/2.84 tff(1328,plain,
% 3.92/2.84 (((~node13(s10, s11)) | (~m_main_v_state2(s10, c_t2)) | m_main_v_state2(s11, c_t2)) <=> ((~m_main_v_state2(s10, c_t2)) | m_main_v_state2(s11, c_t2) | (~node13(s10, s11)))),
% 3.92/2.84 inference(rewrite,[status(thm)],[])).
% 3.92/2.84 tff(1329,plain,
% 3.92/2.84 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s10, s11)) | (~m_main_v_state2(s10, c_t2)) | m_main_v_state2(s11, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s10, c_t2)) | m_main_v_state2(s11, c_t2) | (~node13(s10, s11))))),
% 3.92/2.84 inference(monotonicity,[status(thm)],[1328])).
% 3.92/2.84 tff(1330,plain,
% 3.92/2.84 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s10, s11)) | (~m_main_v_state2(s10, c_t2)) | m_main_v_state2(s11, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s10, c_t2)) | m_main_v_state2(s11, c_t2) | (~node13(s10, s11)))),
% 3.92/2.84 inference(transitivity,[status(thm)],[1329, 1327])).
% 3.92/2.84 tff(1331,plain,
% 3.92/2.84 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s10, s11)) | (~m_main_v_state2(s10, c_t2)) | m_main_v_state2(s11, c_t2))),
% 3.92/2.84 inference(quant_inst,[status(thm)],[])).
% 3.92/2.84 tff(1332,plain,
% 3.92/2.84 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s10, c_t2)) | m_main_v_state2(s11, c_t2) | (~node13(s10, s11))),
% 3.92/2.84 inference(modus_ponens,[status(thm)],[1331, 1330])).
% 3.92/2.84 tff(1333,plain,
% 3.92/2.84 (m_main_v_state2(s11, c_t2)),
% 3.92/2.84 inference(unit_resolution,[status(thm)],[1332, 518, 1232, 1311])).
% 3.92/2.84 tff(1334,plain,
% 3.92/2.84 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s10, c_t1)) | (~m_main_v_state1(s10, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s10, c_t1)) | (~m_main_v_state1(s10, c_c1)))),
% 3.92/2.84 inference(rewrite,[status(thm)],[])).
% 3.92/2.84 tff(1335,plain,
% 3.92/2.84 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s10, c_t1)) | (~m_main_v_state1(s10, c_c1)))),
% 3.92/2.84 inference(quant_inst,[status(thm)],[])).
% 3.92/2.84 tff(1336,plain,
% 3.92/2.84 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s10, c_t1)) | (~m_main_v_state1(s10, c_c1))),
% 3.92/2.84 inference(modus_ponens,[status(thm)],[1335, 1334])).
% 3.92/2.84 tff(1337,plain,
% 3.92/2.84 (~m_main_v_state1(s10, c_t1)),
% 3.92/2.84 inference(unit_resolution,[status(thm)],[1336, 539, 1287])).
% 3.92/2.84 tff(1338,plain,
% 3.92/2.84 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s10, c_t1) | (~node5(s10)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s10, c_t1) | (~node5(s10)))),
% 3.92/2.84 inference(rewrite,[status(thm)],[])).
% 3.92/2.84 tff(1339,plain,
% 3.92/2.84 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s10, c_t1) | (~node5(s10)))),
% 3.92/2.84 inference(quant_inst,[status(thm)],[])).
% 3.92/2.84 tff(1340,plain,
% 3.92/2.84 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s10, c_t1) | (~node5(s10))),
% 3.92/2.84 inference(modus_ponens,[status(thm)],[1339, 1338])).
% 3.92/2.84 tff(1341,plain,
% 3.92/2.84 (~node5(s10)),
% 3.92/2.84 inference(unit_resolution,[status(thm)],[1340, 550, 1337])).
% 3.92/2.84 tff(1342,plain,
% 3.92/2.84 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s10, c_n2) | (~node4(s10)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s10, c_n2) | (~node4(s10)))),
% 3.92/2.84 inference(rewrite,[status(thm)],[])).
% 3.92/2.84 tff(1343,plain,
% 3.92/2.84 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s10, c_n2) | (~node4(s10)))),
% 3.92/2.84 inference(quant_inst,[status(thm)],[])).
% 3.92/2.84 tff(1344,plain,
% 3.92/2.84 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s10, c_n2) | (~node4(s10))),
% 3.92/2.84 inference(modus_ponens,[status(thm)],[1343, 1342])).
% 3.92/2.84 tff(1345,plain,
% 3.92/2.84 (~node4(s10)),
% 3.92/2.84 inference(unit_resolution,[status(thm)],[1344, 388, 1236])).
% 3.92/2.84 tff(1346,plain,
% 3.92/2.84 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s10, c_c2) | (~node3(s10)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s10, c_c2) | (~node3(s10)))),
% 3.92/2.84 inference(rewrite,[status(thm)],[])).
% 3.92/2.84 tff(1347,plain,
% 3.92/2.84 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s10, c_c2) | (~node3(s10)))),
% 3.92/2.84 inference(quant_inst,[status(thm)],[])).
% 3.92/2.84 tff(1348,plain,
% 3.92/2.84 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s10, c_c2) | (~node3(s10))),
% 3.92/2.84 inference(modus_ponens,[status(thm)],[1347, 1346])).
% 3.92/2.84 tff(1349,plain,
% 3.92/2.84 (~node3(s10)),
% 3.92/2.84 inference(unit_resolution,[status(thm)],[1348, 399, 1252])).
% 3.92/2.84 tff(1350,plain,
% 3.92/2.84 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s10, c_n2) | (~node2(s10)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s10, c_n2) | (~node2(s10)))),
% 3.92/2.84 inference(rewrite,[status(thm)],[])).
% 3.92/2.84 tff(1351,plain,
% 3.92/2.84 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s10, c_n2) | (~node2(s10)))),
% 3.92/2.84 inference(quant_inst,[status(thm)],[])).
% 3.92/2.84 tff(1352,plain,
% 3.92/2.84 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s10, c_n2) | (~node2(s10))),
% 3.92/2.84 inference(modus_ponens,[status(thm)],[1351, 1350])).
% 3.92/2.84 tff(1353,plain,
% 3.92/2.84 (~node2(s10)),
% 3.92/2.84 inference(unit_resolution,[status(thm)],[1352, 410, 1236])).
% 3.92/2.84 tff(1354,plain,
% 3.92/2.84 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s10, c_n1) | (~node1(s10)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s10, c_n1) | (~node1(s10)))),
% 3.92/2.84 inference(rewrite,[status(thm)],[])).
% 3.92/2.84 tff(1355,plain,
% 3.92/2.84 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s10, c_n1) | (~node1(s10)))),
% 3.92/2.84 inference(quant_inst,[status(thm)],[])).
% 3.92/2.84 tff(1356,plain,
% 3.92/2.84 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s10, c_n1) | (~node1(s10))),
% 3.92/2.84 inference(modus_ponens,[status(thm)],[1355, 1354])).
% 3.92/2.84 tff(1357,plain,
% 3.92/2.84 (~node1(s10)),
% 3.92/2.84 inference(unit_resolution,[status(thm)],[1356, 421, 1291])).
% 3.92/2.84 tff(1358,plain,
% 3.92/2.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s10, s11)) | node7(s10, s11))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s10, s11)) | node7(s10, s11))),
% 3.92/2.84 inference(rewrite,[status(thm)],[])).
% 3.92/2.84 tff(1359,plain,
% 3.92/2.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s10, s11)) | node7(s10, s11))),
% 3.92/2.84 inference(quant_inst,[status(thm)],[])).
% 3.92/2.84 tff(1360,plain,
% 3.92/2.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s10, s11)) | node7(s10, s11)),
% 3.92/2.84 inference(modus_ponens,[status(thm)],[1359, 1358])).
% 3.92/2.84 tff(1361,plain,
% 3.92/2.84 (node7(s10, s11)),
% 3.92/2.84 inference(unit_resolution,[status(thm)],[1360, 206, 1302])).
% 3.92/2.84 tff(1362,plain,
% 3.92/2.84 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s11, c_n1) | (~m_main_v_state1(s10, c_c1)) | node1(s10) | node2(s10) | node3(s10) | node4(s10) | node5(s10) | (~node7(s10, s11)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s11, c_n1) | (~m_main_v_state1(s10, c_c1)) | node1(s10) | node2(s10) | node3(s10) | node4(s10) | node5(s10) | (~node7(s10, s11)))),
% 3.92/2.84 inference(rewrite,[status(thm)],[])).
% 3.92/2.84 tff(1363,plain,
% 3.92/2.84 (((~m_main_v_state1(s10, c_c1)) | node1(s10) | node2(s10) | node3(s10) | node4(s10) | node5(s10) | (~node7(s10, s11)) | m_main_v_state1(s11, c_n1)) <=> (m_main_v_state1(s11, c_n1) | (~m_main_v_state1(s10, c_c1)) | node1(s10) | node2(s10) | node3(s10) | node4(s10) | node5(s10) | (~node7(s10, s11)))),
% 3.92/2.84 inference(rewrite,[status(thm)],[])).
% 3.92/2.84 tff(1364,plain,
% 3.92/2.84 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s10, c_c1)) | node1(s10) | node2(s10) | node3(s10) | node4(s10) | node5(s10) | (~node7(s10, s11)) | m_main_v_state1(s11, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s11, c_n1) | (~m_main_v_state1(s10, c_c1)) | node1(s10) | node2(s10) | node3(s10) | node4(s10) | node5(s10) | (~node7(s10, s11))))),
% 3.92/2.84 inference(monotonicity,[status(thm)],[1363])).
% 3.92/2.84 tff(1365,plain,
% 3.92/2.84 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s10, c_c1)) | node1(s10) | node2(s10) | node3(s10) | node4(s10) | node5(s10) | (~node7(s10, s11)) | m_main_v_state1(s11, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s11, c_n1) | (~m_main_v_state1(s10, c_c1)) | node1(s10) | node2(s10) | node3(s10) | node4(s10) | node5(s10) | (~node7(s10, s11)))),
% 3.92/2.84 inference(transitivity,[status(thm)],[1364, 1362])).
% 3.92/2.84 tff(1366,plain,
% 3.92/2.84 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s10, c_c1)) | node1(s10) | node2(s10) | node3(s10) | node4(s10) | node5(s10) | (~node7(s10, s11)) | m_main_v_state1(s11, c_n1))),
% 3.92/2.84 inference(quant_inst,[status(thm)],[])).
% 3.92/2.84 tff(1367,plain,
% 3.92/2.84 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s11, c_n1) | (~m_main_v_state1(s10, c_c1)) | node1(s10) | node2(s10) | node3(s10) | node4(s10) | node5(s10) | (~node7(s10, s11))),
% 3.92/2.84 inference(modus_ponens,[status(thm)],[1366, 1365])).
% 3.92/2.84 tff(1368,plain,
% 3.92/2.84 (m_main_v_state1(s11, c_n1) | (~m_main_v_state1(s10, c_c1)) | node1(s10) | node2(s10) | node3(s10) | node4(s10) | node5(s10)),
% 3.92/2.84 inference(unit_resolution,[status(thm)],[1367, 584, 1361])).
% 3.92/2.84 tff(1369,plain,
% 3.92/2.84 (m_main_v_state1(s11, c_n1)),
% 3.92/2.84 inference(unit_resolution,[status(thm)],[1368, 1357, 1287, 1353, 1349, 1345, 1341])).
% 3.92/2.84 tff(1370,plain,
% 3.92/2.84 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s11, c_n2) | (~node8(s11)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s11, c_n2) | (~node8(s11)))),
% 3.92/2.84 inference(rewrite,[status(thm)],[])).
% 3.92/2.84 tff(1371,plain,
% 3.92/2.84 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s11, c_n2) | (~node8(s11)))),
% 3.92/2.84 inference(quant_inst,[status(thm)],[])).
% 3.92/2.84 tff(1372,plain,
% 3.92/2.84 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s11, c_n2) | (~node8(s11))),
% 3.92/2.84 inference(modus_ponens,[status(thm)],[1371, 1370])).
% 3.92/2.84 tff(1373,plain,
% 3.92/2.84 (~node8(s11)),
% 3.92/2.84 inference(unit_resolution,[status(thm)],[1372, 271, 1318])).
% 3.92/2.84 tff(1374,plain,
% 3.92/2.84 (succ(s11, s12) <=> succ(s11, s12)),
% 3.92/2.84 inference(rewrite,[status(thm)],[])).
% 3.92/2.84 tff(1375,axiom,(succ(s11, s12)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound12')).
% 3.92/2.84 tff(1376,plain,
% 3.92/2.84 (succ(s11, s12)),
% 3.92/2.84 inference(modus_ponens,[status(thm)],[1375, 1374])).
% 3.92/2.84 tff(1377,plain,
% 3.92/2.84 (((~![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))),
% 3.92/2.84 inference(rewrite,[status(thm)],[])).
% 3.92/2.84 tff(1378,plain,
% 3.92/2.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s11, s12)) | trans(s11, s12))),
% 3.92/2.84 inference(quant_inst,[status(thm)],[])).
% 3.92/2.84 tff(1379,plain,
% 3.92/2.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s11, s12)) | trans(s11, s12)),
% 3.92/2.84 inference(modus_ponens,[status(thm)],[1378, 1377])).
% 3.92/2.84 tff(1380,plain,
% 3.92/2.84 (trans(s11, s12)),
% 3.92/2.84 inference(unit_resolution,[status(thm)],[1379, 1376, 32])).
% 3.92/2.84 tff(1381,plain,
% 3.92/2.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s11, s12)) | node14(s11, s12))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s11, s12)) | node14(s11, s12))),
% 3.92/2.84 inference(rewrite,[status(thm)],[])).
% 3.92/2.84 tff(1382,plain,
% 3.92/2.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s11, s12)) | node14(s11, s12))),
% 3.92/2.84 inference(quant_inst,[status(thm)],[])).
% 3.92/2.84 tff(1383,plain,
% 3.92/2.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s11, s12)) | node14(s11, s12)),
% 3.92/2.84 inference(modus_ponens,[status(thm)],[1382, 1381])).
% 3.92/2.84 tff(1384,plain,
% 3.92/2.84 (node14(s11, s12)),
% 3.92/2.84 inference(unit_resolution,[status(thm)],[1383, 46, 1380])).
% 3.92/2.84 tff(1385,plain,
% 3.92/2.84 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s11, c_n1)) | (~m_main_v_state2(s11, c_t2)) | node9(s11) | node8(s11) | node10(s11) | (~node14(s11, s12)) | m_main_v_state2(s12, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s11, c_n1)) | (~m_main_v_state2(s11, c_t2)) | node9(s11) | node8(s11) | node10(s11) | (~node14(s11, s12)) | m_main_v_state2(s12, c_c2))),
% 3.92/2.84 inference(rewrite,[status(thm)],[])).
% 3.92/2.84 tff(1386,plain,
% 3.92/2.84 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s11, c_n1)) | (~m_main_v_state2(s11, c_t2)) | node9(s11) | node8(s11) | node10(s11) | (~node14(s11, s12)) | m_main_v_state2(s12, c_c2))),
% 3.92/2.84 inference(quant_inst,[status(thm)],[])).
% 3.92/2.84 tff(1387,plain,
% 3.92/2.84 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s11, c_n1)) | (~m_main_v_state2(s11, c_t2)) | node9(s11) | node8(s11) | node10(s11) | (~node14(s11, s12)) | m_main_v_state2(s12, c_c2)),
% 3.92/2.84 inference(modus_ponens,[status(thm)],[1386, 1385])).
% 3.92/2.84 tff(1388,plain,
% 3.92/2.84 ((~m_main_v_state1(s11, c_n1)) | (~m_main_v_state2(s11, c_t2)) | node9(s11) | node8(s11) | node10(s11) | m_main_v_state2(s12, c_c2)),
% 3.92/2.84 inference(unit_resolution,[status(thm)],[1387, 617, 1384])).
% 3.92/2.84 tff(1389,plain,
% 3.92/2.84 (m_main_v_state2(s12, c_c2)),
% 3.92/2.84 inference(unit_resolution,[status(thm)],[1388, 1373, 1369, 1333, 1326, 1322])).
% 3.92/2.84 tff(1390,plain,
% 3.92/2.84 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s12, c_t2)) | (~m_main_v_state2(s12, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s12, c_t2)) | (~m_main_v_state2(s12, c_c2)))),
% 3.92/2.84 inference(rewrite,[status(thm)],[])).
% 3.92/2.84 tff(1391,plain,
% 3.92/2.84 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s12, c_t2)) | (~m_main_v_state2(s12, c_c2)))),
% 3.92/2.84 inference(quant_inst,[status(thm)],[])).
% 3.92/2.84 tff(1392,plain,
% 3.92/2.84 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s12, c_t2)) | (~m_main_v_state2(s12, c_c2))),
% 3.92/2.85 inference(modus_ponens,[status(thm)],[1391, 1390])).
% 3.92/2.85 tff(1393,plain,
% 3.92/2.85 (~m_main_v_state2(s12, c_t2)),
% 3.92/2.85 inference(unit_resolution,[status(thm)],[1392, 260, 1389])).
% 3.92/2.85 tff(1394,plain,
% 3.92/2.85 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s12, c_t2) | (~node12(s12)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s12, c_t2) | (~node12(s12)))),
% 3.92/2.85 inference(rewrite,[status(thm)],[])).
% 3.92/2.85 tff(1395,plain,
% 3.92/2.85 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s12, c_t2) | (~node12(s12)))),
% 3.92/2.85 inference(quant_inst,[status(thm)],[])).
% 3.92/2.85 tff(1396,plain,
% 3.92/2.85 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s12, c_t2) | (~node12(s12))),
% 3.92/2.85 inference(modus_ponens,[status(thm)],[1395, 1394])).
% 3.92/2.85 tff(1397,plain,
% 3.92/2.85 (~node12(s12)),
% 3.92/2.85 inference(unit_resolution,[status(thm)],[1396, 633, 1393])).
% 3.92/2.85 tff(1398,plain,
% 3.92/2.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s11, s12)) | node7(s11, s12))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s11, s12)) | node7(s11, s12))),
% 3.92/2.85 inference(rewrite,[status(thm)],[])).
% 3.92/2.85 tff(1399,plain,
% 3.92/2.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s11, s12)) | node7(s11, s12))),
% 3.92/2.85 inference(quant_inst,[status(thm)],[])).
% 3.92/2.85 tff(1400,plain,
% 3.92/2.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s11, s12)) | node7(s11, s12)),
% 3.92/2.85 inference(modus_ponens,[status(thm)],[1399, 1398])).
% 3.92/2.85 tff(1401,plain,
% 3.92/2.85 (node7(s11, s12)),
% 3.92/2.85 inference(unit_resolution,[status(thm)],[1400, 206, 1380])).
% 3.92/2.85 tff(1402,plain,
% 3.92/2.85 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s11, c_n1)) | (~m_main_v_state2(s11, c_t2)) | (~node7(s11, s12)) | m_main_v_state1(s12, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s11, c_n1)) | (~m_main_v_state2(s11, c_t2)) | (~node7(s11, s12)) | m_main_v_state1(s12, c_t1))),
% 3.92/2.85 inference(rewrite,[status(thm)],[])).
% 3.92/2.85 tff(1403,plain,
% 3.92/2.85 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s11, c_n1)) | (~m_main_v_state2(s11, c_t2)) | (~node7(s11, s12)) | m_main_v_state1(s12, c_t1))),
% 3.92/2.85 inference(quant_inst,[status(thm)],[])).
% 3.92/2.85 tff(1404,plain,
% 3.92/2.85 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s11, c_n1)) | (~m_main_v_state2(s11, c_t2)) | (~node7(s11, s12)) | m_main_v_state1(s12, c_t1)),
% 3.92/2.85 inference(modus_ponens,[status(thm)],[1403, 1402])).
% 3.92/2.85 tff(1405,plain,
% 3.92/2.85 ((~m_main_v_state1(s11, c_n1)) | (~m_main_v_state2(s11, c_t2)) | m_main_v_state1(s12, c_t1)),
% 3.92/2.85 inference(unit_resolution,[status(thm)],[1404, 651, 1401])).
% 3.92/2.85 tff(1406,plain,
% 3.92/2.85 (m_main_v_state1(s12, c_t1)),
% 3.92/2.85 inference(unit_resolution,[status(thm)],[1405, 1333, 1369])).
% 3.92/2.85 tff(1407,plain,
% 3.92/2.85 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s12, c_n1)) | (~m_main_v_state1(s12, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s12, c_n1)) | (~m_main_v_state1(s12, c_t1)))),
% 3.92/2.85 inference(rewrite,[status(thm)],[])).
% 3.92/2.85 tff(1408,plain,
% 3.92/2.85 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s12, c_n1)) | (~m_main_v_state1(s12, c_t1)))),
% 3.92/2.85 inference(quant_inst,[status(thm)],[])).
% 3.92/2.85 tff(1409,plain,
% 3.92/2.85 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s12, c_n1)) | (~m_main_v_state1(s12, c_t1))),
% 3.92/2.85 inference(modus_ponens,[status(thm)],[1408, 1407])).
% 3.92/2.85 tff(1410,plain,
% 3.92/2.85 (~m_main_v_state1(s12, c_n1)),
% 3.92/2.85 inference(unit_resolution,[status(thm)],[1409, 10, 1406])).
% 3.92/2.85 tff(1411,plain,
% 3.92/2.85 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s12, c_n1) | (~node11(s12)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s12, c_n1) | (~node11(s12)))),
% 3.92/2.85 inference(rewrite,[status(thm)],[])).
% 3.92/2.85 tff(1412,plain,
% 3.92/2.85 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s12, c_n1) | (~node11(s12)))),
% 3.92/2.85 inference(quant_inst,[status(thm)],[])).
% 3.92/2.85 tff(1413,plain,
% 3.92/2.85 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s12, c_n1) | (~node11(s12))),
% 3.92/2.85 inference(modus_ponens,[status(thm)],[1412, 1411])).
% 3.92/2.85 tff(1414,plain,
% 3.92/2.85 (~node11(s12)),
% 3.92/2.85 inference(unit_resolution,[status(thm)],[1413, 238, 1410])).
% 3.92/2.85 tff(1415,plain,
% 3.92/2.85 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s12, c_t1)) | (~m_main_v_state1(s12, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s12, c_t1)) | (~m_main_v_state1(s12, c_c1)))),
% 3.92/2.85 inference(rewrite,[status(thm)],[])).
% 3.92/2.85 tff(1416,plain,
% 3.92/2.85 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s12, c_t1)) | (~m_main_v_state1(s12, c_c1)))),
% 3.92/2.85 inference(quant_inst,[status(thm)],[])).
% 3.92/2.85 tff(1417,plain,
% 3.92/2.85 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s12, c_t1)) | (~m_main_v_state1(s12, c_c1))),
% 3.92/2.85 inference(modus_ponens,[status(thm)],[1416, 1415])).
% 3.92/2.85 tff(1418,plain,
% 3.92/2.85 (~m_main_v_state1(s12, c_c1)),
% 3.92/2.85 inference(unit_resolution,[status(thm)],[1417, 539, 1406])).
% 3.92/2.85 tff(1419,plain,
% 3.92/2.85 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s12, c_c1) | (~node10(s12)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s12, c_c1) | (~node10(s12)))),
% 3.92/2.85 inference(rewrite,[status(thm)],[])).
% 3.92/2.85 tff(1420,plain,
% 3.92/2.85 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s12, c_c1) | (~node10(s12)))),
% 3.92/2.85 inference(quant_inst,[status(thm)],[])).
% 3.92/2.85 tff(1421,plain,
% 3.92/2.85 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s12, c_c1) | (~node10(s12))),
% 3.92/2.85 inference(modus_ponens,[status(thm)],[1420, 1419])).
% 3.92/2.85 tff(1422,plain,
% 3.92/2.85 (~node10(s12)),
% 3.92/2.85 inference(unit_resolution,[status(thm)],[1421, 675, 1418])).
% 3.92/2.85 tff(1423,plain,
% 3.92/2.85 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s12, c_n1) | (~node9(s12)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s12, c_n1) | (~node9(s12)))),
% 3.92/2.85 inference(rewrite,[status(thm)],[])).
% 3.92/2.85 tff(1424,plain,
% 3.92/2.85 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s12, c_n1) | (~node9(s12)))),
% 3.92/2.85 inference(quant_inst,[status(thm)],[])).
% 3.92/2.85 tff(1425,plain,
% 3.92/2.85 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s12, c_n1) | (~node9(s12))),
% 3.92/2.85 inference(modus_ponens,[status(thm)],[1424, 1423])).
% 3.92/2.85 tff(1426,plain,
% 3.92/2.85 (~node9(s12)),
% 3.92/2.85 inference(unit_resolution,[status(thm)],[1425, 686, 1410])).
% 3.92/2.85 tff(1427,plain,
% 3.92/2.85 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s12, c_n2)) | (~m_main_v_state2(s12, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s12, c_n2)) | (~m_main_v_state2(s12, c_c2)))),
% 3.92/2.85 inference(rewrite,[status(thm)],[])).
% 3.92/2.85 tff(1428,plain,
% 3.92/2.85 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s12, c_n2)) | (~m_main_v_state2(s12, c_c2)))),
% 3.92/2.85 inference(quant_inst,[status(thm)],[])).
% 3.92/2.85 tff(1429,plain,
% 3.92/2.85 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s12, c_n2)) | (~m_main_v_state2(s12, c_c2))),
% 3.92/2.85 inference(modus_ponens,[status(thm)],[1428, 1427])).
% 3.92/2.85 tff(1430,plain,
% 3.92/2.85 (~m_main_v_state2(s12, c_n2)),
% 3.92/2.85 inference(unit_resolution,[status(thm)],[1429, 697, 1389])).
% 3.92/2.85 tff(1431,plain,
% 3.92/2.85 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s12, c_n2) | (~node8(s12)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s12, c_n2) | (~node8(s12)))),
% 3.92/2.85 inference(rewrite,[status(thm)],[])).
% 3.92/2.85 tff(1432,plain,
% 3.92/2.85 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s12, c_n2) | (~node8(s12)))),
% 3.92/2.85 inference(quant_inst,[status(thm)],[])).
% 3.92/2.85 tff(1433,plain,
% 3.92/2.85 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s12, c_n2) | (~node8(s12))),
% 3.92/2.85 inference(modus_ponens,[status(thm)],[1432, 1431])).
% 3.92/2.85 tff(1434,plain,
% 3.92/2.85 (~node8(s12)),
% 3.92/2.85 inference(unit_resolution,[status(thm)],[1433, 271, 1430])).
% 3.92/2.85 tff(1435,plain,
% 3.92/2.85 (succ(s12, s13) <=> succ(s12, s13)),
% 3.92/2.85 inference(rewrite,[status(thm)],[])).
% 3.92/2.85 tff(1436,axiom,(succ(s12, s13)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound13')).
% 3.92/2.85 tff(1437,plain,
% 3.92/2.85 (succ(s12, s13)),
% 3.92/2.85 inference(modus_ponens,[status(thm)],[1436, 1435])).
% 3.92/2.85 tff(1438,plain,
% 3.92/2.85 (((~![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))),
% 3.92/2.85 inference(rewrite,[status(thm)],[])).
% 3.92/2.85 tff(1439,plain,
% 3.92/2.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s12, s13)) | trans(s12, s13))),
% 3.92/2.85 inference(quant_inst,[status(thm)],[])).
% 3.92/2.85 tff(1440,plain,
% 3.92/2.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s12, s13)) | trans(s12, s13)),
% 3.92/2.85 inference(modus_ponens,[status(thm)],[1439, 1438])).
% 3.92/2.85 tff(1441,plain,
% 3.92/2.85 (trans(s12, s13)),
% 3.92/2.85 inference(unit_resolution,[status(thm)],[1440, 1437, 32])).
% 3.92/2.85 tff(1442,plain,
% 3.92/2.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s12, s13)) | node14(s12, s13))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s12, s13)) | node14(s12, s13))),
% 3.92/2.85 inference(rewrite,[status(thm)],[])).
% 3.92/2.85 tff(1443,plain,
% 3.92/2.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s12, s13)) | node14(s12, s13))),
% 3.92/2.85 inference(quant_inst,[status(thm)],[])).
% 3.92/2.85 tff(1444,plain,
% 3.92/2.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s12, s13)) | node14(s12, s13)),
% 3.92/2.85 inference(modus_ponens,[status(thm)],[1443, 1442])).
% 3.92/2.85 tff(1445,plain,
% 3.92/2.85 (node14(s12, s13)),
% 3.92/2.85 inference(unit_resolution,[status(thm)],[1444, 46, 1441])).
% 3.92/2.85 tff(1446,plain,
% 3.92/2.85 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s13, c_n2) | node9(s12) | node8(s12) | node10(s12) | node11(s12) | node12(s12) | (~node14(s12, s13)) | (~m_main_v_state2(s12, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s13, c_n2) | node9(s12) | node8(s12) | node10(s12) | node11(s12) | node12(s12) | (~node14(s12, s13)) | (~m_main_v_state2(s12, c_c2)))),
% 3.92/2.85 inference(rewrite,[status(thm)],[])).
% 3.92/2.85 tff(1447,plain,
% 3.92/2.85 (((~m_main_v_state2(s12, c_c2)) | node9(s12) | node8(s12) | node10(s12) | node11(s12) | node12(s12) | (~node14(s12, s13)) | m_main_v_state2(s13, c_n2)) <=> (m_main_v_state2(s13, c_n2) | node9(s12) | node8(s12) | node10(s12) | node11(s12) | node12(s12) | (~node14(s12, s13)) | (~m_main_v_state2(s12, c_c2)))),
% 3.92/2.85 inference(rewrite,[status(thm)],[])).
% 3.92/2.85 tff(1448,plain,
% 3.92/2.85 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s12, c_c2)) | node9(s12) | node8(s12) | node10(s12) | node11(s12) | node12(s12) | (~node14(s12, s13)) | m_main_v_state2(s13, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s13, c_n2) | node9(s12) | node8(s12) | node10(s12) | node11(s12) | node12(s12) | (~node14(s12, s13)) | (~m_main_v_state2(s12, c_c2))))),
% 3.92/2.85 inference(monotonicity,[status(thm)],[1447])).
% 3.92/2.85 tff(1449,plain,
% 3.92/2.85 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s12, c_c2)) | node9(s12) | node8(s12) | node10(s12) | node11(s12) | node12(s12) | (~node14(s12, s13)) | m_main_v_state2(s13, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s13, c_n2) | node9(s12) | node8(s12) | node10(s12) | node11(s12) | node12(s12) | (~node14(s12, s13)) | (~m_main_v_state2(s12, c_c2)))),
% 3.92/2.85 inference(transitivity,[status(thm)],[1448, 1446])).
% 3.92/2.85 tff(1450,plain,
% 3.92/2.85 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s12, c_c2)) | node9(s12) | node8(s12) | node10(s12) | node11(s12) | node12(s12) | (~node14(s12, s13)) | m_main_v_state2(s13, c_n2))),
% 3.92/2.85 inference(quant_inst,[status(thm)],[])).
% 3.92/2.85 tff(1451,plain,
% 3.92/2.85 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s13, c_n2) | node9(s12) | node8(s12) | node10(s12) | node11(s12) | node12(s12) | (~node14(s12, s13)) | (~m_main_v_state2(s12, c_c2))),
% 3.92/2.85 inference(modus_ponens,[status(thm)],[1450, 1449])).
% 3.92/2.85 tff(1452,plain,
% 3.92/2.85 (m_main_v_state2(s13, c_n2) | node9(s12) | node8(s12) | node10(s12) | node11(s12) | node12(s12) | (~m_main_v_state2(s12, c_c2))),
% 3.92/2.85 inference(unit_resolution,[status(thm)],[1451, 726, 1445])).
% 3.92/2.85 tff(1453,plain,
% 3.92/2.85 (m_main_v_state2(s13, c_n2)),
% 3.92/2.85 inference(unit_resolution,[status(thm)],[1452, 1434, 1389, 1426, 1422, 1414, 1397])).
% 3.92/2.85 tff(1454,plain,
% 3.92/2.85 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s13, c_n2)) | (~m_main_v_state2(s13, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s13, c_n2)) | (~m_main_v_state2(s13, c_c2)))),
% 3.92/2.85 inference(rewrite,[status(thm)],[])).
% 3.92/2.85 tff(1455,plain,
% 3.92/2.85 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s13, c_n2)) | (~m_main_v_state2(s13, c_c2)))),
% 3.92/2.85 inference(quant_inst,[status(thm)],[])).
% 3.92/2.85 tff(1456,plain,
% 3.92/2.85 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s13, c_n2)) | (~m_main_v_state2(s13, c_c2))),
% 3.92/2.85 inference(modus_ponens,[status(thm)],[1455, 1454])).
% 3.92/2.85 tff(1457,plain,
% 3.92/2.85 (~m_main_v_state2(s13, c_c2)),
% 3.92/2.85 inference(unit_resolution,[status(thm)],[1456, 697, 1453])).
% 3.92/2.85 tff(1458,plain,
% 3.92/2.85 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s13, c_c2) | (~node3(s13)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s13, c_c2) | (~node3(s13)))),
% 3.92/2.85 inference(rewrite,[status(thm)],[])).
% 3.92/2.85 tff(1459,plain,
% 3.92/2.85 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s13, c_c2) | (~node3(s13)))),
% 3.92/2.85 inference(quant_inst,[status(thm)],[])).
% 3.92/2.85 tff(1460,plain,
% 3.92/2.85 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s13, c_c2) | (~node3(s13))),
% 3.92/2.85 inference(modus_ponens,[status(thm)],[1459, 1458])).
% 3.92/2.85 tff(1461,plain,
% 3.92/2.85 (~node3(s13)),
% 3.92/2.85 inference(unit_resolution,[status(thm)],[1460, 399, 1457])).
% 3.92/2.85 tff(1462,plain,
% 3.92/2.85 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s12, c_n1) | (~node1(s12)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s12, c_n1) | (~node1(s12)))),
% 3.92/2.85 inference(rewrite,[status(thm)],[])).
% 3.92/2.85 tff(1463,plain,
% 3.92/2.85 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s12, c_n1) | (~node1(s12)))),
% 3.92/2.85 inference(quant_inst,[status(thm)],[])).
% 3.92/2.85 tff(1464,plain,
% 3.92/2.85 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s12, c_n1) | (~node1(s12))),
% 3.92/2.85 inference(modus_ponens,[status(thm)],[1463, 1462])).
% 3.92/2.85 tff(1465,plain,
% 3.92/2.85 (~node1(s12)),
% 3.92/2.85 inference(unit_resolution,[status(thm)],[1464, 421, 1410])).
% 3.92/2.85 tff(1466,plain,
% 3.92/2.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s11, s12)) | node18(s11, s12))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s11, s12)) | node18(s11, s12))),
% 3.92/2.85 inference(rewrite,[status(thm)],[])).
% 3.92/2.85 tff(1467,plain,
% 3.92/2.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s11, s12)) | node18(s11, s12))),
% 3.92/2.85 inference(quant_inst,[status(thm)],[])).
% 3.92/2.85 tff(1468,plain,
% 3.92/2.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s11, s12)) | node18(s11, s12)),
% 3.92/2.85 inference(modus_ponens,[status(thm)],[1467, 1466])).
% 3.92/2.85 tff(1469,plain,
% 3.92/2.85 (node18(s11, s12)),
% 3.92/2.85 inference(unit_resolution,[status(thm)],[1468, 125, 1380])).
% 3.92/2.85 tff(1470,plain,
% 3.92/2.85 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s11, c_n1)) | (~m_main_v_state2(s11, c_t2)) | (~node18(s11, s12)) | m_main_v_turn(s12, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s11, c_n1)) | (~m_main_v_state2(s11, c_t2)) | (~node18(s11, s12)) | m_main_v_turn(s12, c_2))),
% 3.92/2.85 inference(rewrite,[status(thm)],[])).
% 3.92/2.85 tff(1471,plain,
% 3.92/2.85 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s11, c_n1)) | (~m_main_v_state2(s11, c_t2)) | (~node18(s11, s12)) | m_main_v_turn(s12, c_2))),
% 3.92/2.85 inference(quant_inst,[status(thm)],[])).
% 3.92/2.85 tff(1472,plain,
% 3.92/2.85 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s11, c_n1)) | (~m_main_v_state2(s11, c_t2)) | (~node18(s11, s12)) | m_main_v_turn(s12, c_2)),
% 3.92/2.85 inference(modus_ponens,[status(thm)],[1471, 1470])).
% 3.92/2.85 tff(1473,plain,
% 3.92/2.85 ((~m_main_v_state1(s11, c_n1)) | (~m_main_v_state2(s11, c_t2)) | m_main_v_turn(s12, c_2)),
% 3.92/2.85 inference(unit_resolution,[status(thm)],[1472, 760, 1469])).
% 3.92/2.85 tff(1474,plain,
% 3.92/2.85 (m_main_v_turn(s12, c_2)),
% 3.92/2.85 inference(unit_resolution,[status(thm)],[1473, 1333, 1369])).
% 3.92/2.85 tff(1475,plain,
% 3.92/2.85 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s12, c_1)) | (~m_main_v_turn(s12, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s12, c_1)) | (~m_main_v_turn(s12, c_2)))),
% 3.92/2.85 inference(rewrite,[status(thm)],[])).
% 3.92/2.85 tff(1476,plain,
% 3.92/2.85 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s12, c_1)) | (~m_main_v_turn(s12, c_2)))),
% 3.92/2.85 inference(quant_inst,[status(thm)],[])).
% 3.92/2.85 tff(1477,plain,
% 3.92/2.85 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s12, c_1)) | (~m_main_v_turn(s12, c_2))),
% 3.92/2.85 inference(modus_ponens,[status(thm)],[1476, 1475])).
% 3.92/2.85 tff(1478,plain,
% 3.92/2.85 (~m_main_v_turn(s12, c_1)),
% 3.92/2.85 inference(unit_resolution,[status(thm)],[1477, 156, 1474])).
% 3.92/2.85 tff(1479,plain,
% 3.92/2.85 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s12, c_1) | (~node5(s12)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s12, c_1) | (~node5(s12)))),
% 3.92/2.85 inference(rewrite,[status(thm)],[])).
% 3.92/2.85 tff(1480,plain,
% 3.92/2.85 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s12, c_1) | (~node5(s12)))),
% 3.92/2.85 inference(quant_inst,[status(thm)],[])).
% 3.92/2.85 tff(1481,plain,
% 3.92/2.85 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s12, c_1) | (~node5(s12))),
% 3.92/2.85 inference(modus_ponens,[status(thm)],[1480, 1479])).
% 3.92/2.85 tff(1482,plain,
% 3.92/2.85 (~node5(s12)),
% 3.92/2.85 inference(unit_resolution,[status(thm)],[1481, 776, 1478])).
% 3.92/2.85 tff(1483,plain,
% 3.92/2.85 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s12, c_n1) | (~node2(s12)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s12, c_n1) | (~node2(s12)))),
% 3.92/2.85 inference(rewrite,[status(thm)],[])).
% 3.92/2.85 tff(1484,plain,
% 3.92/2.85 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s12, c_n1) | (~node2(s12)))),
% 3.92/2.85 inference(quant_inst,[status(thm)],[])).
% 3.92/2.85 tff(1485,plain,
% 3.92/2.85 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s12, c_n1) | (~node2(s12))),
% 3.92/2.85 inference(modus_ponens,[status(thm)],[1484, 1483])).
% 3.92/2.85 tff(1486,plain,
% 3.92/2.85 (~node2(s12)),
% 3.92/2.85 inference(unit_resolution,[status(thm)],[1485, 787, 1410])).
% 3.92/2.85 tff(1487,plain,
% 3.92/2.85 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s12, c_n1) | (~node3(s12)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s12, c_n1) | (~node3(s12)))),
% 3.92/2.85 inference(rewrite,[status(thm)],[])).
% 3.92/2.85 tff(1488,plain,
% 3.92/2.85 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s12, c_n1) | (~node3(s12)))),
% 3.92/2.85 inference(quant_inst,[status(thm)],[])).
% 3.92/2.85 tff(1489,plain,
% 3.92/2.85 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s12, c_n1) | (~node3(s12))),
% 3.92/2.85 inference(modus_ponens,[status(thm)],[1488, 1487])).
% 3.92/2.85 tff(1490,plain,
% 3.92/2.85 (~node3(s12)),
% 3.92/2.85 inference(unit_resolution,[status(thm)],[1489, 798, 1410])).
% 3.92/2.85 tff(1491,plain,
% 3.92/2.85 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s12, c_n2) | (~node4(s12)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s12, c_n2) | (~node4(s12)))),
% 3.92/2.85 inference(rewrite,[status(thm)],[])).
% 3.92/2.85 tff(1492,plain,
% 3.92/2.85 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s12, c_n2) | (~node4(s12)))),
% 3.92/2.85 inference(quant_inst,[status(thm)],[])).
% 3.92/2.85 tff(1493,plain,
% 3.92/2.85 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s12, c_n2) | (~node4(s12))),
% 3.92/2.85 inference(modus_ponens,[status(thm)],[1492, 1491])).
% 3.92/2.85 tff(1494,plain,
% 3.92/2.85 (~node4(s12)),
% 3.92/2.85 inference(unit_resolution,[status(thm)],[1493, 388, 1430])).
% 3.92/2.85 tff(1495,plain,
% 3.92/2.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s12, s13)) | node7(s12, s13))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s12, s13)) | node7(s12, s13))),
% 3.92/2.85 inference(rewrite,[status(thm)],[])).
% 3.92/2.85 tff(1496,plain,
% 3.92/2.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s12, s13)) | node7(s12, s13))),
% 3.92/2.85 inference(quant_inst,[status(thm)],[])).
% 3.92/2.85 tff(1497,plain,
% 3.92/2.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s12, s13)) | node7(s12, s13)),
% 3.92/2.85 inference(modus_ponens,[status(thm)],[1496, 1495])).
% 3.92/2.85 tff(1498,plain,
% 3.92/2.85 (node7(s12, s13)),
% 3.92/2.85 inference(unit_resolution,[status(thm)],[1497, 206, 1441])).
% 3.92/2.85 tff(1499,plain,
% 3.92/2.85 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s12, c_c1) | node1(s12) | node2(s12) | node3(s12) | node4(s12) | node5(s12) | node6(s12, s13) | (~node7(s12, s13)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s12, c_c1) | node1(s12) | node2(s12) | node3(s12) | node4(s12) | node5(s12) | node6(s12, s13) | (~node7(s12, s13)))),
% 3.92/2.85 inference(rewrite,[status(thm)],[])).
% 3.92/2.85 tff(1500,plain,
% 3.92/2.85 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s12, c_c1) | node1(s12) | node2(s12) | node3(s12) | node4(s12) | node5(s12) | node6(s12, s13) | (~node7(s12, s13)))),
% 3.92/2.85 inference(quant_inst,[status(thm)],[])).
% 3.92/2.85 tff(1501,plain,
% 3.92/2.85 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s12, c_c1) | node1(s12) | node2(s12) | node3(s12) | node4(s12) | node5(s12) | node6(s12, s13) | (~node7(s12, s13))),
% 3.92/2.85 inference(modus_ponens,[status(thm)],[1500, 1499])).
% 3.92/2.85 tff(1502,plain,
% 3.92/2.85 (m_main_v_state1(s12, c_c1) | node1(s12) | node2(s12) | node3(s12) | node4(s12) | node5(s12) | node6(s12, s13)),
% 3.92/2.85 inference(unit_resolution,[status(thm)],[1501, 820, 1498])).
% 3.92/2.85 tff(1503,plain,
% 3.92/2.85 (node6(s12, s13)),
% 3.92/2.85 inference(unit_resolution,[status(thm)],[1502, 1494, 1418, 1490, 1486, 1482, 1465])).
% 3.92/2.86 tff(1504,plain,
% 3.92/2.86 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s12, c_n1) | (~m_main_v_state1(s13, c_n1)) | (~node6(s12, s13)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s12, c_n1) | (~m_main_v_state1(s13, c_n1)) | (~node6(s12, s13)))),
% 3.92/2.86 inference(rewrite,[status(thm)],[])).
% 3.92/2.86 tff(1505,plain,
% 3.92/2.86 (((~node6(s12, s13)) | m_main_v_state1(s12, c_n1) | (~m_main_v_state1(s13, c_n1))) <=> (m_main_v_state1(s12, c_n1) | (~m_main_v_state1(s13, c_n1)) | (~node6(s12, s13)))),
% 3.92/2.86 inference(rewrite,[status(thm)],[])).
% 3.92/2.86 tff(1506,plain,
% 3.92/2.86 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s12, s13)) | m_main_v_state1(s12, c_n1) | (~m_main_v_state1(s13, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s12, c_n1) | (~m_main_v_state1(s13, c_n1)) | (~node6(s12, s13))))),
% 3.92/2.86 inference(monotonicity,[status(thm)],[1505])).
% 3.92/2.86 tff(1507,plain,
% 3.92/2.86 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s12, s13)) | m_main_v_state1(s12, c_n1) | (~m_main_v_state1(s13, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s12, c_n1) | (~m_main_v_state1(s13, c_n1)) | (~node6(s12, s13)))),
% 3.92/2.86 inference(transitivity,[status(thm)],[1506, 1504])).
% 3.92/2.86 tff(1508,plain,
% 3.92/2.86 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s12, s13)) | m_main_v_state1(s12, c_n1) | (~m_main_v_state1(s13, c_n1)))),
% 3.92/2.86 inference(quant_inst,[status(thm)],[])).
% 3.92/2.86 tff(1509,plain,
% 3.92/2.86 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s12, c_n1) | (~m_main_v_state1(s13, c_n1)) | (~node6(s12, s13))),
% 3.92/2.86 inference(modus_ponens,[status(thm)],[1508, 1507])).
% 3.92/2.86 tff(1510,plain,
% 3.92/2.86 (~m_main_v_state1(s13, c_n1)),
% 3.92/2.86 inference(unit_resolution,[status(thm)],[1509, 835, 1410, 1503])).
% 3.92/2.86 tff(1511,plain,
% 3.92/2.86 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s13, c_n1) | (~node2(s13)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s13, c_n1) | (~node2(s13)))),
% 3.92/2.86 inference(rewrite,[status(thm)],[])).
% 3.92/2.86 tff(1512,plain,
% 3.92/2.86 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s13, c_n1) | (~node2(s13)))),
% 3.92/2.86 inference(quant_inst,[status(thm)],[])).
% 3.92/2.86 tff(1513,plain,
% 3.92/2.86 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s13, c_n1) | (~node2(s13))),
% 3.92/2.86 inference(modus_ponens,[status(thm)],[1512, 1511])).
% 3.92/2.86 tff(1514,plain,
% 3.92/2.86 (~node2(s13)),
% 3.92/2.86 inference(unit_resolution,[status(thm)],[1513, 787, 1510])).
% 3.92/2.86 tff(1515,plain,
% 3.92/2.86 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s12, c_t1)) | m_main_v_state1(s13, c_t1) | (~node6(s12, s13)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s12, c_t1)) | m_main_v_state1(s13, c_t1) | (~node6(s12, s13)))),
% 3.92/2.86 inference(rewrite,[status(thm)],[])).
% 3.92/2.86 tff(1516,plain,
% 3.92/2.86 (((~node6(s12, s13)) | (~m_main_v_state1(s12, c_t1)) | m_main_v_state1(s13, c_t1)) <=> ((~m_main_v_state1(s12, c_t1)) | m_main_v_state1(s13, c_t1) | (~node6(s12, s13)))),
% 3.92/2.86 inference(rewrite,[status(thm)],[])).
% 3.92/2.86 tff(1517,plain,
% 3.92/2.86 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s12, s13)) | (~m_main_v_state1(s12, c_t1)) | m_main_v_state1(s13, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s12, c_t1)) | m_main_v_state1(s13, c_t1) | (~node6(s12, s13))))),
% 3.92/2.86 inference(monotonicity,[status(thm)],[1516])).
% 3.92/2.86 tff(1518,plain,
% 3.92/2.86 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s12, s13)) | (~m_main_v_state1(s12, c_t1)) | m_main_v_state1(s13, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s12, c_t1)) | m_main_v_state1(s13, c_t1) | (~node6(s12, s13)))),
% 3.92/2.86 inference(transitivity,[status(thm)],[1517, 1515])).
% 3.92/2.86 tff(1519,plain,
% 3.92/2.86 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s12, s13)) | (~m_main_v_state1(s12, c_t1)) | m_main_v_state1(s13, c_t1))),
% 3.92/2.86 inference(quant_inst,[status(thm)],[])).
% 3.92/2.86 tff(1520,plain,
% 3.92/2.86 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s12, c_t1)) | m_main_v_state1(s13, c_t1) | (~node6(s12, s13))),
% 3.92/2.86 inference(modus_ponens,[status(thm)],[1519, 1518])).
% 3.92/2.86 tff(1521,plain,
% 3.92/2.86 (m_main_v_state1(s13, c_t1)),
% 3.92/2.86 inference(unit_resolution,[status(thm)],[1520, 856, 1406, 1503])).
% 3.92/2.86 tff(1522,plain,
% 3.92/2.86 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s13, c_n2)) | (~m_main_v_state2(s13, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s13, c_n2)) | (~m_main_v_state2(s13, c_t2)))),
% 3.92/2.86 inference(rewrite,[status(thm)],[])).
% 3.92/2.86 tff(1523,plain,
% 3.92/2.86 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s13, c_n2)) | (~m_main_v_state2(s13, c_t2)))),
% 3.92/2.86 inference(quant_inst,[status(thm)],[])).
% 3.92/2.86 tff(1524,plain,
% 3.92/2.86 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s13, c_n2)) | (~m_main_v_state2(s13, c_t2))),
% 3.92/2.86 inference(modus_ponens,[status(thm)],[1523, 1522])).
% 3.92/2.86 tff(1525,plain,
% 3.92/2.86 (~m_main_v_state2(s13, c_t2)),
% 3.92/2.86 inference(unit_resolution,[status(thm)],[1524, 77, 1453])).
% 3.92/2.86 tff(1526,plain,
% 3.92/2.86 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s13, c_t2) | (~node1(s13)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s13, c_t2) | (~node1(s13)))),
% 3.92/2.86 inference(rewrite,[status(thm)],[])).
% 3.92/2.86 tff(1527,plain,
% 3.92/2.86 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s13, c_t2) | (~node1(s13)))),
% 3.92/2.86 inference(quant_inst,[status(thm)],[])).
% 3.92/2.86 tff(1528,plain,
% 3.92/2.86 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s13, c_t2) | (~node1(s13))),
% 3.92/2.86 inference(modus_ponens,[status(thm)],[1527, 1526])).
% 3.92/2.86 tff(1529,plain,
% 3.92/2.86 (~node1(s13)),
% 3.92/2.86 inference(unit_resolution,[status(thm)],[1528, 195, 1525])).
% 3.92/2.86 tff(1530,plain,
% 3.92/2.86 (succ(s13, s14) <=> succ(s13, s14)),
% 3.92/2.86 inference(rewrite,[status(thm)],[])).
% 3.92/2.86 tff(1531,axiom,(succ(s13, s14)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound14')).
% 3.92/2.86 tff(1532,plain,
% 3.92/2.86 (succ(s13, s14)),
% 3.92/2.86 inference(modus_ponens,[status(thm)],[1531, 1530])).
% 3.92/2.86 tff(1533,plain,
% 3.92/2.86 (((~![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))),
% 3.92/2.86 inference(rewrite,[status(thm)],[])).
% 3.92/2.86 tff(1534,plain,
% 3.92/2.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s13, s14)) | trans(s13, s14))),
% 3.92/2.86 inference(quant_inst,[status(thm)],[])).
% 3.92/2.86 tff(1535,plain,
% 3.92/2.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s13, s14)) | trans(s13, s14)),
% 3.92/2.86 inference(modus_ponens,[status(thm)],[1534, 1533])).
% 3.92/2.86 tff(1536,plain,
% 3.92/2.86 (trans(s13, s14)),
% 3.92/2.86 inference(unit_resolution,[status(thm)],[1535, 1532, 32])).
% 3.92/2.86 tff(1537,plain,
% 3.92/2.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s13, s14)) | node7(s13, s14))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s13, s14)) | node7(s13, s14))),
% 3.92/2.86 inference(rewrite,[status(thm)],[])).
% 3.92/2.86 tff(1538,plain,
% 3.92/2.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s13, s14)) | node7(s13, s14))),
% 3.92/2.86 inference(quant_inst,[status(thm)],[])).
% 3.92/2.86 tff(1539,plain,
% 3.92/2.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s13, s14)) | node7(s13, s14)),
% 4.02/2.86 inference(modus_ponens,[status(thm)],[1538, 1537])).
% 4.02/2.86 tff(1540,plain,
% 4.02/2.86 (node7(s13, s14)),
% 4.02/2.86 inference(unit_resolution,[status(thm)],[1539, 206, 1536])).
% 4.02/2.86 tff(1541,plain,
% 4.02/2.86 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | m_main_v_state1(s14, c_c1) | node1(s13) | node2(s13) | node3(s13) | (~node7(s13, s14)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | m_main_v_state1(s14, c_c1) | node1(s13) | node2(s13) | node3(s13) | (~node7(s13, s14)))),
% 4.02/2.86 inference(rewrite,[status(thm)],[])).
% 4.02/2.86 tff(1542,plain,
% 4.02/2.86 (((~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | node1(s13) | node2(s13) | node3(s13) | (~node7(s13, s14)) | m_main_v_state1(s14, c_c1)) <=> ((~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | m_main_v_state1(s14, c_c1) | node1(s13) | node2(s13) | node3(s13) | (~node7(s13, s14)))),
% 4.02/2.86 inference(rewrite,[status(thm)],[])).
% 4.02/2.86 tff(1543,plain,
% 4.02/2.86 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | node1(s13) | node2(s13) | node3(s13) | (~node7(s13, s14)) | m_main_v_state1(s14, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | m_main_v_state1(s14, c_c1) | node1(s13) | node2(s13) | node3(s13) | (~node7(s13, s14))))),
% 4.02/2.86 inference(monotonicity,[status(thm)],[1542])).
% 4.02/2.86 tff(1544,plain,
% 4.02/2.86 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | node1(s13) | node2(s13) | node3(s13) | (~node7(s13, s14)) | m_main_v_state1(s14, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | m_main_v_state1(s14, c_c1) | node1(s13) | node2(s13) | node3(s13) | (~node7(s13, s14)))),
% 4.02/2.86 inference(transitivity,[status(thm)],[1543, 1541])).
% 4.02/2.86 tff(1545,plain,
% 4.02/2.86 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | node1(s13) | node2(s13) | node3(s13) | (~node7(s13, s14)) | m_main_v_state1(s14, c_c1))),
% 4.02/2.86 inference(quant_inst,[status(thm)],[])).
% 4.02/2.86 tff(1546,plain,
% 4.02/2.86 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | m_main_v_state1(s14, c_c1) | node1(s13) | node2(s13) | node3(s13) | (~node7(s13, s14))),
% 4.02/2.86 inference(modus_ponens,[status(thm)],[1545, 1544])).
% 4.02/2.86 tff(1547,plain,
% 4.02/2.86 ((~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | m_main_v_state1(s14, c_c1) | node1(s13) | node2(s13) | node3(s13)),
% 4.02/2.86 inference(unit_resolution,[status(thm)],[1546, 892, 1540])).
% 4.02/2.86 tff(1548,plain,
% 4.02/2.86 (m_main_v_state1(s14, c_c1)),
% 4.02/2.86 inference(unit_resolution,[status(thm)],[1547, 1529, 1453, 1521, 1514, 1461])).
% 4.02/2.86 tff(1549,plain,
% 4.02/2.86 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s14, c_t1)) | (~m_main_v_state1(s14, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s14, c_t1)) | (~m_main_v_state1(s14, c_c1)))),
% 4.02/2.86 inference(rewrite,[status(thm)],[])).
% 4.02/2.86 tff(1550,plain,
% 4.02/2.86 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s14, c_t1)) | (~m_main_v_state1(s14, c_c1)))),
% 4.02/2.86 inference(quant_inst,[status(thm)],[])).
% 4.02/2.86 tff(1551,plain,
% 4.02/2.86 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s14, c_t1)) | (~m_main_v_state1(s14, c_c1))),
% 4.02/2.86 inference(modus_ponens,[status(thm)],[1550, 1549])).
% 4.02/2.86 tff(1552,plain,
% 4.02/2.86 (~m_main_v_state1(s14, c_t1)),
% 4.02/2.86 inference(unit_resolution,[status(thm)],[1551, 539, 1548])).
% 4.02/2.86 tff(1553,plain,
% 4.02/2.86 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s14, c_t1) | (~node5(s14)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s14, c_t1) | (~node5(s14)))),
% 4.02/2.86 inference(rewrite,[status(thm)],[])).
% 4.02/2.86 tff(1554,plain,
% 4.02/2.86 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s14, c_t1) | (~node5(s14)))),
% 4.02/2.86 inference(quant_inst,[status(thm)],[])).
% 4.02/2.86 tff(1555,plain,
% 4.02/2.86 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s14, c_t1) | (~node5(s14))),
% 4.02/2.86 inference(modus_ponens,[status(thm)],[1554, 1553])).
% 4.02/2.86 tff(1556,plain,
% 4.02/2.86 (~node5(s14)),
% 4.02/2.86 inference(unit_resolution,[status(thm)],[1555, 550, 1552])).
% 4.02/2.86 tff(1557,plain,
% 4.02/2.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s13, s14)) | node14(s13, s14))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s13, s14)) | node14(s13, s14))),
% 4.02/2.86 inference(rewrite,[status(thm)],[])).
% 4.02/2.86 tff(1558,plain,
% 4.02/2.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s13, s14)) | node14(s13, s14))),
% 4.02/2.86 inference(quant_inst,[status(thm)],[])).
% 4.02/2.86 tff(1559,plain,
% 4.02/2.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s13, s14)) | node14(s13, s14)),
% 4.02/2.86 inference(modus_ponens,[status(thm)],[1558, 1557])).
% 4.02/2.86 tff(1560,plain,
% 4.02/2.86 (node14(s13, s14)),
% 4.02/2.86 inference(unit_resolution,[status(thm)],[1559, 46, 1536])).
% 4.02/2.86 tff(1561,plain,
% 4.02/2.86 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | (~node14(s13, s14)) | m_main_v_state2(s14, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | (~node14(s13, s14)) | m_main_v_state2(s14, c_t2))),
% 4.02/2.86 inference(rewrite,[status(thm)],[])).
% 4.02/2.86 tff(1562,plain,
% 4.02/2.86 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | (~node14(s13, s14)) | m_main_v_state2(s14, c_t2))),
% 4.02/2.86 inference(quant_inst,[status(thm)],[])).
% 4.02/2.86 tff(1563,plain,
% 4.02/2.86 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | (~node14(s13, s14)) | m_main_v_state2(s14, c_t2)),
% 4.02/2.86 inference(modus_ponens,[status(thm)],[1562, 1561])).
% 4.02/2.86 tff(1564,plain,
% 4.02/2.86 ((~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | m_main_v_state2(s14, c_t2)),
% 4.02/2.86 inference(unit_resolution,[status(thm)],[1563, 922, 1560])).
% 4.02/2.86 tff(1565,plain,
% 4.02/2.86 (m_main_v_state2(s14, c_t2)),
% 4.02/2.86 inference(unit_resolution,[status(thm)],[1564, 1521, 1453])).
% 4.02/2.86 tff(1566,plain,
% 4.02/2.86 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s14, c_n2)) | (~m_main_v_state2(s14, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s14, c_n2)) | (~m_main_v_state2(s14, c_t2)))),
% 4.02/2.86 inference(rewrite,[status(thm)],[])).
% 4.02/2.86 tff(1567,plain,
% 4.02/2.86 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s14, c_n2)) | (~m_main_v_state2(s14, c_t2)))),
% 4.02/2.86 inference(quant_inst,[status(thm)],[])).
% 4.02/2.86 tff(1568,plain,
% 4.02/2.86 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s14, c_n2)) | (~m_main_v_state2(s14, c_t2))),
% 4.02/2.86 inference(modus_ponens,[status(thm)],[1567, 1566])).
% 4.02/2.86 tff(1569,plain,
% 4.02/2.86 (~m_main_v_state2(s14, c_n2)),
% 4.02/2.86 inference(unit_resolution,[status(thm)],[1568, 77, 1565])).
% 4.02/2.86 tff(1570,plain,
% 4.02/2.86 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s14, c_n2) | (~node4(s14)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s14, c_n2) | (~node4(s14)))),
% 4.02/2.86 inference(rewrite,[status(thm)],[])).
% 4.02/2.86 tff(1571,plain,
% 4.02/2.86 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s14, c_n2) | (~node4(s14)))),
% 4.02/2.86 inference(quant_inst,[status(thm)],[])).
% 4.02/2.86 tff(1572,plain,
% 4.02/2.86 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s14, c_n2) | (~node4(s14))),
% 4.02/2.86 inference(modus_ponens,[status(thm)],[1571, 1570])).
% 4.02/2.86 tff(1573,plain,
% 4.02/2.86 (~node4(s14)),
% 4.02/2.86 inference(unit_resolution,[status(thm)],[1572, 388, 1569])).
% 4.02/2.86 tff(1574,plain,
% 4.02/2.86 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s14, c_t2)) | (~m_main_v_state2(s14, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s14, c_t2)) | (~m_main_v_state2(s14, c_c2)))),
% 4.02/2.86 inference(rewrite,[status(thm)],[])).
% 4.02/2.86 tff(1575,plain,
% 4.02/2.86 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s14, c_t2)) | (~m_main_v_state2(s14, c_c2)))),
% 4.02/2.86 inference(quant_inst,[status(thm)],[])).
% 4.02/2.86 tff(1576,plain,
% 4.02/2.86 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s14, c_t2)) | (~m_main_v_state2(s14, c_c2))),
% 4.02/2.86 inference(modus_ponens,[status(thm)],[1575, 1574])).
% 4.02/2.86 tff(1577,plain,
% 4.02/2.86 (~m_main_v_state2(s14, c_c2)),
% 4.02/2.86 inference(unit_resolution,[status(thm)],[1576, 260, 1565])).
% 4.02/2.86 tff(1578,plain,
% 4.02/2.86 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s14, c_c2) | (~node3(s14)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s14, c_c2) | (~node3(s14)))),
% 4.02/2.86 inference(rewrite,[status(thm)],[])).
% 4.02/2.86 tff(1579,plain,
% 4.02/2.86 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s14, c_c2) | (~node3(s14)))),
% 4.02/2.86 inference(quant_inst,[status(thm)],[])).
% 4.02/2.86 tff(1580,plain,
% 4.02/2.86 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s14, c_c2) | (~node3(s14))),
% 4.02/2.86 inference(modus_ponens,[status(thm)],[1579, 1578])).
% 4.02/2.86 tff(1581,plain,
% 4.02/2.86 (~node3(s14)),
% 4.02/2.86 inference(unit_resolution,[status(thm)],[1580, 399, 1577])).
% 4.02/2.86 tff(1582,plain,
% 4.02/2.86 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s14, c_n2) | (~node2(s14)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s14, c_n2) | (~node2(s14)))),
% 4.02/2.86 inference(rewrite,[status(thm)],[])).
% 4.02/2.86 tff(1583,plain,
% 4.02/2.86 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s14, c_n2) | (~node2(s14)))),
% 4.02/2.86 inference(quant_inst,[status(thm)],[])).
% 4.02/2.86 tff(1584,plain,
% 4.02/2.86 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s14, c_n2) | (~node2(s14))),
% 4.02/2.86 inference(modus_ponens,[status(thm)],[1583, 1582])).
% 4.02/2.86 tff(1585,plain,
% 4.02/2.86 (~node2(s14)),
% 4.02/2.86 inference(unit_resolution,[status(thm)],[1584, 410, 1569])).
% 4.02/2.86 tff(1586,plain,
% 4.02/2.86 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s14, c_n1)) | (~m_main_v_state1(s14, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s14, c_n1)) | (~m_main_v_state1(s14, c_c1)))),
% 4.02/2.86 inference(rewrite,[status(thm)],[])).
% 4.02/2.86 tff(1587,plain,
% 4.02/2.86 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s14, c_n1)) | (~m_main_v_state1(s14, c_c1)))),
% 4.02/2.86 inference(quant_inst,[status(thm)],[])).
% 4.02/2.86 tff(1588,plain,
% 4.02/2.86 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s14, c_n1)) | (~m_main_v_state1(s14, c_c1))),
% 4.02/2.86 inference(modus_ponens,[status(thm)],[1587, 1586])).
% 4.02/2.86 tff(1589,plain,
% 4.02/2.86 (~m_main_v_state1(s14, c_n1)),
% 4.02/2.86 inference(unit_resolution,[status(thm)],[1588, 454, 1548])).
% 4.02/2.86 tff(1590,plain,
% 4.02/2.86 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s14, c_n1) | (~node1(s14)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s14, c_n1) | (~node1(s14)))),
% 4.02/2.86 inference(rewrite,[status(thm)],[])).
% 4.02/2.86 tff(1591,plain,
% 4.02/2.86 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s14, c_n1) | (~node1(s14)))),
% 4.02/2.86 inference(quant_inst,[status(thm)],[])).
% 4.02/2.86 tff(1592,plain,
% 4.02/2.86 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s14, c_n1) | (~node1(s14))),
% 4.02/2.86 inference(modus_ponens,[status(thm)],[1591, 1590])).
% 4.02/2.86 tff(1593,plain,
% 4.02/2.86 (~node1(s14)),
% 4.02/2.86 inference(unit_resolution,[status(thm)],[1592, 421, 1589])).
% 4.02/2.86 tff(1594,plain,
% 4.02/2.86 (succ(s14, s15) <=> succ(s14, s15)),
% 4.02/2.86 inference(rewrite,[status(thm)],[])).
% 4.02/2.86 tff(1595,axiom,(succ(s14, s15)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound15')).
% 4.02/2.86 tff(1596,plain,
% 4.02/2.86 (succ(s14, s15)),
% 4.02/2.86 inference(modus_ponens,[status(thm)],[1595, 1594])).
% 4.02/2.86 tff(1597,plain,
% 4.02/2.86 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s14, s15)) | trans(s14, s15))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s14, s15)) | trans(s14, s15))),
% 4.02/2.86 inference(rewrite,[status(thm)],[])).
% 4.02/2.86 tff(1598,plain,
% 4.02/2.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s14, s15)) | trans(s14, s15))),
% 4.02/2.86 inference(quant_inst,[status(thm)],[])).
% 4.02/2.86 tff(1599,plain,
% 4.02/2.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s14, s15)) | trans(s14, s15)),
% 4.02/2.86 inference(modus_ponens,[status(thm)],[1598, 1597])).
% 4.02/2.86 tff(1600,plain,
% 4.02/2.86 (trans(s14, s15)),
% 4.02/2.86 inference(unit_resolution,[status(thm)],[1599, 1596, 32])).
% 4.02/2.86 tff(1601,plain,
% 4.02/2.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s14, s15)) | node7(s14, s15))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s14, s15)) | node7(s14, s15))),
% 4.02/2.86 inference(rewrite,[status(thm)],[])).
% 4.02/2.86 tff(1602,plain,
% 4.02/2.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s14, s15)) | node7(s14, s15))),
% 4.02/2.86 inference(quant_inst,[status(thm)],[])).
% 4.02/2.86 tff(1603,plain,
% 4.02/2.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s14, s15)) | node7(s14, s15)),
% 4.02/2.86 inference(modus_ponens,[status(thm)],[1602, 1601])).
% 4.02/2.86 tff(1604,plain,
% 4.02/2.86 (node7(s14, s15)),
% 4.02/2.86 inference(unit_resolution,[status(thm)],[1603, 206, 1600])).
% 4.02/2.86 tff(1605,plain,
% 4.02/2.86 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s15, c_n1) | (~m_main_v_state1(s14, c_c1)) | node1(s14) | node2(s14) | node3(s14) | node4(s14) | node5(s14) | (~node7(s14, s15)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s15, c_n1) | (~m_main_v_state1(s14, c_c1)) | node1(s14) | node2(s14) | node3(s14) | node4(s14) | node5(s14) | (~node7(s14, s15)))),
% 4.02/2.86 inference(rewrite,[status(thm)],[])).
% 4.02/2.86 tff(1606,plain,
% 4.02/2.86 (((~m_main_v_state1(s14, c_c1)) | node1(s14) | node2(s14) | node3(s14) | node4(s14) | node5(s14) | (~node7(s14, s15)) | m_main_v_state1(s15, c_n1)) <=> (m_main_v_state1(s15, c_n1) | (~m_main_v_state1(s14, c_c1)) | node1(s14) | node2(s14) | node3(s14) | node4(s14) | node5(s14) | (~node7(s14, s15)))),
% 4.02/2.86 inference(rewrite,[status(thm)],[])).
% 4.02/2.86 tff(1607,plain,
% 4.02/2.86 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s14, c_c1)) | node1(s14) | node2(s14) | node3(s14) | node4(s14) | node5(s14) | (~node7(s14, s15)) | m_main_v_state1(s15, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s15, c_n1) | (~m_main_v_state1(s14, c_c1)) | node1(s14) | node2(s14) | node3(s14) | node4(s14) | node5(s14) | (~node7(s14, s15))))),
% 4.02/2.86 inference(monotonicity,[status(thm)],[1606])).
% 4.02/2.86 tff(1608,plain,
% 4.02/2.86 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s14, c_c1)) | node1(s14) | node2(s14) | node3(s14) | node4(s14) | node5(s14) | (~node7(s14, s15)) | m_main_v_state1(s15, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s15, c_n1) | (~m_main_v_state1(s14, c_c1)) | node1(s14) | node2(s14) | node3(s14) | node4(s14) | node5(s14) | (~node7(s14, s15)))),
% 4.02/2.86 inference(transitivity,[status(thm)],[1607, 1605])).
% 4.02/2.86 tff(1609,plain,
% 4.02/2.86 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s14, c_c1)) | node1(s14) | node2(s14) | node3(s14) | node4(s14) | node5(s14) | (~node7(s14, s15)) | m_main_v_state1(s15, c_n1))),
% 4.02/2.86 inference(quant_inst,[status(thm)],[])).
% 4.02/2.86 tff(1610,plain,
% 4.02/2.86 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s15, c_n1) | (~m_main_v_state1(s14, c_c1)) | node1(s14) | node2(s14) | node3(s14) | node4(s14) | node5(s14) | (~node7(s14, s15))),
% 4.02/2.86 inference(modus_ponens,[status(thm)],[1609, 1608])).
% 4.02/2.86 tff(1611,plain,
% 4.02/2.86 (m_main_v_state1(s15, c_n1) | (~m_main_v_state1(s14, c_c1)) | node1(s14) | node2(s14) | node3(s14) | node4(s14) | node5(s14)),
% 4.02/2.86 inference(unit_resolution,[status(thm)],[1610, 584, 1604])).
% 4.02/2.86 tff(1612,plain,
% 4.02/2.86 (m_main_v_state1(s15, c_n1)),
% 4.02/2.86 inference(unit_resolution,[status(thm)],[1611, 1593, 1548, 1585, 1581, 1573, 1556])).
% 4.02/2.86 tff(1613,plain,
% 4.02/2.86 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s13, c_t2) | (~node15(s13)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s13, c_t2) | (~node15(s13)))),
% 4.02/2.86 inference(rewrite,[status(thm)],[])).
% 4.02/2.86 tff(1614,plain,
% 4.02/2.86 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s13, c_t2) | (~node15(s13)))),
% 4.02/2.86 inference(quant_inst,[status(thm)],[])).
% 4.02/2.86 tff(1615,plain,
% 4.02/2.86 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s13, c_t2) | (~node15(s13))),
% 4.02/2.86 inference(modus_ponens,[status(thm)],[1614, 1613])).
% 4.02/2.86 tff(1616,plain,
% 4.02/2.86 (~node15(s13)),
% 4.02/2.86 inference(unit_resolution,[status(thm)],[1615, 103, 1525])).
% 4.02/2.86 tff(1617,plain,
% 4.02/2.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s13, s14)) | node18(s13, s14))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s13, s14)) | node18(s13, s14))),
% 4.02/2.86 inference(rewrite,[status(thm)],[])).
% 4.02/2.86 tff(1618,plain,
% 4.02/2.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s13, s14)) | node18(s13, s14))),
% 4.02/2.86 inference(quant_inst,[status(thm)],[])).
% 4.02/2.86 tff(1619,plain,
% 4.02/2.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s13, s14)) | node18(s13, s14)),
% 4.02/2.86 inference(modus_ponens,[status(thm)],[1618, 1617])).
% 4.02/2.86 tff(1620,plain,
% 4.02/2.86 (node18(s13, s14)),
% 4.02/2.86 inference(unit_resolution,[status(thm)],[1619, 125, 1536])).
% 4.02/2.86 tff(1621,plain,
% 4.02/2.86 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s13) | (~node18(s13, s14)) | (~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | m_main_v_turn(s14, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s13) | (~node18(s13, s14)) | (~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | m_main_v_turn(s14, c_1))),
% 4.02/2.86 inference(rewrite,[status(thm)],[])).
% 4.02/2.86 tff(1622,plain,
% 4.02/2.86 (((~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | node15(s13) | (~node18(s13, s14)) | m_main_v_turn(s14, c_1)) <=> (node15(s13) | (~node18(s13, s14)) | (~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | m_main_v_turn(s14, c_1))),
% 4.02/2.87 inference(rewrite,[status(thm)],[])).
% 4.02/2.87 tff(1623,plain,
% 4.02/2.87 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | node15(s13) | (~node18(s13, s14)) | m_main_v_turn(s14, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s13) | (~node18(s13, s14)) | (~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | m_main_v_turn(s14, c_1)))),
% 4.02/2.87 inference(monotonicity,[status(thm)],[1622])).
% 4.02/2.87 tff(1624,plain,
% 4.02/2.87 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | node15(s13) | (~node18(s13, s14)) | m_main_v_turn(s14, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s13) | (~node18(s13, s14)) | (~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | m_main_v_turn(s14, c_1))),
% 4.02/2.87 inference(transitivity,[status(thm)],[1623, 1621])).
% 4.02/2.87 tff(1625,plain,
% 4.02/2.87 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | node15(s13) | (~node18(s13, s14)) | m_main_v_turn(s14, c_1))),
% 4.02/2.87 inference(quant_inst,[status(thm)],[])).
% 4.02/2.87 tff(1626,plain,
% 4.02/2.87 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s13) | (~node18(s13, s14)) | (~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | m_main_v_turn(s14, c_1)),
% 4.02/2.87 inference(modus_ponens,[status(thm)],[1625, 1624])).
% 4.02/2.87 tff(1627,plain,
% 4.02/2.87 (node15(s13) | (~m_main_v_state1(s13, c_t1)) | (~m_main_v_state2(s13, c_n2)) | m_main_v_turn(s14, c_1)),
% 4.02/2.87 inference(unit_resolution,[status(thm)],[1626, 992, 1620])).
% 4.02/2.87 tff(1628,plain,
% 4.02/2.87 (m_main_v_turn(s14, c_1)),
% 4.02/2.87 inference(unit_resolution,[status(thm)],[1627, 1616, 1453, 1521])).
% 4.02/2.87 tff(1629,plain,
% 4.02/2.87 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s14, c_1)) | (~m_main_v_turn(s14, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s14, c_1)) | (~m_main_v_turn(s14, c_2)))),
% 4.02/2.87 inference(rewrite,[status(thm)],[])).
% 4.02/2.87 tff(1630,plain,
% 4.02/2.87 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s14, c_1)) | (~m_main_v_turn(s14, c_2)))),
% 4.02/2.87 inference(quant_inst,[status(thm)],[])).
% 4.02/2.87 tff(1631,plain,
% 4.02/2.87 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s14, c_1)) | (~m_main_v_turn(s14, c_2))),
% 4.02/2.87 inference(modus_ponens,[status(thm)],[1630, 1629])).
% 4.02/2.87 tff(1632,plain,
% 4.02/2.87 (~m_main_v_turn(s14, c_2)),
% 4.02/2.87 inference(unit_resolution,[status(thm)],[1631, 156, 1628])).
% 4.02/2.87 tff(1633,plain,
% 4.02/2.87 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s14, c_2) | (~node12(s14)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s14, c_2) | (~node12(s14)))),
% 4.02/2.87 inference(rewrite,[status(thm)],[])).
% 4.02/2.87 tff(1634,plain,
% 4.02/2.87 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s14, c_2) | (~node12(s14)))),
% 4.02/2.87 inference(quant_inst,[status(thm)],[])).
% 4.02/2.87 tff(1635,plain,
% 4.02/2.87 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s14, c_2) | (~node12(s14))),
% 4.02/2.87 inference(modus_ponens,[status(thm)],[1634, 1633])).
% 4.02/2.87 tff(1636,plain,
% 4.02/2.87 (~node12(s14)),
% 4.02/2.87 inference(unit_resolution,[status(thm)],[1635, 184, 1632])).
% 4.02/2.87 tff(1637,plain,
% 4.02/2.87 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s14, c_n2) | (~node8(s14)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s14, c_n2) | (~node8(s14)))),
% 4.02/2.87 inference(rewrite,[status(thm)],[])).
% 4.02/2.87 tff(1638,plain,
% 4.02/2.87 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s14, c_n2) | (~node8(s14)))),
% 4.02/2.87 inference(quant_inst,[status(thm)],[])).
% 4.02/2.87 tff(1639,plain,
% 4.02/2.87 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s14, c_n2) | (~node8(s14))),
% 4.02/2.87 inference(modus_ponens,[status(thm)],[1638, 1637])).
% 4.02/2.87 tff(1640,plain,
% 4.02/2.87 (~node8(s14)),
% 4.02/2.87 inference(unit_resolution,[status(thm)],[1639, 271, 1569])).
% 4.02/2.87 tff(1641,plain,
% 4.02/2.87 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s14, c_n2) | (~node9(s14)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s14, c_n2) | (~node9(s14)))),
% 4.02/2.87 inference(rewrite,[status(thm)],[])).
% 4.02/2.87 tff(1642,plain,
% 4.02/2.87 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s14, c_n2) | (~node9(s14)))),
% 4.02/2.87 inference(quant_inst,[status(thm)],[])).
% 4.02/2.87 tff(1643,plain,
% 4.02/2.87 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s14, c_n2) | (~node9(s14))),
% 4.02/2.87 inference(modus_ponens,[status(thm)],[1642, 1641])).
% 4.02/2.87 tff(1644,plain,
% 4.02/2.87 (~node9(s14)),
% 4.02/2.87 inference(unit_resolution,[status(thm)],[1643, 88, 1569])).
% 4.02/2.87 tff(1645,plain,
% 4.02/2.87 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s14, c_n2) | (~node10(s14)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s14, c_n2) | (~node10(s14)))),
% 4.02/2.87 inference(rewrite,[status(thm)],[])).
% 4.02/2.87 tff(1646,plain,
% 4.02/2.87 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s14, c_n2) | (~node10(s14)))),
% 4.02/2.87 inference(quant_inst,[status(thm)],[])).
% 4.02/2.87 tff(1647,plain,
% 4.02/2.87 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s14, c_n2) | (~node10(s14))),
% 4.02/2.87 inference(modus_ponens,[status(thm)],[1646, 1645])).
% 4.02/2.87 tff(1648,plain,
% 4.02/2.87 (~node10(s14)),
% 4.02/2.87 inference(unit_resolution,[status(thm)],[1647, 249, 1569])).
% 4.02/2.87 tff(1649,plain,
% 4.02/2.87 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s14, c_n1) | (~node11(s14)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s14, c_n1) | (~node11(s14)))),
% 4.02/2.87 inference(rewrite,[status(thm)],[])).
% 4.02/2.87 tff(1650,plain,
% 4.02/2.87 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s14, c_n1) | (~node11(s14)))),
% 4.02/2.87 inference(quant_inst,[status(thm)],[])).
% 4.02/2.87 tff(1651,plain,
% 4.02/2.87 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s14, c_n1) | (~node11(s14))),
% 4.02/2.87 inference(modus_ponens,[status(thm)],[1650, 1649])).
% 4.02/2.87 tff(1652,plain,
% 4.02/2.87 (~node11(s14)),
% 4.02/2.87 inference(unit_resolution,[status(thm)],[1651, 238, 1589])).
% 4.02/2.87 tff(1653,plain,
% 4.02/2.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s14, s15)) | node14(s14, s15))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s14, s15)) | node14(s14, s15))),
% 4.02/2.87 inference(rewrite,[status(thm)],[])).
% 4.02/2.87 tff(1654,plain,
% 4.02/2.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s14, s15)) | node14(s14, s15))),
% 4.02/2.87 inference(quant_inst,[status(thm)],[])).
% 4.02/2.87 tff(1655,plain,
% 4.02/2.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s14, s15)) | node14(s14, s15)),
% 4.02/2.87 inference(modus_ponens,[status(thm)],[1654, 1653])).
% 4.02/2.87 tff(1656,plain,
% 4.02/2.87 (node14(s14, s15)),
% 4.02/2.87 inference(unit_resolution,[status(thm)],[1655, 46, 1600])).
% 4.02/2.87 tff(1657,plain,
% 4.02/2.87 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s14, c_c2) | node9(s14) | node8(s14) | node10(s14) | node11(s14) | node12(s14) | node13(s14, s15) | (~node14(s14, s15)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s14, c_c2) | node9(s14) | node8(s14) | node10(s14) | node11(s14) | node12(s14) | node13(s14, s15) | (~node14(s14, s15)))),
% 4.02/2.87 inference(rewrite,[status(thm)],[])).
% 4.02/2.87 tff(1658,plain,
% 4.02/2.87 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s14, c_c2) | node9(s14) | node8(s14) | node10(s14) | node11(s14) | node12(s14) | node13(s14, s15) | (~node14(s14, s15)))),
% 4.02/2.87 inference(quant_inst,[status(thm)],[])).
% 4.02/2.87 tff(1659,plain,
% 4.02/2.87 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s14, c_c2) | node9(s14) | node8(s14) | node10(s14) | node11(s14) | node12(s14) | node13(s14, s15) | (~node14(s14, s15))),
% 4.02/2.87 inference(modus_ponens,[status(thm)],[1658, 1657])).
% 4.02/2.87 tff(1660,plain,
% 4.02/2.87 (m_main_v_state2(s14, c_c2) | node9(s14) | node8(s14) | node10(s14) | node11(s14) | node12(s14) | node13(s14, s15)),
% 4.02/2.87 inference(unit_resolution,[status(thm)],[1659, 296, 1656])).
% 4.02/2.87 tff(1661,plain,
% 4.02/2.87 (node13(s14, s15)),
% 4.02/2.87 inference(unit_resolution,[status(thm)],[1660, 1652, 1577, 1648, 1644, 1640, 1636])).
% 4.02/2.87 tff(1662,plain,
% 4.02/2.87 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s14, c_t2)) | m_main_v_state2(s15, c_t2) | (~node13(s14, s15)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s14, c_t2)) | m_main_v_state2(s15, c_t2) | (~node13(s14, s15)))),
% 4.02/2.87 inference(rewrite,[status(thm)],[])).
% 4.02/2.87 tff(1663,plain,
% 4.02/2.87 (((~node13(s14, s15)) | (~m_main_v_state2(s14, c_t2)) | m_main_v_state2(s15, c_t2)) <=> ((~m_main_v_state2(s14, c_t2)) | m_main_v_state2(s15, c_t2) | (~node13(s14, s15)))),
% 4.02/2.87 inference(rewrite,[status(thm)],[])).
% 4.02/2.87 tff(1664,plain,
% 4.02/2.87 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s14, s15)) | (~m_main_v_state2(s14, c_t2)) | m_main_v_state2(s15, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s14, c_t2)) | m_main_v_state2(s15, c_t2) | (~node13(s14, s15))))),
% 4.02/2.87 inference(monotonicity,[status(thm)],[1663])).
% 4.02/2.87 tff(1665,plain,
% 4.02/2.87 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s14, s15)) | (~m_main_v_state2(s14, c_t2)) | m_main_v_state2(s15, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s14, c_t2)) | m_main_v_state2(s15, c_t2) | (~node13(s14, s15)))),
% 4.02/2.87 inference(transitivity,[status(thm)],[1664, 1662])).
% 4.02/2.87 tff(1666,plain,
% 4.02/2.87 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s14, s15)) | (~m_main_v_state2(s14, c_t2)) | m_main_v_state2(s15, c_t2))),
% 4.02/2.87 inference(quant_inst,[status(thm)],[])).
% 4.02/2.87 tff(1667,plain,
% 4.02/2.87 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s14, c_t2)) | m_main_v_state2(s15, c_t2) | (~node13(s14, s15))),
% 4.02/2.87 inference(modus_ponens,[status(thm)],[1666, 1665])).
% 4.02/2.87 tff(1668,plain,
% 4.02/2.87 (m_main_v_state2(s15, c_t2)),
% 4.02/2.87 inference(unit_resolution,[status(thm)],[1667, 518, 1565, 1661])).
% 4.02/2.87 tff(1669,plain,
% 4.02/2.87 (succ(s15, s16) <=> succ(s15, s16)),
% 4.02/2.87 inference(rewrite,[status(thm)],[])).
% 4.02/2.87 tff(1670,axiom,(succ(s15, s16)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound16')).
% 4.02/2.87 tff(1671,plain,
% 4.02/2.87 (succ(s15, s16)),
% 4.02/2.87 inference(modus_ponens,[status(thm)],[1670, 1669])).
% 4.02/2.87 tff(1672,plain,
% 4.02/2.87 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s15, s16)) | trans(s15, s16))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s15, s16)) | trans(s15, s16))),
% 4.02/2.87 inference(rewrite,[status(thm)],[])).
% 4.02/2.87 tff(1673,plain,
% 4.02/2.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s15, s16)) | trans(s15, s16))),
% 4.02/2.87 inference(quant_inst,[status(thm)],[])).
% 4.02/2.87 tff(1674,plain,
% 4.02/2.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s15, s16)) | trans(s15, s16)),
% 4.02/2.87 inference(modus_ponens,[status(thm)],[1673, 1672])).
% 4.02/2.87 tff(1675,plain,
% 4.02/2.87 (trans(s15, s16)),
% 4.02/2.87 inference(unit_resolution,[status(thm)],[1674, 1671, 32])).
% 4.02/2.87 tff(1676,plain,
% 4.02/2.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s15, s16)) | node7(s15, s16))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s15, s16)) | node7(s15, s16))),
% 4.02/2.87 inference(rewrite,[status(thm)],[])).
% 4.02/2.87 tff(1677,plain,
% 4.02/2.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s15, s16)) | node7(s15, s16))),
% 4.02/2.87 inference(quant_inst,[status(thm)],[])).
% 4.02/2.87 tff(1678,plain,
% 4.02/2.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s15, s16)) | node7(s15, s16)),
% 4.02/2.87 inference(modus_ponens,[status(thm)],[1677, 1676])).
% 4.02/2.87 tff(1679,plain,
% 4.02/2.87 (node7(s15, s16)),
% 4.02/2.87 inference(unit_resolution,[status(thm)],[1678, 206, 1675])).
% 4.02/2.87 tff(1680,plain,
% 4.02/2.87 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s15, c_n1)) | (~m_main_v_state2(s15, c_t2)) | (~node7(s15, s16)) | m_main_v_state1(s16, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s15, c_n1)) | (~m_main_v_state2(s15, c_t2)) | (~node7(s15, s16)) | m_main_v_state1(s16, c_t1))),
% 4.02/2.87 inference(rewrite,[status(thm)],[])).
% 4.02/2.87 tff(1681,plain,
% 4.02/2.87 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s15, c_n1)) | (~m_main_v_state2(s15, c_t2)) | (~node7(s15, s16)) | m_main_v_state1(s16, c_t1))),
% 4.02/2.87 inference(quant_inst,[status(thm)],[])).
% 4.02/2.87 tff(1682,plain,
% 4.02/2.87 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s15, c_n1)) | (~m_main_v_state2(s15, c_t2)) | (~node7(s15, s16)) | m_main_v_state1(s16, c_t1)),
% 4.02/2.87 inference(modus_ponens,[status(thm)],[1681, 1680])).
% 4.02/2.87 tff(1683,plain,
% 4.02/2.87 ((~m_main_v_state1(s15, c_n1)) | (~m_main_v_state2(s15, c_t2)) | m_main_v_state1(s16, c_t1)),
% 4.02/2.87 inference(unit_resolution,[status(thm)],[1682, 651, 1679])).
% 4.02/2.87 tff(1684,plain,
% 4.02/2.87 (m_main_v_state1(s16, c_t1)),
% 4.02/2.87 inference(unit_resolution,[status(thm)],[1683, 1668, 1612])).
% 4.02/2.87 tff(1685,plain,
% 4.02/2.87 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s16, c_n1)) | (~m_main_v_state1(s16, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s16, c_n1)) | (~m_main_v_state1(s16, c_t1)))),
% 4.02/2.87 inference(rewrite,[status(thm)],[])).
% 4.02/2.87 tff(1686,plain,
% 4.02/2.87 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s16, c_n1)) | (~m_main_v_state1(s16, c_t1)))),
% 4.02/2.87 inference(quant_inst,[status(thm)],[])).
% 4.02/2.87 tff(1687,plain,
% 4.02/2.87 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s16, c_n1)) | (~m_main_v_state1(s16, c_t1))),
% 4.02/2.87 inference(modus_ponens,[status(thm)],[1686, 1685])).
% 4.02/2.87 tff(1688,plain,
% 4.02/2.87 (~m_main_v_state1(s16, c_n1)),
% 4.02/2.87 inference(unit_resolution,[status(thm)],[1687, 10, 1684])).
% 4.02/2.87 tff(1689,plain,
% 4.02/2.87 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s16, c_n1) | (~node1(s16)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s16, c_n1) | (~node1(s16)))),
% 4.02/2.87 inference(rewrite,[status(thm)],[])).
% 4.02/2.87 tff(1690,plain,
% 4.02/2.87 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s16, c_n1) | (~node1(s16)))),
% 4.02/2.87 inference(quant_inst,[status(thm)],[])).
% 4.02/2.87 tff(1691,plain,
% 4.02/2.87 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s16, c_n1) | (~node1(s16))),
% 4.02/2.87 inference(modus_ponens,[status(thm)],[1690, 1689])).
% 4.02/2.87 tff(1692,plain,
% 4.02/2.87 (~node1(s16)),
% 4.02/2.87 inference(unit_resolution,[status(thm)],[1691, 421, 1688])).
% 4.02/2.87 tff(1693,plain,
% 4.02/2.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s15, s16)) | node18(s15, s16))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s15, s16)) | node18(s15, s16))),
% 4.02/2.87 inference(rewrite,[status(thm)],[])).
% 4.02/2.87 tff(1694,plain,
% 4.02/2.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s15, s16)) | node18(s15, s16))),
% 4.02/2.87 inference(quant_inst,[status(thm)],[])).
% 4.02/2.87 tff(1695,plain,
% 4.02/2.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s15, s16)) | node18(s15, s16)),
% 4.02/2.87 inference(modus_ponens,[status(thm)],[1694, 1693])).
% 4.02/2.87 tff(1696,plain,
% 4.02/2.87 (node18(s15, s16)),
% 4.02/2.87 inference(unit_resolution,[status(thm)],[1695, 125, 1675])).
% 4.02/2.87 tff(1697,plain,
% 4.02/2.87 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s15, c_n1)) | (~m_main_v_state2(s15, c_t2)) | (~node18(s15, s16)) | m_main_v_turn(s16, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s15, c_n1)) | (~m_main_v_state2(s15, c_t2)) | (~node18(s15, s16)) | m_main_v_turn(s16, c_2))),
% 4.02/2.87 inference(rewrite,[status(thm)],[])).
% 4.02/2.87 tff(1698,plain,
% 4.02/2.87 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s15, c_n1)) | (~m_main_v_state2(s15, c_t2)) | (~node18(s15, s16)) | m_main_v_turn(s16, c_2))),
% 4.02/2.87 inference(quant_inst,[status(thm)],[])).
% 4.02/2.87 tff(1699,plain,
% 4.02/2.87 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s15, c_n1)) | (~m_main_v_state2(s15, c_t2)) | (~node18(s15, s16)) | m_main_v_turn(s16, c_2)),
% 4.02/2.87 inference(modus_ponens,[status(thm)],[1698, 1697])).
% 4.02/2.87 tff(1700,plain,
% 4.02/2.87 ((~m_main_v_state1(s15, c_n1)) | (~m_main_v_state2(s15, c_t2)) | m_main_v_turn(s16, c_2)),
% 4.02/2.87 inference(unit_resolution,[status(thm)],[1699, 760, 1696])).
% 4.02/2.87 tff(1701,plain,
% 4.02/2.87 (m_main_v_turn(s16, c_2)),
% 4.02/2.87 inference(unit_resolution,[status(thm)],[1700, 1668, 1612])).
% 4.02/2.87 tff(1702,plain,
% 4.02/2.87 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s16, c_1)) | (~m_main_v_turn(s16, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s16, c_1)) | (~m_main_v_turn(s16, c_2)))),
% 4.02/2.87 inference(rewrite,[status(thm)],[])).
% 4.02/2.87 tff(1703,plain,
% 4.02/2.87 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s16, c_1)) | (~m_main_v_turn(s16, c_2)))),
% 4.02/2.87 inference(quant_inst,[status(thm)],[])).
% 4.02/2.87 tff(1704,plain,
% 4.02/2.87 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s16, c_1)) | (~m_main_v_turn(s16, c_2))),
% 4.02/2.87 inference(modus_ponens,[status(thm)],[1703, 1702])).
% 4.02/2.87 tff(1705,plain,
% 4.02/2.87 (~m_main_v_turn(s16, c_1)),
% 4.02/2.87 inference(unit_resolution,[status(thm)],[1704, 156, 1701])).
% 4.02/2.87 tff(1706,plain,
% 4.02/2.87 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s16, c_1) | (~node5(s16)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s16, c_1) | (~node5(s16)))),
% 4.02/2.87 inference(rewrite,[status(thm)],[])).
% 4.02/2.87 tff(1707,plain,
% 4.02/2.87 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s16, c_1) | (~node5(s16)))),
% 4.02/2.87 inference(quant_inst,[status(thm)],[])).
% 4.02/2.87 tff(1708,plain,
% 4.02/2.87 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s16, c_1) | (~node5(s16))),
% 4.02/2.87 inference(modus_ponens,[status(thm)],[1707, 1706])).
% 4.02/2.87 tff(1709,plain,
% 4.02/2.87 (~node5(s16)),
% 4.02/2.87 inference(unit_resolution,[status(thm)],[1708, 776, 1705])).
% 4.02/2.87 tff(1710,plain,
% 4.02/2.87 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s16, c_n1) | (~node2(s16)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s16, c_n1) | (~node2(s16)))),
% 4.02/2.87 inference(rewrite,[status(thm)],[])).
% 4.02/2.87 tff(1711,plain,
% 4.02/2.87 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s16, c_n1) | (~node2(s16)))),
% 4.02/2.87 inference(quant_inst,[status(thm)],[])).
% 4.02/2.87 tff(1712,plain,
% 4.02/2.87 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s16, c_n1) | (~node2(s16))),
% 4.02/2.87 inference(modus_ponens,[status(thm)],[1711, 1710])).
% 4.02/2.87 tff(1713,plain,
% 4.02/2.87 (~node2(s16)),
% 4.02/2.87 inference(unit_resolution,[status(thm)],[1712, 787, 1688])).
% 4.02/2.87 tff(1714,plain,
% 4.02/2.87 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s16, c_n1) | (~node3(s16)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s16, c_n1) | (~node3(s16)))),
% 4.02/2.87 inference(rewrite,[status(thm)],[])).
% 4.02/2.87 tff(1715,plain,
% 4.02/2.87 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s16, c_n1) | (~node3(s16)))),
% 4.02/2.87 inference(quant_inst,[status(thm)],[])).
% 4.02/2.87 tff(1716,plain,
% 4.02/2.87 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s16, c_n1) | (~node3(s16))),
% 4.02/2.87 inference(modus_ponens,[status(thm)],[1715, 1714])).
% 4.02/2.87 tff(1717,plain,
% 4.02/2.87 (~node3(s16)),
% 4.02/2.87 inference(unit_resolution,[status(thm)],[1716, 798, 1688])).
% 4.02/2.87 tff(1718,plain,
% 4.02/2.87 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s16, c_t1)) | (~m_main_v_state1(s16, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s16, c_t1)) | (~m_main_v_state1(s16, c_c1)))),
% 4.02/2.87 inference(rewrite,[status(thm)],[])).
% 4.02/2.87 tff(1719,plain,
% 4.02/2.87 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s16, c_t1)) | (~m_main_v_state1(s16, c_c1)))),
% 4.02/2.87 inference(quant_inst,[status(thm)],[])).
% 4.02/2.87 tff(1720,plain,
% 4.02/2.87 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s16, c_t1)) | (~m_main_v_state1(s16, c_c1))),
% 4.02/2.87 inference(modus_ponens,[status(thm)],[1719, 1718])).
% 4.02/2.87 tff(1721,plain,
% 4.02/2.87 (~m_main_v_state1(s16, c_c1)),
% 4.02/2.87 inference(unit_resolution,[status(thm)],[1720, 539, 1684])).
% 4.02/2.87 tff(1722,plain,
% 4.02/2.87 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s14, c_n2) | (~m_main_v_state2(s15, c_n2)) | (~node13(s14, s15)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s14, c_n2) | (~m_main_v_state2(s15, c_n2)) | (~node13(s14, s15)))),
% 4.02/2.87 inference(rewrite,[status(thm)],[])).
% 4.02/2.87 tff(1723,plain,
% 4.02/2.87 (((~node13(s14, s15)) | m_main_v_state2(s14, c_n2) | (~m_main_v_state2(s15, c_n2))) <=> (m_main_v_state2(s14, c_n2) | (~m_main_v_state2(s15, c_n2)) | (~node13(s14, s15)))),
% 4.02/2.87 inference(rewrite,[status(thm)],[])).
% 4.02/2.87 tff(1724,plain,
% 4.02/2.87 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s14, s15)) | m_main_v_state2(s14, c_n2) | (~m_main_v_state2(s15, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s14, c_n2) | (~m_main_v_state2(s15, c_n2)) | (~node13(s14, s15))))),
% 4.02/2.87 inference(monotonicity,[status(thm)],[1723])).
% 4.02/2.87 tff(1725,plain,
% 4.02/2.87 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s14, s15)) | m_main_v_state2(s14, c_n2) | (~m_main_v_state2(s15, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s14, c_n2) | (~m_main_v_state2(s15, c_n2)) | (~node13(s14, s15)))),
% 4.02/2.87 inference(transitivity,[status(thm)],[1724, 1722])).
% 4.02/2.87 tff(1726,plain,
% 4.02/2.87 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s14, s15)) | m_main_v_state2(s14, c_n2) | (~m_main_v_state2(s15, c_n2)))),
% 4.02/2.87 inference(quant_inst,[status(thm)],[])).
% 4.02/2.87 tff(1727,plain,
% 4.02/2.87 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s14, c_n2) | (~m_main_v_state2(s15, c_n2)) | (~node13(s14, s15))),
% 4.02/2.87 inference(modus_ponens,[status(thm)],[1726, 1725])).
% 4.02/2.87 tff(1728,plain,
% 4.02/2.87 (~m_main_v_state2(s15, c_n2)),
% 4.02/2.87 inference(unit_resolution,[status(thm)],[1727, 311, 1569, 1661])).
% 4.02/2.87 tff(1729,plain,
% 4.02/2.87 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s15, c_n2) | (~node9(s15)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s15, c_n2) | (~node9(s15)))),
% 4.02/2.87 inference(rewrite,[status(thm)],[])).
% 4.02/2.87 tff(1730,plain,
% 4.02/2.87 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s15, c_n2) | (~node9(s15)))),
% 4.02/2.87 inference(quant_inst,[status(thm)],[])).
% 4.02/2.87 tff(1731,plain,
% 4.02/2.87 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s15, c_n2) | (~node9(s15))),
% 4.02/2.87 inference(modus_ponens,[status(thm)],[1730, 1729])).
% 4.02/2.87 tff(1732,plain,
% 4.02/2.87 (~node9(s15)),
% 4.02/2.87 inference(unit_resolution,[status(thm)],[1731, 88, 1728])).
% 4.02/2.87 tff(1733,plain,
% 4.02/2.87 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s15, c_n2) | (~node10(s15)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s15, c_n2) | (~node10(s15)))),
% 4.02/2.87 inference(rewrite,[status(thm)],[])).
% 4.02/2.87 tff(1734,plain,
% 4.02/2.87 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s15, c_n2) | (~node10(s15)))),
% 4.02/2.87 inference(quant_inst,[status(thm)],[])).
% 4.02/2.87 tff(1735,plain,
% 4.02/2.87 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s15, c_n2) | (~node10(s15))),
% 4.02/2.87 inference(modus_ponens,[status(thm)],[1734, 1733])).
% 4.02/2.87 tff(1736,plain,
% 4.02/2.87 (~node10(s15)),
% 4.02/2.87 inference(unit_resolution,[status(thm)],[1735, 249, 1728])).
% 4.02/2.87 tff(1737,plain,
% 4.02/2.87 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s15, c_n2) | (~node8(s15)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s15, c_n2) | (~node8(s15)))),
% 4.02/2.87 inference(rewrite,[status(thm)],[])).
% 4.02/2.87 tff(1738,plain,
% 4.02/2.87 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s15, c_n2) | (~node8(s15)))),
% 4.02/2.87 inference(quant_inst,[status(thm)],[])).
% 4.02/2.87 tff(1739,plain,
% 4.02/2.87 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s15, c_n2) | (~node8(s15))),
% 4.02/2.87 inference(modus_ponens,[status(thm)],[1738, 1737])).
% 4.02/2.87 tff(1740,plain,
% 4.02/2.87 (~node8(s15)),
% 4.02/2.87 inference(unit_resolution,[status(thm)],[1739, 271, 1728])).
% 4.02/2.87 tff(1741,plain,
% 4.02/2.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s15, s16)) | node14(s15, s16))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s15, s16)) | node14(s15, s16))),
% 4.02/2.87 inference(rewrite,[status(thm)],[])).
% 4.02/2.87 tff(1742,plain,
% 4.02/2.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s15, s16)) | node14(s15, s16))),
% 4.02/2.87 inference(quant_inst,[status(thm)],[])).
% 4.02/2.87 tff(1743,plain,
% 4.02/2.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s15, s16)) | node14(s15, s16)),
% 4.02/2.87 inference(modus_ponens,[status(thm)],[1742, 1741])).
% 4.02/2.87 tff(1744,plain,
% 4.02/2.87 (node14(s15, s16)),
% 4.02/2.87 inference(unit_resolution,[status(thm)],[1743, 46, 1675])).
% 4.02/2.87 tff(1745,plain,
% 4.02/2.87 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s15, c_n1)) | (~m_main_v_state2(s15, c_t2)) | node9(s15) | node8(s15) | node10(s15) | (~node14(s15, s16)) | m_main_v_state2(s16, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s15, c_n1)) | (~m_main_v_state2(s15, c_t2)) | node9(s15) | node8(s15) | node10(s15) | (~node14(s15, s16)) | m_main_v_state2(s16, c_c2))),
% 4.02/2.87 inference(rewrite,[status(thm)],[])).
% 4.02/2.87 tff(1746,plain,
% 4.02/2.87 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s15, c_n1)) | (~m_main_v_state2(s15, c_t2)) | node9(s15) | node8(s15) | node10(s15) | (~node14(s15, s16)) | m_main_v_state2(s16, c_c2))),
% 4.02/2.87 inference(quant_inst,[status(thm)],[])).
% 4.02/2.87 tff(1747,plain,
% 4.02/2.87 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s15, c_n1)) | (~m_main_v_state2(s15, c_t2)) | node9(s15) | node8(s15) | node10(s15) | (~node14(s15, s16)) | m_main_v_state2(s16, c_c2)),
% 4.02/2.88 inference(modus_ponens,[status(thm)],[1746, 1745])).
% 4.02/2.88 tff(1748,plain,
% 4.02/2.88 ((~m_main_v_state1(s15, c_n1)) | (~m_main_v_state2(s15, c_t2)) | node9(s15) | node8(s15) | node10(s15) | m_main_v_state2(s16, c_c2)),
% 4.02/2.88 inference(unit_resolution,[status(thm)],[1747, 617, 1744])).
% 4.02/2.88 tff(1749,plain,
% 4.02/2.88 (m_main_v_state2(s16, c_c2)),
% 4.02/2.88 inference(unit_resolution,[status(thm)],[1748, 1740, 1612, 1668, 1736, 1732])).
% 4.02/2.88 tff(1750,plain,
% 4.02/2.88 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s16, c_n2)) | (~m_main_v_state2(s16, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s16, c_n2)) | (~m_main_v_state2(s16, c_c2)))),
% 4.02/2.88 inference(rewrite,[status(thm)],[])).
% 4.02/2.88 tff(1751,plain,
% 4.02/2.88 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s16, c_n2)) | (~m_main_v_state2(s16, c_c2)))),
% 4.02/2.88 inference(quant_inst,[status(thm)],[])).
% 4.02/2.88 tff(1752,plain,
% 4.02/2.88 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s16, c_n2)) | (~m_main_v_state2(s16, c_c2))),
% 4.02/2.88 inference(modus_ponens,[status(thm)],[1751, 1750])).
% 4.02/2.88 tff(1753,plain,
% 4.02/2.88 (~m_main_v_state2(s16, c_n2)),
% 4.02/2.88 inference(unit_resolution,[status(thm)],[1752, 697, 1749])).
% 4.02/2.88 tff(1754,plain,
% 4.02/2.88 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s16, c_n2) | (~node4(s16)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s16, c_n2) | (~node4(s16)))),
% 4.02/2.88 inference(rewrite,[status(thm)],[])).
% 4.02/2.88 tff(1755,plain,
% 4.02/2.88 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s16, c_n2) | (~node4(s16)))),
% 4.02/2.88 inference(quant_inst,[status(thm)],[])).
% 4.02/2.88 tff(1756,plain,
% 4.02/2.88 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s16, c_n2) | (~node4(s16))),
% 4.02/2.88 inference(modus_ponens,[status(thm)],[1755, 1754])).
% 4.02/2.88 tff(1757,plain,
% 4.02/2.88 (~node4(s16)),
% 4.02/2.88 inference(unit_resolution,[status(thm)],[1756, 388, 1753])).
% 4.02/2.88 tff(1758,plain,
% 4.02/2.88 (succ(s16, s17) <=> succ(s16, s17)),
% 4.02/2.88 inference(rewrite,[status(thm)],[])).
% 4.02/2.88 tff(1759,axiom,(succ(s16, s17)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound17')).
% 4.02/2.88 tff(1760,plain,
% 4.02/2.88 (succ(s16, s17)),
% 4.02/2.88 inference(modus_ponens,[status(thm)],[1759, 1758])).
% 4.02/2.88 tff(1761,plain,
% 4.02/2.88 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s16, s17)) | trans(s16, s17))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s16, s17)) | trans(s16, s17))),
% 4.02/2.88 inference(rewrite,[status(thm)],[])).
% 4.02/2.88 tff(1762,plain,
% 4.02/2.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s16, s17)) | trans(s16, s17))),
% 4.02/2.88 inference(quant_inst,[status(thm)],[])).
% 4.02/2.88 tff(1763,plain,
% 4.02/2.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s16, s17)) | trans(s16, s17)),
% 4.02/2.88 inference(modus_ponens,[status(thm)],[1762, 1761])).
% 4.02/2.88 tff(1764,plain,
% 4.02/2.88 (trans(s16, s17)),
% 4.02/2.88 inference(unit_resolution,[status(thm)],[1763, 1760, 32])).
% 4.02/2.88 tff(1765,plain,
% 4.02/2.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s16, s17)) | node7(s16, s17))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s16, s17)) | node7(s16, s17))),
% 4.02/2.88 inference(rewrite,[status(thm)],[])).
% 4.02/2.88 tff(1766,plain,
% 4.02/2.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s16, s17)) | node7(s16, s17))),
% 4.02/2.88 inference(quant_inst,[status(thm)],[])).
% 4.02/2.88 tff(1767,plain,
% 4.02/2.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s16, s17)) | node7(s16, s17)),
% 4.02/2.88 inference(modus_ponens,[status(thm)],[1766, 1765])).
% 4.02/2.88 tff(1768,plain,
% 4.02/2.88 (node7(s16, s17)),
% 4.02/2.88 inference(unit_resolution,[status(thm)],[1767, 206, 1764])).
% 4.02/2.88 tff(1769,plain,
% 4.02/2.88 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s16, c_c1) | node1(s16) | node2(s16) | node3(s16) | node4(s16) | node5(s16) | node6(s16, s17) | (~node7(s16, s17)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s16, c_c1) | node1(s16) | node2(s16) | node3(s16) | node4(s16) | node5(s16) | node6(s16, s17) | (~node7(s16, s17)))),
% 4.02/2.88 inference(rewrite,[status(thm)],[])).
% 4.02/2.88 tff(1770,plain,
% 4.02/2.88 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s16, c_c1) | node1(s16) | node2(s16) | node3(s16) | node4(s16) | node5(s16) | node6(s16, s17) | (~node7(s16, s17)))),
% 4.02/2.88 inference(quant_inst,[status(thm)],[])).
% 4.02/2.88 tff(1771,plain,
% 4.02/2.88 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s16, c_c1) | node1(s16) | node2(s16) | node3(s16) | node4(s16) | node5(s16) | node6(s16, s17) | (~node7(s16, s17))),
% 4.02/2.88 inference(modus_ponens,[status(thm)],[1770, 1769])).
% 4.02/2.88 tff(1772,plain,
% 4.02/2.88 (m_main_v_state1(s16, c_c1) | node1(s16) | node2(s16) | node3(s16) | node4(s16) | node5(s16) | node6(s16, s17)),
% 4.02/2.88 inference(unit_resolution,[status(thm)],[1771, 820, 1768])).
% 4.02/2.88 tff(1773,plain,
% 4.02/2.88 (node6(s16, s17)),
% 4.02/2.88 inference(unit_resolution,[status(thm)],[1772, 1757, 1721, 1717, 1713, 1709, 1692])).
% 4.02/2.88 tff(1774,plain,
% 4.02/2.88 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s16, c_t1)) | m_main_v_state1(s17, c_t1) | (~node6(s16, s17)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s16, c_t1)) | m_main_v_state1(s17, c_t1) | (~node6(s16, s17)))),
% 4.02/2.88 inference(rewrite,[status(thm)],[])).
% 4.02/2.88 tff(1775,plain,
% 4.02/2.88 (((~node6(s16, s17)) | (~m_main_v_state1(s16, c_t1)) | m_main_v_state1(s17, c_t1)) <=> ((~m_main_v_state1(s16, c_t1)) | m_main_v_state1(s17, c_t1) | (~node6(s16, s17)))),
% 4.02/2.88 inference(rewrite,[status(thm)],[])).
% 4.02/2.88 tff(1776,plain,
% 4.02/2.88 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s16, s17)) | (~m_main_v_state1(s16, c_t1)) | m_main_v_state1(s17, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s16, c_t1)) | m_main_v_state1(s17, c_t1) | (~node6(s16, s17))))),
% 4.02/2.88 inference(monotonicity,[status(thm)],[1775])).
% 4.02/2.88 tff(1777,plain,
% 4.02/2.88 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s16, s17)) | (~m_main_v_state1(s16, c_t1)) | m_main_v_state1(s17, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s16, c_t1)) | m_main_v_state1(s17, c_t1) | (~node6(s16, s17)))),
% 4.02/2.88 inference(transitivity,[status(thm)],[1776, 1774])).
% 4.02/2.88 tff(1778,plain,
% 4.02/2.88 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s16, s17)) | (~m_main_v_state1(s16, c_t1)) | m_main_v_state1(s17, c_t1))),
% 4.02/2.88 inference(quant_inst,[status(thm)],[])).
% 4.02/2.88 tff(1779,plain,
% 4.02/2.88 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s16, c_t1)) | m_main_v_state1(s17, c_t1) | (~node6(s16, s17))),
% 4.02/2.88 inference(modus_ponens,[status(thm)],[1778, 1777])).
% 4.02/2.88 tff(1780,plain,
% 4.02/2.88 (m_main_v_state1(s17, c_t1)),
% 4.02/2.88 inference(unit_resolution,[status(thm)],[1779, 856, 1684, 1773])).
% 4.02/2.88 tff(1781,plain,
% 4.02/2.88 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s16, c_t2)) | (~m_main_v_state2(s16, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s16, c_t2)) | (~m_main_v_state2(s16, c_c2)))),
% 4.02/2.88 inference(rewrite,[status(thm)],[])).
% 4.02/2.88 tff(1782,plain,
% 4.02/2.88 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s16, c_t2)) | (~m_main_v_state2(s16, c_c2)))),
% 4.02/2.88 inference(quant_inst,[status(thm)],[])).
% 4.02/2.88 tff(1783,plain,
% 4.02/2.88 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s16, c_t2)) | (~m_main_v_state2(s16, c_c2))),
% 4.02/2.88 inference(modus_ponens,[status(thm)],[1782, 1781])).
% 4.02/2.88 tff(1784,plain,
% 4.02/2.88 (~m_main_v_state2(s16, c_t2)),
% 4.02/2.88 inference(unit_resolution,[status(thm)],[1783, 260, 1749])).
% 4.02/2.88 tff(1785,plain,
% 4.02/2.88 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s16, c_t2) | (~node12(s16)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s16, c_t2) | (~node12(s16)))),
% 4.02/2.88 inference(rewrite,[status(thm)],[])).
% 4.02/2.88 tff(1786,plain,
% 4.02/2.88 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s16, c_t2) | (~node12(s16)))),
% 4.02/2.88 inference(quant_inst,[status(thm)],[])).
% 4.02/2.88 tff(1787,plain,
% 4.02/2.88 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s16, c_t2) | (~node12(s16))),
% 4.02/2.88 inference(modus_ponens,[status(thm)],[1786, 1785])).
% 4.02/2.88 tff(1788,plain,
% 4.02/2.88 (~node12(s16)),
% 4.02/2.88 inference(unit_resolution,[status(thm)],[1787, 633, 1784])).
% 4.02/2.88 tff(1789,plain,
% 4.02/2.88 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s16, c_n1) | (~node11(s16)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s16, c_n1) | (~node11(s16)))),
% 4.02/2.88 inference(rewrite,[status(thm)],[])).
% 4.02/2.88 tff(1790,plain,
% 4.02/2.88 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s16, c_n1) | (~node11(s16)))),
% 4.02/2.88 inference(quant_inst,[status(thm)],[])).
% 4.02/2.88 tff(1791,plain,
% 4.02/2.88 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s16, c_n1) | (~node11(s16))),
% 4.02/2.88 inference(modus_ponens,[status(thm)],[1790, 1789])).
% 4.02/2.88 tff(1792,plain,
% 4.02/2.88 (~node11(s16)),
% 4.02/2.88 inference(unit_resolution,[status(thm)],[1791, 238, 1688])).
% 4.02/2.88 tff(1793,plain,
% 4.02/2.88 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s16, c_c1) | (~node10(s16)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s16, c_c1) | (~node10(s16)))),
% 4.02/2.88 inference(rewrite,[status(thm)],[])).
% 4.02/2.88 tff(1794,plain,
% 4.02/2.88 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s16, c_c1) | (~node10(s16)))),
% 4.02/2.88 inference(quant_inst,[status(thm)],[])).
% 4.02/2.88 tff(1795,plain,
% 4.02/2.88 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s16, c_c1) | (~node10(s16))),
% 4.02/2.88 inference(modus_ponens,[status(thm)],[1794, 1793])).
% 4.02/2.88 tff(1796,plain,
% 4.02/2.88 (~node10(s16)),
% 4.02/2.88 inference(unit_resolution,[status(thm)],[1795, 675, 1721])).
% 4.02/2.88 tff(1797,plain,
% 4.02/2.88 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s16, c_n1) | (~node9(s16)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s16, c_n1) | (~node9(s16)))),
% 4.02/2.88 inference(rewrite,[status(thm)],[])).
% 4.02/2.88 tff(1798,plain,
% 4.02/2.88 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s16, c_n1) | (~node9(s16)))),
% 4.02/2.88 inference(quant_inst,[status(thm)],[])).
% 4.02/2.88 tff(1799,plain,
% 4.02/2.88 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s16, c_n1) | (~node9(s16))),
% 4.02/2.88 inference(modus_ponens,[status(thm)],[1798, 1797])).
% 4.02/2.88 tff(1800,plain,
% 4.02/2.88 (~node9(s16)),
% 4.02/2.88 inference(unit_resolution,[status(thm)],[1799, 686, 1688])).
% 4.02/2.88 tff(1801,plain,
% 4.02/2.88 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s16, c_n2) | (~node8(s16)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s16, c_n2) | (~node8(s16)))),
% 4.02/2.88 inference(rewrite,[status(thm)],[])).
% 4.02/2.88 tff(1802,plain,
% 4.02/2.88 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s16, c_n2) | (~node8(s16)))),
% 4.02/2.88 inference(quant_inst,[status(thm)],[])).
% 4.02/2.88 tff(1803,plain,
% 4.02/2.88 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s16, c_n2) | (~node8(s16))),
% 4.02/2.88 inference(modus_ponens,[status(thm)],[1802, 1801])).
% 4.02/2.88 tff(1804,plain,
% 4.02/2.88 (~node8(s16)),
% 4.02/2.88 inference(unit_resolution,[status(thm)],[1803, 271, 1753])).
% 4.02/2.88 tff(1805,plain,
% 4.02/2.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s16, s17)) | node14(s16, s17))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s16, s17)) | node14(s16, s17))),
% 4.02/2.88 inference(rewrite,[status(thm)],[])).
% 4.02/2.88 tff(1806,plain,
% 4.02/2.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s16, s17)) | node14(s16, s17))),
% 4.02/2.88 inference(quant_inst,[status(thm)],[])).
% 4.02/2.88 tff(1807,plain,
% 4.02/2.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s16, s17)) | node14(s16, s17)),
% 4.02/2.88 inference(modus_ponens,[status(thm)],[1806, 1805])).
% 4.02/2.88 tff(1808,plain,
% 4.02/2.88 (node14(s16, s17)),
% 4.02/2.88 inference(unit_resolution,[status(thm)],[1807, 46, 1764])).
% 4.02/2.88 tff(1809,plain,
% 4.02/2.88 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s17, c_n2) | node9(s16) | node8(s16) | node10(s16) | node11(s16) | node12(s16) | (~node14(s16, s17)) | (~m_main_v_state2(s16, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s17, c_n2) | node9(s16) | node8(s16) | node10(s16) | node11(s16) | node12(s16) | (~node14(s16, s17)) | (~m_main_v_state2(s16, c_c2)))),
% 4.02/2.88 inference(rewrite,[status(thm)],[])).
% 4.02/2.88 tff(1810,plain,
% 4.02/2.88 (((~m_main_v_state2(s16, c_c2)) | node9(s16) | node8(s16) | node10(s16) | node11(s16) | node12(s16) | (~node14(s16, s17)) | m_main_v_state2(s17, c_n2)) <=> (m_main_v_state2(s17, c_n2) | node9(s16) | node8(s16) | node10(s16) | node11(s16) | node12(s16) | (~node14(s16, s17)) | (~m_main_v_state2(s16, c_c2)))),
% 4.02/2.88 inference(rewrite,[status(thm)],[])).
% 4.02/2.88 tff(1811,plain,
% 4.02/2.88 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s16, c_c2)) | node9(s16) | node8(s16) | node10(s16) | node11(s16) | node12(s16) | (~node14(s16, s17)) | m_main_v_state2(s17, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s17, c_n2) | node9(s16) | node8(s16) | node10(s16) | node11(s16) | node12(s16) | (~node14(s16, s17)) | (~m_main_v_state2(s16, c_c2))))),
% 4.02/2.88 inference(monotonicity,[status(thm)],[1810])).
% 4.02/2.88 tff(1812,plain,
% 4.02/2.88 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s16, c_c2)) | node9(s16) | node8(s16) | node10(s16) | node11(s16) | node12(s16) | (~node14(s16, s17)) | m_main_v_state2(s17, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s17, c_n2) | node9(s16) | node8(s16) | node10(s16) | node11(s16) | node12(s16) | (~node14(s16, s17)) | (~m_main_v_state2(s16, c_c2)))),
% 4.02/2.88 inference(transitivity,[status(thm)],[1811, 1809])).
% 4.02/2.88 tff(1813,plain,
% 4.02/2.88 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s16, c_c2)) | node9(s16) | node8(s16) | node10(s16) | node11(s16) | node12(s16) | (~node14(s16, s17)) | m_main_v_state2(s17, c_n2))),
% 4.02/2.88 inference(quant_inst,[status(thm)],[])).
% 4.02/2.88 tff(1814,plain,
% 4.02/2.88 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s17, c_n2) | node9(s16) | node8(s16) | node10(s16) | node11(s16) | node12(s16) | (~node14(s16, s17)) | (~m_main_v_state2(s16, c_c2))),
% 4.02/2.88 inference(modus_ponens,[status(thm)],[1813, 1812])).
% 4.02/2.88 tff(1815,plain,
% 4.02/2.88 (m_main_v_state2(s17, c_n2) | node9(s16) | node8(s16) | node10(s16) | node11(s16) | node12(s16) | (~m_main_v_state2(s16, c_c2))),
% 4.02/2.88 inference(unit_resolution,[status(thm)],[1814, 726, 1808])).
% 4.02/2.88 tff(1816,plain,
% 4.02/2.88 (m_main_v_state2(s17, c_n2)),
% 4.02/2.88 inference(unit_resolution,[status(thm)],[1815, 1804, 1749, 1800, 1796, 1792, 1788])).
% 4.02/2.88 tff(1817,plain,
% 4.02/2.88 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s17, c_n2)) | (~m_main_v_state2(s17, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s17, c_n2)) | (~m_main_v_state2(s17, c_t2)))),
% 4.02/2.88 inference(rewrite,[status(thm)],[])).
% 4.02/2.88 tff(1818,plain,
% 4.02/2.88 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s17, c_n2)) | (~m_main_v_state2(s17, c_t2)))),
% 4.02/2.88 inference(quant_inst,[status(thm)],[])).
% 4.02/2.88 tff(1819,plain,
% 4.02/2.88 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s17, c_n2)) | (~m_main_v_state2(s17, c_t2))),
% 4.02/2.88 inference(modus_ponens,[status(thm)],[1818, 1817])).
% 4.02/2.88 tff(1820,plain,
% 4.02/2.88 (~m_main_v_state2(s17, c_t2)),
% 4.02/2.88 inference(unit_resolution,[status(thm)],[1819, 77, 1816])).
% 4.02/2.88 tff(1821,plain,
% 4.02/2.88 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s17, c_t2) | (~node15(s17)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s17, c_t2) | (~node15(s17)))),
% 4.02/2.88 inference(rewrite,[status(thm)],[])).
% 4.02/2.88 tff(1822,plain,
% 4.02/2.88 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s17, c_t2) | (~node15(s17)))),
% 4.02/2.88 inference(quant_inst,[status(thm)],[])).
% 4.02/2.88 tff(1823,plain,
% 4.02/2.88 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s17, c_t2) | (~node15(s17))),
% 4.02/2.88 inference(modus_ponens,[status(thm)],[1822, 1821])).
% 4.02/2.88 tff(1824,plain,
% 4.02/2.88 (~node15(s17)),
% 4.02/2.88 inference(unit_resolution,[status(thm)],[1823, 103, 1820])).
% 4.02/2.88 tff(1825,plain,
% 4.02/2.88 (succ(s17, s18) <=> succ(s17, s18)),
% 4.02/2.88 inference(rewrite,[status(thm)],[])).
% 4.02/2.88 tff(1826,axiom,(succ(s17, s18)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound18')).
% 4.02/2.88 tff(1827,plain,
% 4.02/2.88 (succ(s17, s18)),
% 4.02/2.88 inference(modus_ponens,[status(thm)],[1826, 1825])).
% 4.02/2.88 tff(1828,plain,
% 4.02/2.88 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s17, s18)) | trans(s17, s18))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s17, s18)) | trans(s17, s18))),
% 4.02/2.88 inference(rewrite,[status(thm)],[])).
% 4.02/2.88 tff(1829,plain,
% 4.02/2.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s17, s18)) | trans(s17, s18))),
% 4.02/2.88 inference(quant_inst,[status(thm)],[])).
% 4.02/2.88 tff(1830,plain,
% 4.02/2.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s17, s18)) | trans(s17, s18)),
% 4.02/2.88 inference(modus_ponens,[status(thm)],[1829, 1828])).
% 4.02/2.88 tff(1831,plain,
% 4.02/2.88 (trans(s17, s18)),
% 4.02/2.88 inference(unit_resolution,[status(thm)],[1830, 1827, 32])).
% 4.02/2.88 tff(1832,plain,
% 4.02/2.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s17, s18)) | node18(s17, s18))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s17, s18)) | node18(s17, s18))),
% 4.02/2.88 inference(rewrite,[status(thm)],[])).
% 4.02/2.88 tff(1833,plain,
% 4.02/2.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s17, s18)) | node18(s17, s18))),
% 4.02/2.88 inference(quant_inst,[status(thm)],[])).
% 4.02/2.88 tff(1834,plain,
% 4.02/2.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s17, s18)) | node18(s17, s18)),
% 4.02/2.88 inference(modus_ponens,[status(thm)],[1833, 1832])).
% 4.02/2.88 tff(1835,plain,
% 4.02/2.88 (node18(s17, s18)),
% 4.02/2.88 inference(unit_resolution,[status(thm)],[1834, 125, 1831])).
% 4.02/2.88 tff(1836,plain,
% 4.02/2.88 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s17) | (~node18(s17, s18)) | (~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | m_main_v_turn(s18, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s17) | (~node18(s17, s18)) | (~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | m_main_v_turn(s18, c_1))),
% 4.02/2.88 inference(rewrite,[status(thm)],[])).
% 4.02/2.88 tff(1837,plain,
% 4.02/2.88 (((~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | node15(s17) | (~node18(s17, s18)) | m_main_v_turn(s18, c_1)) <=> (node15(s17) | (~node18(s17, s18)) | (~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | m_main_v_turn(s18, c_1))),
% 4.02/2.88 inference(rewrite,[status(thm)],[])).
% 4.02/2.88 tff(1838,plain,
% 4.02/2.88 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | node15(s17) | (~node18(s17, s18)) | m_main_v_turn(s18, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s17) | (~node18(s17, s18)) | (~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | m_main_v_turn(s18, c_1)))),
% 4.02/2.88 inference(monotonicity,[status(thm)],[1837])).
% 4.02/2.88 tff(1839,plain,
% 4.02/2.88 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | node15(s17) | (~node18(s17, s18)) | m_main_v_turn(s18, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s17) | (~node18(s17, s18)) | (~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | m_main_v_turn(s18, c_1))),
% 4.02/2.88 inference(transitivity,[status(thm)],[1838, 1836])).
% 4.02/2.88 tff(1840,plain,
% 4.02/2.88 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | node15(s17) | (~node18(s17, s18)) | m_main_v_turn(s18, c_1))),
% 4.02/2.88 inference(quant_inst,[status(thm)],[])).
% 4.02/2.88 tff(1841,plain,
% 4.02/2.88 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s17) | (~node18(s17, s18)) | (~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | m_main_v_turn(s18, c_1)),
% 4.02/2.88 inference(modus_ponens,[status(thm)],[1840, 1839])).
% 4.02/2.88 tff(1842,plain,
% 4.02/2.88 (node15(s17) | (~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | m_main_v_turn(s18, c_1)),
% 4.02/2.88 inference(unit_resolution,[status(thm)],[1841, 992, 1835])).
% 4.02/2.88 tff(1843,plain,
% 4.02/2.88 (m_main_v_turn(s18, c_1)),
% 4.02/2.88 inference(unit_resolution,[status(thm)],[1842, 1824, 1816, 1780])).
% 4.02/2.88 tff(1844,plain,
% 4.02/2.88 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s18, c_1)) | (~m_main_v_turn(s18, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s18, c_1)) | (~m_main_v_turn(s18, c_2)))),
% 4.02/2.88 inference(rewrite,[status(thm)],[])).
% 4.02/2.88 tff(1845,plain,
% 4.02/2.88 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s18, c_1)) | (~m_main_v_turn(s18, c_2)))),
% 4.02/2.88 inference(quant_inst,[status(thm)],[])).
% 4.02/2.88 tff(1846,plain,
% 4.02/2.88 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s18, c_1)) | (~m_main_v_turn(s18, c_2))),
% 4.02/2.88 inference(modus_ponens,[status(thm)],[1845, 1844])).
% 4.02/2.88 tff(1847,plain,
% 4.02/2.88 (~m_main_v_turn(s18, c_2)),
% 4.02/2.88 inference(unit_resolution,[status(thm)],[1846, 156, 1843])).
% 4.02/2.88 tff(1848,plain,
% 4.02/2.88 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s18, c_2) | (~node12(s18)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s18, c_2) | (~node12(s18)))),
% 4.02/2.88 inference(rewrite,[status(thm)],[])).
% 4.02/2.88 tff(1849,plain,
% 4.02/2.88 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s18, c_2) | (~node12(s18)))),
% 4.02/2.88 inference(quant_inst,[status(thm)],[])).
% 4.02/2.88 tff(1850,plain,
% 4.02/2.88 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s18, c_2) | (~node12(s18))),
% 4.02/2.88 inference(modus_ponens,[status(thm)],[1849, 1848])).
% 4.02/2.88 tff(1851,plain,
% 4.02/2.88 (~node12(s18)),
% 4.02/2.88 inference(unit_resolution,[status(thm)],[1850, 184, 1847])).
% 4.02/2.88 tff(1852,plain,
% 4.02/2.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s17, s18)) | node14(s17, s18))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s17, s18)) | node14(s17, s18))),
% 4.02/2.88 inference(rewrite,[status(thm)],[])).
% 4.02/2.88 tff(1853,plain,
% 4.02/2.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s17, s18)) | node14(s17, s18))),
% 4.02/2.88 inference(quant_inst,[status(thm)],[])).
% 4.02/2.88 tff(1854,plain,
% 4.02/2.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s17, s18)) | node14(s17, s18)),
% 4.02/2.88 inference(modus_ponens,[status(thm)],[1853, 1852])).
% 4.02/2.88 tff(1855,plain,
% 4.02/2.88 (node14(s17, s18)),
% 4.02/2.88 inference(unit_resolution,[status(thm)],[1854, 46, 1831])).
% 4.02/2.88 tff(1856,plain,
% 4.02/2.88 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | (~node14(s17, s18)) | m_main_v_state2(s18, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | (~node14(s17, s18)) | m_main_v_state2(s18, c_t2))),
% 4.02/2.88 inference(rewrite,[status(thm)],[])).
% 4.02/2.88 tff(1857,plain,
% 4.02/2.88 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | (~node14(s17, s18)) | m_main_v_state2(s18, c_t2))),
% 4.02/2.88 inference(quant_inst,[status(thm)],[])).
% 4.02/2.88 tff(1858,plain,
% 4.02/2.88 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | (~node14(s17, s18)) | m_main_v_state2(s18, c_t2)),
% 4.02/2.88 inference(modus_ponens,[status(thm)],[1857, 1856])).
% 4.02/2.88 tff(1859,plain,
% 4.02/2.88 ((~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | m_main_v_state2(s18, c_t2)),
% 4.02/2.88 inference(unit_resolution,[status(thm)],[1858, 922, 1855])).
% 4.02/2.88 tff(1860,plain,
% 4.02/2.88 (m_main_v_state2(s18, c_t2)),
% 4.02/2.88 inference(unit_resolution,[status(thm)],[1859, 1780, 1816])).
% 4.02/2.88 tff(1861,plain,
% 4.02/2.88 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s18, c_n2)) | (~m_main_v_state2(s18, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s18, c_n2)) | (~m_main_v_state2(s18, c_t2)))),
% 4.02/2.88 inference(rewrite,[status(thm)],[])).
% 4.02/2.88 tff(1862,plain,
% 4.02/2.88 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s18, c_n2)) | (~m_main_v_state2(s18, c_t2)))),
% 4.02/2.88 inference(quant_inst,[status(thm)],[])).
% 4.02/2.88 tff(1863,plain,
% 4.02/2.88 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s18, c_n2)) | (~m_main_v_state2(s18, c_t2))),
% 4.02/2.88 inference(modus_ponens,[status(thm)],[1862, 1861])).
% 4.02/2.88 tff(1864,plain,
% 4.02/2.88 (~m_main_v_state2(s18, c_n2)),
% 4.02/2.88 inference(unit_resolution,[status(thm)],[1863, 77, 1860])).
% 4.02/2.88 tff(1865,plain,
% 4.02/2.88 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s18, c_n2) | (~node8(s18)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s18, c_n2) | (~node8(s18)))),
% 4.02/2.88 inference(rewrite,[status(thm)],[])).
% 4.02/2.88 tff(1866,plain,
% 4.02/2.88 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s18, c_n2) | (~node8(s18)))),
% 4.02/2.88 inference(quant_inst,[status(thm)],[])).
% 4.02/2.88 tff(1867,plain,
% 4.02/2.88 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s18, c_n2) | (~node8(s18))),
% 4.02/2.88 inference(modus_ponens,[status(thm)],[1866, 1865])).
% 4.02/2.88 tff(1868,plain,
% 4.02/2.88 (~node8(s18)),
% 4.02/2.88 inference(unit_resolution,[status(thm)],[1867, 271, 1864])).
% 4.02/2.88 tff(1869,plain,
% 4.02/2.88 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s18, c_n2) | (~node9(s18)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s18, c_n2) | (~node9(s18)))),
% 4.02/2.88 inference(rewrite,[status(thm)],[])).
% 4.02/2.88 tff(1870,plain,
% 4.02/2.88 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s18, c_n2) | (~node9(s18)))),
% 4.02/2.88 inference(quant_inst,[status(thm)],[])).
% 4.02/2.88 tff(1871,plain,
% 4.02/2.89 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s18, c_n2) | (~node9(s18))),
% 4.02/2.89 inference(modus_ponens,[status(thm)],[1870, 1869])).
% 4.02/2.89 tff(1872,plain,
% 4.02/2.89 (~node9(s18)),
% 4.02/2.89 inference(unit_resolution,[status(thm)],[1871, 88, 1864])).
% 4.02/2.89 tff(1873,plain,
% 4.02/2.89 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s18, c_n2) | (~node10(s18)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s18, c_n2) | (~node10(s18)))),
% 4.02/2.89 inference(rewrite,[status(thm)],[])).
% 4.02/2.89 tff(1874,plain,
% 4.02/2.89 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s18, c_n2) | (~node10(s18)))),
% 4.02/2.89 inference(quant_inst,[status(thm)],[])).
% 4.02/2.89 tff(1875,plain,
% 4.02/2.89 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s18, c_n2) | (~node10(s18))),
% 4.02/2.89 inference(modus_ponens,[status(thm)],[1874, 1873])).
% 4.02/2.89 tff(1876,plain,
% 4.02/2.89 (~node10(s18)),
% 4.02/2.89 inference(unit_resolution,[status(thm)],[1875, 249, 1864])).
% 4.02/2.89 tff(1877,plain,
% 4.02/2.89 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s18, c_t2)) | (~m_main_v_state2(s18, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s18, c_t2)) | (~m_main_v_state2(s18, c_c2)))),
% 4.02/2.89 inference(rewrite,[status(thm)],[])).
% 4.02/2.89 tff(1878,plain,
% 4.02/2.89 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s18, c_t2)) | (~m_main_v_state2(s18, c_c2)))),
% 4.02/2.89 inference(quant_inst,[status(thm)],[])).
% 4.02/2.89 tff(1879,plain,
% 4.02/2.89 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s18, c_t2)) | (~m_main_v_state2(s18, c_c2))),
% 4.02/2.89 inference(modus_ponens,[status(thm)],[1878, 1877])).
% 4.02/2.89 tff(1880,plain,
% 4.02/2.89 (~m_main_v_state2(s18, c_c2)),
% 4.02/2.89 inference(unit_resolution,[status(thm)],[1879, 260, 1860])).
% 4.02/2.89 tff(1881,plain,
% 4.02/2.89 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s17, c_n2)) | (~m_main_v_state2(s17, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s17, c_n2)) | (~m_main_v_state2(s17, c_c2)))),
% 4.02/2.89 inference(rewrite,[status(thm)],[])).
% 4.02/2.89 tff(1882,plain,
% 4.02/2.89 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s17, c_n2)) | (~m_main_v_state2(s17, c_c2)))),
% 4.02/2.89 inference(quant_inst,[status(thm)],[])).
% 4.02/2.89 tff(1883,plain,
% 4.02/2.89 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s17, c_n2)) | (~m_main_v_state2(s17, c_c2))),
% 4.02/2.89 inference(modus_ponens,[status(thm)],[1882, 1881])).
% 4.02/2.89 tff(1884,plain,
% 4.02/2.89 (~m_main_v_state2(s17, c_c2)),
% 4.02/2.89 inference(unit_resolution,[status(thm)],[1883, 697, 1816])).
% 4.02/2.89 tff(1885,plain,
% 4.02/2.89 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s17, c_c2) | (~node3(s17)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s17, c_c2) | (~node3(s17)))),
% 4.02/2.89 inference(rewrite,[status(thm)],[])).
% 4.02/2.89 tff(1886,plain,
% 4.02/2.89 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s17, c_c2) | (~node3(s17)))),
% 4.02/2.89 inference(quant_inst,[status(thm)],[])).
% 4.02/2.89 tff(1887,plain,
% 4.02/2.89 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s17, c_c2) | (~node3(s17))),
% 4.02/2.89 inference(modus_ponens,[status(thm)],[1886, 1885])).
% 4.02/2.89 tff(1888,plain,
% 4.02/2.89 (~node3(s17)),
% 4.02/2.89 inference(unit_resolution,[status(thm)],[1887, 399, 1884])).
% 4.02/2.89 tff(1889,plain,
% 4.02/2.89 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s16, c_n1) | (~m_main_v_state1(s17, c_n1)) | (~node6(s16, s17)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s16, c_n1) | (~m_main_v_state1(s17, c_n1)) | (~node6(s16, s17)))),
% 4.02/2.89 inference(rewrite,[status(thm)],[])).
% 4.02/2.89 tff(1890,plain,
% 4.02/2.89 (((~node6(s16, s17)) | m_main_v_state1(s16, c_n1) | (~m_main_v_state1(s17, c_n1))) <=> (m_main_v_state1(s16, c_n1) | (~m_main_v_state1(s17, c_n1)) | (~node6(s16, s17)))),
% 4.02/2.89 inference(rewrite,[status(thm)],[])).
% 4.02/2.89 tff(1891,plain,
% 4.02/2.89 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s16, s17)) | m_main_v_state1(s16, c_n1) | (~m_main_v_state1(s17, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s16, c_n1) | (~m_main_v_state1(s17, c_n1)) | (~node6(s16, s17))))),
% 4.02/2.89 inference(monotonicity,[status(thm)],[1890])).
% 4.02/2.89 tff(1892,plain,
% 4.02/2.89 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s16, s17)) | m_main_v_state1(s16, c_n1) | (~m_main_v_state1(s17, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s16, c_n1) | (~m_main_v_state1(s17, c_n1)) | (~node6(s16, s17)))),
% 4.02/2.89 inference(transitivity,[status(thm)],[1891, 1889])).
% 4.02/2.89 tff(1893,plain,
% 4.02/2.89 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s16, s17)) | m_main_v_state1(s16, c_n1) | (~m_main_v_state1(s17, c_n1)))),
% 4.02/2.89 inference(quant_inst,[status(thm)],[])).
% 4.02/2.89 tff(1894,plain,
% 4.02/2.89 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s16, c_n1) | (~m_main_v_state1(s17, c_n1)) | (~node6(s16, s17))),
% 4.02/2.89 inference(modus_ponens,[status(thm)],[1893, 1892])).
% 4.02/2.89 tff(1895,plain,
% 4.02/2.89 (~m_main_v_state1(s17, c_n1)),
% 4.02/2.89 inference(unit_resolution,[status(thm)],[1894, 835, 1688, 1773])).
% 4.02/2.89 tff(1896,plain,
% 4.02/2.89 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s17, c_n1) | (~node2(s17)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s17, c_n1) | (~node2(s17)))),
% 4.02/2.89 inference(rewrite,[status(thm)],[])).
% 4.02/2.89 tff(1897,plain,
% 4.02/2.89 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s17, c_n1) | (~node2(s17)))),
% 4.02/2.89 inference(quant_inst,[status(thm)],[])).
% 4.02/2.89 tff(1898,plain,
% 4.02/2.89 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s17, c_n1) | (~node2(s17))),
% 4.02/2.89 inference(modus_ponens,[status(thm)],[1897, 1896])).
% 4.02/2.89 tff(1899,plain,
% 4.02/2.89 (~node2(s17)),
% 4.02/2.89 inference(unit_resolution,[status(thm)],[1898, 787, 1895])).
% 4.02/2.89 tff(1900,plain,
% 4.02/2.89 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s17, c_t2) | (~node1(s17)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s17, c_t2) | (~node1(s17)))),
% 4.02/2.89 inference(rewrite,[status(thm)],[])).
% 4.02/2.89 tff(1901,plain,
% 4.02/2.89 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s17, c_t2) | (~node1(s17)))),
% 4.02/2.89 inference(quant_inst,[status(thm)],[])).
% 4.02/2.89 tff(1902,plain,
% 4.02/2.89 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s17, c_t2) | (~node1(s17))),
% 4.02/2.89 inference(modus_ponens,[status(thm)],[1901, 1900])).
% 4.02/2.89 tff(1903,plain,
% 4.02/2.89 (~node1(s17)),
% 4.02/2.89 inference(unit_resolution,[status(thm)],[1902, 195, 1820])).
% 4.02/2.89 tff(1904,plain,
% 4.02/2.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s17, s18)) | node7(s17, s18))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s17, s18)) | node7(s17, s18))),
% 4.02/2.89 inference(rewrite,[status(thm)],[])).
% 4.02/2.89 tff(1905,plain,
% 4.02/2.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s17, s18)) | node7(s17, s18))),
% 4.02/2.89 inference(quant_inst,[status(thm)],[])).
% 4.02/2.89 tff(1906,plain,
% 4.02/2.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s17, s18)) | node7(s17, s18)),
% 4.02/2.89 inference(modus_ponens,[status(thm)],[1905, 1904])).
% 4.02/2.89 tff(1907,plain,
% 4.02/2.89 (node7(s17, s18)),
% 4.02/2.89 inference(unit_resolution,[status(thm)],[1906, 206, 1831])).
% 4.02/2.89 tff(1908,plain,
% 4.02/2.89 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | m_main_v_state1(s18, c_c1) | node1(s17) | node2(s17) | node3(s17) | (~node7(s17, s18)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | m_main_v_state1(s18, c_c1) | node1(s17) | node2(s17) | node3(s17) | (~node7(s17, s18)))),
% 4.02/2.89 inference(rewrite,[status(thm)],[])).
% 4.02/2.89 tff(1909,plain,
% 4.02/2.89 (((~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | node1(s17) | node2(s17) | node3(s17) | (~node7(s17, s18)) | m_main_v_state1(s18, c_c1)) <=> ((~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | m_main_v_state1(s18, c_c1) | node1(s17) | node2(s17) | node3(s17) | (~node7(s17, s18)))),
% 4.02/2.89 inference(rewrite,[status(thm)],[])).
% 4.02/2.89 tff(1910,plain,
% 4.02/2.89 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | node1(s17) | node2(s17) | node3(s17) | (~node7(s17, s18)) | m_main_v_state1(s18, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | m_main_v_state1(s18, c_c1) | node1(s17) | node2(s17) | node3(s17) | (~node7(s17, s18))))),
% 4.02/2.89 inference(monotonicity,[status(thm)],[1909])).
% 4.02/2.89 tff(1911,plain,
% 4.02/2.89 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | node1(s17) | node2(s17) | node3(s17) | (~node7(s17, s18)) | m_main_v_state1(s18, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | m_main_v_state1(s18, c_c1) | node1(s17) | node2(s17) | node3(s17) | (~node7(s17, s18)))),
% 4.02/2.89 inference(transitivity,[status(thm)],[1910, 1908])).
% 4.02/2.89 tff(1912,plain,
% 4.02/2.89 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | node1(s17) | node2(s17) | node3(s17) | (~node7(s17, s18)) | m_main_v_state1(s18, c_c1))),
% 4.02/2.89 inference(quant_inst,[status(thm)],[])).
% 4.02/2.89 tff(1913,plain,
% 4.02/2.89 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | m_main_v_state1(s18, c_c1) | node1(s17) | node2(s17) | node3(s17) | (~node7(s17, s18))),
% 4.02/2.89 inference(modus_ponens,[status(thm)],[1912, 1911])).
% 4.02/2.89 tff(1914,plain,
% 4.02/2.89 ((~m_main_v_state1(s17, c_t1)) | (~m_main_v_state2(s17, c_n2)) | m_main_v_state1(s18, c_c1) | node1(s17) | node2(s17) | node3(s17)),
% 4.02/2.89 inference(unit_resolution,[status(thm)],[1913, 892, 1907])).
% 4.02/2.89 tff(1915,plain,
% 4.02/2.89 (m_main_v_state1(s18, c_c1)),
% 4.02/2.89 inference(unit_resolution,[status(thm)],[1914, 1903, 1816, 1780, 1899, 1888])).
% 4.02/2.89 tff(1916,plain,
% 4.02/2.89 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s18, c_n1)) | (~m_main_v_state1(s18, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s18, c_n1)) | (~m_main_v_state1(s18, c_c1)))),
% 4.02/2.89 inference(rewrite,[status(thm)],[])).
% 4.02/2.89 tff(1917,plain,
% 4.02/2.89 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s18, c_n1)) | (~m_main_v_state1(s18, c_c1)))),
% 4.02/2.89 inference(quant_inst,[status(thm)],[])).
% 4.02/2.89 tff(1918,plain,
% 4.02/2.89 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s18, c_n1)) | (~m_main_v_state1(s18, c_c1))),
% 4.02/2.89 inference(modus_ponens,[status(thm)],[1917, 1916])).
% 4.02/2.89 tff(1919,plain,
% 4.02/2.89 (~m_main_v_state1(s18, c_n1)),
% 4.02/2.89 inference(unit_resolution,[status(thm)],[1918, 454, 1915])).
% 4.02/2.89 tff(1920,plain,
% 4.02/2.89 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s18, c_n1) | (~node11(s18)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s18, c_n1) | (~node11(s18)))),
% 4.02/2.89 inference(rewrite,[status(thm)],[])).
% 4.02/2.89 tff(1921,plain,
% 4.02/2.89 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s18, c_n1) | (~node11(s18)))),
% 4.02/2.89 inference(quant_inst,[status(thm)],[])).
% 4.02/2.89 tff(1922,plain,
% 4.02/2.89 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s18, c_n1) | (~node11(s18))),
% 4.02/2.89 inference(modus_ponens,[status(thm)],[1921, 1920])).
% 4.02/2.89 tff(1923,plain,
% 4.02/2.89 (~node11(s18)),
% 4.02/2.89 inference(unit_resolution,[status(thm)],[1922, 238, 1919])).
% 4.02/2.89 tff(1924,plain,
% 4.02/2.89 (succ(s18, s19) <=> succ(s18, s19)),
% 4.02/2.89 inference(rewrite,[status(thm)],[])).
% 4.02/2.89 tff(1925,axiom,(succ(s18, s19)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound19')).
% 4.02/2.89 tff(1926,plain,
% 4.02/2.89 (succ(s18, s19)),
% 4.02/2.89 inference(modus_ponens,[status(thm)],[1925, 1924])).
% 4.02/2.89 tff(1927,plain,
% 4.02/2.89 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s18, s19)) | trans(s18, s19))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s18, s19)) | trans(s18, s19))),
% 4.02/2.89 inference(rewrite,[status(thm)],[])).
% 4.02/2.89 tff(1928,plain,
% 4.02/2.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s18, s19)) | trans(s18, s19))),
% 4.02/2.89 inference(quant_inst,[status(thm)],[])).
% 4.02/2.89 tff(1929,plain,
% 4.02/2.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s18, s19)) | trans(s18, s19)),
% 4.02/2.89 inference(modus_ponens,[status(thm)],[1928, 1927])).
% 4.02/2.89 tff(1930,plain,
% 4.02/2.89 (trans(s18, s19)),
% 4.02/2.89 inference(unit_resolution,[status(thm)],[1929, 1926, 32])).
% 4.02/2.89 tff(1931,plain,
% 4.02/2.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s18, s19)) | node14(s18, s19))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s18, s19)) | node14(s18, s19))),
% 4.02/2.89 inference(rewrite,[status(thm)],[])).
% 4.02/2.89 tff(1932,plain,
% 4.02/2.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s18, s19)) | node14(s18, s19))),
% 4.02/2.89 inference(quant_inst,[status(thm)],[])).
% 4.02/2.89 tff(1933,plain,
% 4.02/2.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s18, s19)) | node14(s18, s19)),
% 4.02/2.89 inference(modus_ponens,[status(thm)],[1932, 1931])).
% 4.02/2.89 tff(1934,plain,
% 4.02/2.89 (node14(s18, s19)),
% 4.02/2.89 inference(unit_resolution,[status(thm)],[1933, 46, 1930])).
% 4.02/2.89 tff(1935,plain,
% 4.02/2.89 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s18, c_c2) | node9(s18) | node8(s18) | node10(s18) | node11(s18) | node12(s18) | node13(s18, s19) | (~node14(s18, s19)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s18, c_c2) | node9(s18) | node8(s18) | node10(s18) | node11(s18) | node12(s18) | node13(s18, s19) | (~node14(s18, s19)))),
% 4.02/2.89 inference(rewrite,[status(thm)],[])).
% 4.02/2.89 tff(1936,plain,
% 4.02/2.89 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s18, c_c2) | node9(s18) | node8(s18) | node10(s18) | node11(s18) | node12(s18) | node13(s18, s19) | (~node14(s18, s19)))),
% 4.02/2.89 inference(quant_inst,[status(thm)],[])).
% 4.02/2.89 tff(1937,plain,
% 4.02/2.89 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s18, c_c2) | node9(s18) | node8(s18) | node10(s18) | node11(s18) | node12(s18) | node13(s18, s19) | (~node14(s18, s19))),
% 4.02/2.89 inference(modus_ponens,[status(thm)],[1936, 1935])).
% 4.02/2.89 tff(1938,plain,
% 4.02/2.89 (m_main_v_state2(s18, c_c2) | node9(s18) | node8(s18) | node10(s18) | node11(s18) | node12(s18) | node13(s18, s19)),
% 4.02/2.89 inference(unit_resolution,[status(thm)],[1937, 296, 1934])).
% 4.02/2.89 tff(1939,plain,
% 4.02/2.89 (node13(s18, s19)),
% 4.02/2.89 inference(unit_resolution,[status(thm)],[1938, 1923, 1880, 1876, 1872, 1868, 1851])).
% 4.02/2.89 tff(1940,plain,
% 4.02/2.89 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s18, c_n2) | (~m_main_v_state2(s19, c_n2)) | (~node13(s18, s19)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s18, c_n2) | (~m_main_v_state2(s19, c_n2)) | (~node13(s18, s19)))),
% 4.02/2.89 inference(rewrite,[status(thm)],[])).
% 4.02/2.89 tff(1941,plain,
% 4.02/2.89 (((~node13(s18, s19)) | m_main_v_state2(s18, c_n2) | (~m_main_v_state2(s19, c_n2))) <=> (m_main_v_state2(s18, c_n2) | (~m_main_v_state2(s19, c_n2)) | (~node13(s18, s19)))),
% 4.02/2.89 inference(rewrite,[status(thm)],[])).
% 4.02/2.89 tff(1942,plain,
% 4.02/2.89 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s18, s19)) | m_main_v_state2(s18, c_n2) | (~m_main_v_state2(s19, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s18, c_n2) | (~m_main_v_state2(s19, c_n2)) | (~node13(s18, s19))))),
% 4.02/2.89 inference(monotonicity,[status(thm)],[1941])).
% 4.02/2.89 tff(1943,plain,
% 4.02/2.89 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s18, s19)) | m_main_v_state2(s18, c_n2) | (~m_main_v_state2(s19, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s18, c_n2) | (~m_main_v_state2(s19, c_n2)) | (~node13(s18, s19)))),
% 4.02/2.89 inference(transitivity,[status(thm)],[1942, 1940])).
% 4.02/2.89 tff(1944,plain,
% 4.02/2.89 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s18, s19)) | m_main_v_state2(s18, c_n2) | (~m_main_v_state2(s19, c_n2)))),
% 4.02/2.89 inference(quant_inst,[status(thm)],[])).
% 4.02/2.89 tff(1945,plain,
% 4.02/2.89 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s18, c_n2) | (~m_main_v_state2(s19, c_n2)) | (~node13(s18, s19))),
% 4.02/2.89 inference(modus_ponens,[status(thm)],[1944, 1943])).
% 4.02/2.89 tff(1946,plain,
% 4.02/2.89 (~m_main_v_state2(s19, c_n2)),
% 4.02/2.89 inference(unit_resolution,[status(thm)],[1945, 311, 1864, 1939])).
% 4.02/2.89 tff(1947,plain,
% 4.02/2.89 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s19, c_n2) | (~node9(s19)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s19, c_n2) | (~node9(s19)))),
% 4.02/2.89 inference(rewrite,[status(thm)],[])).
% 4.02/2.89 tff(1948,plain,
% 4.02/2.89 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s19, c_n2) | (~node9(s19)))),
% 4.02/2.89 inference(quant_inst,[status(thm)],[])).
% 4.02/2.89 tff(1949,plain,
% 4.02/2.89 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s19, c_n2) | (~node9(s19))),
% 4.02/2.89 inference(modus_ponens,[status(thm)],[1948, 1947])).
% 4.02/2.89 tff(1950,plain,
% 4.02/2.89 (~node9(s19)),
% 4.02/2.89 inference(unit_resolution,[status(thm)],[1949, 88, 1946])).
% 4.02/2.89 tff(1951,plain,
% 4.02/2.89 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s19, c_n2) | (~node10(s19)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s19, c_n2) | (~node10(s19)))),
% 4.02/2.89 inference(rewrite,[status(thm)],[])).
% 4.02/2.89 tff(1952,plain,
% 4.02/2.89 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s19, c_n2) | (~node10(s19)))),
% 4.02/2.89 inference(quant_inst,[status(thm)],[])).
% 4.02/2.89 tff(1953,plain,
% 4.02/2.89 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s19, c_n2) | (~node10(s19))),
% 4.02/2.89 inference(modus_ponens,[status(thm)],[1952, 1951])).
% 4.02/2.89 tff(1954,plain,
% 4.02/2.89 (~node10(s19)),
% 4.02/2.89 inference(unit_resolution,[status(thm)],[1953, 249, 1946])).
% 4.02/2.89 tff(1955,plain,
% 4.02/2.89 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s18, c_t2)) | m_main_v_state2(s19, c_t2) | (~node13(s18, s19)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s18, c_t2)) | m_main_v_state2(s19, c_t2) | (~node13(s18, s19)))),
% 4.02/2.89 inference(rewrite,[status(thm)],[])).
% 4.02/2.89 tff(1956,plain,
% 4.02/2.89 (((~node13(s18, s19)) | (~m_main_v_state2(s18, c_t2)) | m_main_v_state2(s19, c_t2)) <=> ((~m_main_v_state2(s18, c_t2)) | m_main_v_state2(s19, c_t2) | (~node13(s18, s19)))),
% 4.02/2.89 inference(rewrite,[status(thm)],[])).
% 4.02/2.89 tff(1957,plain,
% 4.02/2.89 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s18, s19)) | (~m_main_v_state2(s18, c_t2)) | m_main_v_state2(s19, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s18, c_t2)) | m_main_v_state2(s19, c_t2) | (~node13(s18, s19))))),
% 4.02/2.89 inference(monotonicity,[status(thm)],[1956])).
% 4.02/2.89 tff(1958,plain,
% 4.02/2.89 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s18, s19)) | (~m_main_v_state2(s18, c_t2)) | m_main_v_state2(s19, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s18, c_t2)) | m_main_v_state2(s19, c_t2) | (~node13(s18, s19)))),
% 4.02/2.89 inference(transitivity,[status(thm)],[1957, 1955])).
% 4.02/2.89 tff(1959,plain,
% 4.02/2.89 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s18, s19)) | (~m_main_v_state2(s18, c_t2)) | m_main_v_state2(s19, c_t2))),
% 4.02/2.89 inference(quant_inst,[status(thm)],[])).
% 4.02/2.89 tff(1960,plain,
% 4.02/2.89 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s18, c_t2)) | m_main_v_state2(s19, c_t2) | (~node13(s18, s19))),
% 4.02/2.89 inference(modus_ponens,[status(thm)],[1959, 1958])).
% 4.02/2.89 tff(1961,plain,
% 4.02/2.89 (m_main_v_state2(s19, c_t2)),
% 4.02/2.89 inference(unit_resolution,[status(thm)],[1960, 518, 1860, 1939])).
% 4.02/2.89 tff(1962,plain,
% 4.02/2.89 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s18, c_t1)) | (~m_main_v_state1(s18, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s18, c_t1)) | (~m_main_v_state1(s18, c_c1)))),
% 4.02/2.89 inference(rewrite,[status(thm)],[])).
% 4.02/2.89 tff(1963,plain,
% 4.02/2.89 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s18, c_t1)) | (~m_main_v_state1(s18, c_c1)))),
% 4.02/2.89 inference(quant_inst,[status(thm)],[])).
% 4.02/2.89 tff(1964,plain,
% 4.02/2.89 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s18, c_t1)) | (~m_main_v_state1(s18, c_c1))),
% 4.02/2.89 inference(modus_ponens,[status(thm)],[1963, 1962])).
% 4.02/2.89 tff(1965,plain,
% 4.02/2.89 (~m_main_v_state1(s18, c_t1)),
% 4.02/2.89 inference(unit_resolution,[status(thm)],[1964, 539, 1915])).
% 4.02/2.89 tff(1966,plain,
% 4.02/2.89 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s18, c_t1) | (~node5(s18)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s18, c_t1) | (~node5(s18)))),
% 4.02/2.89 inference(rewrite,[status(thm)],[])).
% 4.02/2.89 tff(1967,plain,
% 4.02/2.89 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s18, c_t1) | (~node5(s18)))),
% 4.02/2.89 inference(quant_inst,[status(thm)],[])).
% 4.02/2.89 tff(1968,plain,
% 4.02/2.89 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s18, c_t1) | (~node5(s18))),
% 4.02/2.89 inference(modus_ponens,[status(thm)],[1967, 1966])).
% 4.02/2.89 tff(1969,plain,
% 4.02/2.89 (~node5(s18)),
% 4.02/2.89 inference(unit_resolution,[status(thm)],[1968, 550, 1965])).
% 4.02/2.89 tff(1970,plain,
% 4.02/2.89 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s18, c_n2) | (~node4(s18)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s18, c_n2) | (~node4(s18)))),
% 4.02/2.89 inference(rewrite,[status(thm)],[])).
% 4.02/2.89 tff(1971,plain,
% 4.02/2.89 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s18, c_n2) | (~node4(s18)))),
% 4.02/2.89 inference(quant_inst,[status(thm)],[])).
% 4.02/2.89 tff(1972,plain,
% 4.02/2.89 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s18, c_n2) | (~node4(s18))),
% 4.02/2.89 inference(modus_ponens,[status(thm)],[1971, 1970])).
% 4.02/2.89 tff(1973,plain,
% 4.02/2.89 (~node4(s18)),
% 4.02/2.89 inference(unit_resolution,[status(thm)],[1972, 388, 1864])).
% 4.06/2.89 tff(1974,plain,
% 4.06/2.89 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s18, c_c2) | (~node3(s18)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s18, c_c2) | (~node3(s18)))),
% 4.06/2.89 inference(rewrite,[status(thm)],[])).
% 4.06/2.89 tff(1975,plain,
% 4.06/2.89 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s18, c_c2) | (~node3(s18)))),
% 4.06/2.89 inference(quant_inst,[status(thm)],[])).
% 4.06/2.89 tff(1976,plain,
% 4.06/2.89 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s18, c_c2) | (~node3(s18))),
% 4.06/2.89 inference(modus_ponens,[status(thm)],[1975, 1974])).
% 4.06/2.89 tff(1977,plain,
% 4.06/2.89 (~node3(s18)),
% 4.06/2.89 inference(unit_resolution,[status(thm)],[1976, 399, 1880])).
% 4.06/2.89 tff(1978,plain,
% 4.06/2.89 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s18, c_n2) | (~node2(s18)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s18, c_n2) | (~node2(s18)))),
% 4.06/2.89 inference(rewrite,[status(thm)],[])).
% 4.06/2.89 tff(1979,plain,
% 4.06/2.89 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s18, c_n2) | (~node2(s18)))),
% 4.06/2.89 inference(quant_inst,[status(thm)],[])).
% 4.06/2.89 tff(1980,plain,
% 4.06/2.89 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s18, c_n2) | (~node2(s18))),
% 4.06/2.89 inference(modus_ponens,[status(thm)],[1979, 1978])).
% 4.06/2.89 tff(1981,plain,
% 4.06/2.89 (~node2(s18)),
% 4.06/2.89 inference(unit_resolution,[status(thm)],[1980, 410, 1864])).
% 4.06/2.89 tff(1982,plain,
% 4.06/2.89 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s18, c_n1) | (~node1(s18)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s18, c_n1) | (~node1(s18)))),
% 4.06/2.89 inference(rewrite,[status(thm)],[])).
% 4.06/2.89 tff(1983,plain,
% 4.06/2.89 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s18, c_n1) | (~node1(s18)))),
% 4.06/2.89 inference(quant_inst,[status(thm)],[])).
% 4.06/2.89 tff(1984,plain,
% 4.06/2.89 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s18, c_n1) | (~node1(s18))),
% 4.06/2.89 inference(modus_ponens,[status(thm)],[1983, 1982])).
% 4.06/2.89 tff(1985,plain,
% 4.06/2.89 (~node1(s18)),
% 4.06/2.89 inference(unit_resolution,[status(thm)],[1984, 421, 1919])).
% 4.06/2.89 tff(1986,plain,
% 4.06/2.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s18, s19)) | node7(s18, s19))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s18, s19)) | node7(s18, s19))),
% 4.06/2.89 inference(rewrite,[status(thm)],[])).
% 4.06/2.89 tff(1987,plain,
% 4.06/2.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s18, s19)) | node7(s18, s19))),
% 4.06/2.89 inference(quant_inst,[status(thm)],[])).
% 4.06/2.89 tff(1988,plain,
% 4.06/2.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s18, s19)) | node7(s18, s19)),
% 4.06/2.89 inference(modus_ponens,[status(thm)],[1987, 1986])).
% 4.06/2.89 tff(1989,plain,
% 4.06/2.89 (node7(s18, s19)),
% 4.06/2.89 inference(unit_resolution,[status(thm)],[1988, 206, 1930])).
% 4.06/2.89 tff(1990,plain,
% 4.06/2.89 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s19, c_n1) | (~m_main_v_state1(s18, c_c1)) | node1(s18) | node2(s18) | node3(s18) | node4(s18) | node5(s18) | (~node7(s18, s19)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s19, c_n1) | (~m_main_v_state1(s18, c_c1)) | node1(s18) | node2(s18) | node3(s18) | node4(s18) | node5(s18) | (~node7(s18, s19)))),
% 4.06/2.89 inference(rewrite,[status(thm)],[])).
% 4.06/2.89 tff(1991,plain,
% 4.06/2.89 (((~m_main_v_state1(s18, c_c1)) | node1(s18) | node2(s18) | node3(s18) | node4(s18) | node5(s18) | (~node7(s18, s19)) | m_main_v_state1(s19, c_n1)) <=> (m_main_v_state1(s19, c_n1) | (~m_main_v_state1(s18, c_c1)) | node1(s18) | node2(s18) | node3(s18) | node4(s18) | node5(s18) | (~node7(s18, s19)))),
% 4.06/2.89 inference(rewrite,[status(thm)],[])).
% 4.06/2.89 tff(1992,plain,
% 4.06/2.89 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s18, c_c1)) | node1(s18) | node2(s18) | node3(s18) | node4(s18) | node5(s18) | (~node7(s18, s19)) | m_main_v_state1(s19, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s19, c_n1) | (~m_main_v_state1(s18, c_c1)) | node1(s18) | node2(s18) | node3(s18) | node4(s18) | node5(s18) | (~node7(s18, s19))))),
% 4.06/2.90 inference(monotonicity,[status(thm)],[1991])).
% 4.06/2.90 tff(1993,plain,
% 4.06/2.90 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s18, c_c1)) | node1(s18) | node2(s18) | node3(s18) | node4(s18) | node5(s18) | (~node7(s18, s19)) | m_main_v_state1(s19, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s19, c_n1) | (~m_main_v_state1(s18, c_c1)) | node1(s18) | node2(s18) | node3(s18) | node4(s18) | node5(s18) | (~node7(s18, s19)))),
% 4.06/2.90 inference(transitivity,[status(thm)],[1992, 1990])).
% 4.06/2.90 tff(1994,plain,
% 4.06/2.90 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s18, c_c1)) | node1(s18) | node2(s18) | node3(s18) | node4(s18) | node5(s18) | (~node7(s18, s19)) | m_main_v_state1(s19, c_n1))),
% 4.06/2.90 inference(quant_inst,[status(thm)],[])).
% 4.06/2.90 tff(1995,plain,
% 4.06/2.90 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s19, c_n1) | (~m_main_v_state1(s18, c_c1)) | node1(s18) | node2(s18) | node3(s18) | node4(s18) | node5(s18) | (~node7(s18, s19))),
% 4.06/2.90 inference(modus_ponens,[status(thm)],[1994, 1993])).
% 4.06/2.90 tff(1996,plain,
% 4.06/2.90 (m_main_v_state1(s19, c_n1) | (~m_main_v_state1(s18, c_c1)) | node1(s18) | node2(s18) | node3(s18) | node4(s18) | node5(s18)),
% 4.06/2.90 inference(unit_resolution,[status(thm)],[1995, 584, 1989])).
% 4.06/2.90 tff(1997,plain,
% 4.06/2.90 (m_main_v_state1(s19, c_n1)),
% 4.06/2.90 inference(unit_resolution,[status(thm)],[1996, 1985, 1915, 1981, 1977, 1973, 1969])).
% 4.06/2.90 tff(1998,plain,
% 4.06/2.90 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s19, c_n2) | (~node8(s19)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s19, c_n2) | (~node8(s19)))),
% 4.06/2.90 inference(rewrite,[status(thm)],[])).
% 4.06/2.90 tff(1999,plain,
% 4.06/2.90 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s19, c_n2) | (~node8(s19)))),
% 4.06/2.90 inference(quant_inst,[status(thm)],[])).
% 4.06/2.90 tff(2000,plain,
% 4.06/2.90 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s19, c_n2) | (~node8(s19))),
% 4.06/2.90 inference(modus_ponens,[status(thm)],[1999, 1998])).
% 4.06/2.90 tff(2001,plain,
% 4.06/2.90 (~node8(s19)),
% 4.06/2.90 inference(unit_resolution,[status(thm)],[2000, 271, 1946])).
% 4.06/2.90 tff(2002,plain,
% 4.06/2.90 (succ(s19, s20) <=> succ(s19, s20)),
% 4.06/2.90 inference(rewrite,[status(thm)],[])).
% 4.06/2.90 tff(2003,axiom,(succ(s19, s20)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound20')).
% 4.06/2.90 tff(2004,plain,
% 4.06/2.90 (succ(s19, s20)),
% 4.06/2.90 inference(modus_ponens,[status(thm)],[2003, 2002])).
% 4.06/2.90 tff(2005,plain,
% 4.06/2.90 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s19, s20)) | trans(s19, s20))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s19, s20)) | trans(s19, s20))),
% 4.06/2.90 inference(rewrite,[status(thm)],[])).
% 4.06/2.90 tff(2006,plain,
% 4.06/2.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s19, s20)) | trans(s19, s20))),
% 4.06/2.90 inference(quant_inst,[status(thm)],[])).
% 4.06/2.90 tff(2007,plain,
% 4.06/2.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s19, s20)) | trans(s19, s20)),
% 4.06/2.90 inference(modus_ponens,[status(thm)],[2006, 2005])).
% 4.06/2.90 tff(2008,plain,
% 4.06/2.90 (trans(s19, s20)),
% 4.06/2.90 inference(unit_resolution,[status(thm)],[2007, 2004, 32])).
% 4.06/2.90 tff(2009,plain,
% 4.06/2.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s19, s20)) | node14(s19, s20))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s19, s20)) | node14(s19, s20))),
% 4.06/2.90 inference(rewrite,[status(thm)],[])).
% 4.06/2.90 tff(2010,plain,
% 4.06/2.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s19, s20)) | node14(s19, s20))),
% 4.06/2.90 inference(quant_inst,[status(thm)],[])).
% 4.06/2.90 tff(2011,plain,
% 4.06/2.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s19, s20)) | node14(s19, s20)),
% 4.06/2.90 inference(modus_ponens,[status(thm)],[2010, 2009])).
% 4.06/2.90 tff(2012,plain,
% 4.06/2.90 (node14(s19, s20)),
% 4.06/2.90 inference(unit_resolution,[status(thm)],[2011, 46, 2008])).
% 4.06/2.90 tff(2013,plain,
% 4.06/2.90 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s19, c_n1)) | (~m_main_v_state2(s19, c_t2)) | node9(s19) | node8(s19) | node10(s19) | (~node14(s19, s20)) | m_main_v_state2(s20, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s19, c_n1)) | (~m_main_v_state2(s19, c_t2)) | node9(s19) | node8(s19) | node10(s19) | (~node14(s19, s20)) | m_main_v_state2(s20, c_c2))),
% 4.06/2.90 inference(rewrite,[status(thm)],[])).
% 4.06/2.90 tff(2014,plain,
% 4.06/2.90 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s19, c_n1)) | (~m_main_v_state2(s19, c_t2)) | node9(s19) | node8(s19) | node10(s19) | (~node14(s19, s20)) | m_main_v_state2(s20, c_c2))),
% 4.06/2.90 inference(quant_inst,[status(thm)],[])).
% 4.06/2.90 tff(2015,plain,
% 4.06/2.90 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s19, c_n1)) | (~m_main_v_state2(s19, c_t2)) | node9(s19) | node8(s19) | node10(s19) | (~node14(s19, s20)) | m_main_v_state2(s20, c_c2)),
% 4.06/2.90 inference(modus_ponens,[status(thm)],[2014, 2013])).
% 4.06/2.90 tff(2016,plain,
% 4.06/2.90 ((~m_main_v_state1(s19, c_n1)) | (~m_main_v_state2(s19, c_t2)) | node9(s19) | node8(s19) | node10(s19) | m_main_v_state2(s20, c_c2)),
% 4.06/2.90 inference(unit_resolution,[status(thm)],[2015, 617, 2012])).
% 4.06/2.90 tff(2017,plain,
% 4.06/2.90 (m_main_v_state2(s20, c_c2)),
% 4.06/2.90 inference(unit_resolution,[status(thm)],[2016, 2001, 1997, 1961, 1954, 1950])).
% 4.06/2.90 tff(2018,plain,
% 4.06/2.90 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s20, c_t2)) | (~m_main_v_state2(s20, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s20, c_t2)) | (~m_main_v_state2(s20, c_c2)))),
% 4.06/2.90 inference(rewrite,[status(thm)],[])).
% 4.06/2.90 tff(2019,plain,
% 4.06/2.90 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s20, c_t2)) | (~m_main_v_state2(s20, c_c2)))),
% 4.06/2.90 inference(quant_inst,[status(thm)],[])).
% 4.06/2.90 tff(2020,plain,
% 4.06/2.90 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s20, c_t2)) | (~m_main_v_state2(s20, c_c2))),
% 4.06/2.90 inference(modus_ponens,[status(thm)],[2019, 2018])).
% 4.06/2.90 tff(2021,plain,
% 4.06/2.90 (~m_main_v_state2(s20, c_t2)),
% 4.06/2.90 inference(unit_resolution,[status(thm)],[2020, 260, 2017])).
% 4.06/2.90 tff(2022,plain,
% 4.06/2.90 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s20, c_t2) | (~node12(s20)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s20, c_t2) | (~node12(s20)))),
% 4.06/2.90 inference(rewrite,[status(thm)],[])).
% 4.06/2.90 tff(2023,plain,
% 4.06/2.90 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s20, c_t2) | (~node12(s20)))),
% 4.06/2.90 inference(quant_inst,[status(thm)],[])).
% 4.06/2.90 tff(2024,plain,
% 4.06/2.90 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s20, c_t2) | (~node12(s20))),
% 4.06/2.90 inference(modus_ponens,[status(thm)],[2023, 2022])).
% 4.06/2.90 tff(2025,plain,
% 4.06/2.90 (~node12(s20)),
% 4.06/2.90 inference(unit_resolution,[status(thm)],[2024, 633, 2021])).
% 4.06/2.90 tff(2026,plain,
% 4.06/2.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s19, s20)) | node7(s19, s20))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s19, s20)) | node7(s19, s20))),
% 4.06/2.90 inference(rewrite,[status(thm)],[])).
% 4.06/2.90 tff(2027,plain,
% 4.06/2.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s19, s20)) | node7(s19, s20))),
% 4.06/2.90 inference(quant_inst,[status(thm)],[])).
% 4.06/2.90 tff(2028,plain,
% 4.06/2.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s19, s20)) | node7(s19, s20)),
% 4.06/2.90 inference(modus_ponens,[status(thm)],[2027, 2026])).
% 4.06/2.90 tff(2029,plain,
% 4.06/2.90 (node7(s19, s20)),
% 4.06/2.90 inference(unit_resolution,[status(thm)],[2028, 206, 2008])).
% 4.06/2.90 tff(2030,plain,
% 4.06/2.90 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s19, c_n1)) | (~m_main_v_state2(s19, c_t2)) | (~node7(s19, s20)) | m_main_v_state1(s20, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s19, c_n1)) | (~m_main_v_state2(s19, c_t2)) | (~node7(s19, s20)) | m_main_v_state1(s20, c_t1))),
% 4.06/2.90 inference(rewrite,[status(thm)],[])).
% 4.06/2.90 tff(2031,plain,
% 4.06/2.90 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s19, c_n1)) | (~m_main_v_state2(s19, c_t2)) | (~node7(s19, s20)) | m_main_v_state1(s20, c_t1))),
% 4.06/2.90 inference(quant_inst,[status(thm)],[])).
% 4.06/2.90 tff(2032,plain,
% 4.06/2.90 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s19, c_n1)) | (~m_main_v_state2(s19, c_t2)) | (~node7(s19, s20)) | m_main_v_state1(s20, c_t1)),
% 4.06/2.90 inference(modus_ponens,[status(thm)],[2031, 2030])).
% 4.06/2.90 tff(2033,plain,
% 4.06/2.90 ((~m_main_v_state1(s19, c_n1)) | (~m_main_v_state2(s19, c_t2)) | m_main_v_state1(s20, c_t1)),
% 4.06/2.90 inference(unit_resolution,[status(thm)],[2032, 651, 2029])).
% 4.06/2.90 tff(2034,plain,
% 4.06/2.90 (m_main_v_state1(s20, c_t1)),
% 4.06/2.90 inference(unit_resolution,[status(thm)],[2033, 1961, 1997])).
% 4.06/2.90 tff(2035,plain,
% 4.06/2.90 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s20, c_n1)) | (~m_main_v_state1(s20, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s20, c_n1)) | (~m_main_v_state1(s20, c_t1)))),
% 4.06/2.90 inference(rewrite,[status(thm)],[])).
% 4.06/2.90 tff(2036,plain,
% 4.06/2.90 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s20, c_n1)) | (~m_main_v_state1(s20, c_t1)))),
% 4.06/2.90 inference(quant_inst,[status(thm)],[])).
% 4.06/2.90 tff(2037,plain,
% 4.06/2.90 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s20, c_n1)) | (~m_main_v_state1(s20, c_t1))),
% 4.06/2.90 inference(modus_ponens,[status(thm)],[2036, 2035])).
% 4.06/2.90 tff(2038,plain,
% 4.06/2.90 (~m_main_v_state1(s20, c_n1)),
% 4.06/2.90 inference(unit_resolution,[status(thm)],[2037, 10, 2034])).
% 4.06/2.90 tff(2039,plain,
% 4.06/2.90 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s20, c_n1) | (~node11(s20)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s20, c_n1) | (~node11(s20)))),
% 4.06/2.90 inference(rewrite,[status(thm)],[])).
% 4.06/2.90 tff(2040,plain,
% 4.06/2.90 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s20, c_n1) | (~node11(s20)))),
% 4.06/2.90 inference(quant_inst,[status(thm)],[])).
% 4.06/2.90 tff(2041,plain,
% 4.06/2.90 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s20, c_n1) | (~node11(s20))),
% 4.06/2.90 inference(modus_ponens,[status(thm)],[2040, 2039])).
% 4.06/2.90 tff(2042,plain,
% 4.06/2.90 (~node11(s20)),
% 4.06/2.90 inference(unit_resolution,[status(thm)],[2041, 238, 2038])).
% 4.06/2.90 tff(2043,plain,
% 4.06/2.90 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s20, c_t1)) | (~m_main_v_state1(s20, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s20, c_t1)) | (~m_main_v_state1(s20, c_c1)))),
% 4.06/2.90 inference(rewrite,[status(thm)],[])).
% 4.06/2.90 tff(2044,plain,
% 4.06/2.90 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s20, c_t1)) | (~m_main_v_state1(s20, c_c1)))),
% 4.06/2.90 inference(quant_inst,[status(thm)],[])).
% 4.06/2.90 tff(2045,plain,
% 4.06/2.90 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s20, c_t1)) | (~m_main_v_state1(s20, c_c1))),
% 4.06/2.90 inference(modus_ponens,[status(thm)],[2044, 2043])).
% 4.06/2.90 tff(2046,plain,
% 4.06/2.90 (~m_main_v_state1(s20, c_c1)),
% 4.06/2.90 inference(unit_resolution,[status(thm)],[2045, 539, 2034])).
% 4.06/2.90 tff(2047,plain,
% 4.06/2.90 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s20, c_c1) | (~node10(s20)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s20, c_c1) | (~node10(s20)))),
% 4.06/2.90 inference(rewrite,[status(thm)],[])).
% 4.06/2.90 tff(2048,plain,
% 4.06/2.90 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s20, c_c1) | (~node10(s20)))),
% 4.06/2.90 inference(quant_inst,[status(thm)],[])).
% 4.06/2.90 tff(2049,plain,
% 4.06/2.90 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s20, c_c1) | (~node10(s20))),
% 4.06/2.90 inference(modus_ponens,[status(thm)],[2048, 2047])).
% 4.06/2.90 tff(2050,plain,
% 4.06/2.90 (~node10(s20)),
% 4.06/2.90 inference(unit_resolution,[status(thm)],[2049, 675, 2046])).
% 4.06/2.90 tff(2051,plain,
% 4.06/2.90 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s20, c_n1) | (~node9(s20)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s20, c_n1) | (~node9(s20)))),
% 4.06/2.90 inference(rewrite,[status(thm)],[])).
% 4.06/2.90 tff(2052,plain,
% 4.06/2.90 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s20, c_n1) | (~node9(s20)))),
% 4.06/2.90 inference(quant_inst,[status(thm)],[])).
% 4.06/2.90 tff(2053,plain,
% 4.06/2.90 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s20, c_n1) | (~node9(s20))),
% 4.06/2.90 inference(modus_ponens,[status(thm)],[2052, 2051])).
% 4.06/2.90 tff(2054,plain,
% 4.06/2.90 (~node9(s20)),
% 4.06/2.90 inference(unit_resolution,[status(thm)],[2053, 686, 2038])).
% 4.06/2.90 tff(2055,plain,
% 4.06/2.90 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s20, c_n2)) | (~m_main_v_state2(s20, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s20, c_n2)) | (~m_main_v_state2(s20, c_c2)))),
% 4.06/2.90 inference(rewrite,[status(thm)],[])).
% 4.06/2.90 tff(2056,plain,
% 4.06/2.90 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s20, c_n2)) | (~m_main_v_state2(s20, c_c2)))),
% 4.06/2.90 inference(quant_inst,[status(thm)],[])).
% 4.06/2.90 tff(2057,plain,
% 4.06/2.90 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s20, c_n2)) | (~m_main_v_state2(s20, c_c2))),
% 4.06/2.90 inference(modus_ponens,[status(thm)],[2056, 2055])).
% 4.06/2.90 tff(2058,plain,
% 4.06/2.90 (~m_main_v_state2(s20, c_n2)),
% 4.06/2.90 inference(unit_resolution,[status(thm)],[2057, 697, 2017])).
% 4.06/2.90 tff(2059,plain,
% 4.06/2.90 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s20, c_n2) | (~node8(s20)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s20, c_n2) | (~node8(s20)))),
% 4.06/2.90 inference(rewrite,[status(thm)],[])).
% 4.06/2.90 tff(2060,plain,
% 4.06/2.90 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s20, c_n2) | (~node8(s20)))),
% 4.06/2.90 inference(quant_inst,[status(thm)],[])).
% 4.06/2.90 tff(2061,plain,
% 4.06/2.90 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s20, c_n2) | (~node8(s20))),
% 4.06/2.90 inference(modus_ponens,[status(thm)],[2060, 2059])).
% 4.06/2.90 tff(2062,plain,
% 4.06/2.90 (~node8(s20)),
% 4.06/2.90 inference(unit_resolution,[status(thm)],[2061, 271, 2058])).
% 4.06/2.90 tff(2063,plain,
% 4.06/2.90 (succ(s20, s21) <=> succ(s20, s21)),
% 4.06/2.90 inference(rewrite,[status(thm)],[])).
% 4.06/2.90 tff(2064,axiom,(succ(s20, s21)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound21')).
% 4.06/2.90 tff(2065,plain,
% 4.06/2.90 (succ(s20, s21)),
% 4.06/2.90 inference(modus_ponens,[status(thm)],[2064, 2063])).
% 4.06/2.90 tff(2066,plain,
% 4.06/2.90 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s20, s21)) | trans(s20, s21))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s20, s21)) | trans(s20, s21))),
% 4.06/2.90 inference(rewrite,[status(thm)],[])).
% 4.06/2.90 tff(2067,plain,
% 4.06/2.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s20, s21)) | trans(s20, s21))),
% 4.06/2.90 inference(quant_inst,[status(thm)],[])).
% 4.06/2.90 tff(2068,plain,
% 4.06/2.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s20, s21)) | trans(s20, s21)),
% 4.06/2.90 inference(modus_ponens,[status(thm)],[2067, 2066])).
% 4.06/2.90 tff(2069,plain,
% 4.06/2.90 (trans(s20, s21)),
% 4.06/2.90 inference(unit_resolution,[status(thm)],[2068, 2065, 32])).
% 4.06/2.90 tff(2070,plain,
% 4.06/2.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s20, s21)) | node14(s20, s21))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s20, s21)) | node14(s20, s21))),
% 4.06/2.90 inference(rewrite,[status(thm)],[])).
% 4.06/2.90 tff(2071,plain,
% 4.06/2.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s20, s21)) | node14(s20, s21))),
% 4.06/2.90 inference(quant_inst,[status(thm)],[])).
% 4.06/2.90 tff(2072,plain,
% 4.06/2.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s20, s21)) | node14(s20, s21)),
% 4.06/2.90 inference(modus_ponens,[status(thm)],[2071, 2070])).
% 4.06/2.90 tff(2073,plain,
% 4.06/2.90 (node14(s20, s21)),
% 4.06/2.90 inference(unit_resolution,[status(thm)],[2072, 46, 2069])).
% 4.06/2.90 tff(2074,plain,
% 4.06/2.90 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s21, c_n2) | node9(s20) | node8(s20) | node10(s20) | node11(s20) | node12(s20) | (~node14(s20, s21)) | (~m_main_v_state2(s20, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s21, c_n2) | node9(s20) | node8(s20) | node10(s20) | node11(s20) | node12(s20) | (~node14(s20, s21)) | (~m_main_v_state2(s20, c_c2)))),
% 4.06/2.90 inference(rewrite,[status(thm)],[])).
% 4.06/2.90 tff(2075,plain,
% 4.06/2.90 (((~m_main_v_state2(s20, c_c2)) | node9(s20) | node8(s20) | node10(s20) | node11(s20) | node12(s20) | (~node14(s20, s21)) | m_main_v_state2(s21, c_n2)) <=> (m_main_v_state2(s21, c_n2) | node9(s20) | node8(s20) | node10(s20) | node11(s20) | node12(s20) | (~node14(s20, s21)) | (~m_main_v_state2(s20, c_c2)))),
% 4.06/2.90 inference(rewrite,[status(thm)],[])).
% 4.06/2.90 tff(2076,plain,
% 4.06/2.90 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s20, c_c2)) | node9(s20) | node8(s20) | node10(s20) | node11(s20) | node12(s20) | (~node14(s20, s21)) | m_main_v_state2(s21, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s21, c_n2) | node9(s20) | node8(s20) | node10(s20) | node11(s20) | node12(s20) | (~node14(s20, s21)) | (~m_main_v_state2(s20, c_c2))))),
% 4.06/2.90 inference(monotonicity,[status(thm)],[2075])).
% 4.06/2.90 tff(2077,plain,
% 4.06/2.90 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s20, c_c2)) | node9(s20) | node8(s20) | node10(s20) | node11(s20) | node12(s20) | (~node14(s20, s21)) | m_main_v_state2(s21, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s21, c_n2) | node9(s20) | node8(s20) | node10(s20) | node11(s20) | node12(s20) | (~node14(s20, s21)) | (~m_main_v_state2(s20, c_c2)))),
% 4.06/2.90 inference(transitivity,[status(thm)],[2076, 2074])).
% 4.06/2.90 tff(2078,plain,
% 4.06/2.90 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s20, c_c2)) | node9(s20) | node8(s20) | node10(s20) | node11(s20) | node12(s20) | (~node14(s20, s21)) | m_main_v_state2(s21, c_n2))),
% 4.06/2.90 inference(quant_inst,[status(thm)],[])).
% 4.06/2.90 tff(2079,plain,
% 4.06/2.90 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s21, c_n2) | node9(s20) | node8(s20) | node10(s20) | node11(s20) | node12(s20) | (~node14(s20, s21)) | (~m_main_v_state2(s20, c_c2))),
% 4.06/2.90 inference(modus_ponens,[status(thm)],[2078, 2077])).
% 4.06/2.90 tff(2080,plain,
% 4.06/2.90 (m_main_v_state2(s21, c_n2) | node9(s20) | node8(s20) | node10(s20) | node11(s20) | node12(s20) | (~m_main_v_state2(s20, c_c2))),
% 4.06/2.90 inference(unit_resolution,[status(thm)],[2079, 726, 2073])).
% 4.06/2.90 tff(2081,plain,
% 4.06/2.90 (m_main_v_state2(s21, c_n2)),
% 4.06/2.90 inference(unit_resolution,[status(thm)],[2080, 2062, 2017, 2054, 2050, 2042, 2025])).
% 4.06/2.90 tff(2082,plain,
% 4.06/2.90 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s21, c_n2)) | (~m_main_v_state2(s21, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s21, c_n2)) | (~m_main_v_state2(s21, c_c2)))),
% 4.06/2.90 inference(rewrite,[status(thm)],[])).
% 4.06/2.90 tff(2083,plain,
% 4.06/2.90 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s21, c_n2)) | (~m_main_v_state2(s21, c_c2)))),
% 4.06/2.90 inference(quant_inst,[status(thm)],[])).
% 4.06/2.90 tff(2084,plain,
% 4.06/2.90 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s21, c_n2)) | (~m_main_v_state2(s21, c_c2))),
% 4.06/2.90 inference(modus_ponens,[status(thm)],[2083, 2082])).
% 4.06/2.90 tff(2085,plain,
% 4.06/2.90 (~m_main_v_state2(s21, c_c2)),
% 4.06/2.90 inference(unit_resolution,[status(thm)],[2084, 697, 2081])).
% 4.06/2.90 tff(2086,plain,
% 4.06/2.90 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s21, c_c2) | (~node3(s21)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s21, c_c2) | (~node3(s21)))),
% 4.06/2.90 inference(rewrite,[status(thm)],[])).
% 4.06/2.90 tff(2087,plain,
% 4.06/2.90 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s21, c_c2) | (~node3(s21)))),
% 4.06/2.90 inference(quant_inst,[status(thm)],[])).
% 4.06/2.90 tff(2088,plain,
% 4.06/2.90 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s21, c_c2) | (~node3(s21))),
% 4.06/2.90 inference(modus_ponens,[status(thm)],[2087, 2086])).
% 4.06/2.90 tff(2089,plain,
% 4.06/2.90 (~node3(s21)),
% 4.06/2.90 inference(unit_resolution,[status(thm)],[2088, 399, 2085])).
% 4.06/2.90 tff(2090,plain,
% 4.06/2.90 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s20, c_n1) | (~node1(s20)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s20, c_n1) | (~node1(s20)))),
% 4.06/2.90 inference(rewrite,[status(thm)],[])).
% 4.06/2.90 tff(2091,plain,
% 4.06/2.90 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s20, c_n1) | (~node1(s20)))),
% 4.06/2.90 inference(quant_inst,[status(thm)],[])).
% 4.06/2.90 tff(2092,plain,
% 4.06/2.90 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s20, c_n1) | (~node1(s20))),
% 4.06/2.90 inference(modus_ponens,[status(thm)],[2091, 2090])).
% 4.06/2.90 tff(2093,plain,
% 4.06/2.90 (~node1(s20)),
% 4.06/2.90 inference(unit_resolution,[status(thm)],[2092, 421, 2038])).
% 4.06/2.90 tff(2094,plain,
% 4.06/2.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s19, s20)) | node18(s19, s20))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s19, s20)) | node18(s19, s20))),
% 4.06/2.90 inference(rewrite,[status(thm)],[])).
% 4.06/2.90 tff(2095,plain,
% 4.06/2.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s19, s20)) | node18(s19, s20))),
% 4.06/2.90 inference(quant_inst,[status(thm)],[])).
% 4.06/2.90 tff(2096,plain,
% 4.06/2.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s19, s20)) | node18(s19, s20)),
% 4.06/2.90 inference(modus_ponens,[status(thm)],[2095, 2094])).
% 4.06/2.90 tff(2097,plain,
% 4.06/2.90 (node18(s19, s20)),
% 4.06/2.90 inference(unit_resolution,[status(thm)],[2096, 125, 2008])).
% 4.06/2.90 tff(2098,plain,
% 4.06/2.90 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s19, c_n1)) | (~m_main_v_state2(s19, c_t2)) | (~node18(s19, s20)) | m_main_v_turn(s20, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s19, c_n1)) | (~m_main_v_state2(s19, c_t2)) | (~node18(s19, s20)) | m_main_v_turn(s20, c_2))),
% 4.06/2.90 inference(rewrite,[status(thm)],[])).
% 4.06/2.90 tff(2099,plain,
% 4.06/2.90 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s19, c_n1)) | (~m_main_v_state2(s19, c_t2)) | (~node18(s19, s20)) | m_main_v_turn(s20, c_2))),
% 4.06/2.90 inference(quant_inst,[status(thm)],[])).
% 4.06/2.90 tff(2100,plain,
% 4.06/2.90 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s19, c_n1)) | (~m_main_v_state2(s19, c_t2)) | (~node18(s19, s20)) | m_main_v_turn(s20, c_2)),
% 4.06/2.90 inference(modus_ponens,[status(thm)],[2099, 2098])).
% 4.06/2.90 tff(2101,plain,
% 4.06/2.90 ((~m_main_v_state1(s19, c_n1)) | (~m_main_v_state2(s19, c_t2)) | m_main_v_turn(s20, c_2)),
% 4.06/2.90 inference(unit_resolution,[status(thm)],[2100, 760, 2097])).
% 4.06/2.90 tff(2102,plain,
% 4.06/2.90 (m_main_v_turn(s20, c_2)),
% 4.06/2.90 inference(unit_resolution,[status(thm)],[2101, 1961, 1997])).
% 4.06/2.90 tff(2103,plain,
% 4.06/2.90 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s20, c_1)) | (~m_main_v_turn(s20, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s20, c_1)) | (~m_main_v_turn(s20, c_2)))),
% 4.06/2.90 inference(rewrite,[status(thm)],[])).
% 4.06/2.90 tff(2104,plain,
% 4.06/2.90 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s20, c_1)) | (~m_main_v_turn(s20, c_2)))),
% 4.06/2.90 inference(quant_inst,[status(thm)],[])).
% 4.06/2.90 tff(2105,plain,
% 4.06/2.90 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s20, c_1)) | (~m_main_v_turn(s20, c_2))),
% 4.06/2.90 inference(modus_ponens,[status(thm)],[2104, 2103])).
% 4.06/2.90 tff(2106,plain,
% 4.06/2.90 (~m_main_v_turn(s20, c_1)),
% 4.06/2.90 inference(unit_resolution,[status(thm)],[2105, 156, 2102])).
% 4.06/2.90 tff(2107,plain,
% 4.06/2.90 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s20, c_1) | (~node5(s20)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s20, c_1) | (~node5(s20)))),
% 4.06/2.90 inference(rewrite,[status(thm)],[])).
% 4.06/2.90 tff(2108,plain,
% 4.06/2.90 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s20, c_1) | (~node5(s20)))),
% 4.06/2.90 inference(quant_inst,[status(thm)],[])).
% 4.06/2.90 tff(2109,plain,
% 4.06/2.90 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s20, c_1) | (~node5(s20))),
% 4.06/2.90 inference(modus_ponens,[status(thm)],[2108, 2107])).
% 4.06/2.90 tff(2110,plain,
% 4.06/2.90 (~node5(s20)),
% 4.06/2.90 inference(unit_resolution,[status(thm)],[2109, 776, 2106])).
% 4.06/2.90 tff(2111,plain,
% 4.06/2.90 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s20, c_n1) | (~node2(s20)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s20, c_n1) | (~node2(s20)))),
% 4.06/2.90 inference(rewrite,[status(thm)],[])).
% 4.06/2.90 tff(2112,plain,
% 4.06/2.90 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s20, c_n1) | (~node2(s20)))),
% 4.06/2.90 inference(quant_inst,[status(thm)],[])).
% 4.06/2.91 tff(2113,plain,
% 4.06/2.91 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s20, c_n1) | (~node2(s20))),
% 4.06/2.91 inference(modus_ponens,[status(thm)],[2112, 2111])).
% 4.06/2.91 tff(2114,plain,
% 4.06/2.91 (~node2(s20)),
% 4.06/2.91 inference(unit_resolution,[status(thm)],[2113, 787, 2038])).
% 4.06/2.91 tff(2115,plain,
% 4.06/2.91 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s20, c_n1) | (~node3(s20)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s20, c_n1) | (~node3(s20)))),
% 4.06/2.91 inference(rewrite,[status(thm)],[])).
% 4.06/2.91 tff(2116,plain,
% 4.06/2.91 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s20, c_n1) | (~node3(s20)))),
% 4.06/2.91 inference(quant_inst,[status(thm)],[])).
% 4.06/2.91 tff(2117,plain,
% 4.06/2.91 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s20, c_n1) | (~node3(s20))),
% 4.06/2.91 inference(modus_ponens,[status(thm)],[2116, 2115])).
% 4.06/2.91 tff(2118,plain,
% 4.06/2.91 (~node3(s20)),
% 4.06/2.91 inference(unit_resolution,[status(thm)],[2117, 798, 2038])).
% 4.06/2.91 tff(2119,plain,
% 4.06/2.91 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s20, c_n2) | (~node4(s20)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s20, c_n2) | (~node4(s20)))),
% 4.06/2.91 inference(rewrite,[status(thm)],[])).
% 4.06/2.91 tff(2120,plain,
% 4.06/2.91 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s20, c_n2) | (~node4(s20)))),
% 4.06/2.91 inference(quant_inst,[status(thm)],[])).
% 4.06/2.91 tff(2121,plain,
% 4.06/2.91 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s20, c_n2) | (~node4(s20))),
% 4.06/2.91 inference(modus_ponens,[status(thm)],[2120, 2119])).
% 4.06/2.91 tff(2122,plain,
% 4.06/2.91 (~node4(s20)),
% 4.06/2.91 inference(unit_resolution,[status(thm)],[2121, 388, 2058])).
% 4.06/2.91 tff(2123,plain,
% 4.06/2.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s20, s21)) | node7(s20, s21))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s20, s21)) | node7(s20, s21))),
% 4.06/2.91 inference(rewrite,[status(thm)],[])).
% 4.06/2.91 tff(2124,plain,
% 4.06/2.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s20, s21)) | node7(s20, s21))),
% 4.06/2.91 inference(quant_inst,[status(thm)],[])).
% 4.06/2.91 tff(2125,plain,
% 4.06/2.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s20, s21)) | node7(s20, s21)),
% 4.06/2.91 inference(modus_ponens,[status(thm)],[2124, 2123])).
% 4.06/2.91 tff(2126,plain,
% 4.06/2.91 (node7(s20, s21)),
% 4.06/2.91 inference(unit_resolution,[status(thm)],[2125, 206, 2069])).
% 4.06/2.91 tff(2127,plain,
% 4.06/2.91 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s20, c_c1) | node1(s20) | node2(s20) | node3(s20) | node4(s20) | node5(s20) | node6(s20, s21) | (~node7(s20, s21)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s20, c_c1) | node1(s20) | node2(s20) | node3(s20) | node4(s20) | node5(s20) | node6(s20, s21) | (~node7(s20, s21)))),
% 4.06/2.91 inference(rewrite,[status(thm)],[])).
% 4.06/2.91 tff(2128,plain,
% 4.06/2.91 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s20, c_c1) | node1(s20) | node2(s20) | node3(s20) | node4(s20) | node5(s20) | node6(s20, s21) | (~node7(s20, s21)))),
% 4.06/2.91 inference(quant_inst,[status(thm)],[])).
% 4.06/2.91 tff(2129,plain,
% 4.06/2.91 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s20, c_c1) | node1(s20) | node2(s20) | node3(s20) | node4(s20) | node5(s20) | node6(s20, s21) | (~node7(s20, s21))),
% 4.06/2.91 inference(modus_ponens,[status(thm)],[2128, 2127])).
% 4.06/2.91 tff(2130,plain,
% 4.06/2.91 (m_main_v_state1(s20, c_c1) | node1(s20) | node2(s20) | node3(s20) | node4(s20) | node5(s20) | node6(s20, s21)),
% 4.06/2.91 inference(unit_resolution,[status(thm)],[2129, 820, 2126])).
% 4.06/2.91 tff(2131,plain,
% 4.06/2.91 (node6(s20, s21)),
% 4.06/2.91 inference(unit_resolution,[status(thm)],[2130, 2122, 2046, 2118, 2114, 2110, 2093])).
% 4.06/2.91 tff(2132,plain,
% 4.06/2.91 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s20, c_n1) | (~m_main_v_state1(s21, c_n1)) | (~node6(s20, s21)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s20, c_n1) | (~m_main_v_state1(s21, c_n1)) | (~node6(s20, s21)))),
% 4.06/2.91 inference(rewrite,[status(thm)],[])).
% 4.06/2.91 tff(2133,plain,
% 4.06/2.91 (((~node6(s20, s21)) | m_main_v_state1(s20, c_n1) | (~m_main_v_state1(s21, c_n1))) <=> (m_main_v_state1(s20, c_n1) | (~m_main_v_state1(s21, c_n1)) | (~node6(s20, s21)))),
% 4.06/2.91 inference(rewrite,[status(thm)],[])).
% 4.06/2.91 tff(2134,plain,
% 4.06/2.91 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s20, s21)) | m_main_v_state1(s20, c_n1) | (~m_main_v_state1(s21, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s20, c_n1) | (~m_main_v_state1(s21, c_n1)) | (~node6(s20, s21))))),
% 4.06/2.91 inference(monotonicity,[status(thm)],[2133])).
% 4.06/2.91 tff(2135,plain,
% 4.06/2.91 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s20, s21)) | m_main_v_state1(s20, c_n1) | (~m_main_v_state1(s21, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s20, c_n1) | (~m_main_v_state1(s21, c_n1)) | (~node6(s20, s21)))),
% 4.06/2.91 inference(transitivity,[status(thm)],[2134, 2132])).
% 4.06/2.91 tff(2136,plain,
% 4.06/2.91 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s20, s21)) | m_main_v_state1(s20, c_n1) | (~m_main_v_state1(s21, c_n1)))),
% 4.06/2.91 inference(quant_inst,[status(thm)],[])).
% 4.06/2.91 tff(2137,plain,
% 4.06/2.91 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s20, c_n1) | (~m_main_v_state1(s21, c_n1)) | (~node6(s20, s21))),
% 4.06/2.91 inference(modus_ponens,[status(thm)],[2136, 2135])).
% 4.06/2.91 tff(2138,plain,
% 4.06/2.91 (~m_main_v_state1(s21, c_n1)),
% 4.06/2.91 inference(unit_resolution,[status(thm)],[2137, 835, 2038, 2131])).
% 4.06/2.91 tff(2139,plain,
% 4.06/2.91 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s21, c_n1) | (~node2(s21)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s21, c_n1) | (~node2(s21)))),
% 4.06/2.91 inference(rewrite,[status(thm)],[])).
% 4.06/2.91 tff(2140,plain,
% 4.06/2.91 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s21, c_n1) | (~node2(s21)))),
% 4.06/2.91 inference(quant_inst,[status(thm)],[])).
% 4.06/2.91 tff(2141,plain,
% 4.06/2.91 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s21, c_n1) | (~node2(s21))),
% 4.06/2.91 inference(modus_ponens,[status(thm)],[2140, 2139])).
% 4.06/2.91 tff(2142,plain,
% 4.06/2.91 (~node2(s21)),
% 4.06/2.91 inference(unit_resolution,[status(thm)],[2141, 787, 2138])).
% 4.06/2.91 tff(2143,plain,
% 4.06/2.91 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s20, c_t1)) | m_main_v_state1(s21, c_t1) | (~node6(s20, s21)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s20, c_t1)) | m_main_v_state1(s21, c_t1) | (~node6(s20, s21)))),
% 4.06/2.91 inference(rewrite,[status(thm)],[])).
% 4.06/2.91 tff(2144,plain,
% 4.06/2.91 (((~node6(s20, s21)) | (~m_main_v_state1(s20, c_t1)) | m_main_v_state1(s21, c_t1)) <=> ((~m_main_v_state1(s20, c_t1)) | m_main_v_state1(s21, c_t1) | (~node6(s20, s21)))),
% 4.06/2.91 inference(rewrite,[status(thm)],[])).
% 4.06/2.91 tff(2145,plain,
% 4.06/2.91 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s20, s21)) | (~m_main_v_state1(s20, c_t1)) | m_main_v_state1(s21, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s20, c_t1)) | m_main_v_state1(s21, c_t1) | (~node6(s20, s21))))),
% 4.06/2.91 inference(monotonicity,[status(thm)],[2144])).
% 4.06/2.91 tff(2146,plain,
% 4.06/2.91 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s20, s21)) | (~m_main_v_state1(s20, c_t1)) | m_main_v_state1(s21, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s20, c_t1)) | m_main_v_state1(s21, c_t1) | (~node6(s20, s21)))),
% 4.06/2.91 inference(transitivity,[status(thm)],[2145, 2143])).
% 4.06/2.91 tff(2147,plain,
% 4.06/2.91 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s20, s21)) | (~m_main_v_state1(s20, c_t1)) | m_main_v_state1(s21, c_t1))),
% 4.06/2.91 inference(quant_inst,[status(thm)],[])).
% 4.06/2.91 tff(2148,plain,
% 4.06/2.91 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s20, c_t1)) | m_main_v_state1(s21, c_t1) | (~node6(s20, s21))),
% 4.06/2.91 inference(modus_ponens,[status(thm)],[2147, 2146])).
% 4.06/2.91 tff(2149,plain,
% 4.06/2.91 (m_main_v_state1(s21, c_t1)),
% 4.06/2.91 inference(unit_resolution,[status(thm)],[2148, 856, 2034, 2131])).
% 4.06/2.91 tff(2150,plain,
% 4.06/2.91 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s21, c_n2)) | (~m_main_v_state2(s21, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s21, c_n2)) | (~m_main_v_state2(s21, c_t2)))),
% 4.06/2.91 inference(rewrite,[status(thm)],[])).
% 4.06/2.91 tff(2151,plain,
% 4.06/2.91 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s21, c_n2)) | (~m_main_v_state2(s21, c_t2)))),
% 4.06/2.91 inference(quant_inst,[status(thm)],[])).
% 4.06/2.91 tff(2152,plain,
% 4.06/2.91 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s21, c_n2)) | (~m_main_v_state2(s21, c_t2))),
% 4.06/2.91 inference(modus_ponens,[status(thm)],[2151, 2150])).
% 4.06/2.91 tff(2153,plain,
% 4.06/2.91 (~m_main_v_state2(s21, c_t2)),
% 4.06/2.91 inference(unit_resolution,[status(thm)],[2152, 77, 2081])).
% 4.06/2.91 tff(2154,plain,
% 4.06/2.91 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s21, c_t2) | (~node1(s21)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s21, c_t2) | (~node1(s21)))),
% 4.06/2.91 inference(rewrite,[status(thm)],[])).
% 4.06/2.91 tff(2155,plain,
% 4.06/2.91 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s21, c_t2) | (~node1(s21)))),
% 4.06/2.91 inference(quant_inst,[status(thm)],[])).
% 4.06/2.91 tff(2156,plain,
% 4.06/2.91 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s21, c_t2) | (~node1(s21))),
% 4.06/2.91 inference(modus_ponens,[status(thm)],[2155, 2154])).
% 4.06/2.91 tff(2157,plain,
% 4.06/2.91 (~node1(s21)),
% 4.06/2.91 inference(unit_resolution,[status(thm)],[2156, 195, 2153])).
% 4.06/2.91 tff(2158,plain,
% 4.06/2.91 (succ(s21, s22) <=> succ(s21, s22)),
% 4.06/2.91 inference(rewrite,[status(thm)],[])).
% 4.06/2.91 tff(2159,axiom,(succ(s21, s22)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound22')).
% 4.06/2.91 tff(2160,plain,
% 4.06/2.91 (succ(s21, s22)),
% 4.06/2.91 inference(modus_ponens,[status(thm)],[2159, 2158])).
% 4.06/2.91 tff(2161,plain,
% 4.06/2.91 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s21, s22)) | trans(s21, s22))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s21, s22)) | trans(s21, s22))),
% 4.06/2.91 inference(rewrite,[status(thm)],[])).
% 4.06/2.91 tff(2162,plain,
% 4.06/2.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s21, s22)) | trans(s21, s22))),
% 4.06/2.91 inference(quant_inst,[status(thm)],[])).
% 4.06/2.91 tff(2163,plain,
% 4.06/2.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s21, s22)) | trans(s21, s22)),
% 4.06/2.91 inference(modus_ponens,[status(thm)],[2162, 2161])).
% 4.06/2.91 tff(2164,plain,
% 4.06/2.91 (trans(s21, s22)),
% 4.06/2.91 inference(unit_resolution,[status(thm)],[2163, 2160, 32])).
% 4.06/2.91 tff(2165,plain,
% 4.06/2.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s21, s22)) | node7(s21, s22))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s21, s22)) | node7(s21, s22))),
% 4.06/2.91 inference(rewrite,[status(thm)],[])).
% 4.06/2.91 tff(2166,plain,
% 4.06/2.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s21, s22)) | node7(s21, s22))),
% 4.06/2.91 inference(quant_inst,[status(thm)],[])).
% 4.06/2.91 tff(2167,plain,
% 4.06/2.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s21, s22)) | node7(s21, s22)),
% 4.06/2.91 inference(modus_ponens,[status(thm)],[2166, 2165])).
% 4.06/2.91 tff(2168,plain,
% 4.06/2.91 (node7(s21, s22)),
% 4.06/2.91 inference(unit_resolution,[status(thm)],[2167, 206, 2164])).
% 4.06/2.91 tff(2169,plain,
% 4.06/2.91 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | m_main_v_state1(s22, c_c1) | node1(s21) | node2(s21) | node3(s21) | (~node7(s21, s22)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | m_main_v_state1(s22, c_c1) | node1(s21) | node2(s21) | node3(s21) | (~node7(s21, s22)))),
% 4.06/2.91 inference(rewrite,[status(thm)],[])).
% 4.06/2.91 tff(2170,plain,
% 4.06/2.91 (((~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | node1(s21) | node2(s21) | node3(s21) | (~node7(s21, s22)) | m_main_v_state1(s22, c_c1)) <=> ((~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | m_main_v_state1(s22, c_c1) | node1(s21) | node2(s21) | node3(s21) | (~node7(s21, s22)))),
% 4.06/2.91 inference(rewrite,[status(thm)],[])).
% 4.06/2.91 tff(2171,plain,
% 4.06/2.91 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | node1(s21) | node2(s21) | node3(s21) | (~node7(s21, s22)) | m_main_v_state1(s22, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | m_main_v_state1(s22, c_c1) | node1(s21) | node2(s21) | node3(s21) | (~node7(s21, s22))))),
% 4.06/2.91 inference(monotonicity,[status(thm)],[2170])).
% 4.06/2.91 tff(2172,plain,
% 4.06/2.91 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | node1(s21) | node2(s21) | node3(s21) | (~node7(s21, s22)) | m_main_v_state1(s22, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | m_main_v_state1(s22, c_c1) | node1(s21) | node2(s21) | node3(s21) | (~node7(s21, s22)))),
% 4.06/2.91 inference(transitivity,[status(thm)],[2171, 2169])).
% 4.06/2.91 tff(2173,plain,
% 4.06/2.91 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | node1(s21) | node2(s21) | node3(s21) | (~node7(s21, s22)) | m_main_v_state1(s22, c_c1))),
% 4.06/2.91 inference(quant_inst,[status(thm)],[])).
% 4.06/2.91 tff(2174,plain,
% 4.06/2.91 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | m_main_v_state1(s22, c_c1) | node1(s21) | node2(s21) | node3(s21) | (~node7(s21, s22))),
% 4.06/2.91 inference(modus_ponens,[status(thm)],[2173, 2172])).
% 4.06/2.91 tff(2175,plain,
% 4.06/2.91 ((~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | m_main_v_state1(s22, c_c1) | node1(s21) | node2(s21) | node3(s21)),
% 4.06/2.91 inference(unit_resolution,[status(thm)],[2174, 892, 2168])).
% 4.06/2.91 tff(2176,plain,
% 4.06/2.91 (m_main_v_state1(s22, c_c1)),
% 4.06/2.91 inference(unit_resolution,[status(thm)],[2175, 2157, 2081, 2149, 2142, 2089])).
% 4.06/2.91 tff(2177,plain,
% 4.06/2.91 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s22, c_t1)) | (~m_main_v_state1(s22, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s22, c_t1)) | (~m_main_v_state1(s22, c_c1)))),
% 4.06/2.91 inference(rewrite,[status(thm)],[])).
% 4.06/2.91 tff(2178,plain,
% 4.06/2.91 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s22, c_t1)) | (~m_main_v_state1(s22, c_c1)))),
% 4.06/2.91 inference(quant_inst,[status(thm)],[])).
% 4.06/2.91 tff(2179,plain,
% 4.06/2.91 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s22, c_t1)) | (~m_main_v_state1(s22, c_c1))),
% 4.06/2.91 inference(modus_ponens,[status(thm)],[2178, 2177])).
% 4.06/2.91 tff(2180,plain,
% 4.06/2.91 (~m_main_v_state1(s22, c_t1)),
% 4.06/2.91 inference(unit_resolution,[status(thm)],[2179, 539, 2176])).
% 4.06/2.91 tff(2181,plain,
% 4.06/2.91 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s22, c_t1) | (~node5(s22)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s22, c_t1) | (~node5(s22)))),
% 4.06/2.91 inference(rewrite,[status(thm)],[])).
% 4.06/2.91 tff(2182,plain,
% 4.06/2.91 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s22, c_t1) | (~node5(s22)))),
% 4.06/2.91 inference(quant_inst,[status(thm)],[])).
% 4.06/2.91 tff(2183,plain,
% 4.06/2.91 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s22, c_t1) | (~node5(s22))),
% 4.06/2.91 inference(modus_ponens,[status(thm)],[2182, 2181])).
% 4.06/2.91 tff(2184,plain,
% 4.06/2.91 (~node5(s22)),
% 4.06/2.91 inference(unit_resolution,[status(thm)],[2183, 550, 2180])).
% 4.06/2.91 tff(2185,plain,
% 4.06/2.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s21, s22)) | node14(s21, s22))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s21, s22)) | node14(s21, s22))),
% 4.06/2.91 inference(rewrite,[status(thm)],[])).
% 4.06/2.91 tff(2186,plain,
% 4.06/2.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s21, s22)) | node14(s21, s22))),
% 4.06/2.91 inference(quant_inst,[status(thm)],[])).
% 4.06/2.91 tff(2187,plain,
% 4.06/2.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s21, s22)) | node14(s21, s22)),
% 4.06/2.91 inference(modus_ponens,[status(thm)],[2186, 2185])).
% 4.06/2.91 tff(2188,plain,
% 4.06/2.91 (node14(s21, s22)),
% 4.06/2.91 inference(unit_resolution,[status(thm)],[2187, 46, 2164])).
% 4.06/2.91 tff(2189,plain,
% 4.06/2.91 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | (~node14(s21, s22)) | m_main_v_state2(s22, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | (~node14(s21, s22)) | m_main_v_state2(s22, c_t2))),
% 4.06/2.91 inference(rewrite,[status(thm)],[])).
% 4.06/2.91 tff(2190,plain,
% 4.06/2.91 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | (~node14(s21, s22)) | m_main_v_state2(s22, c_t2))),
% 4.06/2.91 inference(quant_inst,[status(thm)],[])).
% 4.06/2.91 tff(2191,plain,
% 4.06/2.91 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | (~node14(s21, s22)) | m_main_v_state2(s22, c_t2)),
% 4.06/2.91 inference(modus_ponens,[status(thm)],[2190, 2189])).
% 4.06/2.91 tff(2192,plain,
% 4.06/2.91 ((~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | m_main_v_state2(s22, c_t2)),
% 4.06/2.91 inference(unit_resolution,[status(thm)],[2191, 922, 2188])).
% 4.06/2.91 tff(2193,plain,
% 4.06/2.91 (m_main_v_state2(s22, c_t2)),
% 4.06/2.91 inference(unit_resolution,[status(thm)],[2192, 2149, 2081])).
% 4.06/2.91 tff(2194,plain,
% 4.06/2.91 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s22, c_n2)) | (~m_main_v_state2(s22, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s22, c_n2)) | (~m_main_v_state2(s22, c_t2)))),
% 4.06/2.91 inference(rewrite,[status(thm)],[])).
% 4.06/2.91 tff(2195,plain,
% 4.06/2.91 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s22, c_n2)) | (~m_main_v_state2(s22, c_t2)))),
% 4.06/2.91 inference(quant_inst,[status(thm)],[])).
% 4.06/2.91 tff(2196,plain,
% 4.06/2.91 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s22, c_n2)) | (~m_main_v_state2(s22, c_t2))),
% 4.06/2.91 inference(modus_ponens,[status(thm)],[2195, 2194])).
% 4.06/2.91 tff(2197,plain,
% 4.06/2.91 (~m_main_v_state2(s22, c_n2)),
% 4.06/2.91 inference(unit_resolution,[status(thm)],[2196, 77, 2193])).
% 4.06/2.91 tff(2198,plain,
% 4.06/2.91 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s22, c_n2) | (~node4(s22)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s22, c_n2) | (~node4(s22)))),
% 4.06/2.91 inference(rewrite,[status(thm)],[])).
% 4.06/2.91 tff(2199,plain,
% 4.06/2.91 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s22, c_n2) | (~node4(s22)))),
% 4.06/2.91 inference(quant_inst,[status(thm)],[])).
% 4.06/2.91 tff(2200,plain,
% 4.06/2.91 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s22, c_n2) | (~node4(s22))),
% 4.06/2.91 inference(modus_ponens,[status(thm)],[2199, 2198])).
% 4.06/2.91 tff(2201,plain,
% 4.06/2.91 (~node4(s22)),
% 4.06/2.91 inference(unit_resolution,[status(thm)],[2200, 388, 2197])).
% 4.06/2.91 tff(2202,plain,
% 4.06/2.91 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s22, c_t2)) | (~m_main_v_state2(s22, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s22, c_t2)) | (~m_main_v_state2(s22, c_c2)))),
% 4.06/2.91 inference(rewrite,[status(thm)],[])).
% 4.06/2.91 tff(2203,plain,
% 4.06/2.91 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s22, c_t2)) | (~m_main_v_state2(s22, c_c2)))),
% 4.06/2.91 inference(quant_inst,[status(thm)],[])).
% 4.06/2.91 tff(2204,plain,
% 4.06/2.91 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s22, c_t2)) | (~m_main_v_state2(s22, c_c2))),
% 4.06/2.91 inference(modus_ponens,[status(thm)],[2203, 2202])).
% 4.06/2.91 tff(2205,plain,
% 4.06/2.91 (~m_main_v_state2(s22, c_c2)),
% 4.06/2.91 inference(unit_resolution,[status(thm)],[2204, 260, 2193])).
% 4.06/2.91 tff(2206,plain,
% 4.06/2.91 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s22, c_c2) | (~node3(s22)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s22, c_c2) | (~node3(s22)))),
% 4.06/2.91 inference(rewrite,[status(thm)],[])).
% 4.06/2.91 tff(2207,plain,
% 4.06/2.91 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s22, c_c2) | (~node3(s22)))),
% 4.06/2.91 inference(quant_inst,[status(thm)],[])).
% 4.06/2.91 tff(2208,plain,
% 4.06/2.91 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s22, c_c2) | (~node3(s22))),
% 4.06/2.91 inference(modus_ponens,[status(thm)],[2207, 2206])).
% 4.06/2.91 tff(2209,plain,
% 4.06/2.91 (~node3(s22)),
% 4.06/2.91 inference(unit_resolution,[status(thm)],[2208, 399, 2205])).
% 4.06/2.91 tff(2210,plain,
% 4.06/2.91 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s22, c_n2) | (~node2(s22)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s22, c_n2) | (~node2(s22)))),
% 4.06/2.91 inference(rewrite,[status(thm)],[])).
% 4.06/2.91 tff(2211,plain,
% 4.06/2.91 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s22, c_n2) | (~node2(s22)))),
% 4.06/2.91 inference(quant_inst,[status(thm)],[])).
% 4.06/2.91 tff(2212,plain,
% 4.06/2.91 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s22, c_n2) | (~node2(s22))),
% 4.06/2.91 inference(modus_ponens,[status(thm)],[2211, 2210])).
% 4.06/2.91 tff(2213,plain,
% 4.06/2.91 (~node2(s22)),
% 4.06/2.91 inference(unit_resolution,[status(thm)],[2212, 410, 2197])).
% 4.06/2.91 tff(2214,plain,
% 4.06/2.91 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s22, c_n1)) | (~m_main_v_state1(s22, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s22, c_n1)) | (~m_main_v_state1(s22, c_c1)))),
% 4.06/2.91 inference(rewrite,[status(thm)],[])).
% 4.06/2.91 tff(2215,plain,
% 4.06/2.91 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s22, c_n1)) | (~m_main_v_state1(s22, c_c1)))),
% 4.06/2.91 inference(quant_inst,[status(thm)],[])).
% 4.06/2.91 tff(2216,plain,
% 4.06/2.91 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s22, c_n1)) | (~m_main_v_state1(s22, c_c1))),
% 4.06/2.91 inference(modus_ponens,[status(thm)],[2215, 2214])).
% 4.06/2.91 tff(2217,plain,
% 4.06/2.91 (~m_main_v_state1(s22, c_n1)),
% 4.06/2.91 inference(unit_resolution,[status(thm)],[2216, 454, 2176])).
% 4.06/2.91 tff(2218,plain,
% 4.06/2.91 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s22, c_n1) | (~node1(s22)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s22, c_n1) | (~node1(s22)))),
% 4.06/2.91 inference(rewrite,[status(thm)],[])).
% 4.06/2.91 tff(2219,plain,
% 4.06/2.91 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s22, c_n1) | (~node1(s22)))),
% 4.06/2.91 inference(quant_inst,[status(thm)],[])).
% 4.06/2.91 tff(2220,plain,
% 4.06/2.91 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s22, c_n1) | (~node1(s22))),
% 4.06/2.91 inference(modus_ponens,[status(thm)],[2219, 2218])).
% 4.06/2.91 tff(2221,plain,
% 4.06/2.91 (~node1(s22)),
% 4.06/2.91 inference(unit_resolution,[status(thm)],[2220, 421, 2217])).
% 4.06/2.91 tff(2222,plain,
% 4.06/2.91 (succ(s22, s23) <=> succ(s22, s23)),
% 4.06/2.91 inference(rewrite,[status(thm)],[])).
% 4.06/2.91 tff(2223,axiom,(succ(s22, s23)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound23')).
% 4.06/2.91 tff(2224,plain,
% 4.06/2.91 (succ(s22, s23)),
% 4.06/2.91 inference(modus_ponens,[status(thm)],[2223, 2222])).
% 4.06/2.91 tff(2225,plain,
% 4.06/2.91 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s22, s23)) | trans(s22, s23))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s22, s23)) | trans(s22, s23))),
% 4.06/2.91 inference(rewrite,[status(thm)],[])).
% 4.06/2.91 tff(2226,plain,
% 4.06/2.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s22, s23)) | trans(s22, s23))),
% 4.06/2.91 inference(quant_inst,[status(thm)],[])).
% 4.06/2.91 tff(2227,plain,
% 4.06/2.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s22, s23)) | trans(s22, s23)),
% 4.06/2.91 inference(modus_ponens,[status(thm)],[2226, 2225])).
% 4.06/2.91 tff(2228,plain,
% 4.06/2.91 (trans(s22, s23)),
% 4.06/2.91 inference(unit_resolution,[status(thm)],[2227, 2224, 32])).
% 4.06/2.91 tff(2229,plain,
% 4.06/2.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s22, s23)) | node7(s22, s23))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s22, s23)) | node7(s22, s23))),
% 4.06/2.91 inference(rewrite,[status(thm)],[])).
% 4.06/2.91 tff(2230,plain,
% 4.06/2.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s22, s23)) | node7(s22, s23))),
% 4.06/2.91 inference(quant_inst,[status(thm)],[])).
% 4.06/2.91 tff(2231,plain,
% 4.06/2.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s22, s23)) | node7(s22, s23)),
% 4.06/2.91 inference(modus_ponens,[status(thm)],[2230, 2229])).
% 4.06/2.91 tff(2232,plain,
% 4.06/2.91 (node7(s22, s23)),
% 4.06/2.91 inference(unit_resolution,[status(thm)],[2231, 206, 2228])).
% 4.06/2.91 tff(2233,plain,
% 4.06/2.91 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s23, c_n1) | (~m_main_v_state1(s22, c_c1)) | node1(s22) | node2(s22) | node3(s22) | node4(s22) | node5(s22) | (~node7(s22, s23)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s23, c_n1) | (~m_main_v_state1(s22, c_c1)) | node1(s22) | node2(s22) | node3(s22) | node4(s22) | node5(s22) | (~node7(s22, s23)))),
% 4.06/2.91 inference(rewrite,[status(thm)],[])).
% 4.06/2.91 tff(2234,plain,
% 4.06/2.91 (((~m_main_v_state1(s22, c_c1)) | node1(s22) | node2(s22) | node3(s22) | node4(s22) | node5(s22) | (~node7(s22, s23)) | m_main_v_state1(s23, c_n1)) <=> (m_main_v_state1(s23, c_n1) | (~m_main_v_state1(s22, c_c1)) | node1(s22) | node2(s22) | node3(s22) | node4(s22) | node5(s22) | (~node7(s22, s23)))),
% 4.06/2.91 inference(rewrite,[status(thm)],[])).
% 4.06/2.91 tff(2235,plain,
% 4.06/2.91 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s22, c_c1)) | node1(s22) | node2(s22) | node3(s22) | node4(s22) | node5(s22) | (~node7(s22, s23)) | m_main_v_state1(s23, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s23, c_n1) | (~m_main_v_state1(s22, c_c1)) | node1(s22) | node2(s22) | node3(s22) | node4(s22) | node5(s22) | (~node7(s22, s23))))),
% 4.06/2.92 inference(monotonicity,[status(thm)],[2234])).
% 4.06/2.92 tff(2236,plain,
% 4.06/2.92 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s22, c_c1)) | node1(s22) | node2(s22) | node3(s22) | node4(s22) | node5(s22) | (~node7(s22, s23)) | m_main_v_state1(s23, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s23, c_n1) | (~m_main_v_state1(s22, c_c1)) | node1(s22) | node2(s22) | node3(s22) | node4(s22) | node5(s22) | (~node7(s22, s23)))),
% 4.06/2.92 inference(transitivity,[status(thm)],[2235, 2233])).
% 4.06/2.92 tff(2237,plain,
% 4.06/2.92 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s22, c_c1)) | node1(s22) | node2(s22) | node3(s22) | node4(s22) | node5(s22) | (~node7(s22, s23)) | m_main_v_state1(s23, c_n1))),
% 4.06/2.92 inference(quant_inst,[status(thm)],[])).
% 4.06/2.92 tff(2238,plain,
% 4.06/2.92 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s23, c_n1) | (~m_main_v_state1(s22, c_c1)) | node1(s22) | node2(s22) | node3(s22) | node4(s22) | node5(s22) | (~node7(s22, s23))),
% 4.06/2.92 inference(modus_ponens,[status(thm)],[2237, 2236])).
% 4.06/2.92 tff(2239,plain,
% 4.06/2.92 (m_main_v_state1(s23, c_n1) | (~m_main_v_state1(s22, c_c1)) | node1(s22) | node2(s22) | node3(s22) | node4(s22) | node5(s22)),
% 4.06/2.92 inference(unit_resolution,[status(thm)],[2238, 584, 2232])).
% 4.06/2.92 tff(2240,plain,
% 4.06/2.92 (m_main_v_state1(s23, c_n1)),
% 4.06/2.92 inference(unit_resolution,[status(thm)],[2239, 2221, 2176, 2213, 2209, 2201, 2184])).
% 4.06/2.92 tff(2241,plain,
% 4.06/2.92 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s21, c_t2) | (~node15(s21)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s21, c_t2) | (~node15(s21)))),
% 4.06/2.92 inference(rewrite,[status(thm)],[])).
% 4.06/2.92 tff(2242,plain,
% 4.06/2.92 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s21, c_t2) | (~node15(s21)))),
% 4.06/2.92 inference(quant_inst,[status(thm)],[])).
% 4.06/2.92 tff(2243,plain,
% 4.06/2.92 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s21, c_t2) | (~node15(s21))),
% 4.06/2.92 inference(modus_ponens,[status(thm)],[2242, 2241])).
% 4.06/2.92 tff(2244,plain,
% 4.06/2.92 (~node15(s21)),
% 4.06/2.92 inference(unit_resolution,[status(thm)],[2243, 103, 2153])).
% 4.06/2.92 tff(2245,plain,
% 4.06/2.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s21, s22)) | node18(s21, s22))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s21, s22)) | node18(s21, s22))),
% 4.06/2.92 inference(rewrite,[status(thm)],[])).
% 4.06/2.92 tff(2246,plain,
% 4.06/2.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s21, s22)) | node18(s21, s22))),
% 4.06/2.92 inference(quant_inst,[status(thm)],[])).
% 4.06/2.92 tff(2247,plain,
% 4.06/2.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s21, s22)) | node18(s21, s22)),
% 4.06/2.92 inference(modus_ponens,[status(thm)],[2246, 2245])).
% 4.06/2.92 tff(2248,plain,
% 4.06/2.92 (node18(s21, s22)),
% 4.06/2.92 inference(unit_resolution,[status(thm)],[2247, 125, 2164])).
% 4.06/2.92 tff(2249,plain,
% 4.06/2.92 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s21) | (~node18(s21, s22)) | (~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | m_main_v_turn(s22, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s21) | (~node18(s21, s22)) | (~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | m_main_v_turn(s22, c_1))),
% 4.06/2.92 inference(rewrite,[status(thm)],[])).
% 4.06/2.92 tff(2250,plain,
% 4.06/2.92 (((~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | node15(s21) | (~node18(s21, s22)) | m_main_v_turn(s22, c_1)) <=> (node15(s21) | (~node18(s21, s22)) | (~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | m_main_v_turn(s22, c_1))),
% 4.06/2.92 inference(rewrite,[status(thm)],[])).
% 4.06/2.92 tff(2251,plain,
% 4.06/2.92 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | node15(s21) | (~node18(s21, s22)) | m_main_v_turn(s22, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s21) | (~node18(s21, s22)) | (~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | m_main_v_turn(s22, c_1)))),
% 4.06/2.92 inference(monotonicity,[status(thm)],[2250])).
% 4.06/2.92 tff(2252,plain,
% 4.06/2.92 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | node15(s21) | (~node18(s21, s22)) | m_main_v_turn(s22, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s21) | (~node18(s21, s22)) | (~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | m_main_v_turn(s22, c_1))),
% 4.06/2.92 inference(transitivity,[status(thm)],[2251, 2249])).
% 4.06/2.92 tff(2253,plain,
% 4.06/2.92 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | node15(s21) | (~node18(s21, s22)) | m_main_v_turn(s22, c_1))),
% 4.06/2.92 inference(quant_inst,[status(thm)],[])).
% 4.06/2.92 tff(2254,plain,
% 4.06/2.92 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s21) | (~node18(s21, s22)) | (~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | m_main_v_turn(s22, c_1)),
% 4.06/2.92 inference(modus_ponens,[status(thm)],[2253, 2252])).
% 4.06/2.92 tff(2255,plain,
% 4.06/2.92 (node15(s21) | (~m_main_v_state1(s21, c_t1)) | (~m_main_v_state2(s21, c_n2)) | m_main_v_turn(s22, c_1)),
% 4.06/2.92 inference(unit_resolution,[status(thm)],[2254, 992, 2248])).
% 4.06/2.92 tff(2256,plain,
% 4.06/2.92 (m_main_v_turn(s22, c_1)),
% 4.06/2.92 inference(unit_resolution,[status(thm)],[2255, 2244, 2081, 2149])).
% 4.06/2.92 tff(2257,plain,
% 4.06/2.92 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s22, c_1)) | (~m_main_v_turn(s22, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s22, c_1)) | (~m_main_v_turn(s22, c_2)))),
% 4.06/2.92 inference(rewrite,[status(thm)],[])).
% 4.06/2.92 tff(2258,plain,
% 4.06/2.92 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s22, c_1)) | (~m_main_v_turn(s22, c_2)))),
% 4.06/2.92 inference(quant_inst,[status(thm)],[])).
% 4.06/2.92 tff(2259,plain,
% 4.06/2.92 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s22, c_1)) | (~m_main_v_turn(s22, c_2))),
% 4.06/2.92 inference(modus_ponens,[status(thm)],[2258, 2257])).
% 4.06/2.92 tff(2260,plain,
% 4.06/2.92 (~m_main_v_turn(s22, c_2)),
% 4.06/2.92 inference(unit_resolution,[status(thm)],[2259, 156, 2256])).
% 4.06/2.92 tff(2261,plain,
% 4.06/2.92 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s22, c_2) | (~node12(s22)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s22, c_2) | (~node12(s22)))),
% 4.06/2.92 inference(rewrite,[status(thm)],[])).
% 4.06/2.92 tff(2262,plain,
% 4.06/2.92 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s22, c_2) | (~node12(s22)))),
% 4.06/2.92 inference(quant_inst,[status(thm)],[])).
% 4.06/2.92 tff(2263,plain,
% 4.06/2.92 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s22, c_2) | (~node12(s22))),
% 4.06/2.92 inference(modus_ponens,[status(thm)],[2262, 2261])).
% 4.06/2.92 tff(2264,plain,
% 4.06/2.92 (~node12(s22)),
% 4.06/2.92 inference(unit_resolution,[status(thm)],[2263, 184, 2260])).
% 4.06/2.92 tff(2265,plain,
% 4.06/2.92 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s22, c_n2) | (~node8(s22)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s22, c_n2) | (~node8(s22)))),
% 4.06/2.92 inference(rewrite,[status(thm)],[])).
% 4.06/2.92 tff(2266,plain,
% 4.06/2.92 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s22, c_n2) | (~node8(s22)))),
% 4.06/2.92 inference(quant_inst,[status(thm)],[])).
% 4.06/2.92 tff(2267,plain,
% 4.06/2.92 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s22, c_n2) | (~node8(s22))),
% 4.06/2.92 inference(modus_ponens,[status(thm)],[2266, 2265])).
% 4.06/2.92 tff(2268,plain,
% 4.06/2.92 (~node8(s22)),
% 4.06/2.92 inference(unit_resolution,[status(thm)],[2267, 271, 2197])).
% 4.06/2.92 tff(2269,plain,
% 4.06/2.92 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s22, c_n2) | (~node9(s22)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s22, c_n2) | (~node9(s22)))),
% 4.06/2.92 inference(rewrite,[status(thm)],[])).
% 4.06/2.92 tff(2270,plain,
% 4.06/2.92 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s22, c_n2) | (~node9(s22)))),
% 4.06/2.92 inference(quant_inst,[status(thm)],[])).
% 4.06/2.92 tff(2271,plain,
% 4.06/2.92 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s22, c_n2) | (~node9(s22))),
% 4.06/2.92 inference(modus_ponens,[status(thm)],[2270, 2269])).
% 4.06/2.92 tff(2272,plain,
% 4.06/2.92 (~node9(s22)),
% 4.06/2.92 inference(unit_resolution,[status(thm)],[2271, 88, 2197])).
% 4.06/2.92 tff(2273,plain,
% 4.06/2.92 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s22, c_n2) | (~node10(s22)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s22, c_n2) | (~node10(s22)))),
% 4.06/2.92 inference(rewrite,[status(thm)],[])).
% 4.06/2.92 tff(2274,plain,
% 4.06/2.92 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s22, c_n2) | (~node10(s22)))),
% 4.06/2.92 inference(quant_inst,[status(thm)],[])).
% 4.06/2.92 tff(2275,plain,
% 4.06/2.92 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s22, c_n2) | (~node10(s22))),
% 4.06/2.92 inference(modus_ponens,[status(thm)],[2274, 2273])).
% 4.06/2.92 tff(2276,plain,
% 4.06/2.92 (~node10(s22)),
% 4.06/2.92 inference(unit_resolution,[status(thm)],[2275, 249, 2197])).
% 4.06/2.92 tff(2277,plain,
% 4.06/2.92 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s22, c_n1) | (~node11(s22)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s22, c_n1) | (~node11(s22)))),
% 4.06/2.92 inference(rewrite,[status(thm)],[])).
% 4.06/2.92 tff(2278,plain,
% 4.06/2.92 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s22, c_n1) | (~node11(s22)))),
% 4.06/2.92 inference(quant_inst,[status(thm)],[])).
% 4.06/2.92 tff(2279,plain,
% 4.06/2.92 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s22, c_n1) | (~node11(s22))),
% 4.06/2.92 inference(modus_ponens,[status(thm)],[2278, 2277])).
% 4.06/2.92 tff(2280,plain,
% 4.06/2.92 (~node11(s22)),
% 4.06/2.92 inference(unit_resolution,[status(thm)],[2279, 238, 2217])).
% 4.06/2.92 tff(2281,plain,
% 4.06/2.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s22, s23)) | node14(s22, s23))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s22, s23)) | node14(s22, s23))),
% 4.06/2.92 inference(rewrite,[status(thm)],[])).
% 4.06/2.92 tff(2282,plain,
% 4.06/2.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s22, s23)) | node14(s22, s23))),
% 4.06/2.92 inference(quant_inst,[status(thm)],[])).
% 4.06/2.92 tff(2283,plain,
% 4.06/2.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s22, s23)) | node14(s22, s23)),
% 4.06/2.92 inference(modus_ponens,[status(thm)],[2282, 2281])).
% 4.06/2.92 tff(2284,plain,
% 4.06/2.92 (node14(s22, s23)),
% 4.06/2.92 inference(unit_resolution,[status(thm)],[2283, 46, 2228])).
% 4.06/2.92 tff(2285,plain,
% 4.06/2.92 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s22, c_c2) | node9(s22) | node8(s22) | node10(s22) | node11(s22) | node12(s22) | node13(s22, s23) | (~node14(s22, s23)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s22, c_c2) | node9(s22) | node8(s22) | node10(s22) | node11(s22) | node12(s22) | node13(s22, s23) | (~node14(s22, s23)))),
% 4.06/2.92 inference(rewrite,[status(thm)],[])).
% 4.06/2.92 tff(2286,plain,
% 4.06/2.92 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s22, c_c2) | node9(s22) | node8(s22) | node10(s22) | node11(s22) | node12(s22) | node13(s22, s23) | (~node14(s22, s23)))),
% 4.06/2.92 inference(quant_inst,[status(thm)],[])).
% 4.06/2.92 tff(2287,plain,
% 4.06/2.92 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s22, c_c2) | node9(s22) | node8(s22) | node10(s22) | node11(s22) | node12(s22) | node13(s22, s23) | (~node14(s22, s23))),
% 4.06/2.92 inference(modus_ponens,[status(thm)],[2286, 2285])).
% 4.06/2.92 tff(2288,plain,
% 4.06/2.92 (m_main_v_state2(s22, c_c2) | node9(s22) | node8(s22) | node10(s22) | node11(s22) | node12(s22) | node13(s22, s23)),
% 4.06/2.92 inference(unit_resolution,[status(thm)],[2287, 296, 2284])).
% 4.06/2.92 tff(2289,plain,
% 4.06/2.92 (node13(s22, s23)),
% 4.06/2.92 inference(unit_resolution,[status(thm)],[2288, 2280, 2205, 2276, 2272, 2268, 2264])).
% 4.06/2.92 tff(2290,plain,
% 4.06/2.92 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s22, c_t2)) | m_main_v_state2(s23, c_t2) | (~node13(s22, s23)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s22, c_t2)) | m_main_v_state2(s23, c_t2) | (~node13(s22, s23)))),
% 4.06/2.92 inference(rewrite,[status(thm)],[])).
% 4.06/2.92 tff(2291,plain,
% 4.06/2.92 (((~node13(s22, s23)) | (~m_main_v_state2(s22, c_t2)) | m_main_v_state2(s23, c_t2)) <=> ((~m_main_v_state2(s22, c_t2)) | m_main_v_state2(s23, c_t2) | (~node13(s22, s23)))),
% 4.06/2.92 inference(rewrite,[status(thm)],[])).
% 4.06/2.92 tff(2292,plain,
% 4.06/2.92 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s22, s23)) | (~m_main_v_state2(s22, c_t2)) | m_main_v_state2(s23, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s22, c_t2)) | m_main_v_state2(s23, c_t2) | (~node13(s22, s23))))),
% 4.06/2.92 inference(monotonicity,[status(thm)],[2291])).
% 4.06/2.92 tff(2293,plain,
% 4.06/2.92 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s22, s23)) | (~m_main_v_state2(s22, c_t2)) | m_main_v_state2(s23, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s22, c_t2)) | m_main_v_state2(s23, c_t2) | (~node13(s22, s23)))),
% 4.06/2.92 inference(transitivity,[status(thm)],[2292, 2290])).
% 4.06/2.92 tff(2294,plain,
% 4.06/2.92 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s22, s23)) | (~m_main_v_state2(s22, c_t2)) | m_main_v_state2(s23, c_t2))),
% 4.06/2.92 inference(quant_inst,[status(thm)],[])).
% 4.06/2.92 tff(2295,plain,
% 4.06/2.92 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s22, c_t2)) | m_main_v_state2(s23, c_t2) | (~node13(s22, s23))),
% 4.06/2.92 inference(modus_ponens,[status(thm)],[2294, 2293])).
% 4.06/2.92 tff(2296,plain,
% 4.06/2.92 (m_main_v_state2(s23, c_t2)),
% 4.06/2.92 inference(unit_resolution,[status(thm)],[2295, 518, 2193, 2289])).
% 4.06/2.92 tff(2297,plain,
% 4.06/2.92 (succ(s23, s24) <=> succ(s23, s24)),
% 4.06/2.92 inference(rewrite,[status(thm)],[])).
% 4.06/2.92 tff(2298,axiom,(succ(s23, s24)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound24')).
% 4.06/2.92 tff(2299,plain,
% 4.06/2.92 (succ(s23, s24)),
% 4.06/2.92 inference(modus_ponens,[status(thm)],[2298, 2297])).
% 4.06/2.92 tff(2300,plain,
% 4.06/2.92 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s23, s24)) | trans(s23, s24))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s23, s24)) | trans(s23, s24))),
% 4.06/2.92 inference(rewrite,[status(thm)],[])).
% 4.06/2.92 tff(2301,plain,
% 4.06/2.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s23, s24)) | trans(s23, s24))),
% 4.06/2.92 inference(quant_inst,[status(thm)],[])).
% 4.06/2.92 tff(2302,plain,
% 4.06/2.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s23, s24)) | trans(s23, s24)),
% 4.06/2.92 inference(modus_ponens,[status(thm)],[2301, 2300])).
% 4.06/2.92 tff(2303,plain,
% 4.06/2.92 (trans(s23, s24)),
% 4.06/2.92 inference(unit_resolution,[status(thm)],[2302, 2299, 32])).
% 4.06/2.92 tff(2304,plain,
% 4.06/2.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s23, s24)) | node7(s23, s24))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s23, s24)) | node7(s23, s24))),
% 4.06/2.92 inference(rewrite,[status(thm)],[])).
% 4.06/2.92 tff(2305,plain,
% 4.06/2.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s23, s24)) | node7(s23, s24))),
% 4.06/2.92 inference(quant_inst,[status(thm)],[])).
% 4.06/2.92 tff(2306,plain,
% 4.06/2.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s23, s24)) | node7(s23, s24)),
% 4.06/2.92 inference(modus_ponens,[status(thm)],[2305, 2304])).
% 4.06/2.92 tff(2307,plain,
% 4.06/2.92 (node7(s23, s24)),
% 4.06/2.92 inference(unit_resolution,[status(thm)],[2306, 206, 2303])).
% 4.06/2.92 tff(2308,plain,
% 4.06/2.92 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s23, c_n1)) | (~m_main_v_state2(s23, c_t2)) | (~node7(s23, s24)) | m_main_v_state1(s24, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s23, c_n1)) | (~m_main_v_state2(s23, c_t2)) | (~node7(s23, s24)) | m_main_v_state1(s24, c_t1))),
% 4.06/2.92 inference(rewrite,[status(thm)],[])).
% 4.06/2.92 tff(2309,plain,
% 4.06/2.92 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s23, c_n1)) | (~m_main_v_state2(s23, c_t2)) | (~node7(s23, s24)) | m_main_v_state1(s24, c_t1))),
% 4.06/2.92 inference(quant_inst,[status(thm)],[])).
% 4.06/2.92 tff(2310,plain,
% 4.06/2.92 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s23, c_n1)) | (~m_main_v_state2(s23, c_t2)) | (~node7(s23, s24)) | m_main_v_state1(s24, c_t1)),
% 4.06/2.92 inference(modus_ponens,[status(thm)],[2309, 2308])).
% 4.06/2.92 tff(2311,plain,
% 4.06/2.92 ((~m_main_v_state1(s23, c_n1)) | (~m_main_v_state2(s23, c_t2)) | m_main_v_state1(s24, c_t1)),
% 4.06/2.92 inference(unit_resolution,[status(thm)],[2310, 651, 2307])).
% 4.06/2.92 tff(2312,plain,
% 4.06/2.92 (m_main_v_state1(s24, c_t1)),
% 4.06/2.92 inference(unit_resolution,[status(thm)],[2311, 2296, 2240])).
% 4.06/2.92 tff(2313,plain,
% 4.06/2.92 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s24, c_n1)) | (~m_main_v_state1(s24, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s24, c_n1)) | (~m_main_v_state1(s24, c_t1)))),
% 4.06/2.92 inference(rewrite,[status(thm)],[])).
% 4.06/2.92 tff(2314,plain,
% 4.06/2.92 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s24, c_n1)) | (~m_main_v_state1(s24, c_t1)))),
% 4.06/2.92 inference(quant_inst,[status(thm)],[])).
% 4.06/2.92 tff(2315,plain,
% 4.06/2.92 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s24, c_n1)) | (~m_main_v_state1(s24, c_t1))),
% 4.06/2.92 inference(modus_ponens,[status(thm)],[2314, 2313])).
% 4.06/2.92 tff(2316,plain,
% 4.06/2.92 (~m_main_v_state1(s24, c_n1)),
% 4.06/2.92 inference(unit_resolution,[status(thm)],[2315, 10, 2312])).
% 4.06/2.92 tff(2317,plain,
% 4.06/2.92 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s24, c_n1) | (~node1(s24)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s24, c_n1) | (~node1(s24)))),
% 4.06/2.92 inference(rewrite,[status(thm)],[])).
% 4.06/2.92 tff(2318,plain,
% 4.06/2.92 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s24, c_n1) | (~node1(s24)))),
% 4.06/2.92 inference(quant_inst,[status(thm)],[])).
% 4.06/2.92 tff(2319,plain,
% 4.06/2.92 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s24, c_n1) | (~node1(s24))),
% 4.06/2.92 inference(modus_ponens,[status(thm)],[2318, 2317])).
% 4.06/2.92 tff(2320,plain,
% 4.06/2.92 (~node1(s24)),
% 4.06/2.92 inference(unit_resolution,[status(thm)],[2319, 421, 2316])).
% 4.06/2.92 tff(2321,plain,
% 4.06/2.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s23, s24)) | node18(s23, s24))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s23, s24)) | node18(s23, s24))),
% 4.06/2.92 inference(rewrite,[status(thm)],[])).
% 4.06/2.92 tff(2322,plain,
% 4.06/2.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s23, s24)) | node18(s23, s24))),
% 4.06/2.92 inference(quant_inst,[status(thm)],[])).
% 4.06/2.92 tff(2323,plain,
% 4.06/2.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s23, s24)) | node18(s23, s24)),
% 4.06/2.92 inference(modus_ponens,[status(thm)],[2322, 2321])).
% 4.06/2.92 tff(2324,plain,
% 4.06/2.92 (node18(s23, s24)),
% 4.06/2.92 inference(unit_resolution,[status(thm)],[2323, 125, 2303])).
% 4.06/2.92 tff(2325,plain,
% 4.06/2.92 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s23, c_n1)) | (~m_main_v_state2(s23, c_t2)) | (~node18(s23, s24)) | m_main_v_turn(s24, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s23, c_n1)) | (~m_main_v_state2(s23, c_t2)) | (~node18(s23, s24)) | m_main_v_turn(s24, c_2))),
% 4.06/2.92 inference(rewrite,[status(thm)],[])).
% 4.06/2.92 tff(2326,plain,
% 4.06/2.92 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s23, c_n1)) | (~m_main_v_state2(s23, c_t2)) | (~node18(s23, s24)) | m_main_v_turn(s24, c_2))),
% 4.06/2.92 inference(quant_inst,[status(thm)],[])).
% 4.06/2.92 tff(2327,plain,
% 4.06/2.92 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s23, c_n1)) | (~m_main_v_state2(s23, c_t2)) | (~node18(s23, s24)) | m_main_v_turn(s24, c_2)),
% 4.06/2.92 inference(modus_ponens,[status(thm)],[2326, 2325])).
% 4.06/2.92 tff(2328,plain,
% 4.06/2.92 ((~m_main_v_state1(s23, c_n1)) | (~m_main_v_state2(s23, c_t2)) | m_main_v_turn(s24, c_2)),
% 4.06/2.92 inference(unit_resolution,[status(thm)],[2327, 760, 2324])).
% 4.06/2.92 tff(2329,plain,
% 4.06/2.92 (m_main_v_turn(s24, c_2)),
% 4.06/2.92 inference(unit_resolution,[status(thm)],[2328, 2296, 2240])).
% 4.06/2.92 tff(2330,plain,
% 4.06/2.92 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s24, c_1)) | (~m_main_v_turn(s24, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s24, c_1)) | (~m_main_v_turn(s24, c_2)))),
% 4.06/2.92 inference(rewrite,[status(thm)],[])).
% 4.06/2.92 tff(2331,plain,
% 4.06/2.92 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s24, c_1)) | (~m_main_v_turn(s24, c_2)))),
% 4.06/2.92 inference(quant_inst,[status(thm)],[])).
% 4.06/2.92 tff(2332,plain,
% 4.06/2.92 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s24, c_1)) | (~m_main_v_turn(s24, c_2))),
% 4.06/2.92 inference(modus_ponens,[status(thm)],[2331, 2330])).
% 4.06/2.92 tff(2333,plain,
% 4.06/2.92 (~m_main_v_turn(s24, c_1)),
% 4.06/2.92 inference(unit_resolution,[status(thm)],[2332, 156, 2329])).
% 4.06/2.92 tff(2334,plain,
% 4.06/2.92 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s24, c_1) | (~node5(s24)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s24, c_1) | (~node5(s24)))),
% 4.06/2.92 inference(rewrite,[status(thm)],[])).
% 4.06/2.92 tff(2335,plain,
% 4.06/2.92 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s24, c_1) | (~node5(s24)))),
% 4.06/2.92 inference(quant_inst,[status(thm)],[])).
% 4.06/2.92 tff(2336,plain,
% 4.06/2.92 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s24, c_1) | (~node5(s24))),
% 4.06/2.92 inference(modus_ponens,[status(thm)],[2335, 2334])).
% 4.06/2.92 tff(2337,plain,
% 4.06/2.92 (~node5(s24)),
% 4.06/2.92 inference(unit_resolution,[status(thm)],[2336, 776, 2333])).
% 4.06/2.92 tff(2338,plain,
% 4.06/2.92 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s24, c_n1) | (~node2(s24)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s24, c_n1) | (~node2(s24)))),
% 4.06/2.92 inference(rewrite,[status(thm)],[])).
% 4.06/2.92 tff(2339,plain,
% 4.06/2.92 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s24, c_n1) | (~node2(s24)))),
% 4.06/2.92 inference(quant_inst,[status(thm)],[])).
% 4.06/2.92 tff(2340,plain,
% 4.06/2.92 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s24, c_n1) | (~node2(s24))),
% 4.06/2.92 inference(modus_ponens,[status(thm)],[2339, 2338])).
% 4.06/2.92 tff(2341,plain,
% 4.06/2.92 (~node2(s24)),
% 4.06/2.92 inference(unit_resolution,[status(thm)],[2340, 787, 2316])).
% 4.06/2.92 tff(2342,plain,
% 4.06/2.92 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s24, c_n1) | (~node3(s24)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s24, c_n1) | (~node3(s24)))),
% 4.06/2.92 inference(rewrite,[status(thm)],[])).
% 4.06/2.92 tff(2343,plain,
% 4.06/2.92 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s24, c_n1) | (~node3(s24)))),
% 4.06/2.92 inference(quant_inst,[status(thm)],[])).
% 4.06/2.92 tff(2344,plain,
% 4.06/2.92 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s24, c_n1) | (~node3(s24))),
% 4.06/2.92 inference(modus_ponens,[status(thm)],[2343, 2342])).
% 4.06/2.92 tff(2345,plain,
% 4.06/2.92 (~node3(s24)),
% 4.06/2.92 inference(unit_resolution,[status(thm)],[2344, 798, 2316])).
% 4.06/2.92 tff(2346,plain,
% 4.06/2.92 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s24, c_t1)) | (~m_main_v_state1(s24, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s24, c_t1)) | (~m_main_v_state1(s24, c_c1)))),
% 4.06/2.92 inference(rewrite,[status(thm)],[])).
% 4.06/2.92 tff(2347,plain,
% 4.06/2.92 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s24, c_t1)) | (~m_main_v_state1(s24, c_c1)))),
% 4.06/2.92 inference(quant_inst,[status(thm)],[])).
% 4.06/2.92 tff(2348,plain,
% 4.06/2.92 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s24, c_t1)) | (~m_main_v_state1(s24, c_c1))),
% 4.06/2.92 inference(modus_ponens,[status(thm)],[2347, 2346])).
% 4.06/2.92 tff(2349,plain,
% 4.06/2.92 (~m_main_v_state1(s24, c_c1)),
% 4.06/2.92 inference(unit_resolution,[status(thm)],[2348, 539, 2312])).
% 4.06/2.92 tff(2350,plain,
% 4.06/2.92 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s22, c_n2) | (~m_main_v_state2(s23, c_n2)) | (~node13(s22, s23)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s22, c_n2) | (~m_main_v_state2(s23, c_n2)) | (~node13(s22, s23)))),
% 4.06/2.92 inference(rewrite,[status(thm)],[])).
% 4.06/2.92 tff(2351,plain,
% 4.06/2.92 (((~node13(s22, s23)) | m_main_v_state2(s22, c_n2) | (~m_main_v_state2(s23, c_n2))) <=> (m_main_v_state2(s22, c_n2) | (~m_main_v_state2(s23, c_n2)) | (~node13(s22, s23)))),
% 4.06/2.92 inference(rewrite,[status(thm)],[])).
% 4.06/2.92 tff(2352,plain,
% 4.06/2.92 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s22, s23)) | m_main_v_state2(s22, c_n2) | (~m_main_v_state2(s23, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s22, c_n2) | (~m_main_v_state2(s23, c_n2)) | (~node13(s22, s23))))),
% 4.06/2.92 inference(monotonicity,[status(thm)],[2351])).
% 4.06/2.92 tff(2353,plain,
% 4.06/2.92 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s22, s23)) | m_main_v_state2(s22, c_n2) | (~m_main_v_state2(s23, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s22, c_n2) | (~m_main_v_state2(s23, c_n2)) | (~node13(s22, s23)))),
% 4.06/2.92 inference(transitivity,[status(thm)],[2352, 2350])).
% 4.06/2.92 tff(2354,plain,
% 4.06/2.92 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s22, s23)) | m_main_v_state2(s22, c_n2) | (~m_main_v_state2(s23, c_n2)))),
% 4.06/2.92 inference(quant_inst,[status(thm)],[])).
% 4.06/2.92 tff(2355,plain,
% 4.06/2.92 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s22, c_n2) | (~m_main_v_state2(s23, c_n2)) | (~node13(s22, s23))),
% 4.06/2.92 inference(modus_ponens,[status(thm)],[2354, 2353])).
% 4.06/2.92 tff(2356,plain,
% 4.06/2.92 (~m_main_v_state2(s23, c_n2)),
% 4.06/2.92 inference(unit_resolution,[status(thm)],[2355, 311, 2197, 2289])).
% 4.06/2.92 tff(2357,plain,
% 4.06/2.92 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s23, c_n2) | (~node9(s23)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s23, c_n2) | (~node9(s23)))),
% 4.06/2.92 inference(rewrite,[status(thm)],[])).
% 4.06/2.92 tff(2358,plain,
% 4.06/2.92 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s23, c_n2) | (~node9(s23)))),
% 4.06/2.92 inference(quant_inst,[status(thm)],[])).
% 4.06/2.92 tff(2359,plain,
% 4.06/2.92 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s23, c_n2) | (~node9(s23))),
% 4.06/2.92 inference(modus_ponens,[status(thm)],[2358, 2357])).
% 4.06/2.92 tff(2360,plain,
% 4.06/2.92 (~node9(s23)),
% 4.06/2.92 inference(unit_resolution,[status(thm)],[2359, 88, 2356])).
% 4.06/2.92 tff(2361,plain,
% 4.06/2.92 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s23, c_n2) | (~node10(s23)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s23, c_n2) | (~node10(s23)))),
% 4.06/2.92 inference(rewrite,[status(thm)],[])).
% 4.06/2.92 tff(2362,plain,
% 4.06/2.92 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s23, c_n2) | (~node10(s23)))),
% 4.06/2.92 inference(quant_inst,[status(thm)],[])).
% 4.06/2.93 tff(2363,plain,
% 4.06/2.93 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s23, c_n2) | (~node10(s23))),
% 4.06/2.93 inference(modus_ponens,[status(thm)],[2362, 2361])).
% 4.06/2.93 tff(2364,plain,
% 4.06/2.93 (~node10(s23)),
% 4.06/2.93 inference(unit_resolution,[status(thm)],[2363, 249, 2356])).
% 4.06/2.93 tff(2365,plain,
% 4.06/2.93 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s23, c_n2) | (~node8(s23)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s23, c_n2) | (~node8(s23)))),
% 4.06/2.93 inference(rewrite,[status(thm)],[])).
% 4.06/2.93 tff(2366,plain,
% 4.06/2.93 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s23, c_n2) | (~node8(s23)))),
% 4.06/2.93 inference(quant_inst,[status(thm)],[])).
% 4.06/2.93 tff(2367,plain,
% 4.06/2.93 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s23, c_n2) | (~node8(s23))),
% 4.06/2.93 inference(modus_ponens,[status(thm)],[2366, 2365])).
% 4.06/2.93 tff(2368,plain,
% 4.06/2.93 (~node8(s23)),
% 4.06/2.93 inference(unit_resolution,[status(thm)],[2367, 271, 2356])).
% 4.06/2.93 tff(2369,plain,
% 4.06/2.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s23, s24)) | node14(s23, s24))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s23, s24)) | node14(s23, s24))),
% 4.06/2.93 inference(rewrite,[status(thm)],[])).
% 4.06/2.93 tff(2370,plain,
% 4.06/2.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s23, s24)) | node14(s23, s24))),
% 4.06/2.93 inference(quant_inst,[status(thm)],[])).
% 4.06/2.93 tff(2371,plain,
% 4.06/2.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s23, s24)) | node14(s23, s24)),
% 4.06/2.93 inference(modus_ponens,[status(thm)],[2370, 2369])).
% 4.06/2.93 tff(2372,plain,
% 4.06/2.93 (node14(s23, s24)),
% 4.06/2.93 inference(unit_resolution,[status(thm)],[2371, 46, 2303])).
% 4.06/2.93 tff(2373,plain,
% 4.06/2.93 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s23, c_n1)) | (~m_main_v_state2(s23, c_t2)) | node9(s23) | node8(s23) | node10(s23) | (~node14(s23, s24)) | m_main_v_state2(s24, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s23, c_n1)) | (~m_main_v_state2(s23, c_t2)) | node9(s23) | node8(s23) | node10(s23) | (~node14(s23, s24)) | m_main_v_state2(s24, c_c2))),
% 4.06/2.93 inference(rewrite,[status(thm)],[])).
% 4.06/2.93 tff(2374,plain,
% 4.06/2.93 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s23, c_n1)) | (~m_main_v_state2(s23, c_t2)) | node9(s23) | node8(s23) | node10(s23) | (~node14(s23, s24)) | m_main_v_state2(s24, c_c2))),
% 4.06/2.93 inference(quant_inst,[status(thm)],[])).
% 4.06/2.93 tff(2375,plain,
% 4.06/2.93 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s23, c_n1)) | (~m_main_v_state2(s23, c_t2)) | node9(s23) | node8(s23) | node10(s23) | (~node14(s23, s24)) | m_main_v_state2(s24, c_c2)),
% 4.06/2.93 inference(modus_ponens,[status(thm)],[2374, 2373])).
% 4.06/2.93 tff(2376,plain,
% 4.06/2.93 ((~m_main_v_state1(s23, c_n1)) | (~m_main_v_state2(s23, c_t2)) | node9(s23) | node8(s23) | node10(s23) | m_main_v_state2(s24, c_c2)),
% 4.06/2.93 inference(unit_resolution,[status(thm)],[2375, 617, 2372])).
% 4.06/2.93 tff(2377,plain,
% 4.06/2.93 (m_main_v_state2(s24, c_c2)),
% 4.06/2.93 inference(unit_resolution,[status(thm)],[2376, 2368, 2240, 2296, 2364, 2360])).
% 4.06/2.93 tff(2378,plain,
% 4.06/2.93 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s24, c_n2)) | (~m_main_v_state2(s24, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s24, c_n2)) | (~m_main_v_state2(s24, c_c2)))),
% 4.06/2.93 inference(rewrite,[status(thm)],[])).
% 4.06/2.93 tff(2379,plain,
% 4.06/2.93 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s24, c_n2)) | (~m_main_v_state2(s24, c_c2)))),
% 4.06/2.93 inference(quant_inst,[status(thm)],[])).
% 4.06/2.93 tff(2380,plain,
% 4.06/2.93 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s24, c_n2)) | (~m_main_v_state2(s24, c_c2))),
% 4.06/2.93 inference(modus_ponens,[status(thm)],[2379, 2378])).
% 4.06/2.93 tff(2381,plain,
% 4.06/2.93 (~m_main_v_state2(s24, c_n2)),
% 4.06/2.93 inference(unit_resolution,[status(thm)],[2380, 697, 2377])).
% 4.06/2.93 tff(2382,plain,
% 4.06/2.93 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s24, c_n2) | (~node4(s24)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s24, c_n2) | (~node4(s24)))),
% 4.06/2.93 inference(rewrite,[status(thm)],[])).
% 4.06/2.93 tff(2383,plain,
% 4.06/2.93 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s24, c_n2) | (~node4(s24)))),
% 4.06/2.93 inference(quant_inst,[status(thm)],[])).
% 4.06/2.93 tff(2384,plain,
% 4.06/2.93 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s24, c_n2) | (~node4(s24))),
% 4.06/2.93 inference(modus_ponens,[status(thm)],[2383, 2382])).
% 4.06/2.93 tff(2385,plain,
% 4.06/2.93 (~node4(s24)),
% 4.06/2.93 inference(unit_resolution,[status(thm)],[2384, 388, 2381])).
% 4.06/2.93 tff(2386,plain,
% 4.06/2.93 (succ(s24, s25) <=> succ(s24, s25)),
% 4.06/2.93 inference(rewrite,[status(thm)],[])).
% 4.06/2.93 tff(2387,axiom,(succ(s24, s25)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound25')).
% 4.06/2.93 tff(2388,plain,
% 4.06/2.93 (succ(s24, s25)),
% 4.06/2.93 inference(modus_ponens,[status(thm)],[2387, 2386])).
% 4.06/2.93 tff(2389,plain,
% 4.06/2.93 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s24, s25)) | trans(s24, s25))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s24, s25)) | trans(s24, s25))),
% 4.06/2.93 inference(rewrite,[status(thm)],[])).
% 4.06/2.93 tff(2390,plain,
% 4.06/2.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s24, s25)) | trans(s24, s25))),
% 4.06/2.93 inference(quant_inst,[status(thm)],[])).
% 4.06/2.93 tff(2391,plain,
% 4.06/2.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s24, s25)) | trans(s24, s25)),
% 4.06/2.93 inference(modus_ponens,[status(thm)],[2390, 2389])).
% 4.06/2.93 tff(2392,plain,
% 4.06/2.93 (trans(s24, s25)),
% 4.06/2.93 inference(unit_resolution,[status(thm)],[2391, 2388, 32])).
% 4.06/2.93 tff(2393,plain,
% 4.06/2.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s24, s25)) | node7(s24, s25))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s24, s25)) | node7(s24, s25))),
% 4.06/2.93 inference(rewrite,[status(thm)],[])).
% 4.06/2.93 tff(2394,plain,
% 4.06/2.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s24, s25)) | node7(s24, s25))),
% 4.06/2.93 inference(quant_inst,[status(thm)],[])).
% 4.06/2.93 tff(2395,plain,
% 4.06/2.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s24, s25)) | node7(s24, s25)),
% 4.06/2.93 inference(modus_ponens,[status(thm)],[2394, 2393])).
% 4.06/2.93 tff(2396,plain,
% 4.06/2.93 (node7(s24, s25)),
% 4.06/2.93 inference(unit_resolution,[status(thm)],[2395, 206, 2392])).
% 4.06/2.93 tff(2397,plain,
% 4.06/2.93 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s24, c_c1) | node1(s24) | node2(s24) | node3(s24) | node4(s24) | node5(s24) | node6(s24, s25) | (~node7(s24, s25)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s24, c_c1) | node1(s24) | node2(s24) | node3(s24) | node4(s24) | node5(s24) | node6(s24, s25) | (~node7(s24, s25)))),
% 4.06/2.93 inference(rewrite,[status(thm)],[])).
% 4.06/2.93 tff(2398,plain,
% 4.06/2.93 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s24, c_c1) | node1(s24) | node2(s24) | node3(s24) | node4(s24) | node5(s24) | node6(s24, s25) | (~node7(s24, s25)))),
% 4.06/2.93 inference(quant_inst,[status(thm)],[])).
% 4.06/2.93 tff(2399,plain,
% 4.06/2.93 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s24, c_c1) | node1(s24) | node2(s24) | node3(s24) | node4(s24) | node5(s24) | node6(s24, s25) | (~node7(s24, s25))),
% 4.06/2.93 inference(modus_ponens,[status(thm)],[2398, 2397])).
% 4.06/2.93 tff(2400,plain,
% 4.06/2.93 (m_main_v_state1(s24, c_c1) | node1(s24) | node2(s24) | node3(s24) | node4(s24) | node5(s24) | node6(s24, s25)),
% 4.06/2.93 inference(unit_resolution,[status(thm)],[2399, 820, 2396])).
% 4.06/2.93 tff(2401,plain,
% 4.06/2.93 (node6(s24, s25)),
% 4.06/2.93 inference(unit_resolution,[status(thm)],[2400, 2385, 2349, 2345, 2341, 2337, 2320])).
% 4.06/2.93 tff(2402,plain,
% 4.06/2.93 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s24, c_t1)) | m_main_v_state1(s25, c_t1) | (~node6(s24, s25)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s24, c_t1)) | m_main_v_state1(s25, c_t1) | (~node6(s24, s25)))),
% 4.06/2.93 inference(rewrite,[status(thm)],[])).
% 4.06/2.93 tff(2403,plain,
% 4.06/2.93 (((~node6(s24, s25)) | (~m_main_v_state1(s24, c_t1)) | m_main_v_state1(s25, c_t1)) <=> ((~m_main_v_state1(s24, c_t1)) | m_main_v_state1(s25, c_t1) | (~node6(s24, s25)))),
% 4.06/2.93 inference(rewrite,[status(thm)],[])).
% 4.06/2.93 tff(2404,plain,
% 4.06/2.93 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s24, s25)) | (~m_main_v_state1(s24, c_t1)) | m_main_v_state1(s25, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s24, c_t1)) | m_main_v_state1(s25, c_t1) | (~node6(s24, s25))))),
% 4.06/2.93 inference(monotonicity,[status(thm)],[2403])).
% 4.06/2.93 tff(2405,plain,
% 4.06/2.93 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s24, s25)) | (~m_main_v_state1(s24, c_t1)) | m_main_v_state1(s25, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s24, c_t1)) | m_main_v_state1(s25, c_t1) | (~node6(s24, s25)))),
% 4.06/2.93 inference(transitivity,[status(thm)],[2404, 2402])).
% 4.06/2.93 tff(2406,plain,
% 4.06/2.93 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s24, s25)) | (~m_main_v_state1(s24, c_t1)) | m_main_v_state1(s25, c_t1))),
% 4.06/2.93 inference(quant_inst,[status(thm)],[])).
% 4.06/2.93 tff(2407,plain,
% 4.06/2.93 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s24, c_t1)) | m_main_v_state1(s25, c_t1) | (~node6(s24, s25))),
% 4.06/2.93 inference(modus_ponens,[status(thm)],[2406, 2405])).
% 4.06/2.93 tff(2408,plain,
% 4.06/2.93 (m_main_v_state1(s25, c_t1)),
% 4.06/2.93 inference(unit_resolution,[status(thm)],[2407, 856, 2312, 2401])).
% 4.06/2.93 tff(2409,plain,
% 4.06/2.93 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s24, c_t2)) | (~m_main_v_state2(s24, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s24, c_t2)) | (~m_main_v_state2(s24, c_c2)))),
% 4.06/2.93 inference(rewrite,[status(thm)],[])).
% 4.06/2.93 tff(2410,plain,
% 4.06/2.93 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s24, c_t2)) | (~m_main_v_state2(s24, c_c2)))),
% 4.06/2.93 inference(quant_inst,[status(thm)],[])).
% 4.06/2.93 tff(2411,plain,
% 4.06/2.93 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s24, c_t2)) | (~m_main_v_state2(s24, c_c2))),
% 4.06/2.93 inference(modus_ponens,[status(thm)],[2410, 2409])).
% 4.06/2.93 tff(2412,plain,
% 4.06/2.93 (~m_main_v_state2(s24, c_t2)),
% 4.06/2.93 inference(unit_resolution,[status(thm)],[2411, 260, 2377])).
% 4.06/2.93 tff(2413,plain,
% 4.06/2.93 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s24, c_t2) | (~node12(s24)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s24, c_t2) | (~node12(s24)))),
% 4.06/2.93 inference(rewrite,[status(thm)],[])).
% 4.06/2.93 tff(2414,plain,
% 4.06/2.93 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s24, c_t2) | (~node12(s24)))),
% 4.06/2.93 inference(quant_inst,[status(thm)],[])).
% 4.06/2.93 tff(2415,plain,
% 4.06/2.93 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s24, c_t2) | (~node12(s24))),
% 4.06/2.93 inference(modus_ponens,[status(thm)],[2414, 2413])).
% 4.06/2.93 tff(2416,plain,
% 4.06/2.93 (~node12(s24)),
% 4.06/2.93 inference(unit_resolution,[status(thm)],[2415, 633, 2412])).
% 4.06/2.93 tff(2417,plain,
% 4.06/2.93 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s24, c_n1) | (~node11(s24)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s24, c_n1) | (~node11(s24)))),
% 4.06/2.93 inference(rewrite,[status(thm)],[])).
% 4.06/2.93 tff(2418,plain,
% 4.06/2.93 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s24, c_n1) | (~node11(s24)))),
% 4.06/2.93 inference(quant_inst,[status(thm)],[])).
% 4.06/2.93 tff(2419,plain,
% 4.06/2.93 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s24, c_n1) | (~node11(s24))),
% 4.06/2.93 inference(modus_ponens,[status(thm)],[2418, 2417])).
% 4.06/2.93 tff(2420,plain,
% 4.06/2.93 (~node11(s24)),
% 4.06/2.93 inference(unit_resolution,[status(thm)],[2419, 238, 2316])).
% 4.06/2.93 tff(2421,plain,
% 4.06/2.93 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s24, c_c1) | (~node10(s24)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s24, c_c1) | (~node10(s24)))),
% 4.06/2.93 inference(rewrite,[status(thm)],[])).
% 4.06/2.93 tff(2422,plain,
% 4.06/2.93 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s24, c_c1) | (~node10(s24)))),
% 4.06/2.93 inference(quant_inst,[status(thm)],[])).
% 4.06/2.93 tff(2423,plain,
% 4.06/2.93 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s24, c_c1) | (~node10(s24))),
% 4.06/2.93 inference(modus_ponens,[status(thm)],[2422, 2421])).
% 4.06/2.93 tff(2424,plain,
% 4.06/2.93 (~node10(s24)),
% 4.06/2.93 inference(unit_resolution,[status(thm)],[2423, 675, 2349])).
% 4.06/2.93 tff(2425,plain,
% 4.06/2.93 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s24, c_n1) | (~node9(s24)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s24, c_n1) | (~node9(s24)))),
% 4.06/2.93 inference(rewrite,[status(thm)],[])).
% 4.06/2.93 tff(2426,plain,
% 4.06/2.93 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s24, c_n1) | (~node9(s24)))),
% 4.06/2.93 inference(quant_inst,[status(thm)],[])).
% 4.06/2.93 tff(2427,plain,
% 4.06/2.93 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s24, c_n1) | (~node9(s24))),
% 4.06/2.93 inference(modus_ponens,[status(thm)],[2426, 2425])).
% 4.06/2.93 tff(2428,plain,
% 4.06/2.93 (~node9(s24)),
% 4.06/2.93 inference(unit_resolution,[status(thm)],[2427, 686, 2316])).
% 4.06/2.93 tff(2429,plain,
% 4.06/2.93 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s24, c_n2) | (~node8(s24)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s24, c_n2) | (~node8(s24)))),
% 4.06/2.93 inference(rewrite,[status(thm)],[])).
% 4.06/2.93 tff(2430,plain,
% 4.06/2.93 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s24, c_n2) | (~node8(s24)))),
% 4.06/2.93 inference(quant_inst,[status(thm)],[])).
% 4.06/2.93 tff(2431,plain,
% 4.06/2.93 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s24, c_n2) | (~node8(s24))),
% 4.06/2.93 inference(modus_ponens,[status(thm)],[2430, 2429])).
% 4.06/2.93 tff(2432,plain,
% 4.06/2.93 (~node8(s24)),
% 4.06/2.93 inference(unit_resolution,[status(thm)],[2431, 271, 2381])).
% 4.06/2.93 tff(2433,plain,
% 4.06/2.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s24, s25)) | node14(s24, s25))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s24, s25)) | node14(s24, s25))),
% 4.06/2.93 inference(rewrite,[status(thm)],[])).
% 4.06/2.93 tff(2434,plain,
% 4.06/2.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s24, s25)) | node14(s24, s25))),
% 4.06/2.93 inference(quant_inst,[status(thm)],[])).
% 4.06/2.93 tff(2435,plain,
% 4.06/2.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s24, s25)) | node14(s24, s25)),
% 4.06/2.93 inference(modus_ponens,[status(thm)],[2434, 2433])).
% 4.06/2.93 tff(2436,plain,
% 4.06/2.93 (node14(s24, s25)),
% 4.06/2.93 inference(unit_resolution,[status(thm)],[2435, 46, 2392])).
% 4.06/2.93 tff(2437,plain,
% 4.06/2.93 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s25, c_n2) | node9(s24) | node8(s24) | node10(s24) | node11(s24) | node12(s24) | (~node14(s24, s25)) | (~m_main_v_state2(s24, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s25, c_n2) | node9(s24) | node8(s24) | node10(s24) | node11(s24) | node12(s24) | (~node14(s24, s25)) | (~m_main_v_state2(s24, c_c2)))),
% 4.06/2.93 inference(rewrite,[status(thm)],[])).
% 4.06/2.93 tff(2438,plain,
% 4.06/2.93 (((~m_main_v_state2(s24, c_c2)) | node9(s24) | node8(s24) | node10(s24) | node11(s24) | node12(s24) | (~node14(s24, s25)) | m_main_v_state2(s25, c_n2)) <=> (m_main_v_state2(s25, c_n2) | node9(s24) | node8(s24) | node10(s24) | node11(s24) | node12(s24) | (~node14(s24, s25)) | (~m_main_v_state2(s24, c_c2)))),
% 4.06/2.93 inference(rewrite,[status(thm)],[])).
% 4.06/2.93 tff(2439,plain,
% 4.06/2.93 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s24, c_c2)) | node9(s24) | node8(s24) | node10(s24) | node11(s24) | node12(s24) | (~node14(s24, s25)) | m_main_v_state2(s25, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s25, c_n2) | node9(s24) | node8(s24) | node10(s24) | node11(s24) | node12(s24) | (~node14(s24, s25)) | (~m_main_v_state2(s24, c_c2))))),
% 4.06/2.93 inference(monotonicity,[status(thm)],[2438])).
% 4.06/2.93 tff(2440,plain,
% 4.06/2.93 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s24, c_c2)) | node9(s24) | node8(s24) | node10(s24) | node11(s24) | node12(s24) | (~node14(s24, s25)) | m_main_v_state2(s25, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s25, c_n2) | node9(s24) | node8(s24) | node10(s24) | node11(s24) | node12(s24) | (~node14(s24, s25)) | (~m_main_v_state2(s24, c_c2)))),
% 4.06/2.93 inference(transitivity,[status(thm)],[2439, 2437])).
% 4.06/2.93 tff(2441,plain,
% 4.06/2.93 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s24, c_c2)) | node9(s24) | node8(s24) | node10(s24) | node11(s24) | node12(s24) | (~node14(s24, s25)) | m_main_v_state2(s25, c_n2))),
% 4.06/2.93 inference(quant_inst,[status(thm)],[])).
% 4.06/2.93 tff(2442,plain,
% 4.06/2.93 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s25, c_n2) | node9(s24) | node8(s24) | node10(s24) | node11(s24) | node12(s24) | (~node14(s24, s25)) | (~m_main_v_state2(s24, c_c2))),
% 4.06/2.93 inference(modus_ponens,[status(thm)],[2441, 2440])).
% 4.06/2.93 tff(2443,plain,
% 4.06/2.93 (m_main_v_state2(s25, c_n2) | node9(s24) | node8(s24) | node10(s24) | node11(s24) | node12(s24) | (~m_main_v_state2(s24, c_c2))),
% 4.06/2.93 inference(unit_resolution,[status(thm)],[2442, 726, 2436])).
% 4.06/2.93 tff(2444,plain,
% 4.06/2.93 (m_main_v_state2(s25, c_n2)),
% 4.06/2.93 inference(unit_resolution,[status(thm)],[2443, 2432, 2377, 2428, 2424, 2420, 2416])).
% 4.06/2.93 tff(2445,plain,
% 4.06/2.93 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s25, c_n2)) | (~m_main_v_state2(s25, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s25, c_n2)) | (~m_main_v_state2(s25, c_t2)))),
% 4.06/2.93 inference(rewrite,[status(thm)],[])).
% 4.06/2.93 tff(2446,plain,
% 4.06/2.93 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s25, c_n2)) | (~m_main_v_state2(s25, c_t2)))),
% 4.06/2.93 inference(quant_inst,[status(thm)],[])).
% 4.06/2.93 tff(2447,plain,
% 4.06/2.93 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s25, c_n2)) | (~m_main_v_state2(s25, c_t2))),
% 4.06/2.93 inference(modus_ponens,[status(thm)],[2446, 2445])).
% 4.06/2.93 tff(2448,plain,
% 4.06/2.93 (~m_main_v_state2(s25, c_t2)),
% 4.06/2.93 inference(unit_resolution,[status(thm)],[2447, 77, 2444])).
% 4.06/2.93 tff(2449,plain,
% 4.06/2.93 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s25, c_t2) | (~node15(s25)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s25, c_t2) | (~node15(s25)))),
% 4.09/2.93 inference(rewrite,[status(thm)],[])).
% 4.09/2.93 tff(2450,plain,
% 4.09/2.93 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s25, c_t2) | (~node15(s25)))),
% 4.09/2.93 inference(quant_inst,[status(thm)],[])).
% 4.09/2.93 tff(2451,plain,
% 4.09/2.93 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s25, c_t2) | (~node15(s25))),
% 4.09/2.93 inference(modus_ponens,[status(thm)],[2450, 2449])).
% 4.09/2.93 tff(2452,plain,
% 4.09/2.93 (~node15(s25)),
% 4.09/2.93 inference(unit_resolution,[status(thm)],[2451, 103, 2448])).
% 4.09/2.93 tff(2453,plain,
% 4.09/2.93 (succ(s25, s26) <=> succ(s25, s26)),
% 4.09/2.93 inference(rewrite,[status(thm)],[])).
% 4.09/2.93 tff(2454,axiom,(succ(s25, s26)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound26')).
% 4.09/2.93 tff(2455,plain,
% 4.09/2.93 (succ(s25, s26)),
% 4.09/2.93 inference(modus_ponens,[status(thm)],[2454, 2453])).
% 4.09/2.93 tff(2456,plain,
% 4.09/2.93 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s25, s26)) | trans(s25, s26))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s25, s26)) | trans(s25, s26))),
% 4.09/2.93 inference(rewrite,[status(thm)],[])).
% 4.09/2.93 tff(2457,plain,
% 4.09/2.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s25, s26)) | trans(s25, s26))),
% 4.09/2.93 inference(quant_inst,[status(thm)],[])).
% 4.09/2.93 tff(2458,plain,
% 4.09/2.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s25, s26)) | trans(s25, s26)),
% 4.09/2.93 inference(modus_ponens,[status(thm)],[2457, 2456])).
% 4.09/2.93 tff(2459,plain,
% 4.09/2.93 (trans(s25, s26)),
% 4.09/2.93 inference(unit_resolution,[status(thm)],[2458, 2455, 32])).
% 4.09/2.93 tff(2460,plain,
% 4.09/2.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s25, s26)) | node18(s25, s26))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s25, s26)) | node18(s25, s26))),
% 4.09/2.93 inference(rewrite,[status(thm)],[])).
% 4.09/2.93 tff(2461,plain,
% 4.09/2.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s25, s26)) | node18(s25, s26))),
% 4.09/2.93 inference(quant_inst,[status(thm)],[])).
% 4.09/2.93 tff(2462,plain,
% 4.09/2.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s25, s26)) | node18(s25, s26)),
% 4.09/2.93 inference(modus_ponens,[status(thm)],[2461, 2460])).
% 4.09/2.93 tff(2463,plain,
% 4.09/2.93 (node18(s25, s26)),
% 4.09/2.93 inference(unit_resolution,[status(thm)],[2462, 125, 2459])).
% 4.09/2.93 tff(2464,plain,
% 4.09/2.93 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s25) | (~node18(s25, s26)) | (~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | m_main_v_turn(s26, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s25) | (~node18(s25, s26)) | (~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | m_main_v_turn(s26, c_1))),
% 4.09/2.93 inference(rewrite,[status(thm)],[])).
% 4.09/2.93 tff(2465,plain,
% 4.09/2.93 (((~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | node15(s25) | (~node18(s25, s26)) | m_main_v_turn(s26, c_1)) <=> (node15(s25) | (~node18(s25, s26)) | (~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | m_main_v_turn(s26, c_1))),
% 4.09/2.93 inference(rewrite,[status(thm)],[])).
% 4.09/2.93 tff(2466,plain,
% 4.09/2.93 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | node15(s25) | (~node18(s25, s26)) | m_main_v_turn(s26, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s25) | (~node18(s25, s26)) | (~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | m_main_v_turn(s26, c_1)))),
% 4.09/2.93 inference(monotonicity,[status(thm)],[2465])).
% 4.09/2.93 tff(2467,plain,
% 4.09/2.93 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | node15(s25) | (~node18(s25, s26)) | m_main_v_turn(s26, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s25) | (~node18(s25, s26)) | (~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | m_main_v_turn(s26, c_1))),
% 4.10/2.94 inference(transitivity,[status(thm)],[2466, 2464])).
% 4.10/2.94 tff(2468,plain,
% 4.10/2.94 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | node15(s25) | (~node18(s25, s26)) | m_main_v_turn(s26, c_1))),
% 4.10/2.94 inference(quant_inst,[status(thm)],[])).
% 4.10/2.94 tff(2469,plain,
% 4.10/2.94 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s25) | (~node18(s25, s26)) | (~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | m_main_v_turn(s26, c_1)),
% 4.10/2.94 inference(modus_ponens,[status(thm)],[2468, 2467])).
% 4.10/2.94 tff(2470,plain,
% 4.10/2.94 (node15(s25) | (~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | m_main_v_turn(s26, c_1)),
% 4.10/2.94 inference(unit_resolution,[status(thm)],[2469, 992, 2463])).
% 4.10/2.94 tff(2471,plain,
% 4.10/2.94 (m_main_v_turn(s26, c_1)),
% 4.10/2.94 inference(unit_resolution,[status(thm)],[2470, 2452, 2444, 2408])).
% 4.10/2.94 tff(2472,plain,
% 4.10/2.94 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s26, c_1)) | (~m_main_v_turn(s26, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s26, c_1)) | (~m_main_v_turn(s26, c_2)))),
% 4.10/2.94 inference(rewrite,[status(thm)],[])).
% 4.10/2.94 tff(2473,plain,
% 4.10/2.94 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s26, c_1)) | (~m_main_v_turn(s26, c_2)))),
% 4.10/2.94 inference(quant_inst,[status(thm)],[])).
% 4.10/2.94 tff(2474,plain,
% 4.10/2.94 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s26, c_1)) | (~m_main_v_turn(s26, c_2))),
% 4.10/2.94 inference(modus_ponens,[status(thm)],[2473, 2472])).
% 4.10/2.94 tff(2475,plain,
% 4.10/2.94 (~m_main_v_turn(s26, c_2)),
% 4.10/2.94 inference(unit_resolution,[status(thm)],[2474, 156, 2471])).
% 4.10/2.94 tff(2476,plain,
% 4.10/2.94 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s26, c_2) | (~node12(s26)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s26, c_2) | (~node12(s26)))),
% 4.10/2.94 inference(rewrite,[status(thm)],[])).
% 4.10/2.94 tff(2477,plain,
% 4.10/2.94 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s26, c_2) | (~node12(s26)))),
% 4.10/2.94 inference(quant_inst,[status(thm)],[])).
% 4.10/2.94 tff(2478,plain,
% 4.10/2.94 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s26, c_2) | (~node12(s26))),
% 4.10/2.94 inference(modus_ponens,[status(thm)],[2477, 2476])).
% 4.10/2.94 tff(2479,plain,
% 4.10/2.94 (~node12(s26)),
% 4.10/2.94 inference(unit_resolution,[status(thm)],[2478, 184, 2475])).
% 4.10/2.94 tff(2480,plain,
% 4.10/2.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s25, s26)) | node14(s25, s26))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s25, s26)) | node14(s25, s26))),
% 4.10/2.94 inference(rewrite,[status(thm)],[])).
% 4.10/2.94 tff(2481,plain,
% 4.10/2.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s25, s26)) | node14(s25, s26))),
% 4.10/2.94 inference(quant_inst,[status(thm)],[])).
% 4.10/2.94 tff(2482,plain,
% 4.10/2.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s25, s26)) | node14(s25, s26)),
% 4.10/2.94 inference(modus_ponens,[status(thm)],[2481, 2480])).
% 4.10/2.94 tff(2483,plain,
% 4.10/2.94 (node14(s25, s26)),
% 4.10/2.94 inference(unit_resolution,[status(thm)],[2482, 46, 2459])).
% 4.10/2.94 tff(2484,plain,
% 4.10/2.94 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | (~node14(s25, s26)) | m_main_v_state2(s26, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | (~node14(s25, s26)) | m_main_v_state2(s26, c_t2))),
% 4.10/2.94 inference(rewrite,[status(thm)],[])).
% 4.10/2.94 tff(2485,plain,
% 4.10/2.94 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | (~node14(s25, s26)) | m_main_v_state2(s26, c_t2))),
% 4.10/2.94 inference(quant_inst,[status(thm)],[])).
% 4.10/2.94 tff(2486,plain,
% 4.10/2.94 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | (~node14(s25, s26)) | m_main_v_state2(s26, c_t2)),
% 4.10/2.94 inference(modus_ponens,[status(thm)],[2485, 2484])).
% 4.10/2.94 tff(2487,plain,
% 4.10/2.94 ((~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | m_main_v_state2(s26, c_t2)),
% 4.10/2.94 inference(unit_resolution,[status(thm)],[2486, 922, 2483])).
% 4.10/2.94 tff(2488,plain,
% 4.10/2.94 (m_main_v_state2(s26, c_t2)),
% 4.10/2.94 inference(unit_resolution,[status(thm)],[2487, 2408, 2444])).
% 4.10/2.94 tff(2489,plain,
% 4.10/2.94 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s26, c_n2)) | (~m_main_v_state2(s26, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s26, c_n2)) | (~m_main_v_state2(s26, c_t2)))),
% 4.10/2.94 inference(rewrite,[status(thm)],[])).
% 4.10/2.94 tff(2490,plain,
% 4.10/2.94 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s26, c_n2)) | (~m_main_v_state2(s26, c_t2)))),
% 4.10/2.94 inference(quant_inst,[status(thm)],[])).
% 4.10/2.94 tff(2491,plain,
% 4.10/2.94 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s26, c_n2)) | (~m_main_v_state2(s26, c_t2))),
% 4.10/2.94 inference(modus_ponens,[status(thm)],[2490, 2489])).
% 4.10/2.94 tff(2492,plain,
% 4.10/2.94 (~m_main_v_state2(s26, c_n2)),
% 4.10/2.94 inference(unit_resolution,[status(thm)],[2491, 77, 2488])).
% 4.10/2.94 tff(2493,plain,
% 4.10/2.94 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s26, c_n2) | (~node8(s26)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s26, c_n2) | (~node8(s26)))),
% 4.10/2.94 inference(rewrite,[status(thm)],[])).
% 4.10/2.94 tff(2494,plain,
% 4.10/2.94 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s26, c_n2) | (~node8(s26)))),
% 4.10/2.94 inference(quant_inst,[status(thm)],[])).
% 4.10/2.94 tff(2495,plain,
% 4.10/2.94 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s26, c_n2) | (~node8(s26))),
% 4.10/2.94 inference(modus_ponens,[status(thm)],[2494, 2493])).
% 4.10/2.94 tff(2496,plain,
% 4.10/2.94 (~node8(s26)),
% 4.10/2.94 inference(unit_resolution,[status(thm)],[2495, 271, 2492])).
% 4.10/2.94 tff(2497,plain,
% 4.10/2.94 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s26, c_n2) | (~node9(s26)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s26, c_n2) | (~node9(s26)))),
% 4.10/2.94 inference(rewrite,[status(thm)],[])).
% 4.10/2.94 tff(2498,plain,
% 4.10/2.94 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s26, c_n2) | (~node9(s26)))),
% 4.10/2.94 inference(quant_inst,[status(thm)],[])).
% 4.10/2.94 tff(2499,plain,
% 4.10/2.94 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s26, c_n2) | (~node9(s26))),
% 4.10/2.94 inference(modus_ponens,[status(thm)],[2498, 2497])).
% 4.10/2.94 tff(2500,plain,
% 4.10/2.94 (~node9(s26)),
% 4.10/2.94 inference(unit_resolution,[status(thm)],[2499, 88, 2492])).
% 4.10/2.94 tff(2501,plain,
% 4.10/2.94 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s26, c_n2) | (~node10(s26)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s26, c_n2) | (~node10(s26)))),
% 4.10/2.94 inference(rewrite,[status(thm)],[])).
% 4.10/2.94 tff(2502,plain,
% 4.10/2.94 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s26, c_n2) | (~node10(s26)))),
% 4.10/2.94 inference(quant_inst,[status(thm)],[])).
% 4.10/2.94 tff(2503,plain,
% 4.10/2.94 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s26, c_n2) | (~node10(s26))),
% 4.10/2.94 inference(modus_ponens,[status(thm)],[2502, 2501])).
% 4.10/2.94 tff(2504,plain,
% 4.10/2.94 (~node10(s26)),
% 4.10/2.94 inference(unit_resolution,[status(thm)],[2503, 249, 2492])).
% 4.10/2.94 tff(2505,plain,
% 4.10/2.94 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s26, c_t2)) | (~m_main_v_state2(s26, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s26, c_t2)) | (~m_main_v_state2(s26, c_c2)))),
% 4.10/2.94 inference(rewrite,[status(thm)],[])).
% 4.10/2.94 tff(2506,plain,
% 4.10/2.94 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s26, c_t2)) | (~m_main_v_state2(s26, c_c2)))),
% 4.10/2.94 inference(quant_inst,[status(thm)],[])).
% 4.10/2.94 tff(2507,plain,
% 4.10/2.94 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s26, c_t2)) | (~m_main_v_state2(s26, c_c2))),
% 4.10/2.94 inference(modus_ponens,[status(thm)],[2506, 2505])).
% 4.10/2.94 tff(2508,plain,
% 4.10/2.94 (~m_main_v_state2(s26, c_c2)),
% 4.10/2.94 inference(unit_resolution,[status(thm)],[2507, 260, 2488])).
% 4.10/2.94 tff(2509,plain,
% 4.10/2.94 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s25, c_n2)) | (~m_main_v_state2(s25, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s25, c_n2)) | (~m_main_v_state2(s25, c_c2)))),
% 4.10/2.94 inference(rewrite,[status(thm)],[])).
% 4.10/2.94 tff(2510,plain,
% 4.10/2.94 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s25, c_n2)) | (~m_main_v_state2(s25, c_c2)))),
% 4.10/2.94 inference(quant_inst,[status(thm)],[])).
% 4.10/2.94 tff(2511,plain,
% 4.10/2.94 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s25, c_n2)) | (~m_main_v_state2(s25, c_c2))),
% 4.10/2.94 inference(modus_ponens,[status(thm)],[2510, 2509])).
% 4.10/2.94 tff(2512,plain,
% 4.10/2.94 (~m_main_v_state2(s25, c_c2)),
% 4.10/2.94 inference(unit_resolution,[status(thm)],[2511, 697, 2444])).
% 4.10/2.94 tff(2513,plain,
% 4.10/2.94 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s25, c_c2) | (~node3(s25)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s25, c_c2) | (~node3(s25)))),
% 4.10/2.94 inference(rewrite,[status(thm)],[])).
% 4.10/2.94 tff(2514,plain,
% 4.10/2.94 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s25, c_c2) | (~node3(s25)))),
% 4.10/2.94 inference(quant_inst,[status(thm)],[])).
% 4.10/2.94 tff(2515,plain,
% 4.10/2.94 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s25, c_c2) | (~node3(s25))),
% 4.10/2.94 inference(modus_ponens,[status(thm)],[2514, 2513])).
% 4.10/2.94 tff(2516,plain,
% 4.10/2.94 (~node3(s25)),
% 4.10/2.94 inference(unit_resolution,[status(thm)],[2515, 399, 2512])).
% 4.10/2.94 tff(2517,plain,
% 4.10/2.94 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s24, c_n1) | (~m_main_v_state1(s25, c_n1)) | (~node6(s24, s25)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s24, c_n1) | (~m_main_v_state1(s25, c_n1)) | (~node6(s24, s25)))),
% 4.10/2.94 inference(rewrite,[status(thm)],[])).
% 4.10/2.94 tff(2518,plain,
% 4.10/2.94 (((~node6(s24, s25)) | m_main_v_state1(s24, c_n1) | (~m_main_v_state1(s25, c_n1))) <=> (m_main_v_state1(s24, c_n1) | (~m_main_v_state1(s25, c_n1)) | (~node6(s24, s25)))),
% 4.10/2.94 inference(rewrite,[status(thm)],[])).
% 4.10/2.94 tff(2519,plain,
% 4.10/2.94 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s24, s25)) | m_main_v_state1(s24, c_n1) | (~m_main_v_state1(s25, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s24, c_n1) | (~m_main_v_state1(s25, c_n1)) | (~node6(s24, s25))))),
% 4.10/2.94 inference(monotonicity,[status(thm)],[2518])).
% 4.10/2.94 tff(2520,plain,
% 4.10/2.94 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s24, s25)) | m_main_v_state1(s24, c_n1) | (~m_main_v_state1(s25, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s24, c_n1) | (~m_main_v_state1(s25, c_n1)) | (~node6(s24, s25)))),
% 4.10/2.94 inference(transitivity,[status(thm)],[2519, 2517])).
% 4.10/2.94 tff(2521,plain,
% 4.10/2.94 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s24, s25)) | m_main_v_state1(s24, c_n1) | (~m_main_v_state1(s25, c_n1)))),
% 4.10/2.94 inference(quant_inst,[status(thm)],[])).
% 4.10/2.94 tff(2522,plain,
% 4.10/2.94 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s24, c_n1) | (~m_main_v_state1(s25, c_n1)) | (~node6(s24, s25))),
% 4.10/2.94 inference(modus_ponens,[status(thm)],[2521, 2520])).
% 4.10/2.94 tff(2523,plain,
% 4.10/2.94 (~m_main_v_state1(s25, c_n1)),
% 4.10/2.94 inference(unit_resolution,[status(thm)],[2522, 835, 2316, 2401])).
% 4.10/2.94 tff(2524,plain,
% 4.10/2.94 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s25, c_n1) | (~node2(s25)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s25, c_n1) | (~node2(s25)))),
% 4.10/2.94 inference(rewrite,[status(thm)],[])).
% 4.10/2.94 tff(2525,plain,
% 4.10/2.94 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s25, c_n1) | (~node2(s25)))),
% 4.10/2.94 inference(quant_inst,[status(thm)],[])).
% 4.10/2.94 tff(2526,plain,
% 4.10/2.94 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s25, c_n1) | (~node2(s25))),
% 4.10/2.94 inference(modus_ponens,[status(thm)],[2525, 2524])).
% 4.10/2.94 tff(2527,plain,
% 4.10/2.94 (~node2(s25)),
% 4.10/2.94 inference(unit_resolution,[status(thm)],[2526, 787, 2523])).
% 4.10/2.94 tff(2528,plain,
% 4.10/2.94 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s25, c_t2) | (~node1(s25)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s25, c_t2) | (~node1(s25)))),
% 4.10/2.94 inference(rewrite,[status(thm)],[])).
% 4.10/2.94 tff(2529,plain,
% 4.10/2.94 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s25, c_t2) | (~node1(s25)))),
% 4.10/2.94 inference(quant_inst,[status(thm)],[])).
% 4.10/2.94 tff(2530,plain,
% 4.10/2.94 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s25, c_t2) | (~node1(s25))),
% 4.10/2.94 inference(modus_ponens,[status(thm)],[2529, 2528])).
% 4.10/2.94 tff(2531,plain,
% 4.10/2.94 (~node1(s25)),
% 4.10/2.94 inference(unit_resolution,[status(thm)],[2530, 195, 2448])).
% 4.10/2.94 tff(2532,plain,
% 4.10/2.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s25, s26)) | node7(s25, s26))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s25, s26)) | node7(s25, s26))),
% 4.10/2.94 inference(rewrite,[status(thm)],[])).
% 4.10/2.94 tff(2533,plain,
% 4.10/2.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s25, s26)) | node7(s25, s26))),
% 4.10/2.94 inference(quant_inst,[status(thm)],[])).
% 4.10/2.94 tff(2534,plain,
% 4.10/2.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s25, s26)) | node7(s25, s26)),
% 4.10/2.94 inference(modus_ponens,[status(thm)],[2533, 2532])).
% 4.10/2.94 tff(2535,plain,
% 4.10/2.94 (node7(s25, s26)),
% 4.10/2.94 inference(unit_resolution,[status(thm)],[2534, 206, 2459])).
% 4.10/2.94 tff(2536,plain,
% 4.10/2.94 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | m_main_v_state1(s26, c_c1) | node1(s25) | node2(s25) | node3(s25) | (~node7(s25, s26)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | m_main_v_state1(s26, c_c1) | node1(s25) | node2(s25) | node3(s25) | (~node7(s25, s26)))),
% 4.10/2.94 inference(rewrite,[status(thm)],[])).
% 4.10/2.94 tff(2537,plain,
% 4.10/2.94 (((~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | node1(s25) | node2(s25) | node3(s25) | (~node7(s25, s26)) | m_main_v_state1(s26, c_c1)) <=> ((~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | m_main_v_state1(s26, c_c1) | node1(s25) | node2(s25) | node3(s25) | (~node7(s25, s26)))),
% 4.10/2.94 inference(rewrite,[status(thm)],[])).
% 4.10/2.94 tff(2538,plain,
% 4.10/2.94 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | node1(s25) | node2(s25) | node3(s25) | (~node7(s25, s26)) | m_main_v_state1(s26, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | m_main_v_state1(s26, c_c1) | node1(s25) | node2(s25) | node3(s25) | (~node7(s25, s26))))),
% 4.10/2.94 inference(monotonicity,[status(thm)],[2537])).
% 4.10/2.94 tff(2539,plain,
% 4.10/2.94 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | node1(s25) | node2(s25) | node3(s25) | (~node7(s25, s26)) | m_main_v_state1(s26, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | m_main_v_state1(s26, c_c1) | node1(s25) | node2(s25) | node3(s25) | (~node7(s25, s26)))),
% 4.10/2.94 inference(transitivity,[status(thm)],[2538, 2536])).
% 4.10/2.94 tff(2540,plain,
% 4.10/2.94 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | node1(s25) | node2(s25) | node3(s25) | (~node7(s25, s26)) | m_main_v_state1(s26, c_c1))),
% 4.10/2.94 inference(quant_inst,[status(thm)],[])).
% 4.10/2.94 tff(2541,plain,
% 4.10/2.94 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | m_main_v_state1(s26, c_c1) | node1(s25) | node2(s25) | node3(s25) | (~node7(s25, s26))),
% 4.10/2.94 inference(modus_ponens,[status(thm)],[2540, 2539])).
% 4.10/2.94 tff(2542,plain,
% 4.10/2.94 ((~m_main_v_state1(s25, c_t1)) | (~m_main_v_state2(s25, c_n2)) | m_main_v_state1(s26, c_c1) | node1(s25) | node2(s25) | node3(s25)),
% 4.10/2.94 inference(unit_resolution,[status(thm)],[2541, 892, 2535])).
% 4.10/2.94 tff(2543,plain,
% 4.10/2.94 (m_main_v_state1(s26, c_c1)),
% 4.10/2.94 inference(unit_resolution,[status(thm)],[2542, 2531, 2444, 2408, 2527, 2516])).
% 4.10/2.94 tff(2544,plain,
% 4.10/2.94 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s26, c_n1)) | (~m_main_v_state1(s26, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s26, c_n1)) | (~m_main_v_state1(s26, c_c1)))),
% 4.10/2.94 inference(rewrite,[status(thm)],[])).
% 4.10/2.94 tff(2545,plain,
% 4.10/2.94 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s26, c_n1)) | (~m_main_v_state1(s26, c_c1)))),
% 4.10/2.94 inference(quant_inst,[status(thm)],[])).
% 4.10/2.94 tff(2546,plain,
% 4.10/2.94 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s26, c_n1)) | (~m_main_v_state1(s26, c_c1))),
% 4.10/2.94 inference(modus_ponens,[status(thm)],[2545, 2544])).
% 4.10/2.94 tff(2547,plain,
% 4.10/2.94 (~m_main_v_state1(s26, c_n1)),
% 4.10/2.94 inference(unit_resolution,[status(thm)],[2546, 454, 2543])).
% 4.10/2.94 tff(2548,plain,
% 4.10/2.94 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s26, c_n1) | (~node11(s26)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s26, c_n1) | (~node11(s26)))),
% 4.10/2.94 inference(rewrite,[status(thm)],[])).
% 4.10/2.94 tff(2549,plain,
% 4.10/2.94 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s26, c_n1) | (~node11(s26)))),
% 4.10/2.94 inference(quant_inst,[status(thm)],[])).
% 4.10/2.94 tff(2550,plain,
% 4.10/2.94 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s26, c_n1) | (~node11(s26))),
% 4.10/2.94 inference(modus_ponens,[status(thm)],[2549, 2548])).
% 4.10/2.94 tff(2551,plain,
% 4.10/2.94 (~node11(s26)),
% 4.10/2.94 inference(unit_resolution,[status(thm)],[2550, 238, 2547])).
% 4.10/2.94 tff(2552,plain,
% 4.10/2.94 (succ(s26, s27) <=> succ(s26, s27)),
% 4.10/2.94 inference(rewrite,[status(thm)],[])).
% 4.10/2.94 tff(2553,axiom,(succ(s26, s27)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound27')).
% 4.10/2.94 tff(2554,plain,
% 4.10/2.94 (succ(s26, s27)),
% 4.10/2.94 inference(modus_ponens,[status(thm)],[2553, 2552])).
% 4.10/2.94 tff(2555,plain,
% 4.10/2.94 (((~![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))),
% 4.10/2.94 inference(rewrite,[status(thm)],[])).
% 4.10/2.94 tff(2556,plain,
% 4.10/2.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s26, s27)) | trans(s26, s27))),
% 4.10/2.94 inference(quant_inst,[status(thm)],[])).
% 4.10/2.94 tff(2557,plain,
% 4.10/2.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s26, s27)) | trans(s26, s27)),
% 4.10/2.94 inference(modus_ponens,[status(thm)],[2556, 2555])).
% 4.10/2.94 tff(2558,plain,
% 4.10/2.94 (trans(s26, s27)),
% 4.10/2.94 inference(unit_resolution,[status(thm)],[2557, 2554, 32])).
% 4.10/2.94 tff(2559,plain,
% 4.10/2.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s26, s27)) | node14(s26, s27))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s26, s27)) | node14(s26, s27))),
% 4.10/2.94 inference(rewrite,[status(thm)],[])).
% 4.10/2.94 tff(2560,plain,
% 4.10/2.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s26, s27)) | node14(s26, s27))),
% 4.10/2.94 inference(quant_inst,[status(thm)],[])).
% 4.10/2.94 tff(2561,plain,
% 4.10/2.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s26, s27)) | node14(s26, s27)),
% 4.10/2.94 inference(modus_ponens,[status(thm)],[2560, 2559])).
% 4.10/2.94 tff(2562,plain,
% 4.10/2.94 (node14(s26, s27)),
% 4.10/2.94 inference(unit_resolution,[status(thm)],[2561, 46, 2558])).
% 4.10/2.94 tff(2563,plain,
% 4.10/2.94 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s26, c_c2) | node9(s26) | node8(s26) | node10(s26) | node11(s26) | node12(s26) | node13(s26, s27) | (~node14(s26, s27)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s26, c_c2) | node9(s26) | node8(s26) | node10(s26) | node11(s26) | node12(s26) | node13(s26, s27) | (~node14(s26, s27)))),
% 4.10/2.94 inference(rewrite,[status(thm)],[])).
% 4.10/2.94 tff(2564,plain,
% 4.10/2.94 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s26, c_c2) | node9(s26) | node8(s26) | node10(s26) | node11(s26) | node12(s26) | node13(s26, s27) | (~node14(s26, s27)))),
% 4.10/2.94 inference(quant_inst,[status(thm)],[])).
% 4.10/2.94 tff(2565,plain,
% 4.10/2.94 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s26, c_c2) | node9(s26) | node8(s26) | node10(s26) | node11(s26) | node12(s26) | node13(s26, s27) | (~node14(s26, s27))),
% 4.10/2.94 inference(modus_ponens,[status(thm)],[2564, 2563])).
% 4.10/2.94 tff(2566,plain,
% 4.10/2.94 (m_main_v_state2(s26, c_c2) | node9(s26) | node8(s26) | node10(s26) | node11(s26) | node12(s26) | node13(s26, s27)),
% 4.10/2.94 inference(unit_resolution,[status(thm)],[2565, 296, 2562])).
% 4.10/2.94 tff(2567,plain,
% 4.10/2.94 (node13(s26, s27)),
% 4.10/2.94 inference(unit_resolution,[status(thm)],[2566, 2551, 2508, 2504, 2500, 2496, 2479])).
% 4.10/2.94 tff(2568,plain,
% 4.10/2.94 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s26, c_n2) | (~m_main_v_state2(s27, c_n2)) | (~node13(s26, s27)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s26, c_n2) | (~m_main_v_state2(s27, c_n2)) | (~node13(s26, s27)))),
% 4.10/2.94 inference(rewrite,[status(thm)],[])).
% 4.10/2.94 tff(2569,plain,
% 4.10/2.94 (((~node13(s26, s27)) | m_main_v_state2(s26, c_n2) | (~m_main_v_state2(s27, c_n2))) <=> (m_main_v_state2(s26, c_n2) | (~m_main_v_state2(s27, c_n2)) | (~node13(s26, s27)))),
% 4.10/2.94 inference(rewrite,[status(thm)],[])).
% 4.10/2.94 tff(2570,plain,
% 4.10/2.94 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s26, s27)) | m_main_v_state2(s26, c_n2) | (~m_main_v_state2(s27, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s26, c_n2) | (~m_main_v_state2(s27, c_n2)) | (~node13(s26, s27))))),
% 4.10/2.94 inference(monotonicity,[status(thm)],[2569])).
% 4.10/2.94 tff(2571,plain,
% 4.10/2.94 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s26, s27)) | m_main_v_state2(s26, c_n2) | (~m_main_v_state2(s27, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s26, c_n2) | (~m_main_v_state2(s27, c_n2)) | (~node13(s26, s27)))),
% 4.10/2.94 inference(transitivity,[status(thm)],[2570, 2568])).
% 4.10/2.94 tff(2572,plain,
% 4.10/2.94 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s26, s27)) | m_main_v_state2(s26, c_n2) | (~m_main_v_state2(s27, c_n2)))),
% 4.10/2.94 inference(quant_inst,[status(thm)],[])).
% 4.10/2.94 tff(2573,plain,
% 4.10/2.94 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s26, c_n2) | (~m_main_v_state2(s27, c_n2)) | (~node13(s26, s27))),
% 4.10/2.94 inference(modus_ponens,[status(thm)],[2572, 2571])).
% 4.10/2.94 tff(2574,plain,
% 4.10/2.94 (~m_main_v_state2(s27, c_n2)),
% 4.10/2.94 inference(unit_resolution,[status(thm)],[2573, 311, 2492, 2567])).
% 4.10/2.94 tff(2575,plain,
% 4.10/2.94 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s27, c_n2) | (~node9(s27)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s27, c_n2) | (~node9(s27)))),
% 4.10/2.94 inference(rewrite,[status(thm)],[])).
% 4.10/2.94 tff(2576,plain,
% 4.10/2.94 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s27, c_n2) | (~node9(s27)))),
% 4.10/2.94 inference(quant_inst,[status(thm)],[])).
% 4.10/2.94 tff(2577,plain,
% 4.10/2.94 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s27, c_n2) | (~node9(s27))),
% 4.10/2.94 inference(modus_ponens,[status(thm)],[2576, 2575])).
% 4.10/2.94 tff(2578,plain,
% 4.10/2.94 (~node9(s27)),
% 4.10/2.94 inference(unit_resolution,[status(thm)],[2577, 88, 2574])).
% 4.10/2.94 tff(2579,plain,
% 4.10/2.94 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s27, c_n2) | (~node10(s27)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s27, c_n2) | (~node10(s27)))),
% 4.10/2.94 inference(rewrite,[status(thm)],[])).
% 4.10/2.94 tff(2580,plain,
% 4.10/2.94 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s27, c_n2) | (~node10(s27)))),
% 4.10/2.94 inference(quant_inst,[status(thm)],[])).
% 4.10/2.94 tff(2581,plain,
% 4.10/2.94 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s27, c_n2) | (~node10(s27))),
% 4.10/2.94 inference(modus_ponens,[status(thm)],[2580, 2579])).
% 4.10/2.94 tff(2582,plain,
% 4.10/2.94 (~node10(s27)),
% 4.10/2.94 inference(unit_resolution,[status(thm)],[2581, 249, 2574])).
% 4.10/2.94 tff(2583,plain,
% 4.10/2.94 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s26, c_t2)) | m_main_v_state2(s27, c_t2) | (~node13(s26, s27)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s26, c_t2)) | m_main_v_state2(s27, c_t2) | (~node13(s26, s27)))),
% 4.10/2.94 inference(rewrite,[status(thm)],[])).
% 4.10/2.94 tff(2584,plain,
% 4.10/2.94 (((~node13(s26, s27)) | (~m_main_v_state2(s26, c_t2)) | m_main_v_state2(s27, c_t2)) <=> ((~m_main_v_state2(s26, c_t2)) | m_main_v_state2(s27, c_t2) | (~node13(s26, s27)))),
% 4.10/2.94 inference(rewrite,[status(thm)],[])).
% 4.10/2.94 tff(2585,plain,
% 4.10/2.94 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s26, s27)) | (~m_main_v_state2(s26, c_t2)) | m_main_v_state2(s27, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s26, c_t2)) | m_main_v_state2(s27, c_t2) | (~node13(s26, s27))))),
% 4.10/2.94 inference(monotonicity,[status(thm)],[2584])).
% 4.10/2.94 tff(2586,plain,
% 4.10/2.94 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s26, s27)) | (~m_main_v_state2(s26, c_t2)) | m_main_v_state2(s27, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s26, c_t2)) | m_main_v_state2(s27, c_t2) | (~node13(s26, s27)))),
% 4.10/2.95 inference(transitivity,[status(thm)],[2585, 2583])).
% 4.10/2.95 tff(2587,plain,
% 4.10/2.95 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s26, s27)) | (~m_main_v_state2(s26, c_t2)) | m_main_v_state2(s27, c_t2))),
% 4.10/2.95 inference(quant_inst,[status(thm)],[])).
% 4.10/2.95 tff(2588,plain,
% 4.10/2.95 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s26, c_t2)) | m_main_v_state2(s27, c_t2) | (~node13(s26, s27))),
% 4.10/2.95 inference(modus_ponens,[status(thm)],[2587, 2586])).
% 4.10/2.95 tff(2589,plain,
% 4.10/2.95 (m_main_v_state2(s27, c_t2)),
% 4.10/2.95 inference(unit_resolution,[status(thm)],[2588, 518, 2488, 2567])).
% 4.10/2.95 tff(2590,plain,
% 4.10/2.95 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s26, c_t1)) | (~m_main_v_state1(s26, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s26, c_t1)) | (~m_main_v_state1(s26, c_c1)))),
% 4.10/2.95 inference(rewrite,[status(thm)],[])).
% 4.10/2.95 tff(2591,plain,
% 4.10/2.95 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s26, c_t1)) | (~m_main_v_state1(s26, c_c1)))),
% 4.10/2.95 inference(quant_inst,[status(thm)],[])).
% 4.10/2.95 tff(2592,plain,
% 4.10/2.95 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s26, c_t1)) | (~m_main_v_state1(s26, c_c1))),
% 4.10/2.95 inference(modus_ponens,[status(thm)],[2591, 2590])).
% 4.10/2.95 tff(2593,plain,
% 4.10/2.95 (~m_main_v_state1(s26, c_t1)),
% 4.10/2.95 inference(unit_resolution,[status(thm)],[2592, 539, 2543])).
% 4.10/2.95 tff(2594,plain,
% 4.10/2.95 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s26, c_t1) | (~node5(s26)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s26, c_t1) | (~node5(s26)))),
% 4.10/2.95 inference(rewrite,[status(thm)],[])).
% 4.10/2.95 tff(2595,plain,
% 4.10/2.95 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s26, c_t1) | (~node5(s26)))),
% 4.10/2.95 inference(quant_inst,[status(thm)],[])).
% 4.10/2.95 tff(2596,plain,
% 4.10/2.95 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s26, c_t1) | (~node5(s26))),
% 4.10/2.95 inference(modus_ponens,[status(thm)],[2595, 2594])).
% 4.10/2.95 tff(2597,plain,
% 4.10/2.95 (~node5(s26)),
% 4.10/2.95 inference(unit_resolution,[status(thm)],[2596, 550, 2593])).
% 4.10/2.95 tff(2598,plain,
% 4.10/2.95 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s26, c_n2) | (~node4(s26)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s26, c_n2) | (~node4(s26)))),
% 4.10/2.95 inference(rewrite,[status(thm)],[])).
% 4.10/2.95 tff(2599,plain,
% 4.10/2.95 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s26, c_n2) | (~node4(s26)))),
% 4.10/2.95 inference(quant_inst,[status(thm)],[])).
% 4.10/2.95 tff(2600,plain,
% 4.10/2.95 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s26, c_n2) | (~node4(s26))),
% 4.10/2.95 inference(modus_ponens,[status(thm)],[2599, 2598])).
% 4.10/2.95 tff(2601,plain,
% 4.10/2.95 (~node4(s26)),
% 4.10/2.95 inference(unit_resolution,[status(thm)],[2600, 388, 2492])).
% 4.10/2.95 tff(2602,plain,
% 4.10/2.95 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s26, c_c2) | (~node3(s26)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s26, c_c2) | (~node3(s26)))),
% 4.10/2.95 inference(rewrite,[status(thm)],[])).
% 4.10/2.95 tff(2603,plain,
% 4.10/2.95 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s26, c_c2) | (~node3(s26)))),
% 4.10/2.95 inference(quant_inst,[status(thm)],[])).
% 4.10/2.95 tff(2604,plain,
% 4.10/2.95 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s26, c_c2) | (~node3(s26))),
% 4.10/2.95 inference(modus_ponens,[status(thm)],[2603, 2602])).
% 4.10/2.95 tff(2605,plain,
% 4.10/2.95 (~node3(s26)),
% 4.10/2.95 inference(unit_resolution,[status(thm)],[2604, 399, 2508])).
% 4.10/2.95 tff(2606,plain,
% 4.10/2.95 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s26, c_n2) | (~node2(s26)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s26, c_n2) | (~node2(s26)))),
% 4.10/2.95 inference(rewrite,[status(thm)],[])).
% 4.10/2.95 tff(2607,plain,
% 4.10/2.95 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s26, c_n2) | (~node2(s26)))),
% 4.10/2.95 inference(quant_inst,[status(thm)],[])).
% 4.10/2.95 tff(2608,plain,
% 4.10/2.95 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s26, c_n2) | (~node2(s26))),
% 4.10/2.95 inference(modus_ponens,[status(thm)],[2607, 2606])).
% 4.10/2.95 tff(2609,plain,
% 4.10/2.95 (~node2(s26)),
% 4.10/2.95 inference(unit_resolution,[status(thm)],[2608, 410, 2492])).
% 4.10/2.95 tff(2610,plain,
% 4.10/2.95 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s26, c_n1) | (~node1(s26)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s26, c_n1) | (~node1(s26)))),
% 4.10/2.95 inference(rewrite,[status(thm)],[])).
% 4.10/2.95 tff(2611,plain,
% 4.10/2.95 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s26, c_n1) | (~node1(s26)))),
% 4.10/2.95 inference(quant_inst,[status(thm)],[])).
% 4.10/2.95 tff(2612,plain,
% 4.10/2.95 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s26, c_n1) | (~node1(s26))),
% 4.10/2.95 inference(modus_ponens,[status(thm)],[2611, 2610])).
% 4.10/2.95 tff(2613,plain,
% 4.10/2.95 (~node1(s26)),
% 4.10/2.95 inference(unit_resolution,[status(thm)],[2612, 421, 2547])).
% 4.10/2.95 tff(2614,plain,
% 4.10/2.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s26, s27)) | node7(s26, s27))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s26, s27)) | node7(s26, s27))),
% 4.10/2.95 inference(rewrite,[status(thm)],[])).
% 4.10/2.95 tff(2615,plain,
% 4.10/2.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s26, s27)) | node7(s26, s27))),
% 4.10/2.95 inference(quant_inst,[status(thm)],[])).
% 4.10/2.95 tff(2616,plain,
% 4.10/2.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s26, s27)) | node7(s26, s27)),
% 4.10/2.95 inference(modus_ponens,[status(thm)],[2615, 2614])).
% 4.10/2.95 tff(2617,plain,
% 4.10/2.95 (node7(s26, s27)),
% 4.10/2.95 inference(unit_resolution,[status(thm)],[2616, 206, 2558])).
% 4.10/2.95 tff(2618,plain,
% 4.10/2.95 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s27, c_n1) | (~m_main_v_state1(s26, c_c1)) | node1(s26) | node2(s26) | node3(s26) | node4(s26) | node5(s26) | (~node7(s26, s27)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s27, c_n1) | (~m_main_v_state1(s26, c_c1)) | node1(s26) | node2(s26) | node3(s26) | node4(s26) | node5(s26) | (~node7(s26, s27)))),
% 4.10/2.95 inference(rewrite,[status(thm)],[])).
% 4.10/2.95 tff(2619,plain,
% 4.10/2.95 (((~m_main_v_state1(s26, c_c1)) | node1(s26) | node2(s26) | node3(s26) | node4(s26) | node5(s26) | (~node7(s26, s27)) | m_main_v_state1(s27, c_n1)) <=> (m_main_v_state1(s27, c_n1) | (~m_main_v_state1(s26, c_c1)) | node1(s26) | node2(s26) | node3(s26) | node4(s26) | node5(s26) | (~node7(s26, s27)))),
% 4.10/2.95 inference(rewrite,[status(thm)],[])).
% 4.10/2.95 tff(2620,plain,
% 4.10/2.95 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s26, c_c1)) | node1(s26) | node2(s26) | node3(s26) | node4(s26) | node5(s26) | (~node7(s26, s27)) | m_main_v_state1(s27, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s27, c_n1) | (~m_main_v_state1(s26, c_c1)) | node1(s26) | node2(s26) | node3(s26) | node4(s26) | node5(s26) | (~node7(s26, s27))))),
% 4.10/2.95 inference(monotonicity,[status(thm)],[2619])).
% 4.10/2.95 tff(2621,plain,
% 4.10/2.95 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s26, c_c1)) | node1(s26) | node2(s26) | node3(s26) | node4(s26) | node5(s26) | (~node7(s26, s27)) | m_main_v_state1(s27, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s27, c_n1) | (~m_main_v_state1(s26, c_c1)) | node1(s26) | node2(s26) | node3(s26) | node4(s26) | node5(s26) | (~node7(s26, s27)))),
% 4.10/2.95 inference(transitivity,[status(thm)],[2620, 2618])).
% 4.10/2.95 tff(2622,plain,
% 4.10/2.95 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s26, c_c1)) | node1(s26) | node2(s26) | node3(s26) | node4(s26) | node5(s26) | (~node7(s26, s27)) | m_main_v_state1(s27, c_n1))),
% 4.10/2.95 inference(quant_inst,[status(thm)],[])).
% 4.10/2.95 tff(2623,plain,
% 4.10/2.95 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s27, c_n1) | (~m_main_v_state1(s26, c_c1)) | node1(s26) | node2(s26) | node3(s26) | node4(s26) | node5(s26) | (~node7(s26, s27))),
% 4.10/2.95 inference(modus_ponens,[status(thm)],[2622, 2621])).
% 4.10/2.95 tff(2624,plain,
% 4.10/2.95 (m_main_v_state1(s27, c_n1) | (~m_main_v_state1(s26, c_c1)) | node1(s26) | node2(s26) | node3(s26) | node4(s26) | node5(s26)),
% 4.10/2.95 inference(unit_resolution,[status(thm)],[2623, 584, 2617])).
% 4.10/2.95 tff(2625,plain,
% 4.10/2.95 (m_main_v_state1(s27, c_n1)),
% 4.10/2.95 inference(unit_resolution,[status(thm)],[2624, 2613, 2543, 2609, 2605, 2601, 2597])).
% 4.10/2.95 tff(2626,plain,
% 4.10/2.95 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s27, c_n2) | (~node8(s27)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s27, c_n2) | (~node8(s27)))),
% 4.10/2.95 inference(rewrite,[status(thm)],[])).
% 4.10/2.95 tff(2627,plain,
% 4.10/2.95 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s27, c_n2) | (~node8(s27)))),
% 4.10/2.95 inference(quant_inst,[status(thm)],[])).
% 4.10/2.95 tff(2628,plain,
% 4.10/2.95 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s27, c_n2) | (~node8(s27))),
% 4.10/2.95 inference(modus_ponens,[status(thm)],[2627, 2626])).
% 4.10/2.95 tff(2629,plain,
% 4.10/2.95 (~node8(s27)),
% 4.10/2.95 inference(unit_resolution,[status(thm)],[2628, 271, 2574])).
% 4.10/2.95 tff(2630,plain,
% 4.10/2.95 (succ(s27, s28) <=> succ(s27, s28)),
% 4.10/2.95 inference(rewrite,[status(thm)],[])).
% 4.10/2.95 tff(2631,axiom,(succ(s27, s28)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound28')).
% 4.10/2.95 tff(2632,plain,
% 4.10/2.95 (succ(s27, s28)),
% 4.10/2.95 inference(modus_ponens,[status(thm)],[2631, 2630])).
% 4.10/2.95 tff(2633,plain,
% 4.10/2.95 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s27, s28)) | trans(s27, s28))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s27, s28)) | trans(s27, s28))),
% 4.10/2.95 inference(rewrite,[status(thm)],[])).
% 4.10/2.95 tff(2634,plain,
% 4.10/2.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s27, s28)) | trans(s27, s28))),
% 4.10/2.95 inference(quant_inst,[status(thm)],[])).
% 4.10/2.95 tff(2635,plain,
% 4.10/2.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s27, s28)) | trans(s27, s28)),
% 4.10/2.95 inference(modus_ponens,[status(thm)],[2634, 2633])).
% 4.10/2.95 tff(2636,plain,
% 4.10/2.95 (trans(s27, s28)),
% 4.10/2.95 inference(unit_resolution,[status(thm)],[2635, 2632, 32])).
% 4.10/2.95 tff(2637,plain,
% 4.10/2.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s27, s28)) | node14(s27, s28))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s27, s28)) | node14(s27, s28))),
% 4.10/2.95 inference(rewrite,[status(thm)],[])).
% 4.10/2.95 tff(2638,plain,
% 4.10/2.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s27, s28)) | node14(s27, s28))),
% 4.10/2.95 inference(quant_inst,[status(thm)],[])).
% 4.10/2.95 tff(2639,plain,
% 4.10/2.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s27, s28)) | node14(s27, s28)),
% 4.10/2.95 inference(modus_ponens,[status(thm)],[2638, 2637])).
% 4.10/2.95 tff(2640,plain,
% 4.10/2.95 (node14(s27, s28)),
% 4.10/2.95 inference(unit_resolution,[status(thm)],[2639, 46, 2636])).
% 4.10/2.95 tff(2641,plain,
% 4.10/2.95 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s27, c_n1)) | (~m_main_v_state2(s27, c_t2)) | node9(s27) | node8(s27) | node10(s27) | (~node14(s27, s28)) | m_main_v_state2(s28, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s27, c_n1)) | (~m_main_v_state2(s27, c_t2)) | node9(s27) | node8(s27) | node10(s27) | (~node14(s27, s28)) | m_main_v_state2(s28, c_c2))),
% 4.10/2.95 inference(rewrite,[status(thm)],[])).
% 4.10/2.95 tff(2642,plain,
% 4.10/2.95 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s27, c_n1)) | (~m_main_v_state2(s27, c_t2)) | node9(s27) | node8(s27) | node10(s27) | (~node14(s27, s28)) | m_main_v_state2(s28, c_c2))),
% 4.10/2.95 inference(quant_inst,[status(thm)],[])).
% 4.10/2.95 tff(2643,plain,
% 4.10/2.95 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s27, c_n1)) | (~m_main_v_state2(s27, c_t2)) | node9(s27) | node8(s27) | node10(s27) | (~node14(s27, s28)) | m_main_v_state2(s28, c_c2)),
% 4.10/2.95 inference(modus_ponens,[status(thm)],[2642, 2641])).
% 4.10/2.95 tff(2644,plain,
% 4.10/2.95 ((~m_main_v_state1(s27, c_n1)) | (~m_main_v_state2(s27, c_t2)) | node9(s27) | node8(s27) | node10(s27) | m_main_v_state2(s28, c_c2)),
% 4.10/2.95 inference(unit_resolution,[status(thm)],[2643, 617, 2640])).
% 4.10/2.95 tff(2645,plain,
% 4.10/2.95 (m_main_v_state2(s28, c_c2)),
% 4.10/2.95 inference(unit_resolution,[status(thm)],[2644, 2629, 2625, 2589, 2582, 2578])).
% 4.10/2.95 tff(2646,plain,
% 4.10/2.95 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s28, c_t2)) | (~m_main_v_state2(s28, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s28, c_t2)) | (~m_main_v_state2(s28, c_c2)))),
% 4.10/2.95 inference(rewrite,[status(thm)],[])).
% 4.10/2.95 tff(2647,plain,
% 4.10/2.95 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s28, c_t2)) | (~m_main_v_state2(s28, c_c2)))),
% 4.10/2.95 inference(quant_inst,[status(thm)],[])).
% 4.10/2.95 tff(2648,plain,
% 4.10/2.95 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s28, c_t2)) | (~m_main_v_state2(s28, c_c2))),
% 4.10/2.95 inference(modus_ponens,[status(thm)],[2647, 2646])).
% 4.10/2.95 tff(2649,plain,
% 4.10/2.95 (~m_main_v_state2(s28, c_t2)),
% 4.10/2.95 inference(unit_resolution,[status(thm)],[2648, 260, 2645])).
% 4.10/2.95 tff(2650,plain,
% 4.10/2.95 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s28, c_t2) | (~node12(s28)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s28, c_t2) | (~node12(s28)))),
% 4.10/2.95 inference(rewrite,[status(thm)],[])).
% 4.10/2.95 tff(2651,plain,
% 4.10/2.95 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s28, c_t2) | (~node12(s28)))),
% 4.10/2.95 inference(quant_inst,[status(thm)],[])).
% 4.10/2.95 tff(2652,plain,
% 4.10/2.95 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s28, c_t2) | (~node12(s28))),
% 4.10/2.95 inference(modus_ponens,[status(thm)],[2651, 2650])).
% 4.10/2.95 tff(2653,plain,
% 4.10/2.95 (~node12(s28)),
% 4.10/2.95 inference(unit_resolution,[status(thm)],[2652, 633, 2649])).
% 4.10/2.95 tff(2654,plain,
% 4.10/2.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s27, s28)) | node7(s27, s28))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s27, s28)) | node7(s27, s28))),
% 4.10/2.95 inference(rewrite,[status(thm)],[])).
% 4.10/2.95 tff(2655,plain,
% 4.10/2.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s27, s28)) | node7(s27, s28))),
% 4.10/2.95 inference(quant_inst,[status(thm)],[])).
% 4.10/2.95 tff(2656,plain,
% 4.10/2.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s27, s28)) | node7(s27, s28)),
% 4.10/2.95 inference(modus_ponens,[status(thm)],[2655, 2654])).
% 4.10/2.95 tff(2657,plain,
% 4.10/2.95 (node7(s27, s28)),
% 4.10/2.95 inference(unit_resolution,[status(thm)],[2656, 206, 2636])).
% 4.10/2.95 tff(2658,plain,
% 4.10/2.95 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s27, c_n1)) | (~m_main_v_state2(s27, c_t2)) | (~node7(s27, s28)) | m_main_v_state1(s28, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s27, c_n1)) | (~m_main_v_state2(s27, c_t2)) | (~node7(s27, s28)) | m_main_v_state1(s28, c_t1))),
% 4.10/2.95 inference(rewrite,[status(thm)],[])).
% 4.10/2.95 tff(2659,plain,
% 4.10/2.95 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s27, c_n1)) | (~m_main_v_state2(s27, c_t2)) | (~node7(s27, s28)) | m_main_v_state1(s28, c_t1))),
% 4.10/2.95 inference(quant_inst,[status(thm)],[])).
% 4.10/2.95 tff(2660,plain,
% 4.10/2.95 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s27, c_n1)) | (~m_main_v_state2(s27, c_t2)) | (~node7(s27, s28)) | m_main_v_state1(s28, c_t1)),
% 4.10/2.95 inference(modus_ponens,[status(thm)],[2659, 2658])).
% 4.10/2.95 tff(2661,plain,
% 4.10/2.95 ((~m_main_v_state1(s27, c_n1)) | (~m_main_v_state2(s27, c_t2)) | m_main_v_state1(s28, c_t1)),
% 4.10/2.95 inference(unit_resolution,[status(thm)],[2660, 651, 2657])).
% 4.10/2.95 tff(2662,plain,
% 4.10/2.95 (m_main_v_state1(s28, c_t1)),
% 4.10/2.95 inference(unit_resolution,[status(thm)],[2661, 2589, 2625])).
% 4.10/2.95 tff(2663,plain,
% 4.10/2.95 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s28, c_n1)) | (~m_main_v_state1(s28, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s28, c_n1)) | (~m_main_v_state1(s28, c_t1)))),
% 4.10/2.95 inference(rewrite,[status(thm)],[])).
% 4.10/2.95 tff(2664,plain,
% 4.10/2.95 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s28, c_n1)) | (~m_main_v_state1(s28, c_t1)))),
% 4.10/2.95 inference(quant_inst,[status(thm)],[])).
% 4.10/2.95 tff(2665,plain,
% 4.10/2.95 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s28, c_n1)) | (~m_main_v_state1(s28, c_t1))),
% 4.10/2.95 inference(modus_ponens,[status(thm)],[2664, 2663])).
% 4.10/2.95 tff(2666,plain,
% 4.10/2.95 (~m_main_v_state1(s28, c_n1)),
% 4.10/2.95 inference(unit_resolution,[status(thm)],[2665, 10, 2662])).
% 4.10/2.95 tff(2667,plain,
% 4.10/2.95 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s28, c_n1) | (~node11(s28)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s28, c_n1) | (~node11(s28)))),
% 4.10/2.95 inference(rewrite,[status(thm)],[])).
% 4.10/2.95 tff(2668,plain,
% 4.10/2.95 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s28, c_n1) | (~node11(s28)))),
% 4.10/2.95 inference(quant_inst,[status(thm)],[])).
% 4.10/2.95 tff(2669,plain,
% 4.10/2.95 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s28, c_n1) | (~node11(s28))),
% 4.10/2.95 inference(modus_ponens,[status(thm)],[2668, 2667])).
% 4.10/2.95 tff(2670,plain,
% 4.10/2.95 (~node11(s28)),
% 4.10/2.95 inference(unit_resolution,[status(thm)],[2669, 238, 2666])).
% 4.10/2.95 tff(2671,plain,
% 4.10/2.95 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s28, c_t1)) | (~m_main_v_state1(s28, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s28, c_t1)) | (~m_main_v_state1(s28, c_c1)))),
% 4.10/2.95 inference(rewrite,[status(thm)],[])).
% 4.10/2.95 tff(2672,plain,
% 4.10/2.95 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s28, c_t1)) | (~m_main_v_state1(s28, c_c1)))),
% 4.10/2.95 inference(quant_inst,[status(thm)],[])).
% 4.10/2.95 tff(2673,plain,
% 4.10/2.95 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s28, c_t1)) | (~m_main_v_state1(s28, c_c1))),
% 4.10/2.95 inference(modus_ponens,[status(thm)],[2672, 2671])).
% 4.10/2.95 tff(2674,plain,
% 4.10/2.95 (~m_main_v_state1(s28, c_c1)),
% 4.10/2.95 inference(unit_resolution,[status(thm)],[2673, 539, 2662])).
% 4.10/2.95 tff(2675,plain,
% 4.10/2.95 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s28, c_c1) | (~node10(s28)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s28, c_c1) | (~node10(s28)))),
% 4.10/2.95 inference(rewrite,[status(thm)],[])).
% 4.10/2.95 tff(2676,plain,
% 4.10/2.95 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s28, c_c1) | (~node10(s28)))),
% 4.10/2.95 inference(quant_inst,[status(thm)],[])).
% 4.10/2.95 tff(2677,plain,
% 4.10/2.95 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s28, c_c1) | (~node10(s28))),
% 4.10/2.95 inference(modus_ponens,[status(thm)],[2676, 2675])).
% 4.10/2.95 tff(2678,plain,
% 4.10/2.95 (~node10(s28)),
% 4.10/2.95 inference(unit_resolution,[status(thm)],[2677, 675, 2674])).
% 4.10/2.95 tff(2679,plain,
% 4.10/2.95 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s28, c_n1) | (~node9(s28)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s28, c_n1) | (~node9(s28)))),
% 4.10/2.95 inference(rewrite,[status(thm)],[])).
% 4.10/2.95 tff(2680,plain,
% 4.10/2.95 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s28, c_n1) | (~node9(s28)))),
% 4.10/2.95 inference(quant_inst,[status(thm)],[])).
% 4.10/2.95 tff(2681,plain,
% 4.10/2.95 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s28, c_n1) | (~node9(s28))),
% 4.10/2.95 inference(modus_ponens,[status(thm)],[2680, 2679])).
% 4.10/2.95 tff(2682,plain,
% 4.10/2.95 (~node9(s28)),
% 4.10/2.95 inference(unit_resolution,[status(thm)],[2681, 686, 2666])).
% 4.10/2.95 tff(2683,plain,
% 4.10/2.95 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s28, c_n2)) | (~m_main_v_state2(s28, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s28, c_n2)) | (~m_main_v_state2(s28, c_c2)))),
% 4.10/2.95 inference(rewrite,[status(thm)],[])).
% 4.10/2.95 tff(2684,plain,
% 4.10/2.95 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s28, c_n2)) | (~m_main_v_state2(s28, c_c2)))),
% 4.10/2.95 inference(quant_inst,[status(thm)],[])).
% 4.10/2.95 tff(2685,plain,
% 4.10/2.95 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s28, c_n2)) | (~m_main_v_state2(s28, c_c2))),
% 4.10/2.95 inference(modus_ponens,[status(thm)],[2684, 2683])).
% 4.10/2.95 tff(2686,plain,
% 4.10/2.95 (~m_main_v_state2(s28, c_n2)),
% 4.10/2.95 inference(unit_resolution,[status(thm)],[2685, 697, 2645])).
% 4.10/2.95 tff(2687,plain,
% 4.10/2.95 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s28, c_n2) | (~node8(s28)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s28, c_n2) | (~node8(s28)))),
% 4.10/2.95 inference(rewrite,[status(thm)],[])).
% 4.10/2.95 tff(2688,plain,
% 4.10/2.95 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s28, c_n2) | (~node8(s28)))),
% 4.10/2.95 inference(quant_inst,[status(thm)],[])).
% 4.10/2.95 tff(2689,plain,
% 4.10/2.95 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s28, c_n2) | (~node8(s28))),
% 4.10/2.95 inference(modus_ponens,[status(thm)],[2688, 2687])).
% 4.10/2.95 tff(2690,plain,
% 4.10/2.95 (~node8(s28)),
% 4.10/2.95 inference(unit_resolution,[status(thm)],[2689, 271, 2686])).
% 4.10/2.95 tff(2691,plain,
% 4.10/2.95 (succ(s28, s29) <=> succ(s28, s29)),
% 4.10/2.95 inference(rewrite,[status(thm)],[])).
% 4.10/2.95 tff(2692,axiom,(succ(s28, s29)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound29')).
% 4.10/2.95 tff(2693,plain,
% 4.10/2.95 (succ(s28, s29)),
% 4.10/2.95 inference(modus_ponens,[status(thm)],[2692, 2691])).
% 4.10/2.95 tff(2694,plain,
% 4.10/2.95 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s28, s29)) | trans(s28, s29))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s28, s29)) | trans(s28, s29))),
% 4.10/2.95 inference(rewrite,[status(thm)],[])).
% 4.10/2.95 tff(2695,plain,
% 4.10/2.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s28, s29)) | trans(s28, s29))),
% 4.10/2.95 inference(quant_inst,[status(thm)],[])).
% 4.10/2.95 tff(2696,plain,
% 4.10/2.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s28, s29)) | trans(s28, s29)),
% 4.10/2.95 inference(modus_ponens,[status(thm)],[2695, 2694])).
% 4.10/2.95 tff(2697,plain,
% 4.10/2.95 (trans(s28, s29)),
% 4.10/2.95 inference(unit_resolution,[status(thm)],[2696, 2693, 32])).
% 4.10/2.95 tff(2698,plain,
% 4.10/2.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s28, s29)) | node14(s28, s29))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s28, s29)) | node14(s28, s29))),
% 4.10/2.95 inference(rewrite,[status(thm)],[])).
% 4.10/2.95 tff(2699,plain,
% 4.10/2.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s28, s29)) | node14(s28, s29))),
% 4.10/2.95 inference(quant_inst,[status(thm)],[])).
% 4.10/2.95 tff(2700,plain,
% 4.10/2.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s28, s29)) | node14(s28, s29)),
% 4.10/2.95 inference(modus_ponens,[status(thm)],[2699, 2698])).
% 4.10/2.95 tff(2701,plain,
% 4.10/2.95 (node14(s28, s29)),
% 4.10/2.95 inference(unit_resolution,[status(thm)],[2700, 46, 2697])).
% 4.10/2.95 tff(2702,plain,
% 4.10/2.95 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s29, c_n2) | node9(s28) | node8(s28) | node10(s28) | node11(s28) | node12(s28) | (~node14(s28, s29)) | (~m_main_v_state2(s28, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s29, c_n2) | node9(s28) | node8(s28) | node10(s28) | node11(s28) | node12(s28) | (~node14(s28, s29)) | (~m_main_v_state2(s28, c_c2)))),
% 4.10/2.95 inference(rewrite,[status(thm)],[])).
% 4.10/2.95 tff(2703,plain,
% 4.10/2.95 (((~m_main_v_state2(s28, c_c2)) | node9(s28) | node8(s28) | node10(s28) | node11(s28) | node12(s28) | (~node14(s28, s29)) | m_main_v_state2(s29, c_n2)) <=> (m_main_v_state2(s29, c_n2) | node9(s28) | node8(s28) | node10(s28) | node11(s28) | node12(s28) | (~node14(s28, s29)) | (~m_main_v_state2(s28, c_c2)))),
% 4.10/2.95 inference(rewrite,[status(thm)],[])).
% 4.10/2.95 tff(2704,plain,
% 4.10/2.95 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s28, c_c2)) | node9(s28) | node8(s28) | node10(s28) | node11(s28) | node12(s28) | (~node14(s28, s29)) | m_main_v_state2(s29, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s29, c_n2) | node9(s28) | node8(s28) | node10(s28) | node11(s28) | node12(s28) | (~node14(s28, s29)) | (~m_main_v_state2(s28, c_c2))))),
% 4.10/2.95 inference(monotonicity,[status(thm)],[2703])).
% 4.10/2.95 tff(2705,plain,
% 4.10/2.95 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s28, c_c2)) | node9(s28) | node8(s28) | node10(s28) | node11(s28) | node12(s28) | (~node14(s28, s29)) | m_main_v_state2(s29, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s29, c_n2) | node9(s28) | node8(s28) | node10(s28) | node11(s28) | node12(s28) | (~node14(s28, s29)) | (~m_main_v_state2(s28, c_c2)))),
% 4.10/2.95 inference(transitivity,[status(thm)],[2704, 2702])).
% 4.10/2.95 tff(2706,plain,
% 4.10/2.95 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s28, c_c2)) | node9(s28) | node8(s28) | node10(s28) | node11(s28) | node12(s28) | (~node14(s28, s29)) | m_main_v_state2(s29, c_n2))),
% 4.10/2.95 inference(quant_inst,[status(thm)],[])).
% 4.10/2.95 tff(2707,plain,
% 4.10/2.95 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s29, c_n2) | node9(s28) | node8(s28) | node10(s28) | node11(s28) | node12(s28) | (~node14(s28, s29)) | (~m_main_v_state2(s28, c_c2))),
% 4.10/2.95 inference(modus_ponens,[status(thm)],[2706, 2705])).
% 4.10/2.95 tff(2708,plain,
% 4.10/2.95 (m_main_v_state2(s29, c_n2) | node9(s28) | node8(s28) | node10(s28) | node11(s28) | node12(s28) | (~m_main_v_state2(s28, c_c2))),
% 4.10/2.95 inference(unit_resolution,[status(thm)],[2707, 726, 2701])).
% 4.10/2.95 tff(2709,plain,
% 4.10/2.95 (m_main_v_state2(s29, c_n2)),
% 4.10/2.95 inference(unit_resolution,[status(thm)],[2708, 2690, 2645, 2682, 2678, 2670, 2653])).
% 4.10/2.95 tff(2710,plain,
% 4.10/2.95 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s29, c_n2)) | (~m_main_v_state2(s29, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s29, c_n2)) | (~m_main_v_state2(s29, c_c2)))),
% 4.10/2.95 inference(rewrite,[status(thm)],[])).
% 4.10/2.96 tff(2711,plain,
% 4.10/2.96 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s29, c_n2)) | (~m_main_v_state2(s29, c_c2)))),
% 4.10/2.96 inference(quant_inst,[status(thm)],[])).
% 4.10/2.96 tff(2712,plain,
% 4.10/2.96 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s29, c_n2)) | (~m_main_v_state2(s29, c_c2))),
% 4.10/2.96 inference(modus_ponens,[status(thm)],[2711, 2710])).
% 4.10/2.96 tff(2713,plain,
% 4.10/2.96 (~m_main_v_state2(s29, c_c2)),
% 4.10/2.96 inference(unit_resolution,[status(thm)],[2712, 697, 2709])).
% 4.10/2.96 tff(2714,plain,
% 4.10/2.96 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s29, c_c2) | (~node3(s29)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s29, c_c2) | (~node3(s29)))),
% 4.10/2.96 inference(rewrite,[status(thm)],[])).
% 4.10/2.96 tff(2715,plain,
% 4.10/2.96 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s29, c_c2) | (~node3(s29)))),
% 4.10/2.96 inference(quant_inst,[status(thm)],[])).
% 4.10/2.96 tff(2716,plain,
% 4.10/2.96 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s29, c_c2) | (~node3(s29))),
% 4.10/2.96 inference(modus_ponens,[status(thm)],[2715, 2714])).
% 4.10/2.96 tff(2717,plain,
% 4.10/2.96 (~node3(s29)),
% 4.10/2.96 inference(unit_resolution,[status(thm)],[2716, 399, 2713])).
% 4.10/2.96 tff(2718,plain,
% 4.10/2.96 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s28, c_n1) | (~node1(s28)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s28, c_n1) | (~node1(s28)))),
% 4.10/2.96 inference(rewrite,[status(thm)],[])).
% 4.10/2.96 tff(2719,plain,
% 4.10/2.96 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s28, c_n1) | (~node1(s28)))),
% 4.10/2.96 inference(quant_inst,[status(thm)],[])).
% 4.10/2.96 tff(2720,plain,
% 4.10/2.96 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s28, c_n1) | (~node1(s28))),
% 4.10/2.96 inference(modus_ponens,[status(thm)],[2719, 2718])).
% 4.10/2.96 tff(2721,plain,
% 4.10/2.96 (~node1(s28)),
% 4.10/2.96 inference(unit_resolution,[status(thm)],[2720, 421, 2666])).
% 4.10/2.96 tff(2722,plain,
% 4.10/2.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s27, s28)) | node18(s27, s28))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s27, s28)) | node18(s27, s28))),
% 4.10/2.96 inference(rewrite,[status(thm)],[])).
% 4.10/2.96 tff(2723,plain,
% 4.10/2.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s27, s28)) | node18(s27, s28))),
% 4.10/2.96 inference(quant_inst,[status(thm)],[])).
% 4.10/2.96 tff(2724,plain,
% 4.10/2.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s27, s28)) | node18(s27, s28)),
% 4.10/2.96 inference(modus_ponens,[status(thm)],[2723, 2722])).
% 4.10/2.96 tff(2725,plain,
% 4.10/2.96 (node18(s27, s28)),
% 4.10/2.96 inference(unit_resolution,[status(thm)],[2724, 125, 2636])).
% 4.10/2.96 tff(2726,plain,
% 4.10/2.96 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s27, c_n1)) | (~m_main_v_state2(s27, c_t2)) | (~node18(s27, s28)) | m_main_v_turn(s28, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s27, c_n1)) | (~m_main_v_state2(s27, c_t2)) | (~node18(s27, s28)) | m_main_v_turn(s28, c_2))),
% 4.10/2.96 inference(rewrite,[status(thm)],[])).
% 4.10/2.96 tff(2727,plain,
% 4.10/2.96 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s27, c_n1)) | (~m_main_v_state2(s27, c_t2)) | (~node18(s27, s28)) | m_main_v_turn(s28, c_2))),
% 4.10/2.96 inference(quant_inst,[status(thm)],[])).
% 4.10/2.96 tff(2728,plain,
% 4.10/2.96 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s27, c_n1)) | (~m_main_v_state2(s27, c_t2)) | (~node18(s27, s28)) | m_main_v_turn(s28, c_2)),
% 4.10/2.96 inference(modus_ponens,[status(thm)],[2727, 2726])).
% 4.10/2.96 tff(2729,plain,
% 4.10/2.96 ((~m_main_v_state1(s27, c_n1)) | (~m_main_v_state2(s27, c_t2)) | m_main_v_turn(s28, c_2)),
% 4.10/2.96 inference(unit_resolution,[status(thm)],[2728, 760, 2725])).
% 4.10/2.96 tff(2730,plain,
% 4.10/2.96 (m_main_v_turn(s28, c_2)),
% 4.10/2.96 inference(unit_resolution,[status(thm)],[2729, 2589, 2625])).
% 4.10/2.96 tff(2731,plain,
% 4.10/2.96 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s28, c_1)) | (~m_main_v_turn(s28, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s28, c_1)) | (~m_main_v_turn(s28, c_2)))),
% 4.10/2.96 inference(rewrite,[status(thm)],[])).
% 4.10/2.96 tff(2732,plain,
% 4.10/2.96 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s28, c_1)) | (~m_main_v_turn(s28, c_2)))),
% 4.10/2.96 inference(quant_inst,[status(thm)],[])).
% 4.10/2.96 tff(2733,plain,
% 4.10/2.96 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s28, c_1)) | (~m_main_v_turn(s28, c_2))),
% 4.10/2.96 inference(modus_ponens,[status(thm)],[2732, 2731])).
% 4.10/2.96 tff(2734,plain,
% 4.10/2.96 (~m_main_v_turn(s28, c_1)),
% 4.10/2.96 inference(unit_resolution,[status(thm)],[2733, 156, 2730])).
% 4.10/2.96 tff(2735,plain,
% 4.10/2.96 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s28, c_1) | (~node5(s28)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s28, c_1) | (~node5(s28)))),
% 4.10/2.96 inference(rewrite,[status(thm)],[])).
% 4.10/2.96 tff(2736,plain,
% 4.10/2.96 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s28, c_1) | (~node5(s28)))),
% 4.10/2.96 inference(quant_inst,[status(thm)],[])).
% 4.10/2.96 tff(2737,plain,
% 4.10/2.96 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s28, c_1) | (~node5(s28))),
% 4.10/2.96 inference(modus_ponens,[status(thm)],[2736, 2735])).
% 4.10/2.96 tff(2738,plain,
% 4.10/2.96 (~node5(s28)),
% 4.10/2.96 inference(unit_resolution,[status(thm)],[2737, 776, 2734])).
% 4.10/2.96 tff(2739,plain,
% 4.10/2.96 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s28, c_n1) | (~node2(s28)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s28, c_n1) | (~node2(s28)))),
% 4.10/2.96 inference(rewrite,[status(thm)],[])).
% 4.10/2.96 tff(2740,plain,
% 4.10/2.96 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s28, c_n1) | (~node2(s28)))),
% 4.10/2.96 inference(quant_inst,[status(thm)],[])).
% 4.10/2.96 tff(2741,plain,
% 4.10/2.96 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s28, c_n1) | (~node2(s28))),
% 4.10/2.96 inference(modus_ponens,[status(thm)],[2740, 2739])).
% 4.10/2.96 tff(2742,plain,
% 4.10/2.96 (~node2(s28)),
% 4.10/2.96 inference(unit_resolution,[status(thm)],[2741, 787, 2666])).
% 4.10/2.96 tff(2743,plain,
% 4.10/2.96 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s28, c_n1) | (~node3(s28)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s28, c_n1) | (~node3(s28)))),
% 4.10/2.96 inference(rewrite,[status(thm)],[])).
% 4.10/2.96 tff(2744,plain,
% 4.10/2.96 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s28, c_n1) | (~node3(s28)))),
% 4.10/2.96 inference(quant_inst,[status(thm)],[])).
% 4.10/2.96 tff(2745,plain,
% 4.10/2.96 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s28, c_n1) | (~node3(s28))),
% 4.10/2.96 inference(modus_ponens,[status(thm)],[2744, 2743])).
% 4.10/2.96 tff(2746,plain,
% 4.10/2.96 (~node3(s28)),
% 4.10/2.96 inference(unit_resolution,[status(thm)],[2745, 798, 2666])).
% 4.10/2.96 tff(2747,plain,
% 4.10/2.96 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s28, c_n2) | (~node4(s28)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s28, c_n2) | (~node4(s28)))),
% 4.10/2.96 inference(rewrite,[status(thm)],[])).
% 4.10/2.96 tff(2748,plain,
% 4.10/2.96 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s28, c_n2) | (~node4(s28)))),
% 4.10/2.96 inference(quant_inst,[status(thm)],[])).
% 4.10/2.96 tff(2749,plain,
% 4.10/2.96 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s28, c_n2) | (~node4(s28))),
% 4.10/2.96 inference(modus_ponens,[status(thm)],[2748, 2747])).
% 4.10/2.96 tff(2750,plain,
% 4.10/2.96 (~node4(s28)),
% 4.10/2.96 inference(unit_resolution,[status(thm)],[2749, 388, 2686])).
% 4.10/2.96 tff(2751,plain,
% 4.10/2.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s28, s29)) | node7(s28, s29))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s28, s29)) | node7(s28, s29))),
% 4.10/2.96 inference(rewrite,[status(thm)],[])).
% 4.10/2.96 tff(2752,plain,
% 4.10/2.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s28, s29)) | node7(s28, s29))),
% 4.10/2.96 inference(quant_inst,[status(thm)],[])).
% 4.10/2.96 tff(2753,plain,
% 4.10/2.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s28, s29)) | node7(s28, s29)),
% 4.10/2.96 inference(modus_ponens,[status(thm)],[2752, 2751])).
% 4.10/2.96 tff(2754,plain,
% 4.10/2.96 (node7(s28, s29)),
% 4.10/2.96 inference(unit_resolution,[status(thm)],[2753, 206, 2697])).
% 4.10/2.96 tff(2755,plain,
% 4.10/2.96 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s28, c_c1) | node1(s28) | node2(s28) | node3(s28) | node4(s28) | node5(s28) | node6(s28, s29) | (~node7(s28, s29)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s28, c_c1) | node1(s28) | node2(s28) | node3(s28) | node4(s28) | node5(s28) | node6(s28, s29) | (~node7(s28, s29)))),
% 4.10/2.96 inference(rewrite,[status(thm)],[])).
% 4.10/2.96 tff(2756,plain,
% 4.10/2.96 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s28, c_c1) | node1(s28) | node2(s28) | node3(s28) | node4(s28) | node5(s28) | node6(s28, s29) | (~node7(s28, s29)))),
% 4.10/2.96 inference(quant_inst,[status(thm)],[])).
% 4.10/2.96 tff(2757,plain,
% 4.10/2.96 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s28, c_c1) | node1(s28) | node2(s28) | node3(s28) | node4(s28) | node5(s28) | node6(s28, s29) | (~node7(s28, s29))),
% 4.10/2.96 inference(modus_ponens,[status(thm)],[2756, 2755])).
% 4.10/2.96 tff(2758,plain,
% 4.10/2.96 (m_main_v_state1(s28, c_c1) | node1(s28) | node2(s28) | node3(s28) | node4(s28) | node5(s28) | node6(s28, s29)),
% 4.10/2.96 inference(unit_resolution,[status(thm)],[2757, 820, 2754])).
% 4.10/2.96 tff(2759,plain,
% 4.10/2.96 (node6(s28, s29)),
% 4.10/2.96 inference(unit_resolution,[status(thm)],[2758, 2750, 2674, 2746, 2742, 2738, 2721])).
% 4.10/2.96 tff(2760,plain,
% 4.10/2.96 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s28, c_n1) | (~m_main_v_state1(s29, c_n1)) | (~node6(s28, s29)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s28, c_n1) | (~m_main_v_state1(s29, c_n1)) | (~node6(s28, s29)))),
% 4.10/2.96 inference(rewrite,[status(thm)],[])).
% 4.10/2.96 tff(2761,plain,
% 4.10/2.96 (((~node6(s28, s29)) | m_main_v_state1(s28, c_n1) | (~m_main_v_state1(s29, c_n1))) <=> (m_main_v_state1(s28, c_n1) | (~m_main_v_state1(s29, c_n1)) | (~node6(s28, s29)))),
% 4.10/2.96 inference(rewrite,[status(thm)],[])).
% 4.10/2.96 tff(2762,plain,
% 4.10/2.96 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s28, s29)) | m_main_v_state1(s28, c_n1) | (~m_main_v_state1(s29, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s28, c_n1) | (~m_main_v_state1(s29, c_n1)) | (~node6(s28, s29))))),
% 4.10/2.96 inference(monotonicity,[status(thm)],[2761])).
% 4.10/2.96 tff(2763,plain,
% 4.10/2.96 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s28, s29)) | m_main_v_state1(s28, c_n1) | (~m_main_v_state1(s29, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s28, c_n1) | (~m_main_v_state1(s29, c_n1)) | (~node6(s28, s29)))),
% 4.10/2.96 inference(transitivity,[status(thm)],[2762, 2760])).
% 4.10/2.96 tff(2764,plain,
% 4.10/2.96 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s28, s29)) | m_main_v_state1(s28, c_n1) | (~m_main_v_state1(s29, c_n1)))),
% 4.10/2.96 inference(quant_inst,[status(thm)],[])).
% 4.10/2.96 tff(2765,plain,
% 4.10/2.96 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s28, c_n1) | (~m_main_v_state1(s29, c_n1)) | (~node6(s28, s29))),
% 4.10/2.96 inference(modus_ponens,[status(thm)],[2764, 2763])).
% 4.10/2.96 tff(2766,plain,
% 4.10/2.96 (~m_main_v_state1(s29, c_n1)),
% 4.10/2.96 inference(unit_resolution,[status(thm)],[2765, 835, 2666, 2759])).
% 4.10/2.96 tff(2767,plain,
% 4.10/2.96 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s29, c_n1) | (~node2(s29)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s29, c_n1) | (~node2(s29)))),
% 4.10/2.96 inference(rewrite,[status(thm)],[])).
% 4.10/2.96 tff(2768,plain,
% 4.10/2.96 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s29, c_n1) | (~node2(s29)))),
% 4.10/2.96 inference(quant_inst,[status(thm)],[])).
% 4.10/2.96 tff(2769,plain,
% 4.10/2.96 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s29, c_n1) | (~node2(s29))),
% 4.10/2.96 inference(modus_ponens,[status(thm)],[2768, 2767])).
% 4.10/2.96 tff(2770,plain,
% 4.10/2.96 (~node2(s29)),
% 4.10/2.96 inference(unit_resolution,[status(thm)],[2769, 787, 2766])).
% 4.10/2.96 tff(2771,plain,
% 4.10/2.96 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s28, c_t1)) | m_main_v_state1(s29, c_t1) | (~node6(s28, s29)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s28, c_t1)) | m_main_v_state1(s29, c_t1) | (~node6(s28, s29)))),
% 4.10/2.96 inference(rewrite,[status(thm)],[])).
% 4.10/2.96 tff(2772,plain,
% 4.10/2.96 (((~node6(s28, s29)) | (~m_main_v_state1(s28, c_t1)) | m_main_v_state1(s29, c_t1)) <=> ((~m_main_v_state1(s28, c_t1)) | m_main_v_state1(s29, c_t1) | (~node6(s28, s29)))),
% 4.10/2.96 inference(rewrite,[status(thm)],[])).
% 4.10/2.96 tff(2773,plain,
% 4.10/2.96 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s28, s29)) | (~m_main_v_state1(s28, c_t1)) | m_main_v_state1(s29, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s28, c_t1)) | m_main_v_state1(s29, c_t1) | (~node6(s28, s29))))),
% 4.10/2.96 inference(monotonicity,[status(thm)],[2772])).
% 4.10/2.96 tff(2774,plain,
% 4.10/2.96 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s28, s29)) | (~m_main_v_state1(s28, c_t1)) | m_main_v_state1(s29, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s28, c_t1)) | m_main_v_state1(s29, c_t1) | (~node6(s28, s29)))),
% 4.10/2.96 inference(transitivity,[status(thm)],[2773, 2771])).
% 4.10/2.96 tff(2775,plain,
% 4.10/2.96 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s28, s29)) | (~m_main_v_state1(s28, c_t1)) | m_main_v_state1(s29, c_t1))),
% 4.10/2.96 inference(quant_inst,[status(thm)],[])).
% 4.10/2.96 tff(2776,plain,
% 4.10/2.96 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s28, c_t1)) | m_main_v_state1(s29, c_t1) | (~node6(s28, s29))),
% 4.10/2.96 inference(modus_ponens,[status(thm)],[2775, 2774])).
% 4.10/2.96 tff(2777,plain,
% 4.10/2.96 (m_main_v_state1(s29, c_t1)),
% 4.10/2.96 inference(unit_resolution,[status(thm)],[2776, 856, 2662, 2759])).
% 4.10/2.96 tff(2778,plain,
% 4.10/2.96 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s29, c_n2)) | (~m_main_v_state2(s29, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s29, c_n2)) | (~m_main_v_state2(s29, c_t2)))),
% 4.10/2.96 inference(rewrite,[status(thm)],[])).
% 4.10/2.96 tff(2779,plain,
% 4.10/2.96 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s29, c_n2)) | (~m_main_v_state2(s29, c_t2)))),
% 4.10/2.96 inference(quant_inst,[status(thm)],[])).
% 4.10/2.96 tff(2780,plain,
% 4.10/2.96 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s29, c_n2)) | (~m_main_v_state2(s29, c_t2))),
% 4.10/2.96 inference(modus_ponens,[status(thm)],[2779, 2778])).
% 4.10/2.96 tff(2781,plain,
% 4.10/2.96 (~m_main_v_state2(s29, c_t2)),
% 4.10/2.96 inference(unit_resolution,[status(thm)],[2780, 77, 2709])).
% 4.10/2.96 tff(2782,plain,
% 4.10/2.96 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s29, c_t2) | (~node1(s29)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s29, c_t2) | (~node1(s29)))),
% 4.10/2.96 inference(rewrite,[status(thm)],[])).
% 4.10/2.96 tff(2783,plain,
% 4.10/2.96 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s29, c_t2) | (~node1(s29)))),
% 4.10/2.96 inference(quant_inst,[status(thm)],[])).
% 4.10/2.96 tff(2784,plain,
% 4.10/2.96 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s29, c_t2) | (~node1(s29))),
% 4.10/2.96 inference(modus_ponens,[status(thm)],[2783, 2782])).
% 4.10/2.96 tff(2785,plain,
% 4.10/2.96 (~node1(s29)),
% 4.10/2.96 inference(unit_resolution,[status(thm)],[2784, 195, 2781])).
% 4.10/2.96 tff(2786,plain,
% 4.10/2.96 (succ(s29, s30) <=> succ(s29, s30)),
% 4.10/2.96 inference(rewrite,[status(thm)],[])).
% 4.10/2.96 tff(2787,axiom,(succ(s29, s30)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound30')).
% 4.10/2.96 tff(2788,plain,
% 4.10/2.96 (succ(s29, s30)),
% 4.10/2.96 inference(modus_ponens,[status(thm)],[2787, 2786])).
% 4.10/2.96 tff(2789,plain,
% 4.10/2.96 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s29, s30)) | trans(s29, s30))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s29, s30)) | trans(s29, s30))),
% 4.10/2.96 inference(rewrite,[status(thm)],[])).
% 4.10/2.96 tff(2790,plain,
% 4.10/2.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s29, s30)) | trans(s29, s30))),
% 4.10/2.96 inference(quant_inst,[status(thm)],[])).
% 4.10/2.96 tff(2791,plain,
% 4.10/2.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s29, s30)) | trans(s29, s30)),
% 4.10/2.96 inference(modus_ponens,[status(thm)],[2790, 2789])).
% 4.10/2.96 tff(2792,plain,
% 4.10/2.96 (trans(s29, s30)),
% 4.10/2.96 inference(unit_resolution,[status(thm)],[2791, 2788, 32])).
% 4.10/2.96 tff(2793,plain,
% 4.10/2.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s29, s30)) | node7(s29, s30))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s29, s30)) | node7(s29, s30))),
% 4.10/2.96 inference(rewrite,[status(thm)],[])).
% 4.10/2.96 tff(2794,plain,
% 4.10/2.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s29, s30)) | node7(s29, s30))),
% 4.10/2.96 inference(quant_inst,[status(thm)],[])).
% 4.10/2.96 tff(2795,plain,
% 4.10/2.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s29, s30)) | node7(s29, s30)),
% 4.10/2.96 inference(modus_ponens,[status(thm)],[2794, 2793])).
% 4.10/2.96 tff(2796,plain,
% 4.10/2.96 (node7(s29, s30)),
% 4.10/2.96 inference(unit_resolution,[status(thm)],[2795, 206, 2792])).
% 4.10/2.96 tff(2797,plain,
% 4.10/2.96 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | m_main_v_state1(s30, c_c1) | node1(s29) | node2(s29) | node3(s29) | (~node7(s29, s30)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | m_main_v_state1(s30, c_c1) | node1(s29) | node2(s29) | node3(s29) | (~node7(s29, s30)))),
% 4.10/2.96 inference(rewrite,[status(thm)],[])).
% 4.10/2.96 tff(2798,plain,
% 4.10/2.96 (((~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | node1(s29) | node2(s29) | node3(s29) | (~node7(s29, s30)) | m_main_v_state1(s30, c_c1)) <=> ((~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | m_main_v_state1(s30, c_c1) | node1(s29) | node2(s29) | node3(s29) | (~node7(s29, s30)))),
% 4.10/2.96 inference(rewrite,[status(thm)],[])).
% 4.10/2.96 tff(2799,plain,
% 4.10/2.96 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | node1(s29) | node2(s29) | node3(s29) | (~node7(s29, s30)) | m_main_v_state1(s30, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | m_main_v_state1(s30, c_c1) | node1(s29) | node2(s29) | node3(s29) | (~node7(s29, s30))))),
% 4.10/2.96 inference(monotonicity,[status(thm)],[2798])).
% 4.10/2.96 tff(2800,plain,
% 4.10/2.96 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | node1(s29) | node2(s29) | node3(s29) | (~node7(s29, s30)) | m_main_v_state1(s30, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | m_main_v_state1(s30, c_c1) | node1(s29) | node2(s29) | node3(s29) | (~node7(s29, s30)))),
% 4.10/2.96 inference(transitivity,[status(thm)],[2799, 2797])).
% 4.10/2.96 tff(2801,plain,
% 4.10/2.96 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | node1(s29) | node2(s29) | node3(s29) | (~node7(s29, s30)) | m_main_v_state1(s30, c_c1))),
% 4.10/2.96 inference(quant_inst,[status(thm)],[])).
% 4.10/2.96 tff(2802,plain,
% 4.10/2.96 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | m_main_v_state1(s30, c_c1) | node1(s29) | node2(s29) | node3(s29) | (~node7(s29, s30))),
% 4.10/2.96 inference(modus_ponens,[status(thm)],[2801, 2800])).
% 4.10/2.96 tff(2803,plain,
% 4.10/2.96 ((~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | m_main_v_state1(s30, c_c1) | node1(s29) | node2(s29) | node3(s29)),
% 4.10/2.96 inference(unit_resolution,[status(thm)],[2802, 892, 2796])).
% 4.10/2.96 tff(2804,plain,
% 4.10/2.96 (m_main_v_state1(s30, c_c1)),
% 4.10/2.96 inference(unit_resolution,[status(thm)],[2803, 2785, 2709, 2777, 2770, 2717])).
% 4.10/2.96 tff(2805,plain,
% 4.10/2.96 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s30, c_t1)) | (~m_main_v_state1(s30, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s30, c_t1)) | (~m_main_v_state1(s30, c_c1)))),
% 4.10/2.96 inference(rewrite,[status(thm)],[])).
% 4.10/2.96 tff(2806,plain,
% 4.10/2.96 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s30, c_t1)) | (~m_main_v_state1(s30, c_c1)))),
% 4.10/2.96 inference(quant_inst,[status(thm)],[])).
% 4.10/2.96 tff(2807,plain,
% 4.10/2.96 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s30, c_t1)) | (~m_main_v_state1(s30, c_c1))),
% 4.10/2.96 inference(modus_ponens,[status(thm)],[2806, 2805])).
% 4.10/2.96 tff(2808,plain,
% 4.10/2.96 (~m_main_v_state1(s30, c_t1)),
% 4.10/2.96 inference(unit_resolution,[status(thm)],[2807, 539, 2804])).
% 4.10/2.96 tff(2809,plain,
% 4.10/2.96 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s30, c_t1) | (~node5(s30)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s30, c_t1) | (~node5(s30)))),
% 4.10/2.96 inference(rewrite,[status(thm)],[])).
% 4.10/2.96 tff(2810,plain,
% 4.10/2.96 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s30, c_t1) | (~node5(s30)))),
% 4.10/2.96 inference(quant_inst,[status(thm)],[])).
% 4.10/2.96 tff(2811,plain,
% 4.10/2.96 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s30, c_t1) | (~node5(s30))),
% 4.10/2.96 inference(modus_ponens,[status(thm)],[2810, 2809])).
% 4.10/2.96 tff(2812,plain,
% 4.10/2.96 (~node5(s30)),
% 4.10/2.96 inference(unit_resolution,[status(thm)],[2811, 550, 2808])).
% 4.10/2.96 tff(2813,plain,
% 4.10/2.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s29, s30)) | node14(s29, s30))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s29, s30)) | node14(s29, s30))),
% 4.10/2.96 inference(rewrite,[status(thm)],[])).
% 4.10/2.96 tff(2814,plain,
% 4.10/2.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s29, s30)) | node14(s29, s30))),
% 4.10/2.96 inference(quant_inst,[status(thm)],[])).
% 4.10/2.96 tff(2815,plain,
% 4.10/2.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s29, s30)) | node14(s29, s30)),
% 4.10/2.96 inference(modus_ponens,[status(thm)],[2814, 2813])).
% 4.10/2.96 tff(2816,plain,
% 4.10/2.96 (node14(s29, s30)),
% 4.10/2.96 inference(unit_resolution,[status(thm)],[2815, 46, 2792])).
% 4.10/2.96 tff(2817,plain,
% 4.10/2.96 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | (~node14(s29, s30)) | m_main_v_state2(s30, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | (~node14(s29, s30)) | m_main_v_state2(s30, c_t2))),
% 4.10/2.96 inference(rewrite,[status(thm)],[])).
% 4.10/2.96 tff(2818,plain,
% 4.10/2.96 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | (~node14(s29, s30)) | m_main_v_state2(s30, c_t2))),
% 4.10/2.96 inference(quant_inst,[status(thm)],[])).
% 4.10/2.96 tff(2819,plain,
% 4.10/2.96 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | (~node14(s29, s30)) | m_main_v_state2(s30, c_t2)),
% 4.10/2.96 inference(modus_ponens,[status(thm)],[2818, 2817])).
% 4.10/2.96 tff(2820,plain,
% 4.10/2.96 ((~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | m_main_v_state2(s30, c_t2)),
% 4.10/2.96 inference(unit_resolution,[status(thm)],[2819, 922, 2816])).
% 4.10/2.96 tff(2821,plain,
% 4.10/2.96 (m_main_v_state2(s30, c_t2)),
% 4.10/2.96 inference(unit_resolution,[status(thm)],[2820, 2777, 2709])).
% 4.10/2.96 tff(2822,plain,
% 4.10/2.96 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s30, c_n2)) | (~m_main_v_state2(s30, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s30, c_n2)) | (~m_main_v_state2(s30, c_t2)))),
% 4.10/2.96 inference(rewrite,[status(thm)],[])).
% 4.10/2.96 tff(2823,plain,
% 4.10/2.96 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s30, c_n2)) | (~m_main_v_state2(s30, c_t2)))),
% 4.10/2.96 inference(quant_inst,[status(thm)],[])).
% 4.10/2.96 tff(2824,plain,
% 4.10/2.96 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s30, c_n2)) | (~m_main_v_state2(s30, c_t2))),
% 4.10/2.96 inference(modus_ponens,[status(thm)],[2823, 2822])).
% 4.10/2.96 tff(2825,plain,
% 4.10/2.96 (~m_main_v_state2(s30, c_n2)),
% 4.10/2.96 inference(unit_resolution,[status(thm)],[2824, 77, 2821])).
% 4.10/2.96 tff(2826,plain,
% 4.10/2.96 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s30, c_n2) | (~node4(s30)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s30, c_n2) | (~node4(s30)))),
% 4.10/2.96 inference(rewrite,[status(thm)],[])).
% 4.10/2.96 tff(2827,plain,
% 4.10/2.96 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s30, c_n2) | (~node4(s30)))),
% 4.10/2.96 inference(quant_inst,[status(thm)],[])).
% 4.10/2.96 tff(2828,plain,
% 4.10/2.96 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s30, c_n2) | (~node4(s30))),
% 4.10/2.96 inference(modus_ponens,[status(thm)],[2827, 2826])).
% 4.10/2.96 tff(2829,plain,
% 4.10/2.96 (~node4(s30)),
% 4.10/2.96 inference(unit_resolution,[status(thm)],[2828, 388, 2825])).
% 4.10/2.96 tff(2830,plain,
% 4.10/2.96 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s30, c_t2)) | (~m_main_v_state2(s30, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s30, c_t2)) | (~m_main_v_state2(s30, c_c2)))),
% 4.10/2.96 inference(rewrite,[status(thm)],[])).
% 4.10/2.96 tff(2831,plain,
% 4.10/2.96 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s30, c_t2)) | (~m_main_v_state2(s30, c_c2)))),
% 4.10/2.96 inference(quant_inst,[status(thm)],[])).
% 4.10/2.96 tff(2832,plain,
% 4.10/2.96 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s30, c_t2)) | (~m_main_v_state2(s30, c_c2))),
% 4.10/2.96 inference(modus_ponens,[status(thm)],[2831, 2830])).
% 4.10/2.96 tff(2833,plain,
% 4.10/2.96 (~m_main_v_state2(s30, c_c2)),
% 4.10/2.96 inference(unit_resolution,[status(thm)],[2832, 260, 2821])).
% 4.10/2.96 tff(2834,plain,
% 4.10/2.96 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s30, c_c2) | (~node3(s30)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s30, c_c2) | (~node3(s30)))),
% 4.10/2.97 inference(rewrite,[status(thm)],[])).
% 4.10/2.97 tff(2835,plain,
% 4.10/2.97 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s30, c_c2) | (~node3(s30)))),
% 4.10/2.97 inference(quant_inst,[status(thm)],[])).
% 4.10/2.97 tff(2836,plain,
% 4.10/2.97 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s30, c_c2) | (~node3(s30))),
% 4.10/2.97 inference(modus_ponens,[status(thm)],[2835, 2834])).
% 4.10/2.97 tff(2837,plain,
% 4.10/2.97 (~node3(s30)),
% 4.10/2.97 inference(unit_resolution,[status(thm)],[2836, 399, 2833])).
% 4.10/2.97 tff(2838,plain,
% 4.10/2.97 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s30, c_n2) | (~node2(s30)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s30, c_n2) | (~node2(s30)))),
% 4.10/2.97 inference(rewrite,[status(thm)],[])).
% 4.10/2.97 tff(2839,plain,
% 4.10/2.97 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s30, c_n2) | (~node2(s30)))),
% 4.10/2.97 inference(quant_inst,[status(thm)],[])).
% 4.10/2.97 tff(2840,plain,
% 4.10/2.97 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s30, c_n2) | (~node2(s30))),
% 4.10/2.97 inference(modus_ponens,[status(thm)],[2839, 2838])).
% 4.10/2.97 tff(2841,plain,
% 4.10/2.97 (~node2(s30)),
% 4.10/2.97 inference(unit_resolution,[status(thm)],[2840, 410, 2825])).
% 4.10/2.97 tff(2842,plain,
% 4.10/2.97 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s30, c_n1)) | (~m_main_v_state1(s30, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s30, c_n1)) | (~m_main_v_state1(s30, c_c1)))),
% 4.10/2.97 inference(rewrite,[status(thm)],[])).
% 4.10/2.97 tff(2843,plain,
% 4.10/2.97 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s30, c_n1)) | (~m_main_v_state1(s30, c_c1)))),
% 4.10/2.97 inference(quant_inst,[status(thm)],[])).
% 4.10/2.97 tff(2844,plain,
% 4.10/2.97 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s30, c_n1)) | (~m_main_v_state1(s30, c_c1))),
% 4.10/2.97 inference(modus_ponens,[status(thm)],[2843, 2842])).
% 4.10/2.97 tff(2845,plain,
% 4.10/2.97 (~m_main_v_state1(s30, c_n1)),
% 4.10/2.97 inference(unit_resolution,[status(thm)],[2844, 454, 2804])).
% 4.10/2.97 tff(2846,plain,
% 4.10/2.97 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s30, c_n1) | (~node1(s30)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s30, c_n1) | (~node1(s30)))),
% 4.10/2.97 inference(rewrite,[status(thm)],[])).
% 4.10/2.97 tff(2847,plain,
% 4.10/2.97 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s30, c_n1) | (~node1(s30)))),
% 4.10/2.97 inference(quant_inst,[status(thm)],[])).
% 4.10/2.97 tff(2848,plain,
% 4.10/2.97 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s30, c_n1) | (~node1(s30))),
% 4.10/2.97 inference(modus_ponens,[status(thm)],[2847, 2846])).
% 4.10/2.97 tff(2849,plain,
% 4.10/2.97 (~node1(s30)),
% 4.10/2.97 inference(unit_resolution,[status(thm)],[2848, 421, 2845])).
% 4.10/2.97 tff(2850,plain,
% 4.10/2.97 (succ(s30, s31) <=> succ(s30, s31)),
% 4.10/2.97 inference(rewrite,[status(thm)],[])).
% 4.10/2.97 tff(2851,axiom,(succ(s30, s31)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound31')).
% 4.10/2.97 tff(2852,plain,
% 4.10/2.97 (succ(s30, s31)),
% 4.10/2.97 inference(modus_ponens,[status(thm)],[2851, 2850])).
% 4.10/2.97 tff(2853,plain,
% 4.10/2.97 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s30, s31)) | trans(s30, s31))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s30, s31)) | trans(s30, s31))),
% 4.10/2.97 inference(rewrite,[status(thm)],[])).
% 4.10/2.97 tff(2854,plain,
% 4.10/2.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s30, s31)) | trans(s30, s31))),
% 4.10/2.97 inference(quant_inst,[status(thm)],[])).
% 4.10/2.97 tff(2855,plain,
% 4.10/2.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s30, s31)) | trans(s30, s31)),
% 4.10/2.97 inference(modus_ponens,[status(thm)],[2854, 2853])).
% 4.10/2.97 tff(2856,plain,
% 4.10/2.97 (trans(s30, s31)),
% 4.10/2.97 inference(unit_resolution,[status(thm)],[2855, 2852, 32])).
% 4.10/2.97 tff(2857,plain,
% 4.10/2.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s30, s31)) | node7(s30, s31))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s30, s31)) | node7(s30, s31))),
% 4.10/2.97 inference(rewrite,[status(thm)],[])).
% 4.10/2.97 tff(2858,plain,
% 4.10/2.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s30, s31)) | node7(s30, s31))),
% 4.10/2.97 inference(quant_inst,[status(thm)],[])).
% 4.10/2.97 tff(2859,plain,
% 4.10/2.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s30, s31)) | node7(s30, s31)),
% 4.10/2.97 inference(modus_ponens,[status(thm)],[2858, 2857])).
% 4.10/2.97 tff(2860,plain,
% 4.10/2.97 (node7(s30, s31)),
% 4.10/2.97 inference(unit_resolution,[status(thm)],[2859, 206, 2856])).
% 4.10/2.97 tff(2861,plain,
% 4.10/2.97 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s31, c_n1) | (~m_main_v_state1(s30, c_c1)) | node1(s30) | node2(s30) | node3(s30) | node4(s30) | node5(s30) | (~node7(s30, s31)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s31, c_n1) | (~m_main_v_state1(s30, c_c1)) | node1(s30) | node2(s30) | node3(s30) | node4(s30) | node5(s30) | (~node7(s30, s31)))),
% 4.10/2.97 inference(rewrite,[status(thm)],[])).
% 4.10/2.97 tff(2862,plain,
% 4.10/2.97 (((~m_main_v_state1(s30, c_c1)) | node1(s30) | node2(s30) | node3(s30) | node4(s30) | node5(s30) | (~node7(s30, s31)) | m_main_v_state1(s31, c_n1)) <=> (m_main_v_state1(s31, c_n1) | (~m_main_v_state1(s30, c_c1)) | node1(s30) | node2(s30) | node3(s30) | node4(s30) | node5(s30) | (~node7(s30, s31)))),
% 4.10/2.97 inference(rewrite,[status(thm)],[])).
% 4.10/2.97 tff(2863,plain,
% 4.10/2.97 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s30, c_c1)) | node1(s30) | node2(s30) | node3(s30) | node4(s30) | node5(s30) | (~node7(s30, s31)) | m_main_v_state1(s31, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s31, c_n1) | (~m_main_v_state1(s30, c_c1)) | node1(s30) | node2(s30) | node3(s30) | node4(s30) | node5(s30) | (~node7(s30, s31))))),
% 4.10/2.97 inference(monotonicity,[status(thm)],[2862])).
% 4.10/2.97 tff(2864,plain,
% 4.10/2.97 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s30, c_c1)) | node1(s30) | node2(s30) | node3(s30) | node4(s30) | node5(s30) | (~node7(s30, s31)) | m_main_v_state1(s31, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s31, c_n1) | (~m_main_v_state1(s30, c_c1)) | node1(s30) | node2(s30) | node3(s30) | node4(s30) | node5(s30) | (~node7(s30, s31)))),
% 4.10/2.97 inference(transitivity,[status(thm)],[2863, 2861])).
% 4.10/2.97 tff(2865,plain,
% 4.10/2.97 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s30, c_c1)) | node1(s30) | node2(s30) | node3(s30) | node4(s30) | node5(s30) | (~node7(s30, s31)) | m_main_v_state1(s31, c_n1))),
% 4.10/2.97 inference(quant_inst,[status(thm)],[])).
% 4.10/2.97 tff(2866,plain,
% 4.10/2.97 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s31, c_n1) | (~m_main_v_state1(s30, c_c1)) | node1(s30) | node2(s30) | node3(s30) | node4(s30) | node5(s30) | (~node7(s30, s31))),
% 4.10/2.97 inference(modus_ponens,[status(thm)],[2865, 2864])).
% 4.10/2.97 tff(2867,plain,
% 4.10/2.97 (m_main_v_state1(s31, c_n1) | (~m_main_v_state1(s30, c_c1)) | node1(s30) | node2(s30) | node3(s30) | node4(s30) | node5(s30)),
% 4.10/2.97 inference(unit_resolution,[status(thm)],[2866, 584, 2860])).
% 4.10/2.97 tff(2868,plain,
% 4.10/2.97 (m_main_v_state1(s31, c_n1)),
% 4.10/2.97 inference(unit_resolution,[status(thm)],[2867, 2849, 2804, 2841, 2837, 2829, 2812])).
% 4.10/2.97 tff(2869,plain,
% 4.10/2.97 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s29, c_t2) | (~node15(s29)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s29, c_t2) | (~node15(s29)))),
% 4.10/2.97 inference(rewrite,[status(thm)],[])).
% 4.10/2.97 tff(2870,plain,
% 4.10/2.97 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s29, c_t2) | (~node15(s29)))),
% 4.10/2.97 inference(quant_inst,[status(thm)],[])).
% 4.10/2.97 tff(2871,plain,
% 4.10/2.97 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s29, c_t2) | (~node15(s29))),
% 4.10/2.97 inference(modus_ponens,[status(thm)],[2870, 2869])).
% 4.10/2.97 tff(2872,plain,
% 4.10/2.97 (~node15(s29)),
% 4.10/2.97 inference(unit_resolution,[status(thm)],[2871, 103, 2781])).
% 4.10/2.97 tff(2873,plain,
% 4.10/2.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s29, s30)) | node18(s29, s30))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s29, s30)) | node18(s29, s30))),
% 4.10/2.97 inference(rewrite,[status(thm)],[])).
% 4.10/2.97 tff(2874,plain,
% 4.10/2.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s29, s30)) | node18(s29, s30))),
% 4.10/2.97 inference(quant_inst,[status(thm)],[])).
% 4.10/2.97 tff(2875,plain,
% 4.10/2.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s29, s30)) | node18(s29, s30)),
% 4.10/2.97 inference(modus_ponens,[status(thm)],[2874, 2873])).
% 4.10/2.97 tff(2876,plain,
% 4.10/2.97 (node18(s29, s30)),
% 4.10/2.97 inference(unit_resolution,[status(thm)],[2875, 125, 2792])).
% 4.10/2.97 tff(2877,plain,
% 4.10/2.97 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s29) | (~node18(s29, s30)) | (~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | m_main_v_turn(s30, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s29) | (~node18(s29, s30)) | (~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | m_main_v_turn(s30, c_1))),
% 4.10/2.97 inference(rewrite,[status(thm)],[])).
% 4.10/2.97 tff(2878,plain,
% 4.10/2.97 (((~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | node15(s29) | (~node18(s29, s30)) | m_main_v_turn(s30, c_1)) <=> (node15(s29) | (~node18(s29, s30)) | (~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | m_main_v_turn(s30, c_1))),
% 4.10/2.97 inference(rewrite,[status(thm)],[])).
% 4.10/2.97 tff(2879,plain,
% 4.10/2.97 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | node15(s29) | (~node18(s29, s30)) | m_main_v_turn(s30, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s29) | (~node18(s29, s30)) | (~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | m_main_v_turn(s30, c_1)))),
% 4.10/2.97 inference(monotonicity,[status(thm)],[2878])).
% 4.10/2.97 tff(2880,plain,
% 4.10/2.97 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | node15(s29) | (~node18(s29, s30)) | m_main_v_turn(s30, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s29) | (~node18(s29, s30)) | (~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | m_main_v_turn(s30, c_1))),
% 4.10/2.97 inference(transitivity,[status(thm)],[2879, 2877])).
% 4.10/2.97 tff(2881,plain,
% 4.10/2.97 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | node15(s29) | (~node18(s29, s30)) | m_main_v_turn(s30, c_1))),
% 4.10/2.97 inference(quant_inst,[status(thm)],[])).
% 4.10/2.97 tff(2882,plain,
% 4.10/2.97 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s29) | (~node18(s29, s30)) | (~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | m_main_v_turn(s30, c_1)),
% 4.10/2.97 inference(modus_ponens,[status(thm)],[2881, 2880])).
% 4.10/2.97 tff(2883,plain,
% 4.10/2.97 (node15(s29) | (~m_main_v_state1(s29, c_t1)) | (~m_main_v_state2(s29, c_n2)) | m_main_v_turn(s30, c_1)),
% 4.10/2.97 inference(unit_resolution,[status(thm)],[2882, 992, 2876])).
% 4.10/2.97 tff(2884,plain,
% 4.10/2.97 (m_main_v_turn(s30, c_1)),
% 4.10/2.97 inference(unit_resolution,[status(thm)],[2883, 2872, 2709, 2777])).
% 4.10/2.97 tff(2885,plain,
% 4.10/2.97 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s30, c_1)) | (~m_main_v_turn(s30, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s30, c_1)) | (~m_main_v_turn(s30, c_2)))),
% 4.10/2.97 inference(rewrite,[status(thm)],[])).
% 4.10/2.97 tff(2886,plain,
% 4.10/2.97 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s30, c_1)) | (~m_main_v_turn(s30, c_2)))),
% 4.10/2.97 inference(quant_inst,[status(thm)],[])).
% 4.10/2.97 tff(2887,plain,
% 4.10/2.97 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s30, c_1)) | (~m_main_v_turn(s30, c_2))),
% 4.10/2.97 inference(modus_ponens,[status(thm)],[2886, 2885])).
% 4.10/2.97 tff(2888,plain,
% 4.10/2.97 (~m_main_v_turn(s30, c_2)),
% 4.10/2.97 inference(unit_resolution,[status(thm)],[2887, 156, 2884])).
% 4.10/2.97 tff(2889,plain,
% 4.10/2.97 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s30, c_2) | (~node12(s30)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s30, c_2) | (~node12(s30)))),
% 4.10/2.97 inference(rewrite,[status(thm)],[])).
% 4.10/2.97 tff(2890,plain,
% 4.10/2.97 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s30, c_2) | (~node12(s30)))),
% 4.10/2.97 inference(quant_inst,[status(thm)],[])).
% 4.10/2.97 tff(2891,plain,
% 4.10/2.97 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s30, c_2) | (~node12(s30))),
% 4.10/2.97 inference(modus_ponens,[status(thm)],[2890, 2889])).
% 4.10/2.97 tff(2892,plain,
% 4.10/2.97 (~node12(s30)),
% 4.10/2.97 inference(unit_resolution,[status(thm)],[2891, 184, 2888])).
% 4.10/2.97 tff(2893,plain,
% 4.10/2.97 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s30, c_n2) | (~node8(s30)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s30, c_n2) | (~node8(s30)))),
% 4.10/2.97 inference(rewrite,[status(thm)],[])).
% 4.10/2.97 tff(2894,plain,
% 4.10/2.97 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s30, c_n2) | (~node8(s30)))),
% 4.10/2.97 inference(quant_inst,[status(thm)],[])).
% 4.10/2.97 tff(2895,plain,
% 4.10/2.97 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s30, c_n2) | (~node8(s30))),
% 4.10/2.97 inference(modus_ponens,[status(thm)],[2894, 2893])).
% 4.10/2.97 tff(2896,plain,
% 4.10/2.97 (~node8(s30)),
% 4.10/2.97 inference(unit_resolution,[status(thm)],[2895, 271, 2825])).
% 4.10/2.97 tff(2897,plain,
% 4.10/2.97 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s30, c_n2) | (~node9(s30)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s30, c_n2) | (~node9(s30)))),
% 4.10/2.97 inference(rewrite,[status(thm)],[])).
% 4.10/2.97 tff(2898,plain,
% 4.10/2.97 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s30, c_n2) | (~node9(s30)))),
% 4.10/2.97 inference(quant_inst,[status(thm)],[])).
% 4.10/2.97 tff(2899,plain,
% 4.10/2.97 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s30, c_n2) | (~node9(s30))),
% 4.10/2.97 inference(modus_ponens,[status(thm)],[2898, 2897])).
% 4.10/2.97 tff(2900,plain,
% 4.10/2.97 (~node9(s30)),
% 4.10/2.97 inference(unit_resolution,[status(thm)],[2899, 88, 2825])).
% 4.10/2.97 tff(2901,plain,
% 4.10/2.97 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s30, c_n2) | (~node10(s30)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s30, c_n2) | (~node10(s30)))),
% 4.10/2.97 inference(rewrite,[status(thm)],[])).
% 4.10/2.97 tff(2902,plain,
% 4.10/2.97 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s30, c_n2) | (~node10(s30)))),
% 4.10/2.97 inference(quant_inst,[status(thm)],[])).
% 4.10/2.97 tff(2903,plain,
% 4.10/2.97 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s30, c_n2) | (~node10(s30))),
% 4.10/2.97 inference(modus_ponens,[status(thm)],[2902, 2901])).
% 4.10/2.97 tff(2904,plain,
% 4.10/2.97 (~node10(s30)),
% 4.10/2.97 inference(unit_resolution,[status(thm)],[2903, 249, 2825])).
% 4.10/2.97 tff(2905,plain,
% 4.10/2.97 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s30, c_n1) | (~node11(s30)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s30, c_n1) | (~node11(s30)))),
% 4.10/2.97 inference(rewrite,[status(thm)],[])).
% 4.10/2.97 tff(2906,plain,
% 4.10/2.97 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s30, c_n1) | (~node11(s30)))),
% 4.10/2.97 inference(quant_inst,[status(thm)],[])).
% 4.10/2.97 tff(2907,plain,
% 4.10/2.97 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s30, c_n1) | (~node11(s30))),
% 4.10/2.97 inference(modus_ponens,[status(thm)],[2906, 2905])).
% 4.10/2.97 tff(2908,plain,
% 4.10/2.97 (~node11(s30)),
% 4.10/2.97 inference(unit_resolution,[status(thm)],[2907, 238, 2845])).
% 4.10/2.97 tff(2909,plain,
% 4.10/2.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s30, s31)) | node14(s30, s31))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s30, s31)) | node14(s30, s31))),
% 4.10/2.97 inference(rewrite,[status(thm)],[])).
% 4.10/2.97 tff(2910,plain,
% 4.10/2.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s30, s31)) | node14(s30, s31))),
% 4.10/2.97 inference(quant_inst,[status(thm)],[])).
% 4.10/2.97 tff(2911,plain,
% 4.10/2.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s30, s31)) | node14(s30, s31)),
% 4.10/2.97 inference(modus_ponens,[status(thm)],[2910, 2909])).
% 4.10/2.97 tff(2912,plain,
% 4.10/2.97 (node14(s30, s31)),
% 4.10/2.97 inference(unit_resolution,[status(thm)],[2911, 46, 2856])).
% 4.10/2.97 tff(2913,plain,
% 4.10/2.97 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s30, c_c2) | node9(s30) | node8(s30) | node10(s30) | node11(s30) | node12(s30) | node13(s30, s31) | (~node14(s30, s31)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s30, c_c2) | node9(s30) | node8(s30) | node10(s30) | node11(s30) | node12(s30) | node13(s30, s31) | (~node14(s30, s31)))),
% 4.10/2.97 inference(rewrite,[status(thm)],[])).
% 4.10/2.97 tff(2914,plain,
% 4.10/2.97 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s30, c_c2) | node9(s30) | node8(s30) | node10(s30) | node11(s30) | node12(s30) | node13(s30, s31) | (~node14(s30, s31)))),
% 4.10/2.97 inference(quant_inst,[status(thm)],[])).
% 4.10/2.97 tff(2915,plain,
% 4.10/2.97 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s30, c_c2) | node9(s30) | node8(s30) | node10(s30) | node11(s30) | node12(s30) | node13(s30, s31) | (~node14(s30, s31))),
% 4.10/2.97 inference(modus_ponens,[status(thm)],[2914, 2913])).
% 4.10/2.97 tff(2916,plain,
% 4.10/2.97 (m_main_v_state2(s30, c_c2) | node9(s30) | node8(s30) | node10(s30) | node11(s30) | node12(s30) | node13(s30, s31)),
% 4.10/2.97 inference(unit_resolution,[status(thm)],[2915, 296, 2912])).
% 4.10/2.97 tff(2917,plain,
% 4.10/2.97 (node13(s30, s31)),
% 4.10/2.97 inference(unit_resolution,[status(thm)],[2916, 2908, 2833, 2904, 2900, 2896, 2892])).
% 4.10/2.97 tff(2918,plain,
% 4.10/2.97 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s30, c_t2)) | m_main_v_state2(s31, c_t2) | (~node13(s30, s31)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s30, c_t2)) | m_main_v_state2(s31, c_t2) | (~node13(s30, s31)))),
% 4.10/2.97 inference(rewrite,[status(thm)],[])).
% 4.10/2.97 tff(2919,plain,
% 4.10/2.97 (((~node13(s30, s31)) | (~m_main_v_state2(s30, c_t2)) | m_main_v_state2(s31, c_t2)) <=> ((~m_main_v_state2(s30, c_t2)) | m_main_v_state2(s31, c_t2) | (~node13(s30, s31)))),
% 4.10/2.97 inference(rewrite,[status(thm)],[])).
% 4.10/2.97 tff(2920,plain,
% 4.10/2.97 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s30, s31)) | (~m_main_v_state2(s30, c_t2)) | m_main_v_state2(s31, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s30, c_t2)) | m_main_v_state2(s31, c_t2) | (~node13(s30, s31))))),
% 4.10/2.97 inference(monotonicity,[status(thm)],[2919])).
% 4.10/2.97 tff(2921,plain,
% 4.10/2.97 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s30, s31)) | (~m_main_v_state2(s30, c_t2)) | m_main_v_state2(s31, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s30, c_t2)) | m_main_v_state2(s31, c_t2) | (~node13(s30, s31)))),
% 4.10/2.97 inference(transitivity,[status(thm)],[2920, 2918])).
% 4.10/2.97 tff(2922,plain,
% 4.10/2.97 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s30, s31)) | (~m_main_v_state2(s30, c_t2)) | m_main_v_state2(s31, c_t2))),
% 4.10/2.97 inference(quant_inst,[status(thm)],[])).
% 4.10/2.97 tff(2923,plain,
% 4.10/2.97 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s30, c_t2)) | m_main_v_state2(s31, c_t2) | (~node13(s30, s31))),
% 4.10/2.97 inference(modus_ponens,[status(thm)],[2922, 2921])).
% 4.10/2.97 tff(2924,plain,
% 4.10/2.97 (m_main_v_state2(s31, c_t2)),
% 4.10/2.97 inference(unit_resolution,[status(thm)],[2923, 518, 2821, 2917])).
% 4.10/2.97 tff(2925,plain,
% 4.10/2.97 (succ(s31, s32) <=> succ(s31, s32)),
% 4.10/2.97 inference(rewrite,[status(thm)],[])).
% 4.10/2.97 tff(2926,axiom,(succ(s31, s32)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound32')).
% 4.10/2.97 tff(2927,plain,
% 4.10/2.97 (succ(s31, s32)),
% 4.10/2.97 inference(modus_ponens,[status(thm)],[2926, 2925])).
% 4.10/2.97 tff(2928,plain,
% 4.10/2.97 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s31, s32)) | trans(s31, s32))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s31, s32)) | trans(s31, s32))),
% 4.10/2.97 inference(rewrite,[status(thm)],[])).
% 4.10/2.97 tff(2929,plain,
% 4.10/2.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s31, s32)) | trans(s31, s32))),
% 4.10/2.97 inference(quant_inst,[status(thm)],[])).
% 4.10/2.97 tff(2930,plain,
% 4.10/2.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s31, s32)) | trans(s31, s32)),
% 4.10/2.97 inference(modus_ponens,[status(thm)],[2929, 2928])).
% 4.10/2.97 tff(2931,plain,
% 4.10/2.97 (trans(s31, s32)),
% 4.10/2.97 inference(unit_resolution,[status(thm)],[2930, 2927, 32])).
% 4.10/2.97 tff(2932,plain,
% 4.10/2.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s31, s32)) | node7(s31, s32))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s31, s32)) | node7(s31, s32))),
% 4.10/2.97 inference(rewrite,[status(thm)],[])).
% 4.10/2.97 tff(2933,plain,
% 4.10/2.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s31, s32)) | node7(s31, s32))),
% 4.10/2.97 inference(quant_inst,[status(thm)],[])).
% 4.10/2.97 tff(2934,plain,
% 4.10/2.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s31, s32)) | node7(s31, s32)),
% 4.10/2.97 inference(modus_ponens,[status(thm)],[2933, 2932])).
% 4.10/2.97 tff(2935,plain,
% 4.10/2.97 (node7(s31, s32)),
% 4.10/2.97 inference(unit_resolution,[status(thm)],[2934, 206, 2931])).
% 4.10/2.97 tff(2936,plain,
% 4.10/2.97 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s31, c_n1)) | (~m_main_v_state2(s31, c_t2)) | (~node7(s31, s32)) | m_main_v_state1(s32, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s31, c_n1)) | (~m_main_v_state2(s31, c_t2)) | (~node7(s31, s32)) | m_main_v_state1(s32, c_t1))),
% 4.10/2.97 inference(rewrite,[status(thm)],[])).
% 4.10/2.97 tff(2937,plain,
% 4.10/2.97 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s31, c_n1)) | (~m_main_v_state2(s31, c_t2)) | (~node7(s31, s32)) | m_main_v_state1(s32, c_t1))),
% 4.10/2.97 inference(quant_inst,[status(thm)],[])).
% 4.10/2.97 tff(2938,plain,
% 4.10/2.97 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s31, c_n1)) | (~m_main_v_state2(s31, c_t2)) | (~node7(s31, s32)) | m_main_v_state1(s32, c_t1)),
% 4.10/2.97 inference(modus_ponens,[status(thm)],[2937, 2936])).
% 4.10/2.97 tff(2939,plain,
% 4.10/2.97 ((~m_main_v_state1(s31, c_n1)) | (~m_main_v_state2(s31, c_t2)) | m_main_v_state1(s32, c_t1)),
% 4.10/2.97 inference(unit_resolution,[status(thm)],[2938, 651, 2935])).
% 4.10/2.97 tff(2940,plain,
% 4.10/2.97 (m_main_v_state1(s32, c_t1)),
% 4.10/2.97 inference(unit_resolution,[status(thm)],[2939, 2924, 2868])).
% 4.10/2.97 tff(2941,plain,
% 4.10/2.97 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s32, c_n1)) | (~m_main_v_state1(s32, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s32, c_n1)) | (~m_main_v_state1(s32, c_t1)))),
% 4.10/2.97 inference(rewrite,[status(thm)],[])).
% 4.10/2.97 tff(2942,plain,
% 4.10/2.97 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s32, c_n1)) | (~m_main_v_state1(s32, c_t1)))),
% 4.10/2.97 inference(quant_inst,[status(thm)],[])).
% 4.10/2.97 tff(2943,plain,
% 4.10/2.97 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s32, c_n1)) | (~m_main_v_state1(s32, c_t1))),
% 4.10/2.97 inference(modus_ponens,[status(thm)],[2942, 2941])).
% 4.10/2.97 tff(2944,plain,
% 4.10/2.97 (~m_main_v_state1(s32, c_n1)),
% 4.10/2.97 inference(unit_resolution,[status(thm)],[2943, 10, 2940])).
% 4.10/2.97 tff(2945,plain,
% 4.10/2.97 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s32, c_n1) | (~node1(s32)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s32, c_n1) | (~node1(s32)))),
% 4.10/2.97 inference(rewrite,[status(thm)],[])).
% 4.10/2.97 tff(2946,plain,
% 4.10/2.97 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s32, c_n1) | (~node1(s32)))),
% 4.10/2.97 inference(quant_inst,[status(thm)],[])).
% 4.10/2.97 tff(2947,plain,
% 4.10/2.97 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s32, c_n1) | (~node1(s32))),
% 4.10/2.97 inference(modus_ponens,[status(thm)],[2946, 2945])).
% 4.10/2.97 tff(2948,plain,
% 4.10/2.97 (~node1(s32)),
% 4.10/2.97 inference(unit_resolution,[status(thm)],[2947, 421, 2944])).
% 4.10/2.97 tff(2949,plain,
% 4.10/2.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s31, s32)) | node18(s31, s32))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s31, s32)) | node18(s31, s32))),
% 4.10/2.97 inference(rewrite,[status(thm)],[])).
% 4.10/2.97 tff(2950,plain,
% 4.10/2.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s31, s32)) | node18(s31, s32))),
% 4.10/2.97 inference(quant_inst,[status(thm)],[])).
% 4.10/2.97 tff(2951,plain,
% 4.10/2.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s31, s32)) | node18(s31, s32)),
% 4.10/2.97 inference(modus_ponens,[status(thm)],[2950, 2949])).
% 4.10/2.97 tff(2952,plain,
% 4.10/2.97 (node18(s31, s32)),
% 4.10/2.97 inference(unit_resolution,[status(thm)],[2951, 125, 2931])).
% 4.10/2.97 tff(2953,plain,
% 4.10/2.97 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s31, c_n1)) | (~m_main_v_state2(s31, c_t2)) | (~node18(s31, s32)) | m_main_v_turn(s32, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s31, c_n1)) | (~m_main_v_state2(s31, c_t2)) | (~node18(s31, s32)) | m_main_v_turn(s32, c_2))),
% 4.10/2.97 inference(rewrite,[status(thm)],[])).
% 4.10/2.97 tff(2954,plain,
% 4.10/2.97 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s31, c_n1)) | (~m_main_v_state2(s31, c_t2)) | (~node18(s31, s32)) | m_main_v_turn(s32, c_2))),
% 4.10/2.97 inference(quant_inst,[status(thm)],[])).
% 4.10/2.97 tff(2955,plain,
% 4.10/2.97 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s31, c_n1)) | (~m_main_v_state2(s31, c_t2)) | (~node18(s31, s32)) | m_main_v_turn(s32, c_2)),
% 4.10/2.97 inference(modus_ponens,[status(thm)],[2954, 2953])).
% 4.10/2.97 tff(2956,plain,
% 4.10/2.97 ((~m_main_v_state1(s31, c_n1)) | (~m_main_v_state2(s31, c_t2)) | m_main_v_turn(s32, c_2)),
% 4.10/2.97 inference(unit_resolution,[status(thm)],[2955, 760, 2952])).
% 4.10/2.97 tff(2957,plain,
% 4.10/2.97 (m_main_v_turn(s32, c_2)),
% 4.10/2.97 inference(unit_resolution,[status(thm)],[2956, 2924, 2868])).
% 4.10/2.97 tff(2958,plain,
% 4.10/2.97 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s32, c_1)) | (~m_main_v_turn(s32, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s32, c_1)) | (~m_main_v_turn(s32, c_2)))),
% 4.10/2.98 inference(rewrite,[status(thm)],[])).
% 4.10/2.98 tff(2959,plain,
% 4.10/2.98 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s32, c_1)) | (~m_main_v_turn(s32, c_2)))),
% 4.10/2.98 inference(quant_inst,[status(thm)],[])).
% 4.10/2.98 tff(2960,plain,
% 4.10/2.98 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s32, c_1)) | (~m_main_v_turn(s32, c_2))),
% 4.10/2.98 inference(modus_ponens,[status(thm)],[2959, 2958])).
% 4.10/2.98 tff(2961,plain,
% 4.10/2.98 (~m_main_v_turn(s32, c_1)),
% 4.10/2.98 inference(unit_resolution,[status(thm)],[2960, 156, 2957])).
% 4.10/2.98 tff(2962,plain,
% 4.10/2.98 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s32, c_1) | (~node5(s32)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s32, c_1) | (~node5(s32)))),
% 4.10/2.98 inference(rewrite,[status(thm)],[])).
% 4.10/2.98 tff(2963,plain,
% 4.10/2.98 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s32, c_1) | (~node5(s32)))),
% 4.10/2.98 inference(quant_inst,[status(thm)],[])).
% 4.10/2.98 tff(2964,plain,
% 4.10/2.98 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s32, c_1) | (~node5(s32))),
% 4.10/2.98 inference(modus_ponens,[status(thm)],[2963, 2962])).
% 4.10/2.98 tff(2965,plain,
% 4.10/2.98 (~node5(s32)),
% 4.10/2.98 inference(unit_resolution,[status(thm)],[2964, 776, 2961])).
% 4.10/2.98 tff(2966,plain,
% 4.10/2.98 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s32, c_n1) | (~node2(s32)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s32, c_n1) | (~node2(s32)))),
% 4.10/2.98 inference(rewrite,[status(thm)],[])).
% 4.10/2.98 tff(2967,plain,
% 4.10/2.98 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s32, c_n1) | (~node2(s32)))),
% 4.10/2.98 inference(quant_inst,[status(thm)],[])).
% 4.10/2.98 tff(2968,plain,
% 4.10/2.98 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s32, c_n1) | (~node2(s32))),
% 4.10/2.98 inference(modus_ponens,[status(thm)],[2967, 2966])).
% 4.10/2.98 tff(2969,plain,
% 4.10/2.98 (~node2(s32)),
% 4.10/2.98 inference(unit_resolution,[status(thm)],[2968, 787, 2944])).
% 4.10/2.98 tff(2970,plain,
% 4.10/2.98 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s32, c_n1) | (~node3(s32)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s32, c_n1) | (~node3(s32)))),
% 4.10/2.98 inference(rewrite,[status(thm)],[])).
% 4.10/2.98 tff(2971,plain,
% 4.10/2.98 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s32, c_n1) | (~node3(s32)))),
% 4.10/2.98 inference(quant_inst,[status(thm)],[])).
% 4.10/2.98 tff(2972,plain,
% 4.10/2.98 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s32, c_n1) | (~node3(s32))),
% 4.10/2.98 inference(modus_ponens,[status(thm)],[2971, 2970])).
% 4.10/2.98 tff(2973,plain,
% 4.10/2.98 (~node3(s32)),
% 4.10/2.98 inference(unit_resolution,[status(thm)],[2972, 798, 2944])).
% 4.10/2.98 tff(2974,plain,
% 4.10/2.98 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s32, c_t1)) | (~m_main_v_state1(s32, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s32, c_t1)) | (~m_main_v_state1(s32, c_c1)))),
% 4.10/2.98 inference(rewrite,[status(thm)],[])).
% 4.10/2.98 tff(2975,plain,
% 4.10/2.98 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s32, c_t1)) | (~m_main_v_state1(s32, c_c1)))),
% 4.10/2.98 inference(quant_inst,[status(thm)],[])).
% 4.10/2.98 tff(2976,plain,
% 4.10/2.98 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s32, c_t1)) | (~m_main_v_state1(s32, c_c1))),
% 4.10/2.98 inference(modus_ponens,[status(thm)],[2975, 2974])).
% 4.10/2.98 tff(2977,plain,
% 4.10/2.98 (~m_main_v_state1(s32, c_c1)),
% 4.10/2.98 inference(unit_resolution,[status(thm)],[2976, 539, 2940])).
% 4.10/2.98 tff(2978,plain,
% 4.10/2.98 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s30, c_n2) | (~m_main_v_state2(s31, c_n2)) | (~node13(s30, s31)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s30, c_n2) | (~m_main_v_state2(s31, c_n2)) | (~node13(s30, s31)))),
% 4.10/2.98 inference(rewrite,[status(thm)],[])).
% 4.10/2.98 tff(2979,plain,
% 4.10/2.98 (((~node13(s30, s31)) | m_main_v_state2(s30, c_n2) | (~m_main_v_state2(s31, c_n2))) <=> (m_main_v_state2(s30, c_n2) | (~m_main_v_state2(s31, c_n2)) | (~node13(s30, s31)))),
% 4.10/2.98 inference(rewrite,[status(thm)],[])).
% 4.10/2.98 tff(2980,plain,
% 4.10/2.98 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s30, s31)) | m_main_v_state2(s30, c_n2) | (~m_main_v_state2(s31, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s30, c_n2) | (~m_main_v_state2(s31, c_n2)) | (~node13(s30, s31))))),
% 4.10/2.98 inference(monotonicity,[status(thm)],[2979])).
% 4.10/2.98 tff(2981,plain,
% 4.10/2.98 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s30, s31)) | m_main_v_state2(s30, c_n2) | (~m_main_v_state2(s31, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s30, c_n2) | (~m_main_v_state2(s31, c_n2)) | (~node13(s30, s31)))),
% 4.10/2.98 inference(transitivity,[status(thm)],[2980, 2978])).
% 4.10/2.98 tff(2982,plain,
% 4.10/2.98 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s30, s31)) | m_main_v_state2(s30, c_n2) | (~m_main_v_state2(s31, c_n2)))),
% 4.10/2.98 inference(quant_inst,[status(thm)],[])).
% 4.10/2.98 tff(2983,plain,
% 4.10/2.98 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s30, c_n2) | (~m_main_v_state2(s31, c_n2)) | (~node13(s30, s31))),
% 4.10/2.98 inference(modus_ponens,[status(thm)],[2982, 2981])).
% 4.10/2.98 tff(2984,plain,
% 4.10/2.98 (~m_main_v_state2(s31, c_n2)),
% 4.10/2.98 inference(unit_resolution,[status(thm)],[2983, 311, 2825, 2917])).
% 4.10/2.98 tff(2985,plain,
% 4.10/2.98 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s31, c_n2) | (~node9(s31)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s31, c_n2) | (~node9(s31)))),
% 4.10/2.98 inference(rewrite,[status(thm)],[])).
% 4.10/2.98 tff(2986,plain,
% 4.10/2.98 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s31, c_n2) | (~node9(s31)))),
% 4.10/2.98 inference(quant_inst,[status(thm)],[])).
% 4.10/2.98 tff(2987,plain,
% 4.10/2.98 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s31, c_n2) | (~node9(s31))),
% 4.10/2.98 inference(modus_ponens,[status(thm)],[2986, 2985])).
% 4.10/2.98 tff(2988,plain,
% 4.10/2.98 (~node9(s31)),
% 4.10/2.98 inference(unit_resolution,[status(thm)],[2987, 88, 2984])).
% 4.10/2.98 tff(2989,plain,
% 4.10/2.98 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s31, c_n2) | (~node10(s31)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s31, c_n2) | (~node10(s31)))),
% 4.10/2.98 inference(rewrite,[status(thm)],[])).
% 4.10/2.98 tff(2990,plain,
% 4.10/2.98 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s31, c_n2) | (~node10(s31)))),
% 4.10/2.98 inference(quant_inst,[status(thm)],[])).
% 4.10/2.98 tff(2991,plain,
% 4.10/2.98 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s31, c_n2) | (~node10(s31))),
% 4.10/2.98 inference(modus_ponens,[status(thm)],[2990, 2989])).
% 4.10/2.98 tff(2992,plain,
% 4.10/2.98 (~node10(s31)),
% 4.10/2.98 inference(unit_resolution,[status(thm)],[2991, 249, 2984])).
% 4.10/2.98 tff(2993,plain,
% 4.10/2.98 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s31, c_n2) | (~node8(s31)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s31, c_n2) | (~node8(s31)))),
% 4.10/2.98 inference(rewrite,[status(thm)],[])).
% 4.10/2.98 tff(2994,plain,
% 4.10/2.98 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s31, c_n2) | (~node8(s31)))),
% 4.10/2.98 inference(quant_inst,[status(thm)],[])).
% 4.10/2.98 tff(2995,plain,
% 4.10/2.98 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s31, c_n2) | (~node8(s31))),
% 4.10/2.98 inference(modus_ponens,[status(thm)],[2994, 2993])).
% 4.10/2.98 tff(2996,plain,
% 4.10/2.98 (~node8(s31)),
% 4.10/2.98 inference(unit_resolution,[status(thm)],[2995, 271, 2984])).
% 4.10/2.98 tff(2997,plain,
% 4.10/2.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s31, s32)) | node14(s31, s32))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s31, s32)) | node14(s31, s32))),
% 4.10/2.98 inference(rewrite,[status(thm)],[])).
% 4.10/2.98 tff(2998,plain,
% 4.10/2.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s31, s32)) | node14(s31, s32))),
% 4.10/2.98 inference(quant_inst,[status(thm)],[])).
% 4.10/2.98 tff(2999,plain,
% 4.10/2.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s31, s32)) | node14(s31, s32)),
% 4.10/2.98 inference(modus_ponens,[status(thm)],[2998, 2997])).
% 4.10/2.98 tff(3000,plain,
% 4.10/2.98 (node14(s31, s32)),
% 4.10/2.98 inference(unit_resolution,[status(thm)],[2999, 46, 2931])).
% 4.10/2.98 tff(3001,plain,
% 4.10/2.98 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s31, c_n1)) | (~m_main_v_state2(s31, c_t2)) | node9(s31) | node8(s31) | node10(s31) | (~node14(s31, s32)) | m_main_v_state2(s32, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s31, c_n1)) | (~m_main_v_state2(s31, c_t2)) | node9(s31) | node8(s31) | node10(s31) | (~node14(s31, s32)) | m_main_v_state2(s32, c_c2))),
% 4.10/2.98 inference(rewrite,[status(thm)],[])).
% 4.10/2.98 tff(3002,plain,
% 4.10/2.98 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s31, c_n1)) | (~m_main_v_state2(s31, c_t2)) | node9(s31) | node8(s31) | node10(s31) | (~node14(s31, s32)) | m_main_v_state2(s32, c_c2))),
% 4.10/2.98 inference(quant_inst,[status(thm)],[])).
% 4.10/2.98 tff(3003,plain,
% 4.10/2.98 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s31, c_n1)) | (~m_main_v_state2(s31, c_t2)) | node9(s31) | node8(s31) | node10(s31) | (~node14(s31, s32)) | m_main_v_state2(s32, c_c2)),
% 4.10/2.98 inference(modus_ponens,[status(thm)],[3002, 3001])).
% 4.10/2.98 tff(3004,plain,
% 4.10/2.98 ((~m_main_v_state1(s31, c_n1)) | (~m_main_v_state2(s31, c_t2)) | node9(s31) | node8(s31) | node10(s31) | m_main_v_state2(s32, c_c2)),
% 4.10/2.98 inference(unit_resolution,[status(thm)],[3003, 617, 3000])).
% 4.10/2.98 tff(3005,plain,
% 4.10/2.98 (m_main_v_state2(s32, c_c2)),
% 4.10/2.98 inference(unit_resolution,[status(thm)],[3004, 2996, 2868, 2924, 2992, 2988])).
% 4.10/2.98 tff(3006,plain,
% 4.10/2.98 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s32, c_n2)) | (~m_main_v_state2(s32, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s32, c_n2)) | (~m_main_v_state2(s32, c_c2)))),
% 4.10/2.98 inference(rewrite,[status(thm)],[])).
% 4.10/2.98 tff(3007,plain,
% 4.10/2.98 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s32, c_n2)) | (~m_main_v_state2(s32, c_c2)))),
% 4.10/2.98 inference(quant_inst,[status(thm)],[])).
% 4.10/2.98 tff(3008,plain,
% 4.10/2.98 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s32, c_n2)) | (~m_main_v_state2(s32, c_c2))),
% 4.10/2.98 inference(modus_ponens,[status(thm)],[3007, 3006])).
% 4.10/2.98 tff(3009,plain,
% 4.10/2.98 (~m_main_v_state2(s32, c_n2)),
% 4.10/2.98 inference(unit_resolution,[status(thm)],[3008, 697, 3005])).
% 4.10/2.98 tff(3010,plain,
% 4.10/2.98 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s32, c_n2) | (~node4(s32)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s32, c_n2) | (~node4(s32)))),
% 4.10/2.98 inference(rewrite,[status(thm)],[])).
% 4.10/2.98 tff(3011,plain,
% 4.10/2.98 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s32, c_n2) | (~node4(s32)))),
% 4.10/2.98 inference(quant_inst,[status(thm)],[])).
% 4.10/2.98 tff(3012,plain,
% 4.10/2.98 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s32, c_n2) | (~node4(s32))),
% 4.10/2.98 inference(modus_ponens,[status(thm)],[3011, 3010])).
% 4.10/2.98 tff(3013,plain,
% 4.10/2.98 (~node4(s32)),
% 4.10/2.98 inference(unit_resolution,[status(thm)],[3012, 388, 3009])).
% 4.10/2.98 tff(3014,plain,
% 4.10/2.98 (succ(s32, s33) <=> succ(s32, s33)),
% 4.10/2.98 inference(rewrite,[status(thm)],[])).
% 4.10/2.98 tff(3015,axiom,(succ(s32, s33)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound33')).
% 4.10/2.98 tff(3016,plain,
% 4.10/2.98 (succ(s32, s33)),
% 4.10/2.98 inference(modus_ponens,[status(thm)],[3015, 3014])).
% 4.10/2.98 tff(3017,plain,
% 4.10/2.98 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s32, s33)) | trans(s32, s33))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s32, s33)) | trans(s32, s33))),
% 4.10/2.98 inference(rewrite,[status(thm)],[])).
% 4.10/2.98 tff(3018,plain,
% 4.10/2.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s32, s33)) | trans(s32, s33))),
% 4.10/2.98 inference(quant_inst,[status(thm)],[])).
% 4.10/2.98 tff(3019,plain,
% 4.10/2.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s32, s33)) | trans(s32, s33)),
% 4.10/2.98 inference(modus_ponens,[status(thm)],[3018, 3017])).
% 4.10/2.98 tff(3020,plain,
% 4.10/2.98 (trans(s32, s33)),
% 4.10/2.98 inference(unit_resolution,[status(thm)],[3019, 3016, 32])).
% 4.10/2.98 tff(3021,plain,
% 4.10/2.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s32, s33)) | node7(s32, s33))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s32, s33)) | node7(s32, s33))),
% 4.10/2.98 inference(rewrite,[status(thm)],[])).
% 4.10/2.98 tff(3022,plain,
% 4.10/2.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s32, s33)) | node7(s32, s33))),
% 4.10/2.98 inference(quant_inst,[status(thm)],[])).
% 4.10/2.98 tff(3023,plain,
% 4.10/2.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s32, s33)) | node7(s32, s33)),
% 4.10/2.98 inference(modus_ponens,[status(thm)],[3022, 3021])).
% 4.10/2.98 tff(3024,plain,
% 4.10/2.98 (node7(s32, s33)),
% 4.10/2.98 inference(unit_resolution,[status(thm)],[3023, 206, 3020])).
% 4.10/2.98 tff(3025,plain,
% 4.10/2.98 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s32, c_c1) | node1(s32) | node2(s32) | node3(s32) | node4(s32) | node5(s32) | node6(s32, s33) | (~node7(s32, s33)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s32, c_c1) | node1(s32) | node2(s32) | node3(s32) | node4(s32) | node5(s32) | node6(s32, s33) | (~node7(s32, s33)))),
% 4.10/2.98 inference(rewrite,[status(thm)],[])).
% 4.10/2.98 tff(3026,plain,
% 4.10/2.98 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s32, c_c1) | node1(s32) | node2(s32) | node3(s32) | node4(s32) | node5(s32) | node6(s32, s33) | (~node7(s32, s33)))),
% 4.10/2.98 inference(quant_inst,[status(thm)],[])).
% 4.10/2.98 tff(3027,plain,
% 4.10/2.98 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s32, c_c1) | node1(s32) | node2(s32) | node3(s32) | node4(s32) | node5(s32) | node6(s32, s33) | (~node7(s32, s33))),
% 4.10/2.98 inference(modus_ponens,[status(thm)],[3026, 3025])).
% 4.10/2.98 tff(3028,plain,
% 4.10/2.98 (m_main_v_state1(s32, c_c1) | node1(s32) | node2(s32) | node3(s32) | node4(s32) | node5(s32) | node6(s32, s33)),
% 4.10/2.98 inference(unit_resolution,[status(thm)],[3027, 820, 3024])).
% 4.10/2.98 tff(3029,plain,
% 4.10/2.98 (node6(s32, s33)),
% 4.10/2.98 inference(unit_resolution,[status(thm)],[3028, 3013, 2977, 2973, 2969, 2965, 2948])).
% 4.10/2.98 tff(3030,plain,
% 4.10/2.98 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s32, c_t1)) | m_main_v_state1(s33, c_t1) | (~node6(s32, s33)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s32, c_t1)) | m_main_v_state1(s33, c_t1) | (~node6(s32, s33)))),
% 4.10/2.98 inference(rewrite,[status(thm)],[])).
% 4.10/2.98 tff(3031,plain,
% 4.10/2.98 (((~node6(s32, s33)) | (~m_main_v_state1(s32, c_t1)) | m_main_v_state1(s33, c_t1)) <=> ((~m_main_v_state1(s32, c_t1)) | m_main_v_state1(s33, c_t1) | (~node6(s32, s33)))),
% 4.10/2.98 inference(rewrite,[status(thm)],[])).
% 4.10/2.98 tff(3032,plain,
% 4.10/2.98 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s32, s33)) | (~m_main_v_state1(s32, c_t1)) | m_main_v_state1(s33, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s32, c_t1)) | m_main_v_state1(s33, c_t1) | (~node6(s32, s33))))),
% 4.10/2.98 inference(monotonicity,[status(thm)],[3031])).
% 4.10/2.98 tff(3033,plain,
% 4.10/2.98 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s32, s33)) | (~m_main_v_state1(s32, c_t1)) | m_main_v_state1(s33, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s32, c_t1)) | m_main_v_state1(s33, c_t1) | (~node6(s32, s33)))),
% 4.10/2.98 inference(transitivity,[status(thm)],[3032, 3030])).
% 4.10/2.98 tff(3034,plain,
% 4.10/2.98 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s32, s33)) | (~m_main_v_state1(s32, c_t1)) | m_main_v_state1(s33, c_t1))),
% 4.10/2.98 inference(quant_inst,[status(thm)],[])).
% 4.10/2.98 tff(3035,plain,
% 4.10/2.98 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s32, c_t1)) | m_main_v_state1(s33, c_t1) | (~node6(s32, s33))),
% 4.10/2.98 inference(modus_ponens,[status(thm)],[3034, 3033])).
% 4.10/2.98 tff(3036,plain,
% 4.10/2.98 (m_main_v_state1(s33, c_t1)),
% 4.10/2.98 inference(unit_resolution,[status(thm)],[3035, 856, 2940, 3029])).
% 4.10/2.98 tff(3037,plain,
% 4.10/2.98 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s32, c_t2)) | (~m_main_v_state2(s32, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s32, c_t2)) | (~m_main_v_state2(s32, c_c2)))),
% 4.10/2.98 inference(rewrite,[status(thm)],[])).
% 4.10/2.98 tff(3038,plain,
% 4.10/2.98 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s32, c_t2)) | (~m_main_v_state2(s32, c_c2)))),
% 4.10/2.98 inference(quant_inst,[status(thm)],[])).
% 4.10/2.98 tff(3039,plain,
% 4.10/2.98 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s32, c_t2)) | (~m_main_v_state2(s32, c_c2))),
% 4.10/2.98 inference(modus_ponens,[status(thm)],[3038, 3037])).
% 4.10/2.98 tff(3040,plain,
% 4.10/2.98 (~m_main_v_state2(s32, c_t2)),
% 4.10/2.98 inference(unit_resolution,[status(thm)],[3039, 260, 3005])).
% 4.10/2.98 tff(3041,plain,
% 4.10/2.98 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s32, c_t2) | (~node12(s32)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s32, c_t2) | (~node12(s32)))),
% 4.10/2.98 inference(rewrite,[status(thm)],[])).
% 4.10/2.98 tff(3042,plain,
% 4.10/2.98 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s32, c_t2) | (~node12(s32)))),
% 4.10/2.98 inference(quant_inst,[status(thm)],[])).
% 4.10/2.98 tff(3043,plain,
% 4.10/2.98 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s32, c_t2) | (~node12(s32))),
% 4.10/2.98 inference(modus_ponens,[status(thm)],[3042, 3041])).
% 4.10/2.98 tff(3044,plain,
% 4.10/2.98 (~node12(s32)),
% 4.10/2.98 inference(unit_resolution,[status(thm)],[3043, 633, 3040])).
% 4.10/2.98 tff(3045,plain,
% 4.10/2.98 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s32, c_n1) | (~node11(s32)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s32, c_n1) | (~node11(s32)))),
% 4.10/2.98 inference(rewrite,[status(thm)],[])).
% 4.10/2.98 tff(3046,plain,
% 4.10/2.98 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s32, c_n1) | (~node11(s32)))),
% 4.10/2.98 inference(quant_inst,[status(thm)],[])).
% 4.10/2.98 tff(3047,plain,
% 4.10/2.98 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s32, c_n1) | (~node11(s32))),
% 4.10/2.98 inference(modus_ponens,[status(thm)],[3046, 3045])).
% 4.10/2.98 tff(3048,plain,
% 4.10/2.98 (~node11(s32)),
% 4.10/2.98 inference(unit_resolution,[status(thm)],[3047, 238, 2944])).
% 4.10/2.98 tff(3049,plain,
% 4.10/2.98 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s32, c_c1) | (~node10(s32)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s32, c_c1) | (~node10(s32)))),
% 4.10/2.98 inference(rewrite,[status(thm)],[])).
% 4.10/2.98 tff(3050,plain,
% 4.10/2.98 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s32, c_c1) | (~node10(s32)))),
% 4.10/2.98 inference(quant_inst,[status(thm)],[])).
% 4.10/2.98 tff(3051,plain,
% 4.10/2.98 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s32, c_c1) | (~node10(s32))),
% 4.10/2.98 inference(modus_ponens,[status(thm)],[3050, 3049])).
% 4.10/2.98 tff(3052,plain,
% 4.10/2.98 (~node10(s32)),
% 4.10/2.98 inference(unit_resolution,[status(thm)],[3051, 675, 2977])).
% 4.10/2.98 tff(3053,plain,
% 4.10/2.98 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s32, c_n1) | (~node9(s32)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s32, c_n1) | (~node9(s32)))),
% 4.10/2.98 inference(rewrite,[status(thm)],[])).
% 4.10/2.98 tff(3054,plain,
% 4.10/2.98 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s32, c_n1) | (~node9(s32)))),
% 4.10/2.98 inference(quant_inst,[status(thm)],[])).
% 4.10/2.98 tff(3055,plain,
% 4.10/2.98 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s32, c_n1) | (~node9(s32))),
% 4.10/2.98 inference(modus_ponens,[status(thm)],[3054, 3053])).
% 4.10/2.98 tff(3056,plain,
% 4.10/2.98 (~node9(s32)),
% 4.10/2.98 inference(unit_resolution,[status(thm)],[3055, 686, 2944])).
% 4.10/2.98 tff(3057,plain,
% 4.10/2.98 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s32, c_n2) | (~node8(s32)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s32, c_n2) | (~node8(s32)))),
% 4.10/2.98 inference(rewrite,[status(thm)],[])).
% 4.10/2.98 tff(3058,plain,
% 4.10/2.98 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s32, c_n2) | (~node8(s32)))),
% 4.10/2.98 inference(quant_inst,[status(thm)],[])).
% 4.10/2.98 tff(3059,plain,
% 4.10/2.98 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s32, c_n2) | (~node8(s32))),
% 4.10/2.98 inference(modus_ponens,[status(thm)],[3058, 3057])).
% 4.10/2.98 tff(3060,plain,
% 4.10/2.98 (~node8(s32)),
% 4.10/2.98 inference(unit_resolution,[status(thm)],[3059, 271, 3009])).
% 4.10/2.98 tff(3061,plain,
% 4.10/2.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s32, s33)) | node14(s32, s33))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s32, s33)) | node14(s32, s33))),
% 4.10/2.98 inference(rewrite,[status(thm)],[])).
% 4.10/2.98 tff(3062,plain,
% 4.10/2.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s32, s33)) | node14(s32, s33))),
% 4.10/2.98 inference(quant_inst,[status(thm)],[])).
% 4.10/2.98 tff(3063,plain,
% 4.10/2.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s32, s33)) | node14(s32, s33)),
% 4.10/2.98 inference(modus_ponens,[status(thm)],[3062, 3061])).
% 4.10/2.98 tff(3064,plain,
% 4.10/2.98 (node14(s32, s33)),
% 4.10/2.98 inference(unit_resolution,[status(thm)],[3063, 46, 3020])).
% 4.10/2.98 tff(3065,plain,
% 4.10/2.98 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s33, c_n2) | node9(s32) | node8(s32) | node10(s32) | node11(s32) | node12(s32) | (~node14(s32, s33)) | (~m_main_v_state2(s32, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s33, c_n2) | node9(s32) | node8(s32) | node10(s32) | node11(s32) | node12(s32) | (~node14(s32, s33)) | (~m_main_v_state2(s32, c_c2)))),
% 4.10/2.98 inference(rewrite,[status(thm)],[])).
% 4.10/2.98 tff(3066,plain,
% 4.10/2.98 (((~m_main_v_state2(s32, c_c2)) | node9(s32) | node8(s32) | node10(s32) | node11(s32) | node12(s32) | (~node14(s32, s33)) | m_main_v_state2(s33, c_n2)) <=> (m_main_v_state2(s33, c_n2) | node9(s32) | node8(s32) | node10(s32) | node11(s32) | node12(s32) | (~node14(s32, s33)) | (~m_main_v_state2(s32, c_c2)))),
% 4.10/2.98 inference(rewrite,[status(thm)],[])).
% 4.10/2.98 tff(3067,plain,
% 4.10/2.98 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s32, c_c2)) | node9(s32) | node8(s32) | node10(s32) | node11(s32) | node12(s32) | (~node14(s32, s33)) | m_main_v_state2(s33, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s33, c_n2) | node9(s32) | node8(s32) | node10(s32) | node11(s32) | node12(s32) | (~node14(s32, s33)) | (~m_main_v_state2(s32, c_c2))))),
% 4.10/2.98 inference(monotonicity,[status(thm)],[3066])).
% 4.10/2.98 tff(3068,plain,
% 4.10/2.98 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s32, c_c2)) | node9(s32) | node8(s32) | node10(s32) | node11(s32) | node12(s32) | (~node14(s32, s33)) | m_main_v_state2(s33, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s33, c_n2) | node9(s32) | node8(s32) | node10(s32) | node11(s32) | node12(s32) | (~node14(s32, s33)) | (~m_main_v_state2(s32, c_c2)))),
% 4.10/2.98 inference(transitivity,[status(thm)],[3067, 3065])).
% 4.10/2.98 tff(3069,plain,
% 4.10/2.98 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s32, c_c2)) | node9(s32) | node8(s32) | node10(s32) | node11(s32) | node12(s32) | (~node14(s32, s33)) | m_main_v_state2(s33, c_n2))),
% 4.10/2.98 inference(quant_inst,[status(thm)],[])).
% 4.10/2.98 tff(3070,plain,
% 4.10/2.98 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s33, c_n2) | node9(s32) | node8(s32) | node10(s32) | node11(s32) | node12(s32) | (~node14(s32, s33)) | (~m_main_v_state2(s32, c_c2))),
% 4.10/2.98 inference(modus_ponens,[status(thm)],[3069, 3068])).
% 4.10/2.98 tff(3071,plain,
% 4.10/2.98 (m_main_v_state2(s33, c_n2) | node9(s32) | node8(s32) | node10(s32) | node11(s32) | node12(s32) | (~m_main_v_state2(s32, c_c2))),
% 4.10/2.98 inference(unit_resolution,[status(thm)],[3070, 726, 3064])).
% 4.10/2.98 tff(3072,plain,
% 4.10/2.98 (m_main_v_state2(s33, c_n2)),
% 4.10/2.98 inference(unit_resolution,[status(thm)],[3071, 3060, 3005, 3056, 3052, 3048, 3044])).
% 4.10/2.98 tff(3073,plain,
% 4.10/2.98 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s33, c_n2)) | (~m_main_v_state2(s33, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s33, c_n2)) | (~m_main_v_state2(s33, c_t2)))),
% 4.10/2.98 inference(rewrite,[status(thm)],[])).
% 4.10/2.98 tff(3074,plain,
% 4.10/2.98 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s33, c_n2)) | (~m_main_v_state2(s33, c_t2)))),
% 4.10/2.98 inference(quant_inst,[status(thm)],[])).
% 4.10/2.98 tff(3075,plain,
% 4.10/2.98 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s33, c_n2)) | (~m_main_v_state2(s33, c_t2))),
% 4.10/2.98 inference(modus_ponens,[status(thm)],[3074, 3073])).
% 4.10/2.98 tff(3076,plain,
% 4.10/2.98 (~m_main_v_state2(s33, c_t2)),
% 4.10/2.98 inference(unit_resolution,[status(thm)],[3075, 77, 3072])).
% 4.10/2.98 tff(3077,plain,
% 4.10/2.98 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s33, c_t2) | (~node15(s33)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s33, c_t2) | (~node15(s33)))),
% 4.10/2.98 inference(rewrite,[status(thm)],[])).
% 4.10/2.98 tff(3078,plain,
% 4.10/2.98 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s33, c_t2) | (~node15(s33)))),
% 4.10/2.98 inference(quant_inst,[status(thm)],[])).
% 4.10/2.98 tff(3079,plain,
% 4.10/2.98 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s33, c_t2) | (~node15(s33))),
% 4.10/2.98 inference(modus_ponens,[status(thm)],[3078, 3077])).
% 4.10/2.98 tff(3080,plain,
% 4.10/2.98 (~node15(s33)),
% 4.10/2.98 inference(unit_resolution,[status(thm)],[3079, 103, 3076])).
% 4.10/2.98 tff(3081,plain,
% 4.10/2.98 (succ(s33, s34) <=> succ(s33, s34)),
% 4.10/2.98 inference(rewrite,[status(thm)],[])).
% 4.10/2.98 tff(3082,axiom,(succ(s33, s34)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound34')).
% 4.10/2.98 tff(3083,plain,
% 4.10/2.98 (succ(s33, s34)),
% 4.10/2.98 inference(modus_ponens,[status(thm)],[3082, 3081])).
% 4.10/2.98 tff(3084,plain,
% 4.10/2.98 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s33, s34)) | trans(s33, s34))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s33, s34)) | trans(s33, s34))),
% 4.10/2.99 inference(rewrite,[status(thm)],[])).
% 4.10/2.99 tff(3085,plain,
% 4.10/2.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s33, s34)) | trans(s33, s34))),
% 4.10/2.99 inference(quant_inst,[status(thm)],[])).
% 4.10/2.99 tff(3086,plain,
% 4.10/2.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s33, s34)) | trans(s33, s34)),
% 4.10/2.99 inference(modus_ponens,[status(thm)],[3085, 3084])).
% 4.10/2.99 tff(3087,plain,
% 4.10/2.99 (trans(s33, s34)),
% 4.10/2.99 inference(unit_resolution,[status(thm)],[3086, 3083, 32])).
% 4.10/2.99 tff(3088,plain,
% 4.10/2.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s33, s34)) | node18(s33, s34))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s33, s34)) | node18(s33, s34))),
% 4.10/2.99 inference(rewrite,[status(thm)],[])).
% 4.10/2.99 tff(3089,plain,
% 4.10/2.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s33, s34)) | node18(s33, s34))),
% 4.10/2.99 inference(quant_inst,[status(thm)],[])).
% 4.10/2.99 tff(3090,plain,
% 4.10/2.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s33, s34)) | node18(s33, s34)),
% 4.10/2.99 inference(modus_ponens,[status(thm)],[3089, 3088])).
% 4.10/2.99 tff(3091,plain,
% 4.10/2.99 (node18(s33, s34)),
% 4.10/2.99 inference(unit_resolution,[status(thm)],[3090, 125, 3087])).
% 4.10/2.99 tff(3092,plain,
% 4.10/2.99 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s33) | (~node18(s33, s34)) | (~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | m_main_v_turn(s34, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s33) | (~node18(s33, s34)) | (~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | m_main_v_turn(s34, c_1))),
% 4.10/2.99 inference(rewrite,[status(thm)],[])).
% 4.10/2.99 tff(3093,plain,
% 4.10/2.99 (((~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | node15(s33) | (~node18(s33, s34)) | m_main_v_turn(s34, c_1)) <=> (node15(s33) | (~node18(s33, s34)) | (~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | m_main_v_turn(s34, c_1))),
% 4.10/2.99 inference(rewrite,[status(thm)],[])).
% 4.10/2.99 tff(3094,plain,
% 4.10/2.99 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | node15(s33) | (~node18(s33, s34)) | m_main_v_turn(s34, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s33) | (~node18(s33, s34)) | (~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | m_main_v_turn(s34, c_1)))),
% 4.10/2.99 inference(monotonicity,[status(thm)],[3093])).
% 4.10/2.99 tff(3095,plain,
% 4.10/2.99 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | node15(s33) | (~node18(s33, s34)) | m_main_v_turn(s34, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s33) | (~node18(s33, s34)) | (~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | m_main_v_turn(s34, c_1))),
% 4.10/2.99 inference(transitivity,[status(thm)],[3094, 3092])).
% 4.10/2.99 tff(3096,plain,
% 4.10/2.99 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | node15(s33) | (~node18(s33, s34)) | m_main_v_turn(s34, c_1))),
% 4.10/2.99 inference(quant_inst,[status(thm)],[])).
% 4.10/2.99 tff(3097,plain,
% 4.10/2.99 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s33) | (~node18(s33, s34)) | (~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | m_main_v_turn(s34, c_1)),
% 4.10/2.99 inference(modus_ponens,[status(thm)],[3096, 3095])).
% 4.10/2.99 tff(3098,plain,
% 4.10/2.99 (node15(s33) | (~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | m_main_v_turn(s34, c_1)),
% 4.10/2.99 inference(unit_resolution,[status(thm)],[3097, 992, 3091])).
% 4.10/2.99 tff(3099,plain,
% 4.10/2.99 (m_main_v_turn(s34, c_1)),
% 4.10/2.99 inference(unit_resolution,[status(thm)],[3098, 3080, 3072, 3036])).
% 4.10/2.99 tff(3100,plain,
% 4.10/2.99 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s34, c_1)) | (~m_main_v_turn(s34, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s34, c_1)) | (~m_main_v_turn(s34, c_2)))),
% 4.10/2.99 inference(rewrite,[status(thm)],[])).
% 4.10/2.99 tff(3101,plain,
% 4.10/2.99 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s34, c_1)) | (~m_main_v_turn(s34, c_2)))),
% 4.10/2.99 inference(quant_inst,[status(thm)],[])).
% 4.10/2.99 tff(3102,plain,
% 4.10/2.99 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s34, c_1)) | (~m_main_v_turn(s34, c_2))),
% 4.10/2.99 inference(modus_ponens,[status(thm)],[3101, 3100])).
% 4.10/2.99 tff(3103,plain,
% 4.10/2.99 (~m_main_v_turn(s34, c_2)),
% 4.10/2.99 inference(unit_resolution,[status(thm)],[3102, 156, 3099])).
% 4.10/2.99 tff(3104,plain,
% 4.10/2.99 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s34, c_2) | (~node12(s34)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s34, c_2) | (~node12(s34)))),
% 4.10/2.99 inference(rewrite,[status(thm)],[])).
% 4.10/2.99 tff(3105,plain,
% 4.10/2.99 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s34, c_2) | (~node12(s34)))),
% 4.10/2.99 inference(quant_inst,[status(thm)],[])).
% 4.10/2.99 tff(3106,plain,
% 4.10/2.99 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s34, c_2) | (~node12(s34))),
% 4.10/2.99 inference(modus_ponens,[status(thm)],[3105, 3104])).
% 4.10/2.99 tff(3107,plain,
% 4.10/2.99 (~node12(s34)),
% 4.10/2.99 inference(unit_resolution,[status(thm)],[3106, 184, 3103])).
% 4.10/2.99 tff(3108,plain,
% 4.10/2.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s33, s34)) | node14(s33, s34))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s33, s34)) | node14(s33, s34))),
% 4.10/2.99 inference(rewrite,[status(thm)],[])).
% 4.10/2.99 tff(3109,plain,
% 4.10/2.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s33, s34)) | node14(s33, s34))),
% 4.10/2.99 inference(quant_inst,[status(thm)],[])).
% 4.10/2.99 tff(3110,plain,
% 4.10/2.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s33, s34)) | node14(s33, s34)),
% 4.10/2.99 inference(modus_ponens,[status(thm)],[3109, 3108])).
% 4.10/2.99 tff(3111,plain,
% 4.10/2.99 (node14(s33, s34)),
% 4.10/2.99 inference(unit_resolution,[status(thm)],[3110, 46, 3087])).
% 4.10/2.99 tff(3112,plain,
% 4.10/2.99 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | (~node14(s33, s34)) | m_main_v_state2(s34, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | (~node14(s33, s34)) | m_main_v_state2(s34, c_t2))),
% 4.10/2.99 inference(rewrite,[status(thm)],[])).
% 4.10/2.99 tff(3113,plain,
% 4.10/2.99 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | (~node14(s33, s34)) | m_main_v_state2(s34, c_t2))),
% 4.10/2.99 inference(quant_inst,[status(thm)],[])).
% 4.10/2.99 tff(3114,plain,
% 4.10/2.99 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | (~node14(s33, s34)) | m_main_v_state2(s34, c_t2)),
% 4.10/2.99 inference(modus_ponens,[status(thm)],[3113, 3112])).
% 4.10/2.99 tff(3115,plain,
% 4.10/2.99 ((~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | m_main_v_state2(s34, c_t2)),
% 4.10/2.99 inference(unit_resolution,[status(thm)],[3114, 922, 3111])).
% 4.10/2.99 tff(3116,plain,
% 4.10/2.99 (m_main_v_state2(s34, c_t2)),
% 4.10/2.99 inference(unit_resolution,[status(thm)],[3115, 3036, 3072])).
% 4.10/2.99 tff(3117,plain,
% 4.10/2.99 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s34, c_n2)) | (~m_main_v_state2(s34, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s34, c_n2)) | (~m_main_v_state2(s34, c_t2)))),
% 4.10/2.99 inference(rewrite,[status(thm)],[])).
% 4.10/2.99 tff(3118,plain,
% 4.10/2.99 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s34, c_n2)) | (~m_main_v_state2(s34, c_t2)))),
% 4.10/2.99 inference(quant_inst,[status(thm)],[])).
% 4.10/2.99 tff(3119,plain,
% 4.10/2.99 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s34, c_n2)) | (~m_main_v_state2(s34, c_t2))),
% 4.10/2.99 inference(modus_ponens,[status(thm)],[3118, 3117])).
% 4.10/2.99 tff(3120,plain,
% 4.10/2.99 (~m_main_v_state2(s34, c_n2)),
% 4.10/2.99 inference(unit_resolution,[status(thm)],[3119, 77, 3116])).
% 4.10/2.99 tff(3121,plain,
% 4.10/2.99 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s34, c_n2) | (~node8(s34)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s34, c_n2) | (~node8(s34)))),
% 4.10/2.99 inference(rewrite,[status(thm)],[])).
% 4.10/2.99 tff(3122,plain,
% 4.10/2.99 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s34, c_n2) | (~node8(s34)))),
% 4.10/2.99 inference(quant_inst,[status(thm)],[])).
% 4.10/2.99 tff(3123,plain,
% 4.10/2.99 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s34, c_n2) | (~node8(s34))),
% 4.10/2.99 inference(modus_ponens,[status(thm)],[3122, 3121])).
% 4.10/2.99 tff(3124,plain,
% 4.10/2.99 (~node8(s34)),
% 4.10/2.99 inference(unit_resolution,[status(thm)],[3123, 271, 3120])).
% 4.10/2.99 tff(3125,plain,
% 4.10/2.99 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s34, c_n2) | (~node9(s34)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s34, c_n2) | (~node9(s34)))),
% 4.10/2.99 inference(rewrite,[status(thm)],[])).
% 4.10/2.99 tff(3126,plain,
% 4.10/2.99 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s34, c_n2) | (~node9(s34)))),
% 4.10/2.99 inference(quant_inst,[status(thm)],[])).
% 4.10/2.99 tff(3127,plain,
% 4.10/2.99 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s34, c_n2) | (~node9(s34))),
% 4.10/2.99 inference(modus_ponens,[status(thm)],[3126, 3125])).
% 4.10/2.99 tff(3128,plain,
% 4.10/2.99 (~node9(s34)),
% 4.10/2.99 inference(unit_resolution,[status(thm)],[3127, 88, 3120])).
% 4.10/2.99 tff(3129,plain,
% 4.10/2.99 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s34, c_n2) | (~node10(s34)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s34, c_n2) | (~node10(s34)))),
% 4.10/2.99 inference(rewrite,[status(thm)],[])).
% 4.10/2.99 tff(3130,plain,
% 4.10/2.99 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s34, c_n2) | (~node10(s34)))),
% 4.10/2.99 inference(quant_inst,[status(thm)],[])).
% 4.10/2.99 tff(3131,plain,
% 4.10/2.99 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s34, c_n2) | (~node10(s34))),
% 4.10/2.99 inference(modus_ponens,[status(thm)],[3130, 3129])).
% 4.10/2.99 tff(3132,plain,
% 4.10/2.99 (~node10(s34)),
% 4.10/2.99 inference(unit_resolution,[status(thm)],[3131, 249, 3120])).
% 4.10/2.99 tff(3133,plain,
% 4.10/2.99 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s34, c_t2)) | (~m_main_v_state2(s34, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s34, c_t2)) | (~m_main_v_state2(s34, c_c2)))),
% 4.10/2.99 inference(rewrite,[status(thm)],[])).
% 4.10/2.99 tff(3134,plain,
% 4.10/2.99 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s34, c_t2)) | (~m_main_v_state2(s34, c_c2)))),
% 4.10/2.99 inference(quant_inst,[status(thm)],[])).
% 4.10/2.99 tff(3135,plain,
% 4.10/2.99 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s34, c_t2)) | (~m_main_v_state2(s34, c_c2))),
% 4.10/2.99 inference(modus_ponens,[status(thm)],[3134, 3133])).
% 4.10/2.99 tff(3136,plain,
% 4.10/2.99 (~m_main_v_state2(s34, c_c2)),
% 4.10/2.99 inference(unit_resolution,[status(thm)],[3135, 260, 3116])).
% 4.10/2.99 tff(3137,plain,
% 4.10/2.99 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s33, c_n2)) | (~m_main_v_state2(s33, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s33, c_n2)) | (~m_main_v_state2(s33, c_c2)))),
% 4.10/2.99 inference(rewrite,[status(thm)],[])).
% 4.10/2.99 tff(3138,plain,
% 4.10/2.99 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s33, c_n2)) | (~m_main_v_state2(s33, c_c2)))),
% 4.10/2.99 inference(quant_inst,[status(thm)],[])).
% 4.10/2.99 tff(3139,plain,
% 4.10/2.99 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s33, c_n2)) | (~m_main_v_state2(s33, c_c2))),
% 4.10/2.99 inference(modus_ponens,[status(thm)],[3138, 3137])).
% 4.10/2.99 tff(3140,plain,
% 4.10/2.99 (~m_main_v_state2(s33, c_c2)),
% 4.10/2.99 inference(unit_resolution,[status(thm)],[3139, 697, 3072])).
% 4.10/2.99 tff(3141,plain,
% 4.10/2.99 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s33, c_c2) | (~node3(s33)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s33, c_c2) | (~node3(s33)))),
% 4.10/2.99 inference(rewrite,[status(thm)],[])).
% 4.10/2.99 tff(3142,plain,
% 4.10/2.99 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s33, c_c2) | (~node3(s33)))),
% 4.10/2.99 inference(quant_inst,[status(thm)],[])).
% 4.10/2.99 tff(3143,plain,
% 4.10/2.99 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s33, c_c2) | (~node3(s33))),
% 4.10/2.99 inference(modus_ponens,[status(thm)],[3142, 3141])).
% 4.10/2.99 tff(3144,plain,
% 4.10/2.99 (~node3(s33)),
% 4.10/2.99 inference(unit_resolution,[status(thm)],[3143, 399, 3140])).
% 4.10/2.99 tff(3145,plain,
% 4.10/2.99 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s32, c_n1) | (~m_main_v_state1(s33, c_n1)) | (~node6(s32, s33)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s32, c_n1) | (~m_main_v_state1(s33, c_n1)) | (~node6(s32, s33)))),
% 4.10/2.99 inference(rewrite,[status(thm)],[])).
% 4.10/2.99 tff(3146,plain,
% 4.10/2.99 (((~node6(s32, s33)) | m_main_v_state1(s32, c_n1) | (~m_main_v_state1(s33, c_n1))) <=> (m_main_v_state1(s32, c_n1) | (~m_main_v_state1(s33, c_n1)) | (~node6(s32, s33)))),
% 4.10/2.99 inference(rewrite,[status(thm)],[])).
% 4.10/2.99 tff(3147,plain,
% 4.10/2.99 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s32, s33)) | m_main_v_state1(s32, c_n1) | (~m_main_v_state1(s33, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s32, c_n1) | (~m_main_v_state1(s33, c_n1)) | (~node6(s32, s33))))),
% 4.10/2.99 inference(monotonicity,[status(thm)],[3146])).
% 4.10/2.99 tff(3148,plain,
% 4.10/2.99 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s32, s33)) | m_main_v_state1(s32, c_n1) | (~m_main_v_state1(s33, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s32, c_n1) | (~m_main_v_state1(s33, c_n1)) | (~node6(s32, s33)))),
% 4.10/2.99 inference(transitivity,[status(thm)],[3147, 3145])).
% 4.10/2.99 tff(3149,plain,
% 4.10/2.99 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s32, s33)) | m_main_v_state1(s32, c_n1) | (~m_main_v_state1(s33, c_n1)))),
% 4.10/2.99 inference(quant_inst,[status(thm)],[])).
% 4.10/2.99 tff(3150,plain,
% 4.10/2.99 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s32, c_n1) | (~m_main_v_state1(s33, c_n1)) | (~node6(s32, s33))),
% 4.10/2.99 inference(modus_ponens,[status(thm)],[3149, 3148])).
% 4.10/2.99 tff(3151,plain,
% 4.10/2.99 (~m_main_v_state1(s33, c_n1)),
% 4.10/2.99 inference(unit_resolution,[status(thm)],[3150, 835, 2944, 3029])).
% 4.10/2.99 tff(3152,plain,
% 4.10/2.99 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s33, c_n1) | (~node2(s33)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s33, c_n1) | (~node2(s33)))),
% 4.10/2.99 inference(rewrite,[status(thm)],[])).
% 4.10/2.99 tff(3153,plain,
% 4.10/2.99 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s33, c_n1) | (~node2(s33)))),
% 4.10/2.99 inference(quant_inst,[status(thm)],[])).
% 4.10/2.99 tff(3154,plain,
% 4.10/2.99 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s33, c_n1) | (~node2(s33))),
% 4.10/2.99 inference(modus_ponens,[status(thm)],[3153, 3152])).
% 4.10/2.99 tff(3155,plain,
% 4.10/2.99 (~node2(s33)),
% 4.10/2.99 inference(unit_resolution,[status(thm)],[3154, 787, 3151])).
% 4.10/2.99 tff(3156,plain,
% 4.10/2.99 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s33, c_t2) | (~node1(s33)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s33, c_t2) | (~node1(s33)))),
% 4.10/2.99 inference(rewrite,[status(thm)],[])).
% 4.10/2.99 tff(3157,plain,
% 4.10/2.99 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s33, c_t2) | (~node1(s33)))),
% 4.10/2.99 inference(quant_inst,[status(thm)],[])).
% 4.10/2.99 tff(3158,plain,
% 4.10/2.99 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s33, c_t2) | (~node1(s33))),
% 4.10/2.99 inference(modus_ponens,[status(thm)],[3157, 3156])).
% 4.10/2.99 tff(3159,plain,
% 4.10/2.99 (~node1(s33)),
% 4.10/2.99 inference(unit_resolution,[status(thm)],[3158, 195, 3076])).
% 4.10/2.99 tff(3160,plain,
% 4.10/2.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s33, s34)) | node7(s33, s34))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s33, s34)) | node7(s33, s34))),
% 4.10/2.99 inference(rewrite,[status(thm)],[])).
% 4.10/2.99 tff(3161,plain,
% 4.10/2.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s33, s34)) | node7(s33, s34))),
% 4.10/2.99 inference(quant_inst,[status(thm)],[])).
% 4.10/2.99 tff(3162,plain,
% 4.10/2.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s33, s34)) | node7(s33, s34)),
% 4.10/2.99 inference(modus_ponens,[status(thm)],[3161, 3160])).
% 4.10/2.99 tff(3163,plain,
% 4.10/2.99 (node7(s33, s34)),
% 4.10/2.99 inference(unit_resolution,[status(thm)],[3162, 206, 3087])).
% 4.10/2.99 tff(3164,plain,
% 4.10/2.99 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | m_main_v_state1(s34, c_c1) | node1(s33) | node2(s33) | node3(s33) | (~node7(s33, s34)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | m_main_v_state1(s34, c_c1) | node1(s33) | node2(s33) | node3(s33) | (~node7(s33, s34)))),
% 4.10/2.99 inference(rewrite,[status(thm)],[])).
% 4.10/2.99 tff(3165,plain,
% 4.10/2.99 (((~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | node1(s33) | node2(s33) | node3(s33) | (~node7(s33, s34)) | m_main_v_state1(s34, c_c1)) <=> ((~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | m_main_v_state1(s34, c_c1) | node1(s33) | node2(s33) | node3(s33) | (~node7(s33, s34)))),
% 4.10/2.99 inference(rewrite,[status(thm)],[])).
% 4.10/2.99 tff(3166,plain,
% 4.10/2.99 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | node1(s33) | node2(s33) | node3(s33) | (~node7(s33, s34)) | m_main_v_state1(s34, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | m_main_v_state1(s34, c_c1) | node1(s33) | node2(s33) | node3(s33) | (~node7(s33, s34))))),
% 4.10/2.99 inference(monotonicity,[status(thm)],[3165])).
% 4.10/2.99 tff(3167,plain,
% 4.10/2.99 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | node1(s33) | node2(s33) | node3(s33) | (~node7(s33, s34)) | m_main_v_state1(s34, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | m_main_v_state1(s34, c_c1) | node1(s33) | node2(s33) | node3(s33) | (~node7(s33, s34)))),
% 4.10/2.99 inference(transitivity,[status(thm)],[3166, 3164])).
% 4.10/2.99 tff(3168,plain,
% 4.10/2.99 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | node1(s33) | node2(s33) | node3(s33) | (~node7(s33, s34)) | m_main_v_state1(s34, c_c1))),
% 4.10/2.99 inference(quant_inst,[status(thm)],[])).
% 4.10/2.99 tff(3169,plain,
% 4.10/2.99 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | m_main_v_state1(s34, c_c1) | node1(s33) | node2(s33) | node3(s33) | (~node7(s33, s34))),
% 4.10/2.99 inference(modus_ponens,[status(thm)],[3168, 3167])).
% 4.10/2.99 tff(3170,plain,
% 4.10/2.99 ((~m_main_v_state1(s33, c_t1)) | (~m_main_v_state2(s33, c_n2)) | m_main_v_state1(s34, c_c1) | node1(s33) | node2(s33) | node3(s33)),
% 4.10/2.99 inference(unit_resolution,[status(thm)],[3169, 892, 3163])).
% 4.10/2.99 tff(3171,plain,
% 4.10/2.99 (m_main_v_state1(s34, c_c1)),
% 4.10/2.99 inference(unit_resolution,[status(thm)],[3170, 3159, 3072, 3036, 3155, 3144])).
% 4.10/2.99 tff(3172,plain,
% 4.10/2.99 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s34, c_n1)) | (~m_main_v_state1(s34, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s34, c_n1)) | (~m_main_v_state1(s34, c_c1)))),
% 4.10/2.99 inference(rewrite,[status(thm)],[])).
% 4.10/2.99 tff(3173,plain,
% 4.10/2.99 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s34, c_n1)) | (~m_main_v_state1(s34, c_c1)))),
% 4.10/2.99 inference(quant_inst,[status(thm)],[])).
% 4.10/2.99 tff(3174,plain,
% 4.10/2.99 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s34, c_n1)) | (~m_main_v_state1(s34, c_c1))),
% 4.10/2.99 inference(modus_ponens,[status(thm)],[3173, 3172])).
% 4.10/2.99 tff(3175,plain,
% 4.10/2.99 (~m_main_v_state1(s34, c_n1)),
% 4.10/2.99 inference(unit_resolution,[status(thm)],[3174, 454, 3171])).
% 4.10/2.99 tff(3176,plain,
% 4.10/2.99 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s34, c_n1) | (~node11(s34)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s34, c_n1) | (~node11(s34)))),
% 4.10/2.99 inference(rewrite,[status(thm)],[])).
% 4.10/2.99 tff(3177,plain,
% 4.10/2.99 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s34, c_n1) | (~node11(s34)))),
% 4.10/2.99 inference(quant_inst,[status(thm)],[])).
% 4.10/2.99 tff(3178,plain,
% 4.10/2.99 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s34, c_n1) | (~node11(s34))),
% 4.10/2.99 inference(modus_ponens,[status(thm)],[3177, 3176])).
% 4.10/2.99 tff(3179,plain,
% 4.10/2.99 (~node11(s34)),
% 4.10/2.99 inference(unit_resolution,[status(thm)],[3178, 238, 3175])).
% 4.10/2.99 tff(3180,plain,
% 4.10/2.99 (succ(s34, s35) <=> succ(s34, s35)),
% 4.10/2.99 inference(rewrite,[status(thm)],[])).
% 4.10/2.99 tff(3181,axiom,(succ(s34, s35)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound35')).
% 4.10/2.99 tff(3182,plain,
% 4.10/2.99 (succ(s34, s35)),
% 4.10/2.99 inference(modus_ponens,[status(thm)],[3181, 3180])).
% 4.10/2.99 tff(3183,plain,
% 4.10/2.99 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s34, s35)) | trans(s34, s35))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s34, s35)) | trans(s34, s35))),
% 4.10/2.99 inference(rewrite,[status(thm)],[])).
% 4.10/2.99 tff(3184,plain,
% 4.10/2.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s34, s35)) | trans(s34, s35))),
% 4.10/2.99 inference(quant_inst,[status(thm)],[])).
% 4.10/2.99 tff(3185,plain,
% 4.10/2.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s34, s35)) | trans(s34, s35)),
% 4.10/2.99 inference(modus_ponens,[status(thm)],[3184, 3183])).
% 4.10/2.99 tff(3186,plain,
% 4.10/2.99 (trans(s34, s35)),
% 4.10/2.99 inference(unit_resolution,[status(thm)],[3185, 3182, 32])).
% 4.10/2.99 tff(3187,plain,
% 4.10/2.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s34, s35)) | node14(s34, s35))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s34, s35)) | node14(s34, s35))),
% 4.10/2.99 inference(rewrite,[status(thm)],[])).
% 4.10/2.99 tff(3188,plain,
% 4.10/2.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s34, s35)) | node14(s34, s35))),
% 4.10/2.99 inference(quant_inst,[status(thm)],[])).
% 4.10/2.99 tff(3189,plain,
% 4.10/2.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s34, s35)) | node14(s34, s35)),
% 4.10/2.99 inference(modus_ponens,[status(thm)],[3188, 3187])).
% 4.10/2.99 tff(3190,plain,
% 4.10/2.99 (node14(s34, s35)),
% 4.10/2.99 inference(unit_resolution,[status(thm)],[3189, 46, 3186])).
% 4.10/2.99 tff(3191,plain,
% 4.10/2.99 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s34, c_c2) | node9(s34) | node8(s34) | node10(s34) | node11(s34) | node12(s34) | node13(s34, s35) | (~node14(s34, s35)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s34, c_c2) | node9(s34) | node8(s34) | node10(s34) | node11(s34) | node12(s34) | node13(s34, s35) | (~node14(s34, s35)))),
% 4.10/2.99 inference(rewrite,[status(thm)],[])).
% 4.10/2.99 tff(3192,plain,
% 4.10/2.99 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s34, c_c2) | node9(s34) | node8(s34) | node10(s34) | node11(s34) | node12(s34) | node13(s34, s35) | (~node14(s34, s35)))),
% 4.10/2.99 inference(quant_inst,[status(thm)],[])).
% 4.10/2.99 tff(3193,plain,
% 4.10/2.99 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s34, c_c2) | node9(s34) | node8(s34) | node10(s34) | node11(s34) | node12(s34) | node13(s34, s35) | (~node14(s34, s35))),
% 4.10/2.99 inference(modus_ponens,[status(thm)],[3192, 3191])).
% 4.10/2.99 tff(3194,plain,
% 4.10/2.99 (m_main_v_state2(s34, c_c2) | node9(s34) | node8(s34) | node10(s34) | node11(s34) | node12(s34) | node13(s34, s35)),
% 4.10/2.99 inference(unit_resolution,[status(thm)],[3193, 296, 3190])).
% 4.10/2.99 tff(3195,plain,
% 4.10/2.99 (node13(s34, s35)),
% 4.10/2.99 inference(unit_resolution,[status(thm)],[3194, 3179, 3136, 3132, 3128, 3124, 3107])).
% 4.10/2.99 tff(3196,plain,
% 4.10/2.99 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s34, c_n2) | (~m_main_v_state2(s35, c_n2)) | (~node13(s34, s35)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s34, c_n2) | (~m_main_v_state2(s35, c_n2)) | (~node13(s34, s35)))),
% 4.10/2.99 inference(rewrite,[status(thm)],[])).
% 4.10/2.99 tff(3197,plain,
% 4.10/2.99 (((~node13(s34, s35)) | m_main_v_state2(s34, c_n2) | (~m_main_v_state2(s35, c_n2))) <=> (m_main_v_state2(s34, c_n2) | (~m_main_v_state2(s35, c_n2)) | (~node13(s34, s35)))),
% 4.10/2.99 inference(rewrite,[status(thm)],[])).
% 4.10/2.99 tff(3198,plain,
% 4.10/2.99 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s34, s35)) | m_main_v_state2(s34, c_n2) | (~m_main_v_state2(s35, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s34, c_n2) | (~m_main_v_state2(s35, c_n2)) | (~node13(s34, s35))))),
% 4.10/2.99 inference(monotonicity,[status(thm)],[3197])).
% 4.10/2.99 tff(3199,plain,
% 4.10/2.99 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s34, s35)) | m_main_v_state2(s34, c_n2) | (~m_main_v_state2(s35, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s34, c_n2) | (~m_main_v_state2(s35, c_n2)) | (~node13(s34, s35)))),
% 4.10/2.99 inference(transitivity,[status(thm)],[3198, 3196])).
% 4.10/2.99 tff(3200,plain,
% 4.10/2.99 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s34, s35)) | m_main_v_state2(s34, c_n2) | (~m_main_v_state2(s35, c_n2)))),
% 4.10/2.99 inference(quant_inst,[status(thm)],[])).
% 4.10/2.99 tff(3201,plain,
% 4.10/2.99 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s34, c_n2) | (~m_main_v_state2(s35, c_n2)) | (~node13(s34, s35))),
% 4.10/2.99 inference(modus_ponens,[status(thm)],[3200, 3199])).
% 4.10/2.99 tff(3202,plain,
% 4.10/3.00 (~m_main_v_state2(s35, c_n2)),
% 4.10/3.00 inference(unit_resolution,[status(thm)],[3201, 311, 3120, 3195])).
% 4.10/3.00 tff(3203,plain,
% 4.10/3.00 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s35, c_n2) | (~node9(s35)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s35, c_n2) | (~node9(s35)))),
% 4.10/3.00 inference(rewrite,[status(thm)],[])).
% 4.10/3.00 tff(3204,plain,
% 4.10/3.00 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s35, c_n2) | (~node9(s35)))),
% 4.10/3.00 inference(quant_inst,[status(thm)],[])).
% 4.10/3.00 tff(3205,plain,
% 4.10/3.00 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s35, c_n2) | (~node9(s35))),
% 4.10/3.00 inference(modus_ponens,[status(thm)],[3204, 3203])).
% 4.10/3.00 tff(3206,plain,
% 4.10/3.00 (~node9(s35)),
% 4.10/3.00 inference(unit_resolution,[status(thm)],[3205, 88, 3202])).
% 4.10/3.00 tff(3207,plain,
% 4.10/3.00 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s35, c_n2) | (~node10(s35)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s35, c_n2) | (~node10(s35)))),
% 4.10/3.00 inference(rewrite,[status(thm)],[])).
% 4.10/3.00 tff(3208,plain,
% 4.10/3.00 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s35, c_n2) | (~node10(s35)))),
% 4.10/3.00 inference(quant_inst,[status(thm)],[])).
% 4.10/3.00 tff(3209,plain,
% 4.10/3.00 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s35, c_n2) | (~node10(s35))),
% 4.10/3.00 inference(modus_ponens,[status(thm)],[3208, 3207])).
% 4.10/3.00 tff(3210,plain,
% 4.10/3.00 (~node10(s35)),
% 4.10/3.00 inference(unit_resolution,[status(thm)],[3209, 249, 3202])).
% 4.10/3.00 tff(3211,plain,
% 4.10/3.00 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s34, c_t2)) | m_main_v_state2(s35, c_t2) | (~node13(s34, s35)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s34, c_t2)) | m_main_v_state2(s35, c_t2) | (~node13(s34, s35)))),
% 4.10/3.00 inference(rewrite,[status(thm)],[])).
% 4.10/3.00 tff(3212,plain,
% 4.10/3.00 (((~node13(s34, s35)) | (~m_main_v_state2(s34, c_t2)) | m_main_v_state2(s35, c_t2)) <=> ((~m_main_v_state2(s34, c_t2)) | m_main_v_state2(s35, c_t2) | (~node13(s34, s35)))),
% 4.10/3.00 inference(rewrite,[status(thm)],[])).
% 4.10/3.00 tff(3213,plain,
% 4.10/3.00 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s34, s35)) | (~m_main_v_state2(s34, c_t2)) | m_main_v_state2(s35, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s34, c_t2)) | m_main_v_state2(s35, c_t2) | (~node13(s34, s35))))),
% 4.10/3.00 inference(monotonicity,[status(thm)],[3212])).
% 4.10/3.00 tff(3214,plain,
% 4.10/3.00 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s34, s35)) | (~m_main_v_state2(s34, c_t2)) | m_main_v_state2(s35, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s34, c_t2)) | m_main_v_state2(s35, c_t2) | (~node13(s34, s35)))),
% 4.10/3.00 inference(transitivity,[status(thm)],[3213, 3211])).
% 4.10/3.00 tff(3215,plain,
% 4.10/3.00 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s34, s35)) | (~m_main_v_state2(s34, c_t2)) | m_main_v_state2(s35, c_t2))),
% 4.10/3.00 inference(quant_inst,[status(thm)],[])).
% 4.10/3.00 tff(3216,plain,
% 4.10/3.00 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s34, c_t2)) | m_main_v_state2(s35, c_t2) | (~node13(s34, s35))),
% 4.10/3.00 inference(modus_ponens,[status(thm)],[3215, 3214])).
% 4.10/3.00 tff(3217,plain,
% 4.10/3.00 (m_main_v_state2(s35, c_t2)),
% 4.10/3.00 inference(unit_resolution,[status(thm)],[3216, 518, 3116, 3195])).
% 4.10/3.00 tff(3218,plain,
% 4.10/3.00 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s34, c_t1)) | (~m_main_v_state1(s34, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s34, c_t1)) | (~m_main_v_state1(s34, c_c1)))),
% 4.10/3.00 inference(rewrite,[status(thm)],[])).
% 4.10/3.00 tff(3219,plain,
% 4.10/3.00 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s34, c_t1)) | (~m_main_v_state1(s34, c_c1)))),
% 4.10/3.00 inference(quant_inst,[status(thm)],[])).
% 4.10/3.00 tff(3220,plain,
% 4.10/3.00 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s34, c_t1)) | (~m_main_v_state1(s34, c_c1))),
% 4.10/3.00 inference(modus_ponens,[status(thm)],[3219, 3218])).
% 4.10/3.00 tff(3221,plain,
% 4.10/3.00 (~m_main_v_state1(s34, c_t1)),
% 4.10/3.00 inference(unit_resolution,[status(thm)],[3220, 539, 3171])).
% 4.10/3.00 tff(3222,plain,
% 4.10/3.00 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s34, c_t1) | (~node5(s34)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s34, c_t1) | (~node5(s34)))),
% 4.10/3.00 inference(rewrite,[status(thm)],[])).
% 4.10/3.00 tff(3223,plain,
% 4.10/3.00 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s34, c_t1) | (~node5(s34)))),
% 4.10/3.00 inference(quant_inst,[status(thm)],[])).
% 4.10/3.00 tff(3224,plain,
% 4.10/3.00 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s34, c_t1) | (~node5(s34))),
% 4.10/3.00 inference(modus_ponens,[status(thm)],[3223, 3222])).
% 4.10/3.00 tff(3225,plain,
% 4.10/3.00 (~node5(s34)),
% 4.10/3.00 inference(unit_resolution,[status(thm)],[3224, 550, 3221])).
% 4.10/3.00 tff(3226,plain,
% 4.10/3.00 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s34, c_n2) | (~node4(s34)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s34, c_n2) | (~node4(s34)))),
% 4.10/3.00 inference(rewrite,[status(thm)],[])).
% 4.10/3.00 tff(3227,plain,
% 4.10/3.00 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s34, c_n2) | (~node4(s34)))),
% 4.10/3.00 inference(quant_inst,[status(thm)],[])).
% 4.10/3.00 tff(3228,plain,
% 4.10/3.00 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s34, c_n2) | (~node4(s34))),
% 4.10/3.00 inference(modus_ponens,[status(thm)],[3227, 3226])).
% 4.10/3.00 tff(3229,plain,
% 4.10/3.00 (~node4(s34)),
% 4.10/3.00 inference(unit_resolution,[status(thm)],[3228, 388, 3120])).
% 4.10/3.00 tff(3230,plain,
% 4.10/3.00 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s34, c_c2) | (~node3(s34)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s34, c_c2) | (~node3(s34)))),
% 4.10/3.00 inference(rewrite,[status(thm)],[])).
% 4.10/3.00 tff(3231,plain,
% 4.10/3.00 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s34, c_c2) | (~node3(s34)))),
% 4.10/3.00 inference(quant_inst,[status(thm)],[])).
% 4.10/3.00 tff(3232,plain,
% 4.10/3.00 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s34, c_c2) | (~node3(s34))),
% 4.10/3.00 inference(modus_ponens,[status(thm)],[3231, 3230])).
% 4.10/3.00 tff(3233,plain,
% 4.10/3.00 (~node3(s34)),
% 4.10/3.00 inference(unit_resolution,[status(thm)],[3232, 399, 3136])).
% 4.10/3.00 tff(3234,plain,
% 4.10/3.00 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s34, c_n2) | (~node2(s34)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s34, c_n2) | (~node2(s34)))),
% 4.10/3.00 inference(rewrite,[status(thm)],[])).
% 4.10/3.00 tff(3235,plain,
% 4.10/3.00 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s34, c_n2) | (~node2(s34)))),
% 4.10/3.00 inference(quant_inst,[status(thm)],[])).
% 4.10/3.00 tff(3236,plain,
% 4.10/3.00 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s34, c_n2) | (~node2(s34))),
% 4.10/3.00 inference(modus_ponens,[status(thm)],[3235, 3234])).
% 4.10/3.00 tff(3237,plain,
% 4.10/3.00 (~node2(s34)),
% 4.10/3.00 inference(unit_resolution,[status(thm)],[3236, 410, 3120])).
% 4.10/3.00 tff(3238,plain,
% 4.10/3.00 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s34, c_n1) | (~node1(s34)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s34, c_n1) | (~node1(s34)))),
% 4.10/3.00 inference(rewrite,[status(thm)],[])).
% 4.10/3.00 tff(3239,plain,
% 4.10/3.00 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s34, c_n1) | (~node1(s34)))),
% 4.10/3.00 inference(quant_inst,[status(thm)],[])).
% 4.10/3.00 tff(3240,plain,
% 4.10/3.00 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s34, c_n1) | (~node1(s34))),
% 4.10/3.00 inference(modus_ponens,[status(thm)],[3239, 3238])).
% 4.10/3.00 tff(3241,plain,
% 4.16/3.00 (~node1(s34)),
% 4.16/3.00 inference(unit_resolution,[status(thm)],[3240, 421, 3175])).
% 4.16/3.00 tff(3242,plain,
% 4.16/3.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s34, s35)) | node7(s34, s35))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s34, s35)) | node7(s34, s35))),
% 4.16/3.00 inference(rewrite,[status(thm)],[])).
% 4.16/3.00 tff(3243,plain,
% 4.16/3.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s34, s35)) | node7(s34, s35))),
% 4.16/3.00 inference(quant_inst,[status(thm)],[])).
% 4.16/3.00 tff(3244,plain,
% 4.16/3.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s34, s35)) | node7(s34, s35)),
% 4.16/3.00 inference(modus_ponens,[status(thm)],[3243, 3242])).
% 4.16/3.00 tff(3245,plain,
% 4.16/3.00 (node7(s34, s35)),
% 4.16/3.00 inference(unit_resolution,[status(thm)],[3244, 206, 3186])).
% 4.16/3.00 tff(3246,plain,
% 4.16/3.00 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s35, c_n1) | (~m_main_v_state1(s34, c_c1)) | node1(s34) | node2(s34) | node3(s34) | node4(s34) | node5(s34) | (~node7(s34, s35)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s35, c_n1) | (~m_main_v_state1(s34, c_c1)) | node1(s34) | node2(s34) | node3(s34) | node4(s34) | node5(s34) | (~node7(s34, s35)))),
% 4.16/3.00 inference(rewrite,[status(thm)],[])).
% 4.16/3.00 tff(3247,plain,
% 4.16/3.00 (((~m_main_v_state1(s34, c_c1)) | node1(s34) | node2(s34) | node3(s34) | node4(s34) | node5(s34) | (~node7(s34, s35)) | m_main_v_state1(s35, c_n1)) <=> (m_main_v_state1(s35, c_n1) | (~m_main_v_state1(s34, c_c1)) | node1(s34) | node2(s34) | node3(s34) | node4(s34) | node5(s34) | (~node7(s34, s35)))),
% 4.16/3.00 inference(rewrite,[status(thm)],[])).
% 4.16/3.00 tff(3248,plain,
% 4.16/3.00 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s34, c_c1)) | node1(s34) | node2(s34) | node3(s34) | node4(s34) | node5(s34) | (~node7(s34, s35)) | m_main_v_state1(s35, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s35, c_n1) | (~m_main_v_state1(s34, c_c1)) | node1(s34) | node2(s34) | node3(s34) | node4(s34) | node5(s34) | (~node7(s34, s35))))),
% 4.16/3.00 inference(monotonicity,[status(thm)],[3247])).
% 4.16/3.00 tff(3249,plain,
% 4.16/3.00 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s34, c_c1)) | node1(s34) | node2(s34) | node3(s34) | node4(s34) | node5(s34) | (~node7(s34, s35)) | m_main_v_state1(s35, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s35, c_n1) | (~m_main_v_state1(s34, c_c1)) | node1(s34) | node2(s34) | node3(s34) | node4(s34) | node5(s34) | (~node7(s34, s35)))),
% 4.16/3.00 inference(transitivity,[status(thm)],[3248, 3246])).
% 4.16/3.00 tff(3250,plain,
% 4.16/3.00 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s34, c_c1)) | node1(s34) | node2(s34) | node3(s34) | node4(s34) | node5(s34) | (~node7(s34, s35)) | m_main_v_state1(s35, c_n1))),
% 4.16/3.00 inference(quant_inst,[status(thm)],[])).
% 4.16/3.00 tff(3251,plain,
% 4.16/3.00 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s35, c_n1) | (~m_main_v_state1(s34, c_c1)) | node1(s34) | node2(s34) | node3(s34) | node4(s34) | node5(s34) | (~node7(s34, s35))),
% 4.16/3.00 inference(modus_ponens,[status(thm)],[3250, 3249])).
% 4.16/3.00 tff(3252,plain,
% 4.16/3.00 (m_main_v_state1(s35, c_n1) | (~m_main_v_state1(s34, c_c1)) | node1(s34) | node2(s34) | node3(s34) | node4(s34) | node5(s34)),
% 4.16/3.00 inference(unit_resolution,[status(thm)],[3251, 584, 3245])).
% 4.16/3.00 tff(3253,plain,
% 4.16/3.00 (m_main_v_state1(s35, c_n1)),
% 4.16/3.00 inference(unit_resolution,[status(thm)],[3252, 3241, 3171, 3237, 3233, 3229, 3225])).
% 4.16/3.00 tff(3254,plain,
% 4.16/3.00 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s35, c_n2) | (~node8(s35)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s35, c_n2) | (~node8(s35)))),
% 4.16/3.00 inference(rewrite,[status(thm)],[])).
% 4.16/3.00 tff(3255,plain,
% 4.16/3.00 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s35, c_n2) | (~node8(s35)))),
% 4.16/3.00 inference(quant_inst,[status(thm)],[])).
% 4.16/3.00 tff(3256,plain,
% 4.16/3.00 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s35, c_n2) | (~node8(s35))),
% 4.16/3.00 inference(modus_ponens,[status(thm)],[3255, 3254])).
% 4.16/3.00 tff(3257,plain,
% 4.16/3.00 (~node8(s35)),
% 4.16/3.00 inference(unit_resolution,[status(thm)],[3256, 271, 3202])).
% 4.16/3.00 tff(3258,plain,
% 4.16/3.00 (succ(s35, s36) <=> succ(s35, s36)),
% 4.16/3.00 inference(rewrite,[status(thm)],[])).
% 4.16/3.00 tff(3259,axiom,(succ(s35, s36)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound36')).
% 4.16/3.00 tff(3260,plain,
% 4.16/3.00 (succ(s35, s36)),
% 4.16/3.00 inference(modus_ponens,[status(thm)],[3259, 3258])).
% 4.16/3.00 tff(3261,plain,
% 4.16/3.00 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s35, s36)) | trans(s35, s36))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s35, s36)) | trans(s35, s36))),
% 4.16/3.00 inference(rewrite,[status(thm)],[])).
% 4.16/3.00 tff(3262,plain,
% 4.16/3.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s35, s36)) | trans(s35, s36))),
% 4.16/3.00 inference(quant_inst,[status(thm)],[])).
% 4.16/3.00 tff(3263,plain,
% 4.16/3.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s35, s36)) | trans(s35, s36)),
% 4.16/3.00 inference(modus_ponens,[status(thm)],[3262, 3261])).
% 4.16/3.00 tff(3264,plain,
% 4.16/3.00 (trans(s35, s36)),
% 4.16/3.00 inference(unit_resolution,[status(thm)],[3263, 3260, 32])).
% 4.16/3.00 tff(3265,plain,
% 4.16/3.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s35, s36)) | node14(s35, s36))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s35, s36)) | node14(s35, s36))),
% 4.16/3.00 inference(rewrite,[status(thm)],[])).
% 4.16/3.00 tff(3266,plain,
% 4.16/3.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s35, s36)) | node14(s35, s36))),
% 4.16/3.00 inference(quant_inst,[status(thm)],[])).
% 4.16/3.00 tff(3267,plain,
% 4.16/3.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s35, s36)) | node14(s35, s36)),
% 4.16/3.00 inference(modus_ponens,[status(thm)],[3266, 3265])).
% 4.16/3.00 tff(3268,plain,
% 4.16/3.00 (node14(s35, s36)),
% 4.16/3.00 inference(unit_resolution,[status(thm)],[3267, 46, 3264])).
% 4.16/3.00 tff(3269,plain,
% 4.16/3.00 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s35, c_n1)) | (~m_main_v_state2(s35, c_t2)) | node9(s35) | node8(s35) | node10(s35) | (~node14(s35, s36)) | m_main_v_state2(s36, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s35, c_n1)) | (~m_main_v_state2(s35, c_t2)) | node9(s35) | node8(s35) | node10(s35) | (~node14(s35, s36)) | m_main_v_state2(s36, c_c2))),
% 4.16/3.00 inference(rewrite,[status(thm)],[])).
% 4.16/3.00 tff(3270,plain,
% 4.16/3.00 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s35, c_n1)) | (~m_main_v_state2(s35, c_t2)) | node9(s35) | node8(s35) | node10(s35) | (~node14(s35, s36)) | m_main_v_state2(s36, c_c2))),
% 4.16/3.00 inference(quant_inst,[status(thm)],[])).
% 4.16/3.00 tff(3271,plain,
% 4.16/3.00 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s35, c_n1)) | (~m_main_v_state2(s35, c_t2)) | node9(s35) | node8(s35) | node10(s35) | (~node14(s35, s36)) | m_main_v_state2(s36, c_c2)),
% 4.16/3.00 inference(modus_ponens,[status(thm)],[3270, 3269])).
% 4.16/3.00 tff(3272,plain,
% 4.16/3.00 ((~m_main_v_state1(s35, c_n1)) | (~m_main_v_state2(s35, c_t2)) | node9(s35) | node8(s35) | node10(s35) | m_main_v_state2(s36, c_c2)),
% 4.16/3.00 inference(unit_resolution,[status(thm)],[3271, 617, 3268])).
% 4.16/3.00 tff(3273,plain,
% 4.16/3.00 (m_main_v_state2(s36, c_c2)),
% 4.16/3.00 inference(unit_resolution,[status(thm)],[3272, 3257, 3253, 3217, 3210, 3206])).
% 4.16/3.00 tff(3274,plain,
% 4.16/3.00 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s36, c_t2)) | (~m_main_v_state2(s36, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s36, c_t2)) | (~m_main_v_state2(s36, c_c2)))),
% 4.16/3.00 inference(rewrite,[status(thm)],[])).
% 4.16/3.00 tff(3275,plain,
% 4.16/3.00 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s36, c_t2)) | (~m_main_v_state2(s36, c_c2)))),
% 4.16/3.00 inference(quant_inst,[status(thm)],[])).
% 4.16/3.00 tff(3276,plain,
% 4.16/3.00 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s36, c_t2)) | (~m_main_v_state2(s36, c_c2))),
% 4.16/3.00 inference(modus_ponens,[status(thm)],[3275, 3274])).
% 4.16/3.00 tff(3277,plain,
% 4.16/3.00 (~m_main_v_state2(s36, c_t2)),
% 4.16/3.00 inference(unit_resolution,[status(thm)],[3276, 260, 3273])).
% 4.16/3.00 tff(3278,plain,
% 4.16/3.00 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s36, c_t2) | (~node12(s36)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s36, c_t2) | (~node12(s36)))),
% 4.16/3.00 inference(rewrite,[status(thm)],[])).
% 4.16/3.00 tff(3279,plain,
% 4.16/3.00 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s36, c_t2) | (~node12(s36)))),
% 4.16/3.00 inference(quant_inst,[status(thm)],[])).
% 4.16/3.00 tff(3280,plain,
% 4.16/3.00 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s36, c_t2) | (~node12(s36))),
% 4.16/3.00 inference(modus_ponens,[status(thm)],[3279, 3278])).
% 4.16/3.00 tff(3281,plain,
% 4.16/3.00 (~node12(s36)),
% 4.16/3.00 inference(unit_resolution,[status(thm)],[3280, 633, 3277])).
% 4.16/3.00 tff(3282,plain,
% 4.16/3.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s35, s36)) | node7(s35, s36))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s35, s36)) | node7(s35, s36))),
% 4.16/3.00 inference(rewrite,[status(thm)],[])).
% 4.16/3.00 tff(3283,plain,
% 4.16/3.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s35, s36)) | node7(s35, s36))),
% 4.16/3.00 inference(quant_inst,[status(thm)],[])).
% 4.16/3.00 tff(3284,plain,
% 4.16/3.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s35, s36)) | node7(s35, s36)),
% 4.16/3.00 inference(modus_ponens,[status(thm)],[3283, 3282])).
% 4.16/3.00 tff(3285,plain,
% 4.16/3.00 (node7(s35, s36)),
% 4.16/3.00 inference(unit_resolution,[status(thm)],[3284, 206, 3264])).
% 4.16/3.00 tff(3286,plain,
% 4.16/3.00 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s35, c_n1)) | (~m_main_v_state2(s35, c_t2)) | (~node7(s35, s36)) | m_main_v_state1(s36, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s35, c_n1)) | (~m_main_v_state2(s35, c_t2)) | (~node7(s35, s36)) | m_main_v_state1(s36, c_t1))),
% 4.16/3.00 inference(rewrite,[status(thm)],[])).
% 4.16/3.00 tff(3287,plain,
% 4.16/3.00 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s35, c_n1)) | (~m_main_v_state2(s35, c_t2)) | (~node7(s35, s36)) | m_main_v_state1(s36, c_t1))),
% 4.16/3.00 inference(quant_inst,[status(thm)],[])).
% 4.16/3.00 tff(3288,plain,
% 4.16/3.00 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s35, c_n1)) | (~m_main_v_state2(s35, c_t2)) | (~node7(s35, s36)) | m_main_v_state1(s36, c_t1)),
% 4.16/3.00 inference(modus_ponens,[status(thm)],[3287, 3286])).
% 4.16/3.00 tff(3289,plain,
% 4.16/3.00 ((~m_main_v_state1(s35, c_n1)) | (~m_main_v_state2(s35, c_t2)) | m_main_v_state1(s36, c_t1)),
% 4.16/3.00 inference(unit_resolution,[status(thm)],[3288, 651, 3285])).
% 4.16/3.00 tff(3290,plain,
% 4.16/3.00 (m_main_v_state1(s36, c_t1)),
% 4.16/3.00 inference(unit_resolution,[status(thm)],[3289, 3217, 3253])).
% 4.16/3.00 tff(3291,plain,
% 4.16/3.00 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s36, c_n1)) | (~m_main_v_state1(s36, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s36, c_n1)) | (~m_main_v_state1(s36, c_t1)))),
% 4.16/3.00 inference(rewrite,[status(thm)],[])).
% 4.16/3.00 tff(3292,plain,
% 4.16/3.00 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s36, c_n1)) | (~m_main_v_state1(s36, c_t1)))),
% 4.16/3.00 inference(quant_inst,[status(thm)],[])).
% 4.16/3.00 tff(3293,plain,
% 4.16/3.00 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s36, c_n1)) | (~m_main_v_state1(s36, c_t1))),
% 4.16/3.00 inference(modus_ponens,[status(thm)],[3292, 3291])).
% 4.16/3.00 tff(3294,plain,
% 4.16/3.00 (~m_main_v_state1(s36, c_n1)),
% 4.16/3.00 inference(unit_resolution,[status(thm)],[3293, 10, 3290])).
% 4.16/3.00 tff(3295,plain,
% 4.16/3.00 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s36, c_n1) | (~node11(s36)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s36, c_n1) | (~node11(s36)))),
% 4.16/3.00 inference(rewrite,[status(thm)],[])).
% 4.16/3.00 tff(3296,plain,
% 4.16/3.00 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s36, c_n1) | (~node11(s36)))),
% 4.16/3.00 inference(quant_inst,[status(thm)],[])).
% 4.16/3.00 tff(3297,plain,
% 4.16/3.00 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s36, c_n1) | (~node11(s36))),
% 4.16/3.00 inference(modus_ponens,[status(thm)],[3296, 3295])).
% 4.16/3.00 tff(3298,plain,
% 4.16/3.00 (~node11(s36)),
% 4.16/3.00 inference(unit_resolution,[status(thm)],[3297, 238, 3294])).
% 4.16/3.00 tff(3299,plain,
% 4.16/3.00 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s36, c_t1)) | (~m_main_v_state1(s36, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s36, c_t1)) | (~m_main_v_state1(s36, c_c1)))),
% 4.16/3.00 inference(rewrite,[status(thm)],[])).
% 4.16/3.00 tff(3300,plain,
% 4.16/3.00 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s36, c_t1)) | (~m_main_v_state1(s36, c_c1)))),
% 4.16/3.00 inference(quant_inst,[status(thm)],[])).
% 4.16/3.00 tff(3301,plain,
% 4.16/3.00 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s36, c_t1)) | (~m_main_v_state1(s36, c_c1))),
% 4.16/3.00 inference(modus_ponens,[status(thm)],[3300, 3299])).
% 4.16/3.00 tff(3302,plain,
% 4.16/3.00 (~m_main_v_state1(s36, c_c1)),
% 4.16/3.00 inference(unit_resolution,[status(thm)],[3301, 539, 3290])).
% 4.16/3.00 tff(3303,plain,
% 4.16/3.00 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s36, c_c1) | (~node10(s36)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s36, c_c1) | (~node10(s36)))),
% 4.16/3.00 inference(rewrite,[status(thm)],[])).
% 4.16/3.00 tff(3304,plain,
% 4.16/3.00 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s36, c_c1) | (~node10(s36)))),
% 4.16/3.00 inference(quant_inst,[status(thm)],[])).
% 4.16/3.00 tff(3305,plain,
% 4.16/3.00 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s36, c_c1) | (~node10(s36))),
% 4.16/3.00 inference(modus_ponens,[status(thm)],[3304, 3303])).
% 4.16/3.00 tff(3306,plain,
% 4.16/3.00 (~node10(s36)),
% 4.16/3.00 inference(unit_resolution,[status(thm)],[3305, 675, 3302])).
% 4.16/3.00 tff(3307,plain,
% 4.16/3.00 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s36, c_n1) | (~node9(s36)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s36, c_n1) | (~node9(s36)))),
% 4.16/3.00 inference(rewrite,[status(thm)],[])).
% 4.16/3.00 tff(3308,plain,
% 4.16/3.00 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s36, c_n1) | (~node9(s36)))),
% 4.16/3.00 inference(quant_inst,[status(thm)],[])).
% 4.16/3.00 tff(3309,plain,
% 4.16/3.00 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s36, c_n1) | (~node9(s36))),
% 4.16/3.00 inference(modus_ponens,[status(thm)],[3308, 3307])).
% 4.16/3.00 tff(3310,plain,
% 4.16/3.00 (~node9(s36)),
% 4.16/3.00 inference(unit_resolution,[status(thm)],[3309, 686, 3294])).
% 4.16/3.00 tff(3311,plain,
% 4.16/3.00 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s36, c_n2)) | (~m_main_v_state2(s36, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s36, c_n2)) | (~m_main_v_state2(s36, c_c2)))),
% 4.16/3.00 inference(rewrite,[status(thm)],[])).
% 4.16/3.00 tff(3312,plain,
% 4.16/3.00 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s36, c_n2)) | (~m_main_v_state2(s36, c_c2)))),
% 4.16/3.00 inference(quant_inst,[status(thm)],[])).
% 4.16/3.00 tff(3313,plain,
% 4.16/3.00 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s36, c_n2)) | (~m_main_v_state2(s36, c_c2))),
% 4.16/3.00 inference(modus_ponens,[status(thm)],[3312, 3311])).
% 4.16/3.00 tff(3314,plain,
% 4.16/3.00 (~m_main_v_state2(s36, c_n2)),
% 4.16/3.00 inference(unit_resolution,[status(thm)],[3313, 697, 3273])).
% 4.16/3.00 tff(3315,plain,
% 4.16/3.00 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s36, c_n2) | (~node8(s36)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s36, c_n2) | (~node8(s36)))),
% 4.16/3.00 inference(rewrite,[status(thm)],[])).
% 4.16/3.00 tff(3316,plain,
% 4.16/3.00 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s36, c_n2) | (~node8(s36)))),
% 4.16/3.00 inference(quant_inst,[status(thm)],[])).
% 4.16/3.00 tff(3317,plain,
% 4.16/3.00 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s36, c_n2) | (~node8(s36))),
% 4.16/3.00 inference(modus_ponens,[status(thm)],[3316, 3315])).
% 4.16/3.00 tff(3318,plain,
% 4.16/3.00 (~node8(s36)),
% 4.16/3.00 inference(unit_resolution,[status(thm)],[3317, 271, 3314])).
% 4.16/3.00 tff(3319,plain,
% 4.16/3.00 (succ(s36, s37) <=> succ(s36, s37)),
% 4.16/3.00 inference(rewrite,[status(thm)],[])).
% 4.16/3.00 tff(3320,axiom,(succ(s36, s37)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound37')).
% 4.16/3.00 tff(3321,plain,
% 4.16/3.00 (succ(s36, s37)),
% 4.16/3.00 inference(modus_ponens,[status(thm)],[3320, 3319])).
% 4.16/3.00 tff(3322,plain,
% 4.16/3.00 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s36, s37)) | trans(s36, s37))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s36, s37)) | trans(s36, s37))),
% 4.16/3.00 inference(rewrite,[status(thm)],[])).
% 4.16/3.00 tff(3323,plain,
% 4.16/3.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s36, s37)) | trans(s36, s37))),
% 4.16/3.00 inference(quant_inst,[status(thm)],[])).
% 4.16/3.00 tff(3324,plain,
% 4.16/3.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s36, s37)) | trans(s36, s37)),
% 4.16/3.00 inference(modus_ponens,[status(thm)],[3323, 3322])).
% 4.16/3.00 tff(3325,plain,
% 4.16/3.00 (trans(s36, s37)),
% 4.16/3.00 inference(unit_resolution,[status(thm)],[3324, 3321, 32])).
% 4.16/3.00 tff(3326,plain,
% 4.16/3.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s36, s37)) | node14(s36, s37))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s36, s37)) | node14(s36, s37))),
% 4.16/3.00 inference(rewrite,[status(thm)],[])).
% 4.16/3.00 tff(3327,plain,
% 4.16/3.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s36, s37)) | node14(s36, s37))),
% 4.16/3.00 inference(quant_inst,[status(thm)],[])).
% 4.16/3.00 tff(3328,plain,
% 4.16/3.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s36, s37)) | node14(s36, s37)),
% 4.16/3.00 inference(modus_ponens,[status(thm)],[3327, 3326])).
% 4.16/3.00 tff(3329,plain,
% 4.16/3.00 (node14(s36, s37)),
% 4.16/3.00 inference(unit_resolution,[status(thm)],[3328, 46, 3325])).
% 4.16/3.00 tff(3330,plain,
% 4.16/3.00 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s37, c_n2) | node9(s36) | node8(s36) | node10(s36) | node11(s36) | node12(s36) | (~node14(s36, s37)) | (~m_main_v_state2(s36, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s37, c_n2) | node9(s36) | node8(s36) | node10(s36) | node11(s36) | node12(s36) | (~node14(s36, s37)) | (~m_main_v_state2(s36, c_c2)))),
% 4.16/3.00 inference(rewrite,[status(thm)],[])).
% 4.16/3.00 tff(3331,plain,
% 4.16/3.00 (((~m_main_v_state2(s36, c_c2)) | node9(s36) | node8(s36) | node10(s36) | node11(s36) | node12(s36) | (~node14(s36, s37)) | m_main_v_state2(s37, c_n2)) <=> (m_main_v_state2(s37, c_n2) | node9(s36) | node8(s36) | node10(s36) | node11(s36) | node12(s36) | (~node14(s36, s37)) | (~m_main_v_state2(s36, c_c2)))),
% 4.16/3.01 inference(rewrite,[status(thm)],[])).
% 4.16/3.01 tff(3332,plain,
% 4.16/3.01 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s36, c_c2)) | node9(s36) | node8(s36) | node10(s36) | node11(s36) | node12(s36) | (~node14(s36, s37)) | m_main_v_state2(s37, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s37, c_n2) | node9(s36) | node8(s36) | node10(s36) | node11(s36) | node12(s36) | (~node14(s36, s37)) | (~m_main_v_state2(s36, c_c2))))),
% 4.16/3.01 inference(monotonicity,[status(thm)],[3331])).
% 4.16/3.01 tff(3333,plain,
% 4.16/3.01 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s36, c_c2)) | node9(s36) | node8(s36) | node10(s36) | node11(s36) | node12(s36) | (~node14(s36, s37)) | m_main_v_state2(s37, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s37, c_n2) | node9(s36) | node8(s36) | node10(s36) | node11(s36) | node12(s36) | (~node14(s36, s37)) | (~m_main_v_state2(s36, c_c2)))),
% 4.16/3.01 inference(transitivity,[status(thm)],[3332, 3330])).
% 4.16/3.01 tff(3334,plain,
% 4.16/3.01 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s36, c_c2)) | node9(s36) | node8(s36) | node10(s36) | node11(s36) | node12(s36) | (~node14(s36, s37)) | m_main_v_state2(s37, c_n2))),
% 4.16/3.01 inference(quant_inst,[status(thm)],[])).
% 4.16/3.01 tff(3335,plain,
% 4.16/3.01 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s37, c_n2) | node9(s36) | node8(s36) | node10(s36) | node11(s36) | node12(s36) | (~node14(s36, s37)) | (~m_main_v_state2(s36, c_c2))),
% 4.16/3.01 inference(modus_ponens,[status(thm)],[3334, 3333])).
% 4.16/3.01 tff(3336,plain,
% 4.16/3.01 (m_main_v_state2(s37, c_n2) | node9(s36) | node8(s36) | node10(s36) | node11(s36) | node12(s36) | (~m_main_v_state2(s36, c_c2))),
% 4.16/3.01 inference(unit_resolution,[status(thm)],[3335, 726, 3329])).
% 4.16/3.01 tff(3337,plain,
% 4.16/3.01 (m_main_v_state2(s37, c_n2)),
% 4.16/3.01 inference(unit_resolution,[status(thm)],[3336, 3318, 3273, 3310, 3306, 3298, 3281])).
% 4.16/3.01 tff(3338,plain,
% 4.16/3.01 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s37, c_n2)) | (~m_main_v_state2(s37, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s37, c_n2)) | (~m_main_v_state2(s37, c_c2)))),
% 4.16/3.01 inference(rewrite,[status(thm)],[])).
% 4.16/3.01 tff(3339,plain,
% 4.16/3.01 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s37, c_n2)) | (~m_main_v_state2(s37, c_c2)))),
% 4.16/3.01 inference(quant_inst,[status(thm)],[])).
% 4.16/3.01 tff(3340,plain,
% 4.16/3.01 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s37, c_n2)) | (~m_main_v_state2(s37, c_c2))),
% 4.16/3.01 inference(modus_ponens,[status(thm)],[3339, 3338])).
% 4.16/3.01 tff(3341,plain,
% 4.16/3.01 (~m_main_v_state2(s37, c_c2)),
% 4.16/3.01 inference(unit_resolution,[status(thm)],[3340, 697, 3337])).
% 4.16/3.01 tff(3342,plain,
% 4.16/3.01 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s37, c_c2) | (~node3(s37)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s37, c_c2) | (~node3(s37)))),
% 4.16/3.01 inference(rewrite,[status(thm)],[])).
% 4.16/3.01 tff(3343,plain,
% 4.16/3.01 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s37, c_c2) | (~node3(s37)))),
% 4.16/3.01 inference(quant_inst,[status(thm)],[])).
% 4.16/3.01 tff(3344,plain,
% 4.16/3.01 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s37, c_c2) | (~node3(s37))),
% 4.16/3.01 inference(modus_ponens,[status(thm)],[3343, 3342])).
% 4.16/3.01 tff(3345,plain,
% 4.16/3.01 (~node3(s37)),
% 4.16/3.01 inference(unit_resolution,[status(thm)],[3344, 399, 3341])).
% 4.16/3.01 tff(3346,plain,
% 4.16/3.01 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s36, c_n1) | (~node1(s36)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s36, c_n1) | (~node1(s36)))),
% 4.16/3.01 inference(rewrite,[status(thm)],[])).
% 4.16/3.01 tff(3347,plain,
% 4.16/3.01 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s36, c_n1) | (~node1(s36)))),
% 4.16/3.01 inference(quant_inst,[status(thm)],[])).
% 4.16/3.01 tff(3348,plain,
% 4.16/3.01 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s36, c_n1) | (~node1(s36))),
% 4.16/3.01 inference(modus_ponens,[status(thm)],[3347, 3346])).
% 4.16/3.01 tff(3349,plain,
% 4.16/3.01 (~node1(s36)),
% 4.16/3.01 inference(unit_resolution,[status(thm)],[3348, 421, 3294])).
% 4.16/3.01 tff(3350,plain,
% 4.16/3.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s35, s36)) | node18(s35, s36))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s35, s36)) | node18(s35, s36))),
% 4.16/3.01 inference(rewrite,[status(thm)],[])).
% 4.16/3.01 tff(3351,plain,
% 4.16/3.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s35, s36)) | node18(s35, s36))),
% 4.16/3.01 inference(quant_inst,[status(thm)],[])).
% 4.16/3.01 tff(3352,plain,
% 4.16/3.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s35, s36)) | node18(s35, s36)),
% 4.16/3.01 inference(modus_ponens,[status(thm)],[3351, 3350])).
% 4.16/3.01 tff(3353,plain,
% 4.16/3.01 (node18(s35, s36)),
% 4.16/3.01 inference(unit_resolution,[status(thm)],[3352, 125, 3264])).
% 4.16/3.01 tff(3354,plain,
% 4.16/3.01 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s35, c_n1)) | (~m_main_v_state2(s35, c_t2)) | (~node18(s35, s36)) | m_main_v_turn(s36, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s35, c_n1)) | (~m_main_v_state2(s35, c_t2)) | (~node18(s35, s36)) | m_main_v_turn(s36, c_2))),
% 4.16/3.01 inference(rewrite,[status(thm)],[])).
% 4.16/3.01 tff(3355,plain,
% 4.16/3.01 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s35, c_n1)) | (~m_main_v_state2(s35, c_t2)) | (~node18(s35, s36)) | m_main_v_turn(s36, c_2))),
% 4.16/3.01 inference(quant_inst,[status(thm)],[])).
% 4.16/3.01 tff(3356,plain,
% 4.16/3.01 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s35, c_n1)) | (~m_main_v_state2(s35, c_t2)) | (~node18(s35, s36)) | m_main_v_turn(s36, c_2)),
% 4.16/3.01 inference(modus_ponens,[status(thm)],[3355, 3354])).
% 4.16/3.01 tff(3357,plain,
% 4.16/3.01 ((~m_main_v_state1(s35, c_n1)) | (~m_main_v_state2(s35, c_t2)) | m_main_v_turn(s36, c_2)),
% 4.16/3.01 inference(unit_resolution,[status(thm)],[3356, 760, 3353])).
% 4.16/3.01 tff(3358,plain,
% 4.16/3.01 (m_main_v_turn(s36, c_2)),
% 4.16/3.01 inference(unit_resolution,[status(thm)],[3357, 3217, 3253])).
% 4.16/3.01 tff(3359,plain,
% 4.16/3.01 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s36, c_1)) | (~m_main_v_turn(s36, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s36, c_1)) | (~m_main_v_turn(s36, c_2)))),
% 4.16/3.01 inference(rewrite,[status(thm)],[])).
% 4.16/3.01 tff(3360,plain,
% 4.16/3.01 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s36, c_1)) | (~m_main_v_turn(s36, c_2)))),
% 4.16/3.01 inference(quant_inst,[status(thm)],[])).
% 4.16/3.01 tff(3361,plain,
% 4.16/3.01 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s36, c_1)) | (~m_main_v_turn(s36, c_2))),
% 4.16/3.01 inference(modus_ponens,[status(thm)],[3360, 3359])).
% 4.16/3.01 tff(3362,plain,
% 4.16/3.01 (~m_main_v_turn(s36, c_1)),
% 4.16/3.01 inference(unit_resolution,[status(thm)],[3361, 156, 3358])).
% 4.16/3.01 tff(3363,plain,
% 4.16/3.01 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s36, c_1) | (~node5(s36)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s36, c_1) | (~node5(s36)))),
% 4.16/3.01 inference(rewrite,[status(thm)],[])).
% 4.16/3.01 tff(3364,plain,
% 4.16/3.01 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s36, c_1) | (~node5(s36)))),
% 4.16/3.01 inference(quant_inst,[status(thm)],[])).
% 4.16/3.01 tff(3365,plain,
% 4.16/3.01 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s36, c_1) | (~node5(s36))),
% 4.16/3.01 inference(modus_ponens,[status(thm)],[3364, 3363])).
% 4.16/3.01 tff(3366,plain,
% 4.16/3.01 (~node5(s36)),
% 4.16/3.01 inference(unit_resolution,[status(thm)],[3365, 776, 3362])).
% 4.16/3.01 tff(3367,plain,
% 4.16/3.01 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s36, c_n1) | (~node2(s36)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s36, c_n1) | (~node2(s36)))),
% 4.16/3.01 inference(rewrite,[status(thm)],[])).
% 4.16/3.01 tff(3368,plain,
% 4.16/3.01 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s36, c_n1) | (~node2(s36)))),
% 4.16/3.01 inference(quant_inst,[status(thm)],[])).
% 4.16/3.01 tff(3369,plain,
% 4.16/3.01 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s36, c_n1) | (~node2(s36))),
% 4.16/3.01 inference(modus_ponens,[status(thm)],[3368, 3367])).
% 4.16/3.01 tff(3370,plain,
% 4.16/3.01 (~node2(s36)),
% 4.16/3.01 inference(unit_resolution,[status(thm)],[3369, 787, 3294])).
% 4.16/3.01 tff(3371,plain,
% 4.16/3.01 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s36, c_n1) | (~node3(s36)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s36, c_n1) | (~node3(s36)))),
% 4.16/3.01 inference(rewrite,[status(thm)],[])).
% 4.16/3.01 tff(3372,plain,
% 4.16/3.01 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s36, c_n1) | (~node3(s36)))),
% 4.16/3.01 inference(quant_inst,[status(thm)],[])).
% 4.16/3.01 tff(3373,plain,
% 4.16/3.01 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s36, c_n1) | (~node3(s36))),
% 4.16/3.01 inference(modus_ponens,[status(thm)],[3372, 3371])).
% 4.16/3.01 tff(3374,plain,
% 4.16/3.01 (~node3(s36)),
% 4.16/3.01 inference(unit_resolution,[status(thm)],[3373, 798, 3294])).
% 4.16/3.01 tff(3375,plain,
% 4.16/3.01 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s36, c_n2) | (~node4(s36)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s36, c_n2) | (~node4(s36)))),
% 4.16/3.01 inference(rewrite,[status(thm)],[])).
% 4.16/3.01 tff(3376,plain,
% 4.16/3.01 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s36, c_n2) | (~node4(s36)))),
% 4.16/3.01 inference(quant_inst,[status(thm)],[])).
% 4.16/3.01 tff(3377,plain,
% 4.16/3.01 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s36, c_n2) | (~node4(s36))),
% 4.16/3.01 inference(modus_ponens,[status(thm)],[3376, 3375])).
% 4.16/3.01 tff(3378,plain,
% 4.16/3.01 (~node4(s36)),
% 4.16/3.01 inference(unit_resolution,[status(thm)],[3377, 388, 3314])).
% 4.16/3.01 tff(3379,plain,
% 4.16/3.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s36, s37)) | node7(s36, s37))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s36, s37)) | node7(s36, s37))),
% 4.16/3.01 inference(rewrite,[status(thm)],[])).
% 4.16/3.01 tff(3380,plain,
% 4.16/3.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s36, s37)) | node7(s36, s37))),
% 4.16/3.01 inference(quant_inst,[status(thm)],[])).
% 4.16/3.01 tff(3381,plain,
% 4.16/3.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s36, s37)) | node7(s36, s37)),
% 4.16/3.01 inference(modus_ponens,[status(thm)],[3380, 3379])).
% 4.16/3.01 tff(3382,plain,
% 4.16/3.01 (node7(s36, s37)),
% 4.16/3.01 inference(unit_resolution,[status(thm)],[3381, 206, 3325])).
% 4.16/3.01 tff(3383,plain,
% 4.16/3.01 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s36, c_c1) | node1(s36) | node2(s36) | node3(s36) | node4(s36) | node5(s36) | node6(s36, s37) | (~node7(s36, s37)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s36, c_c1) | node1(s36) | node2(s36) | node3(s36) | node4(s36) | node5(s36) | node6(s36, s37) | (~node7(s36, s37)))),
% 4.16/3.01 inference(rewrite,[status(thm)],[])).
% 4.16/3.01 tff(3384,plain,
% 4.16/3.01 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s36, c_c1) | node1(s36) | node2(s36) | node3(s36) | node4(s36) | node5(s36) | node6(s36, s37) | (~node7(s36, s37)))),
% 4.16/3.01 inference(quant_inst,[status(thm)],[])).
% 4.16/3.01 tff(3385,plain,
% 4.16/3.01 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s36, c_c1) | node1(s36) | node2(s36) | node3(s36) | node4(s36) | node5(s36) | node6(s36, s37) | (~node7(s36, s37))),
% 4.16/3.01 inference(modus_ponens,[status(thm)],[3384, 3383])).
% 4.16/3.01 tff(3386,plain,
% 4.16/3.01 (m_main_v_state1(s36, c_c1) | node1(s36) | node2(s36) | node3(s36) | node4(s36) | node5(s36) | node6(s36, s37)),
% 4.16/3.01 inference(unit_resolution,[status(thm)],[3385, 820, 3382])).
% 4.16/3.01 tff(3387,plain,
% 4.16/3.01 (node6(s36, s37)),
% 4.16/3.01 inference(unit_resolution,[status(thm)],[3386, 3378, 3302, 3374, 3370, 3366, 3349])).
% 4.16/3.01 tff(3388,plain,
% 4.16/3.01 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s36, c_n1) | (~m_main_v_state1(s37, c_n1)) | (~node6(s36, s37)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s36, c_n1) | (~m_main_v_state1(s37, c_n1)) | (~node6(s36, s37)))),
% 4.16/3.01 inference(rewrite,[status(thm)],[])).
% 4.16/3.01 tff(3389,plain,
% 4.16/3.01 (((~node6(s36, s37)) | m_main_v_state1(s36, c_n1) | (~m_main_v_state1(s37, c_n1))) <=> (m_main_v_state1(s36, c_n1) | (~m_main_v_state1(s37, c_n1)) | (~node6(s36, s37)))),
% 4.16/3.01 inference(rewrite,[status(thm)],[])).
% 4.16/3.01 tff(3390,plain,
% 4.16/3.01 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s36, s37)) | m_main_v_state1(s36, c_n1) | (~m_main_v_state1(s37, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s36, c_n1) | (~m_main_v_state1(s37, c_n1)) | (~node6(s36, s37))))),
% 4.16/3.01 inference(monotonicity,[status(thm)],[3389])).
% 4.16/3.01 tff(3391,plain,
% 4.16/3.01 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s36, s37)) | m_main_v_state1(s36, c_n1) | (~m_main_v_state1(s37, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s36, c_n1) | (~m_main_v_state1(s37, c_n1)) | (~node6(s36, s37)))),
% 4.16/3.01 inference(transitivity,[status(thm)],[3390, 3388])).
% 4.16/3.01 tff(3392,plain,
% 4.16/3.01 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s36, s37)) | m_main_v_state1(s36, c_n1) | (~m_main_v_state1(s37, c_n1)))),
% 4.16/3.01 inference(quant_inst,[status(thm)],[])).
% 4.16/3.01 tff(3393,plain,
% 4.16/3.01 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s36, c_n1) | (~m_main_v_state1(s37, c_n1)) | (~node6(s36, s37))),
% 4.16/3.01 inference(modus_ponens,[status(thm)],[3392, 3391])).
% 4.16/3.01 tff(3394,plain,
% 4.16/3.01 (~m_main_v_state1(s37, c_n1)),
% 4.16/3.01 inference(unit_resolution,[status(thm)],[3393, 835, 3294, 3387])).
% 4.16/3.01 tff(3395,plain,
% 4.16/3.01 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s37, c_n1) | (~node2(s37)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s37, c_n1) | (~node2(s37)))),
% 4.16/3.01 inference(rewrite,[status(thm)],[])).
% 4.16/3.01 tff(3396,plain,
% 4.16/3.01 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s37, c_n1) | (~node2(s37)))),
% 4.16/3.01 inference(quant_inst,[status(thm)],[])).
% 4.16/3.01 tff(3397,plain,
% 4.16/3.01 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s37, c_n1) | (~node2(s37))),
% 4.16/3.01 inference(modus_ponens,[status(thm)],[3396, 3395])).
% 4.16/3.01 tff(3398,plain,
% 4.16/3.01 (~node2(s37)),
% 4.16/3.01 inference(unit_resolution,[status(thm)],[3397, 787, 3394])).
% 4.16/3.01 tff(3399,plain,
% 4.16/3.01 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s36, c_t1)) | m_main_v_state1(s37, c_t1) | (~node6(s36, s37)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s36, c_t1)) | m_main_v_state1(s37, c_t1) | (~node6(s36, s37)))),
% 4.16/3.01 inference(rewrite,[status(thm)],[])).
% 4.16/3.01 tff(3400,plain,
% 4.16/3.01 (((~node6(s36, s37)) | (~m_main_v_state1(s36, c_t1)) | m_main_v_state1(s37, c_t1)) <=> ((~m_main_v_state1(s36, c_t1)) | m_main_v_state1(s37, c_t1) | (~node6(s36, s37)))),
% 4.16/3.01 inference(rewrite,[status(thm)],[])).
% 4.16/3.01 tff(3401,plain,
% 4.16/3.01 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s36, s37)) | (~m_main_v_state1(s36, c_t1)) | m_main_v_state1(s37, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s36, c_t1)) | m_main_v_state1(s37, c_t1) | (~node6(s36, s37))))),
% 4.16/3.01 inference(monotonicity,[status(thm)],[3400])).
% 4.16/3.01 tff(3402,plain,
% 4.16/3.01 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s36, s37)) | (~m_main_v_state1(s36, c_t1)) | m_main_v_state1(s37, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s36, c_t1)) | m_main_v_state1(s37, c_t1) | (~node6(s36, s37)))),
% 4.16/3.01 inference(transitivity,[status(thm)],[3401, 3399])).
% 4.16/3.01 tff(3403,plain,
% 4.16/3.01 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s36, s37)) | (~m_main_v_state1(s36, c_t1)) | m_main_v_state1(s37, c_t1))),
% 4.16/3.01 inference(quant_inst,[status(thm)],[])).
% 4.16/3.01 tff(3404,plain,
% 4.16/3.01 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s36, c_t1)) | m_main_v_state1(s37, c_t1) | (~node6(s36, s37))),
% 4.16/3.01 inference(modus_ponens,[status(thm)],[3403, 3402])).
% 4.16/3.01 tff(3405,plain,
% 4.16/3.01 (m_main_v_state1(s37, c_t1)),
% 4.16/3.01 inference(unit_resolution,[status(thm)],[3404, 856, 3290, 3387])).
% 4.16/3.01 tff(3406,plain,
% 4.16/3.01 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s37, c_n2)) | (~m_main_v_state2(s37, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s37, c_n2)) | (~m_main_v_state2(s37, c_t2)))),
% 4.16/3.01 inference(rewrite,[status(thm)],[])).
% 4.16/3.01 tff(3407,plain,
% 4.16/3.01 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s37, c_n2)) | (~m_main_v_state2(s37, c_t2)))),
% 4.16/3.01 inference(quant_inst,[status(thm)],[])).
% 4.16/3.01 tff(3408,plain,
% 4.16/3.01 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s37, c_n2)) | (~m_main_v_state2(s37, c_t2))),
% 4.16/3.01 inference(modus_ponens,[status(thm)],[3407, 3406])).
% 4.16/3.01 tff(3409,plain,
% 4.16/3.01 (~m_main_v_state2(s37, c_t2)),
% 4.16/3.01 inference(unit_resolution,[status(thm)],[3408, 77, 3337])).
% 4.16/3.01 tff(3410,plain,
% 4.16/3.01 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s37, c_t2) | (~node1(s37)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s37, c_t2) | (~node1(s37)))),
% 4.16/3.01 inference(rewrite,[status(thm)],[])).
% 4.16/3.01 tff(3411,plain,
% 4.16/3.01 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s37, c_t2) | (~node1(s37)))),
% 4.16/3.01 inference(quant_inst,[status(thm)],[])).
% 4.16/3.01 tff(3412,plain,
% 4.16/3.01 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s37, c_t2) | (~node1(s37))),
% 4.16/3.01 inference(modus_ponens,[status(thm)],[3411, 3410])).
% 4.16/3.01 tff(3413,plain,
% 4.16/3.01 (~node1(s37)),
% 4.16/3.01 inference(unit_resolution,[status(thm)],[3412, 195, 3409])).
% 4.16/3.01 tff(3414,plain,
% 4.16/3.01 (succ(s37, s38) <=> succ(s37, s38)),
% 4.16/3.01 inference(rewrite,[status(thm)],[])).
% 4.16/3.01 tff(3415,axiom,(succ(s37, s38)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound38')).
% 4.16/3.01 tff(3416,plain,
% 4.16/3.01 (succ(s37, s38)),
% 4.16/3.01 inference(modus_ponens,[status(thm)],[3415, 3414])).
% 4.16/3.01 tff(3417,plain,
% 4.16/3.01 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s37, s38)) | trans(s37, s38))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s37, s38)) | trans(s37, s38))),
% 4.16/3.01 inference(rewrite,[status(thm)],[])).
% 4.16/3.01 tff(3418,plain,
% 4.16/3.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s37, s38)) | trans(s37, s38))),
% 4.16/3.01 inference(quant_inst,[status(thm)],[])).
% 4.16/3.01 tff(3419,plain,
% 4.16/3.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s37, s38)) | trans(s37, s38)),
% 4.16/3.01 inference(modus_ponens,[status(thm)],[3418, 3417])).
% 4.16/3.01 tff(3420,plain,
% 4.16/3.01 (trans(s37, s38)),
% 4.16/3.01 inference(unit_resolution,[status(thm)],[3419, 3416, 32])).
% 4.16/3.01 tff(3421,plain,
% 4.16/3.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s37, s38)) | node7(s37, s38))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s37, s38)) | node7(s37, s38))),
% 4.16/3.01 inference(rewrite,[status(thm)],[])).
% 4.16/3.01 tff(3422,plain,
% 4.16/3.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s37, s38)) | node7(s37, s38))),
% 4.16/3.01 inference(quant_inst,[status(thm)],[])).
% 4.16/3.01 tff(3423,plain,
% 4.16/3.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s37, s38)) | node7(s37, s38)),
% 4.16/3.01 inference(modus_ponens,[status(thm)],[3422, 3421])).
% 4.16/3.01 tff(3424,plain,
% 4.16/3.01 (node7(s37, s38)),
% 4.16/3.01 inference(unit_resolution,[status(thm)],[3423, 206, 3420])).
% 4.16/3.01 tff(3425,plain,
% 4.16/3.01 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s37, c_t1)) | (~m_main_v_state2(s37, c_n2)) | m_main_v_state1(s38, c_c1) | node1(s37) | node2(s37) | node3(s37) | (~node7(s37, s38)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s37, c_t1)) | (~m_main_v_state2(s37, c_n2)) | m_main_v_state1(s38, c_c1) | node1(s37) | node2(s37) | node3(s37) | (~node7(s37, s38)))),
% 4.16/3.01 inference(rewrite,[status(thm)],[])).
% 4.16/3.01 tff(3426,plain,
% 4.16/3.01 (((~m_main_v_state1(s37, c_t1)) | (~m_main_v_state2(s37, c_n2)) | node1(s37) | node2(s37) | node3(s37) | (~node7(s37, s38)) | m_main_v_state1(s38, c_c1)) <=> ((~m_main_v_state1(s37, c_t1)) | (~m_main_v_state2(s37, c_n2)) | m_main_v_state1(s38, c_c1) | node1(s37) | node2(s37) | node3(s37) | (~node7(s37, s38)))),
% 4.16/3.01 inference(rewrite,[status(thm)],[])).
% 4.16/3.01 tff(3427,plain,
% 4.16/3.01 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s37, c_t1)) | (~m_main_v_state2(s37, c_n2)) | node1(s37) | node2(s37) | node3(s37) | (~node7(s37, s38)) | m_main_v_state1(s38, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s37, c_t1)) | (~m_main_v_state2(s37, c_n2)) | m_main_v_state1(s38, c_c1) | node1(s37) | node2(s37) | node3(s37) | (~node7(s37, s38))))),
% 4.16/3.01 inference(monotonicity,[status(thm)],[3426])).
% 4.16/3.01 tff(3428,plain,
% 4.16/3.01 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s37, c_t1)) | (~m_main_v_state2(s37, c_n2)) | node1(s37) | node2(s37) | node3(s37) | (~node7(s37, s38)) | m_main_v_state1(s38, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s37, c_t1)) | (~m_main_v_state2(s37, c_n2)) | m_main_v_state1(s38, c_c1) | node1(s37) | node2(s37) | node3(s37) | (~node7(s37, s38)))),
% 4.16/3.01 inference(transitivity,[status(thm)],[3427, 3425])).
% 4.16/3.01 tff(3429,plain,
% 4.16/3.01 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s37, c_t1)) | (~m_main_v_state2(s37, c_n2)) | node1(s37) | node2(s37) | node3(s37) | (~node7(s37, s38)) | m_main_v_state1(s38, c_c1))),
% 4.16/3.01 inference(quant_inst,[status(thm)],[])).
% 4.16/3.01 tff(3430,plain,
% 4.16/3.01 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s37, c_t1)) | (~m_main_v_state2(s37, c_n2)) | m_main_v_state1(s38, c_c1) | node1(s37) | node2(s37) | node3(s37) | (~node7(s37, s38))),
% 4.16/3.01 inference(modus_ponens,[status(thm)],[3429, 3428])).
% 4.16/3.01 tff(3431,plain,
% 4.16/3.01 ((~m_main_v_state1(s37, c_t1)) | (~m_main_v_state2(s37, c_n2)) | m_main_v_state1(s38, c_c1) | node1(s37) | node2(s37) | node3(s37)),
% 4.16/3.01 inference(unit_resolution,[status(thm)],[3430, 892, 3424])).
% 4.16/3.01 tff(3432,plain,
% 4.16/3.01 (m_main_v_state1(s38, c_c1)),
% 4.16/3.01 inference(unit_resolution,[status(thm)],[3431, 3413, 3337, 3405, 3398, 3345])).
% 4.16/3.01 tff(3433,plain,
% 4.16/3.01 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s38, c_t1)) | (~m_main_v_state1(s38, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s38, c_t1)) | (~m_main_v_state1(s38, c_c1)))),
% 4.16/3.01 inference(rewrite,[status(thm)],[])).
% 4.16/3.01 tff(3434,plain,
% 4.16/3.01 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s38, c_t1)) | (~m_main_v_state1(s38, c_c1)))),
% 4.16/3.01 inference(quant_inst,[status(thm)],[])).
% 4.16/3.01 tff(3435,plain,
% 4.16/3.01 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s38, c_t1)) | (~m_main_v_state1(s38, c_c1))),
% 4.16/3.01 inference(modus_ponens,[status(thm)],[3434, 3433])).
% 4.16/3.01 tff(3436,plain,
% 4.16/3.01 (~m_main_v_state1(s38, c_t1)),
% 4.16/3.01 inference(unit_resolution,[status(thm)],[3435, 539, 3432])).
% 4.16/3.01 tff(3437,plain,
% 4.16/3.01 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s38, c_t1) | (~node5(s38)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s38, c_t1) | (~node5(s38)))),
% 4.16/3.01 inference(rewrite,[status(thm)],[])).
% 4.16/3.01 tff(3438,plain,
% 4.16/3.01 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s38, c_t1) | (~node5(s38)))),
% 4.16/3.01 inference(quant_inst,[status(thm)],[])).
% 4.16/3.01 tff(3439,plain,
% 4.16/3.01 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s38, c_t1) | (~node5(s38))),
% 4.16/3.01 inference(modus_ponens,[status(thm)],[3438, 3437])).
% 4.16/3.01 tff(3440,plain,
% 4.16/3.01 (~node5(s38)),
% 4.16/3.01 inference(unit_resolution,[status(thm)],[3439, 550, 3436])).
% 4.16/3.01 tff(3441,plain,
% 4.16/3.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s37, s38)) | node14(s37, s38))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s37, s38)) | node14(s37, s38))),
% 4.16/3.01 inference(rewrite,[status(thm)],[])).
% 4.16/3.01 tff(3442,plain,
% 4.16/3.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s37, s38)) | node14(s37, s38))),
% 4.16/3.01 inference(quant_inst,[status(thm)],[])).
% 4.16/3.01 tff(3443,plain,
% 4.16/3.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s37, s38)) | node14(s37, s38)),
% 4.16/3.01 inference(modus_ponens,[status(thm)],[3442, 3441])).
% 4.16/3.01 tff(3444,plain,
% 4.16/3.01 (node14(s37, s38)),
% 4.16/3.01 inference(unit_resolution,[status(thm)],[3443, 46, 3420])).
% 4.16/3.01 tff(3445,plain,
% 4.16/3.01 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s37, c_t1)) | (~m_main_v_state2(s37, c_n2)) | (~node14(s37, s38)) | m_main_v_state2(s38, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s37, c_t1)) | (~m_main_v_state2(s37, c_n2)) | (~node14(s37, s38)) | m_main_v_state2(s38, c_t2))),
% 4.16/3.01 inference(rewrite,[status(thm)],[])).
% 4.16/3.01 tff(3446,plain,
% 4.16/3.01 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s37, c_t1)) | (~m_main_v_state2(s37, c_n2)) | (~node14(s37, s38)) | m_main_v_state2(s38, c_t2))),
% 4.16/3.01 inference(quant_inst,[status(thm)],[])).
% 4.16/3.01 tff(3447,plain,
% 4.16/3.01 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s37, c_t1)) | (~m_main_v_state2(s37, c_n2)) | (~node14(s37, s38)) | m_main_v_state2(s38, c_t2)),
% 4.16/3.01 inference(modus_ponens,[status(thm)],[3446, 3445])).
% 4.16/3.02 tff(3448,plain,
% 4.16/3.02 ((~m_main_v_state1(s37, c_t1)) | (~m_main_v_state2(s37, c_n2)) | m_main_v_state2(s38, c_t2)),
% 4.16/3.02 inference(unit_resolution,[status(thm)],[3447, 922, 3444])).
% 4.16/3.02 tff(3449,plain,
% 4.16/3.02 (m_main_v_state2(s38, c_t2)),
% 4.16/3.02 inference(unit_resolution,[status(thm)],[3448, 3405, 3337])).
% 4.16/3.02 tff(3450,plain,
% 4.16/3.02 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s38, c_n2)) | (~m_main_v_state2(s38, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s38, c_n2)) | (~m_main_v_state2(s38, c_t2)))),
% 4.16/3.02 inference(rewrite,[status(thm)],[])).
% 4.16/3.02 tff(3451,plain,
% 4.16/3.02 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s38, c_n2)) | (~m_main_v_state2(s38, c_t2)))),
% 4.16/3.02 inference(quant_inst,[status(thm)],[])).
% 4.16/3.02 tff(3452,plain,
% 4.16/3.02 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s38, c_n2)) | (~m_main_v_state2(s38, c_t2))),
% 4.16/3.02 inference(modus_ponens,[status(thm)],[3451, 3450])).
% 4.16/3.02 tff(3453,plain,
% 4.16/3.02 (~m_main_v_state2(s38, c_n2)),
% 4.16/3.02 inference(unit_resolution,[status(thm)],[3452, 77, 3449])).
% 4.16/3.02 tff(3454,plain,
% 4.16/3.02 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s38, c_n2) | (~node4(s38)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s38, c_n2) | (~node4(s38)))),
% 4.16/3.02 inference(rewrite,[status(thm)],[])).
% 4.16/3.02 tff(3455,plain,
% 4.16/3.02 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s38, c_n2) | (~node4(s38)))),
% 4.16/3.02 inference(quant_inst,[status(thm)],[])).
% 4.16/3.02 tff(3456,plain,
% 4.16/3.02 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s38, c_n2) | (~node4(s38))),
% 4.16/3.02 inference(modus_ponens,[status(thm)],[3455, 3454])).
% 4.16/3.02 tff(3457,plain,
% 4.16/3.02 (~node4(s38)),
% 4.16/3.02 inference(unit_resolution,[status(thm)],[3456, 388, 3453])).
% 4.16/3.02 tff(3458,plain,
% 4.16/3.02 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s38, c_t2)) | (~m_main_v_state2(s38, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s38, c_t2)) | (~m_main_v_state2(s38, c_c2)))),
% 4.16/3.02 inference(rewrite,[status(thm)],[])).
% 4.16/3.02 tff(3459,plain,
% 4.16/3.02 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s38, c_t2)) | (~m_main_v_state2(s38, c_c2)))),
% 4.16/3.02 inference(quant_inst,[status(thm)],[])).
% 4.16/3.02 tff(3460,plain,
% 4.16/3.02 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s38, c_t2)) | (~m_main_v_state2(s38, c_c2))),
% 4.16/3.02 inference(modus_ponens,[status(thm)],[3459, 3458])).
% 4.16/3.02 tff(3461,plain,
% 4.16/3.02 (~m_main_v_state2(s38, c_c2)),
% 4.16/3.02 inference(unit_resolution,[status(thm)],[3460, 260, 3449])).
% 4.16/3.02 tff(3462,plain,
% 4.16/3.02 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s38, c_c2) | (~node3(s38)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s38, c_c2) | (~node3(s38)))),
% 4.16/3.02 inference(rewrite,[status(thm)],[])).
% 4.16/3.02 tff(3463,plain,
% 4.16/3.02 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s38, c_c2) | (~node3(s38)))),
% 4.16/3.02 inference(quant_inst,[status(thm)],[])).
% 4.16/3.02 tff(3464,plain,
% 4.16/3.02 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s38, c_c2) | (~node3(s38))),
% 4.16/3.02 inference(modus_ponens,[status(thm)],[3463, 3462])).
% 4.16/3.02 tff(3465,plain,
% 4.16/3.02 (~node3(s38)),
% 4.16/3.02 inference(unit_resolution,[status(thm)],[3464, 399, 3461])).
% 4.16/3.02 tff(3466,plain,
% 4.16/3.02 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s38, c_n2) | (~node2(s38)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s38, c_n2) | (~node2(s38)))),
% 4.16/3.02 inference(rewrite,[status(thm)],[])).
% 4.16/3.02 tff(3467,plain,
% 4.16/3.02 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s38, c_n2) | (~node2(s38)))),
% 4.16/3.02 inference(quant_inst,[status(thm)],[])).
% 4.16/3.02 tff(3468,plain,
% 4.16/3.02 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s38, c_n2) | (~node2(s38))),
% 4.16/3.02 inference(modus_ponens,[status(thm)],[3467, 3466])).
% 4.16/3.02 tff(3469,plain,
% 4.16/3.02 (~node2(s38)),
% 4.16/3.02 inference(unit_resolution,[status(thm)],[3468, 410, 3453])).
% 4.16/3.02 tff(3470,plain,
% 4.16/3.02 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s38, c_n1)) | (~m_main_v_state1(s38, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s38, c_n1)) | (~m_main_v_state1(s38, c_c1)))),
% 4.16/3.02 inference(rewrite,[status(thm)],[])).
% 4.16/3.02 tff(3471,plain,
% 4.16/3.02 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s38, c_n1)) | (~m_main_v_state1(s38, c_c1)))),
% 4.16/3.02 inference(quant_inst,[status(thm)],[])).
% 4.16/3.02 tff(3472,plain,
% 4.16/3.02 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s38, c_n1)) | (~m_main_v_state1(s38, c_c1))),
% 4.16/3.02 inference(modus_ponens,[status(thm)],[3471, 3470])).
% 4.16/3.02 tff(3473,plain,
% 4.16/3.02 (~m_main_v_state1(s38, c_n1)),
% 4.16/3.02 inference(unit_resolution,[status(thm)],[3472, 454, 3432])).
% 4.16/3.02 tff(3474,plain,
% 4.16/3.02 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s38, c_n1) | (~node1(s38)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s38, c_n1) | (~node1(s38)))),
% 4.16/3.02 inference(rewrite,[status(thm)],[])).
% 4.16/3.02 tff(3475,plain,
% 4.16/3.02 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s38, c_n1) | (~node1(s38)))),
% 4.16/3.02 inference(quant_inst,[status(thm)],[])).
% 4.16/3.02 tff(3476,plain,
% 4.16/3.02 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s38, c_n1) | (~node1(s38))),
% 4.16/3.02 inference(modus_ponens,[status(thm)],[3475, 3474])).
% 4.16/3.02 tff(3477,plain,
% 4.16/3.02 (~node1(s38)),
% 4.16/3.02 inference(unit_resolution,[status(thm)],[3476, 421, 3473])).
% 4.16/3.02 tff(3478,plain,
% 4.16/3.02 (succ(s38, s39) <=> succ(s38, s39)),
% 4.16/3.02 inference(rewrite,[status(thm)],[])).
% 4.16/3.02 tff(3479,axiom,(succ(s38, s39)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound39')).
% 4.16/3.02 tff(3480,plain,
% 4.16/3.02 (succ(s38, s39)),
% 4.16/3.02 inference(modus_ponens,[status(thm)],[3479, 3478])).
% 4.16/3.02 tff(3481,plain,
% 4.16/3.02 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s38, s39)) | trans(s38, s39))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s38, s39)) | trans(s38, s39))),
% 4.16/3.02 inference(rewrite,[status(thm)],[])).
% 4.16/3.02 tff(3482,plain,
% 4.16/3.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s38, s39)) | trans(s38, s39))),
% 4.16/3.02 inference(quant_inst,[status(thm)],[])).
% 4.16/3.02 tff(3483,plain,
% 4.16/3.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s38, s39)) | trans(s38, s39)),
% 4.16/3.02 inference(modus_ponens,[status(thm)],[3482, 3481])).
% 4.16/3.02 tff(3484,plain,
% 4.16/3.02 (trans(s38, s39)),
% 4.16/3.02 inference(unit_resolution,[status(thm)],[3483, 3480, 32])).
% 4.16/3.02 tff(3485,plain,
% 4.16/3.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s38, s39)) | node7(s38, s39))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s38, s39)) | node7(s38, s39))),
% 4.16/3.02 inference(rewrite,[status(thm)],[])).
% 4.16/3.02 tff(3486,plain,
% 4.16/3.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s38, s39)) | node7(s38, s39))),
% 4.16/3.02 inference(quant_inst,[status(thm)],[])).
% 4.16/3.02 tff(3487,plain,
% 4.16/3.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s38, s39)) | node7(s38, s39)),
% 4.16/3.02 inference(modus_ponens,[status(thm)],[3486, 3485])).
% 4.16/3.02 tff(3488,plain,
% 4.16/3.02 (node7(s38, s39)),
% 4.16/3.02 inference(unit_resolution,[status(thm)],[3487, 206, 3484])).
% 4.16/3.02 tff(3489,plain,
% 4.16/3.02 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s39, c_n1) | (~m_main_v_state1(s38, c_c1)) | node1(s38) | node2(s38) | node3(s38) | node4(s38) | node5(s38) | (~node7(s38, s39)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s39, c_n1) | (~m_main_v_state1(s38, c_c1)) | node1(s38) | node2(s38) | node3(s38) | node4(s38) | node5(s38) | (~node7(s38, s39)))),
% 4.16/3.02 inference(rewrite,[status(thm)],[])).
% 4.16/3.02 tff(3490,plain,
% 4.16/3.02 (((~m_main_v_state1(s38, c_c1)) | node1(s38) | node2(s38) | node3(s38) | node4(s38) | node5(s38) | (~node7(s38, s39)) | m_main_v_state1(s39, c_n1)) <=> (m_main_v_state1(s39, c_n1) | (~m_main_v_state1(s38, c_c1)) | node1(s38) | node2(s38) | node3(s38) | node4(s38) | node5(s38) | (~node7(s38, s39)))),
% 4.16/3.02 inference(rewrite,[status(thm)],[])).
% 4.16/3.02 tff(3491,plain,
% 4.16/3.02 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s38, c_c1)) | node1(s38) | node2(s38) | node3(s38) | node4(s38) | node5(s38) | (~node7(s38, s39)) | m_main_v_state1(s39, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s39, c_n1) | (~m_main_v_state1(s38, c_c1)) | node1(s38) | node2(s38) | node3(s38) | node4(s38) | node5(s38) | (~node7(s38, s39))))),
% 4.16/3.02 inference(monotonicity,[status(thm)],[3490])).
% 4.16/3.02 tff(3492,plain,
% 4.16/3.02 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s38, c_c1)) | node1(s38) | node2(s38) | node3(s38) | node4(s38) | node5(s38) | (~node7(s38, s39)) | m_main_v_state1(s39, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s39, c_n1) | (~m_main_v_state1(s38, c_c1)) | node1(s38) | node2(s38) | node3(s38) | node4(s38) | node5(s38) | (~node7(s38, s39)))),
% 4.16/3.02 inference(transitivity,[status(thm)],[3491, 3489])).
% 4.16/3.02 tff(3493,plain,
% 4.16/3.02 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s38, c_c1)) | node1(s38) | node2(s38) | node3(s38) | node4(s38) | node5(s38) | (~node7(s38, s39)) | m_main_v_state1(s39, c_n1))),
% 4.16/3.02 inference(quant_inst,[status(thm)],[])).
% 4.16/3.02 tff(3494,plain,
% 4.16/3.02 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s39, c_n1) | (~m_main_v_state1(s38, c_c1)) | node1(s38) | node2(s38) | node3(s38) | node4(s38) | node5(s38) | (~node7(s38, s39))),
% 4.16/3.02 inference(modus_ponens,[status(thm)],[3493, 3492])).
% 4.16/3.02 tff(3495,plain,
% 4.16/3.02 (m_main_v_state1(s39, c_n1) | (~m_main_v_state1(s38, c_c1)) | node1(s38) | node2(s38) | node3(s38) | node4(s38) | node5(s38)),
% 4.16/3.02 inference(unit_resolution,[status(thm)],[3494, 584, 3488])).
% 4.16/3.02 tff(3496,plain,
% 4.16/3.02 (m_main_v_state1(s39, c_n1)),
% 4.16/3.02 inference(unit_resolution,[status(thm)],[3495, 3477, 3432, 3469, 3465, 3457, 3440])).
% 4.16/3.02 tff(3497,plain,
% 4.16/3.02 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s37, c_t2) | (~node15(s37)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s37, c_t2) | (~node15(s37)))),
% 4.16/3.02 inference(rewrite,[status(thm)],[])).
% 4.16/3.02 tff(3498,plain,
% 4.16/3.02 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s37, c_t2) | (~node15(s37)))),
% 4.16/3.02 inference(quant_inst,[status(thm)],[])).
% 4.16/3.02 tff(3499,plain,
% 4.16/3.02 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s37, c_t2) | (~node15(s37))),
% 4.16/3.02 inference(modus_ponens,[status(thm)],[3498, 3497])).
% 4.16/3.02 tff(3500,plain,
% 4.16/3.02 (~node15(s37)),
% 4.16/3.02 inference(unit_resolution,[status(thm)],[3499, 103, 3409])).
% 4.16/3.02 tff(3501,plain,
% 4.16/3.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s37, s38)) | node18(s37, s38))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s37, s38)) | node18(s37, s38))),
% 4.16/3.02 inference(rewrite,[status(thm)],[])).
% 4.16/3.02 tff(3502,plain,
% 4.16/3.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s37, s38)) | node18(s37, s38))),
% 4.16/3.02 inference(quant_inst,[status(thm)],[])).
% 4.16/3.02 tff(3503,plain,
% 4.16/3.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s37, s38)) | node18(s37, s38)),
% 4.16/3.02 inference(modus_ponens,[status(thm)],[3502, 3501])).
% 4.16/3.02 tff(3504,plain,
% 4.16/3.02 (node18(s37, s38)),
% 4.16/3.02 inference(unit_resolution,[status(thm)],[3503, 125, 3420])).
% 4.16/3.02 tff(3505,plain,
% 4.16/3.02 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s37) | (~node18(s37, s38)) | (~m_main_v_state1(s37, c_t1)) | (~m_main_v_state2(s37, c_n2)) | m_main_v_turn(s38, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s37) | (~node18(s37, s38)) | (~m_main_v_state1(s37, c_t1)) | (~m_main_v_state2(s37, c_n2)) | m_main_v_turn(s38, c_1))),
% 4.16/3.02 inference(rewrite,[status(thm)],[])).
% 4.16/3.02 tff(3506,plain,
% 4.16/3.02 (((~m_main_v_state1(s37, c_t1)) | (~m_main_v_state2(s37, c_n2)) | node15(s37) | (~node18(s37, s38)) | m_main_v_turn(s38, c_1)) <=> (node15(s37) | (~node18(s37, s38)) | (~m_main_v_state1(s37, c_t1)) | (~m_main_v_state2(s37, c_n2)) | m_main_v_turn(s38, c_1))),
% 4.16/3.02 inference(rewrite,[status(thm)],[])).
% 4.16/3.02 tff(3507,plain,
% 4.16/3.02 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s37, c_t1)) | (~m_main_v_state2(s37, c_n2)) | node15(s37) | (~node18(s37, s38)) | m_main_v_turn(s38, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s37) | (~node18(s37, s38)) | (~m_main_v_state1(s37, c_t1)) | (~m_main_v_state2(s37, c_n2)) | m_main_v_turn(s38, c_1)))),
% 4.16/3.02 inference(monotonicity,[status(thm)],[3506])).
% 4.16/3.02 tff(3508,plain,
% 4.16/3.02 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s37, c_t1)) | (~m_main_v_state2(s37, c_n2)) | node15(s37) | (~node18(s37, s38)) | m_main_v_turn(s38, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s37) | (~node18(s37, s38)) | (~m_main_v_state1(s37, c_t1)) | (~m_main_v_state2(s37, c_n2)) | m_main_v_turn(s38, c_1))),
% 4.16/3.02 inference(transitivity,[status(thm)],[3507, 3505])).
% 4.16/3.02 tff(3509,plain,
% 4.16/3.02 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s37, c_t1)) | (~m_main_v_state2(s37, c_n2)) | node15(s37) | (~node18(s37, s38)) | m_main_v_turn(s38, c_1))),
% 4.16/3.02 inference(quant_inst,[status(thm)],[])).
% 4.16/3.02 tff(3510,plain,
% 4.16/3.02 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s37) | (~node18(s37, s38)) | (~m_main_v_state1(s37, c_t1)) | (~m_main_v_state2(s37, c_n2)) | m_main_v_turn(s38, c_1)),
% 4.16/3.02 inference(modus_ponens,[status(thm)],[3509, 3508])).
% 4.16/3.02 tff(3511,plain,
% 4.16/3.02 (node15(s37) | (~m_main_v_state1(s37, c_t1)) | (~m_main_v_state2(s37, c_n2)) | m_main_v_turn(s38, c_1)),
% 4.16/3.02 inference(unit_resolution,[status(thm)],[3510, 992, 3504])).
% 4.16/3.02 tff(3512,plain,
% 4.16/3.02 (m_main_v_turn(s38, c_1)),
% 4.16/3.02 inference(unit_resolution,[status(thm)],[3511, 3500, 3337, 3405])).
% 4.16/3.02 tff(3513,plain,
% 4.16/3.02 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s38, c_1)) | (~m_main_v_turn(s38, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s38, c_1)) | (~m_main_v_turn(s38, c_2)))),
% 4.16/3.02 inference(rewrite,[status(thm)],[])).
% 4.16/3.02 tff(3514,plain,
% 4.16/3.02 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s38, c_1)) | (~m_main_v_turn(s38, c_2)))),
% 4.16/3.02 inference(quant_inst,[status(thm)],[])).
% 4.16/3.02 tff(3515,plain,
% 4.16/3.02 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s38, c_1)) | (~m_main_v_turn(s38, c_2))),
% 4.16/3.02 inference(modus_ponens,[status(thm)],[3514, 3513])).
% 4.16/3.02 tff(3516,plain,
% 4.16/3.02 (~m_main_v_turn(s38, c_2)),
% 4.16/3.02 inference(unit_resolution,[status(thm)],[3515, 156, 3512])).
% 4.16/3.02 tff(3517,plain,
% 4.16/3.02 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s38, c_2) | (~node12(s38)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s38, c_2) | (~node12(s38)))),
% 4.16/3.02 inference(rewrite,[status(thm)],[])).
% 4.16/3.02 tff(3518,plain,
% 4.16/3.02 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s38, c_2) | (~node12(s38)))),
% 4.16/3.02 inference(quant_inst,[status(thm)],[])).
% 4.16/3.02 tff(3519,plain,
% 4.16/3.02 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s38, c_2) | (~node12(s38))),
% 4.16/3.02 inference(modus_ponens,[status(thm)],[3518, 3517])).
% 4.16/3.02 tff(3520,plain,
% 4.16/3.02 (~node12(s38)),
% 4.16/3.02 inference(unit_resolution,[status(thm)],[3519, 184, 3516])).
% 4.16/3.02 tff(3521,plain,
% 4.16/3.02 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s38, c_n2) | (~node8(s38)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s38, c_n2) | (~node8(s38)))),
% 4.16/3.02 inference(rewrite,[status(thm)],[])).
% 4.16/3.02 tff(3522,plain,
% 4.16/3.02 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s38, c_n2) | (~node8(s38)))),
% 4.16/3.02 inference(quant_inst,[status(thm)],[])).
% 4.16/3.02 tff(3523,plain,
% 4.16/3.02 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s38, c_n2) | (~node8(s38))),
% 4.16/3.02 inference(modus_ponens,[status(thm)],[3522, 3521])).
% 4.16/3.02 tff(3524,plain,
% 4.16/3.02 (~node8(s38)),
% 4.16/3.02 inference(unit_resolution,[status(thm)],[3523, 271, 3453])).
% 4.16/3.02 tff(3525,plain,
% 4.16/3.02 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s38, c_n2) | (~node9(s38)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s38, c_n2) | (~node9(s38)))),
% 4.16/3.02 inference(rewrite,[status(thm)],[])).
% 4.16/3.02 tff(3526,plain,
% 4.16/3.02 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s38, c_n2) | (~node9(s38)))),
% 4.16/3.02 inference(quant_inst,[status(thm)],[])).
% 4.16/3.02 tff(3527,plain,
% 4.16/3.02 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s38, c_n2) | (~node9(s38))),
% 4.16/3.02 inference(modus_ponens,[status(thm)],[3526, 3525])).
% 4.16/3.02 tff(3528,plain,
% 4.16/3.02 (~node9(s38)),
% 4.16/3.02 inference(unit_resolution,[status(thm)],[3527, 88, 3453])).
% 4.16/3.02 tff(3529,plain,
% 4.16/3.02 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s38, c_n2) | (~node10(s38)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s38, c_n2) | (~node10(s38)))),
% 4.16/3.02 inference(rewrite,[status(thm)],[])).
% 4.16/3.02 tff(3530,plain,
% 4.16/3.02 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s38, c_n2) | (~node10(s38)))),
% 4.16/3.02 inference(quant_inst,[status(thm)],[])).
% 4.16/3.02 tff(3531,plain,
% 4.16/3.02 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s38, c_n2) | (~node10(s38))),
% 4.16/3.02 inference(modus_ponens,[status(thm)],[3530, 3529])).
% 4.16/3.02 tff(3532,plain,
% 4.16/3.02 (~node10(s38)),
% 4.16/3.02 inference(unit_resolution,[status(thm)],[3531, 249, 3453])).
% 4.16/3.02 tff(3533,plain,
% 4.16/3.02 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s38, c_n1) | (~node11(s38)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s38, c_n1) | (~node11(s38)))),
% 4.16/3.02 inference(rewrite,[status(thm)],[])).
% 4.16/3.02 tff(3534,plain,
% 4.16/3.02 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s38, c_n1) | (~node11(s38)))),
% 4.16/3.02 inference(quant_inst,[status(thm)],[])).
% 4.16/3.02 tff(3535,plain,
% 4.16/3.02 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s38, c_n1) | (~node11(s38))),
% 4.16/3.02 inference(modus_ponens,[status(thm)],[3534, 3533])).
% 4.16/3.02 tff(3536,plain,
% 4.16/3.02 (~node11(s38)),
% 4.16/3.02 inference(unit_resolution,[status(thm)],[3535, 238, 3473])).
% 4.16/3.02 tff(3537,plain,
% 4.16/3.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s38, s39)) | node14(s38, s39))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s38, s39)) | node14(s38, s39))),
% 4.16/3.02 inference(rewrite,[status(thm)],[])).
% 4.16/3.02 tff(3538,plain,
% 4.16/3.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s38, s39)) | node14(s38, s39))),
% 4.16/3.02 inference(quant_inst,[status(thm)],[])).
% 4.16/3.02 tff(3539,plain,
% 4.16/3.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s38, s39)) | node14(s38, s39)),
% 4.16/3.02 inference(modus_ponens,[status(thm)],[3538, 3537])).
% 4.16/3.02 tff(3540,plain,
% 4.16/3.02 (node14(s38, s39)),
% 4.16/3.02 inference(unit_resolution,[status(thm)],[3539, 46, 3484])).
% 4.16/3.02 tff(3541,plain,
% 4.16/3.02 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s38, c_c2) | node9(s38) | node8(s38) | node10(s38) | node11(s38) | node12(s38) | node13(s38, s39) | (~node14(s38, s39)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s38, c_c2) | node9(s38) | node8(s38) | node10(s38) | node11(s38) | node12(s38) | node13(s38, s39) | (~node14(s38, s39)))),
% 4.16/3.02 inference(rewrite,[status(thm)],[])).
% 4.16/3.02 tff(3542,plain,
% 4.16/3.02 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s38, c_c2) | node9(s38) | node8(s38) | node10(s38) | node11(s38) | node12(s38) | node13(s38, s39) | (~node14(s38, s39)))),
% 4.16/3.02 inference(quant_inst,[status(thm)],[])).
% 4.16/3.02 tff(3543,plain,
% 4.16/3.02 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s38, c_c2) | node9(s38) | node8(s38) | node10(s38) | node11(s38) | node12(s38) | node13(s38, s39) | (~node14(s38, s39))),
% 4.16/3.02 inference(modus_ponens,[status(thm)],[3542, 3541])).
% 4.16/3.02 tff(3544,plain,
% 4.16/3.02 (m_main_v_state2(s38, c_c2) | node9(s38) | node8(s38) | node10(s38) | node11(s38) | node12(s38) | node13(s38, s39)),
% 4.16/3.02 inference(unit_resolution,[status(thm)],[3543, 296, 3540])).
% 4.16/3.02 tff(3545,plain,
% 4.16/3.02 (node13(s38, s39)),
% 4.16/3.02 inference(unit_resolution,[status(thm)],[3544, 3536, 3461, 3532, 3528, 3524, 3520])).
% 4.16/3.02 tff(3546,plain,
% 4.16/3.02 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s38, c_t2)) | m_main_v_state2(s39, c_t2) | (~node13(s38, s39)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s38, c_t2)) | m_main_v_state2(s39, c_t2) | (~node13(s38, s39)))),
% 4.16/3.02 inference(rewrite,[status(thm)],[])).
% 4.16/3.02 tff(3547,plain,
% 4.16/3.02 (((~node13(s38, s39)) | (~m_main_v_state2(s38, c_t2)) | m_main_v_state2(s39, c_t2)) <=> ((~m_main_v_state2(s38, c_t2)) | m_main_v_state2(s39, c_t2) | (~node13(s38, s39)))),
% 4.16/3.02 inference(rewrite,[status(thm)],[])).
% 4.16/3.02 tff(3548,plain,
% 4.16/3.02 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s38, s39)) | (~m_main_v_state2(s38, c_t2)) | m_main_v_state2(s39, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s38, c_t2)) | m_main_v_state2(s39, c_t2) | (~node13(s38, s39))))),
% 4.16/3.02 inference(monotonicity,[status(thm)],[3547])).
% 4.16/3.02 tff(3549,plain,
% 4.16/3.02 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s38, s39)) | (~m_main_v_state2(s38, c_t2)) | m_main_v_state2(s39, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s38, c_t2)) | m_main_v_state2(s39, c_t2) | (~node13(s38, s39)))),
% 4.16/3.02 inference(transitivity,[status(thm)],[3548, 3546])).
% 4.16/3.02 tff(3550,plain,
% 4.16/3.02 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s38, s39)) | (~m_main_v_state2(s38, c_t2)) | m_main_v_state2(s39, c_t2))),
% 4.16/3.02 inference(quant_inst,[status(thm)],[])).
% 4.16/3.02 tff(3551,plain,
% 4.16/3.02 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s38, c_t2)) | m_main_v_state2(s39, c_t2) | (~node13(s38, s39))),
% 4.16/3.02 inference(modus_ponens,[status(thm)],[3550, 3549])).
% 4.16/3.02 tff(3552,plain,
% 4.16/3.02 (m_main_v_state2(s39, c_t2)),
% 4.16/3.02 inference(unit_resolution,[status(thm)],[3551, 518, 3449, 3545])).
% 4.16/3.02 tff(3553,plain,
% 4.16/3.02 (succ(s39, s40) <=> succ(s39, s40)),
% 4.16/3.02 inference(rewrite,[status(thm)],[])).
% 4.16/3.02 tff(3554,axiom,(succ(s39, s40)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound40')).
% 4.16/3.02 tff(3555,plain,
% 4.16/3.02 (succ(s39, s40)),
% 4.16/3.02 inference(modus_ponens,[status(thm)],[3554, 3553])).
% 4.16/3.02 tff(3556,plain,
% 4.16/3.02 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s39, s40)) | trans(s39, s40))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s39, s40)) | trans(s39, s40))),
% 4.16/3.02 inference(rewrite,[status(thm)],[])).
% 4.16/3.02 tff(3557,plain,
% 4.16/3.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s39, s40)) | trans(s39, s40))),
% 4.16/3.02 inference(quant_inst,[status(thm)],[])).
% 4.16/3.02 tff(3558,plain,
% 4.16/3.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s39, s40)) | trans(s39, s40)),
% 4.16/3.02 inference(modus_ponens,[status(thm)],[3557, 3556])).
% 4.16/3.02 tff(3559,plain,
% 4.16/3.02 (trans(s39, s40)),
% 4.16/3.02 inference(unit_resolution,[status(thm)],[3558, 3555, 32])).
% 4.16/3.02 tff(3560,plain,
% 4.16/3.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s39, s40)) | node7(s39, s40))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s39, s40)) | node7(s39, s40))),
% 4.16/3.02 inference(rewrite,[status(thm)],[])).
% 4.16/3.02 tff(3561,plain,
% 4.16/3.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s39, s40)) | node7(s39, s40))),
% 4.16/3.02 inference(quant_inst,[status(thm)],[])).
% 4.16/3.02 tff(3562,plain,
% 4.16/3.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s39, s40)) | node7(s39, s40)),
% 4.16/3.02 inference(modus_ponens,[status(thm)],[3561, 3560])).
% 4.16/3.02 tff(3563,plain,
% 4.16/3.02 (node7(s39, s40)),
% 4.16/3.02 inference(unit_resolution,[status(thm)],[3562, 206, 3559])).
% 4.16/3.02 tff(3564,plain,
% 4.16/3.02 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s39, c_n1)) | (~m_main_v_state2(s39, c_t2)) | (~node7(s39, s40)) | m_main_v_state1(s40, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s39, c_n1)) | (~m_main_v_state2(s39, c_t2)) | (~node7(s39, s40)) | m_main_v_state1(s40, c_t1))),
% 4.16/3.02 inference(rewrite,[status(thm)],[])).
% 4.16/3.02 tff(3565,plain,
% 4.16/3.02 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s39, c_n1)) | (~m_main_v_state2(s39, c_t2)) | (~node7(s39, s40)) | m_main_v_state1(s40, c_t1))),
% 4.16/3.02 inference(quant_inst,[status(thm)],[])).
% 4.16/3.02 tff(3566,plain,
% 4.16/3.02 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s39, c_n1)) | (~m_main_v_state2(s39, c_t2)) | (~node7(s39, s40)) | m_main_v_state1(s40, c_t1)),
% 4.16/3.02 inference(modus_ponens,[status(thm)],[3565, 3564])).
% 4.16/3.02 tff(3567,plain,
% 4.16/3.02 ((~m_main_v_state1(s39, c_n1)) | (~m_main_v_state2(s39, c_t2)) | m_main_v_state1(s40, c_t1)),
% 4.16/3.02 inference(unit_resolution,[status(thm)],[3566, 651, 3563])).
% 4.16/3.02 tff(3568,plain,
% 4.16/3.02 (m_main_v_state1(s40, c_t1)),
% 4.16/3.02 inference(unit_resolution,[status(thm)],[3567, 3552, 3496])).
% 4.16/3.02 tff(3569,plain,
% 4.16/3.02 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s40, c_n1)) | (~m_main_v_state1(s40, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s40, c_n1)) | (~m_main_v_state1(s40, c_t1)))),
% 4.16/3.02 inference(rewrite,[status(thm)],[])).
% 4.16/3.02 tff(3570,plain,
% 4.16/3.02 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s40, c_n1)) | (~m_main_v_state1(s40, c_t1)))),
% 4.16/3.02 inference(quant_inst,[status(thm)],[])).
% 4.16/3.02 tff(3571,plain,
% 4.16/3.02 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s40, c_n1)) | (~m_main_v_state1(s40, c_t1))),
% 4.16/3.02 inference(modus_ponens,[status(thm)],[3570, 3569])).
% 4.16/3.02 tff(3572,plain,
% 4.16/3.02 (~m_main_v_state1(s40, c_n1)),
% 4.16/3.02 inference(unit_resolution,[status(thm)],[3571, 10, 3568])).
% 4.16/3.03 tff(3573,plain,
% 4.16/3.03 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s40, c_n1) | (~node1(s40)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s40, c_n1) | (~node1(s40)))),
% 4.16/3.03 inference(rewrite,[status(thm)],[])).
% 4.16/3.03 tff(3574,plain,
% 4.16/3.03 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s40, c_n1) | (~node1(s40)))),
% 4.16/3.03 inference(quant_inst,[status(thm)],[])).
% 4.16/3.03 tff(3575,plain,
% 4.16/3.03 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s40, c_n1) | (~node1(s40))),
% 4.16/3.03 inference(modus_ponens,[status(thm)],[3574, 3573])).
% 4.16/3.03 tff(3576,plain,
% 4.16/3.03 (~node1(s40)),
% 4.16/3.03 inference(unit_resolution,[status(thm)],[3575, 421, 3572])).
% 4.16/3.03 tff(3577,plain,
% 4.16/3.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s39, s40)) | node18(s39, s40))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s39, s40)) | node18(s39, s40))),
% 4.16/3.03 inference(rewrite,[status(thm)],[])).
% 4.16/3.03 tff(3578,plain,
% 4.16/3.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s39, s40)) | node18(s39, s40))),
% 4.16/3.03 inference(quant_inst,[status(thm)],[])).
% 4.16/3.03 tff(3579,plain,
% 4.16/3.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s39, s40)) | node18(s39, s40)),
% 4.16/3.03 inference(modus_ponens,[status(thm)],[3578, 3577])).
% 4.16/3.03 tff(3580,plain,
% 4.16/3.03 (node18(s39, s40)),
% 4.16/3.03 inference(unit_resolution,[status(thm)],[3579, 125, 3559])).
% 4.16/3.03 tff(3581,plain,
% 4.16/3.03 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s39, c_n1)) | (~m_main_v_state2(s39, c_t2)) | (~node18(s39, s40)) | m_main_v_turn(s40, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s39, c_n1)) | (~m_main_v_state2(s39, c_t2)) | (~node18(s39, s40)) | m_main_v_turn(s40, c_2))),
% 4.16/3.03 inference(rewrite,[status(thm)],[])).
% 4.16/3.03 tff(3582,plain,
% 4.16/3.03 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s39, c_n1)) | (~m_main_v_state2(s39, c_t2)) | (~node18(s39, s40)) | m_main_v_turn(s40, c_2))),
% 4.16/3.03 inference(quant_inst,[status(thm)],[])).
% 4.16/3.03 tff(3583,plain,
% 4.16/3.03 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s39, c_n1)) | (~m_main_v_state2(s39, c_t2)) | (~node18(s39, s40)) | m_main_v_turn(s40, c_2)),
% 4.16/3.03 inference(modus_ponens,[status(thm)],[3582, 3581])).
% 4.16/3.03 tff(3584,plain,
% 4.16/3.03 ((~m_main_v_state1(s39, c_n1)) | (~m_main_v_state2(s39, c_t2)) | m_main_v_turn(s40, c_2)),
% 4.16/3.03 inference(unit_resolution,[status(thm)],[3583, 760, 3580])).
% 4.16/3.03 tff(3585,plain,
% 4.16/3.03 (m_main_v_turn(s40, c_2)),
% 4.16/3.03 inference(unit_resolution,[status(thm)],[3584, 3552, 3496])).
% 4.16/3.03 tff(3586,plain,
% 4.16/3.03 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s40, c_1)) | (~m_main_v_turn(s40, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s40, c_1)) | (~m_main_v_turn(s40, c_2)))),
% 4.16/3.03 inference(rewrite,[status(thm)],[])).
% 4.16/3.03 tff(3587,plain,
% 4.16/3.03 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s40, c_1)) | (~m_main_v_turn(s40, c_2)))),
% 4.16/3.03 inference(quant_inst,[status(thm)],[])).
% 4.16/3.03 tff(3588,plain,
% 4.16/3.03 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s40, c_1)) | (~m_main_v_turn(s40, c_2))),
% 4.16/3.03 inference(modus_ponens,[status(thm)],[3587, 3586])).
% 4.16/3.03 tff(3589,plain,
% 4.16/3.03 (~m_main_v_turn(s40, c_1)),
% 4.16/3.03 inference(unit_resolution,[status(thm)],[3588, 156, 3585])).
% 4.16/3.03 tff(3590,plain,
% 4.16/3.03 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s40, c_1) | (~node5(s40)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s40, c_1) | (~node5(s40)))),
% 4.16/3.03 inference(rewrite,[status(thm)],[])).
% 4.16/3.03 tff(3591,plain,
% 4.16/3.03 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s40, c_1) | (~node5(s40)))),
% 4.16/3.03 inference(quant_inst,[status(thm)],[])).
% 4.16/3.03 tff(3592,plain,
% 4.16/3.03 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s40, c_1) | (~node5(s40))),
% 4.16/3.03 inference(modus_ponens,[status(thm)],[3591, 3590])).
% 4.16/3.03 tff(3593,plain,
% 4.16/3.03 (~node5(s40)),
% 4.16/3.03 inference(unit_resolution,[status(thm)],[3592, 776, 3589])).
% 4.16/3.03 tff(3594,plain,
% 4.16/3.03 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s40, c_n1) | (~node2(s40)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s40, c_n1) | (~node2(s40)))),
% 4.16/3.03 inference(rewrite,[status(thm)],[])).
% 4.16/3.03 tff(3595,plain,
% 4.16/3.03 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s40, c_n1) | (~node2(s40)))),
% 4.16/3.03 inference(quant_inst,[status(thm)],[])).
% 4.16/3.03 tff(3596,plain,
% 4.16/3.03 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s40, c_n1) | (~node2(s40))),
% 4.16/3.03 inference(modus_ponens,[status(thm)],[3595, 3594])).
% 4.16/3.03 tff(3597,plain,
% 4.16/3.03 (~node2(s40)),
% 4.16/3.03 inference(unit_resolution,[status(thm)],[3596, 787, 3572])).
% 4.16/3.03 tff(3598,plain,
% 4.16/3.03 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s40, c_n1) | (~node3(s40)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s40, c_n1) | (~node3(s40)))),
% 4.16/3.03 inference(rewrite,[status(thm)],[])).
% 4.16/3.03 tff(3599,plain,
% 4.16/3.03 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s40, c_n1) | (~node3(s40)))),
% 4.16/3.03 inference(quant_inst,[status(thm)],[])).
% 4.16/3.03 tff(3600,plain,
% 4.16/3.03 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s40, c_n1) | (~node3(s40))),
% 4.16/3.03 inference(modus_ponens,[status(thm)],[3599, 3598])).
% 4.16/3.03 tff(3601,plain,
% 4.16/3.03 (~node3(s40)),
% 4.16/3.03 inference(unit_resolution,[status(thm)],[3600, 798, 3572])).
% 4.16/3.03 tff(3602,plain,
% 4.16/3.03 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s40, c_t1)) | (~m_main_v_state1(s40, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s40, c_t1)) | (~m_main_v_state1(s40, c_c1)))),
% 4.16/3.03 inference(rewrite,[status(thm)],[])).
% 4.16/3.03 tff(3603,plain,
% 4.16/3.03 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s40, c_t1)) | (~m_main_v_state1(s40, c_c1)))),
% 4.16/3.03 inference(quant_inst,[status(thm)],[])).
% 4.16/3.03 tff(3604,plain,
% 4.16/3.03 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s40, c_t1)) | (~m_main_v_state1(s40, c_c1))),
% 4.16/3.03 inference(modus_ponens,[status(thm)],[3603, 3602])).
% 4.16/3.03 tff(3605,plain,
% 4.16/3.03 (~m_main_v_state1(s40, c_c1)),
% 4.16/3.03 inference(unit_resolution,[status(thm)],[3604, 539, 3568])).
% 4.16/3.03 tff(3606,plain,
% 4.16/3.03 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s38, c_n2) | (~m_main_v_state2(s39, c_n2)) | (~node13(s38, s39)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s38, c_n2) | (~m_main_v_state2(s39, c_n2)) | (~node13(s38, s39)))),
% 4.16/3.03 inference(rewrite,[status(thm)],[])).
% 4.16/3.03 tff(3607,plain,
% 4.16/3.03 (((~node13(s38, s39)) | m_main_v_state2(s38, c_n2) | (~m_main_v_state2(s39, c_n2))) <=> (m_main_v_state2(s38, c_n2) | (~m_main_v_state2(s39, c_n2)) | (~node13(s38, s39)))),
% 4.16/3.03 inference(rewrite,[status(thm)],[])).
% 4.16/3.03 tff(3608,plain,
% 4.16/3.03 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s38, s39)) | m_main_v_state2(s38, c_n2) | (~m_main_v_state2(s39, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s38, c_n2) | (~m_main_v_state2(s39, c_n2)) | (~node13(s38, s39))))),
% 4.16/3.03 inference(monotonicity,[status(thm)],[3607])).
% 4.16/3.03 tff(3609,plain,
% 4.16/3.03 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s38, s39)) | m_main_v_state2(s38, c_n2) | (~m_main_v_state2(s39, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s38, c_n2) | (~m_main_v_state2(s39, c_n2)) | (~node13(s38, s39)))),
% 4.16/3.03 inference(transitivity,[status(thm)],[3608, 3606])).
% 4.16/3.03 tff(3610,plain,
% 4.16/3.03 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s38, s39)) | m_main_v_state2(s38, c_n2) | (~m_main_v_state2(s39, c_n2)))),
% 4.16/3.03 inference(quant_inst,[status(thm)],[])).
% 4.16/3.03 tff(3611,plain,
% 4.16/3.03 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s38, c_n2) | (~m_main_v_state2(s39, c_n2)) | (~node13(s38, s39))),
% 4.16/3.03 inference(modus_ponens,[status(thm)],[3610, 3609])).
% 4.16/3.03 tff(3612,plain,
% 4.16/3.03 (~m_main_v_state2(s39, c_n2)),
% 4.16/3.03 inference(unit_resolution,[status(thm)],[3611, 311, 3453, 3545])).
% 4.16/3.03 tff(3613,plain,
% 4.16/3.03 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s39, c_n2) | (~node9(s39)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s39, c_n2) | (~node9(s39)))),
% 4.16/3.03 inference(rewrite,[status(thm)],[])).
% 4.16/3.03 tff(3614,plain,
% 4.16/3.03 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s39, c_n2) | (~node9(s39)))),
% 4.16/3.03 inference(quant_inst,[status(thm)],[])).
% 4.16/3.03 tff(3615,plain,
% 4.16/3.03 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s39, c_n2) | (~node9(s39))),
% 4.16/3.03 inference(modus_ponens,[status(thm)],[3614, 3613])).
% 4.16/3.03 tff(3616,plain,
% 4.16/3.03 (~node9(s39)),
% 4.16/3.03 inference(unit_resolution,[status(thm)],[3615, 88, 3612])).
% 4.16/3.03 tff(3617,plain,
% 4.16/3.03 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s39, c_n2) | (~node10(s39)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s39, c_n2) | (~node10(s39)))),
% 4.16/3.03 inference(rewrite,[status(thm)],[])).
% 4.16/3.03 tff(3618,plain,
% 4.16/3.03 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s39, c_n2) | (~node10(s39)))),
% 4.16/3.03 inference(quant_inst,[status(thm)],[])).
% 4.16/3.03 tff(3619,plain,
% 4.16/3.03 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s39, c_n2) | (~node10(s39))),
% 4.16/3.03 inference(modus_ponens,[status(thm)],[3618, 3617])).
% 4.16/3.03 tff(3620,plain,
% 4.16/3.03 (~node10(s39)),
% 4.16/3.03 inference(unit_resolution,[status(thm)],[3619, 249, 3612])).
% 4.16/3.03 tff(3621,plain,
% 4.16/3.03 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s39, c_n2) | (~node8(s39)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s39, c_n2) | (~node8(s39)))),
% 4.16/3.03 inference(rewrite,[status(thm)],[])).
% 4.16/3.03 tff(3622,plain,
% 4.16/3.03 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s39, c_n2) | (~node8(s39)))),
% 4.16/3.03 inference(quant_inst,[status(thm)],[])).
% 4.16/3.03 tff(3623,plain,
% 4.16/3.03 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s39, c_n2) | (~node8(s39))),
% 4.16/3.03 inference(modus_ponens,[status(thm)],[3622, 3621])).
% 4.16/3.03 tff(3624,plain,
% 4.16/3.03 (~node8(s39)),
% 4.16/3.03 inference(unit_resolution,[status(thm)],[3623, 271, 3612])).
% 4.16/3.03 tff(3625,plain,
% 4.16/3.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s39, s40)) | node14(s39, s40))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s39, s40)) | node14(s39, s40))),
% 4.16/3.03 inference(rewrite,[status(thm)],[])).
% 4.16/3.03 tff(3626,plain,
% 4.16/3.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s39, s40)) | node14(s39, s40))),
% 4.16/3.03 inference(quant_inst,[status(thm)],[])).
% 4.16/3.03 tff(3627,plain,
% 4.16/3.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s39, s40)) | node14(s39, s40)),
% 4.16/3.03 inference(modus_ponens,[status(thm)],[3626, 3625])).
% 4.16/3.03 tff(3628,plain,
% 4.16/3.03 (node14(s39, s40)),
% 4.16/3.03 inference(unit_resolution,[status(thm)],[3627, 46, 3559])).
% 4.16/3.03 tff(3629,plain,
% 4.16/3.03 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s39, c_n1)) | (~m_main_v_state2(s39, c_t2)) | node9(s39) | node8(s39) | node10(s39) | (~node14(s39, s40)) | m_main_v_state2(s40, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s39, c_n1)) | (~m_main_v_state2(s39, c_t2)) | node9(s39) | node8(s39) | node10(s39) | (~node14(s39, s40)) | m_main_v_state2(s40, c_c2))),
% 4.16/3.03 inference(rewrite,[status(thm)],[])).
% 4.16/3.03 tff(3630,plain,
% 4.16/3.03 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s39, c_n1)) | (~m_main_v_state2(s39, c_t2)) | node9(s39) | node8(s39) | node10(s39) | (~node14(s39, s40)) | m_main_v_state2(s40, c_c2))),
% 4.16/3.03 inference(quant_inst,[status(thm)],[])).
% 4.16/3.03 tff(3631,plain,
% 4.16/3.03 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s39, c_n1)) | (~m_main_v_state2(s39, c_t2)) | node9(s39) | node8(s39) | node10(s39) | (~node14(s39, s40)) | m_main_v_state2(s40, c_c2)),
% 4.16/3.03 inference(modus_ponens,[status(thm)],[3630, 3629])).
% 4.16/3.03 tff(3632,plain,
% 4.16/3.03 ((~m_main_v_state1(s39, c_n1)) | (~m_main_v_state2(s39, c_t2)) | node9(s39) | node8(s39) | node10(s39) | m_main_v_state2(s40, c_c2)),
% 4.16/3.03 inference(unit_resolution,[status(thm)],[3631, 617, 3628])).
% 4.16/3.03 tff(3633,plain,
% 4.16/3.03 (m_main_v_state2(s40, c_c2)),
% 4.16/3.03 inference(unit_resolution,[status(thm)],[3632, 3624, 3496, 3552, 3620, 3616])).
% 4.16/3.03 tff(3634,plain,
% 4.16/3.03 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s40, c_n2)) | (~m_main_v_state2(s40, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s40, c_n2)) | (~m_main_v_state2(s40, c_c2)))),
% 4.16/3.03 inference(rewrite,[status(thm)],[])).
% 4.16/3.03 tff(3635,plain,
% 4.16/3.03 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s40, c_n2)) | (~m_main_v_state2(s40, c_c2)))),
% 4.16/3.03 inference(quant_inst,[status(thm)],[])).
% 4.16/3.03 tff(3636,plain,
% 4.16/3.03 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s40, c_n2)) | (~m_main_v_state2(s40, c_c2))),
% 4.16/3.03 inference(modus_ponens,[status(thm)],[3635, 3634])).
% 4.16/3.03 tff(3637,plain,
% 4.16/3.03 (~m_main_v_state2(s40, c_n2)),
% 4.16/3.03 inference(unit_resolution,[status(thm)],[3636, 697, 3633])).
% 4.16/3.03 tff(3638,plain,
% 4.16/3.03 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s40, c_n2) | (~node4(s40)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s40, c_n2) | (~node4(s40)))),
% 4.16/3.03 inference(rewrite,[status(thm)],[])).
% 4.16/3.03 tff(3639,plain,
% 4.16/3.03 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s40, c_n2) | (~node4(s40)))),
% 4.16/3.03 inference(quant_inst,[status(thm)],[])).
% 4.16/3.03 tff(3640,plain,
% 4.16/3.03 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s40, c_n2) | (~node4(s40))),
% 4.16/3.03 inference(modus_ponens,[status(thm)],[3639, 3638])).
% 4.16/3.03 tff(3641,plain,
% 4.16/3.03 (~node4(s40)),
% 4.16/3.03 inference(unit_resolution,[status(thm)],[3640, 388, 3637])).
% 4.16/3.03 tff(3642,plain,
% 4.16/3.03 (succ(s40, s41) <=> succ(s40, s41)),
% 4.16/3.03 inference(rewrite,[status(thm)],[])).
% 4.16/3.03 tff(3643,axiom,(succ(s40, s41)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound41')).
% 4.16/3.03 tff(3644,plain,
% 4.16/3.03 (succ(s40, s41)),
% 4.16/3.03 inference(modus_ponens,[status(thm)],[3643, 3642])).
% 4.16/3.03 tff(3645,plain,
% 4.16/3.03 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s40, s41)) | trans(s40, s41))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s40, s41)) | trans(s40, s41))),
% 4.16/3.03 inference(rewrite,[status(thm)],[])).
% 4.16/3.03 tff(3646,plain,
% 4.16/3.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s40, s41)) | trans(s40, s41))),
% 4.16/3.03 inference(quant_inst,[status(thm)],[])).
% 4.16/3.03 tff(3647,plain,
% 4.16/3.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s40, s41)) | trans(s40, s41)),
% 4.16/3.03 inference(modus_ponens,[status(thm)],[3646, 3645])).
% 4.16/3.03 tff(3648,plain,
% 4.16/3.03 (trans(s40, s41)),
% 4.16/3.03 inference(unit_resolution,[status(thm)],[3647, 3644, 32])).
% 4.16/3.03 tff(3649,plain,
% 4.16/3.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s40, s41)) | node7(s40, s41))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s40, s41)) | node7(s40, s41))),
% 4.16/3.03 inference(rewrite,[status(thm)],[])).
% 4.16/3.03 tff(3650,plain,
% 4.16/3.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s40, s41)) | node7(s40, s41))),
% 4.16/3.03 inference(quant_inst,[status(thm)],[])).
% 4.16/3.03 tff(3651,plain,
% 4.16/3.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s40, s41)) | node7(s40, s41)),
% 4.16/3.03 inference(modus_ponens,[status(thm)],[3650, 3649])).
% 4.16/3.03 tff(3652,plain,
% 4.16/3.03 (node7(s40, s41)),
% 4.16/3.03 inference(unit_resolution,[status(thm)],[3651, 206, 3648])).
% 4.16/3.03 tff(3653,plain,
% 4.16/3.03 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s40, c_c1) | node1(s40) | node2(s40) | node3(s40) | node4(s40) | node5(s40) | node6(s40, s41) | (~node7(s40, s41)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s40, c_c1) | node1(s40) | node2(s40) | node3(s40) | node4(s40) | node5(s40) | node6(s40, s41) | (~node7(s40, s41)))),
% 4.16/3.03 inference(rewrite,[status(thm)],[])).
% 4.16/3.03 tff(3654,plain,
% 4.16/3.03 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s40, c_c1) | node1(s40) | node2(s40) | node3(s40) | node4(s40) | node5(s40) | node6(s40, s41) | (~node7(s40, s41)))),
% 4.16/3.03 inference(quant_inst,[status(thm)],[])).
% 4.16/3.03 tff(3655,plain,
% 4.16/3.03 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s40, c_c1) | node1(s40) | node2(s40) | node3(s40) | node4(s40) | node5(s40) | node6(s40, s41) | (~node7(s40, s41))),
% 4.16/3.03 inference(modus_ponens,[status(thm)],[3654, 3653])).
% 4.16/3.03 tff(3656,plain,
% 4.16/3.03 (m_main_v_state1(s40, c_c1) | node1(s40) | node2(s40) | node3(s40) | node4(s40) | node5(s40) | node6(s40, s41)),
% 4.16/3.03 inference(unit_resolution,[status(thm)],[3655, 820, 3652])).
% 4.16/3.03 tff(3657,plain,
% 4.16/3.03 (node6(s40, s41)),
% 4.16/3.03 inference(unit_resolution,[status(thm)],[3656, 3641, 3605, 3601, 3597, 3593, 3576])).
% 4.16/3.03 tff(3658,plain,
% 4.16/3.03 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s40, c_t1)) | m_main_v_state1(s41, c_t1) | (~node6(s40, s41)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s40, c_t1)) | m_main_v_state1(s41, c_t1) | (~node6(s40, s41)))),
% 4.16/3.03 inference(rewrite,[status(thm)],[])).
% 4.16/3.03 tff(3659,plain,
% 4.16/3.03 (((~node6(s40, s41)) | (~m_main_v_state1(s40, c_t1)) | m_main_v_state1(s41, c_t1)) <=> ((~m_main_v_state1(s40, c_t1)) | m_main_v_state1(s41, c_t1) | (~node6(s40, s41)))),
% 4.16/3.03 inference(rewrite,[status(thm)],[])).
% 4.16/3.03 tff(3660,plain,
% 4.16/3.03 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s40, s41)) | (~m_main_v_state1(s40, c_t1)) | m_main_v_state1(s41, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s40, c_t1)) | m_main_v_state1(s41, c_t1) | (~node6(s40, s41))))),
% 4.16/3.03 inference(monotonicity,[status(thm)],[3659])).
% 4.16/3.03 tff(3661,plain,
% 4.16/3.03 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s40, s41)) | (~m_main_v_state1(s40, c_t1)) | m_main_v_state1(s41, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s40, c_t1)) | m_main_v_state1(s41, c_t1) | (~node6(s40, s41)))),
% 4.16/3.03 inference(transitivity,[status(thm)],[3660, 3658])).
% 4.16/3.03 tff(3662,plain,
% 4.16/3.03 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s40, s41)) | (~m_main_v_state1(s40, c_t1)) | m_main_v_state1(s41, c_t1))),
% 4.16/3.03 inference(quant_inst,[status(thm)],[])).
% 4.16/3.03 tff(3663,plain,
% 4.16/3.03 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s40, c_t1)) | m_main_v_state1(s41, c_t1) | (~node6(s40, s41))),
% 4.16/3.03 inference(modus_ponens,[status(thm)],[3662, 3661])).
% 4.16/3.03 tff(3664,plain,
% 4.16/3.03 (m_main_v_state1(s41, c_t1)),
% 4.16/3.03 inference(unit_resolution,[status(thm)],[3663, 856, 3568, 3657])).
% 4.16/3.03 tff(3665,plain,
% 4.16/3.03 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s40, c_t2)) | (~m_main_v_state2(s40, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s40, c_t2)) | (~m_main_v_state2(s40, c_c2)))),
% 4.16/3.03 inference(rewrite,[status(thm)],[])).
% 4.16/3.03 tff(3666,plain,
% 4.16/3.03 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s40, c_t2)) | (~m_main_v_state2(s40, c_c2)))),
% 4.16/3.03 inference(quant_inst,[status(thm)],[])).
% 4.16/3.03 tff(3667,plain,
% 4.16/3.03 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s40, c_t2)) | (~m_main_v_state2(s40, c_c2))),
% 4.16/3.03 inference(modus_ponens,[status(thm)],[3666, 3665])).
% 4.16/3.03 tff(3668,plain,
% 4.16/3.03 (~m_main_v_state2(s40, c_t2)),
% 4.16/3.03 inference(unit_resolution,[status(thm)],[3667, 260, 3633])).
% 4.16/3.03 tff(3669,plain,
% 4.16/3.03 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s40, c_t2) | (~node12(s40)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s40, c_t2) | (~node12(s40)))),
% 4.16/3.03 inference(rewrite,[status(thm)],[])).
% 4.16/3.03 tff(3670,plain,
% 4.16/3.03 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s40, c_t2) | (~node12(s40)))),
% 4.16/3.03 inference(quant_inst,[status(thm)],[])).
% 4.16/3.03 tff(3671,plain,
% 4.16/3.03 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s40, c_t2) | (~node12(s40))),
% 4.16/3.03 inference(modus_ponens,[status(thm)],[3670, 3669])).
% 4.16/3.03 tff(3672,plain,
% 4.16/3.03 (~node12(s40)),
% 4.16/3.03 inference(unit_resolution,[status(thm)],[3671, 633, 3668])).
% 4.16/3.03 tff(3673,plain,
% 4.16/3.03 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s40, c_n1) | (~node11(s40)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s40, c_n1) | (~node11(s40)))),
% 4.16/3.03 inference(rewrite,[status(thm)],[])).
% 4.16/3.03 tff(3674,plain,
% 4.16/3.03 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s40, c_n1) | (~node11(s40)))),
% 4.16/3.03 inference(quant_inst,[status(thm)],[])).
% 4.16/3.03 tff(3675,plain,
% 4.16/3.03 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s40, c_n1) | (~node11(s40))),
% 4.16/3.03 inference(modus_ponens,[status(thm)],[3674, 3673])).
% 4.16/3.03 tff(3676,plain,
% 4.16/3.03 (~node11(s40)),
% 4.16/3.03 inference(unit_resolution,[status(thm)],[3675, 238, 3572])).
% 4.16/3.03 tff(3677,plain,
% 4.16/3.03 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s40, c_c1) | (~node10(s40)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s40, c_c1) | (~node10(s40)))),
% 4.16/3.03 inference(rewrite,[status(thm)],[])).
% 4.16/3.03 tff(3678,plain,
% 4.16/3.03 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s40, c_c1) | (~node10(s40)))),
% 4.16/3.03 inference(quant_inst,[status(thm)],[])).
% 4.16/3.03 tff(3679,plain,
% 4.16/3.03 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s40, c_c1) | (~node10(s40))),
% 4.16/3.03 inference(modus_ponens,[status(thm)],[3678, 3677])).
% 4.16/3.03 tff(3680,plain,
% 4.16/3.03 (~node10(s40)),
% 4.16/3.03 inference(unit_resolution,[status(thm)],[3679, 675, 3605])).
% 4.16/3.03 tff(3681,plain,
% 4.16/3.03 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s40, c_n1) | (~node9(s40)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s40, c_n1) | (~node9(s40)))),
% 4.16/3.03 inference(rewrite,[status(thm)],[])).
% 4.16/3.03 tff(3682,plain,
% 4.16/3.03 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s40, c_n1) | (~node9(s40)))),
% 4.16/3.03 inference(quant_inst,[status(thm)],[])).
% 4.16/3.03 tff(3683,plain,
% 4.16/3.03 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s40, c_n1) | (~node9(s40))),
% 4.16/3.03 inference(modus_ponens,[status(thm)],[3682, 3681])).
% 4.16/3.03 tff(3684,plain,
% 4.16/3.03 (~node9(s40)),
% 4.16/3.03 inference(unit_resolution,[status(thm)],[3683, 686, 3572])).
% 4.16/3.03 tff(3685,plain,
% 4.16/3.03 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s40, c_n2) | (~node8(s40)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s40, c_n2) | (~node8(s40)))),
% 4.16/3.03 inference(rewrite,[status(thm)],[])).
% 4.16/3.03 tff(3686,plain,
% 4.16/3.03 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s40, c_n2) | (~node8(s40)))),
% 4.16/3.03 inference(quant_inst,[status(thm)],[])).
% 4.16/3.03 tff(3687,plain,
% 4.16/3.03 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s40, c_n2) | (~node8(s40))),
% 4.16/3.03 inference(modus_ponens,[status(thm)],[3686, 3685])).
% 4.16/3.03 tff(3688,plain,
% 4.16/3.03 (~node8(s40)),
% 4.16/3.03 inference(unit_resolution,[status(thm)],[3687, 271, 3637])).
% 4.16/3.03 tff(3689,plain,
% 4.16/3.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s40, s41)) | node14(s40, s41))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s40, s41)) | node14(s40, s41))),
% 4.16/3.03 inference(rewrite,[status(thm)],[])).
% 4.16/3.03 tff(3690,plain,
% 4.16/3.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s40, s41)) | node14(s40, s41))),
% 4.16/3.03 inference(quant_inst,[status(thm)],[])).
% 4.16/3.03 tff(3691,plain,
% 4.16/3.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s40, s41)) | node14(s40, s41)),
% 4.16/3.03 inference(modus_ponens,[status(thm)],[3690, 3689])).
% 4.16/3.03 tff(3692,plain,
% 4.16/3.03 (node14(s40, s41)),
% 4.16/3.03 inference(unit_resolution,[status(thm)],[3691, 46, 3648])).
% 4.16/3.03 tff(3693,plain,
% 4.16/3.03 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s41, c_n2) | node9(s40) | node8(s40) | node10(s40) | node11(s40) | node12(s40) | (~node14(s40, s41)) | (~m_main_v_state2(s40, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s41, c_n2) | node9(s40) | node8(s40) | node10(s40) | node11(s40) | node12(s40) | (~node14(s40, s41)) | (~m_main_v_state2(s40, c_c2)))),
% 4.16/3.03 inference(rewrite,[status(thm)],[])).
% 4.16/3.03 tff(3694,plain,
% 4.16/3.03 (((~m_main_v_state2(s40, c_c2)) | node9(s40) | node8(s40) | node10(s40) | node11(s40) | node12(s40) | (~node14(s40, s41)) | m_main_v_state2(s41, c_n2)) <=> (m_main_v_state2(s41, c_n2) | node9(s40) | node8(s40) | node10(s40) | node11(s40) | node12(s40) | (~node14(s40, s41)) | (~m_main_v_state2(s40, c_c2)))),
% 4.16/3.03 inference(rewrite,[status(thm)],[])).
% 4.16/3.03 tff(3695,plain,
% 4.16/3.03 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s40, c_c2)) | node9(s40) | node8(s40) | node10(s40) | node11(s40) | node12(s40) | (~node14(s40, s41)) | m_main_v_state2(s41, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s41, c_n2) | node9(s40) | node8(s40) | node10(s40) | node11(s40) | node12(s40) | (~node14(s40, s41)) | (~m_main_v_state2(s40, c_c2))))),
% 4.16/3.04 inference(monotonicity,[status(thm)],[3694])).
% 4.16/3.04 tff(3696,plain,
% 4.16/3.04 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s40, c_c2)) | node9(s40) | node8(s40) | node10(s40) | node11(s40) | node12(s40) | (~node14(s40, s41)) | m_main_v_state2(s41, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s41, c_n2) | node9(s40) | node8(s40) | node10(s40) | node11(s40) | node12(s40) | (~node14(s40, s41)) | (~m_main_v_state2(s40, c_c2)))),
% 4.16/3.04 inference(transitivity,[status(thm)],[3695, 3693])).
% 4.16/3.04 tff(3697,plain,
% 4.16/3.04 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s40, c_c2)) | node9(s40) | node8(s40) | node10(s40) | node11(s40) | node12(s40) | (~node14(s40, s41)) | m_main_v_state2(s41, c_n2))),
% 4.16/3.04 inference(quant_inst,[status(thm)],[])).
% 4.16/3.04 tff(3698,plain,
% 4.16/3.04 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s41, c_n2) | node9(s40) | node8(s40) | node10(s40) | node11(s40) | node12(s40) | (~node14(s40, s41)) | (~m_main_v_state2(s40, c_c2))),
% 4.16/3.04 inference(modus_ponens,[status(thm)],[3697, 3696])).
% 4.16/3.04 tff(3699,plain,
% 4.16/3.04 (m_main_v_state2(s41, c_n2) | node9(s40) | node8(s40) | node10(s40) | node11(s40) | node12(s40) | (~m_main_v_state2(s40, c_c2))),
% 4.16/3.04 inference(unit_resolution,[status(thm)],[3698, 726, 3692])).
% 4.16/3.04 tff(3700,plain,
% 4.16/3.04 (m_main_v_state2(s41, c_n2)),
% 4.16/3.04 inference(unit_resolution,[status(thm)],[3699, 3688, 3633, 3684, 3680, 3676, 3672])).
% 4.16/3.04 tff(3701,plain,
% 4.16/3.04 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s41, c_n2)) | (~m_main_v_state2(s41, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s41, c_n2)) | (~m_main_v_state2(s41, c_t2)))),
% 4.16/3.04 inference(rewrite,[status(thm)],[])).
% 4.16/3.04 tff(3702,plain,
% 4.16/3.04 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s41, c_n2)) | (~m_main_v_state2(s41, c_t2)))),
% 4.16/3.04 inference(quant_inst,[status(thm)],[])).
% 4.16/3.04 tff(3703,plain,
% 4.16/3.04 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s41, c_n2)) | (~m_main_v_state2(s41, c_t2))),
% 4.16/3.04 inference(modus_ponens,[status(thm)],[3702, 3701])).
% 4.16/3.04 tff(3704,plain,
% 4.16/3.04 (~m_main_v_state2(s41, c_t2)),
% 4.16/3.04 inference(unit_resolution,[status(thm)],[3703, 77, 3700])).
% 4.16/3.04 tff(3705,plain,
% 4.16/3.04 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s41, c_t2) | (~node15(s41)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s41, c_t2) | (~node15(s41)))),
% 4.16/3.04 inference(rewrite,[status(thm)],[])).
% 4.16/3.04 tff(3706,plain,
% 4.16/3.04 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s41, c_t2) | (~node15(s41)))),
% 4.16/3.04 inference(quant_inst,[status(thm)],[])).
% 4.16/3.04 tff(3707,plain,
% 4.16/3.04 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s41, c_t2) | (~node15(s41))),
% 4.16/3.04 inference(modus_ponens,[status(thm)],[3706, 3705])).
% 4.16/3.04 tff(3708,plain,
% 4.16/3.04 (~node15(s41)),
% 4.16/3.04 inference(unit_resolution,[status(thm)],[3707, 103, 3704])).
% 4.16/3.04 tff(3709,plain,
% 4.16/3.04 (succ(s41, s42) <=> succ(s41, s42)),
% 4.16/3.04 inference(rewrite,[status(thm)],[])).
% 4.16/3.04 tff(3710,axiom,(succ(s41, s42)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound42')).
% 4.16/3.04 tff(3711,plain,
% 4.16/3.04 (succ(s41, s42)),
% 4.16/3.04 inference(modus_ponens,[status(thm)],[3710, 3709])).
% 4.16/3.04 tff(3712,plain,
% 4.16/3.04 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s41, s42)) | trans(s41, s42))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s41, s42)) | trans(s41, s42))),
% 4.16/3.04 inference(rewrite,[status(thm)],[])).
% 4.16/3.04 tff(3713,plain,
% 4.16/3.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s41, s42)) | trans(s41, s42))),
% 4.16/3.04 inference(quant_inst,[status(thm)],[])).
% 4.16/3.04 tff(3714,plain,
% 4.16/3.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s41, s42)) | trans(s41, s42)),
% 4.16/3.04 inference(modus_ponens,[status(thm)],[3713, 3712])).
% 4.16/3.04 tff(3715,plain,
% 4.16/3.04 (trans(s41, s42)),
% 4.16/3.04 inference(unit_resolution,[status(thm)],[3714, 3711, 32])).
% 4.16/3.04 tff(3716,plain,
% 4.16/3.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s41, s42)) | node18(s41, s42))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s41, s42)) | node18(s41, s42))),
% 4.16/3.04 inference(rewrite,[status(thm)],[])).
% 4.16/3.04 tff(3717,plain,
% 4.16/3.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s41, s42)) | node18(s41, s42))),
% 4.16/3.04 inference(quant_inst,[status(thm)],[])).
% 4.16/3.04 tff(3718,plain,
% 4.16/3.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s41, s42)) | node18(s41, s42)),
% 4.16/3.04 inference(modus_ponens,[status(thm)],[3717, 3716])).
% 4.16/3.04 tff(3719,plain,
% 4.16/3.04 (node18(s41, s42)),
% 4.16/3.04 inference(unit_resolution,[status(thm)],[3718, 125, 3715])).
% 4.16/3.04 tff(3720,plain,
% 4.16/3.04 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s41) | (~node18(s41, s42)) | (~m_main_v_state1(s41, c_t1)) | (~m_main_v_state2(s41, c_n2)) | m_main_v_turn(s42, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s41) | (~node18(s41, s42)) | (~m_main_v_state1(s41, c_t1)) | (~m_main_v_state2(s41, c_n2)) | m_main_v_turn(s42, c_1))),
% 4.16/3.04 inference(rewrite,[status(thm)],[])).
% 4.16/3.04 tff(3721,plain,
% 4.16/3.04 (((~m_main_v_state1(s41, c_t1)) | (~m_main_v_state2(s41, c_n2)) | node15(s41) | (~node18(s41, s42)) | m_main_v_turn(s42, c_1)) <=> (node15(s41) | (~node18(s41, s42)) | (~m_main_v_state1(s41, c_t1)) | (~m_main_v_state2(s41, c_n2)) | m_main_v_turn(s42, c_1))),
% 4.16/3.04 inference(rewrite,[status(thm)],[])).
% 4.16/3.04 tff(3722,plain,
% 4.16/3.04 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s41, c_t1)) | (~m_main_v_state2(s41, c_n2)) | node15(s41) | (~node18(s41, s42)) | m_main_v_turn(s42, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s41) | (~node18(s41, s42)) | (~m_main_v_state1(s41, c_t1)) | (~m_main_v_state2(s41, c_n2)) | m_main_v_turn(s42, c_1)))),
% 4.16/3.04 inference(monotonicity,[status(thm)],[3721])).
% 4.16/3.04 tff(3723,plain,
% 4.16/3.04 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s41, c_t1)) | (~m_main_v_state2(s41, c_n2)) | node15(s41) | (~node18(s41, s42)) | m_main_v_turn(s42, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s41) | (~node18(s41, s42)) | (~m_main_v_state1(s41, c_t1)) | (~m_main_v_state2(s41, c_n2)) | m_main_v_turn(s42, c_1))),
% 4.16/3.04 inference(transitivity,[status(thm)],[3722, 3720])).
% 4.16/3.04 tff(3724,plain,
% 4.16/3.04 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s41, c_t1)) | (~m_main_v_state2(s41, c_n2)) | node15(s41) | (~node18(s41, s42)) | m_main_v_turn(s42, c_1))),
% 4.16/3.04 inference(quant_inst,[status(thm)],[])).
% 4.16/3.04 tff(3725,plain,
% 4.16/3.04 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s41) | (~node18(s41, s42)) | (~m_main_v_state1(s41, c_t1)) | (~m_main_v_state2(s41, c_n2)) | m_main_v_turn(s42, c_1)),
% 4.16/3.04 inference(modus_ponens,[status(thm)],[3724, 3723])).
% 4.16/3.04 tff(3726,plain,
% 4.16/3.04 (node15(s41) | (~m_main_v_state1(s41, c_t1)) | (~m_main_v_state2(s41, c_n2)) | m_main_v_turn(s42, c_1)),
% 4.16/3.04 inference(unit_resolution,[status(thm)],[3725, 992, 3719])).
% 4.16/3.04 tff(3727,plain,
% 4.16/3.04 (m_main_v_turn(s42, c_1)),
% 4.16/3.04 inference(unit_resolution,[status(thm)],[3726, 3708, 3700, 3664])).
% 4.16/3.04 tff(3728,plain,
% 4.16/3.04 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s42, c_1)) | (~m_main_v_turn(s42, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s42, c_1)) | (~m_main_v_turn(s42, c_2)))),
% 4.16/3.04 inference(rewrite,[status(thm)],[])).
% 4.16/3.04 tff(3729,plain,
% 4.16/3.04 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s42, c_1)) | (~m_main_v_turn(s42, c_2)))),
% 4.16/3.04 inference(quant_inst,[status(thm)],[])).
% 4.16/3.04 tff(3730,plain,
% 4.16/3.04 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s42, c_1)) | (~m_main_v_turn(s42, c_2))),
% 4.16/3.04 inference(modus_ponens,[status(thm)],[3729, 3728])).
% 4.16/3.04 tff(3731,plain,
% 4.16/3.04 (~m_main_v_turn(s42, c_2)),
% 4.16/3.04 inference(unit_resolution,[status(thm)],[3730, 156, 3727])).
% 4.16/3.04 tff(3732,plain,
% 4.16/3.04 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s42, c_2) | (~node12(s42)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s42, c_2) | (~node12(s42)))),
% 4.16/3.04 inference(rewrite,[status(thm)],[])).
% 4.16/3.04 tff(3733,plain,
% 4.16/3.04 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s42, c_2) | (~node12(s42)))),
% 4.16/3.04 inference(quant_inst,[status(thm)],[])).
% 4.16/3.04 tff(3734,plain,
% 4.16/3.04 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s42, c_2) | (~node12(s42))),
% 4.16/3.04 inference(modus_ponens,[status(thm)],[3733, 3732])).
% 4.16/3.04 tff(3735,plain,
% 4.16/3.04 (~node12(s42)),
% 4.16/3.04 inference(unit_resolution,[status(thm)],[3734, 184, 3731])).
% 4.16/3.04 tff(3736,plain,
% 4.16/3.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s41, s42)) | node14(s41, s42))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s41, s42)) | node14(s41, s42))),
% 4.16/3.04 inference(rewrite,[status(thm)],[])).
% 4.16/3.04 tff(3737,plain,
% 4.16/3.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s41, s42)) | node14(s41, s42))),
% 4.16/3.04 inference(quant_inst,[status(thm)],[])).
% 4.16/3.04 tff(3738,plain,
% 4.16/3.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s41, s42)) | node14(s41, s42)),
% 4.16/3.04 inference(modus_ponens,[status(thm)],[3737, 3736])).
% 4.16/3.04 tff(3739,plain,
% 4.16/3.04 (node14(s41, s42)),
% 4.16/3.04 inference(unit_resolution,[status(thm)],[3738, 46, 3715])).
% 4.16/3.04 tff(3740,plain,
% 4.16/3.04 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s41, c_t1)) | (~m_main_v_state2(s41, c_n2)) | (~node14(s41, s42)) | m_main_v_state2(s42, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s41, c_t1)) | (~m_main_v_state2(s41, c_n2)) | (~node14(s41, s42)) | m_main_v_state2(s42, c_t2))),
% 4.16/3.04 inference(rewrite,[status(thm)],[])).
% 4.16/3.04 tff(3741,plain,
% 4.16/3.04 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s41, c_t1)) | (~m_main_v_state2(s41, c_n2)) | (~node14(s41, s42)) | m_main_v_state2(s42, c_t2))),
% 4.16/3.04 inference(quant_inst,[status(thm)],[])).
% 4.16/3.04 tff(3742,plain,
% 4.16/3.04 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s41, c_t1)) | (~m_main_v_state2(s41, c_n2)) | (~node14(s41, s42)) | m_main_v_state2(s42, c_t2)),
% 4.16/3.04 inference(modus_ponens,[status(thm)],[3741, 3740])).
% 4.16/3.04 tff(3743,plain,
% 4.16/3.04 ((~m_main_v_state1(s41, c_t1)) | (~m_main_v_state2(s41, c_n2)) | m_main_v_state2(s42, c_t2)),
% 4.16/3.04 inference(unit_resolution,[status(thm)],[3742, 922, 3739])).
% 4.16/3.04 tff(3744,plain,
% 4.16/3.04 (m_main_v_state2(s42, c_t2)),
% 4.16/3.04 inference(unit_resolution,[status(thm)],[3743, 3664, 3700])).
% 4.16/3.04 tff(3745,plain,
% 4.16/3.04 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s42, c_n2)) | (~m_main_v_state2(s42, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s42, c_n2)) | (~m_main_v_state2(s42, c_t2)))),
% 4.16/3.04 inference(rewrite,[status(thm)],[])).
% 4.16/3.04 tff(3746,plain,
% 4.16/3.04 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s42, c_n2)) | (~m_main_v_state2(s42, c_t2)))),
% 4.16/3.04 inference(quant_inst,[status(thm)],[])).
% 4.16/3.04 tff(3747,plain,
% 4.16/3.04 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s42, c_n2)) | (~m_main_v_state2(s42, c_t2))),
% 4.16/3.04 inference(modus_ponens,[status(thm)],[3746, 3745])).
% 4.16/3.04 tff(3748,plain,
% 4.16/3.04 (~m_main_v_state2(s42, c_n2)),
% 4.16/3.04 inference(unit_resolution,[status(thm)],[3747, 77, 3744])).
% 4.16/3.04 tff(3749,plain,
% 4.16/3.04 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s42, c_n2) | (~node8(s42)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s42, c_n2) | (~node8(s42)))),
% 4.16/3.04 inference(rewrite,[status(thm)],[])).
% 4.16/3.04 tff(3750,plain,
% 4.16/3.04 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s42, c_n2) | (~node8(s42)))),
% 4.16/3.04 inference(quant_inst,[status(thm)],[])).
% 4.16/3.04 tff(3751,plain,
% 4.16/3.04 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s42, c_n2) | (~node8(s42))),
% 4.16/3.04 inference(modus_ponens,[status(thm)],[3750, 3749])).
% 4.16/3.04 tff(3752,plain,
% 4.16/3.04 (~node8(s42)),
% 4.16/3.04 inference(unit_resolution,[status(thm)],[3751, 271, 3748])).
% 4.16/3.04 tff(3753,plain,
% 4.16/3.04 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s42, c_n2) | (~node9(s42)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s42, c_n2) | (~node9(s42)))),
% 4.16/3.04 inference(rewrite,[status(thm)],[])).
% 4.16/3.04 tff(3754,plain,
% 4.16/3.04 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s42, c_n2) | (~node9(s42)))),
% 4.16/3.04 inference(quant_inst,[status(thm)],[])).
% 4.16/3.04 tff(3755,plain,
% 4.16/3.04 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s42, c_n2) | (~node9(s42))),
% 4.16/3.04 inference(modus_ponens,[status(thm)],[3754, 3753])).
% 4.16/3.04 tff(3756,plain,
% 4.16/3.04 (~node9(s42)),
% 4.16/3.04 inference(unit_resolution,[status(thm)],[3755, 88, 3748])).
% 4.16/3.04 tff(3757,plain,
% 4.16/3.04 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s42, c_n2) | (~node10(s42)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s42, c_n2) | (~node10(s42)))),
% 4.16/3.04 inference(rewrite,[status(thm)],[])).
% 4.16/3.04 tff(3758,plain,
% 4.16/3.04 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s42, c_n2) | (~node10(s42)))),
% 4.16/3.04 inference(quant_inst,[status(thm)],[])).
% 4.16/3.04 tff(3759,plain,
% 4.16/3.04 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s42, c_n2) | (~node10(s42))),
% 4.16/3.04 inference(modus_ponens,[status(thm)],[3758, 3757])).
% 4.16/3.04 tff(3760,plain,
% 4.16/3.04 (~node10(s42)),
% 4.16/3.04 inference(unit_resolution,[status(thm)],[3759, 249, 3748])).
% 4.16/3.04 tff(3761,plain,
% 4.16/3.04 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s42, c_t2)) | (~m_main_v_state2(s42, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s42, c_t2)) | (~m_main_v_state2(s42, c_c2)))),
% 4.16/3.04 inference(rewrite,[status(thm)],[])).
% 4.16/3.04 tff(3762,plain,
% 4.16/3.04 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s42, c_t2)) | (~m_main_v_state2(s42, c_c2)))),
% 4.16/3.04 inference(quant_inst,[status(thm)],[])).
% 4.16/3.04 tff(3763,plain,
% 4.16/3.04 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s42, c_t2)) | (~m_main_v_state2(s42, c_c2))),
% 4.16/3.04 inference(modus_ponens,[status(thm)],[3762, 3761])).
% 4.16/3.04 tff(3764,plain,
% 4.16/3.04 (~m_main_v_state2(s42, c_c2)),
% 4.16/3.04 inference(unit_resolution,[status(thm)],[3763, 260, 3744])).
% 4.16/3.04 tff(3765,plain,
% 4.16/3.04 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s41, c_n2)) | (~m_main_v_state2(s41, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s41, c_n2)) | (~m_main_v_state2(s41, c_c2)))),
% 4.16/3.04 inference(rewrite,[status(thm)],[])).
% 4.16/3.04 tff(3766,plain,
% 4.16/3.04 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s41, c_n2)) | (~m_main_v_state2(s41, c_c2)))),
% 4.16/3.04 inference(quant_inst,[status(thm)],[])).
% 4.16/3.04 tff(3767,plain,
% 4.16/3.04 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s41, c_n2)) | (~m_main_v_state2(s41, c_c2))),
% 4.16/3.04 inference(modus_ponens,[status(thm)],[3766, 3765])).
% 4.16/3.04 tff(3768,plain,
% 4.16/3.04 (~m_main_v_state2(s41, c_c2)),
% 4.16/3.04 inference(unit_resolution,[status(thm)],[3767, 697, 3700])).
% 4.16/3.04 tff(3769,plain,
% 4.16/3.04 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s41, c_c2) | (~node3(s41)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s41, c_c2) | (~node3(s41)))),
% 4.16/3.04 inference(rewrite,[status(thm)],[])).
% 4.16/3.04 tff(3770,plain,
% 4.16/3.04 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s41, c_c2) | (~node3(s41)))),
% 4.16/3.04 inference(quant_inst,[status(thm)],[])).
% 4.16/3.04 tff(3771,plain,
% 4.16/3.04 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s41, c_c2) | (~node3(s41))),
% 4.16/3.04 inference(modus_ponens,[status(thm)],[3770, 3769])).
% 4.16/3.04 tff(3772,plain,
% 4.16/3.04 (~node3(s41)),
% 4.16/3.04 inference(unit_resolution,[status(thm)],[3771, 399, 3768])).
% 4.16/3.04 tff(3773,plain,
% 4.16/3.04 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s40, c_n1) | (~m_main_v_state1(s41, c_n1)) | (~node6(s40, s41)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s40, c_n1) | (~m_main_v_state1(s41, c_n1)) | (~node6(s40, s41)))),
% 4.16/3.04 inference(rewrite,[status(thm)],[])).
% 4.16/3.04 tff(3774,plain,
% 4.16/3.04 (((~node6(s40, s41)) | m_main_v_state1(s40, c_n1) | (~m_main_v_state1(s41, c_n1))) <=> (m_main_v_state1(s40, c_n1) | (~m_main_v_state1(s41, c_n1)) | (~node6(s40, s41)))),
% 4.16/3.04 inference(rewrite,[status(thm)],[])).
% 4.16/3.04 tff(3775,plain,
% 4.16/3.04 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s40, s41)) | m_main_v_state1(s40, c_n1) | (~m_main_v_state1(s41, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s40, c_n1) | (~m_main_v_state1(s41, c_n1)) | (~node6(s40, s41))))),
% 4.16/3.04 inference(monotonicity,[status(thm)],[3774])).
% 4.16/3.04 tff(3776,plain,
% 4.16/3.04 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s40, s41)) | m_main_v_state1(s40, c_n1) | (~m_main_v_state1(s41, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s40, c_n1) | (~m_main_v_state1(s41, c_n1)) | (~node6(s40, s41)))),
% 4.16/3.04 inference(transitivity,[status(thm)],[3775, 3773])).
% 4.16/3.04 tff(3777,plain,
% 4.16/3.04 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s40, s41)) | m_main_v_state1(s40, c_n1) | (~m_main_v_state1(s41, c_n1)))),
% 4.16/3.04 inference(quant_inst,[status(thm)],[])).
% 4.16/3.04 tff(3778,plain,
% 4.16/3.04 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s40, c_n1) | (~m_main_v_state1(s41, c_n1)) | (~node6(s40, s41))),
% 4.16/3.04 inference(modus_ponens,[status(thm)],[3777, 3776])).
% 4.16/3.04 tff(3779,plain,
% 4.16/3.04 (~m_main_v_state1(s41, c_n1)),
% 4.16/3.04 inference(unit_resolution,[status(thm)],[3778, 835, 3572, 3657])).
% 4.16/3.04 tff(3780,plain,
% 4.16/3.04 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s41, c_n1) | (~node2(s41)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s41, c_n1) | (~node2(s41)))),
% 4.16/3.04 inference(rewrite,[status(thm)],[])).
% 4.16/3.04 tff(3781,plain,
% 4.16/3.04 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s41, c_n1) | (~node2(s41)))),
% 4.16/3.04 inference(quant_inst,[status(thm)],[])).
% 4.16/3.04 tff(3782,plain,
% 4.16/3.04 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s41, c_n1) | (~node2(s41))),
% 4.16/3.04 inference(modus_ponens,[status(thm)],[3781, 3780])).
% 4.16/3.04 tff(3783,plain,
% 4.16/3.04 (~node2(s41)),
% 4.16/3.04 inference(unit_resolution,[status(thm)],[3782, 787, 3779])).
% 4.16/3.04 tff(3784,plain,
% 4.16/3.04 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s41, c_t2) | (~node1(s41)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s41, c_t2) | (~node1(s41)))),
% 4.16/3.04 inference(rewrite,[status(thm)],[])).
% 4.16/3.04 tff(3785,plain,
% 4.16/3.04 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s41, c_t2) | (~node1(s41)))),
% 4.16/3.04 inference(quant_inst,[status(thm)],[])).
% 4.16/3.04 tff(3786,plain,
% 4.16/3.04 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s41, c_t2) | (~node1(s41))),
% 4.16/3.04 inference(modus_ponens,[status(thm)],[3785, 3784])).
% 4.16/3.04 tff(3787,plain,
% 4.16/3.04 (~node1(s41)),
% 4.16/3.04 inference(unit_resolution,[status(thm)],[3786, 195, 3704])).
% 4.16/3.04 tff(3788,plain,
% 4.16/3.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s41, s42)) | node7(s41, s42))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s41, s42)) | node7(s41, s42))),
% 4.16/3.04 inference(rewrite,[status(thm)],[])).
% 4.16/3.04 tff(3789,plain,
% 4.16/3.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s41, s42)) | node7(s41, s42))),
% 4.16/3.04 inference(quant_inst,[status(thm)],[])).
% 4.16/3.04 tff(3790,plain,
% 4.16/3.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s41, s42)) | node7(s41, s42)),
% 4.16/3.04 inference(modus_ponens,[status(thm)],[3789, 3788])).
% 4.16/3.04 tff(3791,plain,
% 4.16/3.04 (node7(s41, s42)),
% 4.16/3.04 inference(unit_resolution,[status(thm)],[3790, 206, 3715])).
% 4.16/3.04 tff(3792,plain,
% 4.16/3.04 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s41, c_t1)) | (~m_main_v_state2(s41, c_n2)) | m_main_v_state1(s42, c_c1) | node1(s41) | node2(s41) | node3(s41) | (~node7(s41, s42)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s41, c_t1)) | (~m_main_v_state2(s41, c_n2)) | m_main_v_state1(s42, c_c1) | node1(s41) | node2(s41) | node3(s41) | (~node7(s41, s42)))),
% 4.16/3.04 inference(rewrite,[status(thm)],[])).
% 4.16/3.04 tff(3793,plain,
% 4.16/3.04 (((~m_main_v_state1(s41, c_t1)) | (~m_main_v_state2(s41, c_n2)) | node1(s41) | node2(s41) | node3(s41) | (~node7(s41, s42)) | m_main_v_state1(s42, c_c1)) <=> ((~m_main_v_state1(s41, c_t1)) | (~m_main_v_state2(s41, c_n2)) | m_main_v_state1(s42, c_c1) | node1(s41) | node2(s41) | node3(s41) | (~node7(s41, s42)))),
% 4.16/3.04 inference(rewrite,[status(thm)],[])).
% 4.16/3.04 tff(3794,plain,
% 4.16/3.04 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s41, c_t1)) | (~m_main_v_state2(s41, c_n2)) | node1(s41) | node2(s41) | node3(s41) | (~node7(s41, s42)) | m_main_v_state1(s42, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s41, c_t1)) | (~m_main_v_state2(s41, c_n2)) | m_main_v_state1(s42, c_c1) | node1(s41) | node2(s41) | node3(s41) | (~node7(s41, s42))))),
% 4.16/3.04 inference(monotonicity,[status(thm)],[3793])).
% 4.16/3.04 tff(3795,plain,
% 4.16/3.04 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s41, c_t1)) | (~m_main_v_state2(s41, c_n2)) | node1(s41) | node2(s41) | node3(s41) | (~node7(s41, s42)) | m_main_v_state1(s42, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s41, c_t1)) | (~m_main_v_state2(s41, c_n2)) | m_main_v_state1(s42, c_c1) | node1(s41) | node2(s41) | node3(s41) | (~node7(s41, s42)))),
% 4.16/3.04 inference(transitivity,[status(thm)],[3794, 3792])).
% 4.16/3.04 tff(3796,plain,
% 4.16/3.04 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s41, c_t1)) | (~m_main_v_state2(s41, c_n2)) | node1(s41) | node2(s41) | node3(s41) | (~node7(s41, s42)) | m_main_v_state1(s42, c_c1))),
% 4.16/3.04 inference(quant_inst,[status(thm)],[])).
% 4.16/3.04 tff(3797,plain,
% 4.16/3.04 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s41, c_t1)) | (~m_main_v_state2(s41, c_n2)) | m_main_v_state1(s42, c_c1) | node1(s41) | node2(s41) | node3(s41) | (~node7(s41, s42))),
% 4.16/3.04 inference(modus_ponens,[status(thm)],[3796, 3795])).
% 4.16/3.04 tff(3798,plain,
% 4.16/3.04 ((~m_main_v_state1(s41, c_t1)) | (~m_main_v_state2(s41, c_n2)) | m_main_v_state1(s42, c_c1) | node1(s41) | node2(s41) | node3(s41)),
% 4.16/3.04 inference(unit_resolution,[status(thm)],[3797, 892, 3791])).
% 4.16/3.04 tff(3799,plain,
% 4.16/3.04 (m_main_v_state1(s42, c_c1)),
% 4.16/3.04 inference(unit_resolution,[status(thm)],[3798, 3787, 3700, 3664, 3783, 3772])).
% 4.16/3.05 tff(3800,plain,
% 4.16/3.05 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s42, c_n1)) | (~m_main_v_state1(s42, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s42, c_n1)) | (~m_main_v_state1(s42, c_c1)))),
% 4.16/3.05 inference(rewrite,[status(thm)],[])).
% 4.16/3.05 tff(3801,plain,
% 4.16/3.05 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s42, c_n1)) | (~m_main_v_state1(s42, c_c1)))),
% 4.16/3.05 inference(quant_inst,[status(thm)],[])).
% 4.16/3.05 tff(3802,plain,
% 4.16/3.05 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s42, c_n1)) | (~m_main_v_state1(s42, c_c1))),
% 4.16/3.05 inference(modus_ponens,[status(thm)],[3801, 3800])).
% 4.16/3.05 tff(3803,plain,
% 4.16/3.05 (~m_main_v_state1(s42, c_n1)),
% 4.16/3.05 inference(unit_resolution,[status(thm)],[3802, 454, 3799])).
% 4.16/3.05 tff(3804,plain,
% 4.16/3.05 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s42, c_n1) | (~node11(s42)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s42, c_n1) | (~node11(s42)))),
% 4.16/3.05 inference(rewrite,[status(thm)],[])).
% 4.16/3.05 tff(3805,plain,
% 4.16/3.05 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s42, c_n1) | (~node11(s42)))),
% 4.16/3.05 inference(quant_inst,[status(thm)],[])).
% 4.16/3.05 tff(3806,plain,
% 4.16/3.05 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s42, c_n1) | (~node11(s42))),
% 4.16/3.05 inference(modus_ponens,[status(thm)],[3805, 3804])).
% 4.16/3.05 tff(3807,plain,
% 4.16/3.05 (~node11(s42)),
% 4.16/3.05 inference(unit_resolution,[status(thm)],[3806, 238, 3803])).
% 4.16/3.05 tff(3808,plain,
% 4.16/3.05 (succ(s42, s43) <=> succ(s42, s43)),
% 4.16/3.05 inference(rewrite,[status(thm)],[])).
% 4.16/3.05 tff(3809,axiom,(succ(s42, s43)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound43')).
% 4.16/3.05 tff(3810,plain,
% 4.16/3.05 (succ(s42, s43)),
% 4.16/3.05 inference(modus_ponens,[status(thm)],[3809, 3808])).
% 4.16/3.05 tff(3811,plain,
% 4.16/3.05 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s42, s43)) | trans(s42, s43))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s42, s43)) | trans(s42, s43))),
% 4.16/3.05 inference(rewrite,[status(thm)],[])).
% 4.16/3.05 tff(3812,plain,
% 4.16/3.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s42, s43)) | trans(s42, s43))),
% 4.16/3.05 inference(quant_inst,[status(thm)],[])).
% 4.16/3.05 tff(3813,plain,
% 4.16/3.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s42, s43)) | trans(s42, s43)),
% 4.16/3.05 inference(modus_ponens,[status(thm)],[3812, 3811])).
% 4.16/3.05 tff(3814,plain,
% 4.16/3.05 (trans(s42, s43)),
% 4.16/3.05 inference(unit_resolution,[status(thm)],[3813, 3810, 32])).
% 4.16/3.05 tff(3815,plain,
% 4.16/3.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s42, s43)) | node14(s42, s43))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s42, s43)) | node14(s42, s43))),
% 4.16/3.05 inference(rewrite,[status(thm)],[])).
% 4.16/3.05 tff(3816,plain,
% 4.16/3.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s42, s43)) | node14(s42, s43))),
% 4.16/3.05 inference(quant_inst,[status(thm)],[])).
% 4.16/3.05 tff(3817,plain,
% 4.16/3.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s42, s43)) | node14(s42, s43)),
% 4.16/3.05 inference(modus_ponens,[status(thm)],[3816, 3815])).
% 4.16/3.05 tff(3818,plain,
% 4.16/3.05 (node14(s42, s43)),
% 4.16/3.05 inference(unit_resolution,[status(thm)],[3817, 46, 3814])).
% 4.16/3.05 tff(3819,plain,
% 4.16/3.05 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s42, c_c2) | node9(s42) | node8(s42) | node10(s42) | node11(s42) | node12(s42) | node13(s42, s43) | (~node14(s42, s43)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s42, c_c2) | node9(s42) | node8(s42) | node10(s42) | node11(s42) | node12(s42) | node13(s42, s43) | (~node14(s42, s43)))),
% 4.16/3.05 inference(rewrite,[status(thm)],[])).
% 4.16/3.05 tff(3820,plain,
% 4.16/3.05 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s42, c_c2) | node9(s42) | node8(s42) | node10(s42) | node11(s42) | node12(s42) | node13(s42, s43) | (~node14(s42, s43)))),
% 4.16/3.05 inference(quant_inst,[status(thm)],[])).
% 4.16/3.05 tff(3821,plain,
% 4.16/3.05 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s42, c_c2) | node9(s42) | node8(s42) | node10(s42) | node11(s42) | node12(s42) | node13(s42, s43) | (~node14(s42, s43))),
% 4.16/3.05 inference(modus_ponens,[status(thm)],[3820, 3819])).
% 4.16/3.05 tff(3822,plain,
% 4.16/3.05 (m_main_v_state2(s42, c_c2) | node9(s42) | node8(s42) | node10(s42) | node11(s42) | node12(s42) | node13(s42, s43)),
% 4.16/3.05 inference(unit_resolution,[status(thm)],[3821, 296, 3818])).
% 4.16/3.05 tff(3823,plain,
% 4.16/3.05 (node13(s42, s43)),
% 4.16/3.05 inference(unit_resolution,[status(thm)],[3822, 3807, 3764, 3760, 3756, 3752, 3735])).
% 4.16/3.05 tff(3824,plain,
% 4.16/3.05 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s42, c_n2) | (~m_main_v_state2(s43, c_n2)) | (~node13(s42, s43)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s42, c_n2) | (~m_main_v_state2(s43, c_n2)) | (~node13(s42, s43)))),
% 4.16/3.05 inference(rewrite,[status(thm)],[])).
% 4.16/3.05 tff(3825,plain,
% 4.16/3.05 (((~node13(s42, s43)) | m_main_v_state2(s42, c_n2) | (~m_main_v_state2(s43, c_n2))) <=> (m_main_v_state2(s42, c_n2) | (~m_main_v_state2(s43, c_n2)) | (~node13(s42, s43)))),
% 4.16/3.05 inference(rewrite,[status(thm)],[])).
% 4.16/3.05 tff(3826,plain,
% 4.16/3.05 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s42, s43)) | m_main_v_state2(s42, c_n2) | (~m_main_v_state2(s43, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s42, c_n2) | (~m_main_v_state2(s43, c_n2)) | (~node13(s42, s43))))),
% 4.16/3.05 inference(monotonicity,[status(thm)],[3825])).
% 4.16/3.05 tff(3827,plain,
% 4.16/3.05 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s42, s43)) | m_main_v_state2(s42, c_n2) | (~m_main_v_state2(s43, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s42, c_n2) | (~m_main_v_state2(s43, c_n2)) | (~node13(s42, s43)))),
% 4.16/3.05 inference(transitivity,[status(thm)],[3826, 3824])).
% 4.16/3.05 tff(3828,plain,
% 4.16/3.05 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s42, s43)) | m_main_v_state2(s42, c_n2) | (~m_main_v_state2(s43, c_n2)))),
% 4.16/3.05 inference(quant_inst,[status(thm)],[])).
% 4.16/3.05 tff(3829,plain,
% 4.16/3.05 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s42, c_n2) | (~m_main_v_state2(s43, c_n2)) | (~node13(s42, s43))),
% 4.16/3.05 inference(modus_ponens,[status(thm)],[3828, 3827])).
% 4.16/3.05 tff(3830,plain,
% 4.16/3.05 (~m_main_v_state2(s43, c_n2)),
% 4.16/3.05 inference(unit_resolution,[status(thm)],[3829, 311, 3748, 3823])).
% 4.16/3.05 tff(3831,plain,
% 4.16/3.05 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s43, c_n2) | (~node9(s43)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s43, c_n2) | (~node9(s43)))),
% 4.16/3.05 inference(rewrite,[status(thm)],[])).
% 4.16/3.05 tff(3832,plain,
% 4.16/3.05 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s43, c_n2) | (~node9(s43)))),
% 4.16/3.05 inference(quant_inst,[status(thm)],[])).
% 4.16/3.05 tff(3833,plain,
% 4.16/3.05 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s43, c_n2) | (~node9(s43))),
% 4.16/3.05 inference(modus_ponens,[status(thm)],[3832, 3831])).
% 4.16/3.05 tff(3834,plain,
% 4.16/3.05 (~node9(s43)),
% 4.16/3.05 inference(unit_resolution,[status(thm)],[3833, 88, 3830])).
% 4.16/3.05 tff(3835,plain,
% 4.16/3.05 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s43, c_n2) | (~node10(s43)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s43, c_n2) | (~node10(s43)))),
% 4.16/3.05 inference(rewrite,[status(thm)],[])).
% 4.16/3.05 tff(3836,plain,
% 4.16/3.05 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s43, c_n2) | (~node10(s43)))),
% 4.16/3.05 inference(quant_inst,[status(thm)],[])).
% 4.16/3.05 tff(3837,plain,
% 4.16/3.05 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s43, c_n2) | (~node10(s43))),
% 4.16/3.05 inference(modus_ponens,[status(thm)],[3836, 3835])).
% 4.16/3.05 tff(3838,plain,
% 4.16/3.05 (~node10(s43)),
% 4.16/3.05 inference(unit_resolution,[status(thm)],[3837, 249, 3830])).
% 4.16/3.05 tff(3839,plain,
% 4.16/3.05 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s42, c_t2)) | m_main_v_state2(s43, c_t2) | (~node13(s42, s43)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s42, c_t2)) | m_main_v_state2(s43, c_t2) | (~node13(s42, s43)))),
% 4.16/3.05 inference(rewrite,[status(thm)],[])).
% 4.16/3.05 tff(3840,plain,
% 4.16/3.05 (((~node13(s42, s43)) | (~m_main_v_state2(s42, c_t2)) | m_main_v_state2(s43, c_t2)) <=> ((~m_main_v_state2(s42, c_t2)) | m_main_v_state2(s43, c_t2) | (~node13(s42, s43)))),
% 4.16/3.05 inference(rewrite,[status(thm)],[])).
% 4.16/3.05 tff(3841,plain,
% 4.16/3.05 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s42, s43)) | (~m_main_v_state2(s42, c_t2)) | m_main_v_state2(s43, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s42, c_t2)) | m_main_v_state2(s43, c_t2) | (~node13(s42, s43))))),
% 4.16/3.05 inference(monotonicity,[status(thm)],[3840])).
% 4.16/3.05 tff(3842,plain,
% 4.16/3.05 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s42, s43)) | (~m_main_v_state2(s42, c_t2)) | m_main_v_state2(s43, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s42, c_t2)) | m_main_v_state2(s43, c_t2) | (~node13(s42, s43)))),
% 4.16/3.05 inference(transitivity,[status(thm)],[3841, 3839])).
% 4.16/3.05 tff(3843,plain,
% 4.16/3.05 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s42, s43)) | (~m_main_v_state2(s42, c_t2)) | m_main_v_state2(s43, c_t2))),
% 4.16/3.05 inference(quant_inst,[status(thm)],[])).
% 4.16/3.05 tff(3844,plain,
% 4.16/3.05 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s42, c_t2)) | m_main_v_state2(s43, c_t2) | (~node13(s42, s43))),
% 4.16/3.05 inference(modus_ponens,[status(thm)],[3843, 3842])).
% 4.16/3.05 tff(3845,plain,
% 4.16/3.05 (m_main_v_state2(s43, c_t2)),
% 4.16/3.05 inference(unit_resolution,[status(thm)],[3844, 518, 3744, 3823])).
% 4.16/3.05 tff(3846,plain,
% 4.16/3.05 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s42, c_t1)) | (~m_main_v_state1(s42, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s42, c_t1)) | (~m_main_v_state1(s42, c_c1)))),
% 4.16/3.05 inference(rewrite,[status(thm)],[])).
% 4.16/3.05 tff(3847,plain,
% 4.16/3.05 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s42, c_t1)) | (~m_main_v_state1(s42, c_c1)))),
% 4.16/3.05 inference(quant_inst,[status(thm)],[])).
% 4.16/3.05 tff(3848,plain,
% 4.16/3.05 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s42, c_t1)) | (~m_main_v_state1(s42, c_c1))),
% 4.16/3.05 inference(modus_ponens,[status(thm)],[3847, 3846])).
% 4.16/3.05 tff(3849,plain,
% 4.16/3.05 (~m_main_v_state1(s42, c_t1)),
% 4.16/3.05 inference(unit_resolution,[status(thm)],[3848, 539, 3799])).
% 4.16/3.05 tff(3850,plain,
% 4.16/3.05 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s42, c_t1) | (~node5(s42)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s42, c_t1) | (~node5(s42)))),
% 4.16/3.05 inference(rewrite,[status(thm)],[])).
% 4.16/3.05 tff(3851,plain,
% 4.16/3.05 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s42, c_t1) | (~node5(s42)))),
% 4.16/3.05 inference(quant_inst,[status(thm)],[])).
% 4.16/3.05 tff(3852,plain,
% 4.16/3.05 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s42, c_t1) | (~node5(s42))),
% 4.16/3.05 inference(modus_ponens,[status(thm)],[3851, 3850])).
% 4.16/3.05 tff(3853,plain,
% 4.16/3.05 (~node5(s42)),
% 4.16/3.05 inference(unit_resolution,[status(thm)],[3852, 550, 3849])).
% 4.16/3.05 tff(3854,plain,
% 4.16/3.05 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s42, c_n2) | (~node4(s42)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s42, c_n2) | (~node4(s42)))),
% 4.16/3.05 inference(rewrite,[status(thm)],[])).
% 4.16/3.05 tff(3855,plain,
% 4.16/3.05 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s42, c_n2) | (~node4(s42)))),
% 4.16/3.05 inference(quant_inst,[status(thm)],[])).
% 4.16/3.05 tff(3856,plain,
% 4.16/3.05 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s42, c_n2) | (~node4(s42))),
% 4.16/3.05 inference(modus_ponens,[status(thm)],[3855, 3854])).
% 4.16/3.05 tff(3857,plain,
% 4.16/3.05 (~node4(s42)),
% 4.16/3.05 inference(unit_resolution,[status(thm)],[3856, 388, 3748])).
% 4.16/3.05 tff(3858,plain,
% 4.16/3.05 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s42, c_c2) | (~node3(s42)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s42, c_c2) | (~node3(s42)))),
% 4.16/3.05 inference(rewrite,[status(thm)],[])).
% 4.16/3.05 tff(3859,plain,
% 4.16/3.05 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s42, c_c2) | (~node3(s42)))),
% 4.16/3.05 inference(quant_inst,[status(thm)],[])).
% 4.16/3.05 tff(3860,plain,
% 4.16/3.05 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s42, c_c2) | (~node3(s42))),
% 4.16/3.05 inference(modus_ponens,[status(thm)],[3859, 3858])).
% 4.16/3.05 tff(3861,plain,
% 4.16/3.05 (~node3(s42)),
% 4.16/3.05 inference(unit_resolution,[status(thm)],[3860, 399, 3764])).
% 4.16/3.05 tff(3862,plain,
% 4.16/3.05 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s42, c_n2) | (~node2(s42)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s42, c_n2) | (~node2(s42)))),
% 4.16/3.05 inference(rewrite,[status(thm)],[])).
% 4.16/3.05 tff(3863,plain,
% 4.16/3.05 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s42, c_n2) | (~node2(s42)))),
% 4.16/3.05 inference(quant_inst,[status(thm)],[])).
% 4.16/3.05 tff(3864,plain,
% 4.16/3.05 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s42, c_n2) | (~node2(s42))),
% 4.16/3.05 inference(modus_ponens,[status(thm)],[3863, 3862])).
% 4.16/3.05 tff(3865,plain,
% 4.16/3.05 (~node2(s42)),
% 4.16/3.05 inference(unit_resolution,[status(thm)],[3864, 410, 3748])).
% 4.16/3.05 tff(3866,plain,
% 4.16/3.05 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s42, c_n1) | (~node1(s42)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s42, c_n1) | (~node1(s42)))),
% 4.16/3.05 inference(rewrite,[status(thm)],[])).
% 4.16/3.05 tff(3867,plain,
% 4.16/3.05 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s42, c_n1) | (~node1(s42)))),
% 4.16/3.05 inference(quant_inst,[status(thm)],[])).
% 4.16/3.05 tff(3868,plain,
% 4.16/3.05 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s42, c_n1) | (~node1(s42))),
% 4.16/3.05 inference(modus_ponens,[status(thm)],[3867, 3866])).
% 4.16/3.05 tff(3869,plain,
% 4.16/3.05 (~node1(s42)),
% 4.16/3.05 inference(unit_resolution,[status(thm)],[3868, 421, 3803])).
% 4.16/3.05 tff(3870,plain,
% 4.16/3.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s42, s43)) | node7(s42, s43))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s42, s43)) | node7(s42, s43))),
% 4.16/3.05 inference(rewrite,[status(thm)],[])).
% 4.16/3.05 tff(3871,plain,
% 4.16/3.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s42, s43)) | node7(s42, s43))),
% 4.16/3.05 inference(quant_inst,[status(thm)],[])).
% 4.16/3.05 tff(3872,plain,
% 4.16/3.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s42, s43)) | node7(s42, s43)),
% 4.16/3.05 inference(modus_ponens,[status(thm)],[3871, 3870])).
% 4.16/3.05 tff(3873,plain,
% 4.16/3.05 (node7(s42, s43)),
% 4.16/3.05 inference(unit_resolution,[status(thm)],[3872, 206, 3814])).
% 4.16/3.05 tff(3874,plain,
% 4.16/3.05 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s43, c_n1) | (~m_main_v_state1(s42, c_c1)) | node1(s42) | node2(s42) | node3(s42) | node4(s42) | node5(s42) | (~node7(s42, s43)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s43, c_n1) | (~m_main_v_state1(s42, c_c1)) | node1(s42) | node2(s42) | node3(s42) | node4(s42) | node5(s42) | (~node7(s42, s43)))),
% 4.16/3.05 inference(rewrite,[status(thm)],[])).
% 4.16/3.05 tff(3875,plain,
% 4.16/3.05 (((~m_main_v_state1(s42, c_c1)) | node1(s42) | node2(s42) | node3(s42) | node4(s42) | node5(s42) | (~node7(s42, s43)) | m_main_v_state1(s43, c_n1)) <=> (m_main_v_state1(s43, c_n1) | (~m_main_v_state1(s42, c_c1)) | node1(s42) | node2(s42) | node3(s42) | node4(s42) | node5(s42) | (~node7(s42, s43)))),
% 4.16/3.05 inference(rewrite,[status(thm)],[])).
% 4.16/3.05 tff(3876,plain,
% 4.16/3.05 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s42, c_c1)) | node1(s42) | node2(s42) | node3(s42) | node4(s42) | node5(s42) | (~node7(s42, s43)) | m_main_v_state1(s43, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s43, c_n1) | (~m_main_v_state1(s42, c_c1)) | node1(s42) | node2(s42) | node3(s42) | node4(s42) | node5(s42) | (~node7(s42, s43))))),
% 4.16/3.05 inference(monotonicity,[status(thm)],[3875])).
% 4.16/3.05 tff(3877,plain,
% 4.16/3.05 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s42, c_c1)) | node1(s42) | node2(s42) | node3(s42) | node4(s42) | node5(s42) | (~node7(s42, s43)) | m_main_v_state1(s43, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s43, c_n1) | (~m_main_v_state1(s42, c_c1)) | node1(s42) | node2(s42) | node3(s42) | node4(s42) | node5(s42) | (~node7(s42, s43)))),
% 4.16/3.05 inference(transitivity,[status(thm)],[3876, 3874])).
% 4.16/3.05 tff(3878,plain,
% 4.16/3.05 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s42, c_c1)) | node1(s42) | node2(s42) | node3(s42) | node4(s42) | node5(s42) | (~node7(s42, s43)) | m_main_v_state1(s43, c_n1))),
% 4.16/3.05 inference(quant_inst,[status(thm)],[])).
% 4.16/3.05 tff(3879,plain,
% 4.16/3.05 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s43, c_n1) | (~m_main_v_state1(s42, c_c1)) | node1(s42) | node2(s42) | node3(s42) | node4(s42) | node5(s42) | (~node7(s42, s43))),
% 4.16/3.05 inference(modus_ponens,[status(thm)],[3878, 3877])).
% 4.16/3.05 tff(3880,plain,
% 4.16/3.05 (m_main_v_state1(s43, c_n1) | (~m_main_v_state1(s42, c_c1)) | node1(s42) | node2(s42) | node3(s42) | node4(s42) | node5(s42)),
% 4.16/3.05 inference(unit_resolution,[status(thm)],[3879, 584, 3873])).
% 4.16/3.05 tff(3881,plain,
% 4.16/3.05 (m_main_v_state1(s43, c_n1)),
% 4.16/3.05 inference(unit_resolution,[status(thm)],[3880, 3869, 3799, 3865, 3861, 3857, 3853])).
% 4.16/3.05 tff(3882,plain,
% 4.16/3.05 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s43, c_n2) | (~node8(s43)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s43, c_n2) | (~node8(s43)))),
% 4.16/3.05 inference(rewrite,[status(thm)],[])).
% 4.16/3.05 tff(3883,plain,
% 4.16/3.05 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s43, c_n2) | (~node8(s43)))),
% 4.16/3.05 inference(quant_inst,[status(thm)],[])).
% 4.16/3.05 tff(3884,plain,
% 4.16/3.05 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s43, c_n2) | (~node8(s43))),
% 4.16/3.05 inference(modus_ponens,[status(thm)],[3883, 3882])).
% 4.16/3.05 tff(3885,plain,
% 4.16/3.05 (~node8(s43)),
% 4.16/3.05 inference(unit_resolution,[status(thm)],[3884, 271, 3830])).
% 4.16/3.05 tff(3886,plain,
% 4.16/3.05 (succ(s43, s44) <=> succ(s43, s44)),
% 4.16/3.05 inference(rewrite,[status(thm)],[])).
% 4.16/3.05 tff(3887,axiom,(succ(s43, s44)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound44')).
% 4.16/3.05 tff(3888,plain,
% 4.16/3.05 (succ(s43, s44)),
% 4.16/3.05 inference(modus_ponens,[status(thm)],[3887, 3886])).
% 4.16/3.05 tff(3889,plain,
% 4.16/3.05 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s43, s44)) | trans(s43, s44))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s43, s44)) | trans(s43, s44))),
% 4.16/3.05 inference(rewrite,[status(thm)],[])).
% 4.16/3.05 tff(3890,plain,
% 4.16/3.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s43, s44)) | trans(s43, s44))),
% 4.16/3.05 inference(quant_inst,[status(thm)],[])).
% 4.16/3.05 tff(3891,plain,
% 4.16/3.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s43, s44)) | trans(s43, s44)),
% 4.16/3.05 inference(modus_ponens,[status(thm)],[3890, 3889])).
% 4.16/3.05 tff(3892,plain,
% 4.16/3.05 (trans(s43, s44)),
% 4.16/3.05 inference(unit_resolution,[status(thm)],[3891, 3888, 32])).
% 4.16/3.05 tff(3893,plain,
% 4.16/3.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s43, s44)) | node14(s43, s44))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s43, s44)) | node14(s43, s44))),
% 4.16/3.05 inference(rewrite,[status(thm)],[])).
% 4.16/3.05 tff(3894,plain,
% 4.16/3.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s43, s44)) | node14(s43, s44))),
% 4.16/3.05 inference(quant_inst,[status(thm)],[])).
% 4.16/3.05 tff(3895,plain,
% 4.16/3.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s43, s44)) | node14(s43, s44)),
% 4.16/3.05 inference(modus_ponens,[status(thm)],[3894, 3893])).
% 4.16/3.05 tff(3896,plain,
% 4.16/3.05 (node14(s43, s44)),
% 4.16/3.05 inference(unit_resolution,[status(thm)],[3895, 46, 3892])).
% 4.16/3.05 tff(3897,plain,
% 4.16/3.05 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s43, c_n1)) | (~m_main_v_state2(s43, c_t2)) | node9(s43) | node8(s43) | node10(s43) | (~node14(s43, s44)) | m_main_v_state2(s44, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s43, c_n1)) | (~m_main_v_state2(s43, c_t2)) | node9(s43) | node8(s43) | node10(s43) | (~node14(s43, s44)) | m_main_v_state2(s44, c_c2))),
% 4.16/3.05 inference(rewrite,[status(thm)],[])).
% 4.16/3.05 tff(3898,plain,
% 4.16/3.05 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s43, c_n1)) | (~m_main_v_state2(s43, c_t2)) | node9(s43) | node8(s43) | node10(s43) | (~node14(s43, s44)) | m_main_v_state2(s44, c_c2))),
% 4.16/3.05 inference(quant_inst,[status(thm)],[])).
% 4.16/3.05 tff(3899,plain,
% 4.16/3.05 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s43, c_n1)) | (~m_main_v_state2(s43, c_t2)) | node9(s43) | node8(s43) | node10(s43) | (~node14(s43, s44)) | m_main_v_state2(s44, c_c2)),
% 4.16/3.05 inference(modus_ponens,[status(thm)],[3898, 3897])).
% 4.16/3.05 tff(3900,plain,
% 4.16/3.05 ((~m_main_v_state1(s43, c_n1)) | (~m_main_v_state2(s43, c_t2)) | node9(s43) | node8(s43) | node10(s43) | m_main_v_state2(s44, c_c2)),
% 4.16/3.05 inference(unit_resolution,[status(thm)],[3899, 617, 3896])).
% 4.16/3.05 tff(3901,plain,
% 4.16/3.05 (m_main_v_state2(s44, c_c2)),
% 4.16/3.05 inference(unit_resolution,[status(thm)],[3900, 3885, 3881, 3845, 3838, 3834])).
% 4.16/3.05 tff(3902,plain,
% 4.16/3.05 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s44, c_t2)) | (~m_main_v_state2(s44, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s44, c_t2)) | (~m_main_v_state2(s44, c_c2)))),
% 4.16/3.05 inference(rewrite,[status(thm)],[])).
% 4.16/3.05 tff(3903,plain,
% 4.16/3.05 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s44, c_t2)) | (~m_main_v_state2(s44, c_c2)))),
% 4.16/3.05 inference(quant_inst,[status(thm)],[])).
% 4.16/3.05 tff(3904,plain,
% 4.16/3.05 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s44, c_t2)) | (~m_main_v_state2(s44, c_c2))),
% 4.16/3.05 inference(modus_ponens,[status(thm)],[3903, 3902])).
% 4.16/3.05 tff(3905,plain,
% 4.16/3.05 (~m_main_v_state2(s44, c_t2)),
% 4.16/3.05 inference(unit_resolution,[status(thm)],[3904, 260, 3901])).
% 4.16/3.05 tff(3906,plain,
% 4.16/3.05 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s44, c_t2) | (~node12(s44)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s44, c_t2) | (~node12(s44)))),
% 4.16/3.05 inference(rewrite,[status(thm)],[])).
% 4.16/3.05 tff(3907,plain,
% 4.16/3.05 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s44, c_t2) | (~node12(s44)))),
% 4.16/3.05 inference(quant_inst,[status(thm)],[])).
% 4.16/3.05 tff(3908,plain,
% 4.16/3.05 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s44, c_t2) | (~node12(s44))),
% 4.16/3.05 inference(modus_ponens,[status(thm)],[3907, 3906])).
% 4.16/3.05 tff(3909,plain,
% 4.16/3.05 (~node12(s44)),
% 4.16/3.05 inference(unit_resolution,[status(thm)],[3908, 633, 3905])).
% 4.16/3.05 tff(3910,plain,
% 4.16/3.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s43, s44)) | node7(s43, s44))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s43, s44)) | node7(s43, s44))),
% 4.16/3.05 inference(rewrite,[status(thm)],[])).
% 4.16/3.05 tff(3911,plain,
% 4.16/3.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s43, s44)) | node7(s43, s44))),
% 4.16/3.05 inference(quant_inst,[status(thm)],[])).
% 4.16/3.05 tff(3912,plain,
% 4.16/3.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s43, s44)) | node7(s43, s44)),
% 4.16/3.05 inference(modus_ponens,[status(thm)],[3911, 3910])).
% 4.16/3.05 tff(3913,plain,
% 4.16/3.05 (node7(s43, s44)),
% 4.16/3.05 inference(unit_resolution,[status(thm)],[3912, 206, 3892])).
% 4.16/3.05 tff(3914,plain,
% 4.16/3.05 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s43, c_n1)) | (~m_main_v_state2(s43, c_t2)) | (~node7(s43, s44)) | m_main_v_state1(s44, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s43, c_n1)) | (~m_main_v_state2(s43, c_t2)) | (~node7(s43, s44)) | m_main_v_state1(s44, c_t1))),
% 4.16/3.05 inference(rewrite,[status(thm)],[])).
% 4.16/3.05 tff(3915,plain,
% 4.16/3.05 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s43, c_n1)) | (~m_main_v_state2(s43, c_t2)) | (~node7(s43, s44)) | m_main_v_state1(s44, c_t1))),
% 4.16/3.05 inference(quant_inst,[status(thm)],[])).
% 4.16/3.05 tff(3916,plain,
% 4.16/3.05 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s43, c_n1)) | (~m_main_v_state2(s43, c_t2)) | (~node7(s43, s44)) | m_main_v_state1(s44, c_t1)),
% 4.16/3.05 inference(modus_ponens,[status(thm)],[3915, 3914])).
% 4.16/3.05 tff(3917,plain,
% 4.16/3.05 ((~m_main_v_state1(s43, c_n1)) | (~m_main_v_state2(s43, c_t2)) | m_main_v_state1(s44, c_t1)),
% 4.16/3.05 inference(unit_resolution,[status(thm)],[3916, 651, 3913])).
% 4.16/3.05 tff(3918,plain,
% 4.16/3.05 (m_main_v_state1(s44, c_t1)),
% 4.16/3.05 inference(unit_resolution,[status(thm)],[3917, 3845, 3881])).
% 4.16/3.05 tff(3919,plain,
% 4.16/3.05 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s44, c_n1)) | (~m_main_v_state1(s44, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s44, c_n1)) | (~m_main_v_state1(s44, c_t1)))),
% 4.16/3.05 inference(rewrite,[status(thm)],[])).
% 4.16/3.05 tff(3920,plain,
% 4.16/3.05 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s44, c_n1)) | (~m_main_v_state1(s44, c_t1)))),
% 4.16/3.05 inference(quant_inst,[status(thm)],[])).
% 4.16/3.05 tff(3921,plain,
% 4.16/3.05 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s44, c_n1)) | (~m_main_v_state1(s44, c_t1))),
% 4.16/3.05 inference(modus_ponens,[status(thm)],[3920, 3919])).
% 4.16/3.05 tff(3922,plain,
% 4.16/3.05 (~m_main_v_state1(s44, c_n1)),
% 4.16/3.05 inference(unit_resolution,[status(thm)],[3921, 10, 3918])).
% 4.16/3.05 tff(3923,plain,
% 4.16/3.05 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s44, c_n1) | (~node11(s44)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s44, c_n1) | (~node11(s44)))),
% 4.16/3.06 inference(rewrite,[status(thm)],[])).
% 4.16/3.06 tff(3924,plain,
% 4.16/3.06 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s44, c_n1) | (~node11(s44)))),
% 4.16/3.06 inference(quant_inst,[status(thm)],[])).
% 4.16/3.06 tff(3925,plain,
% 4.16/3.06 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s44, c_n1) | (~node11(s44))),
% 4.16/3.06 inference(modus_ponens,[status(thm)],[3924, 3923])).
% 4.16/3.06 tff(3926,plain,
% 4.16/3.06 (~node11(s44)),
% 4.16/3.06 inference(unit_resolution,[status(thm)],[3925, 238, 3922])).
% 4.16/3.06 tff(3927,plain,
% 4.16/3.06 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s44, c_t1)) | (~m_main_v_state1(s44, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s44, c_t1)) | (~m_main_v_state1(s44, c_c1)))),
% 4.16/3.06 inference(rewrite,[status(thm)],[])).
% 4.16/3.06 tff(3928,plain,
% 4.16/3.06 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s44, c_t1)) | (~m_main_v_state1(s44, c_c1)))),
% 4.16/3.06 inference(quant_inst,[status(thm)],[])).
% 4.16/3.06 tff(3929,plain,
% 4.16/3.06 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s44, c_t1)) | (~m_main_v_state1(s44, c_c1))),
% 4.16/3.06 inference(modus_ponens,[status(thm)],[3928, 3927])).
% 4.16/3.06 tff(3930,plain,
% 4.16/3.06 (~m_main_v_state1(s44, c_c1)),
% 4.16/3.06 inference(unit_resolution,[status(thm)],[3929, 539, 3918])).
% 4.16/3.06 tff(3931,plain,
% 4.16/3.06 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s44, c_c1) | (~node10(s44)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s44, c_c1) | (~node10(s44)))),
% 4.16/3.06 inference(rewrite,[status(thm)],[])).
% 4.16/3.06 tff(3932,plain,
% 4.16/3.06 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s44, c_c1) | (~node10(s44)))),
% 4.16/3.06 inference(quant_inst,[status(thm)],[])).
% 4.16/3.06 tff(3933,plain,
% 4.16/3.06 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s44, c_c1) | (~node10(s44))),
% 4.16/3.06 inference(modus_ponens,[status(thm)],[3932, 3931])).
% 4.16/3.06 tff(3934,plain,
% 4.16/3.06 (~node10(s44)),
% 4.16/3.06 inference(unit_resolution,[status(thm)],[3933, 675, 3930])).
% 4.16/3.06 tff(3935,plain,
% 4.16/3.06 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s44, c_n1) | (~node9(s44)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s44, c_n1) | (~node9(s44)))),
% 4.16/3.06 inference(rewrite,[status(thm)],[])).
% 4.16/3.06 tff(3936,plain,
% 4.16/3.06 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s44, c_n1) | (~node9(s44)))),
% 4.16/3.06 inference(quant_inst,[status(thm)],[])).
% 4.16/3.06 tff(3937,plain,
% 4.16/3.06 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s44, c_n1) | (~node9(s44))),
% 4.16/3.06 inference(modus_ponens,[status(thm)],[3936, 3935])).
% 4.16/3.06 tff(3938,plain,
% 4.16/3.06 (~node9(s44)),
% 4.16/3.06 inference(unit_resolution,[status(thm)],[3937, 686, 3922])).
% 4.16/3.06 tff(3939,plain,
% 4.16/3.06 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s44, c_n2)) | (~m_main_v_state2(s44, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s44, c_n2)) | (~m_main_v_state2(s44, c_c2)))),
% 4.16/3.06 inference(rewrite,[status(thm)],[])).
% 4.16/3.06 tff(3940,plain,
% 4.16/3.06 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s44, c_n2)) | (~m_main_v_state2(s44, c_c2)))),
% 4.16/3.06 inference(quant_inst,[status(thm)],[])).
% 4.16/3.06 tff(3941,plain,
% 4.16/3.06 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s44, c_n2)) | (~m_main_v_state2(s44, c_c2))),
% 4.16/3.06 inference(modus_ponens,[status(thm)],[3940, 3939])).
% 4.16/3.06 tff(3942,plain,
% 4.16/3.06 (~m_main_v_state2(s44, c_n2)),
% 4.16/3.06 inference(unit_resolution,[status(thm)],[3941, 697, 3901])).
% 4.16/3.06 tff(3943,plain,
% 4.16/3.06 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s44, c_n2) | (~node8(s44)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s44, c_n2) | (~node8(s44)))),
% 4.16/3.06 inference(rewrite,[status(thm)],[])).
% 4.16/3.06 tff(3944,plain,
% 4.16/3.06 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s44, c_n2) | (~node8(s44)))),
% 4.16/3.06 inference(quant_inst,[status(thm)],[])).
% 4.16/3.06 tff(3945,plain,
% 4.16/3.06 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s44, c_n2) | (~node8(s44))),
% 4.16/3.06 inference(modus_ponens,[status(thm)],[3944, 3943])).
% 4.16/3.06 tff(3946,plain,
% 4.16/3.06 (~node8(s44)),
% 4.16/3.06 inference(unit_resolution,[status(thm)],[3945, 271, 3942])).
% 4.16/3.06 tff(3947,plain,
% 4.16/3.06 (succ(s44, s45) <=> succ(s44, s45)),
% 4.16/3.06 inference(rewrite,[status(thm)],[])).
% 4.16/3.06 tff(3948,axiom,(succ(s44, s45)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound45')).
% 4.16/3.06 tff(3949,plain,
% 4.16/3.06 (succ(s44, s45)),
% 4.16/3.06 inference(modus_ponens,[status(thm)],[3948, 3947])).
% 4.16/3.06 tff(3950,plain,
% 4.16/3.06 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s44, s45)) | trans(s44, s45))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s44, s45)) | trans(s44, s45))),
% 4.16/3.06 inference(rewrite,[status(thm)],[])).
% 4.16/3.06 tff(3951,plain,
% 4.16/3.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s44, s45)) | trans(s44, s45))),
% 4.16/3.06 inference(quant_inst,[status(thm)],[])).
% 4.16/3.06 tff(3952,plain,
% 4.16/3.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s44, s45)) | trans(s44, s45)),
% 4.16/3.06 inference(modus_ponens,[status(thm)],[3951, 3950])).
% 4.16/3.06 tff(3953,plain,
% 4.16/3.06 (trans(s44, s45)),
% 4.16/3.06 inference(unit_resolution,[status(thm)],[3952, 3949, 32])).
% 4.16/3.06 tff(3954,plain,
% 4.16/3.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s44, s45)) | node14(s44, s45))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s44, s45)) | node14(s44, s45))),
% 4.16/3.06 inference(rewrite,[status(thm)],[])).
% 4.16/3.06 tff(3955,plain,
% 4.16/3.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s44, s45)) | node14(s44, s45))),
% 4.16/3.06 inference(quant_inst,[status(thm)],[])).
% 4.16/3.06 tff(3956,plain,
% 4.16/3.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s44, s45)) | node14(s44, s45)),
% 4.16/3.06 inference(modus_ponens,[status(thm)],[3955, 3954])).
% 4.16/3.06 tff(3957,plain,
% 4.16/3.06 (node14(s44, s45)),
% 4.16/3.06 inference(unit_resolution,[status(thm)],[3956, 46, 3953])).
% 4.16/3.06 tff(3958,plain,
% 4.16/3.06 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s45, c_n2) | node9(s44) | node8(s44) | node10(s44) | node11(s44) | node12(s44) | (~node14(s44, s45)) | (~m_main_v_state2(s44, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s45, c_n2) | node9(s44) | node8(s44) | node10(s44) | node11(s44) | node12(s44) | (~node14(s44, s45)) | (~m_main_v_state2(s44, c_c2)))),
% 4.16/3.06 inference(rewrite,[status(thm)],[])).
% 4.16/3.06 tff(3959,plain,
% 4.16/3.06 (((~m_main_v_state2(s44, c_c2)) | node9(s44) | node8(s44) | node10(s44) | node11(s44) | node12(s44) | (~node14(s44, s45)) | m_main_v_state2(s45, c_n2)) <=> (m_main_v_state2(s45, c_n2) | node9(s44) | node8(s44) | node10(s44) | node11(s44) | node12(s44) | (~node14(s44, s45)) | (~m_main_v_state2(s44, c_c2)))),
% 4.16/3.06 inference(rewrite,[status(thm)],[])).
% 4.16/3.06 tff(3960,plain,
% 4.16/3.06 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s44, c_c2)) | node9(s44) | node8(s44) | node10(s44) | node11(s44) | node12(s44) | (~node14(s44, s45)) | m_main_v_state2(s45, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s45, c_n2) | node9(s44) | node8(s44) | node10(s44) | node11(s44) | node12(s44) | (~node14(s44, s45)) | (~m_main_v_state2(s44, c_c2))))),
% 4.16/3.06 inference(monotonicity,[status(thm)],[3959])).
% 4.16/3.06 tff(3961,plain,
% 4.16/3.06 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s44, c_c2)) | node9(s44) | node8(s44) | node10(s44) | node11(s44) | node12(s44) | (~node14(s44, s45)) | m_main_v_state2(s45, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s45, c_n2) | node9(s44) | node8(s44) | node10(s44) | node11(s44) | node12(s44) | (~node14(s44, s45)) | (~m_main_v_state2(s44, c_c2)))),
% 4.22/3.06 inference(transitivity,[status(thm)],[3960, 3958])).
% 4.22/3.06 tff(3962,plain,
% 4.22/3.06 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s44, c_c2)) | node9(s44) | node8(s44) | node10(s44) | node11(s44) | node12(s44) | (~node14(s44, s45)) | m_main_v_state2(s45, c_n2))),
% 4.22/3.06 inference(quant_inst,[status(thm)],[])).
% 4.22/3.06 tff(3963,plain,
% 4.22/3.06 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s45, c_n2) | node9(s44) | node8(s44) | node10(s44) | node11(s44) | node12(s44) | (~node14(s44, s45)) | (~m_main_v_state2(s44, c_c2))),
% 4.22/3.06 inference(modus_ponens,[status(thm)],[3962, 3961])).
% 4.22/3.06 tff(3964,plain,
% 4.22/3.06 (m_main_v_state2(s45, c_n2) | node9(s44) | node8(s44) | node10(s44) | node11(s44) | node12(s44) | (~m_main_v_state2(s44, c_c2))),
% 4.22/3.06 inference(unit_resolution,[status(thm)],[3963, 726, 3957])).
% 4.22/3.06 tff(3965,plain,
% 4.22/3.06 (m_main_v_state2(s45, c_n2)),
% 4.22/3.06 inference(unit_resolution,[status(thm)],[3964, 3946, 3901, 3938, 3934, 3926, 3909])).
% 4.22/3.06 tff(3966,plain,
% 4.22/3.06 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s45, c_n2)) | (~m_main_v_state2(s45, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s45, c_n2)) | (~m_main_v_state2(s45, c_c2)))),
% 4.22/3.06 inference(rewrite,[status(thm)],[])).
% 4.22/3.06 tff(3967,plain,
% 4.22/3.06 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s45, c_n2)) | (~m_main_v_state2(s45, c_c2)))),
% 4.22/3.06 inference(quant_inst,[status(thm)],[])).
% 4.22/3.06 tff(3968,plain,
% 4.22/3.06 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s45, c_n2)) | (~m_main_v_state2(s45, c_c2))),
% 4.22/3.06 inference(modus_ponens,[status(thm)],[3967, 3966])).
% 4.22/3.06 tff(3969,plain,
% 4.22/3.06 (~m_main_v_state2(s45, c_c2)),
% 4.22/3.06 inference(unit_resolution,[status(thm)],[3968, 697, 3965])).
% 4.22/3.06 tff(3970,plain,
% 4.22/3.06 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s45, c_c2) | (~node3(s45)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s45, c_c2) | (~node3(s45)))),
% 4.22/3.06 inference(rewrite,[status(thm)],[])).
% 4.22/3.06 tff(3971,plain,
% 4.22/3.06 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s45, c_c2) | (~node3(s45)))),
% 4.22/3.06 inference(quant_inst,[status(thm)],[])).
% 4.22/3.06 tff(3972,plain,
% 4.22/3.06 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s45, c_c2) | (~node3(s45))),
% 4.22/3.06 inference(modus_ponens,[status(thm)],[3971, 3970])).
% 4.22/3.06 tff(3973,plain,
% 4.22/3.06 (~node3(s45)),
% 4.22/3.06 inference(unit_resolution,[status(thm)],[3972, 399, 3969])).
% 4.22/3.06 tff(3974,plain,
% 4.22/3.06 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s44, c_n1) | (~node1(s44)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s44, c_n1) | (~node1(s44)))),
% 4.22/3.06 inference(rewrite,[status(thm)],[])).
% 4.22/3.06 tff(3975,plain,
% 4.22/3.06 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s44, c_n1) | (~node1(s44)))),
% 4.22/3.06 inference(quant_inst,[status(thm)],[])).
% 4.22/3.06 tff(3976,plain,
% 4.22/3.06 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s44, c_n1) | (~node1(s44))),
% 4.22/3.06 inference(modus_ponens,[status(thm)],[3975, 3974])).
% 4.22/3.06 tff(3977,plain,
% 4.22/3.06 (~node1(s44)),
% 4.22/3.06 inference(unit_resolution,[status(thm)],[3976, 421, 3922])).
% 4.22/3.06 tff(3978,plain,
% 4.22/3.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s43, s44)) | node18(s43, s44))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s43, s44)) | node18(s43, s44))),
% 4.22/3.06 inference(rewrite,[status(thm)],[])).
% 4.22/3.06 tff(3979,plain,
% 4.22/3.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s43, s44)) | node18(s43, s44))),
% 4.22/3.06 inference(quant_inst,[status(thm)],[])).
% 4.22/3.06 tff(3980,plain,
% 4.22/3.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s43, s44)) | node18(s43, s44)),
% 4.22/3.06 inference(modus_ponens,[status(thm)],[3979, 3978])).
% 4.22/3.06 tff(3981,plain,
% 4.22/3.06 (node18(s43, s44)),
% 4.22/3.06 inference(unit_resolution,[status(thm)],[3980, 125, 3892])).
% 4.22/3.06 tff(3982,plain,
% 4.22/3.06 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s43, c_n1)) | (~m_main_v_state2(s43, c_t2)) | (~node18(s43, s44)) | m_main_v_turn(s44, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s43, c_n1)) | (~m_main_v_state2(s43, c_t2)) | (~node18(s43, s44)) | m_main_v_turn(s44, c_2))),
% 4.22/3.06 inference(rewrite,[status(thm)],[])).
% 4.22/3.06 tff(3983,plain,
% 4.22/3.06 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s43, c_n1)) | (~m_main_v_state2(s43, c_t2)) | (~node18(s43, s44)) | m_main_v_turn(s44, c_2))),
% 4.22/3.06 inference(quant_inst,[status(thm)],[])).
% 4.22/3.06 tff(3984,plain,
% 4.22/3.06 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s43, c_n1)) | (~m_main_v_state2(s43, c_t2)) | (~node18(s43, s44)) | m_main_v_turn(s44, c_2)),
% 4.22/3.06 inference(modus_ponens,[status(thm)],[3983, 3982])).
% 4.22/3.06 tff(3985,plain,
% 4.22/3.06 ((~m_main_v_state1(s43, c_n1)) | (~m_main_v_state2(s43, c_t2)) | m_main_v_turn(s44, c_2)),
% 4.22/3.06 inference(unit_resolution,[status(thm)],[3984, 760, 3981])).
% 4.22/3.06 tff(3986,plain,
% 4.22/3.06 (m_main_v_turn(s44, c_2)),
% 4.22/3.06 inference(unit_resolution,[status(thm)],[3985, 3845, 3881])).
% 4.22/3.06 tff(3987,plain,
% 4.22/3.06 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s44, c_1)) | (~m_main_v_turn(s44, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s44, c_1)) | (~m_main_v_turn(s44, c_2)))),
% 4.22/3.06 inference(rewrite,[status(thm)],[])).
% 4.22/3.06 tff(3988,plain,
% 4.22/3.06 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s44, c_1)) | (~m_main_v_turn(s44, c_2)))),
% 4.22/3.06 inference(quant_inst,[status(thm)],[])).
% 4.22/3.06 tff(3989,plain,
% 4.22/3.06 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s44, c_1)) | (~m_main_v_turn(s44, c_2))),
% 4.22/3.06 inference(modus_ponens,[status(thm)],[3988, 3987])).
% 4.22/3.06 tff(3990,plain,
% 4.22/3.06 (~m_main_v_turn(s44, c_1)),
% 4.22/3.06 inference(unit_resolution,[status(thm)],[3989, 156, 3986])).
% 4.22/3.06 tff(3991,plain,
% 4.22/3.06 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s44, c_1) | (~node5(s44)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s44, c_1) | (~node5(s44)))),
% 4.22/3.06 inference(rewrite,[status(thm)],[])).
% 4.22/3.06 tff(3992,plain,
% 4.22/3.06 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s44, c_1) | (~node5(s44)))),
% 4.22/3.06 inference(quant_inst,[status(thm)],[])).
% 4.22/3.06 tff(3993,plain,
% 4.22/3.06 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s44, c_1) | (~node5(s44))),
% 4.22/3.06 inference(modus_ponens,[status(thm)],[3992, 3991])).
% 4.22/3.06 tff(3994,plain,
% 4.22/3.06 (~node5(s44)),
% 4.22/3.06 inference(unit_resolution,[status(thm)],[3993, 776, 3990])).
% 4.22/3.06 tff(3995,plain,
% 4.22/3.06 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s44, c_n1) | (~node2(s44)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s44, c_n1) | (~node2(s44)))),
% 4.22/3.06 inference(rewrite,[status(thm)],[])).
% 4.22/3.06 tff(3996,plain,
% 4.22/3.06 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s44, c_n1) | (~node2(s44)))),
% 4.22/3.06 inference(quant_inst,[status(thm)],[])).
% 4.22/3.06 tff(3997,plain,
% 4.22/3.06 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s44, c_n1) | (~node2(s44))),
% 4.22/3.06 inference(modus_ponens,[status(thm)],[3996, 3995])).
% 4.22/3.06 tff(3998,plain,
% 4.22/3.06 (~node2(s44)),
% 4.22/3.06 inference(unit_resolution,[status(thm)],[3997, 787, 3922])).
% 4.22/3.06 tff(3999,plain,
% 4.22/3.06 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s44, c_n1) | (~node3(s44)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s44, c_n1) | (~node3(s44)))),
% 4.22/3.06 inference(rewrite,[status(thm)],[])).
% 4.22/3.06 tff(4000,plain,
% 4.22/3.06 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s44, c_n1) | (~node3(s44)))),
% 4.22/3.06 inference(quant_inst,[status(thm)],[])).
% 4.22/3.06 tff(4001,plain,
% 4.22/3.06 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s44, c_n1) | (~node3(s44))),
% 4.22/3.06 inference(modus_ponens,[status(thm)],[4000, 3999])).
% 4.22/3.06 tff(4002,plain,
% 4.22/3.06 (~node3(s44)),
% 4.22/3.06 inference(unit_resolution,[status(thm)],[4001, 798, 3922])).
% 4.22/3.06 tff(4003,plain,
% 4.22/3.06 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s44, c_n2) | (~node4(s44)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s44, c_n2) | (~node4(s44)))),
% 4.22/3.06 inference(rewrite,[status(thm)],[])).
% 4.22/3.06 tff(4004,plain,
% 4.22/3.06 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s44, c_n2) | (~node4(s44)))),
% 4.22/3.06 inference(quant_inst,[status(thm)],[])).
% 4.22/3.06 tff(4005,plain,
% 4.22/3.06 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s44, c_n2) | (~node4(s44))),
% 4.22/3.06 inference(modus_ponens,[status(thm)],[4004, 4003])).
% 4.22/3.06 tff(4006,plain,
% 4.22/3.06 (~node4(s44)),
% 4.22/3.06 inference(unit_resolution,[status(thm)],[4005, 388, 3942])).
% 4.22/3.06 tff(4007,plain,
% 4.22/3.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s44, s45)) | node7(s44, s45))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s44, s45)) | node7(s44, s45))),
% 4.22/3.06 inference(rewrite,[status(thm)],[])).
% 4.22/3.06 tff(4008,plain,
% 4.22/3.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s44, s45)) | node7(s44, s45))),
% 4.22/3.06 inference(quant_inst,[status(thm)],[])).
% 4.22/3.06 tff(4009,plain,
% 4.22/3.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s44, s45)) | node7(s44, s45)),
% 4.22/3.06 inference(modus_ponens,[status(thm)],[4008, 4007])).
% 4.22/3.06 tff(4010,plain,
% 4.22/3.06 (node7(s44, s45)),
% 4.22/3.06 inference(unit_resolution,[status(thm)],[4009, 206, 3953])).
% 4.22/3.06 tff(4011,plain,
% 4.22/3.06 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s44, c_c1) | node1(s44) | node2(s44) | node3(s44) | node4(s44) | node5(s44) | node6(s44, s45) | (~node7(s44, s45)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s44, c_c1) | node1(s44) | node2(s44) | node3(s44) | node4(s44) | node5(s44) | node6(s44, s45) | (~node7(s44, s45)))),
% 4.22/3.06 inference(rewrite,[status(thm)],[])).
% 4.22/3.06 tff(4012,plain,
% 4.22/3.06 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s44, c_c1) | node1(s44) | node2(s44) | node3(s44) | node4(s44) | node5(s44) | node6(s44, s45) | (~node7(s44, s45)))),
% 4.22/3.06 inference(quant_inst,[status(thm)],[])).
% 4.22/3.06 tff(4013,plain,
% 4.22/3.06 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s44, c_c1) | node1(s44) | node2(s44) | node3(s44) | node4(s44) | node5(s44) | node6(s44, s45) | (~node7(s44, s45))),
% 4.22/3.06 inference(modus_ponens,[status(thm)],[4012, 4011])).
% 4.22/3.06 tff(4014,plain,
% 4.22/3.06 (m_main_v_state1(s44, c_c1) | node1(s44) | node2(s44) | node3(s44) | node4(s44) | node5(s44) | node6(s44, s45)),
% 4.22/3.06 inference(unit_resolution,[status(thm)],[4013, 820, 4010])).
% 4.22/3.06 tff(4015,plain,
% 4.22/3.06 (node6(s44, s45)),
% 4.22/3.06 inference(unit_resolution,[status(thm)],[4014, 4006, 3930, 4002, 3998, 3994, 3977])).
% 4.22/3.06 tff(4016,plain,
% 4.22/3.06 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s44, c_n1) | (~m_main_v_state1(s45, c_n1)) | (~node6(s44, s45)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s44, c_n1) | (~m_main_v_state1(s45, c_n1)) | (~node6(s44, s45)))),
% 4.22/3.06 inference(rewrite,[status(thm)],[])).
% 4.22/3.06 tff(4017,plain,
% 4.22/3.06 (((~node6(s44, s45)) | m_main_v_state1(s44, c_n1) | (~m_main_v_state1(s45, c_n1))) <=> (m_main_v_state1(s44, c_n1) | (~m_main_v_state1(s45, c_n1)) | (~node6(s44, s45)))),
% 4.22/3.06 inference(rewrite,[status(thm)],[])).
% 4.22/3.06 tff(4018,plain,
% 4.22/3.06 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s44, s45)) | m_main_v_state1(s44, c_n1) | (~m_main_v_state1(s45, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s44, c_n1) | (~m_main_v_state1(s45, c_n1)) | (~node6(s44, s45))))),
% 4.22/3.06 inference(monotonicity,[status(thm)],[4017])).
% 4.22/3.06 tff(4019,plain,
% 4.22/3.06 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s44, s45)) | m_main_v_state1(s44, c_n1) | (~m_main_v_state1(s45, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s44, c_n1) | (~m_main_v_state1(s45, c_n1)) | (~node6(s44, s45)))),
% 4.22/3.06 inference(transitivity,[status(thm)],[4018, 4016])).
% 4.22/3.06 tff(4020,plain,
% 4.22/3.06 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s44, s45)) | m_main_v_state1(s44, c_n1) | (~m_main_v_state1(s45, c_n1)))),
% 4.22/3.06 inference(quant_inst,[status(thm)],[])).
% 4.22/3.06 tff(4021,plain,
% 4.22/3.06 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s44, c_n1) | (~m_main_v_state1(s45, c_n1)) | (~node6(s44, s45))),
% 4.22/3.06 inference(modus_ponens,[status(thm)],[4020, 4019])).
% 4.22/3.06 tff(4022,plain,
% 4.22/3.06 (~m_main_v_state1(s45, c_n1)),
% 4.22/3.06 inference(unit_resolution,[status(thm)],[4021, 835, 3922, 4015])).
% 4.22/3.06 tff(4023,plain,
% 4.22/3.06 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s45, c_n1) | (~node2(s45)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s45, c_n1) | (~node2(s45)))),
% 4.22/3.06 inference(rewrite,[status(thm)],[])).
% 4.22/3.06 tff(4024,plain,
% 4.22/3.06 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s45, c_n1) | (~node2(s45)))),
% 4.22/3.06 inference(quant_inst,[status(thm)],[])).
% 4.22/3.06 tff(4025,plain,
% 4.22/3.06 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s45, c_n1) | (~node2(s45))),
% 4.22/3.06 inference(modus_ponens,[status(thm)],[4024, 4023])).
% 4.22/3.06 tff(4026,plain,
% 4.22/3.06 (~node2(s45)),
% 4.22/3.06 inference(unit_resolution,[status(thm)],[4025, 787, 4022])).
% 4.22/3.06 tff(4027,plain,
% 4.22/3.06 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s44, c_t1)) | m_main_v_state1(s45, c_t1) | (~node6(s44, s45)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s44, c_t1)) | m_main_v_state1(s45, c_t1) | (~node6(s44, s45)))),
% 4.22/3.06 inference(rewrite,[status(thm)],[])).
% 4.22/3.06 tff(4028,plain,
% 4.22/3.06 (((~node6(s44, s45)) | (~m_main_v_state1(s44, c_t1)) | m_main_v_state1(s45, c_t1)) <=> ((~m_main_v_state1(s44, c_t1)) | m_main_v_state1(s45, c_t1) | (~node6(s44, s45)))),
% 4.22/3.06 inference(rewrite,[status(thm)],[])).
% 4.22/3.06 tff(4029,plain,
% 4.22/3.06 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s44, s45)) | (~m_main_v_state1(s44, c_t1)) | m_main_v_state1(s45, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s44, c_t1)) | m_main_v_state1(s45, c_t1) | (~node6(s44, s45))))),
% 4.22/3.06 inference(monotonicity,[status(thm)],[4028])).
% 4.22/3.06 tff(4030,plain,
% 4.22/3.06 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s44, s45)) | (~m_main_v_state1(s44, c_t1)) | m_main_v_state1(s45, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s44, c_t1)) | m_main_v_state1(s45, c_t1) | (~node6(s44, s45)))),
% 4.22/3.06 inference(transitivity,[status(thm)],[4029, 4027])).
% 4.22/3.06 tff(4031,plain,
% 4.22/3.06 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s44, s45)) | (~m_main_v_state1(s44, c_t1)) | m_main_v_state1(s45, c_t1))),
% 4.22/3.06 inference(quant_inst,[status(thm)],[])).
% 4.22/3.06 tff(4032,plain,
% 4.22/3.06 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s44, c_t1)) | m_main_v_state1(s45, c_t1) | (~node6(s44, s45))),
% 4.22/3.06 inference(modus_ponens,[status(thm)],[4031, 4030])).
% 4.22/3.06 tff(4033,plain,
% 4.22/3.06 (m_main_v_state1(s45, c_t1)),
% 4.22/3.06 inference(unit_resolution,[status(thm)],[4032, 856, 3918, 4015])).
% 4.22/3.06 tff(4034,plain,
% 4.22/3.06 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s45, c_n2)) | (~m_main_v_state2(s45, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s45, c_n2)) | (~m_main_v_state2(s45, c_t2)))),
% 4.22/3.06 inference(rewrite,[status(thm)],[])).
% 4.22/3.06 tff(4035,plain,
% 4.22/3.06 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s45, c_n2)) | (~m_main_v_state2(s45, c_t2)))),
% 4.22/3.06 inference(quant_inst,[status(thm)],[])).
% 4.22/3.06 tff(4036,plain,
% 4.22/3.06 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s45, c_n2)) | (~m_main_v_state2(s45, c_t2))),
% 4.22/3.06 inference(modus_ponens,[status(thm)],[4035, 4034])).
% 4.22/3.06 tff(4037,plain,
% 4.22/3.06 (~m_main_v_state2(s45, c_t2)),
% 4.22/3.06 inference(unit_resolution,[status(thm)],[4036, 77, 3965])).
% 4.22/3.06 tff(4038,plain,
% 4.22/3.06 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s45, c_t2) | (~node1(s45)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s45, c_t2) | (~node1(s45)))),
% 4.22/3.06 inference(rewrite,[status(thm)],[])).
% 4.22/3.06 tff(4039,plain,
% 4.22/3.06 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s45, c_t2) | (~node1(s45)))),
% 4.22/3.06 inference(quant_inst,[status(thm)],[])).
% 4.22/3.06 tff(4040,plain,
% 4.22/3.06 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s45, c_t2) | (~node1(s45))),
% 4.22/3.06 inference(modus_ponens,[status(thm)],[4039, 4038])).
% 4.22/3.06 tff(4041,plain,
% 4.22/3.06 (~node1(s45)),
% 4.22/3.06 inference(unit_resolution,[status(thm)],[4040, 195, 4037])).
% 4.22/3.06 tff(4042,plain,
% 4.22/3.06 (succ(s45, s46) <=> succ(s45, s46)),
% 4.22/3.06 inference(rewrite,[status(thm)],[])).
% 4.22/3.06 tff(4043,axiom,(succ(s45, s46)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound46')).
% 4.22/3.06 tff(4044,plain,
% 4.22/3.06 (succ(s45, s46)),
% 4.22/3.06 inference(modus_ponens,[status(thm)],[4043, 4042])).
% 4.22/3.06 tff(4045,plain,
% 4.22/3.06 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s45, s46)) | trans(s45, s46))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s45, s46)) | trans(s45, s46))),
% 4.22/3.06 inference(rewrite,[status(thm)],[])).
% 4.22/3.06 tff(4046,plain,
% 4.22/3.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s45, s46)) | trans(s45, s46))),
% 4.22/3.06 inference(quant_inst,[status(thm)],[])).
% 4.22/3.06 tff(4047,plain,
% 4.22/3.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s45, s46)) | trans(s45, s46)),
% 4.22/3.06 inference(modus_ponens,[status(thm)],[4046, 4045])).
% 4.22/3.06 tff(4048,plain,
% 4.22/3.06 (trans(s45, s46)),
% 4.22/3.06 inference(unit_resolution,[status(thm)],[4047, 4044, 32])).
% 4.22/3.06 tff(4049,plain,
% 4.22/3.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s45, s46)) | node7(s45, s46))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s45, s46)) | node7(s45, s46))),
% 4.22/3.06 inference(rewrite,[status(thm)],[])).
% 4.22/3.06 tff(4050,plain,
% 4.22/3.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s45, s46)) | node7(s45, s46))),
% 4.22/3.06 inference(quant_inst,[status(thm)],[])).
% 4.22/3.06 tff(4051,plain,
% 4.22/3.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s45, s46)) | node7(s45, s46)),
% 4.22/3.06 inference(modus_ponens,[status(thm)],[4050, 4049])).
% 4.22/3.06 tff(4052,plain,
% 4.22/3.06 (node7(s45, s46)),
% 4.22/3.06 inference(unit_resolution,[status(thm)],[4051, 206, 4048])).
% 4.22/3.07 tff(4053,plain,
% 4.22/3.07 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s45, c_t1)) | (~m_main_v_state2(s45, c_n2)) | m_main_v_state1(s46, c_c1) | node1(s45) | node2(s45) | node3(s45) | (~node7(s45, s46)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s45, c_t1)) | (~m_main_v_state2(s45, c_n2)) | m_main_v_state1(s46, c_c1) | node1(s45) | node2(s45) | node3(s45) | (~node7(s45, s46)))),
% 4.22/3.07 inference(rewrite,[status(thm)],[])).
% 4.22/3.07 tff(4054,plain,
% 4.22/3.07 (((~m_main_v_state1(s45, c_t1)) | (~m_main_v_state2(s45, c_n2)) | node1(s45) | node2(s45) | node3(s45) | (~node7(s45, s46)) | m_main_v_state1(s46, c_c1)) <=> ((~m_main_v_state1(s45, c_t1)) | (~m_main_v_state2(s45, c_n2)) | m_main_v_state1(s46, c_c1) | node1(s45) | node2(s45) | node3(s45) | (~node7(s45, s46)))),
% 4.22/3.07 inference(rewrite,[status(thm)],[])).
% 4.22/3.07 tff(4055,plain,
% 4.22/3.07 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s45, c_t1)) | (~m_main_v_state2(s45, c_n2)) | node1(s45) | node2(s45) | node3(s45) | (~node7(s45, s46)) | m_main_v_state1(s46, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s45, c_t1)) | (~m_main_v_state2(s45, c_n2)) | m_main_v_state1(s46, c_c1) | node1(s45) | node2(s45) | node3(s45) | (~node7(s45, s46))))),
% 4.22/3.07 inference(monotonicity,[status(thm)],[4054])).
% 4.22/3.07 tff(4056,plain,
% 4.22/3.07 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s45, c_t1)) | (~m_main_v_state2(s45, c_n2)) | node1(s45) | node2(s45) | node3(s45) | (~node7(s45, s46)) | m_main_v_state1(s46, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s45, c_t1)) | (~m_main_v_state2(s45, c_n2)) | m_main_v_state1(s46, c_c1) | node1(s45) | node2(s45) | node3(s45) | (~node7(s45, s46)))),
% 4.22/3.07 inference(transitivity,[status(thm)],[4055, 4053])).
% 4.22/3.07 tff(4057,plain,
% 4.22/3.07 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s45, c_t1)) | (~m_main_v_state2(s45, c_n2)) | node1(s45) | node2(s45) | node3(s45) | (~node7(s45, s46)) | m_main_v_state1(s46, c_c1))),
% 4.22/3.07 inference(quant_inst,[status(thm)],[])).
% 4.22/3.07 tff(4058,plain,
% 4.22/3.07 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s45, c_t1)) | (~m_main_v_state2(s45, c_n2)) | m_main_v_state1(s46, c_c1) | node1(s45) | node2(s45) | node3(s45) | (~node7(s45, s46))),
% 4.22/3.07 inference(modus_ponens,[status(thm)],[4057, 4056])).
% 4.22/3.07 tff(4059,plain,
% 4.22/3.07 ((~m_main_v_state1(s45, c_t1)) | (~m_main_v_state2(s45, c_n2)) | m_main_v_state1(s46, c_c1) | node1(s45) | node2(s45) | node3(s45)),
% 4.22/3.07 inference(unit_resolution,[status(thm)],[4058, 892, 4052])).
% 4.22/3.07 tff(4060,plain,
% 4.22/3.07 (m_main_v_state1(s46, c_c1)),
% 4.22/3.07 inference(unit_resolution,[status(thm)],[4059, 4041, 3965, 4033, 4026, 3973])).
% 4.22/3.07 tff(4061,plain,
% 4.22/3.07 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s46, c_t1)) | (~m_main_v_state1(s46, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s46, c_t1)) | (~m_main_v_state1(s46, c_c1)))),
% 4.22/3.07 inference(rewrite,[status(thm)],[])).
% 4.22/3.07 tff(4062,plain,
% 4.22/3.07 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s46, c_t1)) | (~m_main_v_state1(s46, c_c1)))),
% 4.22/3.07 inference(quant_inst,[status(thm)],[])).
% 4.22/3.07 tff(4063,plain,
% 4.22/3.07 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s46, c_t1)) | (~m_main_v_state1(s46, c_c1))),
% 4.22/3.07 inference(modus_ponens,[status(thm)],[4062, 4061])).
% 4.22/3.07 tff(4064,plain,
% 4.22/3.07 (~m_main_v_state1(s46, c_t1)),
% 4.22/3.07 inference(unit_resolution,[status(thm)],[4063, 539, 4060])).
% 4.22/3.07 tff(4065,plain,
% 4.22/3.07 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s46, c_t1) | (~node5(s46)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s46, c_t1) | (~node5(s46)))),
% 4.22/3.07 inference(rewrite,[status(thm)],[])).
% 4.22/3.07 tff(4066,plain,
% 4.22/3.07 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s46, c_t1) | (~node5(s46)))),
% 4.22/3.07 inference(quant_inst,[status(thm)],[])).
% 4.22/3.07 tff(4067,plain,
% 4.22/3.07 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s46, c_t1) | (~node5(s46))),
% 4.22/3.07 inference(modus_ponens,[status(thm)],[4066, 4065])).
% 4.22/3.07 tff(4068,plain,
% 4.22/3.07 (~node5(s46)),
% 4.22/3.07 inference(unit_resolution,[status(thm)],[4067, 550, 4064])).
% 4.22/3.07 tff(4069,plain,
% 4.22/3.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s45, s46)) | node14(s45, s46))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s45, s46)) | node14(s45, s46))),
% 4.22/3.07 inference(rewrite,[status(thm)],[])).
% 4.22/3.07 tff(4070,plain,
% 4.22/3.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s45, s46)) | node14(s45, s46))),
% 4.22/3.07 inference(quant_inst,[status(thm)],[])).
% 4.22/3.07 tff(4071,plain,
% 4.22/3.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s45, s46)) | node14(s45, s46)),
% 4.22/3.07 inference(modus_ponens,[status(thm)],[4070, 4069])).
% 4.22/3.07 tff(4072,plain,
% 4.22/3.07 (node14(s45, s46)),
% 4.22/3.07 inference(unit_resolution,[status(thm)],[4071, 46, 4048])).
% 4.22/3.07 tff(4073,plain,
% 4.22/3.07 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s45, c_t1)) | (~m_main_v_state2(s45, c_n2)) | (~node14(s45, s46)) | m_main_v_state2(s46, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s45, c_t1)) | (~m_main_v_state2(s45, c_n2)) | (~node14(s45, s46)) | m_main_v_state2(s46, c_t2))),
% 4.22/3.07 inference(rewrite,[status(thm)],[])).
% 4.22/3.07 tff(4074,plain,
% 4.22/3.07 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s45, c_t1)) | (~m_main_v_state2(s45, c_n2)) | (~node14(s45, s46)) | m_main_v_state2(s46, c_t2))),
% 4.22/3.07 inference(quant_inst,[status(thm)],[])).
% 4.22/3.07 tff(4075,plain,
% 4.22/3.07 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s45, c_t1)) | (~m_main_v_state2(s45, c_n2)) | (~node14(s45, s46)) | m_main_v_state2(s46, c_t2)),
% 4.22/3.07 inference(modus_ponens,[status(thm)],[4074, 4073])).
% 4.22/3.07 tff(4076,plain,
% 4.22/3.07 ((~m_main_v_state1(s45, c_t1)) | (~m_main_v_state2(s45, c_n2)) | m_main_v_state2(s46, c_t2)),
% 4.22/3.07 inference(unit_resolution,[status(thm)],[4075, 922, 4072])).
% 4.22/3.07 tff(4077,plain,
% 4.22/3.07 (m_main_v_state2(s46, c_t2)),
% 4.22/3.07 inference(unit_resolution,[status(thm)],[4076, 4033, 3965])).
% 4.22/3.07 tff(4078,plain,
% 4.22/3.07 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s46, c_n2)) | (~m_main_v_state2(s46, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s46, c_n2)) | (~m_main_v_state2(s46, c_t2)))),
% 4.22/3.07 inference(rewrite,[status(thm)],[])).
% 4.22/3.07 tff(4079,plain,
% 4.22/3.07 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s46, c_n2)) | (~m_main_v_state2(s46, c_t2)))),
% 4.22/3.07 inference(quant_inst,[status(thm)],[])).
% 4.22/3.07 tff(4080,plain,
% 4.22/3.07 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s46, c_n2)) | (~m_main_v_state2(s46, c_t2))),
% 4.22/3.07 inference(modus_ponens,[status(thm)],[4079, 4078])).
% 4.22/3.07 tff(4081,plain,
% 4.22/3.07 (~m_main_v_state2(s46, c_n2)),
% 4.22/3.07 inference(unit_resolution,[status(thm)],[4080, 77, 4077])).
% 4.22/3.07 tff(4082,plain,
% 4.22/3.07 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s46, c_n2) | (~node4(s46)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s46, c_n2) | (~node4(s46)))),
% 4.22/3.07 inference(rewrite,[status(thm)],[])).
% 4.22/3.07 tff(4083,plain,
% 4.22/3.07 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s46, c_n2) | (~node4(s46)))),
% 4.22/3.07 inference(quant_inst,[status(thm)],[])).
% 4.22/3.07 tff(4084,plain,
% 4.22/3.07 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s46, c_n2) | (~node4(s46))),
% 4.22/3.07 inference(modus_ponens,[status(thm)],[4083, 4082])).
% 4.22/3.07 tff(4085,plain,
% 4.22/3.07 (~node4(s46)),
% 4.22/3.07 inference(unit_resolution,[status(thm)],[4084, 388, 4081])).
% 4.22/3.07 tff(4086,plain,
% 4.22/3.07 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s46, c_t2)) | (~m_main_v_state2(s46, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s46, c_t2)) | (~m_main_v_state2(s46, c_c2)))),
% 4.22/3.07 inference(rewrite,[status(thm)],[])).
% 4.22/3.07 tff(4087,plain,
% 4.22/3.07 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s46, c_t2)) | (~m_main_v_state2(s46, c_c2)))),
% 4.22/3.07 inference(quant_inst,[status(thm)],[])).
% 4.22/3.07 tff(4088,plain,
% 4.22/3.07 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s46, c_t2)) | (~m_main_v_state2(s46, c_c2))),
% 4.22/3.07 inference(modus_ponens,[status(thm)],[4087, 4086])).
% 4.22/3.07 tff(4089,plain,
% 4.22/3.07 (~m_main_v_state2(s46, c_c2)),
% 4.22/3.07 inference(unit_resolution,[status(thm)],[4088, 260, 4077])).
% 4.22/3.07 tff(4090,plain,
% 4.22/3.07 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s46, c_c2) | (~node3(s46)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s46, c_c2) | (~node3(s46)))),
% 4.22/3.07 inference(rewrite,[status(thm)],[])).
% 4.22/3.07 tff(4091,plain,
% 4.22/3.07 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s46, c_c2) | (~node3(s46)))),
% 4.22/3.07 inference(quant_inst,[status(thm)],[])).
% 4.22/3.07 tff(4092,plain,
% 4.22/3.07 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s46, c_c2) | (~node3(s46))),
% 4.22/3.07 inference(modus_ponens,[status(thm)],[4091, 4090])).
% 4.22/3.07 tff(4093,plain,
% 4.22/3.07 (~node3(s46)),
% 4.22/3.07 inference(unit_resolution,[status(thm)],[4092, 399, 4089])).
% 4.22/3.07 tff(4094,plain,
% 4.22/3.07 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s46, c_n2) | (~node2(s46)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s46, c_n2) | (~node2(s46)))),
% 4.22/3.07 inference(rewrite,[status(thm)],[])).
% 4.22/3.07 tff(4095,plain,
% 4.22/3.07 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s46, c_n2) | (~node2(s46)))),
% 4.22/3.07 inference(quant_inst,[status(thm)],[])).
% 4.22/3.07 tff(4096,plain,
% 4.22/3.07 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s46, c_n2) | (~node2(s46))),
% 4.22/3.07 inference(modus_ponens,[status(thm)],[4095, 4094])).
% 4.22/3.07 tff(4097,plain,
% 4.22/3.07 (~node2(s46)),
% 4.22/3.07 inference(unit_resolution,[status(thm)],[4096, 410, 4081])).
% 4.22/3.07 tff(4098,plain,
% 4.22/3.07 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s46, c_n1)) | (~m_main_v_state1(s46, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s46, c_n1)) | (~m_main_v_state1(s46, c_c1)))),
% 4.22/3.07 inference(rewrite,[status(thm)],[])).
% 4.22/3.07 tff(4099,plain,
% 4.22/3.07 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s46, c_n1)) | (~m_main_v_state1(s46, c_c1)))),
% 4.22/3.07 inference(quant_inst,[status(thm)],[])).
% 4.22/3.07 tff(4100,plain,
% 4.22/3.07 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s46, c_n1)) | (~m_main_v_state1(s46, c_c1))),
% 4.22/3.07 inference(modus_ponens,[status(thm)],[4099, 4098])).
% 4.22/3.07 tff(4101,plain,
% 4.22/3.07 (~m_main_v_state1(s46, c_n1)),
% 4.22/3.07 inference(unit_resolution,[status(thm)],[4100, 454, 4060])).
% 4.22/3.07 tff(4102,plain,
% 4.22/3.07 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s46, c_n1) | (~node1(s46)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s46, c_n1) | (~node1(s46)))),
% 4.22/3.07 inference(rewrite,[status(thm)],[])).
% 4.22/3.07 tff(4103,plain,
% 4.22/3.07 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s46, c_n1) | (~node1(s46)))),
% 4.22/3.07 inference(quant_inst,[status(thm)],[])).
% 4.22/3.07 tff(4104,plain,
% 4.22/3.07 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s46, c_n1) | (~node1(s46))),
% 4.22/3.07 inference(modus_ponens,[status(thm)],[4103, 4102])).
% 4.22/3.07 tff(4105,plain,
% 4.22/3.07 (~node1(s46)),
% 4.22/3.07 inference(unit_resolution,[status(thm)],[4104, 421, 4101])).
% 4.22/3.07 tff(4106,plain,
% 4.22/3.07 (succ(s46, s47) <=> succ(s46, s47)),
% 4.22/3.07 inference(rewrite,[status(thm)],[])).
% 4.22/3.07 tff(4107,axiom,(succ(s46, s47)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound47')).
% 4.22/3.07 tff(4108,plain,
% 4.22/3.07 (succ(s46, s47)),
% 4.22/3.07 inference(modus_ponens,[status(thm)],[4107, 4106])).
% 4.22/3.07 tff(4109,plain,
% 4.22/3.07 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s46, s47)) | trans(s46, s47))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s46, s47)) | trans(s46, s47))),
% 4.22/3.07 inference(rewrite,[status(thm)],[])).
% 4.22/3.07 tff(4110,plain,
% 4.22/3.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s46, s47)) | trans(s46, s47))),
% 4.22/3.07 inference(quant_inst,[status(thm)],[])).
% 4.22/3.07 tff(4111,plain,
% 4.22/3.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s46, s47)) | trans(s46, s47)),
% 4.22/3.07 inference(modus_ponens,[status(thm)],[4110, 4109])).
% 4.22/3.07 tff(4112,plain,
% 4.22/3.07 (trans(s46, s47)),
% 4.22/3.07 inference(unit_resolution,[status(thm)],[4111, 4108, 32])).
% 4.22/3.07 tff(4113,plain,
% 4.22/3.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s46, s47)) | node7(s46, s47))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s46, s47)) | node7(s46, s47))),
% 4.22/3.07 inference(rewrite,[status(thm)],[])).
% 4.22/3.07 tff(4114,plain,
% 4.22/3.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s46, s47)) | node7(s46, s47))),
% 4.22/3.07 inference(quant_inst,[status(thm)],[])).
% 4.22/3.07 tff(4115,plain,
% 4.22/3.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s46, s47)) | node7(s46, s47)),
% 4.22/3.07 inference(modus_ponens,[status(thm)],[4114, 4113])).
% 4.22/3.07 tff(4116,plain,
% 4.22/3.07 (node7(s46, s47)),
% 4.22/3.07 inference(unit_resolution,[status(thm)],[4115, 206, 4112])).
% 4.22/3.07 tff(4117,plain,
% 4.22/3.07 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s47, c_n1) | (~m_main_v_state1(s46, c_c1)) | node1(s46) | node2(s46) | node3(s46) | node4(s46) | node5(s46) | (~node7(s46, s47)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s47, c_n1) | (~m_main_v_state1(s46, c_c1)) | node1(s46) | node2(s46) | node3(s46) | node4(s46) | node5(s46) | (~node7(s46, s47)))),
% 4.22/3.07 inference(rewrite,[status(thm)],[])).
% 4.22/3.07 tff(4118,plain,
% 4.22/3.07 (((~m_main_v_state1(s46, c_c1)) | node1(s46) | node2(s46) | node3(s46) | node4(s46) | node5(s46) | (~node7(s46, s47)) | m_main_v_state1(s47, c_n1)) <=> (m_main_v_state1(s47, c_n1) | (~m_main_v_state1(s46, c_c1)) | node1(s46) | node2(s46) | node3(s46) | node4(s46) | node5(s46) | (~node7(s46, s47)))),
% 4.22/3.07 inference(rewrite,[status(thm)],[])).
% 4.22/3.07 tff(4119,plain,
% 4.22/3.07 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s46, c_c1)) | node1(s46) | node2(s46) | node3(s46) | node4(s46) | node5(s46) | (~node7(s46, s47)) | m_main_v_state1(s47, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s47, c_n1) | (~m_main_v_state1(s46, c_c1)) | node1(s46) | node2(s46) | node3(s46) | node4(s46) | node5(s46) | (~node7(s46, s47))))),
% 4.22/3.07 inference(monotonicity,[status(thm)],[4118])).
% 4.22/3.07 tff(4120,plain,
% 4.22/3.07 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s46, c_c1)) | node1(s46) | node2(s46) | node3(s46) | node4(s46) | node5(s46) | (~node7(s46, s47)) | m_main_v_state1(s47, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s47, c_n1) | (~m_main_v_state1(s46, c_c1)) | node1(s46) | node2(s46) | node3(s46) | node4(s46) | node5(s46) | (~node7(s46, s47)))),
% 4.22/3.07 inference(transitivity,[status(thm)],[4119, 4117])).
% 4.22/3.07 tff(4121,plain,
% 4.22/3.07 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s46, c_c1)) | node1(s46) | node2(s46) | node3(s46) | node4(s46) | node5(s46) | (~node7(s46, s47)) | m_main_v_state1(s47, c_n1))),
% 4.22/3.07 inference(quant_inst,[status(thm)],[])).
% 4.22/3.07 tff(4122,plain,
% 4.22/3.07 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s47, c_n1) | (~m_main_v_state1(s46, c_c1)) | node1(s46) | node2(s46) | node3(s46) | node4(s46) | node5(s46) | (~node7(s46, s47))),
% 4.22/3.07 inference(modus_ponens,[status(thm)],[4121, 4120])).
% 4.22/3.07 tff(4123,plain,
% 4.22/3.07 (m_main_v_state1(s47, c_n1) | (~m_main_v_state1(s46, c_c1)) | node1(s46) | node2(s46) | node3(s46) | node4(s46) | node5(s46)),
% 4.22/3.07 inference(unit_resolution,[status(thm)],[4122, 584, 4116])).
% 4.22/3.07 tff(4124,plain,
% 4.22/3.07 (m_main_v_state1(s47, c_n1)),
% 4.22/3.07 inference(unit_resolution,[status(thm)],[4123, 4105, 4060, 4097, 4093, 4085, 4068])).
% 4.22/3.07 tff(4125,plain,
% 4.22/3.07 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s45, c_t2) | (~node15(s45)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s45, c_t2) | (~node15(s45)))),
% 4.22/3.07 inference(rewrite,[status(thm)],[])).
% 4.22/3.07 tff(4126,plain,
% 4.22/3.07 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s45, c_t2) | (~node15(s45)))),
% 4.22/3.07 inference(quant_inst,[status(thm)],[])).
% 4.22/3.07 tff(4127,plain,
% 4.22/3.07 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s45, c_t2) | (~node15(s45))),
% 4.22/3.07 inference(modus_ponens,[status(thm)],[4126, 4125])).
% 4.22/3.07 tff(4128,plain,
% 4.22/3.07 (~node15(s45)),
% 4.22/3.07 inference(unit_resolution,[status(thm)],[4127, 103, 4037])).
% 4.22/3.07 tff(4129,plain,
% 4.22/3.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s45, s46)) | node18(s45, s46))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s45, s46)) | node18(s45, s46))),
% 4.22/3.07 inference(rewrite,[status(thm)],[])).
% 4.22/3.07 tff(4130,plain,
% 4.22/3.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s45, s46)) | node18(s45, s46))),
% 4.22/3.07 inference(quant_inst,[status(thm)],[])).
% 4.22/3.07 tff(4131,plain,
% 4.22/3.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s45, s46)) | node18(s45, s46)),
% 4.22/3.07 inference(modus_ponens,[status(thm)],[4130, 4129])).
% 4.22/3.07 tff(4132,plain,
% 4.22/3.07 (node18(s45, s46)),
% 4.22/3.07 inference(unit_resolution,[status(thm)],[4131, 125, 4048])).
% 4.22/3.07 tff(4133,plain,
% 4.22/3.07 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s45) | (~node18(s45, s46)) | (~m_main_v_state1(s45, c_t1)) | (~m_main_v_state2(s45, c_n2)) | m_main_v_turn(s46, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s45) | (~node18(s45, s46)) | (~m_main_v_state1(s45, c_t1)) | (~m_main_v_state2(s45, c_n2)) | m_main_v_turn(s46, c_1))),
% 4.22/3.07 inference(rewrite,[status(thm)],[])).
% 4.22/3.07 tff(4134,plain,
% 4.22/3.07 (((~m_main_v_state1(s45, c_t1)) | (~m_main_v_state2(s45, c_n2)) | node15(s45) | (~node18(s45, s46)) | m_main_v_turn(s46, c_1)) <=> (node15(s45) | (~node18(s45, s46)) | (~m_main_v_state1(s45, c_t1)) | (~m_main_v_state2(s45, c_n2)) | m_main_v_turn(s46, c_1))),
% 4.22/3.07 inference(rewrite,[status(thm)],[])).
% 4.22/3.07 tff(4135,plain,
% 4.22/3.07 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s45, c_t1)) | (~m_main_v_state2(s45, c_n2)) | node15(s45) | (~node18(s45, s46)) | m_main_v_turn(s46, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s45) | (~node18(s45, s46)) | (~m_main_v_state1(s45, c_t1)) | (~m_main_v_state2(s45, c_n2)) | m_main_v_turn(s46, c_1)))),
% 4.22/3.07 inference(monotonicity,[status(thm)],[4134])).
% 4.22/3.07 tff(4136,plain,
% 4.22/3.07 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s45, c_t1)) | (~m_main_v_state2(s45, c_n2)) | node15(s45) | (~node18(s45, s46)) | m_main_v_turn(s46, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s45) | (~node18(s45, s46)) | (~m_main_v_state1(s45, c_t1)) | (~m_main_v_state2(s45, c_n2)) | m_main_v_turn(s46, c_1))),
% 4.22/3.07 inference(transitivity,[status(thm)],[4135, 4133])).
% 4.22/3.07 tff(4137,plain,
% 4.22/3.07 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s45, c_t1)) | (~m_main_v_state2(s45, c_n2)) | node15(s45) | (~node18(s45, s46)) | m_main_v_turn(s46, c_1))),
% 4.22/3.07 inference(quant_inst,[status(thm)],[])).
% 4.22/3.07 tff(4138,plain,
% 4.22/3.07 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s45) | (~node18(s45, s46)) | (~m_main_v_state1(s45, c_t1)) | (~m_main_v_state2(s45, c_n2)) | m_main_v_turn(s46, c_1)),
% 4.22/3.07 inference(modus_ponens,[status(thm)],[4137, 4136])).
% 4.22/3.07 tff(4139,plain,
% 4.22/3.07 (node15(s45) | (~m_main_v_state1(s45, c_t1)) | (~m_main_v_state2(s45, c_n2)) | m_main_v_turn(s46, c_1)),
% 4.22/3.07 inference(unit_resolution,[status(thm)],[4138, 992, 4132])).
% 4.22/3.07 tff(4140,plain,
% 4.22/3.07 (m_main_v_turn(s46, c_1)),
% 4.22/3.07 inference(unit_resolution,[status(thm)],[4139, 4128, 3965, 4033])).
% 4.22/3.07 tff(4141,plain,
% 4.22/3.07 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s46, c_1)) | (~m_main_v_turn(s46, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s46, c_1)) | (~m_main_v_turn(s46, c_2)))),
% 4.22/3.07 inference(rewrite,[status(thm)],[])).
% 4.22/3.07 tff(4142,plain,
% 4.22/3.07 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s46, c_1)) | (~m_main_v_turn(s46, c_2)))),
% 4.22/3.07 inference(quant_inst,[status(thm)],[])).
% 4.22/3.07 tff(4143,plain,
% 4.22/3.07 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s46, c_1)) | (~m_main_v_turn(s46, c_2))),
% 4.22/3.07 inference(modus_ponens,[status(thm)],[4142, 4141])).
% 4.22/3.07 tff(4144,plain,
% 4.22/3.07 (~m_main_v_turn(s46, c_2)),
% 4.22/3.07 inference(unit_resolution,[status(thm)],[4143, 156, 4140])).
% 4.22/3.07 tff(4145,plain,
% 4.22/3.07 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s46, c_2) | (~node12(s46)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s46, c_2) | (~node12(s46)))),
% 4.22/3.07 inference(rewrite,[status(thm)],[])).
% 4.22/3.07 tff(4146,plain,
% 4.22/3.07 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s46, c_2) | (~node12(s46)))),
% 4.22/3.07 inference(quant_inst,[status(thm)],[])).
% 4.22/3.07 tff(4147,plain,
% 4.22/3.07 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s46, c_2) | (~node12(s46))),
% 4.22/3.07 inference(modus_ponens,[status(thm)],[4146, 4145])).
% 4.22/3.07 tff(4148,plain,
% 4.22/3.07 (~node12(s46)),
% 4.22/3.07 inference(unit_resolution,[status(thm)],[4147, 184, 4144])).
% 4.22/3.07 tff(4149,plain,
% 4.22/3.07 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s46, c_n2) | (~node8(s46)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s46, c_n2) | (~node8(s46)))),
% 4.22/3.07 inference(rewrite,[status(thm)],[])).
% 4.22/3.08 tff(4150,plain,
% 4.22/3.08 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s46, c_n2) | (~node8(s46)))),
% 4.22/3.08 inference(quant_inst,[status(thm)],[])).
% 4.22/3.08 tff(4151,plain,
% 4.22/3.08 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s46, c_n2) | (~node8(s46))),
% 4.22/3.08 inference(modus_ponens,[status(thm)],[4150, 4149])).
% 4.22/3.08 tff(4152,plain,
% 4.22/3.08 (~node8(s46)),
% 4.22/3.08 inference(unit_resolution,[status(thm)],[4151, 271, 4081])).
% 4.22/3.08 tff(4153,plain,
% 4.22/3.08 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s46, c_n2) | (~node9(s46)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s46, c_n2) | (~node9(s46)))),
% 4.22/3.08 inference(rewrite,[status(thm)],[])).
% 4.22/3.08 tff(4154,plain,
% 4.22/3.08 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s46, c_n2) | (~node9(s46)))),
% 4.22/3.08 inference(quant_inst,[status(thm)],[])).
% 4.22/3.08 tff(4155,plain,
% 4.22/3.08 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s46, c_n2) | (~node9(s46))),
% 4.22/3.08 inference(modus_ponens,[status(thm)],[4154, 4153])).
% 4.22/3.08 tff(4156,plain,
% 4.22/3.08 (~node9(s46)),
% 4.22/3.08 inference(unit_resolution,[status(thm)],[4155, 88, 4081])).
% 4.22/3.08 tff(4157,plain,
% 4.22/3.08 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s46, c_n2) | (~node10(s46)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s46, c_n2) | (~node10(s46)))),
% 4.22/3.08 inference(rewrite,[status(thm)],[])).
% 4.22/3.08 tff(4158,plain,
% 4.22/3.08 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s46, c_n2) | (~node10(s46)))),
% 4.22/3.08 inference(quant_inst,[status(thm)],[])).
% 4.22/3.08 tff(4159,plain,
% 4.22/3.08 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s46, c_n2) | (~node10(s46))),
% 4.22/3.08 inference(modus_ponens,[status(thm)],[4158, 4157])).
% 4.22/3.08 tff(4160,plain,
% 4.22/3.08 (~node10(s46)),
% 4.22/3.08 inference(unit_resolution,[status(thm)],[4159, 249, 4081])).
% 4.22/3.08 tff(4161,plain,
% 4.22/3.08 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s46, c_n1) | (~node11(s46)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s46, c_n1) | (~node11(s46)))),
% 4.22/3.08 inference(rewrite,[status(thm)],[])).
% 4.22/3.08 tff(4162,plain,
% 4.22/3.08 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s46, c_n1) | (~node11(s46)))),
% 4.22/3.08 inference(quant_inst,[status(thm)],[])).
% 4.22/3.08 tff(4163,plain,
% 4.22/3.08 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s46, c_n1) | (~node11(s46))),
% 4.22/3.08 inference(modus_ponens,[status(thm)],[4162, 4161])).
% 4.22/3.08 tff(4164,plain,
% 4.22/3.08 (~node11(s46)),
% 4.22/3.08 inference(unit_resolution,[status(thm)],[4163, 238, 4101])).
% 4.22/3.08 tff(4165,plain,
% 4.22/3.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s46, s47)) | node14(s46, s47))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s46, s47)) | node14(s46, s47))),
% 4.22/3.08 inference(rewrite,[status(thm)],[])).
% 4.22/3.08 tff(4166,plain,
% 4.22/3.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s46, s47)) | node14(s46, s47))),
% 4.22/3.08 inference(quant_inst,[status(thm)],[])).
% 4.22/3.08 tff(4167,plain,
% 4.22/3.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s46, s47)) | node14(s46, s47)),
% 4.22/3.08 inference(modus_ponens,[status(thm)],[4166, 4165])).
% 4.22/3.08 tff(4168,plain,
% 4.22/3.08 (node14(s46, s47)),
% 4.22/3.08 inference(unit_resolution,[status(thm)],[4167, 46, 4112])).
% 4.22/3.08 tff(4169,plain,
% 4.22/3.08 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s46, c_c2) | node9(s46) | node8(s46) | node10(s46) | node11(s46) | node12(s46) | node13(s46, s47) | (~node14(s46, s47)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s46, c_c2) | node9(s46) | node8(s46) | node10(s46) | node11(s46) | node12(s46) | node13(s46, s47) | (~node14(s46, s47)))),
% 4.22/3.08 inference(rewrite,[status(thm)],[])).
% 4.22/3.08 tff(4170,plain,
% 4.22/3.08 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s46, c_c2) | node9(s46) | node8(s46) | node10(s46) | node11(s46) | node12(s46) | node13(s46, s47) | (~node14(s46, s47)))),
% 4.22/3.08 inference(quant_inst,[status(thm)],[])).
% 4.22/3.08 tff(4171,plain,
% 4.22/3.08 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s46, c_c2) | node9(s46) | node8(s46) | node10(s46) | node11(s46) | node12(s46) | node13(s46, s47) | (~node14(s46, s47))),
% 4.22/3.08 inference(modus_ponens,[status(thm)],[4170, 4169])).
% 4.22/3.08 tff(4172,plain,
% 4.22/3.08 (m_main_v_state2(s46, c_c2) | node9(s46) | node8(s46) | node10(s46) | node11(s46) | node12(s46) | node13(s46, s47)),
% 4.22/3.08 inference(unit_resolution,[status(thm)],[4171, 296, 4168])).
% 4.22/3.08 tff(4173,plain,
% 4.22/3.08 (node13(s46, s47)),
% 4.22/3.08 inference(unit_resolution,[status(thm)],[4172, 4164, 4089, 4160, 4156, 4152, 4148])).
% 4.22/3.08 tff(4174,plain,
% 4.22/3.08 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s46, c_t2)) | m_main_v_state2(s47, c_t2) | (~node13(s46, s47)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s46, c_t2)) | m_main_v_state2(s47, c_t2) | (~node13(s46, s47)))),
% 4.22/3.08 inference(rewrite,[status(thm)],[])).
% 4.22/3.08 tff(4175,plain,
% 4.22/3.08 (((~node13(s46, s47)) | (~m_main_v_state2(s46, c_t2)) | m_main_v_state2(s47, c_t2)) <=> ((~m_main_v_state2(s46, c_t2)) | m_main_v_state2(s47, c_t2) | (~node13(s46, s47)))),
% 4.22/3.08 inference(rewrite,[status(thm)],[])).
% 4.22/3.08 tff(4176,plain,
% 4.22/3.08 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s46, s47)) | (~m_main_v_state2(s46, c_t2)) | m_main_v_state2(s47, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s46, c_t2)) | m_main_v_state2(s47, c_t2) | (~node13(s46, s47))))),
% 4.22/3.08 inference(monotonicity,[status(thm)],[4175])).
% 4.22/3.08 tff(4177,plain,
% 4.22/3.08 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s46, s47)) | (~m_main_v_state2(s46, c_t2)) | m_main_v_state2(s47, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s46, c_t2)) | m_main_v_state2(s47, c_t2) | (~node13(s46, s47)))),
% 4.22/3.08 inference(transitivity,[status(thm)],[4176, 4174])).
% 4.22/3.08 tff(4178,plain,
% 4.22/3.08 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s46, s47)) | (~m_main_v_state2(s46, c_t2)) | m_main_v_state2(s47, c_t2))),
% 4.22/3.08 inference(quant_inst,[status(thm)],[])).
% 4.22/3.08 tff(4179,plain,
% 4.22/3.08 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s46, c_t2)) | m_main_v_state2(s47, c_t2) | (~node13(s46, s47))),
% 4.22/3.08 inference(modus_ponens,[status(thm)],[4178, 4177])).
% 4.22/3.08 tff(4180,plain,
% 4.22/3.08 (m_main_v_state2(s47, c_t2)),
% 4.22/3.08 inference(unit_resolution,[status(thm)],[4179, 518, 4077, 4173])).
% 4.22/3.08 tff(4181,plain,
% 4.22/3.08 (succ(s47, s48) <=> succ(s47, s48)),
% 4.22/3.08 inference(rewrite,[status(thm)],[])).
% 4.22/3.08 tff(4182,axiom,(succ(s47, s48)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound48')).
% 4.22/3.08 tff(4183,plain,
% 4.22/3.08 (succ(s47, s48)),
% 4.22/3.08 inference(modus_ponens,[status(thm)],[4182, 4181])).
% 4.22/3.08 tff(4184,plain,
% 4.22/3.08 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s47, s48)) | trans(s47, s48))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s47, s48)) | trans(s47, s48))),
% 4.22/3.08 inference(rewrite,[status(thm)],[])).
% 4.22/3.08 tff(4185,plain,
% 4.22/3.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s47, s48)) | trans(s47, s48))),
% 4.22/3.08 inference(quant_inst,[status(thm)],[])).
% 4.22/3.08 tff(4186,plain,
% 4.22/3.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s47, s48)) | trans(s47, s48)),
% 4.22/3.08 inference(modus_ponens,[status(thm)],[4185, 4184])).
% 4.22/3.08 tff(4187,plain,
% 4.22/3.08 (trans(s47, s48)),
% 4.22/3.08 inference(unit_resolution,[status(thm)],[4186, 4183, 32])).
% 4.22/3.08 tff(4188,plain,
% 4.22/3.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s47, s48)) | node7(s47, s48))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s47, s48)) | node7(s47, s48))),
% 4.22/3.08 inference(rewrite,[status(thm)],[])).
% 4.22/3.08 tff(4189,plain,
% 4.22/3.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s47, s48)) | node7(s47, s48))),
% 4.22/3.08 inference(quant_inst,[status(thm)],[])).
% 4.22/3.08 tff(4190,plain,
% 4.22/3.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s47, s48)) | node7(s47, s48)),
% 4.22/3.08 inference(modus_ponens,[status(thm)],[4189, 4188])).
% 4.22/3.08 tff(4191,plain,
% 4.22/3.08 (node7(s47, s48)),
% 4.22/3.08 inference(unit_resolution,[status(thm)],[4190, 206, 4187])).
% 4.22/3.08 tff(4192,plain,
% 4.22/3.08 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s47, c_n1)) | (~m_main_v_state2(s47, c_t2)) | (~node7(s47, s48)) | m_main_v_state1(s48, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s47, c_n1)) | (~m_main_v_state2(s47, c_t2)) | (~node7(s47, s48)) | m_main_v_state1(s48, c_t1))),
% 4.22/3.08 inference(rewrite,[status(thm)],[])).
% 4.22/3.08 tff(4193,plain,
% 4.22/3.08 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s47, c_n1)) | (~m_main_v_state2(s47, c_t2)) | (~node7(s47, s48)) | m_main_v_state1(s48, c_t1))),
% 4.22/3.08 inference(quant_inst,[status(thm)],[])).
% 4.22/3.08 tff(4194,plain,
% 4.22/3.08 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s47, c_n1)) | (~m_main_v_state2(s47, c_t2)) | (~node7(s47, s48)) | m_main_v_state1(s48, c_t1)),
% 4.22/3.08 inference(modus_ponens,[status(thm)],[4193, 4192])).
% 4.22/3.08 tff(4195,plain,
% 4.22/3.08 ((~m_main_v_state1(s47, c_n1)) | (~m_main_v_state2(s47, c_t2)) | m_main_v_state1(s48, c_t1)),
% 4.22/3.08 inference(unit_resolution,[status(thm)],[4194, 651, 4191])).
% 4.22/3.08 tff(4196,plain,
% 4.22/3.08 (m_main_v_state1(s48, c_t1)),
% 4.22/3.08 inference(unit_resolution,[status(thm)],[4195, 4180, 4124])).
% 4.22/3.08 tff(4197,plain,
% 4.22/3.08 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s48, c_n1)) | (~m_main_v_state1(s48, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s48, c_n1)) | (~m_main_v_state1(s48, c_t1)))),
% 4.22/3.08 inference(rewrite,[status(thm)],[])).
% 4.22/3.08 tff(4198,plain,
% 4.22/3.08 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s48, c_n1)) | (~m_main_v_state1(s48, c_t1)))),
% 4.22/3.08 inference(quant_inst,[status(thm)],[])).
% 4.22/3.08 tff(4199,plain,
% 4.22/3.08 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s48, c_n1)) | (~m_main_v_state1(s48, c_t1))),
% 4.22/3.08 inference(modus_ponens,[status(thm)],[4198, 4197])).
% 4.22/3.08 tff(4200,plain,
% 4.22/3.08 (~m_main_v_state1(s48, c_n1)),
% 4.22/3.08 inference(unit_resolution,[status(thm)],[4199, 10, 4196])).
% 4.22/3.08 tff(4201,plain,
% 4.22/3.08 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s48, c_n1) | (~node1(s48)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s48, c_n1) | (~node1(s48)))),
% 4.22/3.08 inference(rewrite,[status(thm)],[])).
% 4.22/3.08 tff(4202,plain,
% 4.22/3.08 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s48, c_n1) | (~node1(s48)))),
% 4.22/3.08 inference(quant_inst,[status(thm)],[])).
% 4.22/3.08 tff(4203,plain,
% 4.22/3.08 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s48, c_n1) | (~node1(s48))),
% 4.22/3.08 inference(modus_ponens,[status(thm)],[4202, 4201])).
% 4.22/3.08 tff(4204,plain,
% 4.22/3.08 (~node1(s48)),
% 4.22/3.08 inference(unit_resolution,[status(thm)],[4203, 421, 4200])).
% 4.22/3.08 tff(4205,plain,
% 4.22/3.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s47, s48)) | node18(s47, s48))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s47, s48)) | node18(s47, s48))),
% 4.22/3.08 inference(rewrite,[status(thm)],[])).
% 4.22/3.08 tff(4206,plain,
% 4.22/3.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s47, s48)) | node18(s47, s48))),
% 4.22/3.08 inference(quant_inst,[status(thm)],[])).
% 4.22/3.08 tff(4207,plain,
% 4.22/3.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s47, s48)) | node18(s47, s48)),
% 4.22/3.08 inference(modus_ponens,[status(thm)],[4206, 4205])).
% 4.22/3.08 tff(4208,plain,
% 4.22/3.08 (node18(s47, s48)),
% 4.22/3.08 inference(unit_resolution,[status(thm)],[4207, 125, 4187])).
% 4.22/3.08 tff(4209,plain,
% 4.22/3.08 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s47, c_n1)) | (~m_main_v_state2(s47, c_t2)) | (~node18(s47, s48)) | m_main_v_turn(s48, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s47, c_n1)) | (~m_main_v_state2(s47, c_t2)) | (~node18(s47, s48)) | m_main_v_turn(s48, c_2))),
% 4.22/3.08 inference(rewrite,[status(thm)],[])).
% 4.22/3.08 tff(4210,plain,
% 4.22/3.08 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s47, c_n1)) | (~m_main_v_state2(s47, c_t2)) | (~node18(s47, s48)) | m_main_v_turn(s48, c_2))),
% 4.22/3.08 inference(quant_inst,[status(thm)],[])).
% 4.22/3.08 tff(4211,plain,
% 4.22/3.08 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s47, c_n1)) | (~m_main_v_state2(s47, c_t2)) | (~node18(s47, s48)) | m_main_v_turn(s48, c_2)),
% 4.22/3.08 inference(modus_ponens,[status(thm)],[4210, 4209])).
% 4.22/3.08 tff(4212,plain,
% 4.22/3.08 ((~m_main_v_state1(s47, c_n1)) | (~m_main_v_state2(s47, c_t2)) | m_main_v_turn(s48, c_2)),
% 4.22/3.08 inference(unit_resolution,[status(thm)],[4211, 760, 4208])).
% 4.22/3.08 tff(4213,plain,
% 4.22/3.08 (m_main_v_turn(s48, c_2)),
% 4.22/3.08 inference(unit_resolution,[status(thm)],[4212, 4180, 4124])).
% 4.22/3.08 tff(4214,plain,
% 4.22/3.08 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s48, c_1)) | (~m_main_v_turn(s48, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s48, c_1)) | (~m_main_v_turn(s48, c_2)))),
% 4.22/3.08 inference(rewrite,[status(thm)],[])).
% 4.22/3.08 tff(4215,plain,
% 4.22/3.08 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s48, c_1)) | (~m_main_v_turn(s48, c_2)))),
% 4.22/3.08 inference(quant_inst,[status(thm)],[])).
% 4.22/3.08 tff(4216,plain,
% 4.22/3.08 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s48, c_1)) | (~m_main_v_turn(s48, c_2))),
% 4.22/3.08 inference(modus_ponens,[status(thm)],[4215, 4214])).
% 4.22/3.08 tff(4217,plain,
% 4.22/3.08 (~m_main_v_turn(s48, c_1)),
% 4.22/3.08 inference(unit_resolution,[status(thm)],[4216, 156, 4213])).
% 4.22/3.08 tff(4218,plain,
% 4.22/3.08 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s48, c_1) | (~node5(s48)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s48, c_1) | (~node5(s48)))),
% 4.22/3.08 inference(rewrite,[status(thm)],[])).
% 4.22/3.08 tff(4219,plain,
% 4.22/3.08 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s48, c_1) | (~node5(s48)))),
% 4.22/3.08 inference(quant_inst,[status(thm)],[])).
% 4.22/3.08 tff(4220,plain,
% 4.22/3.08 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s48, c_1) | (~node5(s48))),
% 4.22/3.08 inference(modus_ponens,[status(thm)],[4219, 4218])).
% 4.22/3.08 tff(4221,plain,
% 4.22/3.08 (~node5(s48)),
% 4.22/3.08 inference(unit_resolution,[status(thm)],[4220, 776, 4217])).
% 4.22/3.08 tff(4222,plain,
% 4.22/3.08 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s48, c_n1) | (~node2(s48)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s48, c_n1) | (~node2(s48)))),
% 4.22/3.08 inference(rewrite,[status(thm)],[])).
% 4.22/3.08 tff(4223,plain,
% 4.22/3.08 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s48, c_n1) | (~node2(s48)))),
% 4.22/3.08 inference(quant_inst,[status(thm)],[])).
% 4.22/3.08 tff(4224,plain,
% 4.22/3.08 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s48, c_n1) | (~node2(s48))),
% 4.22/3.08 inference(modus_ponens,[status(thm)],[4223, 4222])).
% 4.22/3.08 tff(4225,plain,
% 4.22/3.08 (~node2(s48)),
% 4.22/3.08 inference(unit_resolution,[status(thm)],[4224, 787, 4200])).
% 4.22/3.08 tff(4226,plain,
% 4.22/3.08 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s48, c_n1) | (~node3(s48)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s48, c_n1) | (~node3(s48)))),
% 4.22/3.08 inference(rewrite,[status(thm)],[])).
% 4.22/3.08 tff(4227,plain,
% 4.22/3.08 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s48, c_n1) | (~node3(s48)))),
% 4.22/3.08 inference(quant_inst,[status(thm)],[])).
% 4.22/3.08 tff(4228,plain,
% 4.22/3.08 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s48, c_n1) | (~node3(s48))),
% 4.22/3.08 inference(modus_ponens,[status(thm)],[4227, 4226])).
% 4.22/3.08 tff(4229,plain,
% 4.22/3.08 (~node3(s48)),
% 4.22/3.08 inference(unit_resolution,[status(thm)],[4228, 798, 4200])).
% 4.22/3.08 tff(4230,plain,
% 4.22/3.08 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s48, c_t1)) | (~m_main_v_state1(s48, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s48, c_t1)) | (~m_main_v_state1(s48, c_c1)))),
% 4.22/3.08 inference(rewrite,[status(thm)],[])).
% 4.22/3.08 tff(4231,plain,
% 4.22/3.08 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s48, c_t1)) | (~m_main_v_state1(s48, c_c1)))),
% 4.22/3.08 inference(quant_inst,[status(thm)],[])).
% 4.22/3.08 tff(4232,plain,
% 4.22/3.08 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s48, c_t1)) | (~m_main_v_state1(s48, c_c1))),
% 4.22/3.08 inference(modus_ponens,[status(thm)],[4231, 4230])).
% 4.22/3.08 tff(4233,plain,
% 4.22/3.08 (~m_main_v_state1(s48, c_c1)),
% 4.22/3.08 inference(unit_resolution,[status(thm)],[4232, 539, 4196])).
% 4.22/3.08 tff(4234,plain,
% 4.22/3.08 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s46, c_n2) | (~m_main_v_state2(s47, c_n2)) | (~node13(s46, s47)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s46, c_n2) | (~m_main_v_state2(s47, c_n2)) | (~node13(s46, s47)))),
% 4.22/3.08 inference(rewrite,[status(thm)],[])).
% 4.22/3.08 tff(4235,plain,
% 4.22/3.08 (((~node13(s46, s47)) | m_main_v_state2(s46, c_n2) | (~m_main_v_state2(s47, c_n2))) <=> (m_main_v_state2(s46, c_n2) | (~m_main_v_state2(s47, c_n2)) | (~node13(s46, s47)))),
% 4.22/3.08 inference(rewrite,[status(thm)],[])).
% 4.22/3.08 tff(4236,plain,
% 4.22/3.08 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s46, s47)) | m_main_v_state2(s46, c_n2) | (~m_main_v_state2(s47, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s46, c_n2) | (~m_main_v_state2(s47, c_n2)) | (~node13(s46, s47))))),
% 4.22/3.08 inference(monotonicity,[status(thm)],[4235])).
% 4.22/3.08 tff(4237,plain,
% 4.22/3.08 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s46, s47)) | m_main_v_state2(s46, c_n2) | (~m_main_v_state2(s47, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s46, c_n2) | (~m_main_v_state2(s47, c_n2)) | (~node13(s46, s47)))),
% 4.22/3.08 inference(transitivity,[status(thm)],[4236, 4234])).
% 4.22/3.08 tff(4238,plain,
% 4.22/3.08 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s46, s47)) | m_main_v_state2(s46, c_n2) | (~m_main_v_state2(s47, c_n2)))),
% 4.22/3.08 inference(quant_inst,[status(thm)],[])).
% 4.22/3.08 tff(4239,plain,
% 4.22/3.08 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s46, c_n2) | (~m_main_v_state2(s47, c_n2)) | (~node13(s46, s47))),
% 4.22/3.08 inference(modus_ponens,[status(thm)],[4238, 4237])).
% 4.22/3.08 tff(4240,plain,
% 4.22/3.08 (~m_main_v_state2(s47, c_n2)),
% 4.22/3.08 inference(unit_resolution,[status(thm)],[4239, 311, 4081, 4173])).
% 4.22/3.08 tff(4241,plain,
% 4.22/3.08 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s47, c_n2) | (~node9(s47)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s47, c_n2) | (~node9(s47)))),
% 4.22/3.08 inference(rewrite,[status(thm)],[])).
% 4.22/3.08 tff(4242,plain,
% 4.22/3.08 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s47, c_n2) | (~node9(s47)))),
% 4.22/3.08 inference(quant_inst,[status(thm)],[])).
% 4.22/3.08 tff(4243,plain,
% 4.22/3.08 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s47, c_n2) | (~node9(s47))),
% 4.22/3.08 inference(modus_ponens,[status(thm)],[4242, 4241])).
% 4.22/3.08 tff(4244,plain,
% 4.22/3.08 (~node9(s47)),
% 4.22/3.08 inference(unit_resolution,[status(thm)],[4243, 88, 4240])).
% 4.22/3.08 tff(4245,plain,
% 4.22/3.08 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s47, c_n2) | (~node10(s47)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s47, c_n2) | (~node10(s47)))),
% 4.22/3.08 inference(rewrite,[status(thm)],[])).
% 4.22/3.08 tff(4246,plain,
% 4.22/3.08 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s47, c_n2) | (~node10(s47)))),
% 4.22/3.08 inference(quant_inst,[status(thm)],[])).
% 4.22/3.08 tff(4247,plain,
% 4.22/3.08 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s47, c_n2) | (~node10(s47))),
% 4.22/3.08 inference(modus_ponens,[status(thm)],[4246, 4245])).
% 4.22/3.08 tff(4248,plain,
% 4.22/3.08 (~node10(s47)),
% 4.22/3.08 inference(unit_resolution,[status(thm)],[4247, 249, 4240])).
% 4.22/3.08 tff(4249,plain,
% 4.22/3.08 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s47, c_n2) | (~node8(s47)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s47, c_n2) | (~node8(s47)))),
% 4.22/3.08 inference(rewrite,[status(thm)],[])).
% 4.22/3.08 tff(4250,plain,
% 4.22/3.08 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s47, c_n2) | (~node8(s47)))),
% 4.22/3.08 inference(quant_inst,[status(thm)],[])).
% 4.22/3.08 tff(4251,plain,
% 4.22/3.08 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s47, c_n2) | (~node8(s47))),
% 4.22/3.08 inference(modus_ponens,[status(thm)],[4250, 4249])).
% 4.22/3.08 tff(4252,plain,
% 4.22/3.08 (~node8(s47)),
% 4.22/3.08 inference(unit_resolution,[status(thm)],[4251, 271, 4240])).
% 4.22/3.08 tff(4253,plain,
% 4.22/3.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s47, s48)) | node14(s47, s48))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s47, s48)) | node14(s47, s48))),
% 4.22/3.08 inference(rewrite,[status(thm)],[])).
% 4.22/3.08 tff(4254,plain,
% 4.22/3.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s47, s48)) | node14(s47, s48))),
% 4.22/3.08 inference(quant_inst,[status(thm)],[])).
% 4.22/3.08 tff(4255,plain,
% 4.22/3.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s47, s48)) | node14(s47, s48)),
% 4.22/3.08 inference(modus_ponens,[status(thm)],[4254, 4253])).
% 4.22/3.08 tff(4256,plain,
% 4.22/3.08 (node14(s47, s48)),
% 4.22/3.08 inference(unit_resolution,[status(thm)],[4255, 46, 4187])).
% 4.22/3.08 tff(4257,plain,
% 4.22/3.08 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s47, c_n1)) | (~m_main_v_state2(s47, c_t2)) | node9(s47) | node8(s47) | node10(s47) | (~node14(s47, s48)) | m_main_v_state2(s48, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s47, c_n1)) | (~m_main_v_state2(s47, c_t2)) | node9(s47) | node8(s47) | node10(s47) | (~node14(s47, s48)) | m_main_v_state2(s48, c_c2))),
% 4.22/3.08 inference(rewrite,[status(thm)],[])).
% 4.22/3.08 tff(4258,plain,
% 4.22/3.08 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s47, c_n1)) | (~m_main_v_state2(s47, c_t2)) | node9(s47) | node8(s47) | node10(s47) | (~node14(s47, s48)) | m_main_v_state2(s48, c_c2))),
% 4.22/3.08 inference(quant_inst,[status(thm)],[])).
% 4.22/3.08 tff(4259,plain,
% 4.22/3.08 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s47, c_n1)) | (~m_main_v_state2(s47, c_t2)) | node9(s47) | node8(s47) | node10(s47) | (~node14(s47, s48)) | m_main_v_state2(s48, c_c2)),
% 4.22/3.08 inference(modus_ponens,[status(thm)],[4258, 4257])).
% 4.22/3.08 tff(4260,plain,
% 4.22/3.08 ((~m_main_v_state1(s47, c_n1)) | (~m_main_v_state2(s47, c_t2)) | node9(s47) | node8(s47) | node10(s47) | m_main_v_state2(s48, c_c2)),
% 4.22/3.08 inference(unit_resolution,[status(thm)],[4259, 617, 4256])).
% 4.22/3.08 tff(4261,plain,
% 4.22/3.08 (m_main_v_state2(s48, c_c2)),
% 4.22/3.08 inference(unit_resolution,[status(thm)],[4260, 4252, 4124, 4180, 4248, 4244])).
% 4.22/3.08 tff(4262,plain,
% 4.22/3.08 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s48, c_n2)) | (~m_main_v_state2(s48, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s48, c_n2)) | (~m_main_v_state2(s48, c_c2)))),
% 4.22/3.08 inference(rewrite,[status(thm)],[])).
% 4.22/3.08 tff(4263,plain,
% 4.22/3.08 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s48, c_n2)) | (~m_main_v_state2(s48, c_c2)))),
% 4.22/3.08 inference(quant_inst,[status(thm)],[])).
% 4.22/3.08 tff(4264,plain,
% 4.22/3.08 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s48, c_n2)) | (~m_main_v_state2(s48, c_c2))),
% 4.22/3.08 inference(modus_ponens,[status(thm)],[4263, 4262])).
% 4.22/3.08 tff(4265,plain,
% 4.22/3.08 (~m_main_v_state2(s48, c_n2)),
% 4.22/3.08 inference(unit_resolution,[status(thm)],[4264, 697, 4261])).
% 4.22/3.08 tff(4266,plain,
% 4.22/3.08 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s48, c_n2) | (~node4(s48)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s48, c_n2) | (~node4(s48)))),
% 4.22/3.08 inference(rewrite,[status(thm)],[])).
% 4.22/3.08 tff(4267,plain,
% 4.22/3.08 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s48, c_n2) | (~node4(s48)))),
% 4.22/3.08 inference(quant_inst,[status(thm)],[])).
% 4.22/3.08 tff(4268,plain,
% 4.22/3.08 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s48, c_n2) | (~node4(s48))),
% 4.22/3.08 inference(modus_ponens,[status(thm)],[4267, 4266])).
% 4.22/3.08 tff(4269,plain,
% 4.22/3.08 (~node4(s48)),
% 4.22/3.08 inference(unit_resolution,[status(thm)],[4268, 388, 4265])).
% 4.22/3.08 tff(4270,plain,
% 4.22/3.08 (succ(s48, s49) <=> succ(s48, s49)),
% 4.22/3.08 inference(rewrite,[status(thm)],[])).
% 4.22/3.08 tff(4271,axiom,(succ(s48, s49)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound49')).
% 4.22/3.08 tff(4272,plain,
% 4.22/3.08 (succ(s48, s49)),
% 4.22/3.08 inference(modus_ponens,[status(thm)],[4271, 4270])).
% 4.22/3.08 tff(4273,plain,
% 4.22/3.08 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s48, s49)) | trans(s48, s49))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s48, s49)) | trans(s48, s49))),
% 4.22/3.08 inference(rewrite,[status(thm)],[])).
% 4.22/3.08 tff(4274,plain,
% 4.22/3.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s48, s49)) | trans(s48, s49))),
% 4.22/3.08 inference(quant_inst,[status(thm)],[])).
% 4.22/3.08 tff(4275,plain,
% 4.22/3.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s48, s49)) | trans(s48, s49)),
% 4.22/3.08 inference(modus_ponens,[status(thm)],[4274, 4273])).
% 4.22/3.08 tff(4276,plain,
% 4.22/3.08 (trans(s48, s49)),
% 4.22/3.08 inference(unit_resolution,[status(thm)],[4275, 4272, 32])).
% 4.22/3.08 tff(4277,plain,
% 4.22/3.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s48, s49)) | node7(s48, s49))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s48, s49)) | node7(s48, s49))),
% 4.22/3.08 inference(rewrite,[status(thm)],[])).
% 4.22/3.08 tff(4278,plain,
% 4.22/3.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s48, s49)) | node7(s48, s49))),
% 4.22/3.08 inference(quant_inst,[status(thm)],[])).
% 4.22/3.08 tff(4279,plain,
% 4.22/3.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s48, s49)) | node7(s48, s49)),
% 4.22/3.08 inference(modus_ponens,[status(thm)],[4278, 4277])).
% 4.22/3.08 tff(4280,plain,
% 4.22/3.08 (node7(s48, s49)),
% 4.22/3.08 inference(unit_resolution,[status(thm)],[4279, 206, 4276])).
% 4.22/3.08 tff(4281,plain,
% 4.22/3.08 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s48, c_c1) | node1(s48) | node2(s48) | node3(s48) | node4(s48) | node5(s48) | node6(s48, s49) | (~node7(s48, s49)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s48, c_c1) | node1(s48) | node2(s48) | node3(s48) | node4(s48) | node5(s48) | node6(s48, s49) | (~node7(s48, s49)))),
% 4.22/3.09 inference(rewrite,[status(thm)],[])).
% 4.22/3.09 tff(4282,plain,
% 4.22/3.09 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s48, c_c1) | node1(s48) | node2(s48) | node3(s48) | node4(s48) | node5(s48) | node6(s48, s49) | (~node7(s48, s49)))),
% 4.22/3.09 inference(quant_inst,[status(thm)],[])).
% 4.22/3.09 tff(4283,plain,
% 4.22/3.09 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s48, c_c1) | node1(s48) | node2(s48) | node3(s48) | node4(s48) | node5(s48) | node6(s48, s49) | (~node7(s48, s49))),
% 4.22/3.09 inference(modus_ponens,[status(thm)],[4282, 4281])).
% 4.22/3.09 tff(4284,plain,
% 4.22/3.09 (m_main_v_state1(s48, c_c1) | node1(s48) | node2(s48) | node3(s48) | node4(s48) | node5(s48) | node6(s48, s49)),
% 4.22/3.09 inference(unit_resolution,[status(thm)],[4283, 820, 4280])).
% 4.22/3.09 tff(4285,plain,
% 4.22/3.09 (node6(s48, s49)),
% 4.22/3.09 inference(unit_resolution,[status(thm)],[4284, 4269, 4233, 4229, 4225, 4221, 4204])).
% 4.22/3.09 tff(4286,plain,
% 4.22/3.09 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s48, c_t1)) | m_main_v_state1(s49, c_t1) | (~node6(s48, s49)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s48, c_t1)) | m_main_v_state1(s49, c_t1) | (~node6(s48, s49)))),
% 4.22/3.09 inference(rewrite,[status(thm)],[])).
% 4.22/3.09 tff(4287,plain,
% 4.22/3.09 (((~node6(s48, s49)) | (~m_main_v_state1(s48, c_t1)) | m_main_v_state1(s49, c_t1)) <=> ((~m_main_v_state1(s48, c_t1)) | m_main_v_state1(s49, c_t1) | (~node6(s48, s49)))),
% 4.22/3.09 inference(rewrite,[status(thm)],[])).
% 4.22/3.09 tff(4288,plain,
% 4.22/3.09 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s48, s49)) | (~m_main_v_state1(s48, c_t1)) | m_main_v_state1(s49, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s48, c_t1)) | m_main_v_state1(s49, c_t1) | (~node6(s48, s49))))),
% 4.22/3.09 inference(monotonicity,[status(thm)],[4287])).
% 4.22/3.09 tff(4289,plain,
% 4.22/3.09 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s48, s49)) | (~m_main_v_state1(s48, c_t1)) | m_main_v_state1(s49, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s48, c_t1)) | m_main_v_state1(s49, c_t1) | (~node6(s48, s49)))),
% 4.22/3.09 inference(transitivity,[status(thm)],[4288, 4286])).
% 4.22/3.09 tff(4290,plain,
% 4.22/3.09 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s48, s49)) | (~m_main_v_state1(s48, c_t1)) | m_main_v_state1(s49, c_t1))),
% 4.22/3.09 inference(quant_inst,[status(thm)],[])).
% 4.22/3.09 tff(4291,plain,
% 4.22/3.09 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s48, c_t1)) | m_main_v_state1(s49, c_t1) | (~node6(s48, s49))),
% 4.22/3.09 inference(modus_ponens,[status(thm)],[4290, 4289])).
% 4.22/3.09 tff(4292,plain,
% 4.22/3.09 (m_main_v_state1(s49, c_t1)),
% 4.22/3.09 inference(unit_resolution,[status(thm)],[4291, 856, 4196, 4285])).
% 4.22/3.09 tff(4293,plain,
% 4.22/3.09 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s48, c_t2)) | (~m_main_v_state2(s48, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s48, c_t2)) | (~m_main_v_state2(s48, c_c2)))),
% 4.22/3.09 inference(rewrite,[status(thm)],[])).
% 4.22/3.09 tff(4294,plain,
% 4.22/3.09 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s48, c_t2)) | (~m_main_v_state2(s48, c_c2)))),
% 4.22/3.09 inference(quant_inst,[status(thm)],[])).
% 4.22/3.09 tff(4295,plain,
% 4.22/3.09 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s48, c_t2)) | (~m_main_v_state2(s48, c_c2))),
% 4.22/3.09 inference(modus_ponens,[status(thm)],[4294, 4293])).
% 4.22/3.09 tff(4296,plain,
% 4.22/3.09 (~m_main_v_state2(s48, c_t2)),
% 4.22/3.09 inference(unit_resolution,[status(thm)],[4295, 260, 4261])).
% 4.22/3.09 tff(4297,plain,
% 4.22/3.09 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s48, c_t2) | (~node12(s48)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s48, c_t2) | (~node12(s48)))),
% 4.22/3.09 inference(rewrite,[status(thm)],[])).
% 4.22/3.09 tff(4298,plain,
% 4.22/3.09 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s48, c_t2) | (~node12(s48)))),
% 4.22/3.09 inference(quant_inst,[status(thm)],[])).
% 4.22/3.09 tff(4299,plain,
% 4.22/3.09 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s48, c_t2) | (~node12(s48))),
% 4.22/3.09 inference(modus_ponens,[status(thm)],[4298, 4297])).
% 4.22/3.09 tff(4300,plain,
% 4.22/3.09 (~node12(s48)),
% 4.22/3.09 inference(unit_resolution,[status(thm)],[4299, 633, 4296])).
% 4.22/3.09 tff(4301,plain,
% 4.22/3.09 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s48, c_n1) | (~node11(s48)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s48, c_n1) | (~node11(s48)))),
% 4.22/3.09 inference(rewrite,[status(thm)],[])).
% 4.22/3.09 tff(4302,plain,
% 4.22/3.09 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s48, c_n1) | (~node11(s48)))),
% 4.22/3.09 inference(quant_inst,[status(thm)],[])).
% 4.22/3.09 tff(4303,plain,
% 4.22/3.09 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s48, c_n1) | (~node11(s48))),
% 4.22/3.09 inference(modus_ponens,[status(thm)],[4302, 4301])).
% 4.22/3.09 tff(4304,plain,
% 4.22/3.09 (~node11(s48)),
% 4.22/3.09 inference(unit_resolution,[status(thm)],[4303, 238, 4200])).
% 4.22/3.09 tff(4305,plain,
% 4.22/3.09 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s48, c_c1) | (~node10(s48)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s48, c_c1) | (~node10(s48)))),
% 4.22/3.09 inference(rewrite,[status(thm)],[])).
% 4.22/3.09 tff(4306,plain,
% 4.22/3.09 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s48, c_c1) | (~node10(s48)))),
% 4.22/3.09 inference(quant_inst,[status(thm)],[])).
% 4.22/3.09 tff(4307,plain,
% 4.22/3.09 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s48, c_c1) | (~node10(s48))),
% 4.22/3.09 inference(modus_ponens,[status(thm)],[4306, 4305])).
% 4.22/3.09 tff(4308,plain,
% 4.22/3.09 (~node10(s48)),
% 4.22/3.09 inference(unit_resolution,[status(thm)],[4307, 675, 4233])).
% 4.22/3.09 tff(4309,plain,
% 4.22/3.09 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s48, c_n1) | (~node9(s48)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s48, c_n1) | (~node9(s48)))),
% 4.22/3.09 inference(rewrite,[status(thm)],[])).
% 4.22/3.09 tff(4310,plain,
% 4.22/3.09 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s48, c_n1) | (~node9(s48)))),
% 4.22/3.09 inference(quant_inst,[status(thm)],[])).
% 4.22/3.09 tff(4311,plain,
% 4.22/3.09 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s48, c_n1) | (~node9(s48))),
% 4.22/3.09 inference(modus_ponens,[status(thm)],[4310, 4309])).
% 4.22/3.09 tff(4312,plain,
% 4.22/3.09 (~node9(s48)),
% 4.22/3.09 inference(unit_resolution,[status(thm)],[4311, 686, 4200])).
% 4.22/3.09 tff(4313,plain,
% 4.22/3.09 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s48, c_n2) | (~node8(s48)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s48, c_n2) | (~node8(s48)))),
% 4.22/3.09 inference(rewrite,[status(thm)],[])).
% 4.22/3.09 tff(4314,plain,
% 4.22/3.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s48, c_n2) | (~node8(s48)))),
% 4.22/3.09 inference(quant_inst,[status(thm)],[])).
% 4.22/3.09 tff(4315,plain,
% 4.22/3.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s48, c_n2) | (~node8(s48))),
% 4.22/3.09 inference(modus_ponens,[status(thm)],[4314, 4313])).
% 4.22/3.09 tff(4316,plain,
% 4.22/3.09 (~node8(s48)),
% 4.22/3.09 inference(unit_resolution,[status(thm)],[4315, 271, 4265])).
% 4.22/3.09 tff(4317,plain,
% 4.22/3.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s48, s49)) | node14(s48, s49))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s48, s49)) | node14(s48, s49))),
% 4.22/3.09 inference(rewrite,[status(thm)],[])).
% 4.22/3.09 tff(4318,plain,
% 4.22/3.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s48, s49)) | node14(s48, s49))),
% 4.22/3.09 inference(quant_inst,[status(thm)],[])).
% 4.22/3.09 tff(4319,plain,
% 4.22/3.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s48, s49)) | node14(s48, s49)),
% 4.22/3.09 inference(modus_ponens,[status(thm)],[4318, 4317])).
% 4.22/3.09 tff(4320,plain,
% 4.22/3.09 (node14(s48, s49)),
% 4.22/3.09 inference(unit_resolution,[status(thm)],[4319, 46, 4276])).
% 4.22/3.09 tff(4321,plain,
% 4.22/3.09 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s49, c_n2) | node9(s48) | node8(s48) | node10(s48) | node11(s48) | node12(s48) | (~node14(s48, s49)) | (~m_main_v_state2(s48, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s49, c_n2) | node9(s48) | node8(s48) | node10(s48) | node11(s48) | node12(s48) | (~node14(s48, s49)) | (~m_main_v_state2(s48, c_c2)))),
% 4.22/3.09 inference(rewrite,[status(thm)],[])).
% 4.22/3.09 tff(4322,plain,
% 4.22/3.09 (((~m_main_v_state2(s48, c_c2)) | node9(s48) | node8(s48) | node10(s48) | node11(s48) | node12(s48) | (~node14(s48, s49)) | m_main_v_state2(s49, c_n2)) <=> (m_main_v_state2(s49, c_n2) | node9(s48) | node8(s48) | node10(s48) | node11(s48) | node12(s48) | (~node14(s48, s49)) | (~m_main_v_state2(s48, c_c2)))),
% 4.22/3.09 inference(rewrite,[status(thm)],[])).
% 4.22/3.09 tff(4323,plain,
% 4.22/3.09 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s48, c_c2)) | node9(s48) | node8(s48) | node10(s48) | node11(s48) | node12(s48) | (~node14(s48, s49)) | m_main_v_state2(s49, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s49, c_n2) | node9(s48) | node8(s48) | node10(s48) | node11(s48) | node12(s48) | (~node14(s48, s49)) | (~m_main_v_state2(s48, c_c2))))),
% 4.22/3.09 inference(monotonicity,[status(thm)],[4322])).
% 4.22/3.09 tff(4324,plain,
% 4.22/3.09 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s48, c_c2)) | node9(s48) | node8(s48) | node10(s48) | node11(s48) | node12(s48) | (~node14(s48, s49)) | m_main_v_state2(s49, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s49, c_n2) | node9(s48) | node8(s48) | node10(s48) | node11(s48) | node12(s48) | (~node14(s48, s49)) | (~m_main_v_state2(s48, c_c2)))),
% 4.22/3.09 inference(transitivity,[status(thm)],[4323, 4321])).
% 4.22/3.09 tff(4325,plain,
% 4.22/3.09 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s48, c_c2)) | node9(s48) | node8(s48) | node10(s48) | node11(s48) | node12(s48) | (~node14(s48, s49)) | m_main_v_state2(s49, c_n2))),
% 4.22/3.09 inference(quant_inst,[status(thm)],[])).
% 4.22/3.09 tff(4326,plain,
% 4.22/3.09 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s49, c_n2) | node9(s48) | node8(s48) | node10(s48) | node11(s48) | node12(s48) | (~node14(s48, s49)) | (~m_main_v_state2(s48, c_c2))),
% 4.22/3.09 inference(modus_ponens,[status(thm)],[4325, 4324])).
% 4.22/3.09 tff(4327,plain,
% 4.22/3.09 (m_main_v_state2(s49, c_n2) | node9(s48) | node8(s48) | node10(s48) | node11(s48) | node12(s48) | (~m_main_v_state2(s48, c_c2))),
% 4.22/3.09 inference(unit_resolution,[status(thm)],[4326, 726, 4320])).
% 4.22/3.09 tff(4328,plain,
% 4.22/3.09 (m_main_v_state2(s49, c_n2)),
% 4.22/3.09 inference(unit_resolution,[status(thm)],[4327, 4316, 4261, 4312, 4308, 4304, 4300])).
% 4.22/3.09 tff(4329,plain,
% 4.22/3.09 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s49, c_n2)) | (~m_main_v_state2(s49, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s49, c_n2)) | (~m_main_v_state2(s49, c_t2)))),
% 4.22/3.09 inference(rewrite,[status(thm)],[])).
% 4.22/3.09 tff(4330,plain,
% 4.22/3.09 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s49, c_n2)) | (~m_main_v_state2(s49, c_t2)))),
% 4.22/3.09 inference(quant_inst,[status(thm)],[])).
% 4.22/3.09 tff(4331,plain,
% 4.22/3.09 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s49, c_n2)) | (~m_main_v_state2(s49, c_t2))),
% 4.22/3.09 inference(modus_ponens,[status(thm)],[4330, 4329])).
% 4.22/3.09 tff(4332,plain,
% 4.22/3.09 (~m_main_v_state2(s49, c_t2)),
% 4.22/3.09 inference(unit_resolution,[status(thm)],[4331, 77, 4328])).
% 4.22/3.09 tff(4333,plain,
% 4.22/3.09 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s49, c_t2) | (~node15(s49)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s49, c_t2) | (~node15(s49)))),
% 4.22/3.09 inference(rewrite,[status(thm)],[])).
% 4.22/3.09 tff(4334,plain,
% 4.22/3.09 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s49, c_t2) | (~node15(s49)))),
% 4.22/3.09 inference(quant_inst,[status(thm)],[])).
% 4.22/3.09 tff(4335,plain,
% 4.22/3.09 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s49, c_t2) | (~node15(s49))),
% 4.22/3.09 inference(modus_ponens,[status(thm)],[4334, 4333])).
% 4.22/3.09 tff(4336,plain,
% 4.22/3.09 (~node15(s49)),
% 4.22/3.09 inference(unit_resolution,[status(thm)],[4335, 103, 4332])).
% 4.22/3.09 tff(4337,plain,
% 4.22/3.09 (succ(s49, s50) <=> succ(s49, s50)),
% 4.22/3.09 inference(rewrite,[status(thm)],[])).
% 4.22/3.09 tff(4338,axiom,(succ(s49, s50)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound50')).
% 4.22/3.09 tff(4339,plain,
% 4.22/3.09 (succ(s49, s50)),
% 4.22/3.09 inference(modus_ponens,[status(thm)],[4338, 4337])).
% 4.22/3.09 tff(4340,plain,
% 4.22/3.09 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s49, s50)) | trans(s49, s50))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s49, s50)) | trans(s49, s50))),
% 4.22/3.09 inference(rewrite,[status(thm)],[])).
% 4.22/3.09 tff(4341,plain,
% 4.22/3.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s49, s50)) | trans(s49, s50))),
% 4.22/3.09 inference(quant_inst,[status(thm)],[])).
% 4.22/3.09 tff(4342,plain,
% 4.22/3.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s49, s50)) | trans(s49, s50)),
% 4.22/3.09 inference(modus_ponens,[status(thm)],[4341, 4340])).
% 4.22/3.09 tff(4343,plain,
% 4.22/3.09 (trans(s49, s50)),
% 4.22/3.09 inference(unit_resolution,[status(thm)],[4342, 4339, 32])).
% 4.22/3.09 tff(4344,plain,
% 4.22/3.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s49, s50)) | node18(s49, s50))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s49, s50)) | node18(s49, s50))),
% 4.22/3.09 inference(rewrite,[status(thm)],[])).
% 4.22/3.09 tff(4345,plain,
% 4.22/3.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s49, s50)) | node18(s49, s50))),
% 4.22/3.09 inference(quant_inst,[status(thm)],[])).
% 4.22/3.09 tff(4346,plain,
% 4.22/3.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s49, s50)) | node18(s49, s50)),
% 4.22/3.09 inference(modus_ponens,[status(thm)],[4345, 4344])).
% 4.22/3.09 tff(4347,plain,
% 4.22/3.09 (node18(s49, s50)),
% 4.22/3.09 inference(unit_resolution,[status(thm)],[4346, 125, 4343])).
% 4.22/3.09 tff(4348,plain,
% 4.22/3.09 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s49) | (~node18(s49, s50)) | (~m_main_v_state1(s49, c_t1)) | (~m_main_v_state2(s49, c_n2)) | m_main_v_turn(s50, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s49) | (~node18(s49, s50)) | (~m_main_v_state1(s49, c_t1)) | (~m_main_v_state2(s49, c_n2)) | m_main_v_turn(s50, c_1))),
% 4.22/3.09 inference(rewrite,[status(thm)],[])).
% 4.22/3.09 tff(4349,plain,
% 4.22/3.09 (((~m_main_v_state1(s49, c_t1)) | (~m_main_v_state2(s49, c_n2)) | node15(s49) | (~node18(s49, s50)) | m_main_v_turn(s50, c_1)) <=> (node15(s49) | (~node18(s49, s50)) | (~m_main_v_state1(s49, c_t1)) | (~m_main_v_state2(s49, c_n2)) | m_main_v_turn(s50, c_1))),
% 4.22/3.09 inference(rewrite,[status(thm)],[])).
% 4.22/3.09 tff(4350,plain,
% 4.22/3.09 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s49, c_t1)) | (~m_main_v_state2(s49, c_n2)) | node15(s49) | (~node18(s49, s50)) | m_main_v_turn(s50, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s49) | (~node18(s49, s50)) | (~m_main_v_state1(s49, c_t1)) | (~m_main_v_state2(s49, c_n2)) | m_main_v_turn(s50, c_1)))),
% 4.22/3.09 inference(monotonicity,[status(thm)],[4349])).
% 4.22/3.09 tff(4351,plain,
% 4.22/3.09 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s49, c_t1)) | (~m_main_v_state2(s49, c_n2)) | node15(s49) | (~node18(s49, s50)) | m_main_v_turn(s50, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s49) | (~node18(s49, s50)) | (~m_main_v_state1(s49, c_t1)) | (~m_main_v_state2(s49, c_n2)) | m_main_v_turn(s50, c_1))),
% 4.22/3.09 inference(transitivity,[status(thm)],[4350, 4348])).
% 4.22/3.09 tff(4352,plain,
% 4.22/3.09 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s49, c_t1)) | (~m_main_v_state2(s49, c_n2)) | node15(s49) | (~node18(s49, s50)) | m_main_v_turn(s50, c_1))),
% 4.22/3.09 inference(quant_inst,[status(thm)],[])).
% 4.22/3.09 tff(4353,plain,
% 4.22/3.09 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s49) | (~node18(s49, s50)) | (~m_main_v_state1(s49, c_t1)) | (~m_main_v_state2(s49, c_n2)) | m_main_v_turn(s50, c_1)),
% 4.22/3.09 inference(modus_ponens,[status(thm)],[4352, 4351])).
% 4.22/3.09 tff(4354,plain,
% 4.22/3.09 (node15(s49) | (~m_main_v_state1(s49, c_t1)) | (~m_main_v_state2(s49, c_n2)) | m_main_v_turn(s50, c_1)),
% 4.22/3.09 inference(unit_resolution,[status(thm)],[4353, 992, 4347])).
% 4.22/3.09 tff(4355,plain,
% 4.22/3.09 (m_main_v_turn(s50, c_1)),
% 4.22/3.09 inference(unit_resolution,[status(thm)],[4354, 4336, 4328, 4292])).
% 4.22/3.09 tff(4356,plain,
% 4.22/3.09 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s50, c_1)) | (~m_main_v_turn(s50, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s50, c_1)) | (~m_main_v_turn(s50, c_2)))),
% 4.22/3.09 inference(rewrite,[status(thm)],[])).
% 4.22/3.09 tff(4357,plain,
% 4.22/3.09 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s50, c_1)) | (~m_main_v_turn(s50, c_2)))),
% 4.22/3.09 inference(quant_inst,[status(thm)],[])).
% 4.22/3.09 tff(4358,plain,
% 4.22/3.09 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s50, c_1)) | (~m_main_v_turn(s50, c_2))),
% 4.22/3.09 inference(modus_ponens,[status(thm)],[4357, 4356])).
% 4.22/3.09 tff(4359,plain,
% 4.22/3.09 (~m_main_v_turn(s50, c_2)),
% 4.22/3.09 inference(unit_resolution,[status(thm)],[4358, 156, 4355])).
% 4.22/3.09 tff(4360,plain,
% 4.22/3.09 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s50, c_2) | (~node12(s50)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s50, c_2) | (~node12(s50)))),
% 4.22/3.09 inference(rewrite,[status(thm)],[])).
% 4.22/3.09 tff(4361,plain,
% 4.22/3.09 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s50, c_2) | (~node12(s50)))),
% 4.22/3.09 inference(quant_inst,[status(thm)],[])).
% 4.22/3.09 tff(4362,plain,
% 4.22/3.09 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s50, c_2) | (~node12(s50))),
% 4.22/3.09 inference(modus_ponens,[status(thm)],[4361, 4360])).
% 4.22/3.09 tff(4363,plain,
% 4.22/3.09 (~node12(s50)),
% 4.22/3.09 inference(unit_resolution,[status(thm)],[4362, 184, 4359])).
% 4.22/3.09 tff(4364,plain,
% 4.22/3.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s49, s50)) | node14(s49, s50))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s49, s50)) | node14(s49, s50))),
% 4.22/3.09 inference(rewrite,[status(thm)],[])).
% 4.22/3.09 tff(4365,plain,
% 4.22/3.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s49, s50)) | node14(s49, s50))),
% 4.22/3.09 inference(quant_inst,[status(thm)],[])).
% 4.22/3.09 tff(4366,plain,
% 4.22/3.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s49, s50)) | node14(s49, s50)),
% 4.22/3.09 inference(modus_ponens,[status(thm)],[4365, 4364])).
% 4.22/3.09 tff(4367,plain,
% 4.22/3.09 (node14(s49, s50)),
% 4.22/3.09 inference(unit_resolution,[status(thm)],[4366, 46, 4343])).
% 4.22/3.09 tff(4368,plain,
% 4.22/3.09 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s49, c_t1)) | (~m_main_v_state2(s49, c_n2)) | (~node14(s49, s50)) | m_main_v_state2(s50, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s49, c_t1)) | (~m_main_v_state2(s49, c_n2)) | (~node14(s49, s50)) | m_main_v_state2(s50, c_t2))),
% 4.22/3.09 inference(rewrite,[status(thm)],[])).
% 4.22/3.09 tff(4369,plain,
% 4.22/3.09 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s49, c_t1)) | (~m_main_v_state2(s49, c_n2)) | (~node14(s49, s50)) | m_main_v_state2(s50, c_t2))),
% 4.22/3.09 inference(quant_inst,[status(thm)],[])).
% 4.22/3.09 tff(4370,plain,
% 4.22/3.09 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s49, c_t1)) | (~m_main_v_state2(s49, c_n2)) | (~node14(s49, s50)) | m_main_v_state2(s50, c_t2)),
% 4.22/3.09 inference(modus_ponens,[status(thm)],[4369, 4368])).
% 4.22/3.09 tff(4371,plain,
% 4.22/3.09 ((~m_main_v_state1(s49, c_t1)) | (~m_main_v_state2(s49, c_n2)) | m_main_v_state2(s50, c_t2)),
% 4.22/3.09 inference(unit_resolution,[status(thm)],[4370, 922, 4367])).
% 4.22/3.09 tff(4372,plain,
% 4.22/3.09 (m_main_v_state2(s50, c_t2)),
% 4.22/3.09 inference(unit_resolution,[status(thm)],[4371, 4292, 4328])).
% 4.22/3.09 tff(4373,plain,
% 4.22/3.09 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s50, c_n2)) | (~m_main_v_state2(s50, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s50, c_n2)) | (~m_main_v_state2(s50, c_t2)))),
% 4.22/3.09 inference(rewrite,[status(thm)],[])).
% 4.22/3.09 tff(4374,plain,
% 4.22/3.09 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s50, c_n2)) | (~m_main_v_state2(s50, c_t2)))),
% 4.22/3.09 inference(quant_inst,[status(thm)],[])).
% 4.22/3.09 tff(4375,plain,
% 4.22/3.09 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s50, c_n2)) | (~m_main_v_state2(s50, c_t2))),
% 4.22/3.09 inference(modus_ponens,[status(thm)],[4374, 4373])).
% 4.22/3.09 tff(4376,plain,
% 4.22/3.09 (~m_main_v_state2(s50, c_n2)),
% 4.22/3.09 inference(unit_resolution,[status(thm)],[4375, 77, 4372])).
% 4.22/3.09 tff(4377,plain,
% 4.22/3.09 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s50, c_n2) | (~node8(s50)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s50, c_n2) | (~node8(s50)))),
% 4.22/3.09 inference(rewrite,[status(thm)],[])).
% 4.22/3.09 tff(4378,plain,
% 4.22/3.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s50, c_n2) | (~node8(s50)))),
% 4.22/3.09 inference(quant_inst,[status(thm)],[])).
% 4.22/3.09 tff(4379,plain,
% 4.22/3.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s50, c_n2) | (~node8(s50))),
% 4.22/3.09 inference(modus_ponens,[status(thm)],[4378, 4377])).
% 4.22/3.09 tff(4380,plain,
% 4.22/3.09 (~node8(s50)),
% 4.22/3.09 inference(unit_resolution,[status(thm)],[4379, 271, 4376])).
% 4.22/3.09 tff(4381,plain,
% 4.22/3.09 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s50, c_n2) | (~node9(s50)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s50, c_n2) | (~node9(s50)))),
% 4.22/3.09 inference(rewrite,[status(thm)],[])).
% 4.22/3.09 tff(4382,plain,
% 4.22/3.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s50, c_n2) | (~node9(s50)))),
% 4.22/3.09 inference(quant_inst,[status(thm)],[])).
% 4.22/3.09 tff(4383,plain,
% 4.22/3.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s50, c_n2) | (~node9(s50))),
% 4.22/3.09 inference(modus_ponens,[status(thm)],[4382, 4381])).
% 4.22/3.09 tff(4384,plain,
% 4.22/3.09 (~node9(s50)),
% 4.22/3.09 inference(unit_resolution,[status(thm)],[4383, 88, 4376])).
% 4.22/3.09 tff(4385,plain,
% 4.22/3.09 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s50, c_n2) | (~node10(s50)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s50, c_n2) | (~node10(s50)))),
% 4.22/3.09 inference(rewrite,[status(thm)],[])).
% 4.22/3.09 tff(4386,plain,
% 4.22/3.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s50, c_n2) | (~node10(s50)))),
% 4.22/3.09 inference(quant_inst,[status(thm)],[])).
% 4.22/3.09 tff(4387,plain,
% 4.22/3.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s50, c_n2) | (~node10(s50))),
% 4.22/3.09 inference(modus_ponens,[status(thm)],[4386, 4385])).
% 4.22/3.09 tff(4388,plain,
% 4.22/3.09 (~node10(s50)),
% 4.22/3.09 inference(unit_resolution,[status(thm)],[4387, 249, 4376])).
% 4.22/3.09 tff(4389,plain,
% 4.22/3.09 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s50, c_t2)) | (~m_main_v_state2(s50, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s50, c_t2)) | (~m_main_v_state2(s50, c_c2)))),
% 4.22/3.09 inference(rewrite,[status(thm)],[])).
% 4.22/3.09 tff(4390,plain,
% 4.22/3.09 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s50, c_t2)) | (~m_main_v_state2(s50, c_c2)))),
% 4.22/3.09 inference(quant_inst,[status(thm)],[])).
% 4.22/3.09 tff(4391,plain,
% 4.22/3.09 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s50, c_t2)) | (~m_main_v_state2(s50, c_c2))),
% 4.22/3.09 inference(modus_ponens,[status(thm)],[4390, 4389])).
% 4.22/3.09 tff(4392,plain,
% 4.22/3.09 (~m_main_v_state2(s50, c_c2)),
% 4.22/3.09 inference(unit_resolution,[status(thm)],[4391, 260, 4372])).
% 4.22/3.09 tff(4393,plain,
% 4.22/3.09 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s49, c_n2)) | (~m_main_v_state2(s49, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s49, c_n2)) | (~m_main_v_state2(s49, c_c2)))),
% 4.22/3.09 inference(rewrite,[status(thm)],[])).
% 4.22/3.09 tff(4394,plain,
% 4.22/3.09 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s49, c_n2)) | (~m_main_v_state2(s49, c_c2)))),
% 4.22/3.09 inference(quant_inst,[status(thm)],[])).
% 4.22/3.09 tff(4395,plain,
% 4.22/3.09 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s49, c_n2)) | (~m_main_v_state2(s49, c_c2))),
% 4.22/3.09 inference(modus_ponens,[status(thm)],[4394, 4393])).
% 4.22/3.09 tff(4396,plain,
% 4.22/3.09 (~m_main_v_state2(s49, c_c2)),
% 4.22/3.09 inference(unit_resolution,[status(thm)],[4395, 697, 4328])).
% 4.22/3.09 tff(4397,plain,
% 4.22/3.09 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s49, c_c2) | (~node3(s49)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s49, c_c2) | (~node3(s49)))),
% 4.22/3.09 inference(rewrite,[status(thm)],[])).
% 4.22/3.09 tff(4398,plain,
% 4.22/3.09 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s49, c_c2) | (~node3(s49)))),
% 4.22/3.09 inference(quant_inst,[status(thm)],[])).
% 4.22/3.09 tff(4399,plain,
% 4.22/3.09 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s49, c_c2) | (~node3(s49))),
% 4.22/3.09 inference(modus_ponens,[status(thm)],[4398, 4397])).
% 4.22/3.09 tff(4400,plain,
% 4.22/3.09 (~node3(s49)),
% 4.22/3.09 inference(unit_resolution,[status(thm)],[4399, 399, 4396])).
% 4.22/3.09 tff(4401,plain,
% 4.22/3.09 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s48, c_n1) | (~m_main_v_state1(s49, c_n1)) | (~node6(s48, s49)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s48, c_n1) | (~m_main_v_state1(s49, c_n1)) | (~node6(s48, s49)))),
% 4.22/3.09 inference(rewrite,[status(thm)],[])).
% 4.22/3.09 tff(4402,plain,
% 4.22/3.09 (((~node6(s48, s49)) | m_main_v_state1(s48, c_n1) | (~m_main_v_state1(s49, c_n1))) <=> (m_main_v_state1(s48, c_n1) | (~m_main_v_state1(s49, c_n1)) | (~node6(s48, s49)))),
% 4.22/3.09 inference(rewrite,[status(thm)],[])).
% 4.22/3.09 tff(4403,plain,
% 4.22/3.09 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s48, s49)) | m_main_v_state1(s48, c_n1) | (~m_main_v_state1(s49, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s48, c_n1) | (~m_main_v_state1(s49, c_n1)) | (~node6(s48, s49))))),
% 4.22/3.10 inference(monotonicity,[status(thm)],[4402])).
% 4.22/3.10 tff(4404,plain,
% 4.22/3.10 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s48, s49)) | m_main_v_state1(s48, c_n1) | (~m_main_v_state1(s49, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s48, c_n1) | (~m_main_v_state1(s49, c_n1)) | (~node6(s48, s49)))),
% 4.22/3.10 inference(transitivity,[status(thm)],[4403, 4401])).
% 4.22/3.10 tff(4405,plain,
% 4.22/3.10 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s48, s49)) | m_main_v_state1(s48, c_n1) | (~m_main_v_state1(s49, c_n1)))),
% 4.22/3.10 inference(quant_inst,[status(thm)],[])).
% 4.22/3.10 tff(4406,plain,
% 4.22/3.10 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s48, c_n1) | (~m_main_v_state1(s49, c_n1)) | (~node6(s48, s49))),
% 4.22/3.10 inference(modus_ponens,[status(thm)],[4405, 4404])).
% 4.22/3.10 tff(4407,plain,
% 4.22/3.10 (~m_main_v_state1(s49, c_n1)),
% 4.22/3.10 inference(unit_resolution,[status(thm)],[4406, 835, 4200, 4285])).
% 4.22/3.10 tff(4408,plain,
% 4.22/3.10 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s49, c_n1) | (~node2(s49)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s49, c_n1) | (~node2(s49)))),
% 4.22/3.10 inference(rewrite,[status(thm)],[])).
% 4.22/3.10 tff(4409,plain,
% 4.22/3.10 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s49, c_n1) | (~node2(s49)))),
% 4.22/3.10 inference(quant_inst,[status(thm)],[])).
% 4.22/3.10 tff(4410,plain,
% 4.22/3.10 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s49, c_n1) | (~node2(s49))),
% 4.22/3.10 inference(modus_ponens,[status(thm)],[4409, 4408])).
% 4.22/3.10 tff(4411,plain,
% 4.22/3.10 (~node2(s49)),
% 4.22/3.10 inference(unit_resolution,[status(thm)],[4410, 787, 4407])).
% 4.22/3.10 tff(4412,plain,
% 4.22/3.10 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s49, c_t2) | (~node1(s49)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s49, c_t2) | (~node1(s49)))),
% 4.22/3.10 inference(rewrite,[status(thm)],[])).
% 4.22/3.10 tff(4413,plain,
% 4.22/3.10 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s49, c_t2) | (~node1(s49)))),
% 4.22/3.10 inference(quant_inst,[status(thm)],[])).
% 4.22/3.10 tff(4414,plain,
% 4.22/3.10 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s49, c_t2) | (~node1(s49))),
% 4.22/3.10 inference(modus_ponens,[status(thm)],[4413, 4412])).
% 4.22/3.10 tff(4415,plain,
% 4.22/3.10 (~node1(s49)),
% 4.22/3.10 inference(unit_resolution,[status(thm)],[4414, 195, 4332])).
% 4.22/3.10 tff(4416,plain,
% 4.22/3.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s49, s50)) | node7(s49, s50))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s49, s50)) | node7(s49, s50))),
% 4.22/3.10 inference(rewrite,[status(thm)],[])).
% 4.22/3.10 tff(4417,plain,
% 4.22/3.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s49, s50)) | node7(s49, s50))),
% 4.22/3.10 inference(quant_inst,[status(thm)],[])).
% 4.22/3.10 tff(4418,plain,
% 4.22/3.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s49, s50)) | node7(s49, s50)),
% 4.22/3.10 inference(modus_ponens,[status(thm)],[4417, 4416])).
% 4.22/3.10 tff(4419,plain,
% 4.22/3.10 (node7(s49, s50)),
% 4.22/3.10 inference(unit_resolution,[status(thm)],[4418, 206, 4343])).
% 4.22/3.10 tff(4420,plain,
% 4.22/3.10 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s49, c_t1)) | (~m_main_v_state2(s49, c_n2)) | m_main_v_state1(s50, c_c1) | node1(s49) | node2(s49) | node3(s49) | (~node7(s49, s50)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s49, c_t1)) | (~m_main_v_state2(s49, c_n2)) | m_main_v_state1(s50, c_c1) | node1(s49) | node2(s49) | node3(s49) | (~node7(s49, s50)))),
% 4.22/3.10 inference(rewrite,[status(thm)],[])).
% 4.22/3.10 tff(4421,plain,
% 4.22/3.10 (((~m_main_v_state1(s49, c_t1)) | (~m_main_v_state2(s49, c_n2)) | node1(s49) | node2(s49) | node3(s49) | (~node7(s49, s50)) | m_main_v_state1(s50, c_c1)) <=> ((~m_main_v_state1(s49, c_t1)) | (~m_main_v_state2(s49, c_n2)) | m_main_v_state1(s50, c_c1) | node1(s49) | node2(s49) | node3(s49) | (~node7(s49, s50)))),
% 4.22/3.10 inference(rewrite,[status(thm)],[])).
% 4.22/3.10 tff(4422,plain,
% 4.22/3.10 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s49, c_t1)) | (~m_main_v_state2(s49, c_n2)) | node1(s49) | node2(s49) | node3(s49) | (~node7(s49, s50)) | m_main_v_state1(s50, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s49, c_t1)) | (~m_main_v_state2(s49, c_n2)) | m_main_v_state1(s50, c_c1) | node1(s49) | node2(s49) | node3(s49) | (~node7(s49, s50))))),
% 4.22/3.10 inference(monotonicity,[status(thm)],[4421])).
% 4.22/3.10 tff(4423,plain,
% 4.22/3.10 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s49, c_t1)) | (~m_main_v_state2(s49, c_n2)) | node1(s49) | node2(s49) | node3(s49) | (~node7(s49, s50)) | m_main_v_state1(s50, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s49, c_t1)) | (~m_main_v_state2(s49, c_n2)) | m_main_v_state1(s50, c_c1) | node1(s49) | node2(s49) | node3(s49) | (~node7(s49, s50)))),
% 4.22/3.10 inference(transitivity,[status(thm)],[4422, 4420])).
% 4.22/3.10 tff(4424,plain,
% 4.22/3.10 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s49, c_t1)) | (~m_main_v_state2(s49, c_n2)) | node1(s49) | node2(s49) | node3(s49) | (~node7(s49, s50)) | m_main_v_state1(s50, c_c1))),
% 4.22/3.10 inference(quant_inst,[status(thm)],[])).
% 4.22/3.10 tff(4425,plain,
% 4.22/3.10 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s49, c_t1)) | (~m_main_v_state2(s49, c_n2)) | m_main_v_state1(s50, c_c1) | node1(s49) | node2(s49) | node3(s49) | (~node7(s49, s50))),
% 4.22/3.10 inference(modus_ponens,[status(thm)],[4424, 4423])).
% 4.22/3.10 tff(4426,plain,
% 4.22/3.10 ((~m_main_v_state1(s49, c_t1)) | (~m_main_v_state2(s49, c_n2)) | m_main_v_state1(s50, c_c1) | node1(s49) | node2(s49) | node3(s49)),
% 4.22/3.10 inference(unit_resolution,[status(thm)],[4425, 892, 4419])).
% 4.22/3.10 tff(4427,plain,
% 4.22/3.10 (m_main_v_state1(s50, c_c1)),
% 4.22/3.10 inference(unit_resolution,[status(thm)],[4426, 4415, 4328, 4292, 4411, 4400])).
% 4.22/3.10 tff(4428,plain,
% 4.22/3.10 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s50, c_n1)) | (~m_main_v_state1(s50, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s50, c_n1)) | (~m_main_v_state1(s50, c_c1)))),
% 4.22/3.10 inference(rewrite,[status(thm)],[])).
% 4.22/3.10 tff(4429,plain,
% 4.22/3.10 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s50, c_n1)) | (~m_main_v_state1(s50, c_c1)))),
% 4.22/3.10 inference(quant_inst,[status(thm)],[])).
% 4.22/3.10 tff(4430,plain,
% 4.22/3.10 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s50, c_n1)) | (~m_main_v_state1(s50, c_c1))),
% 4.22/3.10 inference(modus_ponens,[status(thm)],[4429, 4428])).
% 4.22/3.10 tff(4431,plain,
% 4.22/3.10 (~m_main_v_state1(s50, c_n1)),
% 4.22/3.10 inference(unit_resolution,[status(thm)],[4430, 454, 4427])).
% 4.22/3.10 tff(4432,plain,
% 4.22/3.10 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s50, c_n1) | (~node11(s50)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s50, c_n1) | (~node11(s50)))),
% 4.22/3.10 inference(rewrite,[status(thm)],[])).
% 4.22/3.10 tff(4433,plain,
% 4.22/3.10 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s50, c_n1) | (~node11(s50)))),
% 4.22/3.10 inference(quant_inst,[status(thm)],[])).
% 4.22/3.10 tff(4434,plain,
% 4.22/3.10 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s50, c_n1) | (~node11(s50))),
% 4.22/3.10 inference(modus_ponens,[status(thm)],[4433, 4432])).
% 4.22/3.10 tff(4435,plain,
% 4.22/3.10 (~node11(s50)),
% 4.22/3.10 inference(unit_resolution,[status(thm)],[4434, 238, 4431])).
% 4.22/3.10 tff(4436,plain,
% 4.22/3.10 (succ(s50, s51) <=> succ(s50, s51)),
% 4.22/3.10 inference(rewrite,[status(thm)],[])).
% 4.22/3.10 tff(4437,axiom,(succ(s50, s51)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound51')).
% 4.22/3.10 tff(4438,plain,
% 4.22/3.10 (succ(s50, s51)),
% 4.22/3.10 inference(modus_ponens,[status(thm)],[4437, 4436])).
% 4.22/3.10 tff(4439,plain,
% 4.22/3.10 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s50, s51)) | trans(s50, s51))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s50, s51)) | trans(s50, s51))),
% 4.22/3.10 inference(rewrite,[status(thm)],[])).
% 4.22/3.10 tff(4440,plain,
% 4.22/3.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s50, s51)) | trans(s50, s51))),
% 4.22/3.10 inference(quant_inst,[status(thm)],[])).
% 4.22/3.10 tff(4441,plain,
% 4.22/3.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s50, s51)) | trans(s50, s51)),
% 4.22/3.10 inference(modus_ponens,[status(thm)],[4440, 4439])).
% 4.22/3.10 tff(4442,plain,
% 4.22/3.10 (trans(s50, s51)),
% 4.22/3.10 inference(unit_resolution,[status(thm)],[4441, 4438, 32])).
% 4.22/3.10 tff(4443,plain,
% 4.22/3.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s50, s51)) | node14(s50, s51))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s50, s51)) | node14(s50, s51))),
% 4.22/3.10 inference(rewrite,[status(thm)],[])).
% 4.22/3.10 tff(4444,plain,
% 4.22/3.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s50, s51)) | node14(s50, s51))),
% 4.22/3.10 inference(quant_inst,[status(thm)],[])).
% 4.22/3.10 tff(4445,plain,
% 4.22/3.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s50, s51)) | node14(s50, s51)),
% 4.22/3.10 inference(modus_ponens,[status(thm)],[4444, 4443])).
% 4.22/3.10 tff(4446,plain,
% 4.22/3.10 (node14(s50, s51)),
% 4.22/3.10 inference(unit_resolution,[status(thm)],[4445, 46, 4442])).
% 4.22/3.10 tff(4447,plain,
% 4.22/3.10 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s50, c_c2) | node9(s50) | node8(s50) | node10(s50) | node11(s50) | node12(s50) | node13(s50, s51) | (~node14(s50, s51)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s50, c_c2) | node9(s50) | node8(s50) | node10(s50) | node11(s50) | node12(s50) | node13(s50, s51) | (~node14(s50, s51)))),
% 4.22/3.10 inference(rewrite,[status(thm)],[])).
% 4.22/3.10 tff(4448,plain,
% 4.22/3.10 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s50, c_c2) | node9(s50) | node8(s50) | node10(s50) | node11(s50) | node12(s50) | node13(s50, s51) | (~node14(s50, s51)))),
% 4.22/3.10 inference(quant_inst,[status(thm)],[])).
% 4.22/3.10 tff(4449,plain,
% 4.22/3.10 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s50, c_c2) | node9(s50) | node8(s50) | node10(s50) | node11(s50) | node12(s50) | node13(s50, s51) | (~node14(s50, s51))),
% 4.22/3.10 inference(modus_ponens,[status(thm)],[4448, 4447])).
% 4.22/3.10 tff(4450,plain,
% 4.22/3.10 (m_main_v_state2(s50, c_c2) | node9(s50) | node8(s50) | node10(s50) | node11(s50) | node12(s50) | node13(s50, s51)),
% 4.22/3.10 inference(unit_resolution,[status(thm)],[4449, 296, 4446])).
% 4.22/3.10 tff(4451,plain,
% 4.22/3.10 (node13(s50, s51)),
% 4.22/3.10 inference(unit_resolution,[status(thm)],[4450, 4435, 4392, 4388, 4384, 4380, 4363])).
% 4.22/3.10 tff(4452,plain,
% 4.22/3.10 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s50, c_n2) | (~m_main_v_state2(s51, c_n2)) | (~node13(s50, s51)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s50, c_n2) | (~m_main_v_state2(s51, c_n2)) | (~node13(s50, s51)))),
% 4.22/3.10 inference(rewrite,[status(thm)],[])).
% 4.22/3.10 tff(4453,plain,
% 4.22/3.10 (((~node13(s50, s51)) | m_main_v_state2(s50, c_n2) | (~m_main_v_state2(s51, c_n2))) <=> (m_main_v_state2(s50, c_n2) | (~m_main_v_state2(s51, c_n2)) | (~node13(s50, s51)))),
% 4.22/3.10 inference(rewrite,[status(thm)],[])).
% 4.22/3.10 tff(4454,plain,
% 4.22/3.10 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s50, s51)) | m_main_v_state2(s50, c_n2) | (~m_main_v_state2(s51, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s50, c_n2) | (~m_main_v_state2(s51, c_n2)) | (~node13(s50, s51))))),
% 4.22/3.10 inference(monotonicity,[status(thm)],[4453])).
% 4.22/3.10 tff(4455,plain,
% 4.22/3.10 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s50, s51)) | m_main_v_state2(s50, c_n2) | (~m_main_v_state2(s51, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s50, c_n2) | (~m_main_v_state2(s51, c_n2)) | (~node13(s50, s51)))),
% 4.22/3.10 inference(transitivity,[status(thm)],[4454, 4452])).
% 4.22/3.10 tff(4456,plain,
% 4.22/3.10 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s50, s51)) | m_main_v_state2(s50, c_n2) | (~m_main_v_state2(s51, c_n2)))),
% 4.22/3.10 inference(quant_inst,[status(thm)],[])).
% 4.22/3.10 tff(4457,plain,
% 4.22/3.10 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s50, c_n2) | (~m_main_v_state2(s51, c_n2)) | (~node13(s50, s51))),
% 4.22/3.10 inference(modus_ponens,[status(thm)],[4456, 4455])).
% 4.22/3.10 tff(4458,plain,
% 4.22/3.10 (~m_main_v_state2(s51, c_n2)),
% 4.22/3.10 inference(unit_resolution,[status(thm)],[4457, 311, 4376, 4451])).
% 4.22/3.10 tff(4459,plain,
% 4.22/3.10 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s51, c_n2) | (~node9(s51)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s51, c_n2) | (~node9(s51)))),
% 4.22/3.10 inference(rewrite,[status(thm)],[])).
% 4.22/3.10 tff(4460,plain,
% 4.22/3.10 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s51, c_n2) | (~node9(s51)))),
% 4.22/3.10 inference(quant_inst,[status(thm)],[])).
% 4.22/3.10 tff(4461,plain,
% 4.22/3.10 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s51, c_n2) | (~node9(s51))),
% 4.22/3.10 inference(modus_ponens,[status(thm)],[4460, 4459])).
% 4.22/3.10 tff(4462,plain,
% 4.22/3.10 (~node9(s51)),
% 4.22/3.10 inference(unit_resolution,[status(thm)],[4461, 88, 4458])).
% 4.22/3.10 tff(4463,plain,
% 4.22/3.10 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s51, c_n2) | (~node10(s51)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s51, c_n2) | (~node10(s51)))),
% 4.22/3.10 inference(rewrite,[status(thm)],[])).
% 4.22/3.10 tff(4464,plain,
% 4.22/3.10 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s51, c_n2) | (~node10(s51)))),
% 4.22/3.10 inference(quant_inst,[status(thm)],[])).
% 4.22/3.10 tff(4465,plain,
% 4.22/3.10 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s51, c_n2) | (~node10(s51))),
% 4.22/3.10 inference(modus_ponens,[status(thm)],[4464, 4463])).
% 4.22/3.10 tff(4466,plain,
% 4.22/3.10 (~node10(s51)),
% 4.22/3.10 inference(unit_resolution,[status(thm)],[4465, 249, 4458])).
% 4.22/3.10 tff(4467,plain,
% 4.22/3.10 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s50, c_t2)) | m_main_v_state2(s51, c_t2) | (~node13(s50, s51)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s50, c_t2)) | m_main_v_state2(s51, c_t2) | (~node13(s50, s51)))),
% 4.22/3.10 inference(rewrite,[status(thm)],[])).
% 4.22/3.10 tff(4468,plain,
% 4.22/3.10 (((~node13(s50, s51)) | (~m_main_v_state2(s50, c_t2)) | m_main_v_state2(s51, c_t2)) <=> ((~m_main_v_state2(s50, c_t2)) | m_main_v_state2(s51, c_t2) | (~node13(s50, s51)))),
% 4.22/3.10 inference(rewrite,[status(thm)],[])).
% 4.22/3.10 tff(4469,plain,
% 4.22/3.10 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s50, s51)) | (~m_main_v_state2(s50, c_t2)) | m_main_v_state2(s51, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s50, c_t2)) | m_main_v_state2(s51, c_t2) | (~node13(s50, s51))))),
% 4.22/3.10 inference(monotonicity,[status(thm)],[4468])).
% 4.22/3.10 tff(4470,plain,
% 4.22/3.10 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s50, s51)) | (~m_main_v_state2(s50, c_t2)) | m_main_v_state2(s51, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s50, c_t2)) | m_main_v_state2(s51, c_t2) | (~node13(s50, s51)))),
% 4.22/3.10 inference(transitivity,[status(thm)],[4469, 4467])).
% 4.22/3.10 tff(4471,plain,
% 4.22/3.10 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s50, s51)) | (~m_main_v_state2(s50, c_t2)) | m_main_v_state2(s51, c_t2))),
% 4.22/3.10 inference(quant_inst,[status(thm)],[])).
% 4.22/3.10 tff(4472,plain,
% 4.22/3.10 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s50, c_t2)) | m_main_v_state2(s51, c_t2) | (~node13(s50, s51))),
% 4.22/3.10 inference(modus_ponens,[status(thm)],[4471, 4470])).
% 4.22/3.10 tff(4473,plain,
% 4.22/3.10 (m_main_v_state2(s51, c_t2)),
% 4.22/3.10 inference(unit_resolution,[status(thm)],[4472, 518, 4372, 4451])).
% 4.22/3.10 tff(4474,plain,
% 4.22/3.10 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s50, c_t1)) | (~m_main_v_state1(s50, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s50, c_t1)) | (~m_main_v_state1(s50, c_c1)))),
% 4.22/3.10 inference(rewrite,[status(thm)],[])).
% 4.22/3.10 tff(4475,plain,
% 4.22/3.10 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s50, c_t1)) | (~m_main_v_state1(s50, c_c1)))),
% 4.22/3.10 inference(quant_inst,[status(thm)],[])).
% 4.22/3.10 tff(4476,plain,
% 4.22/3.10 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s50, c_t1)) | (~m_main_v_state1(s50, c_c1))),
% 4.22/3.10 inference(modus_ponens,[status(thm)],[4475, 4474])).
% 4.22/3.10 tff(4477,plain,
% 4.22/3.10 (~m_main_v_state1(s50, c_t1)),
% 4.22/3.10 inference(unit_resolution,[status(thm)],[4476, 539, 4427])).
% 4.22/3.10 tff(4478,plain,
% 4.22/3.10 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s50, c_t1) | (~node5(s50)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s50, c_t1) | (~node5(s50)))),
% 4.22/3.10 inference(rewrite,[status(thm)],[])).
% 4.22/3.10 tff(4479,plain,
% 4.22/3.10 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s50, c_t1) | (~node5(s50)))),
% 4.22/3.10 inference(quant_inst,[status(thm)],[])).
% 4.22/3.10 tff(4480,plain,
% 4.22/3.10 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s50, c_t1) | (~node5(s50))),
% 4.22/3.10 inference(modus_ponens,[status(thm)],[4479, 4478])).
% 4.22/3.10 tff(4481,plain,
% 4.22/3.10 (~node5(s50)),
% 4.22/3.10 inference(unit_resolution,[status(thm)],[4480, 550, 4477])).
% 4.22/3.10 tff(4482,plain,
% 4.22/3.10 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s50, c_n2) | (~node4(s50)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s50, c_n2) | (~node4(s50)))),
% 4.22/3.10 inference(rewrite,[status(thm)],[])).
% 4.22/3.10 tff(4483,plain,
% 4.22/3.10 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s50, c_n2) | (~node4(s50)))),
% 4.22/3.10 inference(quant_inst,[status(thm)],[])).
% 4.22/3.10 tff(4484,plain,
% 4.22/3.10 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s50, c_n2) | (~node4(s50))),
% 4.22/3.10 inference(modus_ponens,[status(thm)],[4483, 4482])).
% 4.22/3.10 tff(4485,plain,
% 4.22/3.10 (~node4(s50)),
% 4.22/3.10 inference(unit_resolution,[status(thm)],[4484, 388, 4376])).
% 4.22/3.10 tff(4486,plain,
% 4.22/3.10 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s50, c_c2) | (~node3(s50)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s50, c_c2) | (~node3(s50)))),
% 4.22/3.10 inference(rewrite,[status(thm)],[])).
% 4.22/3.10 tff(4487,plain,
% 4.22/3.10 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s50, c_c2) | (~node3(s50)))),
% 4.22/3.10 inference(quant_inst,[status(thm)],[])).
% 4.22/3.10 tff(4488,plain,
% 4.22/3.10 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s50, c_c2) | (~node3(s50))),
% 4.22/3.10 inference(modus_ponens,[status(thm)],[4487, 4486])).
% 4.22/3.10 tff(4489,plain,
% 4.22/3.10 (~node3(s50)),
% 4.22/3.10 inference(unit_resolution,[status(thm)],[4488, 399, 4392])).
% 4.22/3.10 tff(4490,plain,
% 4.22/3.10 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s50, c_n2) | (~node2(s50)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s50, c_n2) | (~node2(s50)))),
% 4.22/3.10 inference(rewrite,[status(thm)],[])).
% 4.22/3.10 tff(4491,plain,
% 4.22/3.10 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s50, c_n2) | (~node2(s50)))),
% 4.22/3.10 inference(quant_inst,[status(thm)],[])).
% 4.22/3.10 tff(4492,plain,
% 4.22/3.10 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s50, c_n2) | (~node2(s50))),
% 4.22/3.10 inference(modus_ponens,[status(thm)],[4491, 4490])).
% 4.22/3.10 tff(4493,plain,
% 4.22/3.10 (~node2(s50)),
% 4.22/3.10 inference(unit_resolution,[status(thm)],[4492, 410, 4376])).
% 4.22/3.10 tff(4494,plain,
% 4.22/3.10 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s50, c_n1) | (~node1(s50)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s50, c_n1) | (~node1(s50)))),
% 4.22/3.10 inference(rewrite,[status(thm)],[])).
% 4.22/3.10 tff(4495,plain,
% 4.22/3.10 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s50, c_n1) | (~node1(s50)))),
% 4.22/3.10 inference(quant_inst,[status(thm)],[])).
% 4.22/3.10 tff(4496,plain,
% 4.22/3.10 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s50, c_n1) | (~node1(s50))),
% 4.22/3.10 inference(modus_ponens,[status(thm)],[4495, 4494])).
% 4.22/3.10 tff(4497,plain,
% 4.22/3.10 (~node1(s50)),
% 4.22/3.10 inference(unit_resolution,[status(thm)],[4496, 421, 4431])).
% 4.22/3.10 tff(4498,plain,
% 4.22/3.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s50, s51)) | node7(s50, s51))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s50, s51)) | node7(s50, s51))),
% 4.22/3.10 inference(rewrite,[status(thm)],[])).
% 4.22/3.10 tff(4499,plain,
% 4.22/3.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s50, s51)) | node7(s50, s51))),
% 4.22/3.10 inference(quant_inst,[status(thm)],[])).
% 4.22/3.10 tff(4500,plain,
% 4.22/3.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s50, s51)) | node7(s50, s51)),
% 4.22/3.10 inference(modus_ponens,[status(thm)],[4499, 4498])).
% 4.22/3.10 tff(4501,plain,
% 4.22/3.10 (node7(s50, s51)),
% 4.22/3.10 inference(unit_resolution,[status(thm)],[4500, 206, 4442])).
% 4.22/3.10 tff(4502,plain,
% 4.22/3.10 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s51, c_n1) | (~m_main_v_state1(s50, c_c1)) | node1(s50) | node2(s50) | node3(s50) | node4(s50) | node5(s50) | (~node7(s50, s51)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s51, c_n1) | (~m_main_v_state1(s50, c_c1)) | node1(s50) | node2(s50) | node3(s50) | node4(s50) | node5(s50) | (~node7(s50, s51)))),
% 4.22/3.10 inference(rewrite,[status(thm)],[])).
% 4.22/3.10 tff(4503,plain,
% 4.22/3.10 (((~m_main_v_state1(s50, c_c1)) | node1(s50) | node2(s50) | node3(s50) | node4(s50) | node5(s50) | (~node7(s50, s51)) | m_main_v_state1(s51, c_n1)) <=> (m_main_v_state1(s51, c_n1) | (~m_main_v_state1(s50, c_c1)) | node1(s50) | node2(s50) | node3(s50) | node4(s50) | node5(s50) | (~node7(s50, s51)))),
% 4.22/3.10 inference(rewrite,[status(thm)],[])).
% 4.22/3.10 tff(4504,plain,
% 4.22/3.10 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s50, c_c1)) | node1(s50) | node2(s50) | node3(s50) | node4(s50) | node5(s50) | (~node7(s50, s51)) | m_main_v_state1(s51, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s51, c_n1) | (~m_main_v_state1(s50, c_c1)) | node1(s50) | node2(s50) | node3(s50) | node4(s50) | node5(s50) | (~node7(s50, s51))))),
% 4.22/3.10 inference(monotonicity,[status(thm)],[4503])).
% 4.22/3.10 tff(4505,plain,
% 4.22/3.10 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s50, c_c1)) | node1(s50) | node2(s50) | node3(s50) | node4(s50) | node5(s50) | (~node7(s50, s51)) | m_main_v_state1(s51, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s51, c_n1) | (~m_main_v_state1(s50, c_c1)) | node1(s50) | node2(s50) | node3(s50) | node4(s50) | node5(s50) | (~node7(s50, s51)))),
% 4.22/3.10 inference(transitivity,[status(thm)],[4504, 4502])).
% 4.22/3.10 tff(4506,plain,
% 4.22/3.10 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s50, c_c1)) | node1(s50) | node2(s50) | node3(s50) | node4(s50) | node5(s50) | (~node7(s50, s51)) | m_main_v_state1(s51, c_n1))),
% 4.22/3.10 inference(quant_inst,[status(thm)],[])).
% 4.22/3.10 tff(4507,plain,
% 4.22/3.10 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s51, c_n1) | (~m_main_v_state1(s50, c_c1)) | node1(s50) | node2(s50) | node3(s50) | node4(s50) | node5(s50) | (~node7(s50, s51))),
% 4.22/3.10 inference(modus_ponens,[status(thm)],[4506, 4505])).
% 4.22/3.10 tff(4508,plain,
% 4.22/3.10 (m_main_v_state1(s51, c_n1) | (~m_main_v_state1(s50, c_c1)) | node1(s50) | node2(s50) | node3(s50) | node4(s50) | node5(s50)),
% 4.22/3.10 inference(unit_resolution,[status(thm)],[4507, 584, 4501])).
% 4.22/3.10 tff(4509,plain,
% 4.22/3.10 (m_main_v_state1(s51, c_n1)),
% 4.22/3.10 inference(unit_resolution,[status(thm)],[4508, 4497, 4427, 4493, 4489, 4485, 4481])).
% 4.22/3.10 tff(4510,plain,
% 4.22/3.10 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s51, c_n2) | (~node8(s51)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s51, c_n2) | (~node8(s51)))),
% 4.22/3.10 inference(rewrite,[status(thm)],[])).
% 4.22/3.10 tff(4511,plain,
% 4.22/3.10 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s51, c_n2) | (~node8(s51)))),
% 4.22/3.10 inference(quant_inst,[status(thm)],[])).
% 4.22/3.10 tff(4512,plain,
% 4.22/3.10 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s51, c_n2) | (~node8(s51))),
% 4.22/3.10 inference(modus_ponens,[status(thm)],[4511, 4510])).
% 4.22/3.10 tff(4513,plain,
% 4.22/3.10 (~node8(s51)),
% 4.22/3.10 inference(unit_resolution,[status(thm)],[4512, 271, 4458])).
% 4.22/3.10 tff(4514,plain,
% 4.22/3.10 (succ(s51, s52) <=> succ(s51, s52)),
% 4.22/3.10 inference(rewrite,[status(thm)],[])).
% 4.22/3.10 tff(4515,axiom,(succ(s51, s52)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound52')).
% 4.22/3.10 tff(4516,plain,
% 4.22/3.10 (succ(s51, s52)),
% 4.22/3.10 inference(modus_ponens,[status(thm)],[4515, 4514])).
% 4.22/3.10 tff(4517,plain,
% 4.22/3.10 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s51, s52)) | trans(s51, s52))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s51, s52)) | trans(s51, s52))),
% 4.22/3.10 inference(rewrite,[status(thm)],[])).
% 4.22/3.10 tff(4518,plain,
% 4.22/3.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s51, s52)) | trans(s51, s52))),
% 4.22/3.10 inference(quant_inst,[status(thm)],[])).
% 4.22/3.10 tff(4519,plain,
% 4.22/3.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s51, s52)) | trans(s51, s52)),
% 4.22/3.10 inference(modus_ponens,[status(thm)],[4518, 4517])).
% 4.22/3.10 tff(4520,plain,
% 4.22/3.10 (trans(s51, s52)),
% 4.22/3.10 inference(unit_resolution,[status(thm)],[4519, 4516, 32])).
% 4.22/3.10 tff(4521,plain,
% 4.22/3.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s51, s52)) | node14(s51, s52))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s51, s52)) | node14(s51, s52))),
% 4.22/3.10 inference(rewrite,[status(thm)],[])).
% 4.22/3.11 tff(4522,plain,
% 4.22/3.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s51, s52)) | node14(s51, s52))),
% 4.22/3.11 inference(quant_inst,[status(thm)],[])).
% 4.22/3.11 tff(4523,plain,
% 4.22/3.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s51, s52)) | node14(s51, s52)),
% 4.22/3.11 inference(modus_ponens,[status(thm)],[4522, 4521])).
% 4.22/3.11 tff(4524,plain,
% 4.22/3.11 (node14(s51, s52)),
% 4.22/3.11 inference(unit_resolution,[status(thm)],[4523, 46, 4520])).
% 4.22/3.11 tff(4525,plain,
% 4.22/3.11 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s51, c_n1)) | (~m_main_v_state2(s51, c_t2)) | node9(s51) | node8(s51) | node10(s51) | (~node14(s51, s52)) | m_main_v_state2(s52, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s51, c_n1)) | (~m_main_v_state2(s51, c_t2)) | node9(s51) | node8(s51) | node10(s51) | (~node14(s51, s52)) | m_main_v_state2(s52, c_c2))),
% 4.22/3.11 inference(rewrite,[status(thm)],[])).
% 4.22/3.11 tff(4526,plain,
% 4.22/3.11 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s51, c_n1)) | (~m_main_v_state2(s51, c_t2)) | node9(s51) | node8(s51) | node10(s51) | (~node14(s51, s52)) | m_main_v_state2(s52, c_c2))),
% 4.22/3.11 inference(quant_inst,[status(thm)],[])).
% 4.22/3.11 tff(4527,plain,
% 4.22/3.11 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s51, c_n1)) | (~m_main_v_state2(s51, c_t2)) | node9(s51) | node8(s51) | node10(s51) | (~node14(s51, s52)) | m_main_v_state2(s52, c_c2)),
% 4.22/3.11 inference(modus_ponens,[status(thm)],[4526, 4525])).
% 4.22/3.11 tff(4528,plain,
% 4.22/3.11 ((~m_main_v_state1(s51, c_n1)) | (~m_main_v_state2(s51, c_t2)) | node9(s51) | node8(s51) | node10(s51) | m_main_v_state2(s52, c_c2)),
% 4.22/3.11 inference(unit_resolution,[status(thm)],[4527, 617, 4524])).
% 4.22/3.11 tff(4529,plain,
% 4.22/3.11 (m_main_v_state2(s52, c_c2)),
% 4.22/3.11 inference(unit_resolution,[status(thm)],[4528, 4513, 4509, 4473, 4466, 4462])).
% 4.22/3.11 tff(4530,plain,
% 4.22/3.11 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s52, c_t2)) | (~m_main_v_state2(s52, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s52, c_t2)) | (~m_main_v_state2(s52, c_c2)))),
% 4.22/3.11 inference(rewrite,[status(thm)],[])).
% 4.22/3.11 tff(4531,plain,
% 4.22/3.11 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s52, c_t2)) | (~m_main_v_state2(s52, c_c2)))),
% 4.22/3.11 inference(quant_inst,[status(thm)],[])).
% 4.22/3.11 tff(4532,plain,
% 4.22/3.11 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s52, c_t2)) | (~m_main_v_state2(s52, c_c2))),
% 4.22/3.11 inference(modus_ponens,[status(thm)],[4531, 4530])).
% 4.22/3.11 tff(4533,plain,
% 4.22/3.11 (~m_main_v_state2(s52, c_t2)),
% 4.22/3.11 inference(unit_resolution,[status(thm)],[4532, 260, 4529])).
% 4.22/3.11 tff(4534,plain,
% 4.22/3.11 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s52, c_t2) | (~node12(s52)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s52, c_t2) | (~node12(s52)))),
% 4.22/3.11 inference(rewrite,[status(thm)],[])).
% 4.22/3.11 tff(4535,plain,
% 4.22/3.11 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s52, c_t2) | (~node12(s52)))),
% 4.22/3.11 inference(quant_inst,[status(thm)],[])).
% 4.22/3.11 tff(4536,plain,
% 4.22/3.11 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s52, c_t2) | (~node12(s52))),
% 4.22/3.11 inference(modus_ponens,[status(thm)],[4535, 4534])).
% 4.22/3.11 tff(4537,plain,
% 4.22/3.11 (~node12(s52)),
% 4.22/3.11 inference(unit_resolution,[status(thm)],[4536, 633, 4533])).
% 4.22/3.11 tff(4538,plain,
% 4.22/3.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s51, s52)) | node7(s51, s52))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s51, s52)) | node7(s51, s52))),
% 4.22/3.11 inference(rewrite,[status(thm)],[])).
% 4.22/3.11 tff(4539,plain,
% 4.22/3.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s51, s52)) | node7(s51, s52))),
% 4.22/3.11 inference(quant_inst,[status(thm)],[])).
% 4.22/3.11 tff(4540,plain,
% 4.22/3.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s51, s52)) | node7(s51, s52)),
% 4.22/3.11 inference(modus_ponens,[status(thm)],[4539, 4538])).
% 4.22/3.11 tff(4541,plain,
% 4.22/3.11 (node7(s51, s52)),
% 4.22/3.11 inference(unit_resolution,[status(thm)],[4540, 206, 4520])).
% 4.22/3.11 tff(4542,plain,
% 4.22/3.11 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s51, c_n1)) | (~m_main_v_state2(s51, c_t2)) | (~node7(s51, s52)) | m_main_v_state1(s52, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s51, c_n1)) | (~m_main_v_state2(s51, c_t2)) | (~node7(s51, s52)) | m_main_v_state1(s52, c_t1))),
% 4.22/3.11 inference(rewrite,[status(thm)],[])).
% 4.22/3.11 tff(4543,plain,
% 4.22/3.11 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s51, c_n1)) | (~m_main_v_state2(s51, c_t2)) | (~node7(s51, s52)) | m_main_v_state1(s52, c_t1))),
% 4.22/3.11 inference(quant_inst,[status(thm)],[])).
% 4.22/3.11 tff(4544,plain,
% 4.22/3.11 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s51, c_n1)) | (~m_main_v_state2(s51, c_t2)) | (~node7(s51, s52)) | m_main_v_state1(s52, c_t1)),
% 4.22/3.11 inference(modus_ponens,[status(thm)],[4543, 4542])).
% 4.22/3.11 tff(4545,plain,
% 4.22/3.11 ((~m_main_v_state1(s51, c_n1)) | (~m_main_v_state2(s51, c_t2)) | m_main_v_state1(s52, c_t1)),
% 4.22/3.11 inference(unit_resolution,[status(thm)],[4544, 651, 4541])).
% 4.22/3.11 tff(4546,plain,
% 4.22/3.11 (m_main_v_state1(s52, c_t1)),
% 4.22/3.11 inference(unit_resolution,[status(thm)],[4545, 4473, 4509])).
% 4.22/3.11 tff(4547,plain,
% 4.22/3.11 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s52, c_n1)) | (~m_main_v_state1(s52, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s52, c_n1)) | (~m_main_v_state1(s52, c_t1)))),
% 4.22/3.11 inference(rewrite,[status(thm)],[])).
% 4.22/3.11 tff(4548,plain,
% 4.22/3.11 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s52, c_n1)) | (~m_main_v_state1(s52, c_t1)))),
% 4.22/3.11 inference(quant_inst,[status(thm)],[])).
% 4.22/3.11 tff(4549,plain,
% 4.22/3.11 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s52, c_n1)) | (~m_main_v_state1(s52, c_t1))),
% 4.22/3.11 inference(modus_ponens,[status(thm)],[4548, 4547])).
% 4.22/3.11 tff(4550,plain,
% 4.22/3.11 (~m_main_v_state1(s52, c_n1)),
% 4.22/3.11 inference(unit_resolution,[status(thm)],[4549, 10, 4546])).
% 4.22/3.11 tff(4551,plain,
% 4.22/3.11 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s52, c_n1) | (~node11(s52)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s52, c_n1) | (~node11(s52)))),
% 4.22/3.11 inference(rewrite,[status(thm)],[])).
% 4.22/3.11 tff(4552,plain,
% 4.22/3.11 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s52, c_n1) | (~node11(s52)))),
% 4.22/3.11 inference(quant_inst,[status(thm)],[])).
% 4.22/3.11 tff(4553,plain,
% 4.22/3.11 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s52, c_n1) | (~node11(s52))),
% 4.22/3.11 inference(modus_ponens,[status(thm)],[4552, 4551])).
% 4.22/3.11 tff(4554,plain,
% 4.22/3.11 (~node11(s52)),
% 4.22/3.11 inference(unit_resolution,[status(thm)],[4553, 238, 4550])).
% 4.22/3.11 tff(4555,plain,
% 4.22/3.11 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s52, c_t1)) | (~m_main_v_state1(s52, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s52, c_t1)) | (~m_main_v_state1(s52, c_c1)))),
% 4.22/3.11 inference(rewrite,[status(thm)],[])).
% 4.22/3.11 tff(4556,plain,
% 4.22/3.11 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s52, c_t1)) | (~m_main_v_state1(s52, c_c1)))),
% 4.22/3.11 inference(quant_inst,[status(thm)],[])).
% 4.22/3.11 tff(4557,plain,
% 4.22/3.11 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s52, c_t1)) | (~m_main_v_state1(s52, c_c1))),
% 4.22/3.11 inference(modus_ponens,[status(thm)],[4556, 4555])).
% 4.22/3.11 tff(4558,plain,
% 4.22/3.11 (~m_main_v_state1(s52, c_c1)),
% 4.22/3.11 inference(unit_resolution,[status(thm)],[4557, 539, 4546])).
% 4.22/3.11 tff(4559,plain,
% 4.22/3.11 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s52, c_c1) | (~node10(s52)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s52, c_c1) | (~node10(s52)))),
% 4.22/3.11 inference(rewrite,[status(thm)],[])).
% 4.22/3.11 tff(4560,plain,
% 4.22/3.11 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s52, c_c1) | (~node10(s52)))),
% 4.22/3.11 inference(quant_inst,[status(thm)],[])).
% 4.22/3.11 tff(4561,plain,
% 4.22/3.11 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s52, c_c1) | (~node10(s52))),
% 4.22/3.11 inference(modus_ponens,[status(thm)],[4560, 4559])).
% 4.22/3.11 tff(4562,plain,
% 4.22/3.11 (~node10(s52)),
% 4.22/3.11 inference(unit_resolution,[status(thm)],[4561, 675, 4558])).
% 4.22/3.11 tff(4563,plain,
% 4.22/3.11 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s52, c_n1) | (~node9(s52)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s52, c_n1) | (~node9(s52)))),
% 4.22/3.11 inference(rewrite,[status(thm)],[])).
% 4.22/3.11 tff(4564,plain,
% 4.22/3.11 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s52, c_n1) | (~node9(s52)))),
% 4.22/3.11 inference(quant_inst,[status(thm)],[])).
% 4.22/3.11 tff(4565,plain,
% 4.22/3.11 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s52, c_n1) | (~node9(s52))),
% 4.22/3.11 inference(modus_ponens,[status(thm)],[4564, 4563])).
% 4.22/3.11 tff(4566,plain,
% 4.22/3.11 (~node9(s52)),
% 4.22/3.11 inference(unit_resolution,[status(thm)],[4565, 686, 4550])).
% 4.22/3.11 tff(4567,plain,
% 4.22/3.11 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s52, c_n2)) | (~m_main_v_state2(s52, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s52, c_n2)) | (~m_main_v_state2(s52, c_c2)))),
% 4.22/3.11 inference(rewrite,[status(thm)],[])).
% 4.22/3.11 tff(4568,plain,
% 4.22/3.11 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s52, c_n2)) | (~m_main_v_state2(s52, c_c2)))),
% 4.22/3.11 inference(quant_inst,[status(thm)],[])).
% 4.22/3.11 tff(4569,plain,
% 4.22/3.11 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s52, c_n2)) | (~m_main_v_state2(s52, c_c2))),
% 4.22/3.11 inference(modus_ponens,[status(thm)],[4568, 4567])).
% 4.22/3.11 tff(4570,plain,
% 4.22/3.11 (~m_main_v_state2(s52, c_n2)),
% 4.22/3.11 inference(unit_resolution,[status(thm)],[4569, 697, 4529])).
% 4.22/3.11 tff(4571,plain,
% 4.22/3.11 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s52, c_n2) | (~node8(s52)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s52, c_n2) | (~node8(s52)))),
% 4.22/3.11 inference(rewrite,[status(thm)],[])).
% 4.22/3.11 tff(4572,plain,
% 4.22/3.11 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s52, c_n2) | (~node8(s52)))),
% 4.22/3.11 inference(quant_inst,[status(thm)],[])).
% 4.22/3.11 tff(4573,plain,
% 4.22/3.11 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s52, c_n2) | (~node8(s52))),
% 4.22/3.11 inference(modus_ponens,[status(thm)],[4572, 4571])).
% 4.22/3.11 tff(4574,plain,
% 4.22/3.11 (~node8(s52)),
% 4.22/3.11 inference(unit_resolution,[status(thm)],[4573, 271, 4570])).
% 4.22/3.11 tff(4575,plain,
% 4.22/3.11 (succ(s52, s53) <=> succ(s52, s53)),
% 4.22/3.11 inference(rewrite,[status(thm)],[])).
% 4.22/3.11 tff(4576,axiom,(succ(s52, s53)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound53')).
% 4.22/3.11 tff(4577,plain,
% 4.22/3.11 (succ(s52, s53)),
% 4.22/3.11 inference(modus_ponens,[status(thm)],[4576, 4575])).
% 4.22/3.11 tff(4578,plain,
% 4.22/3.11 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s52, s53)) | trans(s52, s53))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s52, s53)) | trans(s52, s53))),
% 4.22/3.11 inference(rewrite,[status(thm)],[])).
% 4.22/3.11 tff(4579,plain,
% 4.22/3.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s52, s53)) | trans(s52, s53))),
% 4.22/3.11 inference(quant_inst,[status(thm)],[])).
% 4.22/3.11 tff(4580,plain,
% 4.22/3.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s52, s53)) | trans(s52, s53)),
% 4.22/3.11 inference(modus_ponens,[status(thm)],[4579, 4578])).
% 4.22/3.11 tff(4581,plain,
% 4.22/3.11 (trans(s52, s53)),
% 4.22/3.11 inference(unit_resolution,[status(thm)],[4580, 4577, 32])).
% 4.22/3.11 tff(4582,plain,
% 4.22/3.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s52, s53)) | node14(s52, s53))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s52, s53)) | node14(s52, s53))),
% 4.22/3.11 inference(rewrite,[status(thm)],[])).
% 4.22/3.11 tff(4583,plain,
% 4.22/3.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s52, s53)) | node14(s52, s53))),
% 4.22/3.11 inference(quant_inst,[status(thm)],[])).
% 4.22/3.11 tff(4584,plain,
% 4.22/3.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s52, s53)) | node14(s52, s53)),
% 4.22/3.11 inference(modus_ponens,[status(thm)],[4583, 4582])).
% 4.22/3.11 tff(4585,plain,
% 4.22/3.11 (node14(s52, s53)),
% 4.22/3.11 inference(unit_resolution,[status(thm)],[4584, 46, 4581])).
% 4.22/3.11 tff(4586,plain,
% 4.22/3.11 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s53, c_n2) | node9(s52) | node8(s52) | node10(s52) | node11(s52) | node12(s52) | (~node14(s52, s53)) | (~m_main_v_state2(s52, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s53, c_n2) | node9(s52) | node8(s52) | node10(s52) | node11(s52) | node12(s52) | (~node14(s52, s53)) | (~m_main_v_state2(s52, c_c2)))),
% 4.22/3.11 inference(rewrite,[status(thm)],[])).
% 4.22/3.11 tff(4587,plain,
% 4.22/3.11 (((~m_main_v_state2(s52, c_c2)) | node9(s52) | node8(s52) | node10(s52) | node11(s52) | node12(s52) | (~node14(s52, s53)) | m_main_v_state2(s53, c_n2)) <=> (m_main_v_state2(s53, c_n2) | node9(s52) | node8(s52) | node10(s52) | node11(s52) | node12(s52) | (~node14(s52, s53)) | (~m_main_v_state2(s52, c_c2)))),
% 4.22/3.11 inference(rewrite,[status(thm)],[])).
% 4.22/3.11 tff(4588,plain,
% 4.22/3.11 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s52, c_c2)) | node9(s52) | node8(s52) | node10(s52) | node11(s52) | node12(s52) | (~node14(s52, s53)) | m_main_v_state2(s53, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s53, c_n2) | node9(s52) | node8(s52) | node10(s52) | node11(s52) | node12(s52) | (~node14(s52, s53)) | (~m_main_v_state2(s52, c_c2))))),
% 4.22/3.11 inference(monotonicity,[status(thm)],[4587])).
% 4.22/3.11 tff(4589,plain,
% 4.22/3.11 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s52, c_c2)) | node9(s52) | node8(s52) | node10(s52) | node11(s52) | node12(s52) | (~node14(s52, s53)) | m_main_v_state2(s53, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s53, c_n2) | node9(s52) | node8(s52) | node10(s52) | node11(s52) | node12(s52) | (~node14(s52, s53)) | (~m_main_v_state2(s52, c_c2)))),
% 4.22/3.11 inference(transitivity,[status(thm)],[4588, 4586])).
% 4.22/3.11 tff(4590,plain,
% 4.22/3.11 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s52, c_c2)) | node9(s52) | node8(s52) | node10(s52) | node11(s52) | node12(s52) | (~node14(s52, s53)) | m_main_v_state2(s53, c_n2))),
% 4.22/3.11 inference(quant_inst,[status(thm)],[])).
% 4.22/3.11 tff(4591,plain,
% 4.22/3.11 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s53, c_n2) | node9(s52) | node8(s52) | node10(s52) | node11(s52) | node12(s52) | (~node14(s52, s53)) | (~m_main_v_state2(s52, c_c2))),
% 4.22/3.11 inference(modus_ponens,[status(thm)],[4590, 4589])).
% 4.22/3.11 tff(4592,plain,
% 4.22/3.11 (m_main_v_state2(s53, c_n2) | node9(s52) | node8(s52) | node10(s52) | node11(s52) | node12(s52) | (~m_main_v_state2(s52, c_c2))),
% 4.22/3.11 inference(unit_resolution,[status(thm)],[4591, 726, 4585])).
% 4.22/3.11 tff(4593,plain,
% 4.22/3.11 (m_main_v_state2(s53, c_n2)),
% 4.22/3.11 inference(unit_resolution,[status(thm)],[4592, 4574, 4529, 4566, 4562, 4554, 4537])).
% 4.22/3.11 tff(4594,plain,
% 4.22/3.11 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s53, c_n2)) | (~m_main_v_state2(s53, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s53, c_n2)) | (~m_main_v_state2(s53, c_c2)))),
% 4.22/3.11 inference(rewrite,[status(thm)],[])).
% 4.22/3.11 tff(4595,plain,
% 4.22/3.11 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s53, c_n2)) | (~m_main_v_state2(s53, c_c2)))),
% 4.22/3.11 inference(quant_inst,[status(thm)],[])).
% 4.22/3.11 tff(4596,plain,
% 4.22/3.11 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s53, c_n2)) | (~m_main_v_state2(s53, c_c2))),
% 4.22/3.11 inference(modus_ponens,[status(thm)],[4595, 4594])).
% 4.22/3.11 tff(4597,plain,
% 4.22/3.11 (~m_main_v_state2(s53, c_c2)),
% 4.22/3.11 inference(unit_resolution,[status(thm)],[4596, 697, 4593])).
% 4.22/3.11 tff(4598,plain,
% 4.22/3.11 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s53, c_c2) | (~node3(s53)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s53, c_c2) | (~node3(s53)))),
% 4.22/3.11 inference(rewrite,[status(thm)],[])).
% 4.22/3.11 tff(4599,plain,
% 4.22/3.11 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s53, c_c2) | (~node3(s53)))),
% 4.22/3.11 inference(quant_inst,[status(thm)],[])).
% 4.22/3.11 tff(4600,plain,
% 4.22/3.11 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s53, c_c2) | (~node3(s53))),
% 4.22/3.11 inference(modus_ponens,[status(thm)],[4599, 4598])).
% 4.22/3.11 tff(4601,plain,
% 4.22/3.11 (~node3(s53)),
% 4.22/3.11 inference(unit_resolution,[status(thm)],[4600, 399, 4597])).
% 4.22/3.11 tff(4602,plain,
% 4.22/3.11 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s52, c_n1) | (~node1(s52)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s52, c_n1) | (~node1(s52)))),
% 4.22/3.11 inference(rewrite,[status(thm)],[])).
% 4.22/3.11 tff(4603,plain,
% 4.22/3.11 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s52, c_n1) | (~node1(s52)))),
% 4.22/3.11 inference(quant_inst,[status(thm)],[])).
% 4.22/3.11 tff(4604,plain,
% 4.22/3.11 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s52, c_n1) | (~node1(s52))),
% 4.22/3.11 inference(modus_ponens,[status(thm)],[4603, 4602])).
% 4.22/3.11 tff(4605,plain,
% 4.22/3.11 (~node1(s52)),
% 4.22/3.11 inference(unit_resolution,[status(thm)],[4604, 421, 4550])).
% 4.22/3.11 tff(4606,plain,
% 4.22/3.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s51, s52)) | node18(s51, s52))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s51, s52)) | node18(s51, s52))),
% 4.22/3.11 inference(rewrite,[status(thm)],[])).
% 4.22/3.11 tff(4607,plain,
% 4.22/3.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s51, s52)) | node18(s51, s52))),
% 4.22/3.11 inference(quant_inst,[status(thm)],[])).
% 4.22/3.11 tff(4608,plain,
% 4.22/3.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s51, s52)) | node18(s51, s52)),
% 4.22/3.11 inference(modus_ponens,[status(thm)],[4607, 4606])).
% 4.22/3.11 tff(4609,plain,
% 4.22/3.11 (node18(s51, s52)),
% 4.22/3.11 inference(unit_resolution,[status(thm)],[4608, 125, 4520])).
% 4.22/3.11 tff(4610,plain,
% 4.22/3.11 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s51, c_n1)) | (~m_main_v_state2(s51, c_t2)) | (~node18(s51, s52)) | m_main_v_turn(s52, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s51, c_n1)) | (~m_main_v_state2(s51, c_t2)) | (~node18(s51, s52)) | m_main_v_turn(s52, c_2))),
% 4.22/3.11 inference(rewrite,[status(thm)],[])).
% 4.22/3.11 tff(4611,plain,
% 4.22/3.11 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s51, c_n1)) | (~m_main_v_state2(s51, c_t2)) | (~node18(s51, s52)) | m_main_v_turn(s52, c_2))),
% 4.22/3.11 inference(quant_inst,[status(thm)],[])).
% 4.22/3.11 tff(4612,plain,
% 4.22/3.11 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s51, c_n1)) | (~m_main_v_state2(s51, c_t2)) | (~node18(s51, s52)) | m_main_v_turn(s52, c_2)),
% 4.22/3.11 inference(modus_ponens,[status(thm)],[4611, 4610])).
% 4.22/3.11 tff(4613,plain,
% 4.22/3.11 ((~m_main_v_state1(s51, c_n1)) | (~m_main_v_state2(s51, c_t2)) | m_main_v_turn(s52, c_2)),
% 4.22/3.11 inference(unit_resolution,[status(thm)],[4612, 760, 4609])).
% 4.22/3.11 tff(4614,plain,
% 4.22/3.11 (m_main_v_turn(s52, c_2)),
% 4.22/3.11 inference(unit_resolution,[status(thm)],[4613, 4473, 4509])).
% 4.22/3.11 tff(4615,plain,
% 4.22/3.11 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s52, c_1)) | (~m_main_v_turn(s52, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s52, c_1)) | (~m_main_v_turn(s52, c_2)))),
% 4.22/3.11 inference(rewrite,[status(thm)],[])).
% 4.22/3.11 tff(4616,plain,
% 4.22/3.11 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s52, c_1)) | (~m_main_v_turn(s52, c_2)))),
% 4.22/3.11 inference(quant_inst,[status(thm)],[])).
% 4.22/3.11 tff(4617,plain,
% 4.22/3.11 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s52, c_1)) | (~m_main_v_turn(s52, c_2))),
% 4.22/3.11 inference(modus_ponens,[status(thm)],[4616, 4615])).
% 4.22/3.11 tff(4618,plain,
% 4.22/3.11 (~m_main_v_turn(s52, c_1)),
% 4.22/3.11 inference(unit_resolution,[status(thm)],[4617, 156, 4614])).
% 4.22/3.11 tff(4619,plain,
% 4.22/3.11 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s52, c_1) | (~node5(s52)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s52, c_1) | (~node5(s52)))),
% 4.22/3.11 inference(rewrite,[status(thm)],[])).
% 4.22/3.11 tff(4620,plain,
% 4.22/3.11 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s52, c_1) | (~node5(s52)))),
% 4.22/3.11 inference(quant_inst,[status(thm)],[])).
% 4.22/3.11 tff(4621,plain,
% 4.22/3.11 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s52, c_1) | (~node5(s52))),
% 4.22/3.11 inference(modus_ponens,[status(thm)],[4620, 4619])).
% 4.22/3.11 tff(4622,plain,
% 4.22/3.11 (~node5(s52)),
% 4.22/3.11 inference(unit_resolution,[status(thm)],[4621, 776, 4618])).
% 4.22/3.11 tff(4623,plain,
% 4.22/3.11 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s52, c_n1) | (~node2(s52)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s52, c_n1) | (~node2(s52)))),
% 4.22/3.11 inference(rewrite,[status(thm)],[])).
% 4.22/3.11 tff(4624,plain,
% 4.22/3.11 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s52, c_n1) | (~node2(s52)))),
% 4.22/3.11 inference(quant_inst,[status(thm)],[])).
% 4.22/3.11 tff(4625,plain,
% 4.22/3.11 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s52, c_n1) | (~node2(s52))),
% 4.22/3.11 inference(modus_ponens,[status(thm)],[4624, 4623])).
% 4.22/3.11 tff(4626,plain,
% 4.22/3.11 (~node2(s52)),
% 4.22/3.11 inference(unit_resolution,[status(thm)],[4625, 787, 4550])).
% 4.22/3.11 tff(4627,plain,
% 4.22/3.11 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s52, c_n1) | (~node3(s52)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s52, c_n1) | (~node3(s52)))),
% 4.22/3.11 inference(rewrite,[status(thm)],[])).
% 4.22/3.11 tff(4628,plain,
% 4.22/3.11 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s52, c_n1) | (~node3(s52)))),
% 4.22/3.11 inference(quant_inst,[status(thm)],[])).
% 4.22/3.11 tff(4629,plain,
% 4.22/3.11 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s52, c_n1) | (~node3(s52))),
% 4.22/3.11 inference(modus_ponens,[status(thm)],[4628, 4627])).
% 4.22/3.11 tff(4630,plain,
% 4.22/3.11 (~node3(s52)),
% 4.22/3.11 inference(unit_resolution,[status(thm)],[4629, 798, 4550])).
% 4.22/3.11 tff(4631,plain,
% 4.22/3.11 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s52, c_n2) | (~node4(s52)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s52, c_n2) | (~node4(s52)))),
% 4.22/3.11 inference(rewrite,[status(thm)],[])).
% 4.22/3.11 tff(4632,plain,
% 4.22/3.11 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s52, c_n2) | (~node4(s52)))),
% 4.22/3.11 inference(quant_inst,[status(thm)],[])).
% 4.22/3.11 tff(4633,plain,
% 4.22/3.11 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s52, c_n2) | (~node4(s52))),
% 4.22/3.11 inference(modus_ponens,[status(thm)],[4632, 4631])).
% 4.22/3.11 tff(4634,plain,
% 4.22/3.11 (~node4(s52)),
% 4.22/3.11 inference(unit_resolution,[status(thm)],[4633, 388, 4570])).
% 4.22/3.11 tff(4635,plain,
% 4.22/3.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s52, s53)) | node7(s52, s53))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s52, s53)) | node7(s52, s53))),
% 4.22/3.11 inference(rewrite,[status(thm)],[])).
% 4.22/3.11 tff(4636,plain,
% 4.22/3.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s52, s53)) | node7(s52, s53))),
% 4.22/3.11 inference(quant_inst,[status(thm)],[])).
% 4.22/3.11 tff(4637,plain,
% 4.22/3.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s52, s53)) | node7(s52, s53)),
% 4.22/3.11 inference(modus_ponens,[status(thm)],[4636, 4635])).
% 4.22/3.11 tff(4638,plain,
% 4.22/3.11 (node7(s52, s53)),
% 4.22/3.11 inference(unit_resolution,[status(thm)],[4637, 206, 4581])).
% 4.22/3.11 tff(4639,plain,
% 4.22/3.11 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s52, c_c1) | node1(s52) | node2(s52) | node3(s52) | node4(s52) | node5(s52) | node6(s52, s53) | (~node7(s52, s53)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s52, c_c1) | node1(s52) | node2(s52) | node3(s52) | node4(s52) | node5(s52) | node6(s52, s53) | (~node7(s52, s53)))),
% 4.22/3.11 inference(rewrite,[status(thm)],[])).
% 4.22/3.11 tff(4640,plain,
% 4.22/3.11 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s52, c_c1) | node1(s52) | node2(s52) | node3(s52) | node4(s52) | node5(s52) | node6(s52, s53) | (~node7(s52, s53)))),
% 4.22/3.11 inference(quant_inst,[status(thm)],[])).
% 4.22/3.11 tff(4641,plain,
% 4.22/3.11 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s52, c_c1) | node1(s52) | node2(s52) | node3(s52) | node4(s52) | node5(s52) | node6(s52, s53) | (~node7(s52, s53))),
% 4.22/3.11 inference(modus_ponens,[status(thm)],[4640, 4639])).
% 4.22/3.11 tff(4642,plain,
% 4.22/3.11 (m_main_v_state1(s52, c_c1) | node1(s52) | node2(s52) | node3(s52) | node4(s52) | node5(s52) | node6(s52, s53)),
% 4.22/3.11 inference(unit_resolution,[status(thm)],[4641, 820, 4638])).
% 4.22/3.11 tff(4643,plain,
% 4.22/3.11 (node6(s52, s53)),
% 4.22/3.11 inference(unit_resolution,[status(thm)],[4642, 4634, 4558, 4630, 4626, 4622, 4605])).
% 4.22/3.11 tff(4644,plain,
% 4.22/3.11 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s52, c_n1) | (~m_main_v_state1(s53, c_n1)) | (~node6(s52, s53)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s52, c_n1) | (~m_main_v_state1(s53, c_n1)) | (~node6(s52, s53)))),
% 4.22/3.11 inference(rewrite,[status(thm)],[])).
% 4.22/3.11 tff(4645,plain,
% 4.22/3.11 (((~node6(s52, s53)) | m_main_v_state1(s52, c_n1) | (~m_main_v_state1(s53, c_n1))) <=> (m_main_v_state1(s52, c_n1) | (~m_main_v_state1(s53, c_n1)) | (~node6(s52, s53)))),
% 4.22/3.11 inference(rewrite,[status(thm)],[])).
% 4.22/3.11 tff(4646,plain,
% 4.22/3.11 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s52, s53)) | m_main_v_state1(s52, c_n1) | (~m_main_v_state1(s53, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s52, c_n1) | (~m_main_v_state1(s53, c_n1)) | (~node6(s52, s53))))),
% 4.22/3.11 inference(monotonicity,[status(thm)],[4645])).
% 4.22/3.11 tff(4647,plain,
% 4.22/3.11 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s52, s53)) | m_main_v_state1(s52, c_n1) | (~m_main_v_state1(s53, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s52, c_n1) | (~m_main_v_state1(s53, c_n1)) | (~node6(s52, s53)))),
% 4.22/3.12 inference(transitivity,[status(thm)],[4646, 4644])).
% 4.22/3.12 tff(4648,plain,
% 4.22/3.12 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s52, s53)) | m_main_v_state1(s52, c_n1) | (~m_main_v_state1(s53, c_n1)))),
% 4.22/3.12 inference(quant_inst,[status(thm)],[])).
% 4.22/3.12 tff(4649,plain,
% 4.22/3.12 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s52, c_n1) | (~m_main_v_state1(s53, c_n1)) | (~node6(s52, s53))),
% 4.22/3.12 inference(modus_ponens,[status(thm)],[4648, 4647])).
% 4.22/3.12 tff(4650,plain,
% 4.22/3.12 (~m_main_v_state1(s53, c_n1)),
% 4.22/3.12 inference(unit_resolution,[status(thm)],[4649, 835, 4550, 4643])).
% 4.22/3.12 tff(4651,plain,
% 4.22/3.12 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s53, c_n1) | (~node2(s53)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s53, c_n1) | (~node2(s53)))),
% 4.22/3.12 inference(rewrite,[status(thm)],[])).
% 4.22/3.12 tff(4652,plain,
% 4.22/3.12 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s53, c_n1) | (~node2(s53)))),
% 4.22/3.12 inference(quant_inst,[status(thm)],[])).
% 4.22/3.12 tff(4653,plain,
% 4.22/3.12 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s53, c_n1) | (~node2(s53))),
% 4.22/3.12 inference(modus_ponens,[status(thm)],[4652, 4651])).
% 4.22/3.12 tff(4654,plain,
% 4.22/3.12 (~node2(s53)),
% 4.22/3.12 inference(unit_resolution,[status(thm)],[4653, 787, 4650])).
% 4.22/3.12 tff(4655,plain,
% 4.22/3.12 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s52, c_t1)) | m_main_v_state1(s53, c_t1) | (~node6(s52, s53)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s52, c_t1)) | m_main_v_state1(s53, c_t1) | (~node6(s52, s53)))),
% 4.22/3.12 inference(rewrite,[status(thm)],[])).
% 4.22/3.12 tff(4656,plain,
% 4.22/3.12 (((~node6(s52, s53)) | (~m_main_v_state1(s52, c_t1)) | m_main_v_state1(s53, c_t1)) <=> ((~m_main_v_state1(s52, c_t1)) | m_main_v_state1(s53, c_t1) | (~node6(s52, s53)))),
% 4.22/3.12 inference(rewrite,[status(thm)],[])).
% 4.22/3.12 tff(4657,plain,
% 4.22/3.12 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s52, s53)) | (~m_main_v_state1(s52, c_t1)) | m_main_v_state1(s53, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s52, c_t1)) | m_main_v_state1(s53, c_t1) | (~node6(s52, s53))))),
% 4.22/3.12 inference(monotonicity,[status(thm)],[4656])).
% 4.22/3.12 tff(4658,plain,
% 4.22/3.12 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s52, s53)) | (~m_main_v_state1(s52, c_t1)) | m_main_v_state1(s53, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s52, c_t1)) | m_main_v_state1(s53, c_t1) | (~node6(s52, s53)))),
% 4.22/3.12 inference(transitivity,[status(thm)],[4657, 4655])).
% 4.22/3.12 tff(4659,plain,
% 4.22/3.12 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s52, s53)) | (~m_main_v_state1(s52, c_t1)) | m_main_v_state1(s53, c_t1))),
% 4.22/3.12 inference(quant_inst,[status(thm)],[])).
% 4.22/3.12 tff(4660,plain,
% 4.22/3.12 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s52, c_t1)) | m_main_v_state1(s53, c_t1) | (~node6(s52, s53))),
% 4.22/3.12 inference(modus_ponens,[status(thm)],[4659, 4658])).
% 4.22/3.12 tff(4661,plain,
% 4.22/3.12 (m_main_v_state1(s53, c_t1)),
% 4.22/3.12 inference(unit_resolution,[status(thm)],[4660, 856, 4546, 4643])).
% 4.22/3.12 tff(4662,plain,
% 4.22/3.12 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s53, c_n2)) | (~m_main_v_state2(s53, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s53, c_n2)) | (~m_main_v_state2(s53, c_t2)))),
% 4.22/3.12 inference(rewrite,[status(thm)],[])).
% 4.22/3.12 tff(4663,plain,
% 4.22/3.12 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s53, c_n2)) | (~m_main_v_state2(s53, c_t2)))),
% 4.22/3.12 inference(quant_inst,[status(thm)],[])).
% 4.22/3.12 tff(4664,plain,
% 4.22/3.12 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s53, c_n2)) | (~m_main_v_state2(s53, c_t2))),
% 4.22/3.12 inference(modus_ponens,[status(thm)],[4663, 4662])).
% 4.22/3.12 tff(4665,plain,
% 4.22/3.12 (~m_main_v_state2(s53, c_t2)),
% 4.22/3.12 inference(unit_resolution,[status(thm)],[4664, 77, 4593])).
% 4.22/3.12 tff(4666,plain,
% 4.22/3.12 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s53, c_t2) | (~node1(s53)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s53, c_t2) | (~node1(s53)))),
% 4.22/3.12 inference(rewrite,[status(thm)],[])).
% 4.22/3.12 tff(4667,plain,
% 4.22/3.12 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s53, c_t2) | (~node1(s53)))),
% 4.22/3.12 inference(quant_inst,[status(thm)],[])).
% 4.22/3.12 tff(4668,plain,
% 4.22/3.12 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s53, c_t2) | (~node1(s53))),
% 4.22/3.12 inference(modus_ponens,[status(thm)],[4667, 4666])).
% 4.22/3.12 tff(4669,plain,
% 4.22/3.12 (~node1(s53)),
% 4.22/3.12 inference(unit_resolution,[status(thm)],[4668, 195, 4665])).
% 4.22/3.12 tff(4670,plain,
% 4.22/3.12 (succ(s53, s54) <=> succ(s53, s54)),
% 4.22/3.12 inference(rewrite,[status(thm)],[])).
% 4.22/3.12 tff(4671,axiom,(succ(s53, s54)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound54')).
% 4.22/3.12 tff(4672,plain,
% 4.22/3.12 (succ(s53, s54)),
% 4.22/3.12 inference(modus_ponens,[status(thm)],[4671, 4670])).
% 4.22/3.12 tff(4673,plain,
% 4.22/3.12 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s53, s54)) | trans(s53, s54))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s53, s54)) | trans(s53, s54))),
% 4.22/3.12 inference(rewrite,[status(thm)],[])).
% 4.22/3.12 tff(4674,plain,
% 4.22/3.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s53, s54)) | trans(s53, s54))),
% 4.22/3.12 inference(quant_inst,[status(thm)],[])).
% 4.22/3.12 tff(4675,plain,
% 4.22/3.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s53, s54)) | trans(s53, s54)),
% 4.22/3.12 inference(modus_ponens,[status(thm)],[4674, 4673])).
% 4.22/3.12 tff(4676,plain,
% 4.22/3.12 (trans(s53, s54)),
% 4.22/3.12 inference(unit_resolution,[status(thm)],[4675, 4672, 32])).
% 4.22/3.12 tff(4677,plain,
% 4.22/3.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s53, s54)) | node7(s53, s54))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s53, s54)) | node7(s53, s54))),
% 4.22/3.12 inference(rewrite,[status(thm)],[])).
% 4.22/3.12 tff(4678,plain,
% 4.22/3.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s53, s54)) | node7(s53, s54))),
% 4.22/3.12 inference(quant_inst,[status(thm)],[])).
% 4.22/3.12 tff(4679,plain,
% 4.22/3.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s53, s54)) | node7(s53, s54)),
% 4.22/3.12 inference(modus_ponens,[status(thm)],[4678, 4677])).
% 4.22/3.12 tff(4680,plain,
% 4.22/3.12 (node7(s53, s54)),
% 4.22/3.12 inference(unit_resolution,[status(thm)],[4679, 206, 4676])).
% 4.22/3.12 tff(4681,plain,
% 4.22/3.12 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s53, c_t1)) | (~m_main_v_state2(s53, c_n2)) | m_main_v_state1(s54, c_c1) | node1(s53) | node2(s53) | node3(s53) | (~node7(s53, s54)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s53, c_t1)) | (~m_main_v_state2(s53, c_n2)) | m_main_v_state1(s54, c_c1) | node1(s53) | node2(s53) | node3(s53) | (~node7(s53, s54)))),
% 4.22/3.12 inference(rewrite,[status(thm)],[])).
% 4.22/3.12 tff(4682,plain,
% 4.22/3.12 (((~m_main_v_state1(s53, c_t1)) | (~m_main_v_state2(s53, c_n2)) | node1(s53) | node2(s53) | node3(s53) | (~node7(s53, s54)) | m_main_v_state1(s54, c_c1)) <=> ((~m_main_v_state1(s53, c_t1)) | (~m_main_v_state2(s53, c_n2)) | m_main_v_state1(s54, c_c1) | node1(s53) | node2(s53) | node3(s53) | (~node7(s53, s54)))),
% 4.22/3.12 inference(rewrite,[status(thm)],[])).
% 4.22/3.12 tff(4683,plain,
% 4.22/3.12 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s53, c_t1)) | (~m_main_v_state2(s53, c_n2)) | node1(s53) | node2(s53) | node3(s53) | (~node7(s53, s54)) | m_main_v_state1(s54, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s53, c_t1)) | (~m_main_v_state2(s53, c_n2)) | m_main_v_state1(s54, c_c1) | node1(s53) | node2(s53) | node3(s53) | (~node7(s53, s54))))),
% 4.22/3.12 inference(monotonicity,[status(thm)],[4682])).
% 4.22/3.12 tff(4684,plain,
% 4.22/3.12 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s53, c_t1)) | (~m_main_v_state2(s53, c_n2)) | node1(s53) | node2(s53) | node3(s53) | (~node7(s53, s54)) | m_main_v_state1(s54, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s53, c_t1)) | (~m_main_v_state2(s53, c_n2)) | m_main_v_state1(s54, c_c1) | node1(s53) | node2(s53) | node3(s53) | (~node7(s53, s54)))),
% 4.22/3.12 inference(transitivity,[status(thm)],[4683, 4681])).
% 4.22/3.12 tff(4685,plain,
% 4.22/3.12 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s53, c_t1)) | (~m_main_v_state2(s53, c_n2)) | node1(s53) | node2(s53) | node3(s53) | (~node7(s53, s54)) | m_main_v_state1(s54, c_c1))),
% 4.22/3.12 inference(quant_inst,[status(thm)],[])).
% 4.22/3.12 tff(4686,plain,
% 4.22/3.12 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s53, c_t1)) | (~m_main_v_state2(s53, c_n2)) | m_main_v_state1(s54, c_c1) | node1(s53) | node2(s53) | node3(s53) | (~node7(s53, s54))),
% 4.22/3.12 inference(modus_ponens,[status(thm)],[4685, 4684])).
% 4.22/3.12 tff(4687,plain,
% 4.22/3.12 ((~m_main_v_state1(s53, c_t1)) | (~m_main_v_state2(s53, c_n2)) | m_main_v_state1(s54, c_c1) | node1(s53) | node2(s53) | node3(s53)),
% 4.22/3.12 inference(unit_resolution,[status(thm)],[4686, 892, 4680])).
% 4.22/3.12 tff(4688,plain,
% 4.22/3.12 (m_main_v_state1(s54, c_c1)),
% 4.22/3.12 inference(unit_resolution,[status(thm)],[4687, 4669, 4593, 4661, 4654, 4601])).
% 4.22/3.12 tff(4689,plain,
% 4.22/3.12 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s54, c_t1)) | (~m_main_v_state1(s54, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s54, c_t1)) | (~m_main_v_state1(s54, c_c1)))),
% 4.22/3.12 inference(rewrite,[status(thm)],[])).
% 4.22/3.12 tff(4690,plain,
% 4.22/3.12 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s54, c_t1)) | (~m_main_v_state1(s54, c_c1)))),
% 4.22/3.12 inference(quant_inst,[status(thm)],[])).
% 4.22/3.12 tff(4691,plain,
% 4.22/3.12 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s54, c_t1)) | (~m_main_v_state1(s54, c_c1))),
% 4.22/3.12 inference(modus_ponens,[status(thm)],[4690, 4689])).
% 4.22/3.12 tff(4692,plain,
% 4.22/3.12 (~m_main_v_state1(s54, c_t1)),
% 4.22/3.12 inference(unit_resolution,[status(thm)],[4691, 539, 4688])).
% 4.22/3.12 tff(4693,plain,
% 4.22/3.12 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s54, c_t1) | (~node5(s54)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s54, c_t1) | (~node5(s54)))),
% 4.22/3.12 inference(rewrite,[status(thm)],[])).
% 4.22/3.12 tff(4694,plain,
% 4.22/3.12 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s54, c_t1) | (~node5(s54)))),
% 4.22/3.12 inference(quant_inst,[status(thm)],[])).
% 4.22/3.12 tff(4695,plain,
% 4.22/3.12 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s54, c_t1) | (~node5(s54))),
% 4.22/3.12 inference(modus_ponens,[status(thm)],[4694, 4693])).
% 4.22/3.12 tff(4696,plain,
% 4.22/3.12 (~node5(s54)),
% 4.22/3.12 inference(unit_resolution,[status(thm)],[4695, 550, 4692])).
% 4.22/3.12 tff(4697,plain,
% 4.22/3.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s53, s54)) | node14(s53, s54))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s53, s54)) | node14(s53, s54))),
% 4.22/3.12 inference(rewrite,[status(thm)],[])).
% 4.22/3.12 tff(4698,plain,
% 4.22/3.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s53, s54)) | node14(s53, s54))),
% 4.22/3.12 inference(quant_inst,[status(thm)],[])).
% 4.22/3.12 tff(4699,plain,
% 4.22/3.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s53, s54)) | node14(s53, s54)),
% 4.22/3.12 inference(modus_ponens,[status(thm)],[4698, 4697])).
% 4.22/3.12 tff(4700,plain,
% 4.22/3.12 (node14(s53, s54)),
% 4.22/3.12 inference(unit_resolution,[status(thm)],[4699, 46, 4676])).
% 4.22/3.12 tff(4701,plain,
% 4.22/3.12 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s53, c_t1)) | (~m_main_v_state2(s53, c_n2)) | (~node14(s53, s54)) | m_main_v_state2(s54, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s53, c_t1)) | (~m_main_v_state2(s53, c_n2)) | (~node14(s53, s54)) | m_main_v_state2(s54, c_t2))),
% 4.22/3.12 inference(rewrite,[status(thm)],[])).
% 4.22/3.12 tff(4702,plain,
% 4.22/3.12 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s53, c_t1)) | (~m_main_v_state2(s53, c_n2)) | (~node14(s53, s54)) | m_main_v_state2(s54, c_t2))),
% 4.22/3.12 inference(quant_inst,[status(thm)],[])).
% 4.22/3.12 tff(4703,plain,
% 4.22/3.12 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s53, c_t1)) | (~m_main_v_state2(s53, c_n2)) | (~node14(s53, s54)) | m_main_v_state2(s54, c_t2)),
% 4.22/3.12 inference(modus_ponens,[status(thm)],[4702, 4701])).
% 4.22/3.12 tff(4704,plain,
% 4.22/3.12 ((~m_main_v_state1(s53, c_t1)) | (~m_main_v_state2(s53, c_n2)) | m_main_v_state2(s54, c_t2)),
% 4.22/3.12 inference(unit_resolution,[status(thm)],[4703, 922, 4700])).
% 4.22/3.12 tff(4705,plain,
% 4.22/3.12 (m_main_v_state2(s54, c_t2)),
% 4.22/3.12 inference(unit_resolution,[status(thm)],[4704, 4661, 4593])).
% 4.22/3.12 tff(4706,plain,
% 4.22/3.12 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s54, c_n2)) | (~m_main_v_state2(s54, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s54, c_n2)) | (~m_main_v_state2(s54, c_t2)))),
% 4.22/3.12 inference(rewrite,[status(thm)],[])).
% 4.22/3.12 tff(4707,plain,
% 4.22/3.12 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s54, c_n2)) | (~m_main_v_state2(s54, c_t2)))),
% 4.22/3.12 inference(quant_inst,[status(thm)],[])).
% 4.22/3.12 tff(4708,plain,
% 4.22/3.12 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s54, c_n2)) | (~m_main_v_state2(s54, c_t2))),
% 4.22/3.12 inference(modus_ponens,[status(thm)],[4707, 4706])).
% 4.22/3.12 tff(4709,plain,
% 4.22/3.12 (~m_main_v_state2(s54, c_n2)),
% 4.22/3.12 inference(unit_resolution,[status(thm)],[4708, 77, 4705])).
% 4.22/3.12 tff(4710,plain,
% 4.22/3.12 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s54, c_n2) | (~node4(s54)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s54, c_n2) | (~node4(s54)))),
% 4.22/3.12 inference(rewrite,[status(thm)],[])).
% 4.22/3.12 tff(4711,plain,
% 4.22/3.12 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s54, c_n2) | (~node4(s54)))),
% 4.22/3.12 inference(quant_inst,[status(thm)],[])).
% 4.22/3.12 tff(4712,plain,
% 4.22/3.12 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s54, c_n2) | (~node4(s54))),
% 4.22/3.12 inference(modus_ponens,[status(thm)],[4711, 4710])).
% 4.22/3.12 tff(4713,plain,
% 4.22/3.12 (~node4(s54)),
% 4.22/3.12 inference(unit_resolution,[status(thm)],[4712, 388, 4709])).
% 4.22/3.12 tff(4714,plain,
% 4.22/3.12 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s54, c_t2)) | (~m_main_v_state2(s54, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s54, c_t2)) | (~m_main_v_state2(s54, c_c2)))),
% 4.22/3.12 inference(rewrite,[status(thm)],[])).
% 4.22/3.12 tff(4715,plain,
% 4.22/3.12 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s54, c_t2)) | (~m_main_v_state2(s54, c_c2)))),
% 4.22/3.12 inference(quant_inst,[status(thm)],[])).
% 4.22/3.12 tff(4716,plain,
% 4.22/3.12 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s54, c_t2)) | (~m_main_v_state2(s54, c_c2))),
% 4.22/3.12 inference(modus_ponens,[status(thm)],[4715, 4714])).
% 4.22/3.12 tff(4717,plain,
% 4.22/3.12 (~m_main_v_state2(s54, c_c2)),
% 4.22/3.12 inference(unit_resolution,[status(thm)],[4716, 260, 4705])).
% 4.22/3.12 tff(4718,plain,
% 4.22/3.12 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s54, c_c2) | (~node3(s54)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s54, c_c2) | (~node3(s54)))),
% 4.22/3.12 inference(rewrite,[status(thm)],[])).
% 4.22/3.12 tff(4719,plain,
% 4.22/3.12 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s54, c_c2) | (~node3(s54)))),
% 4.22/3.12 inference(quant_inst,[status(thm)],[])).
% 4.22/3.12 tff(4720,plain,
% 4.22/3.12 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s54, c_c2) | (~node3(s54))),
% 4.22/3.12 inference(modus_ponens,[status(thm)],[4719, 4718])).
% 4.22/3.12 tff(4721,plain,
% 4.22/3.12 (~node3(s54)),
% 4.22/3.12 inference(unit_resolution,[status(thm)],[4720, 399, 4717])).
% 4.22/3.12 tff(4722,plain,
% 4.22/3.12 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s54, c_n2) | (~node2(s54)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s54, c_n2) | (~node2(s54)))),
% 4.22/3.12 inference(rewrite,[status(thm)],[])).
% 4.22/3.12 tff(4723,plain,
% 4.22/3.12 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s54, c_n2) | (~node2(s54)))),
% 4.22/3.12 inference(quant_inst,[status(thm)],[])).
% 4.22/3.12 tff(4724,plain,
% 4.22/3.12 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s54, c_n2) | (~node2(s54))),
% 4.22/3.12 inference(modus_ponens,[status(thm)],[4723, 4722])).
% 4.22/3.12 tff(4725,plain,
% 4.22/3.12 (~node2(s54)),
% 4.22/3.12 inference(unit_resolution,[status(thm)],[4724, 410, 4709])).
% 4.22/3.12 tff(4726,plain,
% 4.22/3.12 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s54, c_n1)) | (~m_main_v_state1(s54, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s54, c_n1)) | (~m_main_v_state1(s54, c_c1)))),
% 4.22/3.12 inference(rewrite,[status(thm)],[])).
% 4.22/3.12 tff(4727,plain,
% 4.22/3.12 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s54, c_n1)) | (~m_main_v_state1(s54, c_c1)))),
% 4.22/3.12 inference(quant_inst,[status(thm)],[])).
% 4.22/3.12 tff(4728,plain,
% 4.22/3.12 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s54, c_n1)) | (~m_main_v_state1(s54, c_c1))),
% 4.22/3.12 inference(modus_ponens,[status(thm)],[4727, 4726])).
% 4.22/3.12 tff(4729,plain,
% 4.22/3.12 (~m_main_v_state1(s54, c_n1)),
% 4.22/3.12 inference(unit_resolution,[status(thm)],[4728, 454, 4688])).
% 4.22/3.12 tff(4730,plain,
% 4.22/3.12 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s54, c_n1) | (~node1(s54)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s54, c_n1) | (~node1(s54)))),
% 4.22/3.12 inference(rewrite,[status(thm)],[])).
% 4.22/3.12 tff(4731,plain,
% 4.22/3.12 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s54, c_n1) | (~node1(s54)))),
% 4.22/3.12 inference(quant_inst,[status(thm)],[])).
% 4.22/3.12 tff(4732,plain,
% 4.22/3.12 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s54, c_n1) | (~node1(s54))),
% 4.22/3.12 inference(modus_ponens,[status(thm)],[4731, 4730])).
% 4.22/3.12 tff(4733,plain,
% 4.22/3.12 (~node1(s54)),
% 4.22/3.12 inference(unit_resolution,[status(thm)],[4732, 421, 4729])).
% 4.22/3.12 tff(4734,plain,
% 4.22/3.12 (succ(s54, s55) <=> succ(s54, s55)),
% 4.22/3.12 inference(rewrite,[status(thm)],[])).
% 4.22/3.12 tff(4735,axiom,(succ(s54, s55)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound55')).
% 4.22/3.12 tff(4736,plain,
% 4.22/3.12 (succ(s54, s55)),
% 4.22/3.12 inference(modus_ponens,[status(thm)],[4735, 4734])).
% 4.22/3.12 tff(4737,plain,
% 4.22/3.12 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s54, s55)) | trans(s54, s55))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s54, s55)) | trans(s54, s55))),
% 4.22/3.12 inference(rewrite,[status(thm)],[])).
% 4.22/3.12 tff(4738,plain,
% 4.22/3.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s54, s55)) | trans(s54, s55))),
% 4.22/3.12 inference(quant_inst,[status(thm)],[])).
% 4.22/3.12 tff(4739,plain,
% 4.22/3.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s54, s55)) | trans(s54, s55)),
% 4.22/3.12 inference(modus_ponens,[status(thm)],[4738, 4737])).
% 4.22/3.12 tff(4740,plain,
% 4.22/3.12 (trans(s54, s55)),
% 4.22/3.12 inference(unit_resolution,[status(thm)],[4739, 4736, 32])).
% 4.22/3.12 tff(4741,plain,
% 4.22/3.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s54, s55)) | node7(s54, s55))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s54, s55)) | node7(s54, s55))),
% 4.22/3.12 inference(rewrite,[status(thm)],[])).
% 4.22/3.12 tff(4742,plain,
% 4.22/3.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s54, s55)) | node7(s54, s55))),
% 4.22/3.12 inference(quant_inst,[status(thm)],[])).
% 4.22/3.12 tff(4743,plain,
% 4.22/3.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s54, s55)) | node7(s54, s55)),
% 4.22/3.12 inference(modus_ponens,[status(thm)],[4742, 4741])).
% 4.22/3.12 tff(4744,plain,
% 4.22/3.12 (node7(s54, s55)),
% 4.22/3.12 inference(unit_resolution,[status(thm)],[4743, 206, 4740])).
% 4.22/3.12 tff(4745,plain,
% 4.22/3.12 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s55, c_n1) | (~m_main_v_state1(s54, c_c1)) | node1(s54) | node2(s54) | node3(s54) | node4(s54) | node5(s54) | (~node7(s54, s55)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s55, c_n1) | (~m_main_v_state1(s54, c_c1)) | node1(s54) | node2(s54) | node3(s54) | node4(s54) | node5(s54) | (~node7(s54, s55)))),
% 4.22/3.12 inference(rewrite,[status(thm)],[])).
% 4.22/3.12 tff(4746,plain,
% 4.22/3.12 (((~m_main_v_state1(s54, c_c1)) | node1(s54) | node2(s54) | node3(s54) | node4(s54) | node5(s54) | (~node7(s54, s55)) | m_main_v_state1(s55, c_n1)) <=> (m_main_v_state1(s55, c_n1) | (~m_main_v_state1(s54, c_c1)) | node1(s54) | node2(s54) | node3(s54) | node4(s54) | node5(s54) | (~node7(s54, s55)))),
% 4.22/3.12 inference(rewrite,[status(thm)],[])).
% 4.22/3.12 tff(4747,plain,
% 4.22/3.12 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s54, c_c1)) | node1(s54) | node2(s54) | node3(s54) | node4(s54) | node5(s54) | (~node7(s54, s55)) | m_main_v_state1(s55, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s55, c_n1) | (~m_main_v_state1(s54, c_c1)) | node1(s54) | node2(s54) | node3(s54) | node4(s54) | node5(s54) | (~node7(s54, s55))))),
% 4.22/3.12 inference(monotonicity,[status(thm)],[4746])).
% 4.22/3.12 tff(4748,plain,
% 4.22/3.12 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s54, c_c1)) | node1(s54) | node2(s54) | node3(s54) | node4(s54) | node5(s54) | (~node7(s54, s55)) | m_main_v_state1(s55, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s55, c_n1) | (~m_main_v_state1(s54, c_c1)) | node1(s54) | node2(s54) | node3(s54) | node4(s54) | node5(s54) | (~node7(s54, s55)))),
% 4.22/3.12 inference(transitivity,[status(thm)],[4747, 4745])).
% 4.22/3.12 tff(4749,plain,
% 4.22/3.12 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s54, c_c1)) | node1(s54) | node2(s54) | node3(s54) | node4(s54) | node5(s54) | (~node7(s54, s55)) | m_main_v_state1(s55, c_n1))),
% 4.22/3.12 inference(quant_inst,[status(thm)],[])).
% 4.22/3.13 tff(4750,plain,
% 4.22/3.13 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s55, c_n1) | (~m_main_v_state1(s54, c_c1)) | node1(s54) | node2(s54) | node3(s54) | node4(s54) | node5(s54) | (~node7(s54, s55))),
% 4.22/3.13 inference(modus_ponens,[status(thm)],[4749, 4748])).
% 4.22/3.13 tff(4751,plain,
% 4.22/3.13 (m_main_v_state1(s55, c_n1) | (~m_main_v_state1(s54, c_c1)) | node1(s54) | node2(s54) | node3(s54) | node4(s54) | node5(s54)),
% 4.22/3.13 inference(unit_resolution,[status(thm)],[4750, 584, 4744])).
% 4.22/3.13 tff(4752,plain,
% 4.22/3.13 (m_main_v_state1(s55, c_n1)),
% 4.22/3.13 inference(unit_resolution,[status(thm)],[4751, 4733, 4688, 4725, 4721, 4713, 4696])).
% 4.22/3.13 tff(4753,plain,
% 4.22/3.13 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s53, c_t2) | (~node15(s53)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s53, c_t2) | (~node15(s53)))),
% 4.22/3.13 inference(rewrite,[status(thm)],[])).
% 4.22/3.13 tff(4754,plain,
% 4.22/3.13 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s53, c_t2) | (~node15(s53)))),
% 4.22/3.13 inference(quant_inst,[status(thm)],[])).
% 4.22/3.13 tff(4755,plain,
% 4.22/3.13 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s53, c_t2) | (~node15(s53))),
% 4.22/3.13 inference(modus_ponens,[status(thm)],[4754, 4753])).
% 4.22/3.13 tff(4756,plain,
% 4.22/3.13 (~node15(s53)),
% 4.22/3.13 inference(unit_resolution,[status(thm)],[4755, 103, 4665])).
% 4.22/3.13 tff(4757,plain,
% 4.22/3.13 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s53, s54)) | node18(s53, s54))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s53, s54)) | node18(s53, s54))),
% 4.22/3.13 inference(rewrite,[status(thm)],[])).
% 4.22/3.13 tff(4758,plain,
% 4.22/3.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s53, s54)) | node18(s53, s54))),
% 4.22/3.13 inference(quant_inst,[status(thm)],[])).
% 4.22/3.13 tff(4759,plain,
% 4.22/3.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s53, s54)) | node18(s53, s54)),
% 4.22/3.13 inference(modus_ponens,[status(thm)],[4758, 4757])).
% 4.22/3.13 tff(4760,plain,
% 4.22/3.13 (node18(s53, s54)),
% 4.22/3.13 inference(unit_resolution,[status(thm)],[4759, 125, 4676])).
% 4.22/3.13 tff(4761,plain,
% 4.22/3.13 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s53) | (~node18(s53, s54)) | (~m_main_v_state1(s53, c_t1)) | (~m_main_v_state2(s53, c_n2)) | m_main_v_turn(s54, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s53) | (~node18(s53, s54)) | (~m_main_v_state1(s53, c_t1)) | (~m_main_v_state2(s53, c_n2)) | m_main_v_turn(s54, c_1))),
% 4.22/3.13 inference(rewrite,[status(thm)],[])).
% 4.22/3.13 tff(4762,plain,
% 4.22/3.13 (((~m_main_v_state1(s53, c_t1)) | (~m_main_v_state2(s53, c_n2)) | node15(s53) | (~node18(s53, s54)) | m_main_v_turn(s54, c_1)) <=> (node15(s53) | (~node18(s53, s54)) | (~m_main_v_state1(s53, c_t1)) | (~m_main_v_state2(s53, c_n2)) | m_main_v_turn(s54, c_1))),
% 4.22/3.13 inference(rewrite,[status(thm)],[])).
% 4.22/3.13 tff(4763,plain,
% 4.22/3.13 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s53, c_t1)) | (~m_main_v_state2(s53, c_n2)) | node15(s53) | (~node18(s53, s54)) | m_main_v_turn(s54, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s53) | (~node18(s53, s54)) | (~m_main_v_state1(s53, c_t1)) | (~m_main_v_state2(s53, c_n2)) | m_main_v_turn(s54, c_1)))),
% 4.22/3.13 inference(monotonicity,[status(thm)],[4762])).
% 4.22/3.13 tff(4764,plain,
% 4.22/3.13 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s53, c_t1)) | (~m_main_v_state2(s53, c_n2)) | node15(s53) | (~node18(s53, s54)) | m_main_v_turn(s54, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s53) | (~node18(s53, s54)) | (~m_main_v_state1(s53, c_t1)) | (~m_main_v_state2(s53, c_n2)) | m_main_v_turn(s54, c_1))),
% 4.22/3.13 inference(transitivity,[status(thm)],[4763, 4761])).
% 4.22/3.13 tff(4765,plain,
% 4.22/3.13 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s53, c_t1)) | (~m_main_v_state2(s53, c_n2)) | node15(s53) | (~node18(s53, s54)) | m_main_v_turn(s54, c_1))),
% 4.22/3.13 inference(quant_inst,[status(thm)],[])).
% 4.22/3.13 tff(4766,plain,
% 4.22/3.13 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s53) | (~node18(s53, s54)) | (~m_main_v_state1(s53, c_t1)) | (~m_main_v_state2(s53, c_n2)) | m_main_v_turn(s54, c_1)),
% 4.22/3.13 inference(modus_ponens,[status(thm)],[4765, 4764])).
% 4.22/3.13 tff(4767,plain,
% 4.22/3.13 (node15(s53) | (~m_main_v_state1(s53, c_t1)) | (~m_main_v_state2(s53, c_n2)) | m_main_v_turn(s54, c_1)),
% 4.22/3.13 inference(unit_resolution,[status(thm)],[4766, 992, 4760])).
% 4.22/3.13 tff(4768,plain,
% 4.22/3.13 (m_main_v_turn(s54, c_1)),
% 4.22/3.13 inference(unit_resolution,[status(thm)],[4767, 4756, 4593, 4661])).
% 4.22/3.13 tff(4769,plain,
% 4.22/3.13 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s54, c_1)) | (~m_main_v_turn(s54, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s54, c_1)) | (~m_main_v_turn(s54, c_2)))),
% 4.22/3.13 inference(rewrite,[status(thm)],[])).
% 4.22/3.13 tff(4770,plain,
% 4.22/3.13 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s54, c_1)) | (~m_main_v_turn(s54, c_2)))),
% 4.22/3.13 inference(quant_inst,[status(thm)],[])).
% 4.22/3.13 tff(4771,plain,
% 4.22/3.13 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s54, c_1)) | (~m_main_v_turn(s54, c_2))),
% 4.22/3.13 inference(modus_ponens,[status(thm)],[4770, 4769])).
% 4.22/3.13 tff(4772,plain,
% 4.22/3.13 (~m_main_v_turn(s54, c_2)),
% 4.22/3.13 inference(unit_resolution,[status(thm)],[4771, 156, 4768])).
% 4.22/3.13 tff(4773,plain,
% 4.22/3.13 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s54, c_2) | (~node12(s54)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s54, c_2) | (~node12(s54)))),
% 4.22/3.13 inference(rewrite,[status(thm)],[])).
% 4.22/3.13 tff(4774,plain,
% 4.22/3.13 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s54, c_2) | (~node12(s54)))),
% 4.22/3.13 inference(quant_inst,[status(thm)],[])).
% 4.22/3.13 tff(4775,plain,
% 4.22/3.13 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s54, c_2) | (~node12(s54))),
% 4.22/3.13 inference(modus_ponens,[status(thm)],[4774, 4773])).
% 4.22/3.13 tff(4776,plain,
% 4.22/3.13 (~node12(s54)),
% 4.22/3.13 inference(unit_resolution,[status(thm)],[4775, 184, 4772])).
% 4.22/3.13 tff(4777,plain,
% 4.22/3.13 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s54, c_n2) | (~node8(s54)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s54, c_n2) | (~node8(s54)))),
% 4.22/3.13 inference(rewrite,[status(thm)],[])).
% 4.22/3.13 tff(4778,plain,
% 4.22/3.13 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s54, c_n2) | (~node8(s54)))),
% 4.22/3.13 inference(quant_inst,[status(thm)],[])).
% 4.22/3.13 tff(4779,plain,
% 4.22/3.13 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s54, c_n2) | (~node8(s54))),
% 4.22/3.13 inference(modus_ponens,[status(thm)],[4778, 4777])).
% 4.22/3.13 tff(4780,plain,
% 4.22/3.13 (~node8(s54)),
% 4.22/3.13 inference(unit_resolution,[status(thm)],[4779, 271, 4709])).
% 4.22/3.13 tff(4781,plain,
% 4.22/3.13 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s54, c_n2) | (~node9(s54)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s54, c_n2) | (~node9(s54)))),
% 4.22/3.13 inference(rewrite,[status(thm)],[])).
% 4.22/3.13 tff(4782,plain,
% 4.22/3.13 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s54, c_n2) | (~node9(s54)))),
% 4.22/3.13 inference(quant_inst,[status(thm)],[])).
% 4.22/3.13 tff(4783,plain,
% 4.22/3.13 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s54, c_n2) | (~node9(s54))),
% 4.22/3.13 inference(modus_ponens,[status(thm)],[4782, 4781])).
% 4.22/3.13 tff(4784,plain,
% 4.22/3.13 (~node9(s54)),
% 4.22/3.13 inference(unit_resolution,[status(thm)],[4783, 88, 4709])).
% 4.22/3.13 tff(4785,plain,
% 4.22/3.13 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s54, c_n2) | (~node10(s54)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s54, c_n2) | (~node10(s54)))),
% 4.22/3.13 inference(rewrite,[status(thm)],[])).
% 4.22/3.13 tff(4786,plain,
% 4.22/3.13 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s54, c_n2) | (~node10(s54)))),
% 4.22/3.13 inference(quant_inst,[status(thm)],[])).
% 4.22/3.13 tff(4787,plain,
% 4.22/3.13 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s54, c_n2) | (~node10(s54))),
% 4.22/3.13 inference(modus_ponens,[status(thm)],[4786, 4785])).
% 4.22/3.13 tff(4788,plain,
% 4.22/3.13 (~node10(s54)),
% 4.22/3.13 inference(unit_resolution,[status(thm)],[4787, 249, 4709])).
% 4.22/3.13 tff(4789,plain,
% 4.22/3.13 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s54, c_n1) | (~node11(s54)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s54, c_n1) | (~node11(s54)))),
% 4.22/3.13 inference(rewrite,[status(thm)],[])).
% 4.22/3.13 tff(4790,plain,
% 4.22/3.13 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s54, c_n1) | (~node11(s54)))),
% 4.22/3.13 inference(quant_inst,[status(thm)],[])).
% 4.22/3.13 tff(4791,plain,
% 4.22/3.13 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s54, c_n1) | (~node11(s54))),
% 4.22/3.13 inference(modus_ponens,[status(thm)],[4790, 4789])).
% 4.22/3.13 tff(4792,plain,
% 4.22/3.13 (~node11(s54)),
% 4.22/3.13 inference(unit_resolution,[status(thm)],[4791, 238, 4729])).
% 4.22/3.13 tff(4793,plain,
% 4.22/3.13 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s54, s55)) | node14(s54, s55))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s54, s55)) | node14(s54, s55))),
% 4.22/3.13 inference(rewrite,[status(thm)],[])).
% 4.22/3.13 tff(4794,plain,
% 4.22/3.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s54, s55)) | node14(s54, s55))),
% 4.22/3.13 inference(quant_inst,[status(thm)],[])).
% 4.22/3.13 tff(4795,plain,
% 4.22/3.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s54, s55)) | node14(s54, s55)),
% 4.22/3.13 inference(modus_ponens,[status(thm)],[4794, 4793])).
% 4.22/3.13 tff(4796,plain,
% 4.22/3.13 (node14(s54, s55)),
% 4.22/3.13 inference(unit_resolution,[status(thm)],[4795, 46, 4740])).
% 4.22/3.13 tff(4797,plain,
% 4.22/3.13 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s54, c_c2) | node9(s54) | node8(s54) | node10(s54) | node11(s54) | node12(s54) | node13(s54, s55) | (~node14(s54, s55)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s54, c_c2) | node9(s54) | node8(s54) | node10(s54) | node11(s54) | node12(s54) | node13(s54, s55) | (~node14(s54, s55)))),
% 4.22/3.13 inference(rewrite,[status(thm)],[])).
% 4.22/3.13 tff(4798,plain,
% 4.22/3.13 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s54, c_c2) | node9(s54) | node8(s54) | node10(s54) | node11(s54) | node12(s54) | node13(s54, s55) | (~node14(s54, s55)))),
% 4.22/3.13 inference(quant_inst,[status(thm)],[])).
% 4.22/3.13 tff(4799,plain,
% 4.22/3.13 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s54, c_c2) | node9(s54) | node8(s54) | node10(s54) | node11(s54) | node12(s54) | node13(s54, s55) | (~node14(s54, s55))),
% 4.22/3.13 inference(modus_ponens,[status(thm)],[4798, 4797])).
% 4.22/3.13 tff(4800,plain,
% 4.22/3.13 (m_main_v_state2(s54, c_c2) | node9(s54) | node8(s54) | node10(s54) | node11(s54) | node12(s54) | node13(s54, s55)),
% 4.22/3.13 inference(unit_resolution,[status(thm)],[4799, 296, 4796])).
% 4.22/3.13 tff(4801,plain,
% 4.22/3.13 (node13(s54, s55)),
% 4.22/3.13 inference(unit_resolution,[status(thm)],[4800, 4792, 4717, 4788, 4784, 4780, 4776])).
% 4.22/3.13 tff(4802,plain,
% 4.22/3.13 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s54, c_t2)) | m_main_v_state2(s55, c_t2) | (~node13(s54, s55)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s54, c_t2)) | m_main_v_state2(s55, c_t2) | (~node13(s54, s55)))),
% 4.22/3.13 inference(rewrite,[status(thm)],[])).
% 4.22/3.13 tff(4803,plain,
% 4.22/3.13 (((~node13(s54, s55)) | (~m_main_v_state2(s54, c_t2)) | m_main_v_state2(s55, c_t2)) <=> ((~m_main_v_state2(s54, c_t2)) | m_main_v_state2(s55, c_t2) | (~node13(s54, s55)))),
% 4.22/3.13 inference(rewrite,[status(thm)],[])).
% 4.22/3.13 tff(4804,plain,
% 4.22/3.13 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s54, s55)) | (~m_main_v_state2(s54, c_t2)) | m_main_v_state2(s55, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s54, c_t2)) | m_main_v_state2(s55, c_t2) | (~node13(s54, s55))))),
% 4.22/3.13 inference(monotonicity,[status(thm)],[4803])).
% 4.22/3.13 tff(4805,plain,
% 4.22/3.13 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s54, s55)) | (~m_main_v_state2(s54, c_t2)) | m_main_v_state2(s55, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s54, c_t2)) | m_main_v_state2(s55, c_t2) | (~node13(s54, s55)))),
% 4.22/3.13 inference(transitivity,[status(thm)],[4804, 4802])).
% 4.22/3.13 tff(4806,plain,
% 4.22/3.13 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s54, s55)) | (~m_main_v_state2(s54, c_t2)) | m_main_v_state2(s55, c_t2))),
% 4.22/3.13 inference(quant_inst,[status(thm)],[])).
% 4.22/3.13 tff(4807,plain,
% 4.22/3.13 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s54, c_t2)) | m_main_v_state2(s55, c_t2) | (~node13(s54, s55))),
% 4.22/3.13 inference(modus_ponens,[status(thm)],[4806, 4805])).
% 4.22/3.13 tff(4808,plain,
% 4.22/3.13 (m_main_v_state2(s55, c_t2)),
% 4.22/3.13 inference(unit_resolution,[status(thm)],[4807, 518, 4705, 4801])).
% 4.22/3.13 tff(4809,plain,
% 4.22/3.13 (succ(s55, s56) <=> succ(s55, s56)),
% 4.22/3.13 inference(rewrite,[status(thm)],[])).
% 4.22/3.13 tff(4810,axiom,(succ(s55, s56)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound56')).
% 4.22/3.13 tff(4811,plain,
% 4.22/3.13 (succ(s55, s56)),
% 4.22/3.13 inference(modus_ponens,[status(thm)],[4810, 4809])).
% 4.22/3.13 tff(4812,plain,
% 4.22/3.13 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s55, s56)) | trans(s55, s56))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s55, s56)) | trans(s55, s56))),
% 4.22/3.13 inference(rewrite,[status(thm)],[])).
% 4.22/3.13 tff(4813,plain,
% 4.22/3.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s55, s56)) | trans(s55, s56))),
% 4.22/3.13 inference(quant_inst,[status(thm)],[])).
% 4.22/3.13 tff(4814,plain,
% 4.22/3.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s55, s56)) | trans(s55, s56)),
% 4.22/3.13 inference(modus_ponens,[status(thm)],[4813, 4812])).
% 4.22/3.13 tff(4815,plain,
% 4.22/3.13 (trans(s55, s56)),
% 4.22/3.13 inference(unit_resolution,[status(thm)],[4814, 4811, 32])).
% 4.22/3.13 tff(4816,plain,
% 4.22/3.13 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s55, s56)) | node7(s55, s56))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s55, s56)) | node7(s55, s56))),
% 4.22/3.13 inference(rewrite,[status(thm)],[])).
% 4.22/3.13 tff(4817,plain,
% 4.22/3.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s55, s56)) | node7(s55, s56))),
% 4.22/3.13 inference(quant_inst,[status(thm)],[])).
% 4.22/3.13 tff(4818,plain,
% 4.22/3.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s55, s56)) | node7(s55, s56)),
% 4.22/3.13 inference(modus_ponens,[status(thm)],[4817, 4816])).
% 4.22/3.13 tff(4819,plain,
% 4.22/3.13 (node7(s55, s56)),
% 4.22/3.13 inference(unit_resolution,[status(thm)],[4818, 206, 4815])).
% 4.22/3.13 tff(4820,plain,
% 4.22/3.13 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s55, c_n1)) | (~m_main_v_state2(s55, c_t2)) | (~node7(s55, s56)) | m_main_v_state1(s56, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s55, c_n1)) | (~m_main_v_state2(s55, c_t2)) | (~node7(s55, s56)) | m_main_v_state1(s56, c_t1))),
% 4.22/3.13 inference(rewrite,[status(thm)],[])).
% 4.22/3.13 tff(4821,plain,
% 4.22/3.13 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s55, c_n1)) | (~m_main_v_state2(s55, c_t2)) | (~node7(s55, s56)) | m_main_v_state1(s56, c_t1))),
% 4.22/3.13 inference(quant_inst,[status(thm)],[])).
% 4.22/3.13 tff(4822,plain,
% 4.22/3.13 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s55, c_n1)) | (~m_main_v_state2(s55, c_t2)) | (~node7(s55, s56)) | m_main_v_state1(s56, c_t1)),
% 4.22/3.13 inference(modus_ponens,[status(thm)],[4821, 4820])).
% 4.22/3.13 tff(4823,plain,
% 4.22/3.13 ((~m_main_v_state1(s55, c_n1)) | (~m_main_v_state2(s55, c_t2)) | m_main_v_state1(s56, c_t1)),
% 4.22/3.13 inference(unit_resolution,[status(thm)],[4822, 651, 4819])).
% 4.22/3.13 tff(4824,plain,
% 4.22/3.13 (m_main_v_state1(s56, c_t1)),
% 4.22/3.13 inference(unit_resolution,[status(thm)],[4823, 4808, 4752])).
% 4.22/3.13 tff(4825,plain,
% 4.22/3.13 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s56, c_n1)) | (~m_main_v_state1(s56, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s56, c_n1)) | (~m_main_v_state1(s56, c_t1)))),
% 4.22/3.13 inference(rewrite,[status(thm)],[])).
% 4.22/3.13 tff(4826,plain,
% 4.22/3.13 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s56, c_n1)) | (~m_main_v_state1(s56, c_t1)))),
% 4.22/3.13 inference(quant_inst,[status(thm)],[])).
% 4.22/3.13 tff(4827,plain,
% 4.22/3.13 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s56, c_n1)) | (~m_main_v_state1(s56, c_t1))),
% 4.22/3.13 inference(modus_ponens,[status(thm)],[4826, 4825])).
% 4.22/3.13 tff(4828,plain,
% 4.22/3.13 (~m_main_v_state1(s56, c_n1)),
% 4.22/3.13 inference(unit_resolution,[status(thm)],[4827, 10, 4824])).
% 4.22/3.13 tff(4829,plain,
% 4.22/3.13 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s56, c_n1) | (~node1(s56)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s56, c_n1) | (~node1(s56)))),
% 4.22/3.13 inference(rewrite,[status(thm)],[])).
% 4.22/3.13 tff(4830,plain,
% 4.22/3.13 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s56, c_n1) | (~node1(s56)))),
% 4.22/3.13 inference(quant_inst,[status(thm)],[])).
% 4.22/3.13 tff(4831,plain,
% 4.22/3.13 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s56, c_n1) | (~node1(s56))),
% 4.22/3.13 inference(modus_ponens,[status(thm)],[4830, 4829])).
% 4.22/3.13 tff(4832,plain,
% 4.22/3.13 (~node1(s56)),
% 4.22/3.13 inference(unit_resolution,[status(thm)],[4831, 421, 4828])).
% 4.22/3.13 tff(4833,plain,
% 4.22/3.13 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s55, s56)) | node18(s55, s56))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s55, s56)) | node18(s55, s56))),
% 4.22/3.13 inference(rewrite,[status(thm)],[])).
% 4.22/3.13 tff(4834,plain,
% 4.22/3.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s55, s56)) | node18(s55, s56))),
% 4.22/3.13 inference(quant_inst,[status(thm)],[])).
% 4.22/3.13 tff(4835,plain,
% 4.22/3.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s55, s56)) | node18(s55, s56)),
% 4.22/3.13 inference(modus_ponens,[status(thm)],[4834, 4833])).
% 4.22/3.13 tff(4836,plain,
% 4.22/3.13 (node18(s55, s56)),
% 4.22/3.13 inference(unit_resolution,[status(thm)],[4835, 125, 4815])).
% 4.22/3.13 tff(4837,plain,
% 4.22/3.13 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s55, c_n1)) | (~m_main_v_state2(s55, c_t2)) | (~node18(s55, s56)) | m_main_v_turn(s56, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s55, c_n1)) | (~m_main_v_state2(s55, c_t2)) | (~node18(s55, s56)) | m_main_v_turn(s56, c_2))),
% 4.22/3.13 inference(rewrite,[status(thm)],[])).
% 4.22/3.13 tff(4838,plain,
% 4.22/3.13 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s55, c_n1)) | (~m_main_v_state2(s55, c_t2)) | (~node18(s55, s56)) | m_main_v_turn(s56, c_2))),
% 4.22/3.13 inference(quant_inst,[status(thm)],[])).
% 4.22/3.13 tff(4839,plain,
% 4.22/3.13 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s55, c_n1)) | (~m_main_v_state2(s55, c_t2)) | (~node18(s55, s56)) | m_main_v_turn(s56, c_2)),
% 4.22/3.13 inference(modus_ponens,[status(thm)],[4838, 4837])).
% 4.22/3.13 tff(4840,plain,
% 4.22/3.13 ((~m_main_v_state1(s55, c_n1)) | (~m_main_v_state2(s55, c_t2)) | m_main_v_turn(s56, c_2)),
% 4.22/3.13 inference(unit_resolution,[status(thm)],[4839, 760, 4836])).
% 4.22/3.13 tff(4841,plain,
% 4.22/3.13 (m_main_v_turn(s56, c_2)),
% 4.22/3.13 inference(unit_resolution,[status(thm)],[4840, 4808, 4752])).
% 4.22/3.13 tff(4842,plain,
% 4.22/3.13 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s56, c_1)) | (~m_main_v_turn(s56, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s56, c_1)) | (~m_main_v_turn(s56, c_2)))),
% 4.22/3.13 inference(rewrite,[status(thm)],[])).
% 4.22/3.13 tff(4843,plain,
% 4.22/3.13 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s56, c_1)) | (~m_main_v_turn(s56, c_2)))),
% 4.22/3.13 inference(quant_inst,[status(thm)],[])).
% 4.22/3.13 tff(4844,plain,
% 4.22/3.13 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s56, c_1)) | (~m_main_v_turn(s56, c_2))),
% 4.22/3.13 inference(modus_ponens,[status(thm)],[4843, 4842])).
% 4.22/3.13 tff(4845,plain,
% 4.22/3.13 (~m_main_v_turn(s56, c_1)),
% 4.22/3.13 inference(unit_resolution,[status(thm)],[4844, 156, 4841])).
% 4.22/3.13 tff(4846,plain,
% 4.22/3.13 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s56, c_1) | (~node5(s56)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s56, c_1) | (~node5(s56)))),
% 4.22/3.13 inference(rewrite,[status(thm)],[])).
% 4.22/3.13 tff(4847,plain,
% 4.22/3.13 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s56, c_1) | (~node5(s56)))),
% 4.22/3.13 inference(quant_inst,[status(thm)],[])).
% 4.22/3.13 tff(4848,plain,
% 4.22/3.13 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s56, c_1) | (~node5(s56))),
% 4.22/3.13 inference(modus_ponens,[status(thm)],[4847, 4846])).
% 4.22/3.13 tff(4849,plain,
% 4.22/3.13 (~node5(s56)),
% 4.22/3.13 inference(unit_resolution,[status(thm)],[4848, 776, 4845])).
% 4.22/3.13 tff(4850,plain,
% 4.22/3.13 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s56, c_n1) | (~node2(s56)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s56, c_n1) | (~node2(s56)))),
% 4.22/3.13 inference(rewrite,[status(thm)],[])).
% 4.22/3.13 tff(4851,plain,
% 4.22/3.13 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s56, c_n1) | (~node2(s56)))),
% 4.22/3.13 inference(quant_inst,[status(thm)],[])).
% 4.22/3.13 tff(4852,plain,
% 4.22/3.13 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s56, c_n1) | (~node2(s56))),
% 4.22/3.13 inference(modus_ponens,[status(thm)],[4851, 4850])).
% 4.22/3.13 tff(4853,plain,
% 4.22/3.13 (~node2(s56)),
% 4.22/3.13 inference(unit_resolution,[status(thm)],[4852, 787, 4828])).
% 4.22/3.13 tff(4854,plain,
% 4.22/3.13 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s56, c_n1) | (~node3(s56)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s56, c_n1) | (~node3(s56)))),
% 4.22/3.13 inference(rewrite,[status(thm)],[])).
% 4.22/3.13 tff(4855,plain,
% 4.22/3.13 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s56, c_n1) | (~node3(s56)))),
% 4.22/3.13 inference(quant_inst,[status(thm)],[])).
% 4.22/3.13 tff(4856,plain,
% 4.22/3.13 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s56, c_n1) | (~node3(s56))),
% 4.22/3.13 inference(modus_ponens,[status(thm)],[4855, 4854])).
% 4.22/3.13 tff(4857,plain,
% 4.22/3.13 (~node3(s56)),
% 4.22/3.13 inference(unit_resolution,[status(thm)],[4856, 798, 4828])).
% 4.22/3.13 tff(4858,plain,
% 4.22/3.13 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s56, c_t1)) | (~m_main_v_state1(s56, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s56, c_t1)) | (~m_main_v_state1(s56, c_c1)))),
% 4.22/3.13 inference(rewrite,[status(thm)],[])).
% 4.22/3.13 tff(4859,plain,
% 4.22/3.13 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s56, c_t1)) | (~m_main_v_state1(s56, c_c1)))),
% 4.22/3.13 inference(quant_inst,[status(thm)],[])).
% 4.22/3.13 tff(4860,plain,
% 4.22/3.13 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s56, c_t1)) | (~m_main_v_state1(s56, c_c1))),
% 4.22/3.13 inference(modus_ponens,[status(thm)],[4859, 4858])).
% 4.22/3.13 tff(4861,plain,
% 4.22/3.13 (~m_main_v_state1(s56, c_c1)),
% 4.22/3.13 inference(unit_resolution,[status(thm)],[4860, 539, 4824])).
% 4.22/3.13 tff(4862,plain,
% 4.22/3.13 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s54, c_n2) | (~m_main_v_state2(s55, c_n2)) | (~node13(s54, s55)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s54, c_n2) | (~m_main_v_state2(s55, c_n2)) | (~node13(s54, s55)))),
% 4.22/3.13 inference(rewrite,[status(thm)],[])).
% 4.22/3.13 tff(4863,plain,
% 4.22/3.13 (((~node13(s54, s55)) | m_main_v_state2(s54, c_n2) | (~m_main_v_state2(s55, c_n2))) <=> (m_main_v_state2(s54, c_n2) | (~m_main_v_state2(s55, c_n2)) | (~node13(s54, s55)))),
% 4.22/3.13 inference(rewrite,[status(thm)],[])).
% 4.22/3.13 tff(4864,plain,
% 4.22/3.13 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s54, s55)) | m_main_v_state2(s54, c_n2) | (~m_main_v_state2(s55, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s54, c_n2) | (~m_main_v_state2(s55, c_n2)) | (~node13(s54, s55))))),
% 4.22/3.13 inference(monotonicity,[status(thm)],[4863])).
% 4.22/3.13 tff(4865,plain,
% 4.22/3.13 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s54, s55)) | m_main_v_state2(s54, c_n2) | (~m_main_v_state2(s55, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s54, c_n2) | (~m_main_v_state2(s55, c_n2)) | (~node13(s54, s55)))),
% 4.22/3.13 inference(transitivity,[status(thm)],[4864, 4862])).
% 4.22/3.13 tff(4866,plain,
% 4.22/3.13 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s54, s55)) | m_main_v_state2(s54, c_n2) | (~m_main_v_state2(s55, c_n2)))),
% 4.22/3.13 inference(quant_inst,[status(thm)],[])).
% 4.22/3.13 tff(4867,plain,
% 4.22/3.13 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s54, c_n2) | (~m_main_v_state2(s55, c_n2)) | (~node13(s54, s55))),
% 4.22/3.13 inference(modus_ponens,[status(thm)],[4866, 4865])).
% 4.22/3.13 tff(4868,plain,
% 4.22/3.13 (~m_main_v_state2(s55, c_n2)),
% 4.22/3.13 inference(unit_resolution,[status(thm)],[4867, 311, 4709, 4801])).
% 4.22/3.13 tff(4869,plain,
% 4.22/3.13 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s55, c_n2) | (~node9(s55)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s55, c_n2) | (~node9(s55)))),
% 4.22/3.13 inference(rewrite,[status(thm)],[])).
% 4.22/3.13 tff(4870,plain,
% 4.22/3.13 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s55, c_n2) | (~node9(s55)))),
% 4.22/3.13 inference(quant_inst,[status(thm)],[])).
% 4.22/3.13 tff(4871,plain,
% 4.22/3.13 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s55, c_n2) | (~node9(s55))),
% 4.22/3.13 inference(modus_ponens,[status(thm)],[4870, 4869])).
% 4.22/3.13 tff(4872,plain,
% 4.22/3.13 (~node9(s55)),
% 4.22/3.13 inference(unit_resolution,[status(thm)],[4871, 88, 4868])).
% 4.22/3.13 tff(4873,plain,
% 4.22/3.13 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s55, c_n2) | (~node10(s55)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s55, c_n2) | (~node10(s55)))),
% 4.22/3.13 inference(rewrite,[status(thm)],[])).
% 4.22/3.13 tff(4874,plain,
% 4.22/3.13 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s55, c_n2) | (~node10(s55)))),
% 4.22/3.13 inference(quant_inst,[status(thm)],[])).
% 4.22/3.13 tff(4875,plain,
% 4.22/3.13 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s55, c_n2) | (~node10(s55))),
% 4.22/3.13 inference(modus_ponens,[status(thm)],[4874, 4873])).
% 4.22/3.14 tff(4876,plain,
% 4.22/3.14 (~node10(s55)),
% 4.22/3.14 inference(unit_resolution,[status(thm)],[4875, 249, 4868])).
% 4.22/3.14 tff(4877,plain,
% 4.22/3.14 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s55, c_n2) | (~node8(s55)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s55, c_n2) | (~node8(s55)))),
% 4.22/3.14 inference(rewrite,[status(thm)],[])).
% 4.22/3.14 tff(4878,plain,
% 4.22/3.14 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s55, c_n2) | (~node8(s55)))),
% 4.22/3.14 inference(quant_inst,[status(thm)],[])).
% 4.22/3.14 tff(4879,plain,
% 4.22/3.14 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s55, c_n2) | (~node8(s55))),
% 4.22/3.14 inference(modus_ponens,[status(thm)],[4878, 4877])).
% 4.22/3.14 tff(4880,plain,
% 4.22/3.14 (~node8(s55)),
% 4.22/3.14 inference(unit_resolution,[status(thm)],[4879, 271, 4868])).
% 4.22/3.14 tff(4881,plain,
% 4.22/3.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s55, s56)) | node14(s55, s56))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s55, s56)) | node14(s55, s56))),
% 4.22/3.14 inference(rewrite,[status(thm)],[])).
% 4.22/3.14 tff(4882,plain,
% 4.22/3.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s55, s56)) | node14(s55, s56))),
% 4.22/3.14 inference(quant_inst,[status(thm)],[])).
% 4.22/3.14 tff(4883,plain,
% 4.22/3.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s55, s56)) | node14(s55, s56)),
% 4.22/3.14 inference(modus_ponens,[status(thm)],[4882, 4881])).
% 4.22/3.14 tff(4884,plain,
% 4.22/3.14 (node14(s55, s56)),
% 4.22/3.14 inference(unit_resolution,[status(thm)],[4883, 46, 4815])).
% 4.22/3.14 tff(4885,plain,
% 4.22/3.14 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s55, c_n1)) | (~m_main_v_state2(s55, c_t2)) | node9(s55) | node8(s55) | node10(s55) | (~node14(s55, s56)) | m_main_v_state2(s56, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s55, c_n1)) | (~m_main_v_state2(s55, c_t2)) | node9(s55) | node8(s55) | node10(s55) | (~node14(s55, s56)) | m_main_v_state2(s56, c_c2))),
% 4.22/3.14 inference(rewrite,[status(thm)],[])).
% 4.22/3.14 tff(4886,plain,
% 4.22/3.14 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s55, c_n1)) | (~m_main_v_state2(s55, c_t2)) | node9(s55) | node8(s55) | node10(s55) | (~node14(s55, s56)) | m_main_v_state2(s56, c_c2))),
% 4.22/3.14 inference(quant_inst,[status(thm)],[])).
% 4.22/3.14 tff(4887,plain,
% 4.22/3.14 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s55, c_n1)) | (~m_main_v_state2(s55, c_t2)) | node9(s55) | node8(s55) | node10(s55) | (~node14(s55, s56)) | m_main_v_state2(s56, c_c2)),
% 4.22/3.14 inference(modus_ponens,[status(thm)],[4886, 4885])).
% 4.22/3.14 tff(4888,plain,
% 4.22/3.14 ((~m_main_v_state1(s55, c_n1)) | (~m_main_v_state2(s55, c_t2)) | node9(s55) | node8(s55) | node10(s55) | m_main_v_state2(s56, c_c2)),
% 4.22/3.14 inference(unit_resolution,[status(thm)],[4887, 617, 4884])).
% 4.22/3.14 tff(4889,plain,
% 4.22/3.14 (m_main_v_state2(s56, c_c2)),
% 4.22/3.14 inference(unit_resolution,[status(thm)],[4888, 4880, 4752, 4808, 4876, 4872])).
% 4.22/3.14 tff(4890,plain,
% 4.22/3.14 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s56, c_n2)) | (~m_main_v_state2(s56, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s56, c_n2)) | (~m_main_v_state2(s56, c_c2)))),
% 4.22/3.14 inference(rewrite,[status(thm)],[])).
% 4.22/3.14 tff(4891,plain,
% 4.22/3.14 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s56, c_n2)) | (~m_main_v_state2(s56, c_c2)))),
% 4.22/3.14 inference(quant_inst,[status(thm)],[])).
% 4.22/3.14 tff(4892,plain,
% 4.22/3.14 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s56, c_n2)) | (~m_main_v_state2(s56, c_c2))),
% 4.22/3.14 inference(modus_ponens,[status(thm)],[4891, 4890])).
% 4.22/3.14 tff(4893,plain,
% 4.22/3.14 (~m_main_v_state2(s56, c_n2)),
% 4.22/3.14 inference(unit_resolution,[status(thm)],[4892, 697, 4889])).
% 4.22/3.14 tff(4894,plain,
% 4.22/3.14 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s56, c_n2) | (~node4(s56)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s56, c_n2) | (~node4(s56)))),
% 4.22/3.14 inference(rewrite,[status(thm)],[])).
% 4.22/3.14 tff(4895,plain,
% 4.22/3.14 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s56, c_n2) | (~node4(s56)))),
% 4.22/3.14 inference(quant_inst,[status(thm)],[])).
% 4.22/3.14 tff(4896,plain,
% 4.22/3.14 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s56, c_n2) | (~node4(s56))),
% 4.22/3.14 inference(modus_ponens,[status(thm)],[4895, 4894])).
% 4.22/3.14 tff(4897,plain,
% 4.22/3.14 (~node4(s56)),
% 4.22/3.14 inference(unit_resolution,[status(thm)],[4896, 388, 4893])).
% 4.22/3.14 tff(4898,plain,
% 4.22/3.14 (succ(s56, s57) <=> succ(s56, s57)),
% 4.22/3.14 inference(rewrite,[status(thm)],[])).
% 4.22/3.14 tff(4899,axiom,(succ(s56, s57)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound57')).
% 4.22/3.14 tff(4900,plain,
% 4.22/3.14 (succ(s56, s57)),
% 4.22/3.14 inference(modus_ponens,[status(thm)],[4899, 4898])).
% 4.22/3.14 tff(4901,plain,
% 4.22/3.14 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s56, s57)) | trans(s56, s57))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s56, s57)) | trans(s56, s57))),
% 4.22/3.14 inference(rewrite,[status(thm)],[])).
% 4.22/3.14 tff(4902,plain,
% 4.22/3.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s56, s57)) | trans(s56, s57))),
% 4.22/3.14 inference(quant_inst,[status(thm)],[])).
% 4.22/3.14 tff(4903,plain,
% 4.22/3.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s56, s57)) | trans(s56, s57)),
% 4.22/3.14 inference(modus_ponens,[status(thm)],[4902, 4901])).
% 4.22/3.14 tff(4904,plain,
% 4.22/3.14 (trans(s56, s57)),
% 4.22/3.14 inference(unit_resolution,[status(thm)],[4903, 4900, 32])).
% 4.22/3.14 tff(4905,plain,
% 4.22/3.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s56, s57)) | node7(s56, s57))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s56, s57)) | node7(s56, s57))),
% 4.22/3.14 inference(rewrite,[status(thm)],[])).
% 4.22/3.14 tff(4906,plain,
% 4.22/3.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s56, s57)) | node7(s56, s57))),
% 4.22/3.14 inference(quant_inst,[status(thm)],[])).
% 4.22/3.14 tff(4907,plain,
% 4.22/3.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s56, s57)) | node7(s56, s57)),
% 4.22/3.14 inference(modus_ponens,[status(thm)],[4906, 4905])).
% 4.22/3.14 tff(4908,plain,
% 4.22/3.14 (node7(s56, s57)),
% 4.22/3.14 inference(unit_resolution,[status(thm)],[4907, 206, 4904])).
% 4.22/3.14 tff(4909,plain,
% 4.22/3.14 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s56, c_c1) | node1(s56) | node2(s56) | node3(s56) | node4(s56) | node5(s56) | node6(s56, s57) | (~node7(s56, s57)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s56, c_c1) | node1(s56) | node2(s56) | node3(s56) | node4(s56) | node5(s56) | node6(s56, s57) | (~node7(s56, s57)))),
% 4.22/3.14 inference(rewrite,[status(thm)],[])).
% 4.22/3.14 tff(4910,plain,
% 4.22/3.14 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s56, c_c1) | node1(s56) | node2(s56) | node3(s56) | node4(s56) | node5(s56) | node6(s56, s57) | (~node7(s56, s57)))),
% 4.22/3.14 inference(quant_inst,[status(thm)],[])).
% 4.22/3.14 tff(4911,plain,
% 4.22/3.14 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s56, c_c1) | node1(s56) | node2(s56) | node3(s56) | node4(s56) | node5(s56) | node6(s56, s57) | (~node7(s56, s57))),
% 4.22/3.14 inference(modus_ponens,[status(thm)],[4910, 4909])).
% 4.22/3.14 tff(4912,plain,
% 4.22/3.14 (m_main_v_state1(s56, c_c1) | node1(s56) | node2(s56) | node3(s56) | node4(s56) | node5(s56) | node6(s56, s57)),
% 4.22/3.14 inference(unit_resolution,[status(thm)],[4911, 820, 4908])).
% 4.22/3.14 tff(4913,plain,
% 4.22/3.14 (node6(s56, s57)),
% 4.22/3.14 inference(unit_resolution,[status(thm)],[4912, 4897, 4861, 4857, 4853, 4849, 4832])).
% 4.22/3.14 tff(4914,plain,
% 4.22/3.14 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s56, c_t1)) | m_main_v_state1(s57, c_t1) | (~node6(s56, s57)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s56, c_t1)) | m_main_v_state1(s57, c_t1) | (~node6(s56, s57)))),
% 4.22/3.14 inference(rewrite,[status(thm)],[])).
% 4.22/3.14 tff(4915,plain,
% 4.22/3.14 (((~node6(s56, s57)) | (~m_main_v_state1(s56, c_t1)) | m_main_v_state1(s57, c_t1)) <=> ((~m_main_v_state1(s56, c_t1)) | m_main_v_state1(s57, c_t1) | (~node6(s56, s57)))),
% 4.22/3.14 inference(rewrite,[status(thm)],[])).
% 4.22/3.14 tff(4916,plain,
% 4.22/3.14 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s56, s57)) | (~m_main_v_state1(s56, c_t1)) | m_main_v_state1(s57, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s56, c_t1)) | m_main_v_state1(s57, c_t1) | (~node6(s56, s57))))),
% 4.22/3.14 inference(monotonicity,[status(thm)],[4915])).
% 4.22/3.14 tff(4917,plain,
% 4.22/3.14 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s56, s57)) | (~m_main_v_state1(s56, c_t1)) | m_main_v_state1(s57, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s56, c_t1)) | m_main_v_state1(s57, c_t1) | (~node6(s56, s57)))),
% 4.22/3.14 inference(transitivity,[status(thm)],[4916, 4914])).
% 4.22/3.14 tff(4918,plain,
% 4.22/3.14 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s56, s57)) | (~m_main_v_state1(s56, c_t1)) | m_main_v_state1(s57, c_t1))),
% 4.22/3.14 inference(quant_inst,[status(thm)],[])).
% 4.22/3.14 tff(4919,plain,
% 4.22/3.14 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s56, c_t1)) | m_main_v_state1(s57, c_t1) | (~node6(s56, s57))),
% 4.22/3.14 inference(modus_ponens,[status(thm)],[4918, 4917])).
% 4.22/3.14 tff(4920,plain,
% 4.22/3.14 (m_main_v_state1(s57, c_t1)),
% 4.22/3.14 inference(unit_resolution,[status(thm)],[4919, 856, 4824, 4913])).
% 4.22/3.14 tff(4921,plain,
% 4.22/3.14 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s56, c_t2)) | (~m_main_v_state2(s56, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s56, c_t2)) | (~m_main_v_state2(s56, c_c2)))),
% 4.22/3.14 inference(rewrite,[status(thm)],[])).
% 4.22/3.14 tff(4922,plain,
% 4.22/3.14 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s56, c_t2)) | (~m_main_v_state2(s56, c_c2)))),
% 4.22/3.14 inference(quant_inst,[status(thm)],[])).
% 4.22/3.14 tff(4923,plain,
% 4.22/3.14 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s56, c_t2)) | (~m_main_v_state2(s56, c_c2))),
% 4.22/3.14 inference(modus_ponens,[status(thm)],[4922, 4921])).
% 4.22/3.14 tff(4924,plain,
% 4.22/3.14 (~m_main_v_state2(s56, c_t2)),
% 4.22/3.14 inference(unit_resolution,[status(thm)],[4923, 260, 4889])).
% 4.22/3.14 tff(4925,plain,
% 4.22/3.14 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s56, c_t2) | (~node12(s56)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s56, c_t2) | (~node12(s56)))),
% 4.22/3.14 inference(rewrite,[status(thm)],[])).
% 4.22/3.14 tff(4926,plain,
% 4.22/3.14 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s56, c_t2) | (~node12(s56)))),
% 4.22/3.14 inference(quant_inst,[status(thm)],[])).
% 4.22/3.14 tff(4927,plain,
% 4.22/3.14 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s56, c_t2) | (~node12(s56))),
% 4.22/3.14 inference(modus_ponens,[status(thm)],[4926, 4925])).
% 4.22/3.14 tff(4928,plain,
% 4.22/3.14 (~node12(s56)),
% 4.22/3.14 inference(unit_resolution,[status(thm)],[4927, 633, 4924])).
% 4.22/3.14 tff(4929,plain,
% 4.22/3.14 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s56, c_n1) | (~node11(s56)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s56, c_n1) | (~node11(s56)))),
% 4.22/3.14 inference(rewrite,[status(thm)],[])).
% 4.22/3.14 tff(4930,plain,
% 4.22/3.14 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s56, c_n1) | (~node11(s56)))),
% 4.22/3.14 inference(quant_inst,[status(thm)],[])).
% 4.22/3.14 tff(4931,plain,
% 4.22/3.14 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s56, c_n1) | (~node11(s56))),
% 4.22/3.14 inference(modus_ponens,[status(thm)],[4930, 4929])).
% 4.22/3.14 tff(4932,plain,
% 4.22/3.14 (~node11(s56)),
% 4.22/3.14 inference(unit_resolution,[status(thm)],[4931, 238, 4828])).
% 4.22/3.14 tff(4933,plain,
% 4.22/3.14 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s56, c_c1) | (~node10(s56)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s56, c_c1) | (~node10(s56)))),
% 4.22/3.14 inference(rewrite,[status(thm)],[])).
% 4.22/3.14 tff(4934,plain,
% 4.22/3.14 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s56, c_c1) | (~node10(s56)))),
% 4.22/3.14 inference(quant_inst,[status(thm)],[])).
% 4.22/3.14 tff(4935,plain,
% 4.22/3.14 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s56, c_c1) | (~node10(s56))),
% 4.22/3.14 inference(modus_ponens,[status(thm)],[4934, 4933])).
% 4.22/3.14 tff(4936,plain,
% 4.22/3.14 (~node10(s56)),
% 4.22/3.14 inference(unit_resolution,[status(thm)],[4935, 675, 4861])).
% 4.22/3.14 tff(4937,plain,
% 4.22/3.14 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s56, c_n1) | (~node9(s56)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s56, c_n1) | (~node9(s56)))),
% 4.22/3.14 inference(rewrite,[status(thm)],[])).
% 4.22/3.14 tff(4938,plain,
% 4.22/3.14 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s56, c_n1) | (~node9(s56)))),
% 4.22/3.14 inference(quant_inst,[status(thm)],[])).
% 4.22/3.14 tff(4939,plain,
% 4.22/3.14 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s56, c_n1) | (~node9(s56))),
% 4.22/3.14 inference(modus_ponens,[status(thm)],[4938, 4937])).
% 4.22/3.14 tff(4940,plain,
% 4.22/3.14 (~node9(s56)),
% 4.22/3.14 inference(unit_resolution,[status(thm)],[4939, 686, 4828])).
% 4.22/3.14 tff(4941,plain,
% 4.22/3.14 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s56, c_n2) | (~node8(s56)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s56, c_n2) | (~node8(s56)))),
% 4.22/3.14 inference(rewrite,[status(thm)],[])).
% 4.22/3.14 tff(4942,plain,
% 4.22/3.14 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s56, c_n2) | (~node8(s56)))),
% 4.22/3.14 inference(quant_inst,[status(thm)],[])).
% 4.22/3.14 tff(4943,plain,
% 4.22/3.14 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s56, c_n2) | (~node8(s56))),
% 4.22/3.14 inference(modus_ponens,[status(thm)],[4942, 4941])).
% 4.22/3.14 tff(4944,plain,
% 4.22/3.14 (~node8(s56)),
% 4.22/3.14 inference(unit_resolution,[status(thm)],[4943, 271, 4893])).
% 4.22/3.14 tff(4945,plain,
% 4.22/3.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s56, s57)) | node14(s56, s57))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s56, s57)) | node14(s56, s57))),
% 4.22/3.14 inference(rewrite,[status(thm)],[])).
% 4.22/3.14 tff(4946,plain,
% 4.22/3.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s56, s57)) | node14(s56, s57))),
% 4.22/3.14 inference(quant_inst,[status(thm)],[])).
% 4.22/3.14 tff(4947,plain,
% 4.22/3.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s56, s57)) | node14(s56, s57)),
% 4.22/3.14 inference(modus_ponens,[status(thm)],[4946, 4945])).
% 4.22/3.14 tff(4948,plain,
% 4.22/3.14 (node14(s56, s57)),
% 4.22/3.14 inference(unit_resolution,[status(thm)],[4947, 46, 4904])).
% 4.22/3.14 tff(4949,plain,
% 4.22/3.14 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s57, c_n2) | node9(s56) | node8(s56) | node10(s56) | node11(s56) | node12(s56) | (~node14(s56, s57)) | (~m_main_v_state2(s56, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s57, c_n2) | node9(s56) | node8(s56) | node10(s56) | node11(s56) | node12(s56) | (~node14(s56, s57)) | (~m_main_v_state2(s56, c_c2)))),
% 4.22/3.14 inference(rewrite,[status(thm)],[])).
% 4.22/3.14 tff(4950,plain,
% 4.22/3.14 (((~m_main_v_state2(s56, c_c2)) | node9(s56) | node8(s56) | node10(s56) | node11(s56) | node12(s56) | (~node14(s56, s57)) | m_main_v_state2(s57, c_n2)) <=> (m_main_v_state2(s57, c_n2) | node9(s56) | node8(s56) | node10(s56) | node11(s56) | node12(s56) | (~node14(s56, s57)) | (~m_main_v_state2(s56, c_c2)))),
% 4.22/3.14 inference(rewrite,[status(thm)],[])).
% 4.22/3.14 tff(4951,plain,
% 4.22/3.14 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s56, c_c2)) | node9(s56) | node8(s56) | node10(s56) | node11(s56) | node12(s56) | (~node14(s56, s57)) | m_main_v_state2(s57, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s57, c_n2) | node9(s56) | node8(s56) | node10(s56) | node11(s56) | node12(s56) | (~node14(s56, s57)) | (~m_main_v_state2(s56, c_c2))))),
% 4.22/3.14 inference(monotonicity,[status(thm)],[4950])).
% 4.22/3.14 tff(4952,plain,
% 4.22/3.14 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s56, c_c2)) | node9(s56) | node8(s56) | node10(s56) | node11(s56) | node12(s56) | (~node14(s56, s57)) | m_main_v_state2(s57, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s57, c_n2) | node9(s56) | node8(s56) | node10(s56) | node11(s56) | node12(s56) | (~node14(s56, s57)) | (~m_main_v_state2(s56, c_c2)))),
% 4.22/3.14 inference(transitivity,[status(thm)],[4951, 4949])).
% 4.22/3.14 tff(4953,plain,
% 4.22/3.14 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s56, c_c2)) | node9(s56) | node8(s56) | node10(s56) | node11(s56) | node12(s56) | (~node14(s56, s57)) | m_main_v_state2(s57, c_n2))),
% 4.22/3.14 inference(quant_inst,[status(thm)],[])).
% 4.22/3.14 tff(4954,plain,
% 4.22/3.14 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s57, c_n2) | node9(s56) | node8(s56) | node10(s56) | node11(s56) | node12(s56) | (~node14(s56, s57)) | (~m_main_v_state2(s56, c_c2))),
% 4.22/3.14 inference(modus_ponens,[status(thm)],[4953, 4952])).
% 4.22/3.14 tff(4955,plain,
% 4.22/3.14 (m_main_v_state2(s57, c_n2) | node9(s56) | node8(s56) | node10(s56) | node11(s56) | node12(s56) | (~m_main_v_state2(s56, c_c2))),
% 4.22/3.14 inference(unit_resolution,[status(thm)],[4954, 726, 4948])).
% 4.22/3.14 tff(4956,plain,
% 4.22/3.14 (m_main_v_state2(s57, c_n2)),
% 4.22/3.14 inference(unit_resolution,[status(thm)],[4955, 4944, 4889, 4940, 4936, 4932, 4928])).
% 4.22/3.14 tff(4957,plain,
% 4.22/3.14 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s57, c_n2)) | (~m_main_v_state2(s57, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s57, c_n2)) | (~m_main_v_state2(s57, c_t2)))),
% 4.22/3.14 inference(rewrite,[status(thm)],[])).
% 4.22/3.14 tff(4958,plain,
% 4.22/3.14 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s57, c_n2)) | (~m_main_v_state2(s57, c_t2)))),
% 4.22/3.14 inference(quant_inst,[status(thm)],[])).
% 4.22/3.14 tff(4959,plain,
% 4.22/3.14 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s57, c_n2)) | (~m_main_v_state2(s57, c_t2))),
% 4.22/3.14 inference(modus_ponens,[status(thm)],[4958, 4957])).
% 4.22/3.14 tff(4960,plain,
% 4.22/3.14 (~m_main_v_state2(s57, c_t2)),
% 4.22/3.14 inference(unit_resolution,[status(thm)],[4959, 77, 4956])).
% 4.22/3.14 tff(4961,plain,
% 4.22/3.14 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s57, c_t2) | (~node15(s57)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s57, c_t2) | (~node15(s57)))),
% 4.22/3.14 inference(rewrite,[status(thm)],[])).
% 4.22/3.14 tff(4962,plain,
% 4.22/3.14 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s57, c_t2) | (~node15(s57)))),
% 4.22/3.14 inference(quant_inst,[status(thm)],[])).
% 4.22/3.14 tff(4963,plain,
% 4.22/3.14 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s57, c_t2) | (~node15(s57))),
% 4.22/3.14 inference(modus_ponens,[status(thm)],[4962, 4961])).
% 4.22/3.14 tff(4964,plain,
% 4.22/3.14 (~node15(s57)),
% 4.22/3.14 inference(unit_resolution,[status(thm)],[4963, 103, 4960])).
% 4.22/3.14 tff(4965,plain,
% 4.22/3.14 (succ(s57, s58) <=> succ(s57, s58)),
% 4.22/3.14 inference(rewrite,[status(thm)],[])).
% 4.22/3.14 tff(4966,axiom,(succ(s57, s58)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound58')).
% 4.22/3.14 tff(4967,plain,
% 4.22/3.14 (succ(s57, s58)),
% 4.22/3.14 inference(modus_ponens,[status(thm)],[4966, 4965])).
% 4.22/3.14 tff(4968,plain,
% 4.22/3.14 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s57, s58)) | trans(s57, s58))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s57, s58)) | trans(s57, s58))),
% 4.22/3.14 inference(rewrite,[status(thm)],[])).
% 4.22/3.14 tff(4969,plain,
% 4.22/3.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s57, s58)) | trans(s57, s58))),
% 4.22/3.14 inference(quant_inst,[status(thm)],[])).
% 4.22/3.14 tff(4970,plain,
% 4.22/3.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s57, s58)) | trans(s57, s58)),
% 4.22/3.14 inference(modus_ponens,[status(thm)],[4969, 4968])).
% 4.22/3.14 tff(4971,plain,
% 4.22/3.14 (trans(s57, s58)),
% 4.22/3.14 inference(unit_resolution,[status(thm)],[4970, 4967, 32])).
% 4.22/3.14 tff(4972,plain,
% 4.22/3.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s57, s58)) | node18(s57, s58))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s57, s58)) | node18(s57, s58))),
% 4.22/3.14 inference(rewrite,[status(thm)],[])).
% 4.22/3.14 tff(4973,plain,
% 4.22/3.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s57, s58)) | node18(s57, s58))),
% 4.22/3.14 inference(quant_inst,[status(thm)],[])).
% 4.22/3.14 tff(4974,plain,
% 4.22/3.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s57, s58)) | node18(s57, s58)),
% 4.22/3.14 inference(modus_ponens,[status(thm)],[4973, 4972])).
% 4.22/3.14 tff(4975,plain,
% 4.22/3.14 (node18(s57, s58)),
% 4.22/3.14 inference(unit_resolution,[status(thm)],[4974, 125, 4971])).
% 4.22/3.14 tff(4976,plain,
% 4.22/3.14 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s57) | (~node18(s57, s58)) | (~m_main_v_state1(s57, c_t1)) | (~m_main_v_state2(s57, c_n2)) | m_main_v_turn(s58, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s57) | (~node18(s57, s58)) | (~m_main_v_state1(s57, c_t1)) | (~m_main_v_state2(s57, c_n2)) | m_main_v_turn(s58, c_1))),
% 4.22/3.14 inference(rewrite,[status(thm)],[])).
% 4.22/3.14 tff(4977,plain,
% 4.22/3.14 (((~m_main_v_state1(s57, c_t1)) | (~m_main_v_state2(s57, c_n2)) | node15(s57) | (~node18(s57, s58)) | m_main_v_turn(s58, c_1)) <=> (node15(s57) | (~node18(s57, s58)) | (~m_main_v_state1(s57, c_t1)) | (~m_main_v_state2(s57, c_n2)) | m_main_v_turn(s58, c_1))),
% 4.22/3.14 inference(rewrite,[status(thm)],[])).
% 4.22/3.14 tff(4978,plain,
% 4.22/3.14 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s57, c_t1)) | (~m_main_v_state2(s57, c_n2)) | node15(s57) | (~node18(s57, s58)) | m_main_v_turn(s58, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s57) | (~node18(s57, s58)) | (~m_main_v_state1(s57, c_t1)) | (~m_main_v_state2(s57, c_n2)) | m_main_v_turn(s58, c_1)))),
% 4.22/3.14 inference(monotonicity,[status(thm)],[4977])).
% 4.22/3.14 tff(4979,plain,
% 4.22/3.14 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s57, c_t1)) | (~m_main_v_state2(s57, c_n2)) | node15(s57) | (~node18(s57, s58)) | m_main_v_turn(s58, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s57) | (~node18(s57, s58)) | (~m_main_v_state1(s57, c_t1)) | (~m_main_v_state2(s57, c_n2)) | m_main_v_turn(s58, c_1))),
% 4.22/3.14 inference(transitivity,[status(thm)],[4978, 4976])).
% 4.22/3.14 tff(4980,plain,
% 4.22/3.14 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s57, c_t1)) | (~m_main_v_state2(s57, c_n2)) | node15(s57) | (~node18(s57, s58)) | m_main_v_turn(s58, c_1))),
% 4.22/3.14 inference(quant_inst,[status(thm)],[])).
% 4.22/3.14 tff(4981,plain,
% 4.22/3.14 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s57) | (~node18(s57, s58)) | (~m_main_v_state1(s57, c_t1)) | (~m_main_v_state2(s57, c_n2)) | m_main_v_turn(s58, c_1)),
% 4.22/3.14 inference(modus_ponens,[status(thm)],[4980, 4979])).
% 4.22/3.14 tff(4982,plain,
% 4.22/3.14 (node15(s57) | (~m_main_v_state1(s57, c_t1)) | (~m_main_v_state2(s57, c_n2)) | m_main_v_turn(s58, c_1)),
% 4.22/3.14 inference(unit_resolution,[status(thm)],[4981, 992, 4975])).
% 4.22/3.14 tff(4983,plain,
% 4.22/3.14 (m_main_v_turn(s58, c_1)),
% 4.22/3.14 inference(unit_resolution,[status(thm)],[4982, 4964, 4956, 4920])).
% 4.22/3.14 tff(4984,plain,
% 4.22/3.14 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s58, c_1)) | (~m_main_v_turn(s58, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s58, c_1)) | (~m_main_v_turn(s58, c_2)))),
% 4.22/3.14 inference(rewrite,[status(thm)],[])).
% 4.22/3.14 tff(4985,plain,
% 4.22/3.14 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s58, c_1)) | (~m_main_v_turn(s58, c_2)))),
% 4.22/3.14 inference(quant_inst,[status(thm)],[])).
% 4.22/3.14 tff(4986,plain,
% 4.22/3.14 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s58, c_1)) | (~m_main_v_turn(s58, c_2))),
% 4.22/3.14 inference(modus_ponens,[status(thm)],[4985, 4984])).
% 4.22/3.14 tff(4987,plain,
% 4.22/3.14 (~m_main_v_turn(s58, c_2)),
% 4.22/3.14 inference(unit_resolution,[status(thm)],[4986, 156, 4983])).
% 4.22/3.14 tff(4988,plain,
% 4.22/3.14 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s58, c_2) | (~node12(s58)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s58, c_2) | (~node12(s58)))),
% 4.22/3.14 inference(rewrite,[status(thm)],[])).
% 4.22/3.14 tff(4989,plain,
% 4.22/3.14 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s58, c_2) | (~node12(s58)))),
% 4.22/3.14 inference(quant_inst,[status(thm)],[])).
% 4.22/3.14 tff(4990,plain,
% 4.22/3.14 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s58, c_2) | (~node12(s58))),
% 4.22/3.14 inference(modus_ponens,[status(thm)],[4989, 4988])).
% 4.22/3.14 tff(4991,plain,
% 4.22/3.14 (~node12(s58)),
% 4.22/3.14 inference(unit_resolution,[status(thm)],[4990, 184, 4987])).
% 4.22/3.14 tff(4992,plain,
% 4.22/3.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s57, s58)) | node14(s57, s58))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s57, s58)) | node14(s57, s58))),
% 4.22/3.14 inference(rewrite,[status(thm)],[])).
% 4.22/3.14 tff(4993,plain,
% 4.22/3.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s57, s58)) | node14(s57, s58))),
% 4.22/3.14 inference(quant_inst,[status(thm)],[])).
% 4.22/3.14 tff(4994,plain,
% 4.22/3.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s57, s58)) | node14(s57, s58)),
% 4.22/3.14 inference(modus_ponens,[status(thm)],[4993, 4992])).
% 4.22/3.14 tff(4995,plain,
% 4.22/3.14 (node14(s57, s58)),
% 4.22/3.14 inference(unit_resolution,[status(thm)],[4994, 46, 4971])).
% 4.22/3.14 tff(4996,plain,
% 4.22/3.14 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s57, c_t1)) | (~m_main_v_state2(s57, c_n2)) | (~node14(s57, s58)) | m_main_v_state2(s58, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s57, c_t1)) | (~m_main_v_state2(s57, c_n2)) | (~node14(s57, s58)) | m_main_v_state2(s58, c_t2))),
% 4.22/3.14 inference(rewrite,[status(thm)],[])).
% 4.22/3.14 tff(4997,plain,
% 4.22/3.14 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s57, c_t1)) | (~m_main_v_state2(s57, c_n2)) | (~node14(s57, s58)) | m_main_v_state2(s58, c_t2))),
% 4.22/3.15 inference(quant_inst,[status(thm)],[])).
% 4.22/3.15 tff(4998,plain,
% 4.22/3.15 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s57, c_t1)) | (~m_main_v_state2(s57, c_n2)) | (~node14(s57, s58)) | m_main_v_state2(s58, c_t2)),
% 4.22/3.15 inference(modus_ponens,[status(thm)],[4997, 4996])).
% 4.22/3.15 tff(4999,plain,
% 4.22/3.15 ((~m_main_v_state1(s57, c_t1)) | (~m_main_v_state2(s57, c_n2)) | m_main_v_state2(s58, c_t2)),
% 4.22/3.15 inference(unit_resolution,[status(thm)],[4998, 922, 4995])).
% 4.22/3.15 tff(5000,plain,
% 4.22/3.15 (m_main_v_state2(s58, c_t2)),
% 4.22/3.15 inference(unit_resolution,[status(thm)],[4999, 4920, 4956])).
% 4.22/3.15 tff(5001,plain,
% 4.22/3.15 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s58, c_n2)) | (~m_main_v_state2(s58, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s58, c_n2)) | (~m_main_v_state2(s58, c_t2)))),
% 4.22/3.15 inference(rewrite,[status(thm)],[])).
% 4.22/3.15 tff(5002,plain,
% 4.22/3.15 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s58, c_n2)) | (~m_main_v_state2(s58, c_t2)))),
% 4.22/3.15 inference(quant_inst,[status(thm)],[])).
% 4.22/3.15 tff(5003,plain,
% 4.22/3.15 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s58, c_n2)) | (~m_main_v_state2(s58, c_t2))),
% 4.22/3.15 inference(modus_ponens,[status(thm)],[5002, 5001])).
% 4.22/3.15 tff(5004,plain,
% 4.22/3.15 (~m_main_v_state2(s58, c_n2)),
% 4.22/3.15 inference(unit_resolution,[status(thm)],[5003, 77, 5000])).
% 4.22/3.15 tff(5005,plain,
% 4.22/3.15 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s58, c_n2) | (~node8(s58)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s58, c_n2) | (~node8(s58)))),
% 4.22/3.15 inference(rewrite,[status(thm)],[])).
% 4.22/3.15 tff(5006,plain,
% 4.22/3.15 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s58, c_n2) | (~node8(s58)))),
% 4.22/3.15 inference(quant_inst,[status(thm)],[])).
% 4.22/3.15 tff(5007,plain,
% 4.22/3.15 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s58, c_n2) | (~node8(s58))),
% 4.22/3.15 inference(modus_ponens,[status(thm)],[5006, 5005])).
% 4.22/3.15 tff(5008,plain,
% 4.22/3.15 (~node8(s58)),
% 4.22/3.15 inference(unit_resolution,[status(thm)],[5007, 271, 5004])).
% 4.22/3.15 tff(5009,plain,
% 4.22/3.15 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s58, c_n2) | (~node9(s58)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s58, c_n2) | (~node9(s58)))),
% 4.22/3.15 inference(rewrite,[status(thm)],[])).
% 4.22/3.15 tff(5010,plain,
% 4.22/3.15 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s58, c_n2) | (~node9(s58)))),
% 4.22/3.15 inference(quant_inst,[status(thm)],[])).
% 4.22/3.15 tff(5011,plain,
% 4.22/3.15 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s58, c_n2) | (~node9(s58))),
% 4.22/3.15 inference(modus_ponens,[status(thm)],[5010, 5009])).
% 4.22/3.15 tff(5012,plain,
% 4.22/3.15 (~node9(s58)),
% 4.22/3.15 inference(unit_resolution,[status(thm)],[5011, 88, 5004])).
% 4.22/3.15 tff(5013,plain,
% 4.22/3.15 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s58, c_n2) | (~node10(s58)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s58, c_n2) | (~node10(s58)))),
% 4.22/3.15 inference(rewrite,[status(thm)],[])).
% 4.22/3.15 tff(5014,plain,
% 4.22/3.15 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s58, c_n2) | (~node10(s58)))),
% 4.22/3.15 inference(quant_inst,[status(thm)],[])).
% 4.22/3.15 tff(5015,plain,
% 4.22/3.15 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s58, c_n2) | (~node10(s58))),
% 4.22/3.15 inference(modus_ponens,[status(thm)],[5014, 5013])).
% 4.22/3.15 tff(5016,plain,
% 4.22/3.15 (~node10(s58)),
% 4.22/3.15 inference(unit_resolution,[status(thm)],[5015, 249, 5004])).
% 4.22/3.15 tff(5017,plain,
% 4.22/3.15 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s58, c_t2)) | (~m_main_v_state2(s58, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s58, c_t2)) | (~m_main_v_state2(s58, c_c2)))),
% 4.22/3.15 inference(rewrite,[status(thm)],[])).
% 4.22/3.15 tff(5018,plain,
% 4.22/3.15 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s58, c_t2)) | (~m_main_v_state2(s58, c_c2)))),
% 4.22/3.15 inference(quant_inst,[status(thm)],[])).
% 4.22/3.15 tff(5019,plain,
% 4.22/3.15 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s58, c_t2)) | (~m_main_v_state2(s58, c_c2))),
% 4.22/3.15 inference(modus_ponens,[status(thm)],[5018, 5017])).
% 4.22/3.15 tff(5020,plain,
% 4.22/3.15 (~m_main_v_state2(s58, c_c2)),
% 4.22/3.15 inference(unit_resolution,[status(thm)],[5019, 260, 5000])).
% 4.22/3.15 tff(5021,plain,
% 4.22/3.15 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s57, c_n2)) | (~m_main_v_state2(s57, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s57, c_n2)) | (~m_main_v_state2(s57, c_c2)))),
% 4.22/3.15 inference(rewrite,[status(thm)],[])).
% 4.22/3.15 tff(5022,plain,
% 4.22/3.15 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s57, c_n2)) | (~m_main_v_state2(s57, c_c2)))),
% 4.22/3.15 inference(quant_inst,[status(thm)],[])).
% 4.22/3.15 tff(5023,plain,
% 4.22/3.15 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s57, c_n2)) | (~m_main_v_state2(s57, c_c2))),
% 4.22/3.15 inference(modus_ponens,[status(thm)],[5022, 5021])).
% 4.22/3.15 tff(5024,plain,
% 4.22/3.15 (~m_main_v_state2(s57, c_c2)),
% 4.22/3.15 inference(unit_resolution,[status(thm)],[5023, 697, 4956])).
% 4.22/3.15 tff(5025,plain,
% 4.22/3.15 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s57, c_c2) | (~node3(s57)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s57, c_c2) | (~node3(s57)))),
% 4.22/3.15 inference(rewrite,[status(thm)],[])).
% 4.22/3.15 tff(5026,plain,
% 4.22/3.15 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s57, c_c2) | (~node3(s57)))),
% 4.22/3.15 inference(quant_inst,[status(thm)],[])).
% 4.22/3.15 tff(5027,plain,
% 4.22/3.15 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s57, c_c2) | (~node3(s57))),
% 4.22/3.15 inference(modus_ponens,[status(thm)],[5026, 5025])).
% 4.22/3.15 tff(5028,plain,
% 4.22/3.15 (~node3(s57)),
% 4.22/3.15 inference(unit_resolution,[status(thm)],[5027, 399, 5024])).
% 4.22/3.15 tff(5029,plain,
% 4.22/3.15 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s56, c_n1) | (~m_main_v_state1(s57, c_n1)) | (~node6(s56, s57)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s56, c_n1) | (~m_main_v_state1(s57, c_n1)) | (~node6(s56, s57)))),
% 4.22/3.15 inference(rewrite,[status(thm)],[])).
% 4.22/3.15 tff(5030,plain,
% 4.22/3.15 (((~node6(s56, s57)) | m_main_v_state1(s56, c_n1) | (~m_main_v_state1(s57, c_n1))) <=> (m_main_v_state1(s56, c_n1) | (~m_main_v_state1(s57, c_n1)) | (~node6(s56, s57)))),
% 4.22/3.15 inference(rewrite,[status(thm)],[])).
% 4.22/3.15 tff(5031,plain,
% 4.22/3.15 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s56, s57)) | m_main_v_state1(s56, c_n1) | (~m_main_v_state1(s57, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s56, c_n1) | (~m_main_v_state1(s57, c_n1)) | (~node6(s56, s57))))),
% 4.22/3.15 inference(monotonicity,[status(thm)],[5030])).
% 4.22/3.15 tff(5032,plain,
% 4.22/3.15 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s56, s57)) | m_main_v_state1(s56, c_n1) | (~m_main_v_state1(s57, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s56, c_n1) | (~m_main_v_state1(s57, c_n1)) | (~node6(s56, s57)))),
% 4.22/3.15 inference(transitivity,[status(thm)],[5031, 5029])).
% 4.22/3.15 tff(5033,plain,
% 4.22/3.15 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s56, s57)) | m_main_v_state1(s56, c_n1) | (~m_main_v_state1(s57, c_n1)))),
% 4.22/3.15 inference(quant_inst,[status(thm)],[])).
% 4.22/3.15 tff(5034,plain,
% 4.22/3.15 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s56, c_n1) | (~m_main_v_state1(s57, c_n1)) | (~node6(s56, s57))),
% 4.22/3.15 inference(modus_ponens,[status(thm)],[5033, 5032])).
% 4.22/3.15 tff(5035,plain,
% 4.22/3.15 (~m_main_v_state1(s57, c_n1)),
% 4.22/3.15 inference(unit_resolution,[status(thm)],[5034, 835, 4828, 4913])).
% 4.22/3.15 tff(5036,plain,
% 4.22/3.15 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s57, c_n1) | (~node2(s57)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s57, c_n1) | (~node2(s57)))),
% 4.22/3.15 inference(rewrite,[status(thm)],[])).
% 4.22/3.15 tff(5037,plain,
% 4.22/3.15 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s57, c_n1) | (~node2(s57)))),
% 4.22/3.15 inference(quant_inst,[status(thm)],[])).
% 4.22/3.15 tff(5038,plain,
% 4.22/3.15 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s57, c_n1) | (~node2(s57))),
% 4.22/3.15 inference(modus_ponens,[status(thm)],[5037, 5036])).
% 4.22/3.15 tff(5039,plain,
% 4.22/3.15 (~node2(s57)),
% 4.22/3.15 inference(unit_resolution,[status(thm)],[5038, 787, 5035])).
% 4.22/3.15 tff(5040,plain,
% 4.22/3.15 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s57, c_t2) | (~node1(s57)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s57, c_t2) | (~node1(s57)))),
% 4.22/3.15 inference(rewrite,[status(thm)],[])).
% 4.22/3.15 tff(5041,plain,
% 4.22/3.15 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s57, c_t2) | (~node1(s57)))),
% 4.22/3.15 inference(quant_inst,[status(thm)],[])).
% 4.22/3.15 tff(5042,plain,
% 4.22/3.15 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s57, c_t2) | (~node1(s57))),
% 4.22/3.15 inference(modus_ponens,[status(thm)],[5041, 5040])).
% 4.22/3.15 tff(5043,plain,
% 4.22/3.15 (~node1(s57)),
% 4.22/3.15 inference(unit_resolution,[status(thm)],[5042, 195, 4960])).
% 4.22/3.15 tff(5044,plain,
% 4.22/3.15 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s57, s58)) | node7(s57, s58))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s57, s58)) | node7(s57, s58))),
% 4.22/3.15 inference(rewrite,[status(thm)],[])).
% 4.22/3.15 tff(5045,plain,
% 4.22/3.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s57, s58)) | node7(s57, s58))),
% 4.22/3.15 inference(quant_inst,[status(thm)],[])).
% 4.22/3.15 tff(5046,plain,
% 4.22/3.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s57, s58)) | node7(s57, s58)),
% 4.22/3.15 inference(modus_ponens,[status(thm)],[5045, 5044])).
% 4.22/3.15 tff(5047,plain,
% 4.22/3.15 (node7(s57, s58)),
% 4.22/3.15 inference(unit_resolution,[status(thm)],[5046, 206, 4971])).
% 4.22/3.15 tff(5048,plain,
% 4.22/3.15 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s57, c_t1)) | (~m_main_v_state2(s57, c_n2)) | m_main_v_state1(s58, c_c1) | node1(s57) | node2(s57) | node3(s57) | (~node7(s57, s58)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s57, c_t1)) | (~m_main_v_state2(s57, c_n2)) | m_main_v_state1(s58, c_c1) | node1(s57) | node2(s57) | node3(s57) | (~node7(s57, s58)))),
% 4.22/3.15 inference(rewrite,[status(thm)],[])).
% 4.22/3.15 tff(5049,plain,
% 4.22/3.15 (((~m_main_v_state1(s57, c_t1)) | (~m_main_v_state2(s57, c_n2)) | node1(s57) | node2(s57) | node3(s57) | (~node7(s57, s58)) | m_main_v_state1(s58, c_c1)) <=> ((~m_main_v_state1(s57, c_t1)) | (~m_main_v_state2(s57, c_n2)) | m_main_v_state1(s58, c_c1) | node1(s57) | node2(s57) | node3(s57) | (~node7(s57, s58)))),
% 4.22/3.15 inference(rewrite,[status(thm)],[])).
% 4.22/3.15 tff(5050,plain,
% 4.22/3.15 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s57, c_t1)) | (~m_main_v_state2(s57, c_n2)) | node1(s57) | node2(s57) | node3(s57) | (~node7(s57, s58)) | m_main_v_state1(s58, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s57, c_t1)) | (~m_main_v_state2(s57, c_n2)) | m_main_v_state1(s58, c_c1) | node1(s57) | node2(s57) | node3(s57) | (~node7(s57, s58))))),
% 4.22/3.15 inference(monotonicity,[status(thm)],[5049])).
% 4.22/3.15 tff(5051,plain,
% 4.22/3.15 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s57, c_t1)) | (~m_main_v_state2(s57, c_n2)) | node1(s57) | node2(s57) | node3(s57) | (~node7(s57, s58)) | m_main_v_state1(s58, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s57, c_t1)) | (~m_main_v_state2(s57, c_n2)) | m_main_v_state1(s58, c_c1) | node1(s57) | node2(s57) | node3(s57) | (~node7(s57, s58)))),
% 4.22/3.15 inference(transitivity,[status(thm)],[5050, 5048])).
% 4.22/3.15 tff(5052,plain,
% 4.22/3.15 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s57, c_t1)) | (~m_main_v_state2(s57, c_n2)) | node1(s57) | node2(s57) | node3(s57) | (~node7(s57, s58)) | m_main_v_state1(s58, c_c1))),
% 4.22/3.15 inference(quant_inst,[status(thm)],[])).
% 4.22/3.15 tff(5053,plain,
% 4.22/3.15 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s57, c_t1)) | (~m_main_v_state2(s57, c_n2)) | m_main_v_state1(s58, c_c1) | node1(s57) | node2(s57) | node3(s57) | (~node7(s57, s58))),
% 4.22/3.15 inference(modus_ponens,[status(thm)],[5052, 5051])).
% 4.22/3.15 tff(5054,plain,
% 4.22/3.15 ((~m_main_v_state1(s57, c_t1)) | (~m_main_v_state2(s57, c_n2)) | m_main_v_state1(s58, c_c1) | node1(s57) | node2(s57) | node3(s57)),
% 4.22/3.15 inference(unit_resolution,[status(thm)],[5053, 892, 5047])).
% 4.22/3.15 tff(5055,plain,
% 4.22/3.15 (m_main_v_state1(s58, c_c1)),
% 4.22/3.15 inference(unit_resolution,[status(thm)],[5054, 5043, 4956, 4920, 5039, 5028])).
% 4.22/3.15 tff(5056,plain,
% 4.22/3.15 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s58, c_n1)) | (~m_main_v_state1(s58, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s58, c_n1)) | (~m_main_v_state1(s58, c_c1)))),
% 4.22/3.15 inference(rewrite,[status(thm)],[])).
% 4.22/3.15 tff(5057,plain,
% 4.22/3.15 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s58, c_n1)) | (~m_main_v_state1(s58, c_c1)))),
% 4.22/3.15 inference(quant_inst,[status(thm)],[])).
% 4.22/3.15 tff(5058,plain,
% 4.22/3.15 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s58, c_n1)) | (~m_main_v_state1(s58, c_c1))),
% 4.22/3.15 inference(modus_ponens,[status(thm)],[5057, 5056])).
% 4.22/3.15 tff(5059,plain,
% 4.22/3.15 (~m_main_v_state1(s58, c_n1)),
% 4.22/3.15 inference(unit_resolution,[status(thm)],[5058, 454, 5055])).
% 4.22/3.15 tff(5060,plain,
% 4.22/3.15 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s58, c_n1) | (~node11(s58)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s58, c_n1) | (~node11(s58)))),
% 4.22/3.15 inference(rewrite,[status(thm)],[])).
% 4.22/3.15 tff(5061,plain,
% 4.22/3.15 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s58, c_n1) | (~node11(s58)))),
% 4.22/3.15 inference(quant_inst,[status(thm)],[])).
% 4.22/3.15 tff(5062,plain,
% 4.22/3.15 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s58, c_n1) | (~node11(s58))),
% 4.22/3.15 inference(modus_ponens,[status(thm)],[5061, 5060])).
% 4.22/3.15 tff(5063,plain,
% 4.22/3.15 (~node11(s58)),
% 4.22/3.15 inference(unit_resolution,[status(thm)],[5062, 238, 5059])).
% 4.22/3.15 tff(5064,plain,
% 4.22/3.15 (succ(s58, s59) <=> succ(s58, s59)),
% 4.22/3.15 inference(rewrite,[status(thm)],[])).
% 4.22/3.15 tff(5065,axiom,(succ(s58, s59)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound59')).
% 4.22/3.15 tff(5066,plain,
% 4.22/3.15 (succ(s58, s59)),
% 4.22/3.15 inference(modus_ponens,[status(thm)],[5065, 5064])).
% 4.22/3.15 tff(5067,plain,
% 4.22/3.15 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s58, s59)) | trans(s58, s59))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s58, s59)) | trans(s58, s59))),
% 4.22/3.15 inference(rewrite,[status(thm)],[])).
% 4.22/3.15 tff(5068,plain,
% 4.22/3.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s58, s59)) | trans(s58, s59))),
% 4.22/3.15 inference(quant_inst,[status(thm)],[])).
% 4.22/3.15 tff(5069,plain,
% 4.22/3.15 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s58, s59)) | trans(s58, s59)),
% 4.22/3.15 inference(modus_ponens,[status(thm)],[5068, 5067])).
% 4.22/3.15 tff(5070,plain,
% 4.22/3.15 (trans(s58, s59)),
% 4.22/3.15 inference(unit_resolution,[status(thm)],[5069, 5066, 32])).
% 4.22/3.15 tff(5071,plain,
% 4.22/3.15 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s58, s59)) | node14(s58, s59))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s58, s59)) | node14(s58, s59))),
% 4.22/3.15 inference(rewrite,[status(thm)],[])).
% 4.22/3.15 tff(5072,plain,
% 4.22/3.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s58, s59)) | node14(s58, s59))),
% 4.22/3.15 inference(quant_inst,[status(thm)],[])).
% 4.22/3.15 tff(5073,plain,
% 4.22/3.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s58, s59)) | node14(s58, s59)),
% 4.22/3.15 inference(modus_ponens,[status(thm)],[5072, 5071])).
% 4.22/3.15 tff(5074,plain,
% 4.22/3.15 (node14(s58, s59)),
% 4.22/3.15 inference(unit_resolution,[status(thm)],[5073, 46, 5070])).
% 4.22/3.15 tff(5075,plain,
% 4.22/3.15 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s58, c_c2) | node9(s58) | node8(s58) | node10(s58) | node11(s58) | node12(s58) | node13(s58, s59) | (~node14(s58, s59)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s58, c_c2) | node9(s58) | node8(s58) | node10(s58) | node11(s58) | node12(s58) | node13(s58, s59) | (~node14(s58, s59)))),
% 4.22/3.15 inference(rewrite,[status(thm)],[])).
% 4.22/3.15 tff(5076,plain,
% 4.22/3.15 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s58, c_c2) | node9(s58) | node8(s58) | node10(s58) | node11(s58) | node12(s58) | node13(s58, s59) | (~node14(s58, s59)))),
% 4.22/3.15 inference(quant_inst,[status(thm)],[])).
% 4.22/3.15 tff(5077,plain,
% 4.22/3.15 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s58, c_c2) | node9(s58) | node8(s58) | node10(s58) | node11(s58) | node12(s58) | node13(s58, s59) | (~node14(s58, s59))),
% 4.22/3.15 inference(modus_ponens,[status(thm)],[5076, 5075])).
% 4.22/3.15 tff(5078,plain,
% 4.22/3.15 (m_main_v_state2(s58, c_c2) | node9(s58) | node8(s58) | node10(s58) | node11(s58) | node12(s58) | node13(s58, s59)),
% 4.22/3.15 inference(unit_resolution,[status(thm)],[5077, 296, 5074])).
% 4.22/3.15 tff(5079,plain,
% 4.22/3.15 (node13(s58, s59)),
% 4.22/3.15 inference(unit_resolution,[status(thm)],[5078, 5063, 5020, 5016, 5012, 5008, 4991])).
% 4.22/3.15 tff(5080,plain,
% 4.22/3.15 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s58, c_n2) | (~m_main_v_state2(s59, c_n2)) | (~node13(s58, s59)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s58, c_n2) | (~m_main_v_state2(s59, c_n2)) | (~node13(s58, s59)))),
% 4.22/3.15 inference(rewrite,[status(thm)],[])).
% 4.22/3.15 tff(5081,plain,
% 4.22/3.15 (((~node13(s58, s59)) | m_main_v_state2(s58, c_n2) | (~m_main_v_state2(s59, c_n2))) <=> (m_main_v_state2(s58, c_n2) | (~m_main_v_state2(s59, c_n2)) | (~node13(s58, s59)))),
% 4.22/3.15 inference(rewrite,[status(thm)],[])).
% 4.22/3.15 tff(5082,plain,
% 4.22/3.15 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s58, s59)) | m_main_v_state2(s58, c_n2) | (~m_main_v_state2(s59, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s58, c_n2) | (~m_main_v_state2(s59, c_n2)) | (~node13(s58, s59))))),
% 4.22/3.15 inference(monotonicity,[status(thm)],[5081])).
% 4.22/3.15 tff(5083,plain,
% 4.22/3.15 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s58, s59)) | m_main_v_state2(s58, c_n2) | (~m_main_v_state2(s59, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s58, c_n2) | (~m_main_v_state2(s59, c_n2)) | (~node13(s58, s59)))),
% 4.22/3.15 inference(transitivity,[status(thm)],[5082, 5080])).
% 4.22/3.15 tff(5084,plain,
% 4.22/3.15 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s58, s59)) | m_main_v_state2(s58, c_n2) | (~m_main_v_state2(s59, c_n2)))),
% 4.22/3.15 inference(quant_inst,[status(thm)],[])).
% 4.22/3.15 tff(5085,plain,
% 4.22/3.15 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s58, c_n2) | (~m_main_v_state2(s59, c_n2)) | (~node13(s58, s59))),
% 4.22/3.15 inference(modus_ponens,[status(thm)],[5084, 5083])).
% 4.22/3.15 tff(5086,plain,
% 4.22/3.15 (~m_main_v_state2(s59, c_n2)),
% 4.22/3.15 inference(unit_resolution,[status(thm)],[5085, 311, 5004, 5079])).
% 4.22/3.15 tff(5087,plain,
% 4.22/3.15 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s59, c_n2) | (~node9(s59)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s59, c_n2) | (~node9(s59)))),
% 4.22/3.15 inference(rewrite,[status(thm)],[])).
% 4.22/3.15 tff(5088,plain,
% 4.22/3.15 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s59, c_n2) | (~node9(s59)))),
% 4.22/3.15 inference(quant_inst,[status(thm)],[])).
% 4.22/3.15 tff(5089,plain,
% 4.22/3.15 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s59, c_n2) | (~node9(s59))),
% 4.22/3.15 inference(modus_ponens,[status(thm)],[5088, 5087])).
% 4.22/3.15 tff(5090,plain,
% 4.22/3.15 (~node9(s59)),
% 4.22/3.15 inference(unit_resolution,[status(thm)],[5089, 88, 5086])).
% 4.22/3.15 tff(5091,plain,
% 4.22/3.15 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s59, c_n2) | (~node10(s59)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s59, c_n2) | (~node10(s59)))),
% 4.22/3.15 inference(rewrite,[status(thm)],[])).
% 4.22/3.15 tff(5092,plain,
% 4.22/3.15 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s59, c_n2) | (~node10(s59)))),
% 4.22/3.15 inference(quant_inst,[status(thm)],[])).
% 4.22/3.15 tff(5093,plain,
% 4.22/3.15 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s59, c_n2) | (~node10(s59))),
% 4.22/3.15 inference(modus_ponens,[status(thm)],[5092, 5091])).
% 4.22/3.15 tff(5094,plain,
% 4.22/3.15 (~node10(s59)),
% 4.22/3.15 inference(unit_resolution,[status(thm)],[5093, 249, 5086])).
% 4.22/3.15 tff(5095,plain,
% 4.22/3.15 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s58, c_t2)) | m_main_v_state2(s59, c_t2) | (~node13(s58, s59)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s58, c_t2)) | m_main_v_state2(s59, c_t2) | (~node13(s58, s59)))),
% 4.22/3.15 inference(rewrite,[status(thm)],[])).
% 4.22/3.15 tff(5096,plain,
% 4.22/3.15 (((~node13(s58, s59)) | (~m_main_v_state2(s58, c_t2)) | m_main_v_state2(s59, c_t2)) <=> ((~m_main_v_state2(s58, c_t2)) | m_main_v_state2(s59, c_t2) | (~node13(s58, s59)))),
% 4.22/3.15 inference(rewrite,[status(thm)],[])).
% 4.22/3.15 tff(5097,plain,
% 4.22/3.15 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s58, s59)) | (~m_main_v_state2(s58, c_t2)) | m_main_v_state2(s59, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s58, c_t2)) | m_main_v_state2(s59, c_t2) | (~node13(s58, s59))))),
% 4.22/3.15 inference(monotonicity,[status(thm)],[5096])).
% 4.22/3.15 tff(5098,plain,
% 4.22/3.15 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s58, s59)) | (~m_main_v_state2(s58, c_t2)) | m_main_v_state2(s59, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s58, c_t2)) | m_main_v_state2(s59, c_t2) | (~node13(s58, s59)))),
% 4.22/3.15 inference(transitivity,[status(thm)],[5097, 5095])).
% 4.22/3.15 tff(5099,plain,
% 4.22/3.15 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s58, s59)) | (~m_main_v_state2(s58, c_t2)) | m_main_v_state2(s59, c_t2))),
% 4.22/3.15 inference(quant_inst,[status(thm)],[])).
% 4.22/3.15 tff(5100,plain,
% 4.22/3.15 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s58, c_t2)) | m_main_v_state2(s59, c_t2) | (~node13(s58, s59))),
% 4.22/3.15 inference(modus_ponens,[status(thm)],[5099, 5098])).
% 4.22/3.15 tff(5101,plain,
% 4.22/3.15 (m_main_v_state2(s59, c_t2)),
% 4.22/3.15 inference(unit_resolution,[status(thm)],[5100, 518, 5000, 5079])).
% 4.22/3.15 tff(5102,plain,
% 4.22/3.15 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s58, c_t1)) | (~m_main_v_state1(s58, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s58, c_t1)) | (~m_main_v_state1(s58, c_c1)))),
% 4.22/3.15 inference(rewrite,[status(thm)],[])).
% 4.22/3.15 tff(5103,plain,
% 4.22/3.15 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s58, c_t1)) | (~m_main_v_state1(s58, c_c1)))),
% 4.22/3.15 inference(quant_inst,[status(thm)],[])).
% 4.22/3.15 tff(5104,plain,
% 4.22/3.15 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s58, c_t1)) | (~m_main_v_state1(s58, c_c1))),
% 4.22/3.15 inference(modus_ponens,[status(thm)],[5103, 5102])).
% 4.22/3.15 tff(5105,plain,
% 4.22/3.15 (~m_main_v_state1(s58, c_t1)),
% 4.22/3.15 inference(unit_resolution,[status(thm)],[5104, 539, 5055])).
% 4.22/3.15 tff(5106,plain,
% 4.22/3.15 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s58, c_t1) | (~node5(s58)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s58, c_t1) | (~node5(s58)))),
% 4.22/3.15 inference(rewrite,[status(thm)],[])).
% 4.22/3.15 tff(5107,plain,
% 4.22/3.15 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s58, c_t1) | (~node5(s58)))),
% 4.22/3.15 inference(quant_inst,[status(thm)],[])).
% 4.22/3.15 tff(5108,plain,
% 4.22/3.15 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s58, c_t1) | (~node5(s58))),
% 4.22/3.15 inference(modus_ponens,[status(thm)],[5107, 5106])).
% 4.22/3.15 tff(5109,plain,
% 4.22/3.15 (~node5(s58)),
% 4.22/3.15 inference(unit_resolution,[status(thm)],[5108, 550, 5105])).
% 4.22/3.15 tff(5110,plain,
% 4.22/3.15 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s58, c_n2) | (~node4(s58)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s58, c_n2) | (~node4(s58)))),
% 4.22/3.15 inference(rewrite,[status(thm)],[])).
% 4.22/3.15 tff(5111,plain,
% 4.22/3.15 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s58, c_n2) | (~node4(s58)))),
% 4.22/3.15 inference(quant_inst,[status(thm)],[])).
% 4.22/3.15 tff(5112,plain,
% 4.22/3.15 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s58, c_n2) | (~node4(s58))),
% 4.22/3.15 inference(modus_ponens,[status(thm)],[5111, 5110])).
% 4.22/3.15 tff(5113,plain,
% 4.22/3.15 (~node4(s58)),
% 4.22/3.15 inference(unit_resolution,[status(thm)],[5112, 388, 5004])).
% 4.22/3.15 tff(5114,plain,
% 4.22/3.15 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s58, c_c2) | (~node3(s58)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s58, c_c2) | (~node3(s58)))),
% 4.22/3.15 inference(rewrite,[status(thm)],[])).
% 4.22/3.15 tff(5115,plain,
% 4.22/3.15 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s58, c_c2) | (~node3(s58)))),
% 4.22/3.15 inference(quant_inst,[status(thm)],[])).
% 4.22/3.15 tff(5116,plain,
% 4.22/3.15 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s58, c_c2) | (~node3(s58))),
% 4.22/3.15 inference(modus_ponens,[status(thm)],[5115, 5114])).
% 4.22/3.15 tff(5117,plain,
% 4.22/3.15 (~node3(s58)),
% 4.22/3.15 inference(unit_resolution,[status(thm)],[5116, 399, 5020])).
% 4.22/3.15 tff(5118,plain,
% 4.22/3.15 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s58, c_n2) | (~node2(s58)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s58, c_n2) | (~node2(s58)))),
% 4.22/3.15 inference(rewrite,[status(thm)],[])).
% 4.22/3.15 tff(5119,plain,
% 4.22/3.15 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s58, c_n2) | (~node2(s58)))),
% 4.22/3.15 inference(quant_inst,[status(thm)],[])).
% 4.22/3.15 tff(5120,plain,
% 4.22/3.16 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s58, c_n2) | (~node2(s58))),
% 4.22/3.16 inference(modus_ponens,[status(thm)],[5119, 5118])).
% 4.22/3.16 tff(5121,plain,
% 4.22/3.16 (~node2(s58)),
% 4.22/3.16 inference(unit_resolution,[status(thm)],[5120, 410, 5004])).
% 4.22/3.16 tff(5122,plain,
% 4.22/3.16 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s58, c_n1) | (~node1(s58)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s58, c_n1) | (~node1(s58)))),
% 4.22/3.16 inference(rewrite,[status(thm)],[])).
% 4.22/3.16 tff(5123,plain,
% 4.22/3.16 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s58, c_n1) | (~node1(s58)))),
% 4.22/3.16 inference(quant_inst,[status(thm)],[])).
% 4.22/3.16 tff(5124,plain,
% 4.22/3.16 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s58, c_n1) | (~node1(s58))),
% 4.22/3.16 inference(modus_ponens,[status(thm)],[5123, 5122])).
% 4.22/3.16 tff(5125,plain,
% 4.22/3.16 (~node1(s58)),
% 4.22/3.16 inference(unit_resolution,[status(thm)],[5124, 421, 5059])).
% 4.22/3.16 tff(5126,plain,
% 4.22/3.16 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s58, s59)) | node7(s58, s59))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s58, s59)) | node7(s58, s59))),
% 4.22/3.16 inference(rewrite,[status(thm)],[])).
% 4.22/3.16 tff(5127,plain,
% 4.22/3.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s58, s59)) | node7(s58, s59))),
% 4.22/3.16 inference(quant_inst,[status(thm)],[])).
% 4.22/3.16 tff(5128,plain,
% 4.22/3.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s58, s59)) | node7(s58, s59)),
% 4.22/3.16 inference(modus_ponens,[status(thm)],[5127, 5126])).
% 4.22/3.16 tff(5129,plain,
% 4.22/3.16 (node7(s58, s59)),
% 4.22/3.16 inference(unit_resolution,[status(thm)],[5128, 206, 5070])).
% 4.22/3.16 tff(5130,plain,
% 4.22/3.16 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s59, c_n1) | (~m_main_v_state1(s58, c_c1)) | node1(s58) | node2(s58) | node3(s58) | node4(s58) | node5(s58) | (~node7(s58, s59)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s59, c_n1) | (~m_main_v_state1(s58, c_c1)) | node1(s58) | node2(s58) | node3(s58) | node4(s58) | node5(s58) | (~node7(s58, s59)))),
% 4.22/3.16 inference(rewrite,[status(thm)],[])).
% 4.22/3.16 tff(5131,plain,
% 4.22/3.16 (((~m_main_v_state1(s58, c_c1)) | node1(s58) | node2(s58) | node3(s58) | node4(s58) | node5(s58) | (~node7(s58, s59)) | m_main_v_state1(s59, c_n1)) <=> (m_main_v_state1(s59, c_n1) | (~m_main_v_state1(s58, c_c1)) | node1(s58) | node2(s58) | node3(s58) | node4(s58) | node5(s58) | (~node7(s58, s59)))),
% 4.22/3.16 inference(rewrite,[status(thm)],[])).
% 4.22/3.16 tff(5132,plain,
% 4.22/3.16 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s58, c_c1)) | node1(s58) | node2(s58) | node3(s58) | node4(s58) | node5(s58) | (~node7(s58, s59)) | m_main_v_state1(s59, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s59, c_n1) | (~m_main_v_state1(s58, c_c1)) | node1(s58) | node2(s58) | node3(s58) | node4(s58) | node5(s58) | (~node7(s58, s59))))),
% 4.22/3.16 inference(monotonicity,[status(thm)],[5131])).
% 4.22/3.16 tff(5133,plain,
% 4.22/3.16 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s58, c_c1)) | node1(s58) | node2(s58) | node3(s58) | node4(s58) | node5(s58) | (~node7(s58, s59)) | m_main_v_state1(s59, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s59, c_n1) | (~m_main_v_state1(s58, c_c1)) | node1(s58) | node2(s58) | node3(s58) | node4(s58) | node5(s58) | (~node7(s58, s59)))),
% 4.22/3.16 inference(transitivity,[status(thm)],[5132, 5130])).
% 4.22/3.16 tff(5134,plain,
% 4.22/3.16 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s58, c_c1)) | node1(s58) | node2(s58) | node3(s58) | node4(s58) | node5(s58) | (~node7(s58, s59)) | m_main_v_state1(s59, c_n1))),
% 4.22/3.16 inference(quant_inst,[status(thm)],[])).
% 4.22/3.16 tff(5135,plain,
% 4.22/3.16 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s59, c_n1) | (~m_main_v_state1(s58, c_c1)) | node1(s58) | node2(s58) | node3(s58) | node4(s58) | node5(s58) | (~node7(s58, s59))),
% 4.22/3.16 inference(modus_ponens,[status(thm)],[5134, 5133])).
% 4.22/3.16 tff(5136,plain,
% 4.22/3.16 (m_main_v_state1(s59, c_n1) | (~m_main_v_state1(s58, c_c1)) | node1(s58) | node2(s58) | node3(s58) | node4(s58) | node5(s58)),
% 4.22/3.16 inference(unit_resolution,[status(thm)],[5135, 584, 5129])).
% 4.22/3.16 tff(5137,plain,
% 4.22/3.16 (m_main_v_state1(s59, c_n1)),
% 4.22/3.16 inference(unit_resolution,[status(thm)],[5136, 5125, 5055, 5121, 5117, 5113, 5109])).
% 4.22/3.16 tff(5138,plain,
% 4.22/3.16 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s59, c_n2) | (~node8(s59)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s59, c_n2) | (~node8(s59)))),
% 4.22/3.16 inference(rewrite,[status(thm)],[])).
% 4.22/3.16 tff(5139,plain,
% 4.22/3.16 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s59, c_n2) | (~node8(s59)))),
% 4.22/3.16 inference(quant_inst,[status(thm)],[])).
% 4.22/3.16 tff(5140,plain,
% 4.22/3.16 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s59, c_n2) | (~node8(s59))),
% 4.22/3.16 inference(modus_ponens,[status(thm)],[5139, 5138])).
% 4.22/3.16 tff(5141,plain,
% 4.22/3.16 (~node8(s59)),
% 4.22/3.16 inference(unit_resolution,[status(thm)],[5140, 271, 5086])).
% 4.22/3.16 tff(5142,plain,
% 4.22/3.16 (succ(s59, s60) <=> succ(s59, s60)),
% 4.22/3.16 inference(rewrite,[status(thm)],[])).
% 4.22/3.16 tff(5143,axiom,(succ(s59, s60)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound60')).
% 4.22/3.16 tff(5144,plain,
% 4.22/3.16 (succ(s59, s60)),
% 4.22/3.16 inference(modus_ponens,[status(thm)],[5143, 5142])).
% 4.22/3.16 tff(5145,plain,
% 4.22/3.16 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s59, s60)) | trans(s59, s60))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s59, s60)) | trans(s59, s60))),
% 4.22/3.16 inference(rewrite,[status(thm)],[])).
% 4.22/3.16 tff(5146,plain,
% 4.22/3.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s59, s60)) | trans(s59, s60))),
% 4.22/3.16 inference(quant_inst,[status(thm)],[])).
% 4.22/3.16 tff(5147,plain,
% 4.22/3.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s59, s60)) | trans(s59, s60)),
% 4.22/3.16 inference(modus_ponens,[status(thm)],[5146, 5145])).
% 4.22/3.16 tff(5148,plain,
% 4.22/3.16 (trans(s59, s60)),
% 4.22/3.16 inference(unit_resolution,[status(thm)],[5147, 5144, 32])).
% 4.22/3.16 tff(5149,plain,
% 4.22/3.16 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s59, s60)) | node14(s59, s60))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s59, s60)) | node14(s59, s60))),
% 4.22/3.16 inference(rewrite,[status(thm)],[])).
% 4.22/3.16 tff(5150,plain,
% 4.22/3.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s59, s60)) | node14(s59, s60))),
% 4.22/3.16 inference(quant_inst,[status(thm)],[])).
% 4.22/3.16 tff(5151,plain,
% 4.22/3.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s59, s60)) | node14(s59, s60)),
% 4.22/3.16 inference(modus_ponens,[status(thm)],[5150, 5149])).
% 4.22/3.16 tff(5152,plain,
% 4.22/3.16 (node14(s59, s60)),
% 4.22/3.16 inference(unit_resolution,[status(thm)],[5151, 46, 5148])).
% 4.22/3.16 tff(5153,plain,
% 4.22/3.16 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s59, c_n1)) | (~m_main_v_state2(s59, c_t2)) | node9(s59) | node8(s59) | node10(s59) | (~node14(s59, s60)) | m_main_v_state2(s60, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s59, c_n1)) | (~m_main_v_state2(s59, c_t2)) | node9(s59) | node8(s59) | node10(s59) | (~node14(s59, s60)) | m_main_v_state2(s60, c_c2))),
% 4.32/3.16 inference(rewrite,[status(thm)],[])).
% 4.32/3.16 tff(5154,plain,
% 4.32/3.16 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s59, c_n1)) | (~m_main_v_state2(s59, c_t2)) | node9(s59) | node8(s59) | node10(s59) | (~node14(s59, s60)) | m_main_v_state2(s60, c_c2))),
% 4.32/3.16 inference(quant_inst,[status(thm)],[])).
% 4.32/3.16 tff(5155,plain,
% 4.32/3.16 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s59, c_n1)) | (~m_main_v_state2(s59, c_t2)) | node9(s59) | node8(s59) | node10(s59) | (~node14(s59, s60)) | m_main_v_state2(s60, c_c2)),
% 4.32/3.16 inference(modus_ponens,[status(thm)],[5154, 5153])).
% 4.32/3.16 tff(5156,plain,
% 4.32/3.16 ((~m_main_v_state1(s59, c_n1)) | (~m_main_v_state2(s59, c_t2)) | node9(s59) | node8(s59) | node10(s59) | m_main_v_state2(s60, c_c2)),
% 4.32/3.16 inference(unit_resolution,[status(thm)],[5155, 617, 5152])).
% 4.32/3.16 tff(5157,plain,
% 4.32/3.16 (m_main_v_state2(s60, c_c2)),
% 4.32/3.16 inference(unit_resolution,[status(thm)],[5156, 5141, 5137, 5101, 5094, 5090])).
% 4.32/3.16 tff(5158,plain,
% 4.32/3.16 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s60, c_t2)) | (~m_main_v_state2(s60, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s60, c_t2)) | (~m_main_v_state2(s60, c_c2)))),
% 4.32/3.16 inference(rewrite,[status(thm)],[])).
% 4.32/3.16 tff(5159,plain,
% 4.32/3.16 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s60, c_t2)) | (~m_main_v_state2(s60, c_c2)))),
% 4.32/3.16 inference(quant_inst,[status(thm)],[])).
% 4.32/3.16 tff(5160,plain,
% 4.32/3.16 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s60, c_t2)) | (~m_main_v_state2(s60, c_c2))),
% 4.32/3.16 inference(modus_ponens,[status(thm)],[5159, 5158])).
% 4.32/3.16 tff(5161,plain,
% 4.32/3.16 (~m_main_v_state2(s60, c_t2)),
% 4.32/3.16 inference(unit_resolution,[status(thm)],[5160, 260, 5157])).
% 4.32/3.16 tff(5162,plain,
% 4.32/3.16 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s60, c_t2) | (~node12(s60)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s60, c_t2) | (~node12(s60)))),
% 4.32/3.16 inference(rewrite,[status(thm)],[])).
% 4.32/3.16 tff(5163,plain,
% 4.32/3.16 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s60, c_t2) | (~node12(s60)))),
% 4.32/3.16 inference(quant_inst,[status(thm)],[])).
% 4.32/3.16 tff(5164,plain,
% 4.32/3.16 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s60, c_t2) | (~node12(s60))),
% 4.32/3.16 inference(modus_ponens,[status(thm)],[5163, 5162])).
% 4.32/3.16 tff(5165,plain,
% 4.32/3.16 (~node12(s60)),
% 4.32/3.16 inference(unit_resolution,[status(thm)],[5164, 633, 5161])).
% 4.32/3.16 tff(5166,plain,
% 4.32/3.16 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s59, s60)) | node7(s59, s60))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s59, s60)) | node7(s59, s60))),
% 4.32/3.16 inference(rewrite,[status(thm)],[])).
% 4.32/3.16 tff(5167,plain,
% 4.32/3.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s59, s60)) | node7(s59, s60))),
% 4.32/3.16 inference(quant_inst,[status(thm)],[])).
% 4.32/3.16 tff(5168,plain,
% 4.32/3.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s59, s60)) | node7(s59, s60)),
% 4.32/3.16 inference(modus_ponens,[status(thm)],[5167, 5166])).
% 4.32/3.16 tff(5169,plain,
% 4.32/3.16 (node7(s59, s60)),
% 4.32/3.16 inference(unit_resolution,[status(thm)],[5168, 206, 5148])).
% 4.32/3.16 tff(5170,plain,
% 4.32/3.16 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s59, c_n1)) | (~m_main_v_state2(s59, c_t2)) | (~node7(s59, s60)) | m_main_v_state1(s60, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s59, c_n1)) | (~m_main_v_state2(s59, c_t2)) | (~node7(s59, s60)) | m_main_v_state1(s60, c_t1))),
% 4.32/3.16 inference(rewrite,[status(thm)],[])).
% 4.32/3.16 tff(5171,plain,
% 4.32/3.16 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s59, c_n1)) | (~m_main_v_state2(s59, c_t2)) | (~node7(s59, s60)) | m_main_v_state1(s60, c_t1))),
% 4.32/3.16 inference(quant_inst,[status(thm)],[])).
% 4.32/3.16 tff(5172,plain,
% 4.32/3.16 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s59, c_n1)) | (~m_main_v_state2(s59, c_t2)) | (~node7(s59, s60)) | m_main_v_state1(s60, c_t1)),
% 4.32/3.16 inference(modus_ponens,[status(thm)],[5171, 5170])).
% 4.32/3.16 tff(5173,plain,
% 4.32/3.16 ((~m_main_v_state1(s59, c_n1)) | (~m_main_v_state2(s59, c_t2)) | m_main_v_state1(s60, c_t1)),
% 4.32/3.16 inference(unit_resolution,[status(thm)],[5172, 651, 5169])).
% 4.32/3.16 tff(5174,plain,
% 4.32/3.16 (m_main_v_state1(s60, c_t1)),
% 4.32/3.16 inference(unit_resolution,[status(thm)],[5173, 5101, 5137])).
% 4.32/3.16 tff(5175,plain,
% 4.32/3.16 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s60, c_n1)) | (~m_main_v_state1(s60, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s60, c_n1)) | (~m_main_v_state1(s60, c_t1)))),
% 4.32/3.16 inference(rewrite,[status(thm)],[])).
% 4.32/3.16 tff(5176,plain,
% 4.32/3.16 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s60, c_n1)) | (~m_main_v_state1(s60, c_t1)))),
% 4.32/3.16 inference(quant_inst,[status(thm)],[])).
% 4.32/3.16 tff(5177,plain,
% 4.32/3.16 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s60, c_n1)) | (~m_main_v_state1(s60, c_t1))),
% 4.32/3.16 inference(modus_ponens,[status(thm)],[5176, 5175])).
% 4.32/3.16 tff(5178,plain,
% 4.32/3.16 (~m_main_v_state1(s60, c_n1)),
% 4.32/3.16 inference(unit_resolution,[status(thm)],[5177, 10, 5174])).
% 4.32/3.16 tff(5179,plain,
% 4.32/3.16 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s60, c_n1) | (~node11(s60)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s60, c_n1) | (~node11(s60)))),
% 4.32/3.16 inference(rewrite,[status(thm)],[])).
% 4.32/3.16 tff(5180,plain,
% 4.32/3.16 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s60, c_n1) | (~node11(s60)))),
% 4.32/3.16 inference(quant_inst,[status(thm)],[])).
% 4.32/3.16 tff(5181,plain,
% 4.32/3.16 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s60, c_n1) | (~node11(s60))),
% 4.32/3.16 inference(modus_ponens,[status(thm)],[5180, 5179])).
% 4.32/3.16 tff(5182,plain,
% 4.32/3.16 (~node11(s60)),
% 4.32/3.16 inference(unit_resolution,[status(thm)],[5181, 238, 5178])).
% 4.32/3.16 tff(5183,plain,
% 4.32/3.16 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s60, c_t1)) | (~m_main_v_state1(s60, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s60, c_t1)) | (~m_main_v_state1(s60, c_c1)))),
% 4.32/3.16 inference(rewrite,[status(thm)],[])).
% 4.32/3.16 tff(5184,plain,
% 4.32/3.16 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s60, c_t1)) | (~m_main_v_state1(s60, c_c1)))),
% 4.32/3.16 inference(quant_inst,[status(thm)],[])).
% 4.32/3.16 tff(5185,plain,
% 4.32/3.16 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s60, c_t1)) | (~m_main_v_state1(s60, c_c1))),
% 4.32/3.16 inference(modus_ponens,[status(thm)],[5184, 5183])).
% 4.32/3.16 tff(5186,plain,
% 4.32/3.16 (~m_main_v_state1(s60, c_c1)),
% 4.32/3.16 inference(unit_resolution,[status(thm)],[5185, 539, 5174])).
% 4.32/3.16 tff(5187,plain,
% 4.32/3.16 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s60, c_c1) | (~node10(s60)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s60, c_c1) | (~node10(s60)))),
% 4.32/3.16 inference(rewrite,[status(thm)],[])).
% 4.32/3.16 tff(5188,plain,
% 4.32/3.16 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s60, c_c1) | (~node10(s60)))),
% 4.32/3.16 inference(quant_inst,[status(thm)],[])).
% 4.32/3.16 tff(5189,plain,
% 4.32/3.16 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s60, c_c1) | (~node10(s60))),
% 4.32/3.16 inference(modus_ponens,[status(thm)],[5188, 5187])).
% 4.32/3.16 tff(5190,plain,
% 4.32/3.16 (~node10(s60)),
% 4.32/3.16 inference(unit_resolution,[status(thm)],[5189, 675, 5186])).
% 4.32/3.16 tff(5191,plain,
% 4.32/3.16 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s60, c_n1) | (~node9(s60)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s60, c_n1) | (~node9(s60)))),
% 4.32/3.16 inference(rewrite,[status(thm)],[])).
% 4.32/3.16 tff(5192,plain,
% 4.32/3.16 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s60, c_n1) | (~node9(s60)))),
% 4.32/3.16 inference(quant_inst,[status(thm)],[])).
% 4.32/3.16 tff(5193,plain,
% 4.32/3.16 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s60, c_n1) | (~node9(s60))),
% 4.32/3.16 inference(modus_ponens,[status(thm)],[5192, 5191])).
% 4.32/3.16 tff(5194,plain,
% 4.32/3.16 (~node9(s60)),
% 4.32/3.16 inference(unit_resolution,[status(thm)],[5193, 686, 5178])).
% 4.32/3.16 tff(5195,plain,
% 4.32/3.16 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s60, c_n2)) | (~m_main_v_state2(s60, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s60, c_n2)) | (~m_main_v_state2(s60, c_c2)))),
% 4.32/3.16 inference(rewrite,[status(thm)],[])).
% 4.32/3.16 tff(5196,plain,
% 4.32/3.16 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s60, c_n2)) | (~m_main_v_state2(s60, c_c2)))),
% 4.32/3.16 inference(quant_inst,[status(thm)],[])).
% 4.32/3.16 tff(5197,plain,
% 4.32/3.16 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s60, c_n2)) | (~m_main_v_state2(s60, c_c2))),
% 4.32/3.16 inference(modus_ponens,[status(thm)],[5196, 5195])).
% 4.32/3.16 tff(5198,plain,
% 4.32/3.16 (~m_main_v_state2(s60, c_n2)),
% 4.32/3.16 inference(unit_resolution,[status(thm)],[5197, 697, 5157])).
% 4.32/3.16 tff(5199,plain,
% 4.32/3.16 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s60, c_n2) | (~node8(s60)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s60, c_n2) | (~node8(s60)))),
% 4.32/3.16 inference(rewrite,[status(thm)],[])).
% 4.32/3.16 tff(5200,plain,
% 4.32/3.16 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s60, c_n2) | (~node8(s60)))),
% 4.32/3.16 inference(quant_inst,[status(thm)],[])).
% 4.32/3.16 tff(5201,plain,
% 4.32/3.16 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s60, c_n2) | (~node8(s60))),
% 4.32/3.16 inference(modus_ponens,[status(thm)],[5200, 5199])).
% 4.32/3.16 tff(5202,plain,
% 4.32/3.16 (~node8(s60)),
% 4.32/3.16 inference(unit_resolution,[status(thm)],[5201, 271, 5198])).
% 4.32/3.16 tff(5203,plain,
% 4.32/3.16 (succ(s60, s61) <=> succ(s60, s61)),
% 4.32/3.16 inference(rewrite,[status(thm)],[])).
% 4.32/3.16 tff(5204,axiom,(succ(s60, s61)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound61')).
% 4.32/3.16 tff(5205,plain,
% 4.32/3.16 (succ(s60, s61)),
% 4.32/3.16 inference(modus_ponens,[status(thm)],[5204, 5203])).
% 4.32/3.16 tff(5206,plain,
% 4.32/3.16 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s60, s61)) | trans(s60, s61))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s60, s61)) | trans(s60, s61))),
% 4.32/3.16 inference(rewrite,[status(thm)],[])).
% 4.32/3.16 tff(5207,plain,
% 4.32/3.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s60, s61)) | trans(s60, s61))),
% 4.32/3.16 inference(quant_inst,[status(thm)],[])).
% 4.32/3.16 tff(5208,plain,
% 4.32/3.16 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s60, s61)) | trans(s60, s61)),
% 4.32/3.16 inference(modus_ponens,[status(thm)],[5207, 5206])).
% 4.32/3.16 tff(5209,plain,
% 4.32/3.16 (trans(s60, s61)),
% 4.32/3.16 inference(unit_resolution,[status(thm)],[5208, 5205, 32])).
% 4.32/3.16 tff(5210,plain,
% 4.32/3.16 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s60, s61)) | node14(s60, s61))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s60, s61)) | node14(s60, s61))),
% 4.32/3.16 inference(rewrite,[status(thm)],[])).
% 4.32/3.16 tff(5211,plain,
% 4.32/3.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s60, s61)) | node14(s60, s61))),
% 4.32/3.16 inference(quant_inst,[status(thm)],[])).
% 4.32/3.16 tff(5212,plain,
% 4.32/3.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s60, s61)) | node14(s60, s61)),
% 4.32/3.16 inference(modus_ponens,[status(thm)],[5211, 5210])).
% 4.32/3.16 tff(5213,plain,
% 4.32/3.16 (node14(s60, s61)),
% 4.32/3.16 inference(unit_resolution,[status(thm)],[5212, 46, 5209])).
% 4.32/3.16 tff(5214,plain,
% 4.32/3.16 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s61, c_n2) | node9(s60) | node8(s60) | node10(s60) | node11(s60) | node12(s60) | (~node14(s60, s61)) | (~m_main_v_state2(s60, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s61, c_n2) | node9(s60) | node8(s60) | node10(s60) | node11(s60) | node12(s60) | (~node14(s60, s61)) | (~m_main_v_state2(s60, c_c2)))),
% 4.32/3.16 inference(rewrite,[status(thm)],[])).
% 4.32/3.16 tff(5215,plain,
% 4.32/3.16 (((~m_main_v_state2(s60, c_c2)) | node9(s60) | node8(s60) | node10(s60) | node11(s60) | node12(s60) | (~node14(s60, s61)) | m_main_v_state2(s61, c_n2)) <=> (m_main_v_state2(s61, c_n2) | node9(s60) | node8(s60) | node10(s60) | node11(s60) | node12(s60) | (~node14(s60, s61)) | (~m_main_v_state2(s60, c_c2)))),
% 4.32/3.16 inference(rewrite,[status(thm)],[])).
% 4.32/3.16 tff(5216,plain,
% 4.32/3.16 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s60, c_c2)) | node9(s60) | node8(s60) | node10(s60) | node11(s60) | node12(s60) | (~node14(s60, s61)) | m_main_v_state2(s61, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s61, c_n2) | node9(s60) | node8(s60) | node10(s60) | node11(s60) | node12(s60) | (~node14(s60, s61)) | (~m_main_v_state2(s60, c_c2))))),
% 4.32/3.16 inference(monotonicity,[status(thm)],[5215])).
% 4.32/3.16 tff(5217,plain,
% 4.32/3.16 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s60, c_c2)) | node9(s60) | node8(s60) | node10(s60) | node11(s60) | node12(s60) | (~node14(s60, s61)) | m_main_v_state2(s61, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s61, c_n2) | node9(s60) | node8(s60) | node10(s60) | node11(s60) | node12(s60) | (~node14(s60, s61)) | (~m_main_v_state2(s60, c_c2)))),
% 4.32/3.16 inference(transitivity,[status(thm)],[5216, 5214])).
% 4.32/3.16 tff(5218,plain,
% 4.32/3.16 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s60, c_c2)) | node9(s60) | node8(s60) | node10(s60) | node11(s60) | node12(s60) | (~node14(s60, s61)) | m_main_v_state2(s61, c_n2))),
% 4.32/3.16 inference(quant_inst,[status(thm)],[])).
% 4.32/3.16 tff(5219,plain,
% 4.32/3.16 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s61, c_n2) | node9(s60) | node8(s60) | node10(s60) | node11(s60) | node12(s60) | (~node14(s60, s61)) | (~m_main_v_state2(s60, c_c2))),
% 4.32/3.16 inference(modus_ponens,[status(thm)],[5218, 5217])).
% 4.32/3.16 tff(5220,plain,
% 4.32/3.16 (m_main_v_state2(s61, c_n2) | node9(s60) | node8(s60) | node10(s60) | node11(s60) | node12(s60) | (~m_main_v_state2(s60, c_c2))),
% 4.32/3.16 inference(unit_resolution,[status(thm)],[5219, 726, 5213])).
% 4.32/3.16 tff(5221,plain,
% 4.32/3.16 (m_main_v_state2(s61, c_n2)),
% 4.32/3.16 inference(unit_resolution,[status(thm)],[5220, 5202, 5157, 5194, 5190, 5182, 5165])).
% 4.32/3.16 tff(5222,plain,
% 4.32/3.16 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s61, c_n2)) | (~m_main_v_state2(s61, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s61, c_n2)) | (~m_main_v_state2(s61, c_c2)))),
% 4.32/3.16 inference(rewrite,[status(thm)],[])).
% 4.32/3.16 tff(5223,plain,
% 4.32/3.16 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s61, c_n2)) | (~m_main_v_state2(s61, c_c2)))),
% 4.32/3.16 inference(quant_inst,[status(thm)],[])).
% 4.32/3.16 tff(5224,plain,
% 4.32/3.16 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s61, c_n2)) | (~m_main_v_state2(s61, c_c2))),
% 4.32/3.16 inference(modus_ponens,[status(thm)],[5223, 5222])).
% 4.32/3.16 tff(5225,plain,
% 4.32/3.16 (~m_main_v_state2(s61, c_c2)),
% 4.32/3.16 inference(unit_resolution,[status(thm)],[5224, 697, 5221])).
% 4.32/3.16 tff(5226,plain,
% 4.32/3.16 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s61, c_c2) | (~node3(s61)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s61, c_c2) | (~node3(s61)))),
% 4.32/3.16 inference(rewrite,[status(thm)],[])).
% 4.32/3.16 tff(5227,plain,
% 4.32/3.16 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s61, c_c2) | (~node3(s61)))),
% 4.32/3.16 inference(quant_inst,[status(thm)],[])).
% 4.32/3.16 tff(5228,plain,
% 4.32/3.16 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s61, c_c2) | (~node3(s61))),
% 4.32/3.16 inference(modus_ponens,[status(thm)],[5227, 5226])).
% 4.32/3.16 tff(5229,plain,
% 4.32/3.16 (~node3(s61)),
% 4.32/3.16 inference(unit_resolution,[status(thm)],[5228, 399, 5225])).
% 4.32/3.16 tff(5230,plain,
% 4.32/3.16 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s60, c_n1) | (~node1(s60)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s60, c_n1) | (~node1(s60)))),
% 4.32/3.16 inference(rewrite,[status(thm)],[])).
% 4.32/3.16 tff(5231,plain,
% 4.32/3.16 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s60, c_n1) | (~node1(s60)))),
% 4.32/3.16 inference(quant_inst,[status(thm)],[])).
% 4.32/3.16 tff(5232,plain,
% 4.32/3.16 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s60, c_n1) | (~node1(s60))),
% 4.32/3.16 inference(modus_ponens,[status(thm)],[5231, 5230])).
% 4.32/3.16 tff(5233,plain,
% 4.32/3.16 (~node1(s60)),
% 4.32/3.16 inference(unit_resolution,[status(thm)],[5232, 421, 5178])).
% 4.32/3.16 tff(5234,plain,
% 4.32/3.16 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s59, s60)) | node18(s59, s60))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s59, s60)) | node18(s59, s60))),
% 4.32/3.16 inference(rewrite,[status(thm)],[])).
% 4.32/3.16 tff(5235,plain,
% 4.32/3.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s59, s60)) | node18(s59, s60))),
% 4.32/3.16 inference(quant_inst,[status(thm)],[])).
% 4.32/3.16 tff(5236,plain,
% 4.32/3.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s59, s60)) | node18(s59, s60)),
% 4.32/3.16 inference(modus_ponens,[status(thm)],[5235, 5234])).
% 4.32/3.16 tff(5237,plain,
% 4.32/3.16 (node18(s59, s60)),
% 4.32/3.16 inference(unit_resolution,[status(thm)],[5236, 125, 5148])).
% 4.32/3.16 tff(5238,plain,
% 4.32/3.16 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s59, c_n1)) | (~m_main_v_state2(s59, c_t2)) | (~node18(s59, s60)) | m_main_v_turn(s60, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s59, c_n1)) | (~m_main_v_state2(s59, c_t2)) | (~node18(s59, s60)) | m_main_v_turn(s60, c_2))),
% 4.32/3.16 inference(rewrite,[status(thm)],[])).
% 4.32/3.16 tff(5239,plain,
% 4.32/3.16 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s59, c_n1)) | (~m_main_v_state2(s59, c_t2)) | (~node18(s59, s60)) | m_main_v_turn(s60, c_2))),
% 4.32/3.16 inference(quant_inst,[status(thm)],[])).
% 4.32/3.16 tff(5240,plain,
% 4.32/3.16 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s59, c_n1)) | (~m_main_v_state2(s59, c_t2)) | (~node18(s59, s60)) | m_main_v_turn(s60, c_2)),
% 4.32/3.16 inference(modus_ponens,[status(thm)],[5239, 5238])).
% 4.32/3.16 tff(5241,plain,
% 4.32/3.16 ((~m_main_v_state1(s59, c_n1)) | (~m_main_v_state2(s59, c_t2)) | m_main_v_turn(s60, c_2)),
% 4.32/3.16 inference(unit_resolution,[status(thm)],[5240, 760, 5237])).
% 4.32/3.16 tff(5242,plain,
% 4.32/3.16 (m_main_v_turn(s60, c_2)),
% 4.32/3.16 inference(unit_resolution,[status(thm)],[5241, 5101, 5137])).
% 4.32/3.16 tff(5243,plain,
% 4.32/3.16 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s60, c_1)) | (~m_main_v_turn(s60, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s60, c_1)) | (~m_main_v_turn(s60, c_2)))),
% 4.32/3.16 inference(rewrite,[status(thm)],[])).
% 4.32/3.16 tff(5244,plain,
% 4.32/3.16 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s60, c_1)) | (~m_main_v_turn(s60, c_2)))),
% 4.32/3.16 inference(quant_inst,[status(thm)],[])).
% 4.32/3.16 tff(5245,plain,
% 4.32/3.16 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s60, c_1)) | (~m_main_v_turn(s60, c_2))),
% 4.32/3.16 inference(modus_ponens,[status(thm)],[5244, 5243])).
% 4.32/3.16 tff(5246,plain,
% 4.32/3.16 (~m_main_v_turn(s60, c_1)),
% 4.32/3.16 inference(unit_resolution,[status(thm)],[5245, 156, 5242])).
% 4.32/3.16 tff(5247,plain,
% 4.32/3.16 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s60, c_1) | (~node5(s60)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s60, c_1) | (~node5(s60)))),
% 4.32/3.16 inference(rewrite,[status(thm)],[])).
% 4.32/3.16 tff(5248,plain,
% 4.32/3.16 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s60, c_1) | (~node5(s60)))),
% 4.32/3.17 inference(quant_inst,[status(thm)],[])).
% 4.32/3.17 tff(5249,plain,
% 4.32/3.17 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s60, c_1) | (~node5(s60))),
% 4.32/3.17 inference(modus_ponens,[status(thm)],[5248, 5247])).
% 4.32/3.17 tff(5250,plain,
% 4.32/3.17 (~node5(s60)),
% 4.32/3.17 inference(unit_resolution,[status(thm)],[5249, 776, 5246])).
% 4.32/3.17 tff(5251,plain,
% 4.32/3.17 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s60, c_n1) | (~node2(s60)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s60, c_n1) | (~node2(s60)))),
% 4.32/3.17 inference(rewrite,[status(thm)],[])).
% 4.32/3.17 tff(5252,plain,
% 4.32/3.17 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s60, c_n1) | (~node2(s60)))),
% 4.32/3.17 inference(quant_inst,[status(thm)],[])).
% 4.32/3.17 tff(5253,plain,
% 4.32/3.17 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s60, c_n1) | (~node2(s60))),
% 4.32/3.17 inference(modus_ponens,[status(thm)],[5252, 5251])).
% 4.32/3.17 tff(5254,plain,
% 4.32/3.17 (~node2(s60)),
% 4.32/3.17 inference(unit_resolution,[status(thm)],[5253, 787, 5178])).
% 4.32/3.17 tff(5255,plain,
% 4.32/3.17 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s60, c_n1) | (~node3(s60)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s60, c_n1) | (~node3(s60)))),
% 4.32/3.17 inference(rewrite,[status(thm)],[])).
% 4.32/3.17 tff(5256,plain,
% 4.32/3.17 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s60, c_n1) | (~node3(s60)))),
% 4.32/3.17 inference(quant_inst,[status(thm)],[])).
% 4.32/3.17 tff(5257,plain,
% 4.32/3.17 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s60, c_n1) | (~node3(s60))),
% 4.32/3.17 inference(modus_ponens,[status(thm)],[5256, 5255])).
% 4.32/3.17 tff(5258,plain,
% 4.32/3.17 (~node3(s60)),
% 4.32/3.17 inference(unit_resolution,[status(thm)],[5257, 798, 5178])).
% 4.32/3.17 tff(5259,plain,
% 4.32/3.17 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s60, c_n2) | (~node4(s60)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s60, c_n2) | (~node4(s60)))),
% 4.32/3.17 inference(rewrite,[status(thm)],[])).
% 4.32/3.17 tff(5260,plain,
% 4.32/3.17 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s60, c_n2) | (~node4(s60)))),
% 4.32/3.17 inference(quant_inst,[status(thm)],[])).
% 4.32/3.17 tff(5261,plain,
% 4.32/3.17 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s60, c_n2) | (~node4(s60))),
% 4.32/3.17 inference(modus_ponens,[status(thm)],[5260, 5259])).
% 4.32/3.17 tff(5262,plain,
% 4.32/3.17 (~node4(s60)),
% 4.32/3.17 inference(unit_resolution,[status(thm)],[5261, 388, 5198])).
% 4.32/3.17 tff(5263,plain,
% 4.32/3.17 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s60, s61)) | node7(s60, s61))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s60, s61)) | node7(s60, s61))),
% 4.32/3.17 inference(rewrite,[status(thm)],[])).
% 4.32/3.17 tff(5264,plain,
% 4.32/3.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s60, s61)) | node7(s60, s61))),
% 4.32/3.17 inference(quant_inst,[status(thm)],[])).
% 4.32/3.17 tff(5265,plain,
% 4.32/3.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s60, s61)) | node7(s60, s61)),
% 4.32/3.17 inference(modus_ponens,[status(thm)],[5264, 5263])).
% 4.32/3.17 tff(5266,plain,
% 4.32/3.17 (node7(s60, s61)),
% 4.32/3.17 inference(unit_resolution,[status(thm)],[5265, 206, 5209])).
% 4.32/3.17 tff(5267,plain,
% 4.32/3.17 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s60, c_c1) | node1(s60) | node2(s60) | node3(s60) | node4(s60) | node5(s60) | node6(s60, s61) | (~node7(s60, s61)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s60, c_c1) | node1(s60) | node2(s60) | node3(s60) | node4(s60) | node5(s60) | node6(s60, s61) | (~node7(s60, s61)))),
% 4.32/3.17 inference(rewrite,[status(thm)],[])).
% 4.32/3.17 tff(5268,plain,
% 4.32/3.17 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s60, c_c1) | node1(s60) | node2(s60) | node3(s60) | node4(s60) | node5(s60) | node6(s60, s61) | (~node7(s60, s61)))),
% 4.32/3.17 inference(quant_inst,[status(thm)],[])).
% 4.32/3.17 tff(5269,plain,
% 4.32/3.17 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s60, c_c1) | node1(s60) | node2(s60) | node3(s60) | node4(s60) | node5(s60) | node6(s60, s61) | (~node7(s60, s61))),
% 4.32/3.17 inference(modus_ponens,[status(thm)],[5268, 5267])).
% 4.32/3.17 tff(5270,plain,
% 4.32/3.17 (m_main_v_state1(s60, c_c1) | node1(s60) | node2(s60) | node3(s60) | node4(s60) | node5(s60) | node6(s60, s61)),
% 4.32/3.17 inference(unit_resolution,[status(thm)],[5269, 820, 5266])).
% 4.32/3.17 tff(5271,plain,
% 4.32/3.17 (node6(s60, s61)),
% 4.32/3.17 inference(unit_resolution,[status(thm)],[5270, 5262, 5186, 5258, 5254, 5250, 5233])).
% 4.32/3.17 tff(5272,plain,
% 4.32/3.17 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s60, c_n1) | (~m_main_v_state1(s61, c_n1)) | (~node6(s60, s61)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s60, c_n1) | (~m_main_v_state1(s61, c_n1)) | (~node6(s60, s61)))),
% 4.32/3.17 inference(rewrite,[status(thm)],[])).
% 4.32/3.17 tff(5273,plain,
% 4.32/3.17 (((~node6(s60, s61)) | m_main_v_state1(s60, c_n1) | (~m_main_v_state1(s61, c_n1))) <=> (m_main_v_state1(s60, c_n1) | (~m_main_v_state1(s61, c_n1)) | (~node6(s60, s61)))),
% 4.32/3.17 inference(rewrite,[status(thm)],[])).
% 4.32/3.17 tff(5274,plain,
% 4.32/3.17 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s60, s61)) | m_main_v_state1(s60, c_n1) | (~m_main_v_state1(s61, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s60, c_n1) | (~m_main_v_state1(s61, c_n1)) | (~node6(s60, s61))))),
% 4.32/3.17 inference(monotonicity,[status(thm)],[5273])).
% 4.32/3.17 tff(5275,plain,
% 4.32/3.17 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s60, s61)) | m_main_v_state1(s60, c_n1) | (~m_main_v_state1(s61, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s60, c_n1) | (~m_main_v_state1(s61, c_n1)) | (~node6(s60, s61)))),
% 4.32/3.17 inference(transitivity,[status(thm)],[5274, 5272])).
% 4.32/3.17 tff(5276,plain,
% 4.32/3.17 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s60, s61)) | m_main_v_state1(s60, c_n1) | (~m_main_v_state1(s61, c_n1)))),
% 4.32/3.17 inference(quant_inst,[status(thm)],[])).
% 4.32/3.17 tff(5277,plain,
% 4.32/3.17 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s60, c_n1) | (~m_main_v_state1(s61, c_n1)) | (~node6(s60, s61))),
% 4.32/3.17 inference(modus_ponens,[status(thm)],[5276, 5275])).
% 4.32/3.17 tff(5278,plain,
% 4.32/3.17 (~m_main_v_state1(s61, c_n1)),
% 4.32/3.17 inference(unit_resolution,[status(thm)],[5277, 835, 5178, 5271])).
% 4.32/3.17 tff(5279,plain,
% 4.32/3.17 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s61, c_n1) | (~node2(s61)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s61, c_n1) | (~node2(s61)))),
% 4.32/3.17 inference(rewrite,[status(thm)],[])).
% 4.32/3.17 tff(5280,plain,
% 4.32/3.17 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s61, c_n1) | (~node2(s61)))),
% 4.32/3.17 inference(quant_inst,[status(thm)],[])).
% 4.32/3.17 tff(5281,plain,
% 4.32/3.17 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s61, c_n1) | (~node2(s61))),
% 4.32/3.17 inference(modus_ponens,[status(thm)],[5280, 5279])).
% 4.32/3.17 tff(5282,plain,
% 4.32/3.17 (~node2(s61)),
% 4.32/3.17 inference(unit_resolution,[status(thm)],[5281, 787, 5278])).
% 4.32/3.17 tff(5283,plain,
% 4.32/3.17 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s60, c_t1)) | m_main_v_state1(s61, c_t1) | (~node6(s60, s61)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s60, c_t1)) | m_main_v_state1(s61, c_t1) | (~node6(s60, s61)))),
% 4.32/3.17 inference(rewrite,[status(thm)],[])).
% 4.32/3.17 tff(5284,plain,
% 4.32/3.17 (((~node6(s60, s61)) | (~m_main_v_state1(s60, c_t1)) | m_main_v_state1(s61, c_t1)) <=> ((~m_main_v_state1(s60, c_t1)) | m_main_v_state1(s61, c_t1) | (~node6(s60, s61)))),
% 4.32/3.17 inference(rewrite,[status(thm)],[])).
% 4.32/3.17 tff(5285,plain,
% 4.32/3.17 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s60, s61)) | (~m_main_v_state1(s60, c_t1)) | m_main_v_state1(s61, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s60, c_t1)) | m_main_v_state1(s61, c_t1) | (~node6(s60, s61))))),
% 4.32/3.17 inference(monotonicity,[status(thm)],[5284])).
% 4.32/3.17 tff(5286,plain,
% 4.32/3.17 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s60, s61)) | (~m_main_v_state1(s60, c_t1)) | m_main_v_state1(s61, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s60, c_t1)) | m_main_v_state1(s61, c_t1) | (~node6(s60, s61)))),
% 4.32/3.17 inference(transitivity,[status(thm)],[5285, 5283])).
% 4.32/3.17 tff(5287,plain,
% 4.32/3.17 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s60, s61)) | (~m_main_v_state1(s60, c_t1)) | m_main_v_state1(s61, c_t1))),
% 4.32/3.17 inference(quant_inst,[status(thm)],[])).
% 4.32/3.17 tff(5288,plain,
% 4.32/3.17 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s60, c_t1)) | m_main_v_state1(s61, c_t1) | (~node6(s60, s61))),
% 4.32/3.17 inference(modus_ponens,[status(thm)],[5287, 5286])).
% 4.32/3.17 tff(5289,plain,
% 4.32/3.17 (m_main_v_state1(s61, c_t1)),
% 4.32/3.17 inference(unit_resolution,[status(thm)],[5288, 856, 5174, 5271])).
% 4.32/3.17 tff(5290,plain,
% 4.32/3.17 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s61, c_n2)) | (~m_main_v_state2(s61, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s61, c_n2)) | (~m_main_v_state2(s61, c_t2)))),
% 4.32/3.17 inference(rewrite,[status(thm)],[])).
% 4.32/3.17 tff(5291,plain,
% 4.32/3.17 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s61, c_n2)) | (~m_main_v_state2(s61, c_t2)))),
% 4.32/3.17 inference(quant_inst,[status(thm)],[])).
% 4.32/3.17 tff(5292,plain,
% 4.32/3.17 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s61, c_n2)) | (~m_main_v_state2(s61, c_t2))),
% 4.32/3.17 inference(modus_ponens,[status(thm)],[5291, 5290])).
% 4.32/3.17 tff(5293,plain,
% 4.32/3.17 (~m_main_v_state2(s61, c_t2)),
% 4.32/3.17 inference(unit_resolution,[status(thm)],[5292, 77, 5221])).
% 4.32/3.17 tff(5294,plain,
% 4.32/3.17 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s61, c_t2) | (~node1(s61)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s61, c_t2) | (~node1(s61)))),
% 4.32/3.17 inference(rewrite,[status(thm)],[])).
% 4.32/3.17 tff(5295,plain,
% 4.32/3.17 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s61, c_t2) | (~node1(s61)))),
% 4.32/3.17 inference(quant_inst,[status(thm)],[])).
% 4.32/3.17 tff(5296,plain,
% 4.32/3.17 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s61, c_t2) | (~node1(s61))),
% 4.32/3.17 inference(modus_ponens,[status(thm)],[5295, 5294])).
% 4.32/3.17 tff(5297,plain,
% 4.32/3.17 (~node1(s61)),
% 4.32/3.17 inference(unit_resolution,[status(thm)],[5296, 195, 5293])).
% 4.32/3.17 tff(5298,plain,
% 4.32/3.17 (succ(s61, s62) <=> succ(s61, s62)),
% 4.32/3.17 inference(rewrite,[status(thm)],[])).
% 4.32/3.17 tff(5299,axiom,(succ(s61, s62)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound62')).
% 4.32/3.17 tff(5300,plain,
% 4.32/3.17 (succ(s61, s62)),
% 4.32/3.17 inference(modus_ponens,[status(thm)],[5299, 5298])).
% 4.32/3.17 tff(5301,plain,
% 4.32/3.17 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s61, s62)) | trans(s61, s62))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s61, s62)) | trans(s61, s62))),
% 4.32/3.17 inference(rewrite,[status(thm)],[])).
% 4.32/3.17 tff(5302,plain,
% 4.32/3.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s61, s62)) | trans(s61, s62))),
% 4.32/3.17 inference(quant_inst,[status(thm)],[])).
% 4.32/3.17 tff(5303,plain,
% 4.32/3.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s61, s62)) | trans(s61, s62)),
% 4.32/3.17 inference(modus_ponens,[status(thm)],[5302, 5301])).
% 4.32/3.17 tff(5304,plain,
% 4.32/3.17 (trans(s61, s62)),
% 4.32/3.17 inference(unit_resolution,[status(thm)],[5303, 5300, 32])).
% 4.32/3.17 tff(5305,plain,
% 4.32/3.17 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s61, s62)) | node7(s61, s62))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s61, s62)) | node7(s61, s62))),
% 4.32/3.17 inference(rewrite,[status(thm)],[])).
% 4.32/3.17 tff(5306,plain,
% 4.32/3.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s61, s62)) | node7(s61, s62))),
% 4.32/3.17 inference(quant_inst,[status(thm)],[])).
% 4.32/3.17 tff(5307,plain,
% 4.32/3.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s61, s62)) | node7(s61, s62)),
% 4.32/3.17 inference(modus_ponens,[status(thm)],[5306, 5305])).
% 4.32/3.17 tff(5308,plain,
% 4.32/3.17 (node7(s61, s62)),
% 4.32/3.17 inference(unit_resolution,[status(thm)],[5307, 206, 5304])).
% 4.32/3.17 tff(5309,plain,
% 4.32/3.17 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s61, c_t1)) | (~m_main_v_state2(s61, c_n2)) | m_main_v_state1(s62, c_c1) | node1(s61) | node2(s61) | node3(s61) | (~node7(s61, s62)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s61, c_t1)) | (~m_main_v_state2(s61, c_n2)) | m_main_v_state1(s62, c_c1) | node1(s61) | node2(s61) | node3(s61) | (~node7(s61, s62)))),
% 4.32/3.17 inference(rewrite,[status(thm)],[])).
% 4.32/3.17 tff(5310,plain,
% 4.32/3.17 (((~m_main_v_state1(s61, c_t1)) | (~m_main_v_state2(s61, c_n2)) | node1(s61) | node2(s61) | node3(s61) | (~node7(s61, s62)) | m_main_v_state1(s62, c_c1)) <=> ((~m_main_v_state1(s61, c_t1)) | (~m_main_v_state2(s61, c_n2)) | m_main_v_state1(s62, c_c1) | node1(s61) | node2(s61) | node3(s61) | (~node7(s61, s62)))),
% 4.32/3.17 inference(rewrite,[status(thm)],[])).
% 4.32/3.17 tff(5311,plain,
% 4.32/3.17 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s61, c_t1)) | (~m_main_v_state2(s61, c_n2)) | node1(s61) | node2(s61) | node3(s61) | (~node7(s61, s62)) | m_main_v_state1(s62, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s61, c_t1)) | (~m_main_v_state2(s61, c_n2)) | m_main_v_state1(s62, c_c1) | node1(s61) | node2(s61) | node3(s61) | (~node7(s61, s62))))),
% 4.32/3.17 inference(monotonicity,[status(thm)],[5310])).
% 4.32/3.17 tff(5312,plain,
% 4.32/3.17 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s61, c_t1)) | (~m_main_v_state2(s61, c_n2)) | node1(s61) | node2(s61) | node3(s61) | (~node7(s61, s62)) | m_main_v_state1(s62, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s61, c_t1)) | (~m_main_v_state2(s61, c_n2)) | m_main_v_state1(s62, c_c1) | node1(s61) | node2(s61) | node3(s61) | (~node7(s61, s62)))),
% 4.32/3.17 inference(transitivity,[status(thm)],[5311, 5309])).
% 4.32/3.17 tff(5313,plain,
% 4.32/3.17 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s61, c_t1)) | (~m_main_v_state2(s61, c_n2)) | node1(s61) | node2(s61) | node3(s61) | (~node7(s61, s62)) | m_main_v_state1(s62, c_c1))),
% 4.32/3.17 inference(quant_inst,[status(thm)],[])).
% 4.32/3.17 tff(5314,plain,
% 4.32/3.17 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s61, c_t1)) | (~m_main_v_state2(s61, c_n2)) | m_main_v_state1(s62, c_c1) | node1(s61) | node2(s61) | node3(s61) | (~node7(s61, s62))),
% 4.32/3.17 inference(modus_ponens,[status(thm)],[5313, 5312])).
% 4.32/3.17 tff(5315,plain,
% 4.32/3.17 ((~m_main_v_state1(s61, c_t1)) | (~m_main_v_state2(s61, c_n2)) | m_main_v_state1(s62, c_c1) | node1(s61) | node2(s61) | node3(s61)),
% 4.32/3.17 inference(unit_resolution,[status(thm)],[5314, 892, 5308])).
% 4.32/3.17 tff(5316,plain,
% 4.32/3.17 (m_main_v_state1(s62, c_c1)),
% 4.32/3.17 inference(unit_resolution,[status(thm)],[5315, 5297, 5221, 5289, 5282, 5229])).
% 4.32/3.17 tff(5317,plain,
% 4.32/3.17 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s62, c_t1)) | (~m_main_v_state1(s62, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s62, c_t1)) | (~m_main_v_state1(s62, c_c1)))),
% 4.32/3.17 inference(rewrite,[status(thm)],[])).
% 4.32/3.17 tff(5318,plain,
% 4.32/3.17 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s62, c_t1)) | (~m_main_v_state1(s62, c_c1)))),
% 4.32/3.17 inference(quant_inst,[status(thm)],[])).
% 4.32/3.17 tff(5319,plain,
% 4.32/3.17 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s62, c_t1)) | (~m_main_v_state1(s62, c_c1))),
% 4.32/3.17 inference(modus_ponens,[status(thm)],[5318, 5317])).
% 4.32/3.17 tff(5320,plain,
% 4.32/3.17 (~m_main_v_state1(s62, c_t1)),
% 4.32/3.17 inference(unit_resolution,[status(thm)],[5319, 539, 5316])).
% 4.32/3.17 tff(5321,plain,
% 4.32/3.17 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s62, c_t1) | (~node5(s62)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s62, c_t1) | (~node5(s62)))),
% 4.32/3.17 inference(rewrite,[status(thm)],[])).
% 4.32/3.17 tff(5322,plain,
% 4.32/3.17 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s62, c_t1) | (~node5(s62)))),
% 4.32/3.17 inference(quant_inst,[status(thm)],[])).
% 4.32/3.17 tff(5323,plain,
% 4.32/3.17 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s62, c_t1) | (~node5(s62))),
% 4.32/3.17 inference(modus_ponens,[status(thm)],[5322, 5321])).
% 4.32/3.17 tff(5324,plain,
% 4.32/3.17 (~node5(s62)),
% 4.32/3.17 inference(unit_resolution,[status(thm)],[5323, 550, 5320])).
% 4.32/3.17 tff(5325,plain,
% 4.32/3.17 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s61, s62)) | node14(s61, s62))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s61, s62)) | node14(s61, s62))),
% 4.32/3.17 inference(rewrite,[status(thm)],[])).
% 4.32/3.17 tff(5326,plain,
% 4.32/3.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s61, s62)) | node14(s61, s62))),
% 4.32/3.17 inference(quant_inst,[status(thm)],[])).
% 4.32/3.17 tff(5327,plain,
% 4.32/3.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s61, s62)) | node14(s61, s62)),
% 4.32/3.17 inference(modus_ponens,[status(thm)],[5326, 5325])).
% 4.32/3.17 tff(5328,plain,
% 4.32/3.17 (node14(s61, s62)),
% 4.32/3.17 inference(unit_resolution,[status(thm)],[5327, 46, 5304])).
% 4.32/3.17 tff(5329,plain,
% 4.32/3.17 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s61, c_t1)) | (~m_main_v_state2(s61, c_n2)) | (~node14(s61, s62)) | m_main_v_state2(s62, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s61, c_t1)) | (~m_main_v_state2(s61, c_n2)) | (~node14(s61, s62)) | m_main_v_state2(s62, c_t2))),
% 4.32/3.17 inference(rewrite,[status(thm)],[])).
% 4.32/3.17 tff(5330,plain,
% 4.32/3.17 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s61, c_t1)) | (~m_main_v_state2(s61, c_n2)) | (~node14(s61, s62)) | m_main_v_state2(s62, c_t2))),
% 4.32/3.17 inference(quant_inst,[status(thm)],[])).
% 4.32/3.17 tff(5331,plain,
% 4.32/3.17 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s61, c_t1)) | (~m_main_v_state2(s61, c_n2)) | (~node14(s61, s62)) | m_main_v_state2(s62, c_t2)),
% 4.32/3.17 inference(modus_ponens,[status(thm)],[5330, 5329])).
% 4.32/3.17 tff(5332,plain,
% 4.32/3.17 ((~m_main_v_state1(s61, c_t1)) | (~m_main_v_state2(s61, c_n2)) | m_main_v_state2(s62, c_t2)),
% 4.32/3.17 inference(unit_resolution,[status(thm)],[5331, 922, 5328])).
% 4.32/3.17 tff(5333,plain,
% 4.32/3.17 (m_main_v_state2(s62, c_t2)),
% 4.32/3.17 inference(unit_resolution,[status(thm)],[5332, 5289, 5221])).
% 4.32/3.17 tff(5334,plain,
% 4.32/3.17 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s62, c_n2)) | (~m_main_v_state2(s62, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s62, c_n2)) | (~m_main_v_state2(s62, c_t2)))),
% 4.32/3.17 inference(rewrite,[status(thm)],[])).
% 4.32/3.17 tff(5335,plain,
% 4.32/3.17 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s62, c_n2)) | (~m_main_v_state2(s62, c_t2)))),
% 4.32/3.17 inference(quant_inst,[status(thm)],[])).
% 4.32/3.17 tff(5336,plain,
% 4.32/3.17 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s62, c_n2)) | (~m_main_v_state2(s62, c_t2))),
% 4.32/3.17 inference(modus_ponens,[status(thm)],[5335, 5334])).
% 4.32/3.17 tff(5337,plain,
% 4.32/3.17 (~m_main_v_state2(s62, c_n2)),
% 4.32/3.17 inference(unit_resolution,[status(thm)],[5336, 77, 5333])).
% 4.32/3.17 tff(5338,plain,
% 4.32/3.17 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s62, c_n2) | (~node4(s62)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s62, c_n2) | (~node4(s62)))),
% 4.32/3.17 inference(rewrite,[status(thm)],[])).
% 4.32/3.17 tff(5339,plain,
% 4.32/3.17 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s62, c_n2) | (~node4(s62)))),
% 4.32/3.17 inference(quant_inst,[status(thm)],[])).
% 4.32/3.17 tff(5340,plain,
% 4.32/3.17 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s62, c_n2) | (~node4(s62))),
% 4.32/3.17 inference(modus_ponens,[status(thm)],[5339, 5338])).
% 4.32/3.17 tff(5341,plain,
% 4.32/3.17 (~node4(s62)),
% 4.32/3.17 inference(unit_resolution,[status(thm)],[5340, 388, 5337])).
% 4.32/3.17 tff(5342,plain,
% 4.32/3.17 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s62, c_t2)) | (~m_main_v_state2(s62, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s62, c_t2)) | (~m_main_v_state2(s62, c_c2)))),
% 4.32/3.17 inference(rewrite,[status(thm)],[])).
% 4.32/3.17 tff(5343,plain,
% 4.32/3.17 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s62, c_t2)) | (~m_main_v_state2(s62, c_c2)))),
% 4.32/3.17 inference(quant_inst,[status(thm)],[])).
% 4.32/3.17 tff(5344,plain,
% 4.32/3.17 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s62, c_t2)) | (~m_main_v_state2(s62, c_c2))),
% 4.32/3.17 inference(modus_ponens,[status(thm)],[5343, 5342])).
% 4.32/3.17 tff(5345,plain,
% 4.32/3.17 (~m_main_v_state2(s62, c_c2)),
% 4.32/3.17 inference(unit_resolution,[status(thm)],[5344, 260, 5333])).
% 4.32/3.17 tff(5346,plain,
% 4.32/3.17 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s62, c_c2) | (~node3(s62)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s62, c_c2) | (~node3(s62)))),
% 4.32/3.17 inference(rewrite,[status(thm)],[])).
% 4.32/3.17 tff(5347,plain,
% 4.32/3.17 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s62, c_c2) | (~node3(s62)))),
% 4.32/3.17 inference(quant_inst,[status(thm)],[])).
% 4.32/3.17 tff(5348,plain,
% 4.32/3.17 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s62, c_c2) | (~node3(s62))),
% 4.32/3.17 inference(modus_ponens,[status(thm)],[5347, 5346])).
% 4.32/3.17 tff(5349,plain,
% 4.32/3.17 (~node3(s62)),
% 4.32/3.17 inference(unit_resolution,[status(thm)],[5348, 399, 5345])).
% 4.32/3.17 tff(5350,plain,
% 4.32/3.17 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s62, c_n2) | (~node2(s62)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s62, c_n2) | (~node2(s62)))),
% 4.32/3.17 inference(rewrite,[status(thm)],[])).
% 4.32/3.17 tff(5351,plain,
% 4.32/3.17 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s62, c_n2) | (~node2(s62)))),
% 4.32/3.17 inference(quant_inst,[status(thm)],[])).
% 4.32/3.17 tff(5352,plain,
% 4.32/3.17 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s62, c_n2) | (~node2(s62))),
% 4.32/3.17 inference(modus_ponens,[status(thm)],[5351, 5350])).
% 4.32/3.17 tff(5353,plain,
% 4.32/3.17 (~node2(s62)),
% 4.32/3.17 inference(unit_resolution,[status(thm)],[5352, 410, 5337])).
% 4.32/3.17 tff(5354,plain,
% 4.32/3.17 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s62, c_n1)) | (~m_main_v_state1(s62, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s62, c_n1)) | (~m_main_v_state1(s62, c_c1)))),
% 4.32/3.17 inference(rewrite,[status(thm)],[])).
% 4.32/3.17 tff(5355,plain,
% 4.32/3.17 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s62, c_n1)) | (~m_main_v_state1(s62, c_c1)))),
% 4.32/3.17 inference(quant_inst,[status(thm)],[])).
% 4.32/3.17 tff(5356,plain,
% 4.32/3.17 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s62, c_n1)) | (~m_main_v_state1(s62, c_c1))),
% 4.32/3.17 inference(modus_ponens,[status(thm)],[5355, 5354])).
% 4.32/3.17 tff(5357,plain,
% 4.32/3.17 (~m_main_v_state1(s62, c_n1)),
% 4.32/3.17 inference(unit_resolution,[status(thm)],[5356, 454, 5316])).
% 4.32/3.17 tff(5358,plain,
% 4.32/3.17 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s62, c_n1) | (~node1(s62)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s62, c_n1) | (~node1(s62)))),
% 4.32/3.17 inference(rewrite,[status(thm)],[])).
% 4.32/3.17 tff(5359,plain,
% 4.32/3.17 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s62, c_n1) | (~node1(s62)))),
% 4.32/3.17 inference(quant_inst,[status(thm)],[])).
% 4.32/3.17 tff(5360,plain,
% 4.32/3.17 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s62, c_n1) | (~node1(s62))),
% 4.32/3.17 inference(modus_ponens,[status(thm)],[5359, 5358])).
% 4.32/3.17 tff(5361,plain,
% 4.32/3.17 (~node1(s62)),
% 4.32/3.17 inference(unit_resolution,[status(thm)],[5360, 421, 5357])).
% 4.32/3.17 tff(5362,plain,
% 4.32/3.17 (succ(s62, s63) <=> succ(s62, s63)),
% 4.32/3.17 inference(rewrite,[status(thm)],[])).
% 4.32/3.17 tff(5363,axiom,(succ(s62, s63)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound63')).
% 4.32/3.17 tff(5364,plain,
% 4.32/3.17 (succ(s62, s63)),
% 4.32/3.17 inference(modus_ponens,[status(thm)],[5363, 5362])).
% 4.32/3.17 tff(5365,plain,
% 4.32/3.17 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s62, s63)) | trans(s62, s63))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s62, s63)) | trans(s62, s63))),
% 4.32/3.17 inference(rewrite,[status(thm)],[])).
% 4.32/3.17 tff(5366,plain,
% 4.32/3.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s62, s63)) | trans(s62, s63))),
% 4.32/3.17 inference(quant_inst,[status(thm)],[])).
% 4.32/3.17 tff(5367,plain,
% 4.32/3.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s62, s63)) | trans(s62, s63)),
% 4.32/3.17 inference(modus_ponens,[status(thm)],[5366, 5365])).
% 4.32/3.17 tff(5368,plain,
% 4.32/3.17 (trans(s62, s63)),
% 4.32/3.17 inference(unit_resolution,[status(thm)],[5367, 5364, 32])).
% 4.32/3.17 tff(5369,plain,
% 4.32/3.17 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s62, s63)) | node7(s62, s63))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s62, s63)) | node7(s62, s63))),
% 4.32/3.17 inference(rewrite,[status(thm)],[])).
% 4.32/3.17 tff(5370,plain,
% 4.32/3.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s62, s63)) | node7(s62, s63))),
% 4.32/3.17 inference(quant_inst,[status(thm)],[])).
% 4.32/3.18 tff(5371,plain,
% 4.32/3.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s62, s63)) | node7(s62, s63)),
% 4.32/3.18 inference(modus_ponens,[status(thm)],[5370, 5369])).
% 4.32/3.18 tff(5372,plain,
% 4.32/3.18 (node7(s62, s63)),
% 4.32/3.18 inference(unit_resolution,[status(thm)],[5371, 206, 5368])).
% 4.32/3.18 tff(5373,plain,
% 4.32/3.18 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s63, c_n1) | (~m_main_v_state1(s62, c_c1)) | node1(s62) | node2(s62) | node3(s62) | node4(s62) | node5(s62) | (~node7(s62, s63)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s63, c_n1) | (~m_main_v_state1(s62, c_c1)) | node1(s62) | node2(s62) | node3(s62) | node4(s62) | node5(s62) | (~node7(s62, s63)))),
% 4.32/3.18 inference(rewrite,[status(thm)],[])).
% 4.32/3.18 tff(5374,plain,
% 4.32/3.18 (((~m_main_v_state1(s62, c_c1)) | node1(s62) | node2(s62) | node3(s62) | node4(s62) | node5(s62) | (~node7(s62, s63)) | m_main_v_state1(s63, c_n1)) <=> (m_main_v_state1(s63, c_n1) | (~m_main_v_state1(s62, c_c1)) | node1(s62) | node2(s62) | node3(s62) | node4(s62) | node5(s62) | (~node7(s62, s63)))),
% 4.32/3.18 inference(rewrite,[status(thm)],[])).
% 4.32/3.18 tff(5375,plain,
% 4.32/3.18 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s62, c_c1)) | node1(s62) | node2(s62) | node3(s62) | node4(s62) | node5(s62) | (~node7(s62, s63)) | m_main_v_state1(s63, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s63, c_n1) | (~m_main_v_state1(s62, c_c1)) | node1(s62) | node2(s62) | node3(s62) | node4(s62) | node5(s62) | (~node7(s62, s63))))),
% 4.32/3.18 inference(monotonicity,[status(thm)],[5374])).
% 4.32/3.18 tff(5376,plain,
% 4.32/3.18 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s62, c_c1)) | node1(s62) | node2(s62) | node3(s62) | node4(s62) | node5(s62) | (~node7(s62, s63)) | m_main_v_state1(s63, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s63, c_n1) | (~m_main_v_state1(s62, c_c1)) | node1(s62) | node2(s62) | node3(s62) | node4(s62) | node5(s62) | (~node7(s62, s63)))),
% 4.32/3.18 inference(transitivity,[status(thm)],[5375, 5373])).
% 4.32/3.18 tff(5377,plain,
% 4.32/3.18 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s62, c_c1)) | node1(s62) | node2(s62) | node3(s62) | node4(s62) | node5(s62) | (~node7(s62, s63)) | m_main_v_state1(s63, c_n1))),
% 4.32/3.18 inference(quant_inst,[status(thm)],[])).
% 4.32/3.18 tff(5378,plain,
% 4.32/3.18 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s63, c_n1) | (~m_main_v_state1(s62, c_c1)) | node1(s62) | node2(s62) | node3(s62) | node4(s62) | node5(s62) | (~node7(s62, s63))),
% 4.32/3.18 inference(modus_ponens,[status(thm)],[5377, 5376])).
% 4.32/3.18 tff(5379,plain,
% 4.32/3.18 (m_main_v_state1(s63, c_n1) | (~m_main_v_state1(s62, c_c1)) | node1(s62) | node2(s62) | node3(s62) | node4(s62) | node5(s62)),
% 4.32/3.18 inference(unit_resolution,[status(thm)],[5378, 584, 5372])).
% 4.32/3.18 tff(5380,plain,
% 4.32/3.18 (m_main_v_state1(s63, c_n1)),
% 4.32/3.18 inference(unit_resolution,[status(thm)],[5379, 5361, 5316, 5353, 5349, 5341, 5324])).
% 4.32/3.18 tff(5381,plain,
% 4.32/3.18 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s61, c_t2) | (~node15(s61)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s61, c_t2) | (~node15(s61)))),
% 4.32/3.18 inference(rewrite,[status(thm)],[])).
% 4.32/3.18 tff(5382,plain,
% 4.32/3.18 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s61, c_t2) | (~node15(s61)))),
% 4.32/3.18 inference(quant_inst,[status(thm)],[])).
% 4.32/3.18 tff(5383,plain,
% 4.32/3.18 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s61, c_t2) | (~node15(s61))),
% 4.32/3.18 inference(modus_ponens,[status(thm)],[5382, 5381])).
% 4.32/3.18 tff(5384,plain,
% 4.32/3.18 (~node15(s61)),
% 4.32/3.18 inference(unit_resolution,[status(thm)],[5383, 103, 5293])).
% 4.32/3.18 tff(5385,plain,
% 4.32/3.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s61, s62)) | node18(s61, s62))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s61, s62)) | node18(s61, s62))),
% 4.32/3.18 inference(rewrite,[status(thm)],[])).
% 4.32/3.18 tff(5386,plain,
% 4.32/3.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s61, s62)) | node18(s61, s62))),
% 4.32/3.18 inference(quant_inst,[status(thm)],[])).
% 4.32/3.18 tff(5387,plain,
% 4.32/3.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s61, s62)) | node18(s61, s62)),
% 4.32/3.18 inference(modus_ponens,[status(thm)],[5386, 5385])).
% 4.32/3.18 tff(5388,plain,
% 4.32/3.18 (node18(s61, s62)),
% 4.32/3.18 inference(unit_resolution,[status(thm)],[5387, 125, 5304])).
% 4.32/3.18 tff(5389,plain,
% 4.32/3.18 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s61) | (~node18(s61, s62)) | (~m_main_v_state1(s61, c_t1)) | (~m_main_v_state2(s61, c_n2)) | m_main_v_turn(s62, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s61) | (~node18(s61, s62)) | (~m_main_v_state1(s61, c_t1)) | (~m_main_v_state2(s61, c_n2)) | m_main_v_turn(s62, c_1))),
% 4.32/3.18 inference(rewrite,[status(thm)],[])).
% 4.32/3.18 tff(5390,plain,
% 4.32/3.18 (((~m_main_v_state1(s61, c_t1)) | (~m_main_v_state2(s61, c_n2)) | node15(s61) | (~node18(s61, s62)) | m_main_v_turn(s62, c_1)) <=> (node15(s61) | (~node18(s61, s62)) | (~m_main_v_state1(s61, c_t1)) | (~m_main_v_state2(s61, c_n2)) | m_main_v_turn(s62, c_1))),
% 4.32/3.18 inference(rewrite,[status(thm)],[])).
% 4.32/3.18 tff(5391,plain,
% 4.32/3.18 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s61, c_t1)) | (~m_main_v_state2(s61, c_n2)) | node15(s61) | (~node18(s61, s62)) | m_main_v_turn(s62, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s61) | (~node18(s61, s62)) | (~m_main_v_state1(s61, c_t1)) | (~m_main_v_state2(s61, c_n2)) | m_main_v_turn(s62, c_1)))),
% 4.32/3.18 inference(monotonicity,[status(thm)],[5390])).
% 4.32/3.18 tff(5392,plain,
% 4.32/3.18 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s61, c_t1)) | (~m_main_v_state2(s61, c_n2)) | node15(s61) | (~node18(s61, s62)) | m_main_v_turn(s62, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s61) | (~node18(s61, s62)) | (~m_main_v_state1(s61, c_t1)) | (~m_main_v_state2(s61, c_n2)) | m_main_v_turn(s62, c_1))),
% 4.32/3.18 inference(transitivity,[status(thm)],[5391, 5389])).
% 4.32/3.18 tff(5393,plain,
% 4.32/3.18 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s61, c_t1)) | (~m_main_v_state2(s61, c_n2)) | node15(s61) | (~node18(s61, s62)) | m_main_v_turn(s62, c_1))),
% 4.32/3.18 inference(quant_inst,[status(thm)],[])).
% 4.32/3.18 tff(5394,plain,
% 4.32/3.18 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s61) | (~node18(s61, s62)) | (~m_main_v_state1(s61, c_t1)) | (~m_main_v_state2(s61, c_n2)) | m_main_v_turn(s62, c_1)),
% 4.32/3.18 inference(modus_ponens,[status(thm)],[5393, 5392])).
% 4.32/3.18 tff(5395,plain,
% 4.32/3.18 (node15(s61) | (~m_main_v_state1(s61, c_t1)) | (~m_main_v_state2(s61, c_n2)) | m_main_v_turn(s62, c_1)),
% 4.32/3.18 inference(unit_resolution,[status(thm)],[5394, 992, 5388])).
% 4.32/3.18 tff(5396,plain,
% 4.32/3.18 (m_main_v_turn(s62, c_1)),
% 4.32/3.18 inference(unit_resolution,[status(thm)],[5395, 5384, 5221, 5289])).
% 4.32/3.18 tff(5397,plain,
% 4.32/3.18 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s62, c_1)) | (~m_main_v_turn(s62, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s62, c_1)) | (~m_main_v_turn(s62, c_2)))),
% 4.32/3.18 inference(rewrite,[status(thm)],[])).
% 4.32/3.18 tff(5398,plain,
% 4.32/3.18 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s62, c_1)) | (~m_main_v_turn(s62, c_2)))),
% 4.32/3.18 inference(quant_inst,[status(thm)],[])).
% 4.32/3.18 tff(5399,plain,
% 4.32/3.18 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s62, c_1)) | (~m_main_v_turn(s62, c_2))),
% 4.32/3.18 inference(modus_ponens,[status(thm)],[5398, 5397])).
% 4.32/3.18 tff(5400,plain,
% 4.32/3.18 (~m_main_v_turn(s62, c_2)),
% 4.32/3.18 inference(unit_resolution,[status(thm)],[5399, 156, 5396])).
% 4.32/3.18 tff(5401,plain,
% 4.32/3.18 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s62, c_2) | (~node12(s62)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s62, c_2) | (~node12(s62)))),
% 4.32/3.18 inference(rewrite,[status(thm)],[])).
% 4.32/3.18 tff(5402,plain,
% 4.32/3.18 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s62, c_2) | (~node12(s62)))),
% 4.32/3.18 inference(quant_inst,[status(thm)],[])).
% 4.32/3.18 tff(5403,plain,
% 4.32/3.18 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s62, c_2) | (~node12(s62))),
% 4.32/3.18 inference(modus_ponens,[status(thm)],[5402, 5401])).
% 4.32/3.18 tff(5404,plain,
% 4.32/3.18 (~node12(s62)),
% 4.32/3.18 inference(unit_resolution,[status(thm)],[5403, 184, 5400])).
% 4.32/3.18 tff(5405,plain,
% 4.32/3.18 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s62, c_n2) | (~node8(s62)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s62, c_n2) | (~node8(s62)))),
% 4.32/3.18 inference(rewrite,[status(thm)],[])).
% 4.32/3.18 tff(5406,plain,
% 4.32/3.18 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s62, c_n2) | (~node8(s62)))),
% 4.32/3.18 inference(quant_inst,[status(thm)],[])).
% 4.32/3.18 tff(5407,plain,
% 4.32/3.18 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s62, c_n2) | (~node8(s62))),
% 4.32/3.18 inference(modus_ponens,[status(thm)],[5406, 5405])).
% 4.32/3.18 tff(5408,plain,
% 4.32/3.18 (~node8(s62)),
% 4.32/3.18 inference(unit_resolution,[status(thm)],[5407, 271, 5337])).
% 4.32/3.18 tff(5409,plain,
% 4.32/3.18 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s62, c_n2) | (~node9(s62)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s62, c_n2) | (~node9(s62)))),
% 4.32/3.18 inference(rewrite,[status(thm)],[])).
% 4.32/3.18 tff(5410,plain,
% 4.32/3.18 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s62, c_n2) | (~node9(s62)))),
% 4.32/3.18 inference(quant_inst,[status(thm)],[])).
% 4.32/3.18 tff(5411,plain,
% 4.32/3.18 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s62, c_n2) | (~node9(s62))),
% 4.32/3.18 inference(modus_ponens,[status(thm)],[5410, 5409])).
% 4.32/3.18 tff(5412,plain,
% 4.32/3.18 (~node9(s62)),
% 4.32/3.18 inference(unit_resolution,[status(thm)],[5411, 88, 5337])).
% 4.32/3.18 tff(5413,plain,
% 4.32/3.18 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s62, c_n2) | (~node10(s62)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s62, c_n2) | (~node10(s62)))),
% 4.32/3.18 inference(rewrite,[status(thm)],[])).
% 4.32/3.18 tff(5414,plain,
% 4.32/3.18 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s62, c_n2) | (~node10(s62)))),
% 4.32/3.18 inference(quant_inst,[status(thm)],[])).
% 4.32/3.18 tff(5415,plain,
% 4.32/3.18 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s62, c_n2) | (~node10(s62))),
% 4.32/3.18 inference(modus_ponens,[status(thm)],[5414, 5413])).
% 4.32/3.18 tff(5416,plain,
% 4.32/3.18 (~node10(s62)),
% 4.32/3.18 inference(unit_resolution,[status(thm)],[5415, 249, 5337])).
% 4.32/3.18 tff(5417,plain,
% 4.32/3.18 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s62, c_n1) | (~node11(s62)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s62, c_n1) | (~node11(s62)))),
% 4.32/3.18 inference(rewrite,[status(thm)],[])).
% 4.32/3.18 tff(5418,plain,
% 4.32/3.18 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s62, c_n1) | (~node11(s62)))),
% 4.32/3.18 inference(quant_inst,[status(thm)],[])).
% 4.32/3.18 tff(5419,plain,
% 4.32/3.18 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s62, c_n1) | (~node11(s62))),
% 4.32/3.18 inference(modus_ponens,[status(thm)],[5418, 5417])).
% 4.32/3.18 tff(5420,plain,
% 4.32/3.18 (~node11(s62)),
% 4.32/3.18 inference(unit_resolution,[status(thm)],[5419, 238, 5357])).
% 4.32/3.18 tff(5421,plain,
% 4.32/3.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s62, s63)) | node14(s62, s63))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s62, s63)) | node14(s62, s63))),
% 4.32/3.18 inference(rewrite,[status(thm)],[])).
% 4.32/3.18 tff(5422,plain,
% 4.32/3.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s62, s63)) | node14(s62, s63))),
% 4.32/3.18 inference(quant_inst,[status(thm)],[])).
% 4.32/3.18 tff(5423,plain,
% 4.32/3.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s62, s63)) | node14(s62, s63)),
% 4.32/3.18 inference(modus_ponens,[status(thm)],[5422, 5421])).
% 4.32/3.18 tff(5424,plain,
% 4.32/3.18 (node14(s62, s63)),
% 4.32/3.18 inference(unit_resolution,[status(thm)],[5423, 46, 5368])).
% 4.32/3.18 tff(5425,plain,
% 4.32/3.18 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s62, c_c2) | node9(s62) | node8(s62) | node10(s62) | node11(s62) | node12(s62) | node13(s62, s63) | (~node14(s62, s63)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s62, c_c2) | node9(s62) | node8(s62) | node10(s62) | node11(s62) | node12(s62) | node13(s62, s63) | (~node14(s62, s63)))),
% 4.32/3.18 inference(rewrite,[status(thm)],[])).
% 4.32/3.18 tff(5426,plain,
% 4.32/3.18 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s62, c_c2) | node9(s62) | node8(s62) | node10(s62) | node11(s62) | node12(s62) | node13(s62, s63) | (~node14(s62, s63)))),
% 4.32/3.18 inference(quant_inst,[status(thm)],[])).
% 4.32/3.18 tff(5427,plain,
% 4.32/3.18 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s62, c_c2) | node9(s62) | node8(s62) | node10(s62) | node11(s62) | node12(s62) | node13(s62, s63) | (~node14(s62, s63))),
% 4.32/3.18 inference(modus_ponens,[status(thm)],[5426, 5425])).
% 4.32/3.18 tff(5428,plain,
% 4.32/3.18 (m_main_v_state2(s62, c_c2) | node9(s62) | node8(s62) | node10(s62) | node11(s62) | node12(s62) | node13(s62, s63)),
% 4.32/3.18 inference(unit_resolution,[status(thm)],[5427, 296, 5424])).
% 4.32/3.18 tff(5429,plain,
% 4.32/3.18 (node13(s62, s63)),
% 4.32/3.18 inference(unit_resolution,[status(thm)],[5428, 5420, 5345, 5416, 5412, 5408, 5404])).
% 4.32/3.18 tff(5430,plain,
% 4.32/3.18 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s62, c_t2)) | m_main_v_state2(s63, c_t2) | (~node13(s62, s63)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s62, c_t2)) | m_main_v_state2(s63, c_t2) | (~node13(s62, s63)))),
% 4.32/3.18 inference(rewrite,[status(thm)],[])).
% 4.32/3.18 tff(5431,plain,
% 4.32/3.18 (((~node13(s62, s63)) | (~m_main_v_state2(s62, c_t2)) | m_main_v_state2(s63, c_t2)) <=> ((~m_main_v_state2(s62, c_t2)) | m_main_v_state2(s63, c_t2) | (~node13(s62, s63)))),
% 4.32/3.18 inference(rewrite,[status(thm)],[])).
% 4.32/3.18 tff(5432,plain,
% 4.32/3.18 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s62, s63)) | (~m_main_v_state2(s62, c_t2)) | m_main_v_state2(s63, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s62, c_t2)) | m_main_v_state2(s63, c_t2) | (~node13(s62, s63))))),
% 4.32/3.18 inference(monotonicity,[status(thm)],[5431])).
% 4.32/3.18 tff(5433,plain,
% 4.32/3.18 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s62, s63)) | (~m_main_v_state2(s62, c_t2)) | m_main_v_state2(s63, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s62, c_t2)) | m_main_v_state2(s63, c_t2) | (~node13(s62, s63)))),
% 4.32/3.18 inference(transitivity,[status(thm)],[5432, 5430])).
% 4.32/3.18 tff(5434,plain,
% 4.32/3.18 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s62, s63)) | (~m_main_v_state2(s62, c_t2)) | m_main_v_state2(s63, c_t2))),
% 4.32/3.18 inference(quant_inst,[status(thm)],[])).
% 4.32/3.18 tff(5435,plain,
% 4.32/3.18 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s62, c_t2)) | m_main_v_state2(s63, c_t2) | (~node13(s62, s63))),
% 4.32/3.18 inference(modus_ponens,[status(thm)],[5434, 5433])).
% 4.32/3.18 tff(5436,plain,
% 4.32/3.18 (m_main_v_state2(s63, c_t2)),
% 4.32/3.18 inference(unit_resolution,[status(thm)],[5435, 518, 5333, 5429])).
% 4.32/3.18 tff(5437,plain,
% 4.32/3.18 (succ(s63, s64) <=> succ(s63, s64)),
% 4.32/3.18 inference(rewrite,[status(thm)],[])).
% 4.32/3.18 tff(5438,axiom,(succ(s63, s64)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound64')).
% 4.32/3.18 tff(5439,plain,
% 4.32/3.18 (succ(s63, s64)),
% 4.32/3.18 inference(modus_ponens,[status(thm)],[5438, 5437])).
% 4.32/3.18 tff(5440,plain,
% 4.32/3.18 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s63, s64)) | trans(s63, s64))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s63, s64)) | trans(s63, s64))),
% 4.32/3.18 inference(rewrite,[status(thm)],[])).
% 4.32/3.18 tff(5441,plain,
% 4.32/3.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s63, s64)) | trans(s63, s64))),
% 4.32/3.18 inference(quant_inst,[status(thm)],[])).
% 4.32/3.18 tff(5442,plain,
% 4.32/3.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s63, s64)) | trans(s63, s64)),
% 4.32/3.18 inference(modus_ponens,[status(thm)],[5441, 5440])).
% 4.32/3.18 tff(5443,plain,
% 4.32/3.18 (trans(s63, s64)),
% 4.32/3.18 inference(unit_resolution,[status(thm)],[5442, 5439, 32])).
% 4.32/3.18 tff(5444,plain,
% 4.32/3.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s63, s64)) | node7(s63, s64))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s63, s64)) | node7(s63, s64))),
% 4.32/3.18 inference(rewrite,[status(thm)],[])).
% 4.32/3.18 tff(5445,plain,
% 4.32/3.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s63, s64)) | node7(s63, s64))),
% 4.32/3.18 inference(quant_inst,[status(thm)],[])).
% 4.32/3.18 tff(5446,plain,
% 4.32/3.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s63, s64)) | node7(s63, s64)),
% 4.32/3.18 inference(modus_ponens,[status(thm)],[5445, 5444])).
% 4.32/3.18 tff(5447,plain,
% 4.32/3.18 (node7(s63, s64)),
% 4.32/3.18 inference(unit_resolution,[status(thm)],[5446, 206, 5443])).
% 4.32/3.18 tff(5448,plain,
% 4.32/3.18 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s63, c_n1)) | (~m_main_v_state2(s63, c_t2)) | (~node7(s63, s64)) | m_main_v_state1(s64, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s63, c_n1)) | (~m_main_v_state2(s63, c_t2)) | (~node7(s63, s64)) | m_main_v_state1(s64, c_t1))),
% 4.32/3.18 inference(rewrite,[status(thm)],[])).
% 4.32/3.18 tff(5449,plain,
% 4.32/3.18 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s63, c_n1)) | (~m_main_v_state2(s63, c_t2)) | (~node7(s63, s64)) | m_main_v_state1(s64, c_t1))),
% 4.32/3.18 inference(quant_inst,[status(thm)],[])).
% 4.32/3.18 tff(5450,plain,
% 4.32/3.18 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s63, c_n1)) | (~m_main_v_state2(s63, c_t2)) | (~node7(s63, s64)) | m_main_v_state1(s64, c_t1)),
% 4.32/3.18 inference(modus_ponens,[status(thm)],[5449, 5448])).
% 4.32/3.18 tff(5451,plain,
% 4.32/3.18 ((~m_main_v_state1(s63, c_n1)) | (~m_main_v_state2(s63, c_t2)) | m_main_v_state1(s64, c_t1)),
% 4.32/3.18 inference(unit_resolution,[status(thm)],[5450, 651, 5447])).
% 4.32/3.18 tff(5452,plain,
% 4.32/3.18 (m_main_v_state1(s64, c_t1)),
% 4.32/3.18 inference(unit_resolution,[status(thm)],[5451, 5436, 5380])).
% 4.32/3.18 tff(5453,plain,
% 4.32/3.18 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s64, c_n1)) | (~m_main_v_state1(s64, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s64, c_n1)) | (~m_main_v_state1(s64, c_t1)))),
% 4.32/3.18 inference(rewrite,[status(thm)],[])).
% 4.32/3.18 tff(5454,plain,
% 4.32/3.18 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s64, c_n1)) | (~m_main_v_state1(s64, c_t1)))),
% 4.32/3.18 inference(quant_inst,[status(thm)],[])).
% 4.32/3.18 tff(5455,plain,
% 4.32/3.18 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s64, c_n1)) | (~m_main_v_state1(s64, c_t1))),
% 4.32/3.18 inference(modus_ponens,[status(thm)],[5454, 5453])).
% 4.32/3.18 tff(5456,plain,
% 4.32/3.18 (~m_main_v_state1(s64, c_n1)),
% 4.32/3.18 inference(unit_resolution,[status(thm)],[5455, 10, 5452])).
% 4.32/3.18 tff(5457,plain,
% 4.32/3.18 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s64, c_n1) | (~node1(s64)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s64, c_n1) | (~node1(s64)))),
% 4.32/3.18 inference(rewrite,[status(thm)],[])).
% 4.32/3.18 tff(5458,plain,
% 4.32/3.18 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s64, c_n1) | (~node1(s64)))),
% 4.32/3.18 inference(quant_inst,[status(thm)],[])).
% 4.32/3.18 tff(5459,plain,
% 4.32/3.18 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s64, c_n1) | (~node1(s64))),
% 4.32/3.18 inference(modus_ponens,[status(thm)],[5458, 5457])).
% 4.32/3.18 tff(5460,plain,
% 4.32/3.18 (~node1(s64)),
% 4.32/3.18 inference(unit_resolution,[status(thm)],[5459, 421, 5456])).
% 4.32/3.18 tff(5461,plain,
% 4.32/3.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s63, s64)) | node18(s63, s64))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s63, s64)) | node18(s63, s64))),
% 4.32/3.18 inference(rewrite,[status(thm)],[])).
% 4.32/3.18 tff(5462,plain,
% 4.32/3.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s63, s64)) | node18(s63, s64))),
% 4.32/3.18 inference(quant_inst,[status(thm)],[])).
% 4.32/3.18 tff(5463,plain,
% 4.32/3.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s63, s64)) | node18(s63, s64)),
% 4.32/3.18 inference(modus_ponens,[status(thm)],[5462, 5461])).
% 4.32/3.18 tff(5464,plain,
% 4.32/3.18 (node18(s63, s64)),
% 4.32/3.18 inference(unit_resolution,[status(thm)],[5463, 125, 5443])).
% 4.32/3.18 tff(5465,plain,
% 4.32/3.18 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s63, c_n1)) | (~m_main_v_state2(s63, c_t2)) | (~node18(s63, s64)) | m_main_v_turn(s64, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s63, c_n1)) | (~m_main_v_state2(s63, c_t2)) | (~node18(s63, s64)) | m_main_v_turn(s64, c_2))),
% 4.32/3.18 inference(rewrite,[status(thm)],[])).
% 4.32/3.18 tff(5466,plain,
% 4.32/3.18 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s63, c_n1)) | (~m_main_v_state2(s63, c_t2)) | (~node18(s63, s64)) | m_main_v_turn(s64, c_2))),
% 4.32/3.18 inference(quant_inst,[status(thm)],[])).
% 4.32/3.18 tff(5467,plain,
% 4.32/3.18 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s63, c_n1)) | (~m_main_v_state2(s63, c_t2)) | (~node18(s63, s64)) | m_main_v_turn(s64, c_2)),
% 4.32/3.18 inference(modus_ponens,[status(thm)],[5466, 5465])).
% 4.32/3.18 tff(5468,plain,
% 4.32/3.18 ((~m_main_v_state1(s63, c_n1)) | (~m_main_v_state2(s63, c_t2)) | m_main_v_turn(s64, c_2)),
% 4.32/3.18 inference(unit_resolution,[status(thm)],[5467, 760, 5464])).
% 4.32/3.18 tff(5469,plain,
% 4.32/3.18 (m_main_v_turn(s64, c_2)),
% 4.32/3.18 inference(unit_resolution,[status(thm)],[5468, 5436, 5380])).
% 4.32/3.18 tff(5470,plain,
% 4.32/3.18 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s64, c_1)) | (~m_main_v_turn(s64, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s64, c_1)) | (~m_main_v_turn(s64, c_2)))),
% 4.32/3.18 inference(rewrite,[status(thm)],[])).
% 4.32/3.18 tff(5471,plain,
% 4.32/3.18 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s64, c_1)) | (~m_main_v_turn(s64, c_2)))),
% 4.32/3.18 inference(quant_inst,[status(thm)],[])).
% 4.32/3.18 tff(5472,plain,
% 4.32/3.18 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s64, c_1)) | (~m_main_v_turn(s64, c_2))),
% 4.32/3.18 inference(modus_ponens,[status(thm)],[5471, 5470])).
% 4.32/3.18 tff(5473,plain,
% 4.32/3.18 (~m_main_v_turn(s64, c_1)),
% 4.32/3.18 inference(unit_resolution,[status(thm)],[5472, 156, 5469])).
% 4.32/3.18 tff(5474,plain,
% 4.32/3.18 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s64, c_1) | (~node5(s64)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s64, c_1) | (~node5(s64)))),
% 4.32/3.18 inference(rewrite,[status(thm)],[])).
% 4.32/3.18 tff(5475,plain,
% 4.32/3.18 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s64, c_1) | (~node5(s64)))),
% 4.32/3.18 inference(quant_inst,[status(thm)],[])).
% 4.32/3.18 tff(5476,plain,
% 4.32/3.18 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s64, c_1) | (~node5(s64))),
% 4.32/3.18 inference(modus_ponens,[status(thm)],[5475, 5474])).
% 4.32/3.18 tff(5477,plain,
% 4.32/3.18 (~node5(s64)),
% 4.32/3.18 inference(unit_resolution,[status(thm)],[5476, 776, 5473])).
% 4.32/3.18 tff(5478,plain,
% 4.32/3.18 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s64, c_n1) | (~node2(s64)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s64, c_n1) | (~node2(s64)))),
% 4.32/3.18 inference(rewrite,[status(thm)],[])).
% 4.32/3.18 tff(5479,plain,
% 4.32/3.18 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s64, c_n1) | (~node2(s64)))),
% 4.32/3.18 inference(quant_inst,[status(thm)],[])).
% 4.32/3.18 tff(5480,plain,
% 4.32/3.18 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s64, c_n1) | (~node2(s64))),
% 4.32/3.18 inference(modus_ponens,[status(thm)],[5479, 5478])).
% 4.32/3.18 tff(5481,plain,
% 4.32/3.18 (~node2(s64)),
% 4.32/3.18 inference(unit_resolution,[status(thm)],[5480, 787, 5456])).
% 4.32/3.18 tff(5482,plain,
% 4.32/3.18 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s64, c_n1) | (~node3(s64)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s64, c_n1) | (~node3(s64)))),
% 4.32/3.18 inference(rewrite,[status(thm)],[])).
% 4.32/3.18 tff(5483,plain,
% 4.32/3.18 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s64, c_n1) | (~node3(s64)))),
% 4.32/3.18 inference(quant_inst,[status(thm)],[])).
% 4.32/3.18 tff(5484,plain,
% 4.32/3.18 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s64, c_n1) | (~node3(s64))),
% 4.32/3.18 inference(modus_ponens,[status(thm)],[5483, 5482])).
% 4.32/3.18 tff(5485,plain,
% 4.32/3.18 (~node3(s64)),
% 4.32/3.18 inference(unit_resolution,[status(thm)],[5484, 798, 5456])).
% 4.32/3.18 tff(5486,plain,
% 4.32/3.18 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s64, c_t1)) | (~m_main_v_state1(s64, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s64, c_t1)) | (~m_main_v_state1(s64, c_c1)))),
% 4.32/3.18 inference(rewrite,[status(thm)],[])).
% 4.32/3.18 tff(5487,plain,
% 4.32/3.18 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s64, c_t1)) | (~m_main_v_state1(s64, c_c1)))),
% 4.32/3.18 inference(quant_inst,[status(thm)],[])).
% 4.32/3.18 tff(5488,plain,
% 4.32/3.18 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s64, c_t1)) | (~m_main_v_state1(s64, c_c1))),
% 4.32/3.18 inference(modus_ponens,[status(thm)],[5487, 5486])).
% 4.32/3.18 tff(5489,plain,
% 4.32/3.18 (~m_main_v_state1(s64, c_c1)),
% 4.32/3.18 inference(unit_resolution,[status(thm)],[5488, 539, 5452])).
% 4.32/3.18 tff(5490,plain,
% 4.32/3.18 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s62, c_n2) | (~m_main_v_state2(s63, c_n2)) | (~node13(s62, s63)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s62, c_n2) | (~m_main_v_state2(s63, c_n2)) | (~node13(s62, s63)))),
% 4.32/3.18 inference(rewrite,[status(thm)],[])).
% 4.32/3.18 tff(5491,plain,
% 4.32/3.18 (((~node13(s62, s63)) | m_main_v_state2(s62, c_n2) | (~m_main_v_state2(s63, c_n2))) <=> (m_main_v_state2(s62, c_n2) | (~m_main_v_state2(s63, c_n2)) | (~node13(s62, s63)))),
% 4.32/3.18 inference(rewrite,[status(thm)],[])).
% 4.32/3.18 tff(5492,plain,
% 4.32/3.18 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s62, s63)) | m_main_v_state2(s62, c_n2) | (~m_main_v_state2(s63, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s62, c_n2) | (~m_main_v_state2(s63, c_n2)) | (~node13(s62, s63))))),
% 4.32/3.18 inference(monotonicity,[status(thm)],[5491])).
% 4.32/3.18 tff(5493,plain,
% 4.32/3.18 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s62, s63)) | m_main_v_state2(s62, c_n2) | (~m_main_v_state2(s63, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s62, c_n2) | (~m_main_v_state2(s63, c_n2)) | (~node13(s62, s63)))),
% 4.32/3.18 inference(transitivity,[status(thm)],[5492, 5490])).
% 4.32/3.18 tff(5494,plain,
% 4.32/3.18 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s62, s63)) | m_main_v_state2(s62, c_n2) | (~m_main_v_state2(s63, c_n2)))),
% 4.32/3.18 inference(quant_inst,[status(thm)],[])).
% 4.32/3.18 tff(5495,plain,
% 4.32/3.18 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s62, c_n2) | (~m_main_v_state2(s63, c_n2)) | (~node13(s62, s63))),
% 4.32/3.18 inference(modus_ponens,[status(thm)],[5494, 5493])).
% 4.32/3.18 tff(5496,plain,
% 4.32/3.18 (~m_main_v_state2(s63, c_n2)),
% 4.32/3.18 inference(unit_resolution,[status(thm)],[5495, 311, 5337, 5429])).
% 4.32/3.18 tff(5497,plain,
% 4.32/3.18 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s63, c_n2) | (~node9(s63)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s63, c_n2) | (~node9(s63)))),
% 4.32/3.18 inference(rewrite,[status(thm)],[])).
% 4.32/3.18 tff(5498,plain,
% 4.32/3.18 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s63, c_n2) | (~node9(s63)))),
% 4.32/3.18 inference(quant_inst,[status(thm)],[])).
% 4.32/3.18 tff(5499,plain,
% 4.32/3.18 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s63, c_n2) | (~node9(s63))),
% 4.32/3.18 inference(modus_ponens,[status(thm)],[5498, 5497])).
% 4.32/3.18 tff(5500,plain,
% 4.32/3.18 (~node9(s63)),
% 4.32/3.18 inference(unit_resolution,[status(thm)],[5499, 88, 5496])).
% 4.32/3.18 tff(5501,plain,
% 4.32/3.18 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s63, c_n2) | (~node10(s63)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s63, c_n2) | (~node10(s63)))),
% 4.32/3.18 inference(rewrite,[status(thm)],[])).
% 4.32/3.18 tff(5502,plain,
% 4.32/3.18 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s63, c_n2) | (~node10(s63)))),
% 4.32/3.18 inference(quant_inst,[status(thm)],[])).
% 4.32/3.18 tff(5503,plain,
% 4.32/3.18 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s63, c_n2) | (~node10(s63))),
% 4.32/3.18 inference(modus_ponens,[status(thm)],[5502, 5501])).
% 4.32/3.18 tff(5504,plain,
% 4.32/3.18 (~node10(s63)),
% 4.32/3.18 inference(unit_resolution,[status(thm)],[5503, 249, 5496])).
% 4.32/3.18 tff(5505,plain,
% 4.32/3.18 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s63, c_n2) | (~node8(s63)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s63, c_n2) | (~node8(s63)))),
% 4.32/3.18 inference(rewrite,[status(thm)],[])).
% 4.32/3.18 tff(5506,plain,
% 4.32/3.18 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s63, c_n2) | (~node8(s63)))),
% 4.32/3.18 inference(quant_inst,[status(thm)],[])).
% 4.32/3.18 tff(5507,plain,
% 4.32/3.18 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s63, c_n2) | (~node8(s63))),
% 4.32/3.18 inference(modus_ponens,[status(thm)],[5506, 5505])).
% 4.32/3.18 tff(5508,plain,
% 4.32/3.18 (~node8(s63)),
% 4.32/3.18 inference(unit_resolution,[status(thm)],[5507, 271, 5496])).
% 4.32/3.18 tff(5509,plain,
% 4.32/3.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s63, s64)) | node14(s63, s64))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s63, s64)) | node14(s63, s64))),
% 4.32/3.19 inference(rewrite,[status(thm)],[])).
% 4.32/3.19 tff(5510,plain,
% 4.32/3.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s63, s64)) | node14(s63, s64))),
% 4.32/3.19 inference(quant_inst,[status(thm)],[])).
% 4.32/3.19 tff(5511,plain,
% 4.32/3.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s63, s64)) | node14(s63, s64)),
% 4.32/3.19 inference(modus_ponens,[status(thm)],[5510, 5509])).
% 4.32/3.19 tff(5512,plain,
% 4.32/3.19 (node14(s63, s64)),
% 4.32/3.19 inference(unit_resolution,[status(thm)],[5511, 46, 5443])).
% 4.32/3.19 tff(5513,plain,
% 4.32/3.19 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s63, c_n1)) | (~m_main_v_state2(s63, c_t2)) | node9(s63) | node8(s63) | node10(s63) | (~node14(s63, s64)) | m_main_v_state2(s64, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s63, c_n1)) | (~m_main_v_state2(s63, c_t2)) | node9(s63) | node8(s63) | node10(s63) | (~node14(s63, s64)) | m_main_v_state2(s64, c_c2))),
% 4.32/3.19 inference(rewrite,[status(thm)],[])).
% 4.32/3.19 tff(5514,plain,
% 4.32/3.19 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s63, c_n1)) | (~m_main_v_state2(s63, c_t2)) | node9(s63) | node8(s63) | node10(s63) | (~node14(s63, s64)) | m_main_v_state2(s64, c_c2))),
% 4.32/3.19 inference(quant_inst,[status(thm)],[])).
% 4.32/3.19 tff(5515,plain,
% 4.32/3.19 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s63, c_n1)) | (~m_main_v_state2(s63, c_t2)) | node9(s63) | node8(s63) | node10(s63) | (~node14(s63, s64)) | m_main_v_state2(s64, c_c2)),
% 4.32/3.19 inference(modus_ponens,[status(thm)],[5514, 5513])).
% 4.32/3.19 tff(5516,plain,
% 4.32/3.19 ((~m_main_v_state1(s63, c_n1)) | (~m_main_v_state2(s63, c_t2)) | node9(s63) | node8(s63) | node10(s63) | m_main_v_state2(s64, c_c2)),
% 4.32/3.19 inference(unit_resolution,[status(thm)],[5515, 617, 5512])).
% 4.32/3.19 tff(5517,plain,
% 4.32/3.19 (m_main_v_state2(s64, c_c2)),
% 4.32/3.19 inference(unit_resolution,[status(thm)],[5516, 5508, 5380, 5436, 5504, 5500])).
% 4.32/3.19 tff(5518,plain,
% 4.32/3.19 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s64, c_n2)) | (~m_main_v_state2(s64, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s64, c_n2)) | (~m_main_v_state2(s64, c_c2)))),
% 4.32/3.19 inference(rewrite,[status(thm)],[])).
% 4.32/3.19 tff(5519,plain,
% 4.32/3.19 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s64, c_n2)) | (~m_main_v_state2(s64, c_c2)))),
% 4.32/3.19 inference(quant_inst,[status(thm)],[])).
% 4.32/3.19 tff(5520,plain,
% 4.32/3.19 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s64, c_n2)) | (~m_main_v_state2(s64, c_c2))),
% 4.32/3.19 inference(modus_ponens,[status(thm)],[5519, 5518])).
% 4.32/3.19 tff(5521,plain,
% 4.32/3.19 (~m_main_v_state2(s64, c_n2)),
% 4.32/3.19 inference(unit_resolution,[status(thm)],[5520, 697, 5517])).
% 4.32/3.19 tff(5522,plain,
% 4.32/3.19 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s64, c_n2) | (~node4(s64)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s64, c_n2) | (~node4(s64)))),
% 4.32/3.19 inference(rewrite,[status(thm)],[])).
% 4.32/3.19 tff(5523,plain,
% 4.32/3.19 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s64, c_n2) | (~node4(s64)))),
% 4.32/3.19 inference(quant_inst,[status(thm)],[])).
% 4.32/3.19 tff(5524,plain,
% 4.32/3.19 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s64, c_n2) | (~node4(s64))),
% 4.32/3.19 inference(modus_ponens,[status(thm)],[5523, 5522])).
% 4.32/3.19 tff(5525,plain,
% 4.32/3.19 (~node4(s64)),
% 4.32/3.19 inference(unit_resolution,[status(thm)],[5524, 388, 5521])).
% 4.32/3.19 tff(5526,plain,
% 4.32/3.19 (succ(s64, s65) <=> succ(s64, s65)),
% 4.32/3.19 inference(rewrite,[status(thm)],[])).
% 4.32/3.19 tff(5527,axiom,(succ(s64, s65)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound65')).
% 4.32/3.19 tff(5528,plain,
% 4.32/3.19 (succ(s64, s65)),
% 4.32/3.19 inference(modus_ponens,[status(thm)],[5527, 5526])).
% 4.32/3.19 tff(5529,plain,
% 4.32/3.19 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s64, s65)) | trans(s64, s65))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s64, s65)) | trans(s64, s65))),
% 4.32/3.19 inference(rewrite,[status(thm)],[])).
% 4.32/3.19 tff(5530,plain,
% 4.32/3.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s64, s65)) | trans(s64, s65))),
% 4.32/3.19 inference(quant_inst,[status(thm)],[])).
% 4.32/3.19 tff(5531,plain,
% 4.32/3.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s64, s65)) | trans(s64, s65)),
% 4.32/3.19 inference(modus_ponens,[status(thm)],[5530, 5529])).
% 4.32/3.19 tff(5532,plain,
% 4.32/3.19 (trans(s64, s65)),
% 4.32/3.19 inference(unit_resolution,[status(thm)],[5531, 5528, 32])).
% 4.32/3.19 tff(5533,plain,
% 4.32/3.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s64, s65)) | node7(s64, s65))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s64, s65)) | node7(s64, s65))),
% 4.32/3.19 inference(rewrite,[status(thm)],[])).
% 4.32/3.19 tff(5534,plain,
% 4.32/3.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s64, s65)) | node7(s64, s65))),
% 4.32/3.19 inference(quant_inst,[status(thm)],[])).
% 4.32/3.19 tff(5535,plain,
% 4.32/3.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s64, s65)) | node7(s64, s65)),
% 4.32/3.19 inference(modus_ponens,[status(thm)],[5534, 5533])).
% 4.32/3.19 tff(5536,plain,
% 4.32/3.19 (node7(s64, s65)),
% 4.32/3.19 inference(unit_resolution,[status(thm)],[5535, 206, 5532])).
% 4.32/3.19 tff(5537,plain,
% 4.32/3.19 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s64, c_c1) | node1(s64) | node2(s64) | node3(s64) | node4(s64) | node5(s64) | node6(s64, s65) | (~node7(s64, s65)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s64, c_c1) | node1(s64) | node2(s64) | node3(s64) | node4(s64) | node5(s64) | node6(s64, s65) | (~node7(s64, s65)))),
% 4.32/3.19 inference(rewrite,[status(thm)],[])).
% 4.32/3.19 tff(5538,plain,
% 4.32/3.19 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s64, c_c1) | node1(s64) | node2(s64) | node3(s64) | node4(s64) | node5(s64) | node6(s64, s65) | (~node7(s64, s65)))),
% 4.32/3.19 inference(quant_inst,[status(thm)],[])).
% 4.32/3.19 tff(5539,plain,
% 4.32/3.19 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s64, c_c1) | node1(s64) | node2(s64) | node3(s64) | node4(s64) | node5(s64) | node6(s64, s65) | (~node7(s64, s65))),
% 4.32/3.19 inference(modus_ponens,[status(thm)],[5538, 5537])).
% 4.32/3.19 tff(5540,plain,
% 4.32/3.19 (m_main_v_state1(s64, c_c1) | node1(s64) | node2(s64) | node3(s64) | node4(s64) | node5(s64) | node6(s64, s65)),
% 4.32/3.19 inference(unit_resolution,[status(thm)],[5539, 820, 5536])).
% 4.32/3.19 tff(5541,plain,
% 4.32/3.19 (node6(s64, s65)),
% 4.32/3.19 inference(unit_resolution,[status(thm)],[5540, 5525, 5489, 5485, 5481, 5477, 5460])).
% 4.32/3.19 tff(5542,plain,
% 4.32/3.19 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s64, c_t1)) | m_main_v_state1(s65, c_t1) | (~node6(s64, s65)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s64, c_t1)) | m_main_v_state1(s65, c_t1) | (~node6(s64, s65)))),
% 4.32/3.19 inference(rewrite,[status(thm)],[])).
% 4.32/3.19 tff(5543,plain,
% 4.32/3.19 (((~node6(s64, s65)) | (~m_main_v_state1(s64, c_t1)) | m_main_v_state1(s65, c_t1)) <=> ((~m_main_v_state1(s64, c_t1)) | m_main_v_state1(s65, c_t1) | (~node6(s64, s65)))),
% 4.32/3.19 inference(rewrite,[status(thm)],[])).
% 4.32/3.19 tff(5544,plain,
% 4.32/3.19 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s64, s65)) | (~m_main_v_state1(s64, c_t1)) | m_main_v_state1(s65, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s64, c_t1)) | m_main_v_state1(s65, c_t1) | (~node6(s64, s65))))),
% 4.32/3.19 inference(monotonicity,[status(thm)],[5543])).
% 4.32/3.19 tff(5545,plain,
% 4.32/3.19 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s64, s65)) | (~m_main_v_state1(s64, c_t1)) | m_main_v_state1(s65, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s64, c_t1)) | m_main_v_state1(s65, c_t1) | (~node6(s64, s65)))),
% 4.32/3.19 inference(transitivity,[status(thm)],[5544, 5542])).
% 4.32/3.19 tff(5546,plain,
% 4.32/3.19 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s64, s65)) | (~m_main_v_state1(s64, c_t1)) | m_main_v_state1(s65, c_t1))),
% 4.32/3.19 inference(quant_inst,[status(thm)],[])).
% 4.32/3.19 tff(5547,plain,
% 4.32/3.19 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s64, c_t1)) | m_main_v_state1(s65, c_t1) | (~node6(s64, s65))),
% 4.32/3.19 inference(modus_ponens,[status(thm)],[5546, 5545])).
% 4.32/3.19 tff(5548,plain,
% 4.32/3.19 (m_main_v_state1(s65, c_t1)),
% 4.32/3.19 inference(unit_resolution,[status(thm)],[5547, 856, 5452, 5541])).
% 4.32/3.19 tff(5549,plain,
% 4.32/3.19 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s64, c_t2)) | (~m_main_v_state2(s64, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s64, c_t2)) | (~m_main_v_state2(s64, c_c2)))),
% 4.32/3.19 inference(rewrite,[status(thm)],[])).
% 4.32/3.19 tff(5550,plain,
% 4.32/3.19 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s64, c_t2)) | (~m_main_v_state2(s64, c_c2)))),
% 4.32/3.19 inference(quant_inst,[status(thm)],[])).
% 4.32/3.19 tff(5551,plain,
% 4.32/3.19 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s64, c_t2)) | (~m_main_v_state2(s64, c_c2))),
% 4.32/3.19 inference(modus_ponens,[status(thm)],[5550, 5549])).
% 4.32/3.19 tff(5552,plain,
% 4.32/3.19 (~m_main_v_state2(s64, c_t2)),
% 4.32/3.19 inference(unit_resolution,[status(thm)],[5551, 260, 5517])).
% 4.32/3.19 tff(5553,plain,
% 4.32/3.19 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s64, c_t2) | (~node12(s64)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s64, c_t2) | (~node12(s64)))),
% 4.32/3.19 inference(rewrite,[status(thm)],[])).
% 4.32/3.19 tff(5554,plain,
% 4.32/3.19 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s64, c_t2) | (~node12(s64)))),
% 4.32/3.19 inference(quant_inst,[status(thm)],[])).
% 4.32/3.19 tff(5555,plain,
% 4.32/3.19 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s64, c_t2) | (~node12(s64))),
% 4.32/3.19 inference(modus_ponens,[status(thm)],[5554, 5553])).
% 4.32/3.19 tff(5556,plain,
% 4.32/3.19 (~node12(s64)),
% 4.32/3.19 inference(unit_resolution,[status(thm)],[5555, 633, 5552])).
% 4.32/3.19 tff(5557,plain,
% 4.32/3.19 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s64, c_n1) | (~node11(s64)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s64, c_n1) | (~node11(s64)))),
% 4.32/3.19 inference(rewrite,[status(thm)],[])).
% 4.32/3.19 tff(5558,plain,
% 4.32/3.19 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s64, c_n1) | (~node11(s64)))),
% 4.32/3.19 inference(quant_inst,[status(thm)],[])).
% 4.32/3.19 tff(5559,plain,
% 4.32/3.19 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s64, c_n1) | (~node11(s64))),
% 4.32/3.19 inference(modus_ponens,[status(thm)],[5558, 5557])).
% 4.32/3.19 tff(5560,plain,
% 4.32/3.19 (~node11(s64)),
% 4.32/3.19 inference(unit_resolution,[status(thm)],[5559, 238, 5456])).
% 4.32/3.19 tff(5561,plain,
% 4.32/3.19 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s64, c_c1) | (~node10(s64)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s64, c_c1) | (~node10(s64)))),
% 4.32/3.19 inference(rewrite,[status(thm)],[])).
% 4.32/3.19 tff(5562,plain,
% 4.32/3.19 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s64, c_c1) | (~node10(s64)))),
% 4.32/3.19 inference(quant_inst,[status(thm)],[])).
% 4.32/3.19 tff(5563,plain,
% 4.32/3.19 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s64, c_c1) | (~node10(s64))),
% 4.32/3.19 inference(modus_ponens,[status(thm)],[5562, 5561])).
% 4.32/3.19 tff(5564,plain,
% 4.32/3.19 (~node10(s64)),
% 4.32/3.19 inference(unit_resolution,[status(thm)],[5563, 675, 5489])).
% 4.32/3.19 tff(5565,plain,
% 4.32/3.19 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s64, c_n1) | (~node9(s64)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s64, c_n1) | (~node9(s64)))),
% 4.32/3.19 inference(rewrite,[status(thm)],[])).
% 4.32/3.19 tff(5566,plain,
% 4.32/3.19 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s64, c_n1) | (~node9(s64)))),
% 4.32/3.19 inference(quant_inst,[status(thm)],[])).
% 4.32/3.19 tff(5567,plain,
% 4.32/3.19 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s64, c_n1) | (~node9(s64))),
% 4.32/3.19 inference(modus_ponens,[status(thm)],[5566, 5565])).
% 4.32/3.19 tff(5568,plain,
% 4.32/3.19 (~node9(s64)),
% 4.32/3.19 inference(unit_resolution,[status(thm)],[5567, 686, 5456])).
% 4.32/3.19 tff(5569,plain,
% 4.32/3.19 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s64, c_n2) | (~node8(s64)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s64, c_n2) | (~node8(s64)))),
% 4.32/3.19 inference(rewrite,[status(thm)],[])).
% 4.32/3.19 tff(5570,plain,
% 4.32/3.19 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s64, c_n2) | (~node8(s64)))),
% 4.32/3.19 inference(quant_inst,[status(thm)],[])).
% 4.32/3.19 tff(5571,plain,
% 4.32/3.19 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s64, c_n2) | (~node8(s64))),
% 4.32/3.19 inference(modus_ponens,[status(thm)],[5570, 5569])).
% 4.32/3.19 tff(5572,plain,
% 4.32/3.19 (~node8(s64)),
% 4.32/3.19 inference(unit_resolution,[status(thm)],[5571, 271, 5521])).
% 4.32/3.19 tff(5573,plain,
% 4.32/3.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s64, s65)) | node14(s64, s65))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s64, s65)) | node14(s64, s65))),
% 4.32/3.19 inference(rewrite,[status(thm)],[])).
% 4.32/3.19 tff(5574,plain,
% 4.32/3.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s64, s65)) | node14(s64, s65))),
% 4.32/3.19 inference(quant_inst,[status(thm)],[])).
% 4.32/3.19 tff(5575,plain,
% 4.32/3.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s64, s65)) | node14(s64, s65)),
% 4.32/3.19 inference(modus_ponens,[status(thm)],[5574, 5573])).
% 4.32/3.19 tff(5576,plain,
% 4.32/3.19 (node14(s64, s65)),
% 4.32/3.19 inference(unit_resolution,[status(thm)],[5575, 46, 5532])).
% 4.32/3.19 tff(5577,plain,
% 4.32/3.19 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s65, c_n2) | node9(s64) | node8(s64) | node10(s64) | node11(s64) | node12(s64) | (~node14(s64, s65)) | (~m_main_v_state2(s64, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s65, c_n2) | node9(s64) | node8(s64) | node10(s64) | node11(s64) | node12(s64) | (~node14(s64, s65)) | (~m_main_v_state2(s64, c_c2)))),
% 4.32/3.19 inference(rewrite,[status(thm)],[])).
% 4.32/3.19 tff(5578,plain,
% 4.32/3.19 (((~m_main_v_state2(s64, c_c2)) | node9(s64) | node8(s64) | node10(s64) | node11(s64) | node12(s64) | (~node14(s64, s65)) | m_main_v_state2(s65, c_n2)) <=> (m_main_v_state2(s65, c_n2) | node9(s64) | node8(s64) | node10(s64) | node11(s64) | node12(s64) | (~node14(s64, s65)) | (~m_main_v_state2(s64, c_c2)))),
% 4.32/3.19 inference(rewrite,[status(thm)],[])).
% 4.32/3.19 tff(5579,plain,
% 4.32/3.19 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s64, c_c2)) | node9(s64) | node8(s64) | node10(s64) | node11(s64) | node12(s64) | (~node14(s64, s65)) | m_main_v_state2(s65, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s65, c_n2) | node9(s64) | node8(s64) | node10(s64) | node11(s64) | node12(s64) | (~node14(s64, s65)) | (~m_main_v_state2(s64, c_c2))))),
% 4.32/3.19 inference(monotonicity,[status(thm)],[5578])).
% 4.32/3.19 tff(5580,plain,
% 4.32/3.19 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s64, c_c2)) | node9(s64) | node8(s64) | node10(s64) | node11(s64) | node12(s64) | (~node14(s64, s65)) | m_main_v_state2(s65, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s65, c_n2) | node9(s64) | node8(s64) | node10(s64) | node11(s64) | node12(s64) | (~node14(s64, s65)) | (~m_main_v_state2(s64, c_c2)))),
% 4.32/3.19 inference(transitivity,[status(thm)],[5579, 5577])).
% 4.32/3.19 tff(5581,plain,
% 4.32/3.19 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s64, c_c2)) | node9(s64) | node8(s64) | node10(s64) | node11(s64) | node12(s64) | (~node14(s64, s65)) | m_main_v_state2(s65, c_n2))),
% 4.32/3.19 inference(quant_inst,[status(thm)],[])).
% 4.32/3.19 tff(5582,plain,
% 4.32/3.19 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s65, c_n2) | node9(s64) | node8(s64) | node10(s64) | node11(s64) | node12(s64) | (~node14(s64, s65)) | (~m_main_v_state2(s64, c_c2))),
% 4.32/3.19 inference(modus_ponens,[status(thm)],[5581, 5580])).
% 4.32/3.19 tff(5583,plain,
% 4.32/3.19 (m_main_v_state2(s65, c_n2) | node9(s64) | node8(s64) | node10(s64) | node11(s64) | node12(s64) | (~m_main_v_state2(s64, c_c2))),
% 4.32/3.19 inference(unit_resolution,[status(thm)],[5582, 726, 5576])).
% 4.32/3.19 tff(5584,plain,
% 4.32/3.19 (m_main_v_state2(s65, c_n2)),
% 4.32/3.19 inference(unit_resolution,[status(thm)],[5583, 5572, 5517, 5568, 5564, 5560, 5556])).
% 4.32/3.19 tff(5585,plain,
% 4.32/3.19 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s65, c_n2)) | (~m_main_v_state2(s65, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s65, c_n2)) | (~m_main_v_state2(s65, c_t2)))),
% 4.32/3.19 inference(rewrite,[status(thm)],[])).
% 4.32/3.19 tff(5586,plain,
% 4.32/3.19 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s65, c_n2)) | (~m_main_v_state2(s65, c_t2)))),
% 4.32/3.19 inference(quant_inst,[status(thm)],[])).
% 4.32/3.19 tff(5587,plain,
% 4.32/3.19 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s65, c_n2)) | (~m_main_v_state2(s65, c_t2))),
% 4.32/3.19 inference(modus_ponens,[status(thm)],[5586, 5585])).
% 4.32/3.19 tff(5588,plain,
% 4.32/3.19 (~m_main_v_state2(s65, c_t2)),
% 4.32/3.19 inference(unit_resolution,[status(thm)],[5587, 77, 5584])).
% 4.32/3.19 tff(5589,plain,
% 4.32/3.19 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s65, c_t2) | (~node15(s65)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s65, c_t2) | (~node15(s65)))),
% 4.32/3.19 inference(rewrite,[status(thm)],[])).
% 4.32/3.19 tff(5590,plain,
% 4.32/3.19 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s65, c_t2) | (~node15(s65)))),
% 4.32/3.19 inference(quant_inst,[status(thm)],[])).
% 4.32/3.19 tff(5591,plain,
% 4.32/3.19 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s65, c_t2) | (~node15(s65))),
% 4.32/3.19 inference(modus_ponens,[status(thm)],[5590, 5589])).
% 4.32/3.19 tff(5592,plain,
% 4.32/3.19 (~node15(s65)),
% 4.32/3.19 inference(unit_resolution,[status(thm)],[5591, 103, 5588])).
% 4.32/3.19 tff(5593,plain,
% 4.32/3.19 (succ(s65, s66) <=> succ(s65, s66)),
% 4.32/3.19 inference(rewrite,[status(thm)],[])).
% 4.32/3.19 tff(5594,axiom,(succ(s65, s66)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound66')).
% 4.32/3.19 tff(5595,plain,
% 4.32/3.19 (succ(s65, s66)),
% 4.32/3.19 inference(modus_ponens,[status(thm)],[5594, 5593])).
% 4.32/3.19 tff(5596,plain,
% 4.32/3.19 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s65, s66)) | trans(s65, s66))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s65, s66)) | trans(s65, s66))),
% 4.32/3.19 inference(rewrite,[status(thm)],[])).
% 4.32/3.19 tff(5597,plain,
% 4.32/3.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s65, s66)) | trans(s65, s66))),
% 4.32/3.19 inference(quant_inst,[status(thm)],[])).
% 4.32/3.19 tff(5598,plain,
% 4.32/3.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s65, s66)) | trans(s65, s66)),
% 4.32/3.19 inference(modus_ponens,[status(thm)],[5597, 5596])).
% 4.32/3.19 tff(5599,plain,
% 4.32/3.19 (trans(s65, s66)),
% 4.32/3.19 inference(unit_resolution,[status(thm)],[5598, 5595, 32])).
% 4.32/3.19 tff(5600,plain,
% 4.32/3.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s65, s66)) | node18(s65, s66))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s65, s66)) | node18(s65, s66))),
% 4.32/3.19 inference(rewrite,[status(thm)],[])).
% 4.32/3.19 tff(5601,plain,
% 4.32/3.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s65, s66)) | node18(s65, s66))),
% 4.32/3.19 inference(quant_inst,[status(thm)],[])).
% 4.32/3.19 tff(5602,plain,
% 4.32/3.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s65, s66)) | node18(s65, s66)),
% 4.32/3.19 inference(modus_ponens,[status(thm)],[5601, 5600])).
% 4.32/3.19 tff(5603,plain,
% 4.32/3.19 (node18(s65, s66)),
% 4.32/3.19 inference(unit_resolution,[status(thm)],[5602, 125, 5599])).
% 4.32/3.19 tff(5604,plain,
% 4.32/3.19 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s65) | (~node18(s65, s66)) | (~m_main_v_state1(s65, c_t1)) | (~m_main_v_state2(s65, c_n2)) | m_main_v_turn(s66, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s65) | (~node18(s65, s66)) | (~m_main_v_state1(s65, c_t1)) | (~m_main_v_state2(s65, c_n2)) | m_main_v_turn(s66, c_1))),
% 4.32/3.19 inference(rewrite,[status(thm)],[])).
% 4.32/3.19 tff(5605,plain,
% 4.32/3.19 (((~m_main_v_state1(s65, c_t1)) | (~m_main_v_state2(s65, c_n2)) | node15(s65) | (~node18(s65, s66)) | m_main_v_turn(s66, c_1)) <=> (node15(s65) | (~node18(s65, s66)) | (~m_main_v_state1(s65, c_t1)) | (~m_main_v_state2(s65, c_n2)) | m_main_v_turn(s66, c_1))),
% 4.32/3.19 inference(rewrite,[status(thm)],[])).
% 4.32/3.19 tff(5606,plain,
% 4.32/3.19 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s65, c_t1)) | (~m_main_v_state2(s65, c_n2)) | node15(s65) | (~node18(s65, s66)) | m_main_v_turn(s66, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s65) | (~node18(s65, s66)) | (~m_main_v_state1(s65, c_t1)) | (~m_main_v_state2(s65, c_n2)) | m_main_v_turn(s66, c_1)))),
% 4.32/3.19 inference(monotonicity,[status(thm)],[5605])).
% 4.32/3.19 tff(5607,plain,
% 4.32/3.19 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s65, c_t1)) | (~m_main_v_state2(s65, c_n2)) | node15(s65) | (~node18(s65, s66)) | m_main_v_turn(s66, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s65) | (~node18(s65, s66)) | (~m_main_v_state1(s65, c_t1)) | (~m_main_v_state2(s65, c_n2)) | m_main_v_turn(s66, c_1))),
% 4.32/3.19 inference(transitivity,[status(thm)],[5606, 5604])).
% 4.32/3.19 tff(5608,plain,
% 4.32/3.19 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s65, c_t1)) | (~m_main_v_state2(s65, c_n2)) | node15(s65) | (~node18(s65, s66)) | m_main_v_turn(s66, c_1))),
% 4.32/3.19 inference(quant_inst,[status(thm)],[])).
% 4.32/3.19 tff(5609,plain,
% 4.32/3.19 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s65) | (~node18(s65, s66)) | (~m_main_v_state1(s65, c_t1)) | (~m_main_v_state2(s65, c_n2)) | m_main_v_turn(s66, c_1)),
% 4.32/3.19 inference(modus_ponens,[status(thm)],[5608, 5607])).
% 4.32/3.19 tff(5610,plain,
% 4.32/3.19 (node15(s65) | (~m_main_v_state1(s65, c_t1)) | (~m_main_v_state2(s65, c_n2)) | m_main_v_turn(s66, c_1)),
% 4.32/3.19 inference(unit_resolution,[status(thm)],[5609, 992, 5603])).
% 4.32/3.19 tff(5611,plain,
% 4.32/3.19 (m_main_v_turn(s66, c_1)),
% 4.36/3.19 inference(unit_resolution,[status(thm)],[5610, 5592, 5584, 5548])).
% 4.36/3.19 tff(5612,plain,
% 4.36/3.19 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s66, c_1)) | (~m_main_v_turn(s66, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s66, c_1)) | (~m_main_v_turn(s66, c_2)))),
% 4.36/3.19 inference(rewrite,[status(thm)],[])).
% 4.36/3.19 tff(5613,plain,
% 4.36/3.19 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s66, c_1)) | (~m_main_v_turn(s66, c_2)))),
% 4.36/3.19 inference(quant_inst,[status(thm)],[])).
% 4.36/3.19 tff(5614,plain,
% 4.36/3.19 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s66, c_1)) | (~m_main_v_turn(s66, c_2))),
% 4.36/3.19 inference(modus_ponens,[status(thm)],[5613, 5612])).
% 4.36/3.19 tff(5615,plain,
% 4.36/3.19 (~m_main_v_turn(s66, c_2)),
% 4.36/3.19 inference(unit_resolution,[status(thm)],[5614, 156, 5611])).
% 4.36/3.19 tff(5616,plain,
% 4.36/3.19 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s66, c_2) | (~node12(s66)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s66, c_2) | (~node12(s66)))),
% 4.36/3.20 inference(rewrite,[status(thm)],[])).
% 4.36/3.20 tff(5617,plain,
% 4.36/3.20 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s66, c_2) | (~node12(s66)))),
% 4.36/3.20 inference(quant_inst,[status(thm)],[])).
% 4.36/3.20 tff(5618,plain,
% 4.36/3.20 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s66, c_2) | (~node12(s66))),
% 4.36/3.20 inference(modus_ponens,[status(thm)],[5617, 5616])).
% 4.36/3.20 tff(5619,plain,
% 4.36/3.20 (~node12(s66)),
% 4.36/3.20 inference(unit_resolution,[status(thm)],[5618, 184, 5615])).
% 4.36/3.20 tff(5620,plain,
% 4.36/3.20 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s65, s66)) | node14(s65, s66))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s65, s66)) | node14(s65, s66))),
% 4.36/3.20 inference(rewrite,[status(thm)],[])).
% 4.36/3.20 tff(5621,plain,
% 4.36/3.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s65, s66)) | node14(s65, s66))),
% 4.36/3.20 inference(quant_inst,[status(thm)],[])).
% 4.36/3.20 tff(5622,plain,
% 4.36/3.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s65, s66)) | node14(s65, s66)),
% 4.36/3.20 inference(modus_ponens,[status(thm)],[5621, 5620])).
% 4.36/3.20 tff(5623,plain,
% 4.36/3.20 (node14(s65, s66)),
% 4.36/3.20 inference(unit_resolution,[status(thm)],[5622, 46, 5599])).
% 4.36/3.20 tff(5624,plain,
% 4.36/3.20 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s65, c_t1)) | (~m_main_v_state2(s65, c_n2)) | (~node14(s65, s66)) | m_main_v_state2(s66, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s65, c_t1)) | (~m_main_v_state2(s65, c_n2)) | (~node14(s65, s66)) | m_main_v_state2(s66, c_t2))),
% 4.36/3.20 inference(rewrite,[status(thm)],[])).
% 4.36/3.20 tff(5625,plain,
% 4.36/3.20 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s65, c_t1)) | (~m_main_v_state2(s65, c_n2)) | (~node14(s65, s66)) | m_main_v_state2(s66, c_t2))),
% 4.36/3.20 inference(quant_inst,[status(thm)],[])).
% 4.36/3.20 tff(5626,plain,
% 4.36/3.20 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s65, c_t1)) | (~m_main_v_state2(s65, c_n2)) | (~node14(s65, s66)) | m_main_v_state2(s66, c_t2)),
% 4.36/3.20 inference(modus_ponens,[status(thm)],[5625, 5624])).
% 4.36/3.20 tff(5627,plain,
% 4.36/3.20 ((~m_main_v_state1(s65, c_t1)) | (~m_main_v_state2(s65, c_n2)) | m_main_v_state2(s66, c_t2)),
% 4.36/3.20 inference(unit_resolution,[status(thm)],[5626, 922, 5623])).
% 4.36/3.20 tff(5628,plain,
% 4.36/3.20 (m_main_v_state2(s66, c_t2)),
% 4.36/3.20 inference(unit_resolution,[status(thm)],[5627, 5548, 5584])).
% 4.36/3.20 tff(5629,plain,
% 4.36/3.20 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s66, c_n2)) | (~m_main_v_state2(s66, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s66, c_n2)) | (~m_main_v_state2(s66, c_t2)))),
% 4.36/3.20 inference(rewrite,[status(thm)],[])).
% 4.36/3.20 tff(5630,plain,
% 4.36/3.20 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s66, c_n2)) | (~m_main_v_state2(s66, c_t2)))),
% 4.36/3.20 inference(quant_inst,[status(thm)],[])).
% 4.36/3.20 tff(5631,plain,
% 4.36/3.20 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s66, c_n2)) | (~m_main_v_state2(s66, c_t2))),
% 4.36/3.20 inference(modus_ponens,[status(thm)],[5630, 5629])).
% 4.36/3.20 tff(5632,plain,
% 4.36/3.20 (~m_main_v_state2(s66, c_n2)),
% 4.36/3.20 inference(unit_resolution,[status(thm)],[5631, 77, 5628])).
% 4.36/3.20 tff(5633,plain,
% 4.36/3.20 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s66, c_n2) | (~node8(s66)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s66, c_n2) | (~node8(s66)))),
% 4.36/3.20 inference(rewrite,[status(thm)],[])).
% 4.36/3.20 tff(5634,plain,
% 4.36/3.20 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s66, c_n2) | (~node8(s66)))),
% 4.36/3.20 inference(quant_inst,[status(thm)],[])).
% 4.36/3.20 tff(5635,plain,
% 4.36/3.20 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s66, c_n2) | (~node8(s66))),
% 4.36/3.20 inference(modus_ponens,[status(thm)],[5634, 5633])).
% 4.36/3.20 tff(5636,plain,
% 4.36/3.20 (~node8(s66)),
% 4.36/3.20 inference(unit_resolution,[status(thm)],[5635, 271, 5632])).
% 4.36/3.20 tff(5637,plain,
% 4.36/3.20 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s66, c_n2) | (~node9(s66)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s66, c_n2) | (~node9(s66)))),
% 4.36/3.20 inference(rewrite,[status(thm)],[])).
% 4.36/3.20 tff(5638,plain,
% 4.36/3.20 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s66, c_n2) | (~node9(s66)))),
% 4.36/3.20 inference(quant_inst,[status(thm)],[])).
% 4.36/3.20 tff(5639,plain,
% 4.36/3.20 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s66, c_n2) | (~node9(s66))),
% 4.36/3.20 inference(modus_ponens,[status(thm)],[5638, 5637])).
% 4.36/3.20 tff(5640,plain,
% 4.36/3.20 (~node9(s66)),
% 4.36/3.20 inference(unit_resolution,[status(thm)],[5639, 88, 5632])).
% 4.36/3.20 tff(5641,plain,
% 4.36/3.20 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s66, c_n2) | (~node10(s66)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s66, c_n2) | (~node10(s66)))),
% 4.36/3.20 inference(rewrite,[status(thm)],[])).
% 4.36/3.20 tff(5642,plain,
% 4.36/3.20 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s66, c_n2) | (~node10(s66)))),
% 4.36/3.20 inference(quant_inst,[status(thm)],[])).
% 4.36/3.20 tff(5643,plain,
% 4.36/3.20 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s66, c_n2) | (~node10(s66))),
% 4.36/3.20 inference(modus_ponens,[status(thm)],[5642, 5641])).
% 4.36/3.20 tff(5644,plain,
% 4.36/3.20 (~node10(s66)),
% 4.36/3.20 inference(unit_resolution,[status(thm)],[5643, 249, 5632])).
% 4.36/3.20 tff(5645,plain,
% 4.36/3.20 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s66, c_t2)) | (~m_main_v_state2(s66, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s66, c_t2)) | (~m_main_v_state2(s66, c_c2)))),
% 4.36/3.20 inference(rewrite,[status(thm)],[])).
% 4.36/3.20 tff(5646,plain,
% 4.36/3.20 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s66, c_t2)) | (~m_main_v_state2(s66, c_c2)))),
% 4.36/3.20 inference(quant_inst,[status(thm)],[])).
% 4.36/3.20 tff(5647,plain,
% 4.36/3.20 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s66, c_t2)) | (~m_main_v_state2(s66, c_c2))),
% 4.36/3.20 inference(modus_ponens,[status(thm)],[5646, 5645])).
% 4.36/3.20 tff(5648,plain,
% 4.36/3.20 (~m_main_v_state2(s66, c_c2)),
% 4.36/3.20 inference(unit_resolution,[status(thm)],[5647, 260, 5628])).
% 4.36/3.20 tff(5649,plain,
% 4.36/3.20 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s65, c_n2)) | (~m_main_v_state2(s65, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s65, c_n2)) | (~m_main_v_state2(s65, c_c2)))),
% 4.36/3.20 inference(rewrite,[status(thm)],[])).
% 4.36/3.20 tff(5650,plain,
% 4.36/3.20 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s65, c_n2)) | (~m_main_v_state2(s65, c_c2)))),
% 4.36/3.20 inference(quant_inst,[status(thm)],[])).
% 4.36/3.20 tff(5651,plain,
% 4.36/3.20 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s65, c_n2)) | (~m_main_v_state2(s65, c_c2))),
% 4.36/3.20 inference(modus_ponens,[status(thm)],[5650, 5649])).
% 4.36/3.20 tff(5652,plain,
% 4.36/3.20 (~m_main_v_state2(s65, c_c2)),
% 4.36/3.20 inference(unit_resolution,[status(thm)],[5651, 697, 5584])).
% 4.36/3.20 tff(5653,plain,
% 4.36/3.20 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s65, c_c2) | (~node3(s65)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s65, c_c2) | (~node3(s65)))),
% 4.36/3.20 inference(rewrite,[status(thm)],[])).
% 4.36/3.20 tff(5654,plain,
% 4.36/3.20 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s65, c_c2) | (~node3(s65)))),
% 4.36/3.20 inference(quant_inst,[status(thm)],[])).
% 4.36/3.20 tff(5655,plain,
% 4.36/3.20 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s65, c_c2) | (~node3(s65))),
% 4.36/3.20 inference(modus_ponens,[status(thm)],[5654, 5653])).
% 4.36/3.20 tff(5656,plain,
% 4.36/3.20 (~node3(s65)),
% 4.36/3.20 inference(unit_resolution,[status(thm)],[5655, 399, 5652])).
% 4.36/3.20 tff(5657,plain,
% 4.36/3.20 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s64, c_n1) | (~m_main_v_state1(s65, c_n1)) | (~node6(s64, s65)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s64, c_n1) | (~m_main_v_state1(s65, c_n1)) | (~node6(s64, s65)))),
% 4.36/3.20 inference(rewrite,[status(thm)],[])).
% 4.36/3.20 tff(5658,plain,
% 4.36/3.20 (((~node6(s64, s65)) | m_main_v_state1(s64, c_n1) | (~m_main_v_state1(s65, c_n1))) <=> (m_main_v_state1(s64, c_n1) | (~m_main_v_state1(s65, c_n1)) | (~node6(s64, s65)))),
% 4.36/3.20 inference(rewrite,[status(thm)],[])).
% 4.36/3.20 tff(5659,plain,
% 4.36/3.20 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s64, s65)) | m_main_v_state1(s64, c_n1) | (~m_main_v_state1(s65, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s64, c_n1) | (~m_main_v_state1(s65, c_n1)) | (~node6(s64, s65))))),
% 4.36/3.20 inference(monotonicity,[status(thm)],[5658])).
% 4.36/3.20 tff(5660,plain,
% 4.36/3.20 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s64, s65)) | m_main_v_state1(s64, c_n1) | (~m_main_v_state1(s65, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s64, c_n1) | (~m_main_v_state1(s65, c_n1)) | (~node6(s64, s65)))),
% 4.36/3.20 inference(transitivity,[status(thm)],[5659, 5657])).
% 4.36/3.20 tff(5661,plain,
% 4.36/3.20 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s64, s65)) | m_main_v_state1(s64, c_n1) | (~m_main_v_state1(s65, c_n1)))),
% 4.36/3.20 inference(quant_inst,[status(thm)],[])).
% 4.36/3.20 tff(5662,plain,
% 4.36/3.20 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s64, c_n1) | (~m_main_v_state1(s65, c_n1)) | (~node6(s64, s65))),
% 4.36/3.20 inference(modus_ponens,[status(thm)],[5661, 5660])).
% 4.36/3.20 tff(5663,plain,
% 4.36/3.20 (~m_main_v_state1(s65, c_n1)),
% 4.36/3.20 inference(unit_resolution,[status(thm)],[5662, 835, 5456, 5541])).
% 4.36/3.20 tff(5664,plain,
% 4.36/3.20 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s65, c_n1) | (~node2(s65)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s65, c_n1) | (~node2(s65)))),
% 4.36/3.20 inference(rewrite,[status(thm)],[])).
% 4.36/3.20 tff(5665,plain,
% 4.36/3.20 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s65, c_n1) | (~node2(s65)))),
% 4.36/3.20 inference(quant_inst,[status(thm)],[])).
% 4.36/3.20 tff(5666,plain,
% 4.36/3.20 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s65, c_n1) | (~node2(s65))),
% 4.36/3.20 inference(modus_ponens,[status(thm)],[5665, 5664])).
% 4.36/3.20 tff(5667,plain,
% 4.36/3.20 (~node2(s65)),
% 4.36/3.20 inference(unit_resolution,[status(thm)],[5666, 787, 5663])).
% 4.36/3.20 tff(5668,plain,
% 4.36/3.20 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s65, c_t2) | (~node1(s65)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s65, c_t2) | (~node1(s65)))),
% 4.36/3.20 inference(rewrite,[status(thm)],[])).
% 4.36/3.20 tff(5669,plain,
% 4.36/3.20 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s65, c_t2) | (~node1(s65)))),
% 4.36/3.20 inference(quant_inst,[status(thm)],[])).
% 4.36/3.20 tff(5670,plain,
% 4.36/3.20 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s65, c_t2) | (~node1(s65))),
% 4.36/3.20 inference(modus_ponens,[status(thm)],[5669, 5668])).
% 4.36/3.20 tff(5671,plain,
% 4.36/3.20 (~node1(s65)),
% 4.36/3.20 inference(unit_resolution,[status(thm)],[5670, 195, 5588])).
% 4.36/3.20 tff(5672,plain,
% 4.36/3.20 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s65, s66)) | node7(s65, s66))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s65, s66)) | node7(s65, s66))),
% 4.36/3.20 inference(rewrite,[status(thm)],[])).
% 4.36/3.20 tff(5673,plain,
% 4.36/3.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s65, s66)) | node7(s65, s66))),
% 4.36/3.20 inference(quant_inst,[status(thm)],[])).
% 4.36/3.20 tff(5674,plain,
% 4.36/3.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s65, s66)) | node7(s65, s66)),
% 4.36/3.20 inference(modus_ponens,[status(thm)],[5673, 5672])).
% 4.36/3.20 tff(5675,plain,
% 4.36/3.20 (node7(s65, s66)),
% 4.36/3.20 inference(unit_resolution,[status(thm)],[5674, 206, 5599])).
% 4.36/3.20 tff(5676,plain,
% 4.36/3.20 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s65, c_t1)) | (~m_main_v_state2(s65, c_n2)) | m_main_v_state1(s66, c_c1) | node1(s65) | node2(s65) | node3(s65) | (~node7(s65, s66)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s65, c_t1)) | (~m_main_v_state2(s65, c_n2)) | m_main_v_state1(s66, c_c1) | node1(s65) | node2(s65) | node3(s65) | (~node7(s65, s66)))),
% 4.36/3.20 inference(rewrite,[status(thm)],[])).
% 4.36/3.20 tff(5677,plain,
% 4.36/3.20 (((~m_main_v_state1(s65, c_t1)) | (~m_main_v_state2(s65, c_n2)) | node1(s65) | node2(s65) | node3(s65) | (~node7(s65, s66)) | m_main_v_state1(s66, c_c1)) <=> ((~m_main_v_state1(s65, c_t1)) | (~m_main_v_state2(s65, c_n2)) | m_main_v_state1(s66, c_c1) | node1(s65) | node2(s65) | node3(s65) | (~node7(s65, s66)))),
% 4.36/3.20 inference(rewrite,[status(thm)],[])).
% 4.36/3.20 tff(5678,plain,
% 4.36/3.20 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s65, c_t1)) | (~m_main_v_state2(s65, c_n2)) | node1(s65) | node2(s65) | node3(s65) | (~node7(s65, s66)) | m_main_v_state1(s66, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s65, c_t1)) | (~m_main_v_state2(s65, c_n2)) | m_main_v_state1(s66, c_c1) | node1(s65) | node2(s65) | node3(s65) | (~node7(s65, s66))))),
% 4.36/3.20 inference(monotonicity,[status(thm)],[5677])).
% 4.36/3.20 tff(5679,plain,
% 4.36/3.20 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s65, c_t1)) | (~m_main_v_state2(s65, c_n2)) | node1(s65) | node2(s65) | node3(s65) | (~node7(s65, s66)) | m_main_v_state1(s66, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s65, c_t1)) | (~m_main_v_state2(s65, c_n2)) | m_main_v_state1(s66, c_c1) | node1(s65) | node2(s65) | node3(s65) | (~node7(s65, s66)))),
% 4.36/3.20 inference(transitivity,[status(thm)],[5678, 5676])).
% 4.36/3.20 tff(5680,plain,
% 4.36/3.20 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s65, c_t1)) | (~m_main_v_state2(s65, c_n2)) | node1(s65) | node2(s65) | node3(s65) | (~node7(s65, s66)) | m_main_v_state1(s66, c_c1))),
% 4.36/3.20 inference(quant_inst,[status(thm)],[])).
% 4.36/3.20 tff(5681,plain,
% 4.36/3.20 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s65, c_t1)) | (~m_main_v_state2(s65, c_n2)) | m_main_v_state1(s66, c_c1) | node1(s65) | node2(s65) | node3(s65) | (~node7(s65, s66))),
% 4.36/3.20 inference(modus_ponens,[status(thm)],[5680, 5679])).
% 4.36/3.20 tff(5682,plain,
% 4.36/3.20 ((~m_main_v_state1(s65, c_t1)) | (~m_main_v_state2(s65, c_n2)) | m_main_v_state1(s66, c_c1) | node1(s65) | node2(s65) | node3(s65)),
% 4.36/3.20 inference(unit_resolution,[status(thm)],[5681, 892, 5675])).
% 4.36/3.20 tff(5683,plain,
% 4.36/3.20 (m_main_v_state1(s66, c_c1)),
% 4.36/3.20 inference(unit_resolution,[status(thm)],[5682, 5671, 5584, 5548, 5667, 5656])).
% 4.36/3.20 tff(5684,plain,
% 4.36/3.20 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s66, c_n1)) | (~m_main_v_state1(s66, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s66, c_n1)) | (~m_main_v_state1(s66, c_c1)))),
% 4.36/3.20 inference(rewrite,[status(thm)],[])).
% 4.36/3.20 tff(5685,plain,
% 4.36/3.20 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s66, c_n1)) | (~m_main_v_state1(s66, c_c1)))),
% 4.36/3.20 inference(quant_inst,[status(thm)],[])).
% 4.36/3.20 tff(5686,plain,
% 4.36/3.20 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s66, c_n1)) | (~m_main_v_state1(s66, c_c1))),
% 4.36/3.20 inference(modus_ponens,[status(thm)],[5685, 5684])).
% 4.36/3.20 tff(5687,plain,
% 4.36/3.20 (~m_main_v_state1(s66, c_n1)),
% 4.36/3.20 inference(unit_resolution,[status(thm)],[5686, 454, 5683])).
% 4.36/3.20 tff(5688,plain,
% 4.36/3.20 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s66, c_n1) | (~node11(s66)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s66, c_n1) | (~node11(s66)))),
% 4.36/3.20 inference(rewrite,[status(thm)],[])).
% 4.36/3.20 tff(5689,plain,
% 4.36/3.20 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s66, c_n1) | (~node11(s66)))),
% 4.36/3.20 inference(quant_inst,[status(thm)],[])).
% 4.36/3.20 tff(5690,plain,
% 4.36/3.20 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s66, c_n1) | (~node11(s66))),
% 4.36/3.20 inference(modus_ponens,[status(thm)],[5689, 5688])).
% 4.36/3.20 tff(5691,plain,
% 4.36/3.20 (~node11(s66)),
% 4.36/3.20 inference(unit_resolution,[status(thm)],[5690, 238, 5687])).
% 4.36/3.20 tff(5692,plain,
% 4.36/3.20 (succ(s66, s67) <=> succ(s66, s67)),
% 4.36/3.20 inference(rewrite,[status(thm)],[])).
% 4.36/3.20 tff(5693,axiom,(succ(s66, s67)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound67')).
% 4.36/3.20 tff(5694,plain,
% 4.36/3.20 (succ(s66, s67)),
% 4.36/3.20 inference(modus_ponens,[status(thm)],[5693, 5692])).
% 4.36/3.20 tff(5695,plain,
% 4.36/3.20 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s66, s67)) | trans(s66, s67))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s66, s67)) | trans(s66, s67))),
% 4.36/3.20 inference(rewrite,[status(thm)],[])).
% 4.36/3.20 tff(5696,plain,
% 4.36/3.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s66, s67)) | trans(s66, s67))),
% 4.36/3.20 inference(quant_inst,[status(thm)],[])).
% 4.36/3.20 tff(5697,plain,
% 4.36/3.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s66, s67)) | trans(s66, s67)),
% 4.36/3.20 inference(modus_ponens,[status(thm)],[5696, 5695])).
% 4.36/3.20 tff(5698,plain,
% 4.36/3.20 (trans(s66, s67)),
% 4.36/3.20 inference(unit_resolution,[status(thm)],[5697, 5694, 32])).
% 4.36/3.20 tff(5699,plain,
% 4.36/3.20 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s66, s67)) | node14(s66, s67))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s66, s67)) | node14(s66, s67))),
% 4.36/3.20 inference(rewrite,[status(thm)],[])).
% 4.36/3.20 tff(5700,plain,
% 4.36/3.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s66, s67)) | node14(s66, s67))),
% 4.36/3.20 inference(quant_inst,[status(thm)],[])).
% 4.36/3.20 tff(5701,plain,
% 4.36/3.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s66, s67)) | node14(s66, s67)),
% 4.36/3.20 inference(modus_ponens,[status(thm)],[5700, 5699])).
% 4.36/3.20 tff(5702,plain,
% 4.36/3.20 (node14(s66, s67)),
% 4.36/3.20 inference(unit_resolution,[status(thm)],[5701, 46, 5698])).
% 4.36/3.20 tff(5703,plain,
% 4.36/3.20 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s66, c_c2) | node9(s66) | node8(s66) | node10(s66) | node11(s66) | node12(s66) | node13(s66, s67) | (~node14(s66, s67)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s66, c_c2) | node9(s66) | node8(s66) | node10(s66) | node11(s66) | node12(s66) | node13(s66, s67) | (~node14(s66, s67)))),
% 4.36/3.20 inference(rewrite,[status(thm)],[])).
% 4.36/3.20 tff(5704,plain,
% 4.36/3.20 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s66, c_c2) | node9(s66) | node8(s66) | node10(s66) | node11(s66) | node12(s66) | node13(s66, s67) | (~node14(s66, s67)))),
% 4.36/3.20 inference(quant_inst,[status(thm)],[])).
% 4.36/3.20 tff(5705,plain,
% 4.36/3.20 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s66, c_c2) | node9(s66) | node8(s66) | node10(s66) | node11(s66) | node12(s66) | node13(s66, s67) | (~node14(s66, s67))),
% 4.36/3.20 inference(modus_ponens,[status(thm)],[5704, 5703])).
% 4.36/3.20 tff(5706,plain,
% 4.36/3.20 (m_main_v_state2(s66, c_c2) | node9(s66) | node8(s66) | node10(s66) | node11(s66) | node12(s66) | node13(s66, s67)),
% 4.36/3.20 inference(unit_resolution,[status(thm)],[5705, 296, 5702])).
% 4.36/3.20 tff(5707,plain,
% 4.36/3.20 (node13(s66, s67)),
% 4.36/3.20 inference(unit_resolution,[status(thm)],[5706, 5691, 5648, 5644, 5640, 5636, 5619])).
% 4.36/3.20 tff(5708,plain,
% 4.36/3.20 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s66, c_n2) | (~m_main_v_state2(s67, c_n2)) | (~node13(s66, s67)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s66, c_n2) | (~m_main_v_state2(s67, c_n2)) | (~node13(s66, s67)))),
% 4.36/3.20 inference(rewrite,[status(thm)],[])).
% 4.36/3.20 tff(5709,plain,
% 4.36/3.20 (((~node13(s66, s67)) | m_main_v_state2(s66, c_n2) | (~m_main_v_state2(s67, c_n2))) <=> (m_main_v_state2(s66, c_n2) | (~m_main_v_state2(s67, c_n2)) | (~node13(s66, s67)))),
% 4.36/3.20 inference(rewrite,[status(thm)],[])).
% 4.36/3.20 tff(5710,plain,
% 4.36/3.20 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s66, s67)) | m_main_v_state2(s66, c_n2) | (~m_main_v_state2(s67, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s66, c_n2) | (~m_main_v_state2(s67, c_n2)) | (~node13(s66, s67))))),
% 4.36/3.20 inference(monotonicity,[status(thm)],[5709])).
% 4.36/3.20 tff(5711,plain,
% 4.36/3.20 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s66, s67)) | m_main_v_state2(s66, c_n2) | (~m_main_v_state2(s67, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s66, c_n2) | (~m_main_v_state2(s67, c_n2)) | (~node13(s66, s67)))),
% 4.36/3.20 inference(transitivity,[status(thm)],[5710, 5708])).
% 4.36/3.20 tff(5712,plain,
% 4.36/3.20 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s66, s67)) | m_main_v_state2(s66, c_n2) | (~m_main_v_state2(s67, c_n2)))),
% 4.36/3.20 inference(quant_inst,[status(thm)],[])).
% 4.36/3.20 tff(5713,plain,
% 4.36/3.20 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s66, c_n2) | (~m_main_v_state2(s67, c_n2)) | (~node13(s66, s67))),
% 4.36/3.20 inference(modus_ponens,[status(thm)],[5712, 5711])).
% 4.36/3.20 tff(5714,plain,
% 4.36/3.20 (~m_main_v_state2(s67, c_n2)),
% 4.36/3.20 inference(unit_resolution,[status(thm)],[5713, 311, 5632, 5707])).
% 4.36/3.20 tff(5715,plain,
% 4.36/3.20 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s67, c_n2) | (~node9(s67)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s67, c_n2) | (~node9(s67)))),
% 4.36/3.20 inference(rewrite,[status(thm)],[])).
% 4.36/3.20 tff(5716,plain,
% 4.36/3.20 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s67, c_n2) | (~node9(s67)))),
% 4.36/3.20 inference(quant_inst,[status(thm)],[])).
% 4.36/3.20 tff(5717,plain,
% 4.36/3.20 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s67, c_n2) | (~node9(s67))),
% 4.36/3.20 inference(modus_ponens,[status(thm)],[5716, 5715])).
% 4.36/3.20 tff(5718,plain,
% 4.36/3.20 (~node9(s67)),
% 4.36/3.20 inference(unit_resolution,[status(thm)],[5717, 88, 5714])).
% 4.36/3.20 tff(5719,plain,
% 4.36/3.20 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s67, c_n2) | (~node10(s67)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s67, c_n2) | (~node10(s67)))),
% 4.36/3.20 inference(rewrite,[status(thm)],[])).
% 4.36/3.20 tff(5720,plain,
% 4.36/3.20 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s67, c_n2) | (~node10(s67)))),
% 4.36/3.20 inference(quant_inst,[status(thm)],[])).
% 4.36/3.20 tff(5721,plain,
% 4.36/3.20 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s67, c_n2) | (~node10(s67))),
% 4.36/3.20 inference(modus_ponens,[status(thm)],[5720, 5719])).
% 4.36/3.20 tff(5722,plain,
% 4.36/3.20 (~node10(s67)),
% 4.36/3.20 inference(unit_resolution,[status(thm)],[5721, 249, 5714])).
% 4.36/3.20 tff(5723,plain,
% 4.36/3.20 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s66, c_t2)) | m_main_v_state2(s67, c_t2) | (~node13(s66, s67)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s66, c_t2)) | m_main_v_state2(s67, c_t2) | (~node13(s66, s67)))),
% 4.36/3.20 inference(rewrite,[status(thm)],[])).
% 4.36/3.20 tff(5724,plain,
% 4.36/3.20 (((~node13(s66, s67)) | (~m_main_v_state2(s66, c_t2)) | m_main_v_state2(s67, c_t2)) <=> ((~m_main_v_state2(s66, c_t2)) | m_main_v_state2(s67, c_t2) | (~node13(s66, s67)))),
% 4.36/3.20 inference(rewrite,[status(thm)],[])).
% 4.36/3.20 tff(5725,plain,
% 4.36/3.20 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s66, s67)) | (~m_main_v_state2(s66, c_t2)) | m_main_v_state2(s67, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s66, c_t2)) | m_main_v_state2(s67, c_t2) | (~node13(s66, s67))))),
% 4.36/3.20 inference(monotonicity,[status(thm)],[5724])).
% 4.36/3.20 tff(5726,plain,
% 4.36/3.20 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s66, s67)) | (~m_main_v_state2(s66, c_t2)) | m_main_v_state2(s67, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s66, c_t2)) | m_main_v_state2(s67, c_t2) | (~node13(s66, s67)))),
% 4.36/3.20 inference(transitivity,[status(thm)],[5725, 5723])).
% 4.36/3.20 tff(5727,plain,
% 4.36/3.20 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s66, s67)) | (~m_main_v_state2(s66, c_t2)) | m_main_v_state2(s67, c_t2))),
% 4.36/3.20 inference(quant_inst,[status(thm)],[])).
% 4.36/3.20 tff(5728,plain,
% 4.36/3.20 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s66, c_t2)) | m_main_v_state2(s67, c_t2) | (~node13(s66, s67))),
% 4.36/3.20 inference(modus_ponens,[status(thm)],[5727, 5726])).
% 4.36/3.20 tff(5729,plain,
% 4.36/3.20 (m_main_v_state2(s67, c_t2)),
% 4.36/3.20 inference(unit_resolution,[status(thm)],[5728, 518, 5628, 5707])).
% 4.36/3.20 tff(5730,plain,
% 4.36/3.20 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s66, c_t1)) | (~m_main_v_state1(s66, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s66, c_t1)) | (~m_main_v_state1(s66, c_c1)))),
% 4.36/3.20 inference(rewrite,[status(thm)],[])).
% 4.36/3.20 tff(5731,plain,
% 4.36/3.20 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s66, c_t1)) | (~m_main_v_state1(s66, c_c1)))),
% 4.36/3.20 inference(quant_inst,[status(thm)],[])).
% 4.36/3.20 tff(5732,plain,
% 4.36/3.20 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s66, c_t1)) | (~m_main_v_state1(s66, c_c1))),
% 4.36/3.20 inference(modus_ponens,[status(thm)],[5731, 5730])).
% 4.36/3.20 tff(5733,plain,
% 4.36/3.20 (~m_main_v_state1(s66, c_t1)),
% 4.36/3.20 inference(unit_resolution,[status(thm)],[5732, 539, 5683])).
% 4.36/3.20 tff(5734,plain,
% 4.36/3.20 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s66, c_t1) | (~node5(s66)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s66, c_t1) | (~node5(s66)))),
% 4.36/3.20 inference(rewrite,[status(thm)],[])).
% 4.36/3.20 tff(5735,plain,
% 4.36/3.20 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s66, c_t1) | (~node5(s66)))),
% 4.36/3.20 inference(quant_inst,[status(thm)],[])).
% 4.36/3.20 tff(5736,plain,
% 4.36/3.20 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s66, c_t1) | (~node5(s66))),
% 4.36/3.20 inference(modus_ponens,[status(thm)],[5735, 5734])).
% 4.36/3.20 tff(5737,plain,
% 4.36/3.20 (~node5(s66)),
% 4.36/3.20 inference(unit_resolution,[status(thm)],[5736, 550, 5733])).
% 4.36/3.20 tff(5738,plain,
% 4.36/3.20 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s66, c_n2) | (~node4(s66)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s66, c_n2) | (~node4(s66)))),
% 4.36/3.20 inference(rewrite,[status(thm)],[])).
% 4.36/3.20 tff(5739,plain,
% 4.36/3.20 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s66, c_n2) | (~node4(s66)))),
% 4.36/3.20 inference(quant_inst,[status(thm)],[])).
% 4.36/3.20 tff(5740,plain,
% 4.36/3.20 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s66, c_n2) | (~node4(s66))),
% 4.36/3.20 inference(modus_ponens,[status(thm)],[5739, 5738])).
% 4.36/3.20 tff(5741,plain,
% 4.36/3.20 (~node4(s66)),
% 4.36/3.20 inference(unit_resolution,[status(thm)],[5740, 388, 5632])).
% 4.36/3.20 tff(5742,plain,
% 4.36/3.20 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s66, c_c2) | (~node3(s66)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s66, c_c2) | (~node3(s66)))),
% 4.36/3.21 inference(rewrite,[status(thm)],[])).
% 4.36/3.21 tff(5743,plain,
% 4.36/3.21 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s66, c_c2) | (~node3(s66)))),
% 4.36/3.21 inference(quant_inst,[status(thm)],[])).
% 4.36/3.21 tff(5744,plain,
% 4.36/3.21 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s66, c_c2) | (~node3(s66))),
% 4.36/3.21 inference(modus_ponens,[status(thm)],[5743, 5742])).
% 4.36/3.21 tff(5745,plain,
% 4.36/3.21 (~node3(s66)),
% 4.36/3.21 inference(unit_resolution,[status(thm)],[5744, 399, 5648])).
% 4.36/3.21 tff(5746,plain,
% 4.36/3.21 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s66, c_n2) | (~node2(s66)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s66, c_n2) | (~node2(s66)))),
% 4.36/3.21 inference(rewrite,[status(thm)],[])).
% 4.36/3.21 tff(5747,plain,
% 4.36/3.21 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s66, c_n2) | (~node2(s66)))),
% 4.36/3.21 inference(quant_inst,[status(thm)],[])).
% 4.36/3.21 tff(5748,plain,
% 4.36/3.21 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s66, c_n2) | (~node2(s66))),
% 4.36/3.21 inference(modus_ponens,[status(thm)],[5747, 5746])).
% 4.36/3.21 tff(5749,plain,
% 4.36/3.21 (~node2(s66)),
% 4.36/3.21 inference(unit_resolution,[status(thm)],[5748, 410, 5632])).
% 4.36/3.21 tff(5750,plain,
% 4.36/3.21 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s66, c_n1) | (~node1(s66)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s66, c_n1) | (~node1(s66)))),
% 4.36/3.21 inference(rewrite,[status(thm)],[])).
% 4.36/3.21 tff(5751,plain,
% 4.36/3.21 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s66, c_n1) | (~node1(s66)))),
% 4.36/3.21 inference(quant_inst,[status(thm)],[])).
% 4.36/3.21 tff(5752,plain,
% 4.36/3.21 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s66, c_n1) | (~node1(s66))),
% 4.36/3.21 inference(modus_ponens,[status(thm)],[5751, 5750])).
% 4.36/3.21 tff(5753,plain,
% 4.36/3.21 (~node1(s66)),
% 4.36/3.21 inference(unit_resolution,[status(thm)],[5752, 421, 5687])).
% 4.36/3.21 tff(5754,plain,
% 4.36/3.21 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s66, s67)) | node7(s66, s67))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s66, s67)) | node7(s66, s67))),
% 4.36/3.21 inference(rewrite,[status(thm)],[])).
% 4.36/3.21 tff(5755,plain,
% 4.36/3.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s66, s67)) | node7(s66, s67))),
% 4.36/3.21 inference(quant_inst,[status(thm)],[])).
% 4.36/3.21 tff(5756,plain,
% 4.36/3.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s66, s67)) | node7(s66, s67)),
% 4.36/3.21 inference(modus_ponens,[status(thm)],[5755, 5754])).
% 4.36/3.21 tff(5757,plain,
% 4.36/3.21 (node7(s66, s67)),
% 4.36/3.21 inference(unit_resolution,[status(thm)],[5756, 206, 5698])).
% 4.36/3.21 tff(5758,plain,
% 4.36/3.21 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s67, c_n1) | (~m_main_v_state1(s66, c_c1)) | node1(s66) | node2(s66) | node3(s66) | node4(s66) | node5(s66) | (~node7(s66, s67)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s67, c_n1) | (~m_main_v_state1(s66, c_c1)) | node1(s66) | node2(s66) | node3(s66) | node4(s66) | node5(s66) | (~node7(s66, s67)))),
% 4.36/3.21 inference(rewrite,[status(thm)],[])).
% 4.36/3.21 tff(5759,plain,
% 4.36/3.21 (((~m_main_v_state1(s66, c_c1)) | node1(s66) | node2(s66) | node3(s66) | node4(s66) | node5(s66) | (~node7(s66, s67)) | m_main_v_state1(s67, c_n1)) <=> (m_main_v_state1(s67, c_n1) | (~m_main_v_state1(s66, c_c1)) | node1(s66) | node2(s66) | node3(s66) | node4(s66) | node5(s66) | (~node7(s66, s67)))),
% 4.36/3.21 inference(rewrite,[status(thm)],[])).
% 4.36/3.21 tff(5760,plain,
% 4.36/3.21 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s66, c_c1)) | node1(s66) | node2(s66) | node3(s66) | node4(s66) | node5(s66) | (~node7(s66, s67)) | m_main_v_state1(s67, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s67, c_n1) | (~m_main_v_state1(s66, c_c1)) | node1(s66) | node2(s66) | node3(s66) | node4(s66) | node5(s66) | (~node7(s66, s67))))),
% 4.36/3.21 inference(monotonicity,[status(thm)],[5759])).
% 4.36/3.21 tff(5761,plain,
% 4.36/3.21 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s66, c_c1)) | node1(s66) | node2(s66) | node3(s66) | node4(s66) | node5(s66) | (~node7(s66, s67)) | m_main_v_state1(s67, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s67, c_n1) | (~m_main_v_state1(s66, c_c1)) | node1(s66) | node2(s66) | node3(s66) | node4(s66) | node5(s66) | (~node7(s66, s67)))),
% 4.36/3.21 inference(transitivity,[status(thm)],[5760, 5758])).
% 4.36/3.21 tff(5762,plain,
% 4.36/3.21 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s66, c_c1)) | node1(s66) | node2(s66) | node3(s66) | node4(s66) | node5(s66) | (~node7(s66, s67)) | m_main_v_state1(s67, c_n1))),
% 4.36/3.21 inference(quant_inst,[status(thm)],[])).
% 4.36/3.21 tff(5763,plain,
% 4.36/3.21 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s67, c_n1) | (~m_main_v_state1(s66, c_c1)) | node1(s66) | node2(s66) | node3(s66) | node4(s66) | node5(s66) | (~node7(s66, s67))),
% 4.36/3.21 inference(modus_ponens,[status(thm)],[5762, 5761])).
% 4.36/3.21 tff(5764,plain,
% 4.36/3.21 (m_main_v_state1(s67, c_n1) | (~m_main_v_state1(s66, c_c1)) | node1(s66) | node2(s66) | node3(s66) | node4(s66) | node5(s66)),
% 4.36/3.21 inference(unit_resolution,[status(thm)],[5763, 584, 5757])).
% 4.36/3.21 tff(5765,plain,
% 4.36/3.21 (m_main_v_state1(s67, c_n1)),
% 4.36/3.21 inference(unit_resolution,[status(thm)],[5764, 5753, 5683, 5749, 5745, 5741, 5737])).
% 4.36/3.21 tff(5766,plain,
% 4.36/3.21 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s67, c_n2) | (~node8(s67)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s67, c_n2) | (~node8(s67)))),
% 4.36/3.21 inference(rewrite,[status(thm)],[])).
% 4.36/3.21 tff(5767,plain,
% 4.36/3.21 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s67, c_n2) | (~node8(s67)))),
% 4.36/3.21 inference(quant_inst,[status(thm)],[])).
% 4.36/3.21 tff(5768,plain,
% 4.36/3.21 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s67, c_n2) | (~node8(s67))),
% 4.36/3.21 inference(modus_ponens,[status(thm)],[5767, 5766])).
% 4.36/3.21 tff(5769,plain,
% 4.36/3.21 (~node8(s67)),
% 4.36/3.21 inference(unit_resolution,[status(thm)],[5768, 271, 5714])).
% 4.36/3.21 tff(5770,plain,
% 4.36/3.21 (succ(s67, s68) <=> succ(s67, s68)),
% 4.36/3.21 inference(rewrite,[status(thm)],[])).
% 4.36/3.21 tff(5771,axiom,(succ(s67, s68)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound68')).
% 4.36/3.21 tff(5772,plain,
% 4.36/3.21 (succ(s67, s68)),
% 4.36/3.21 inference(modus_ponens,[status(thm)],[5771, 5770])).
% 4.36/3.21 tff(5773,plain,
% 4.36/3.21 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s67, s68)) | trans(s67, s68))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s67, s68)) | trans(s67, s68))),
% 4.36/3.21 inference(rewrite,[status(thm)],[])).
% 4.36/3.21 tff(5774,plain,
% 4.36/3.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s67, s68)) | trans(s67, s68))),
% 4.36/3.21 inference(quant_inst,[status(thm)],[])).
% 4.36/3.21 tff(5775,plain,
% 4.36/3.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s67, s68)) | trans(s67, s68)),
% 4.36/3.21 inference(modus_ponens,[status(thm)],[5774, 5773])).
% 4.36/3.21 tff(5776,plain,
% 4.36/3.21 (trans(s67, s68)),
% 4.36/3.21 inference(unit_resolution,[status(thm)],[5775, 5772, 32])).
% 4.36/3.21 tff(5777,plain,
% 4.36/3.21 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s67, s68)) | node14(s67, s68))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s67, s68)) | node14(s67, s68))),
% 4.36/3.21 inference(rewrite,[status(thm)],[])).
% 4.36/3.21 tff(5778,plain,
% 4.36/3.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s67, s68)) | node14(s67, s68))),
% 4.36/3.21 inference(quant_inst,[status(thm)],[])).
% 4.36/3.21 tff(5779,plain,
% 4.36/3.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s67, s68)) | node14(s67, s68)),
% 4.36/3.21 inference(modus_ponens,[status(thm)],[5778, 5777])).
% 4.36/3.21 tff(5780,plain,
% 4.36/3.21 (node14(s67, s68)),
% 4.36/3.21 inference(unit_resolution,[status(thm)],[5779, 46, 5776])).
% 4.36/3.21 tff(5781,plain,
% 4.36/3.21 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s67, c_n1)) | (~m_main_v_state2(s67, c_t2)) | node9(s67) | node8(s67) | node10(s67) | (~node14(s67, s68)) | m_main_v_state2(s68, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s67, c_n1)) | (~m_main_v_state2(s67, c_t2)) | node9(s67) | node8(s67) | node10(s67) | (~node14(s67, s68)) | m_main_v_state2(s68, c_c2))),
% 4.36/3.21 inference(rewrite,[status(thm)],[])).
% 4.36/3.21 tff(5782,plain,
% 4.36/3.21 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s67, c_n1)) | (~m_main_v_state2(s67, c_t2)) | node9(s67) | node8(s67) | node10(s67) | (~node14(s67, s68)) | m_main_v_state2(s68, c_c2))),
% 4.36/3.21 inference(quant_inst,[status(thm)],[])).
% 4.36/3.21 tff(5783,plain,
% 4.36/3.21 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s67, c_n1)) | (~m_main_v_state2(s67, c_t2)) | node9(s67) | node8(s67) | node10(s67) | (~node14(s67, s68)) | m_main_v_state2(s68, c_c2)),
% 4.36/3.21 inference(modus_ponens,[status(thm)],[5782, 5781])).
% 4.36/3.21 tff(5784,plain,
% 4.36/3.21 ((~m_main_v_state1(s67, c_n1)) | (~m_main_v_state2(s67, c_t2)) | node9(s67) | node8(s67) | node10(s67) | m_main_v_state2(s68, c_c2)),
% 4.36/3.21 inference(unit_resolution,[status(thm)],[5783, 617, 5780])).
% 4.36/3.21 tff(5785,plain,
% 4.36/3.21 (m_main_v_state2(s68, c_c2)),
% 4.36/3.21 inference(unit_resolution,[status(thm)],[5784, 5769, 5765, 5729, 5722, 5718])).
% 4.36/3.21 tff(5786,plain,
% 4.36/3.21 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s68, c_t2)) | (~m_main_v_state2(s68, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s68, c_t2)) | (~m_main_v_state2(s68, c_c2)))),
% 4.36/3.21 inference(rewrite,[status(thm)],[])).
% 4.36/3.21 tff(5787,plain,
% 4.36/3.21 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s68, c_t2)) | (~m_main_v_state2(s68, c_c2)))),
% 4.36/3.21 inference(quant_inst,[status(thm)],[])).
% 4.36/3.21 tff(5788,plain,
% 4.36/3.21 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s68, c_t2)) | (~m_main_v_state2(s68, c_c2))),
% 4.36/3.21 inference(modus_ponens,[status(thm)],[5787, 5786])).
% 4.36/3.21 tff(5789,plain,
% 4.36/3.21 (~m_main_v_state2(s68, c_t2)),
% 4.36/3.21 inference(unit_resolution,[status(thm)],[5788, 260, 5785])).
% 4.36/3.21 tff(5790,plain,
% 4.36/3.21 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s68, c_t2) | (~node12(s68)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s68, c_t2) | (~node12(s68)))),
% 4.36/3.21 inference(rewrite,[status(thm)],[])).
% 4.36/3.21 tff(5791,plain,
% 4.36/3.21 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s68, c_t2) | (~node12(s68)))),
% 4.36/3.21 inference(quant_inst,[status(thm)],[])).
% 4.36/3.21 tff(5792,plain,
% 4.36/3.21 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s68, c_t2) | (~node12(s68))),
% 4.36/3.21 inference(modus_ponens,[status(thm)],[5791, 5790])).
% 4.36/3.21 tff(5793,plain,
% 4.36/3.21 (~node12(s68)),
% 4.36/3.21 inference(unit_resolution,[status(thm)],[5792, 633, 5789])).
% 4.36/3.21 tff(5794,plain,
% 4.36/3.21 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s67, s68)) | node7(s67, s68))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s67, s68)) | node7(s67, s68))),
% 4.36/3.21 inference(rewrite,[status(thm)],[])).
% 4.36/3.21 tff(5795,plain,
% 4.36/3.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s67, s68)) | node7(s67, s68))),
% 4.36/3.21 inference(quant_inst,[status(thm)],[])).
% 4.36/3.21 tff(5796,plain,
% 4.36/3.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s67, s68)) | node7(s67, s68)),
% 4.36/3.21 inference(modus_ponens,[status(thm)],[5795, 5794])).
% 4.36/3.21 tff(5797,plain,
% 4.36/3.21 (node7(s67, s68)),
% 4.36/3.21 inference(unit_resolution,[status(thm)],[5796, 206, 5776])).
% 4.36/3.21 tff(5798,plain,
% 4.36/3.21 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s67, c_n1)) | (~m_main_v_state2(s67, c_t2)) | (~node7(s67, s68)) | m_main_v_state1(s68, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s67, c_n1)) | (~m_main_v_state2(s67, c_t2)) | (~node7(s67, s68)) | m_main_v_state1(s68, c_t1))),
% 4.36/3.21 inference(rewrite,[status(thm)],[])).
% 4.36/3.21 tff(5799,plain,
% 4.36/3.21 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s67, c_n1)) | (~m_main_v_state2(s67, c_t2)) | (~node7(s67, s68)) | m_main_v_state1(s68, c_t1))),
% 4.36/3.21 inference(quant_inst,[status(thm)],[])).
% 4.36/3.21 tff(5800,plain,
% 4.36/3.21 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s67, c_n1)) | (~m_main_v_state2(s67, c_t2)) | (~node7(s67, s68)) | m_main_v_state1(s68, c_t1)),
% 4.36/3.21 inference(modus_ponens,[status(thm)],[5799, 5798])).
% 4.36/3.21 tff(5801,plain,
% 4.36/3.21 ((~m_main_v_state1(s67, c_n1)) | (~m_main_v_state2(s67, c_t2)) | m_main_v_state1(s68, c_t1)),
% 4.36/3.21 inference(unit_resolution,[status(thm)],[5800, 651, 5797])).
% 4.36/3.21 tff(5802,plain,
% 4.36/3.21 (m_main_v_state1(s68, c_t1)),
% 4.36/3.21 inference(unit_resolution,[status(thm)],[5801, 5729, 5765])).
% 4.36/3.21 tff(5803,plain,
% 4.36/3.21 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s68, c_n1)) | (~m_main_v_state1(s68, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s68, c_n1)) | (~m_main_v_state1(s68, c_t1)))),
% 4.36/3.21 inference(rewrite,[status(thm)],[])).
% 4.36/3.21 tff(5804,plain,
% 4.36/3.21 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s68, c_n1)) | (~m_main_v_state1(s68, c_t1)))),
% 4.36/3.21 inference(quant_inst,[status(thm)],[])).
% 4.36/3.21 tff(5805,plain,
% 4.36/3.21 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s68, c_n1)) | (~m_main_v_state1(s68, c_t1))),
% 4.36/3.21 inference(modus_ponens,[status(thm)],[5804, 5803])).
% 4.36/3.21 tff(5806,plain,
% 4.36/3.21 (~m_main_v_state1(s68, c_n1)),
% 4.36/3.21 inference(unit_resolution,[status(thm)],[5805, 10, 5802])).
% 4.36/3.21 tff(5807,plain,
% 4.36/3.21 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s68, c_n1) | (~node11(s68)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s68, c_n1) | (~node11(s68)))),
% 4.36/3.21 inference(rewrite,[status(thm)],[])).
% 4.36/3.21 tff(5808,plain,
% 4.36/3.21 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s68, c_n1) | (~node11(s68)))),
% 4.36/3.21 inference(quant_inst,[status(thm)],[])).
% 4.36/3.21 tff(5809,plain,
% 4.36/3.21 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s68, c_n1) | (~node11(s68))),
% 4.36/3.21 inference(modus_ponens,[status(thm)],[5808, 5807])).
% 4.36/3.21 tff(5810,plain,
% 4.36/3.21 (~node11(s68)),
% 4.36/3.21 inference(unit_resolution,[status(thm)],[5809, 238, 5806])).
% 4.36/3.21 tff(5811,plain,
% 4.36/3.21 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s68, c_t1)) | (~m_main_v_state1(s68, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s68, c_t1)) | (~m_main_v_state1(s68, c_c1)))),
% 4.36/3.21 inference(rewrite,[status(thm)],[])).
% 4.36/3.21 tff(5812,plain,
% 4.36/3.21 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s68, c_t1)) | (~m_main_v_state1(s68, c_c1)))),
% 4.36/3.21 inference(quant_inst,[status(thm)],[])).
% 4.36/3.21 tff(5813,plain,
% 4.36/3.21 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s68, c_t1)) | (~m_main_v_state1(s68, c_c1))),
% 4.36/3.21 inference(modus_ponens,[status(thm)],[5812, 5811])).
% 4.36/3.21 tff(5814,plain,
% 4.36/3.21 (~m_main_v_state1(s68, c_c1)),
% 4.36/3.21 inference(unit_resolution,[status(thm)],[5813, 539, 5802])).
% 4.36/3.21 tff(5815,plain,
% 4.36/3.21 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s68, c_c1) | (~node10(s68)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s68, c_c1) | (~node10(s68)))),
% 4.36/3.21 inference(rewrite,[status(thm)],[])).
% 4.36/3.21 tff(5816,plain,
% 4.36/3.21 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s68, c_c1) | (~node10(s68)))),
% 4.36/3.21 inference(quant_inst,[status(thm)],[])).
% 4.36/3.21 tff(5817,plain,
% 4.36/3.21 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s68, c_c1) | (~node10(s68))),
% 4.36/3.21 inference(modus_ponens,[status(thm)],[5816, 5815])).
% 4.36/3.21 tff(5818,plain,
% 4.36/3.21 (~node10(s68)),
% 4.36/3.21 inference(unit_resolution,[status(thm)],[5817, 675, 5814])).
% 4.36/3.21 tff(5819,plain,
% 4.36/3.21 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s68, c_n1) | (~node9(s68)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s68, c_n1) | (~node9(s68)))),
% 4.36/3.21 inference(rewrite,[status(thm)],[])).
% 4.36/3.21 tff(5820,plain,
% 4.36/3.21 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s68, c_n1) | (~node9(s68)))),
% 4.36/3.21 inference(quant_inst,[status(thm)],[])).
% 4.36/3.21 tff(5821,plain,
% 4.36/3.21 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s68, c_n1) | (~node9(s68))),
% 4.36/3.21 inference(modus_ponens,[status(thm)],[5820, 5819])).
% 4.36/3.21 tff(5822,plain,
% 4.36/3.21 (~node9(s68)),
% 4.36/3.21 inference(unit_resolution,[status(thm)],[5821, 686, 5806])).
% 4.36/3.21 tff(5823,plain,
% 4.36/3.21 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s68, c_n2)) | (~m_main_v_state2(s68, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s68, c_n2)) | (~m_main_v_state2(s68, c_c2)))),
% 4.36/3.21 inference(rewrite,[status(thm)],[])).
% 4.36/3.21 tff(5824,plain,
% 4.36/3.21 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s68, c_n2)) | (~m_main_v_state2(s68, c_c2)))),
% 4.36/3.21 inference(quant_inst,[status(thm)],[])).
% 4.36/3.21 tff(5825,plain,
% 4.36/3.21 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s68, c_n2)) | (~m_main_v_state2(s68, c_c2))),
% 4.36/3.21 inference(modus_ponens,[status(thm)],[5824, 5823])).
% 4.36/3.21 tff(5826,plain,
% 4.36/3.21 (~m_main_v_state2(s68, c_n2)),
% 4.36/3.21 inference(unit_resolution,[status(thm)],[5825, 697, 5785])).
% 4.36/3.21 tff(5827,plain,
% 4.36/3.21 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s68, c_n2) | (~node8(s68)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s68, c_n2) | (~node8(s68)))),
% 4.36/3.21 inference(rewrite,[status(thm)],[])).
% 4.36/3.21 tff(5828,plain,
% 4.36/3.21 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s68, c_n2) | (~node8(s68)))),
% 4.36/3.21 inference(quant_inst,[status(thm)],[])).
% 4.36/3.21 tff(5829,plain,
% 4.36/3.21 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s68, c_n2) | (~node8(s68))),
% 4.36/3.21 inference(modus_ponens,[status(thm)],[5828, 5827])).
% 4.36/3.21 tff(5830,plain,
% 4.36/3.21 (~node8(s68)),
% 4.36/3.21 inference(unit_resolution,[status(thm)],[5829, 271, 5826])).
% 4.36/3.21 tff(5831,plain,
% 4.36/3.21 (succ(s68, s69) <=> succ(s68, s69)),
% 4.36/3.21 inference(rewrite,[status(thm)],[])).
% 4.36/3.21 tff(5832,axiom,(succ(s68, s69)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound69')).
% 4.36/3.21 tff(5833,plain,
% 4.36/3.21 (succ(s68, s69)),
% 4.36/3.21 inference(modus_ponens,[status(thm)],[5832, 5831])).
% 4.36/3.21 tff(5834,plain,
% 4.36/3.21 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s68, s69)) | trans(s68, s69))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s68, s69)) | trans(s68, s69))),
% 4.36/3.21 inference(rewrite,[status(thm)],[])).
% 4.36/3.21 tff(5835,plain,
% 4.36/3.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s68, s69)) | trans(s68, s69))),
% 4.36/3.21 inference(quant_inst,[status(thm)],[])).
% 4.36/3.21 tff(5836,plain,
% 4.36/3.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s68, s69)) | trans(s68, s69)),
% 4.36/3.21 inference(modus_ponens,[status(thm)],[5835, 5834])).
% 4.36/3.21 tff(5837,plain,
% 4.36/3.21 (trans(s68, s69)),
% 4.36/3.21 inference(unit_resolution,[status(thm)],[5836, 5833, 32])).
% 4.36/3.21 tff(5838,plain,
% 4.36/3.21 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s68, s69)) | node14(s68, s69))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s68, s69)) | node14(s68, s69))),
% 4.36/3.21 inference(rewrite,[status(thm)],[])).
% 4.36/3.21 tff(5839,plain,
% 4.36/3.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s68, s69)) | node14(s68, s69))),
% 4.36/3.21 inference(quant_inst,[status(thm)],[])).
% 4.36/3.21 tff(5840,plain,
% 4.36/3.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s68, s69)) | node14(s68, s69)),
% 4.36/3.21 inference(modus_ponens,[status(thm)],[5839, 5838])).
% 4.36/3.21 tff(5841,plain,
% 4.36/3.21 (node14(s68, s69)),
% 4.36/3.21 inference(unit_resolution,[status(thm)],[5840, 46, 5837])).
% 4.36/3.21 tff(5842,plain,
% 4.36/3.21 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s69, c_n2) | node9(s68) | node8(s68) | node10(s68) | node11(s68) | node12(s68) | (~node14(s68, s69)) | (~m_main_v_state2(s68, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s69, c_n2) | node9(s68) | node8(s68) | node10(s68) | node11(s68) | node12(s68) | (~node14(s68, s69)) | (~m_main_v_state2(s68, c_c2)))),
% 4.36/3.21 inference(rewrite,[status(thm)],[])).
% 4.36/3.21 tff(5843,plain,
% 4.36/3.21 (((~m_main_v_state2(s68, c_c2)) | node9(s68) | node8(s68) | node10(s68) | node11(s68) | node12(s68) | (~node14(s68, s69)) | m_main_v_state2(s69, c_n2)) <=> (m_main_v_state2(s69, c_n2) | node9(s68) | node8(s68) | node10(s68) | node11(s68) | node12(s68) | (~node14(s68, s69)) | (~m_main_v_state2(s68, c_c2)))),
% 4.36/3.21 inference(rewrite,[status(thm)],[])).
% 4.36/3.21 tff(5844,plain,
% 4.36/3.21 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s68, c_c2)) | node9(s68) | node8(s68) | node10(s68) | node11(s68) | node12(s68) | (~node14(s68, s69)) | m_main_v_state2(s69, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s69, c_n2) | node9(s68) | node8(s68) | node10(s68) | node11(s68) | node12(s68) | (~node14(s68, s69)) | (~m_main_v_state2(s68, c_c2))))),
% 4.36/3.21 inference(monotonicity,[status(thm)],[5843])).
% 4.36/3.21 tff(5845,plain,
% 4.36/3.21 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s68, c_c2)) | node9(s68) | node8(s68) | node10(s68) | node11(s68) | node12(s68) | (~node14(s68, s69)) | m_main_v_state2(s69, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s69, c_n2) | node9(s68) | node8(s68) | node10(s68) | node11(s68) | node12(s68) | (~node14(s68, s69)) | (~m_main_v_state2(s68, c_c2)))),
% 4.36/3.21 inference(transitivity,[status(thm)],[5844, 5842])).
% 4.36/3.21 tff(5846,plain,
% 4.36/3.21 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s68, c_c2)) | node9(s68) | node8(s68) | node10(s68) | node11(s68) | node12(s68) | (~node14(s68, s69)) | m_main_v_state2(s69, c_n2))),
% 4.36/3.21 inference(quant_inst,[status(thm)],[])).
% 4.36/3.21 tff(5847,plain,
% 4.36/3.21 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s69, c_n2) | node9(s68) | node8(s68) | node10(s68) | node11(s68) | node12(s68) | (~node14(s68, s69)) | (~m_main_v_state2(s68, c_c2))),
% 4.36/3.21 inference(modus_ponens,[status(thm)],[5846, 5845])).
% 4.36/3.21 tff(5848,plain,
% 4.36/3.21 (m_main_v_state2(s69, c_n2) | node9(s68) | node8(s68) | node10(s68) | node11(s68) | node12(s68) | (~m_main_v_state2(s68, c_c2))),
% 4.36/3.21 inference(unit_resolution,[status(thm)],[5847, 726, 5841])).
% 4.36/3.21 tff(5849,plain,
% 4.36/3.21 (m_main_v_state2(s69, c_n2)),
% 4.36/3.21 inference(unit_resolution,[status(thm)],[5848, 5830, 5785, 5822, 5818, 5810, 5793])).
% 4.36/3.21 tff(5850,plain,
% 4.36/3.21 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s69, c_n2)) | (~m_main_v_state2(s69, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s69, c_n2)) | (~m_main_v_state2(s69, c_c2)))),
% 4.36/3.21 inference(rewrite,[status(thm)],[])).
% 4.36/3.21 tff(5851,plain,
% 4.36/3.21 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s69, c_n2)) | (~m_main_v_state2(s69, c_c2)))),
% 4.36/3.21 inference(quant_inst,[status(thm)],[])).
% 4.36/3.21 tff(5852,plain,
% 4.36/3.21 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s69, c_n2)) | (~m_main_v_state2(s69, c_c2))),
% 4.36/3.21 inference(modus_ponens,[status(thm)],[5851, 5850])).
% 4.36/3.21 tff(5853,plain,
% 4.36/3.21 (~m_main_v_state2(s69, c_c2)),
% 4.36/3.21 inference(unit_resolution,[status(thm)],[5852, 697, 5849])).
% 4.36/3.21 tff(5854,plain,
% 4.36/3.21 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s69, c_c2) | (~node3(s69)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s69, c_c2) | (~node3(s69)))),
% 4.36/3.21 inference(rewrite,[status(thm)],[])).
% 4.36/3.21 tff(5855,plain,
% 4.36/3.21 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s69, c_c2) | (~node3(s69)))),
% 4.36/3.21 inference(quant_inst,[status(thm)],[])).
% 4.36/3.21 tff(5856,plain,
% 4.36/3.21 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s69, c_c2) | (~node3(s69))),
% 4.36/3.21 inference(modus_ponens,[status(thm)],[5855, 5854])).
% 4.36/3.21 tff(5857,plain,
% 4.36/3.21 (~node3(s69)),
% 4.36/3.21 inference(unit_resolution,[status(thm)],[5856, 399, 5853])).
% 4.36/3.21 tff(5858,plain,
% 4.36/3.21 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s68, c_n1) | (~node1(s68)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s68, c_n1) | (~node1(s68)))),
% 4.36/3.21 inference(rewrite,[status(thm)],[])).
% 4.36/3.21 tff(5859,plain,
% 4.36/3.21 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s68, c_n1) | (~node1(s68)))),
% 4.36/3.21 inference(quant_inst,[status(thm)],[])).
% 4.36/3.21 tff(5860,plain,
% 4.36/3.21 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s68, c_n1) | (~node1(s68))),
% 4.36/3.21 inference(modus_ponens,[status(thm)],[5859, 5858])).
% 4.36/3.21 tff(5861,plain,
% 4.36/3.21 (~node1(s68)),
% 4.36/3.21 inference(unit_resolution,[status(thm)],[5860, 421, 5806])).
% 4.36/3.21 tff(5862,plain,
% 4.36/3.21 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s67, s68)) | node18(s67, s68))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s67, s68)) | node18(s67, s68))),
% 4.36/3.21 inference(rewrite,[status(thm)],[])).
% 4.36/3.21 tff(5863,plain,
% 4.36/3.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s67, s68)) | node18(s67, s68))),
% 4.36/3.21 inference(quant_inst,[status(thm)],[])).
% 4.36/3.21 tff(5864,plain,
% 4.36/3.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s67, s68)) | node18(s67, s68)),
% 4.36/3.21 inference(modus_ponens,[status(thm)],[5863, 5862])).
% 4.36/3.21 tff(5865,plain,
% 4.36/3.21 (node18(s67, s68)),
% 4.36/3.21 inference(unit_resolution,[status(thm)],[5864, 125, 5776])).
% 4.36/3.21 tff(5866,plain,
% 4.36/3.21 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s67, c_n1)) | (~m_main_v_state2(s67, c_t2)) | (~node18(s67, s68)) | m_main_v_turn(s68, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s67, c_n1)) | (~m_main_v_state2(s67, c_t2)) | (~node18(s67, s68)) | m_main_v_turn(s68, c_2))),
% 4.36/3.21 inference(rewrite,[status(thm)],[])).
% 4.36/3.21 tff(5867,plain,
% 4.36/3.21 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s67, c_n1)) | (~m_main_v_state2(s67, c_t2)) | (~node18(s67, s68)) | m_main_v_turn(s68, c_2))),
% 4.36/3.22 inference(quant_inst,[status(thm)],[])).
% 4.36/3.22 tff(5868,plain,
% 4.36/3.22 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s67, c_n1)) | (~m_main_v_state2(s67, c_t2)) | (~node18(s67, s68)) | m_main_v_turn(s68, c_2)),
% 4.36/3.22 inference(modus_ponens,[status(thm)],[5867, 5866])).
% 4.36/3.22 tff(5869,plain,
% 4.36/3.22 ((~m_main_v_state1(s67, c_n1)) | (~m_main_v_state2(s67, c_t2)) | m_main_v_turn(s68, c_2)),
% 4.36/3.22 inference(unit_resolution,[status(thm)],[5868, 760, 5865])).
% 4.36/3.22 tff(5870,plain,
% 4.36/3.22 (m_main_v_turn(s68, c_2)),
% 4.36/3.22 inference(unit_resolution,[status(thm)],[5869, 5729, 5765])).
% 4.36/3.22 tff(5871,plain,
% 4.36/3.22 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s68, c_1)) | (~m_main_v_turn(s68, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s68, c_1)) | (~m_main_v_turn(s68, c_2)))),
% 4.36/3.22 inference(rewrite,[status(thm)],[])).
% 4.36/3.22 tff(5872,plain,
% 4.36/3.22 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s68, c_1)) | (~m_main_v_turn(s68, c_2)))),
% 4.36/3.22 inference(quant_inst,[status(thm)],[])).
% 4.36/3.22 tff(5873,plain,
% 4.36/3.22 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s68, c_1)) | (~m_main_v_turn(s68, c_2))),
% 4.36/3.22 inference(modus_ponens,[status(thm)],[5872, 5871])).
% 4.36/3.22 tff(5874,plain,
% 4.36/3.22 (~m_main_v_turn(s68, c_1)),
% 4.36/3.22 inference(unit_resolution,[status(thm)],[5873, 156, 5870])).
% 4.36/3.22 tff(5875,plain,
% 4.36/3.22 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s68, c_1) | (~node5(s68)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s68, c_1) | (~node5(s68)))),
% 4.36/3.22 inference(rewrite,[status(thm)],[])).
% 4.36/3.22 tff(5876,plain,
% 4.36/3.22 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s68, c_1) | (~node5(s68)))),
% 4.36/3.22 inference(quant_inst,[status(thm)],[])).
% 4.36/3.22 tff(5877,plain,
% 4.36/3.22 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s68, c_1) | (~node5(s68))),
% 4.36/3.22 inference(modus_ponens,[status(thm)],[5876, 5875])).
% 4.36/3.22 tff(5878,plain,
% 4.36/3.22 (~node5(s68)),
% 4.36/3.22 inference(unit_resolution,[status(thm)],[5877, 776, 5874])).
% 4.36/3.22 tff(5879,plain,
% 4.36/3.22 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s68, c_n1) | (~node2(s68)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s68, c_n1) | (~node2(s68)))),
% 4.36/3.22 inference(rewrite,[status(thm)],[])).
% 4.36/3.22 tff(5880,plain,
% 4.36/3.22 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s68, c_n1) | (~node2(s68)))),
% 4.36/3.22 inference(quant_inst,[status(thm)],[])).
% 4.36/3.22 tff(5881,plain,
% 4.36/3.22 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s68, c_n1) | (~node2(s68))),
% 4.36/3.22 inference(modus_ponens,[status(thm)],[5880, 5879])).
% 4.36/3.22 tff(5882,plain,
% 4.36/3.22 (~node2(s68)),
% 4.36/3.22 inference(unit_resolution,[status(thm)],[5881, 787, 5806])).
% 4.36/3.22 tff(5883,plain,
% 4.36/3.22 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s68, c_n1) | (~node3(s68)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s68, c_n1) | (~node3(s68)))),
% 4.36/3.22 inference(rewrite,[status(thm)],[])).
% 4.36/3.22 tff(5884,plain,
% 4.36/3.22 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s68, c_n1) | (~node3(s68)))),
% 4.36/3.22 inference(quant_inst,[status(thm)],[])).
% 4.36/3.22 tff(5885,plain,
% 4.36/3.22 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s68, c_n1) | (~node3(s68))),
% 4.36/3.22 inference(modus_ponens,[status(thm)],[5884, 5883])).
% 4.36/3.22 tff(5886,plain,
% 4.36/3.22 (~node3(s68)),
% 4.36/3.22 inference(unit_resolution,[status(thm)],[5885, 798, 5806])).
% 4.36/3.22 tff(5887,plain,
% 4.36/3.22 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s68, c_n2) | (~node4(s68)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s68, c_n2) | (~node4(s68)))),
% 4.36/3.22 inference(rewrite,[status(thm)],[])).
% 4.36/3.22 tff(5888,plain,
% 4.36/3.22 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s68, c_n2) | (~node4(s68)))),
% 4.36/3.22 inference(quant_inst,[status(thm)],[])).
% 4.36/3.22 tff(5889,plain,
% 4.36/3.22 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s68, c_n2) | (~node4(s68))),
% 4.36/3.22 inference(modus_ponens,[status(thm)],[5888, 5887])).
% 4.36/3.22 tff(5890,plain,
% 4.36/3.22 (~node4(s68)),
% 4.36/3.22 inference(unit_resolution,[status(thm)],[5889, 388, 5826])).
% 4.36/3.22 tff(5891,plain,
% 4.36/3.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s68, s69)) | node7(s68, s69))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s68, s69)) | node7(s68, s69))),
% 4.36/3.22 inference(rewrite,[status(thm)],[])).
% 4.36/3.22 tff(5892,plain,
% 4.36/3.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s68, s69)) | node7(s68, s69))),
% 4.36/3.22 inference(quant_inst,[status(thm)],[])).
% 4.36/3.22 tff(5893,plain,
% 4.36/3.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s68, s69)) | node7(s68, s69)),
% 4.36/3.22 inference(modus_ponens,[status(thm)],[5892, 5891])).
% 4.36/3.22 tff(5894,plain,
% 4.36/3.22 (node7(s68, s69)),
% 4.36/3.22 inference(unit_resolution,[status(thm)],[5893, 206, 5837])).
% 4.36/3.22 tff(5895,plain,
% 4.36/3.22 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s68, c_c1) | node1(s68) | node2(s68) | node3(s68) | node4(s68) | node5(s68) | node6(s68, s69) | (~node7(s68, s69)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s68, c_c1) | node1(s68) | node2(s68) | node3(s68) | node4(s68) | node5(s68) | node6(s68, s69) | (~node7(s68, s69)))),
% 4.36/3.22 inference(rewrite,[status(thm)],[])).
% 4.36/3.22 tff(5896,plain,
% 4.36/3.22 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s68, c_c1) | node1(s68) | node2(s68) | node3(s68) | node4(s68) | node5(s68) | node6(s68, s69) | (~node7(s68, s69)))),
% 4.36/3.22 inference(quant_inst,[status(thm)],[])).
% 4.36/3.22 tff(5897,plain,
% 4.36/3.22 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s68, c_c1) | node1(s68) | node2(s68) | node3(s68) | node4(s68) | node5(s68) | node6(s68, s69) | (~node7(s68, s69))),
% 4.36/3.22 inference(modus_ponens,[status(thm)],[5896, 5895])).
% 4.36/3.22 tff(5898,plain,
% 4.36/3.22 (m_main_v_state1(s68, c_c1) | node1(s68) | node2(s68) | node3(s68) | node4(s68) | node5(s68) | node6(s68, s69)),
% 4.36/3.22 inference(unit_resolution,[status(thm)],[5897, 820, 5894])).
% 4.36/3.22 tff(5899,plain,
% 4.36/3.22 (node6(s68, s69)),
% 4.36/3.22 inference(unit_resolution,[status(thm)],[5898, 5890, 5814, 5886, 5882, 5878, 5861])).
% 4.36/3.22 tff(5900,plain,
% 4.36/3.22 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s68, c_n1) | (~m_main_v_state1(s69, c_n1)) | (~node6(s68, s69)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s68, c_n1) | (~m_main_v_state1(s69, c_n1)) | (~node6(s68, s69)))),
% 4.36/3.22 inference(rewrite,[status(thm)],[])).
% 4.36/3.22 tff(5901,plain,
% 4.36/3.22 (((~node6(s68, s69)) | m_main_v_state1(s68, c_n1) | (~m_main_v_state1(s69, c_n1))) <=> (m_main_v_state1(s68, c_n1) | (~m_main_v_state1(s69, c_n1)) | (~node6(s68, s69)))),
% 4.36/3.22 inference(rewrite,[status(thm)],[])).
% 4.36/3.22 tff(5902,plain,
% 4.36/3.22 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s68, s69)) | m_main_v_state1(s68, c_n1) | (~m_main_v_state1(s69, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s68, c_n1) | (~m_main_v_state1(s69, c_n1)) | (~node6(s68, s69))))),
% 4.36/3.22 inference(monotonicity,[status(thm)],[5901])).
% 4.36/3.22 tff(5903,plain,
% 4.36/3.22 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s68, s69)) | m_main_v_state1(s68, c_n1) | (~m_main_v_state1(s69, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s68, c_n1) | (~m_main_v_state1(s69, c_n1)) | (~node6(s68, s69)))),
% 4.36/3.22 inference(transitivity,[status(thm)],[5902, 5900])).
% 4.36/3.22 tff(5904,plain,
% 4.36/3.22 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s68, s69)) | m_main_v_state1(s68, c_n1) | (~m_main_v_state1(s69, c_n1)))),
% 4.36/3.22 inference(quant_inst,[status(thm)],[])).
% 4.36/3.22 tff(5905,plain,
% 4.36/3.22 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s68, c_n1) | (~m_main_v_state1(s69, c_n1)) | (~node6(s68, s69))),
% 4.36/3.22 inference(modus_ponens,[status(thm)],[5904, 5903])).
% 4.36/3.22 tff(5906,plain,
% 4.36/3.22 (~m_main_v_state1(s69, c_n1)),
% 4.36/3.22 inference(unit_resolution,[status(thm)],[5905, 835, 5806, 5899])).
% 4.36/3.22 tff(5907,plain,
% 4.36/3.22 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s69, c_n1) | (~node2(s69)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s69, c_n1) | (~node2(s69)))),
% 4.36/3.22 inference(rewrite,[status(thm)],[])).
% 4.36/3.22 tff(5908,plain,
% 4.36/3.22 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s69, c_n1) | (~node2(s69)))),
% 4.36/3.22 inference(quant_inst,[status(thm)],[])).
% 4.36/3.22 tff(5909,plain,
% 4.36/3.22 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s69, c_n1) | (~node2(s69))),
% 4.36/3.22 inference(modus_ponens,[status(thm)],[5908, 5907])).
% 4.36/3.22 tff(5910,plain,
% 4.36/3.22 (~node2(s69)),
% 4.36/3.22 inference(unit_resolution,[status(thm)],[5909, 787, 5906])).
% 4.36/3.22 tff(5911,plain,
% 4.36/3.22 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s68, c_t1)) | m_main_v_state1(s69, c_t1) | (~node6(s68, s69)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s68, c_t1)) | m_main_v_state1(s69, c_t1) | (~node6(s68, s69)))),
% 4.36/3.22 inference(rewrite,[status(thm)],[])).
% 4.36/3.22 tff(5912,plain,
% 4.36/3.22 (((~node6(s68, s69)) | (~m_main_v_state1(s68, c_t1)) | m_main_v_state1(s69, c_t1)) <=> ((~m_main_v_state1(s68, c_t1)) | m_main_v_state1(s69, c_t1) | (~node6(s68, s69)))),
% 4.36/3.22 inference(rewrite,[status(thm)],[])).
% 4.36/3.22 tff(5913,plain,
% 4.36/3.22 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s68, s69)) | (~m_main_v_state1(s68, c_t1)) | m_main_v_state1(s69, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s68, c_t1)) | m_main_v_state1(s69, c_t1) | (~node6(s68, s69))))),
% 4.36/3.22 inference(monotonicity,[status(thm)],[5912])).
% 4.36/3.22 tff(5914,plain,
% 4.36/3.22 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s68, s69)) | (~m_main_v_state1(s68, c_t1)) | m_main_v_state1(s69, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s68, c_t1)) | m_main_v_state1(s69, c_t1) | (~node6(s68, s69)))),
% 4.36/3.22 inference(transitivity,[status(thm)],[5913, 5911])).
% 4.36/3.22 tff(5915,plain,
% 4.36/3.22 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s68, s69)) | (~m_main_v_state1(s68, c_t1)) | m_main_v_state1(s69, c_t1))),
% 4.36/3.22 inference(quant_inst,[status(thm)],[])).
% 4.36/3.22 tff(5916,plain,
% 4.36/3.22 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s68, c_t1)) | m_main_v_state1(s69, c_t1) | (~node6(s68, s69))),
% 4.36/3.22 inference(modus_ponens,[status(thm)],[5915, 5914])).
% 4.36/3.22 tff(5917,plain,
% 4.36/3.22 (m_main_v_state1(s69, c_t1)),
% 4.36/3.22 inference(unit_resolution,[status(thm)],[5916, 856, 5802, 5899])).
% 4.36/3.22 tff(5918,plain,
% 4.36/3.22 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s69, c_n2)) | (~m_main_v_state2(s69, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s69, c_n2)) | (~m_main_v_state2(s69, c_t2)))),
% 4.36/3.22 inference(rewrite,[status(thm)],[])).
% 4.36/3.22 tff(5919,plain,
% 4.36/3.22 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s69, c_n2)) | (~m_main_v_state2(s69, c_t2)))),
% 4.36/3.22 inference(quant_inst,[status(thm)],[])).
% 4.36/3.22 tff(5920,plain,
% 4.36/3.22 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s69, c_n2)) | (~m_main_v_state2(s69, c_t2))),
% 4.36/3.22 inference(modus_ponens,[status(thm)],[5919, 5918])).
% 4.36/3.22 tff(5921,plain,
% 4.36/3.22 (~m_main_v_state2(s69, c_t2)),
% 4.36/3.22 inference(unit_resolution,[status(thm)],[5920, 77, 5849])).
% 4.36/3.22 tff(5922,plain,
% 4.36/3.22 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s69, c_t2) | (~node1(s69)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s69, c_t2) | (~node1(s69)))),
% 4.36/3.22 inference(rewrite,[status(thm)],[])).
% 4.36/3.22 tff(5923,plain,
% 4.36/3.22 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s69, c_t2) | (~node1(s69)))),
% 4.36/3.22 inference(quant_inst,[status(thm)],[])).
% 4.36/3.22 tff(5924,plain,
% 4.36/3.22 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s69, c_t2) | (~node1(s69))),
% 4.36/3.22 inference(modus_ponens,[status(thm)],[5923, 5922])).
% 4.36/3.22 tff(5925,plain,
% 4.36/3.22 (~node1(s69)),
% 4.36/3.22 inference(unit_resolution,[status(thm)],[5924, 195, 5921])).
% 4.36/3.22 tff(5926,plain,
% 4.36/3.22 (succ(s69, s70) <=> succ(s69, s70)),
% 4.36/3.22 inference(rewrite,[status(thm)],[])).
% 4.36/3.22 tff(5927,axiom,(succ(s69, s70)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound70')).
% 4.36/3.22 tff(5928,plain,
% 4.36/3.22 (succ(s69, s70)),
% 4.36/3.22 inference(modus_ponens,[status(thm)],[5927, 5926])).
% 4.36/3.22 tff(5929,plain,
% 4.36/3.22 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s69, s70)) | trans(s69, s70))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s69, s70)) | trans(s69, s70))),
% 4.36/3.22 inference(rewrite,[status(thm)],[])).
% 4.36/3.22 tff(5930,plain,
% 4.36/3.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s69, s70)) | trans(s69, s70))),
% 4.36/3.22 inference(quant_inst,[status(thm)],[])).
% 4.36/3.22 tff(5931,plain,
% 4.36/3.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s69, s70)) | trans(s69, s70)),
% 4.36/3.22 inference(modus_ponens,[status(thm)],[5930, 5929])).
% 4.36/3.22 tff(5932,plain,
% 4.36/3.22 (trans(s69, s70)),
% 4.36/3.22 inference(unit_resolution,[status(thm)],[5931, 5928, 32])).
% 4.36/3.22 tff(5933,plain,
% 4.36/3.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s69, s70)) | node7(s69, s70))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s69, s70)) | node7(s69, s70))),
% 4.36/3.22 inference(rewrite,[status(thm)],[])).
% 4.36/3.22 tff(5934,plain,
% 4.36/3.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s69, s70)) | node7(s69, s70))),
% 4.36/3.22 inference(quant_inst,[status(thm)],[])).
% 4.36/3.22 tff(5935,plain,
% 4.36/3.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s69, s70)) | node7(s69, s70)),
% 4.36/3.22 inference(modus_ponens,[status(thm)],[5934, 5933])).
% 4.36/3.22 tff(5936,plain,
% 4.36/3.22 (node7(s69, s70)),
% 4.36/3.22 inference(unit_resolution,[status(thm)],[5935, 206, 5932])).
% 4.36/3.22 tff(5937,plain,
% 4.36/3.22 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s69, c_t1)) | (~m_main_v_state2(s69, c_n2)) | m_main_v_state1(s70, c_c1) | node1(s69) | node2(s69) | node3(s69) | (~node7(s69, s70)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s69, c_t1)) | (~m_main_v_state2(s69, c_n2)) | m_main_v_state1(s70, c_c1) | node1(s69) | node2(s69) | node3(s69) | (~node7(s69, s70)))),
% 4.36/3.22 inference(rewrite,[status(thm)],[])).
% 4.36/3.22 tff(5938,plain,
% 4.36/3.22 (((~m_main_v_state1(s69, c_t1)) | (~m_main_v_state2(s69, c_n2)) | node1(s69) | node2(s69) | node3(s69) | (~node7(s69, s70)) | m_main_v_state1(s70, c_c1)) <=> ((~m_main_v_state1(s69, c_t1)) | (~m_main_v_state2(s69, c_n2)) | m_main_v_state1(s70, c_c1) | node1(s69) | node2(s69) | node3(s69) | (~node7(s69, s70)))),
% 4.36/3.22 inference(rewrite,[status(thm)],[])).
% 4.36/3.22 tff(5939,plain,
% 4.36/3.22 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s69, c_t1)) | (~m_main_v_state2(s69, c_n2)) | node1(s69) | node2(s69) | node3(s69) | (~node7(s69, s70)) | m_main_v_state1(s70, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s69, c_t1)) | (~m_main_v_state2(s69, c_n2)) | m_main_v_state1(s70, c_c1) | node1(s69) | node2(s69) | node3(s69) | (~node7(s69, s70))))),
% 4.36/3.22 inference(monotonicity,[status(thm)],[5938])).
% 4.36/3.22 tff(5940,plain,
% 4.36/3.22 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s69, c_t1)) | (~m_main_v_state2(s69, c_n2)) | node1(s69) | node2(s69) | node3(s69) | (~node7(s69, s70)) | m_main_v_state1(s70, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s69, c_t1)) | (~m_main_v_state2(s69, c_n2)) | m_main_v_state1(s70, c_c1) | node1(s69) | node2(s69) | node3(s69) | (~node7(s69, s70)))),
% 4.36/3.22 inference(transitivity,[status(thm)],[5939, 5937])).
% 4.36/3.22 tff(5941,plain,
% 4.36/3.22 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s69, c_t1)) | (~m_main_v_state2(s69, c_n2)) | node1(s69) | node2(s69) | node3(s69) | (~node7(s69, s70)) | m_main_v_state1(s70, c_c1))),
% 4.36/3.22 inference(quant_inst,[status(thm)],[])).
% 4.36/3.22 tff(5942,plain,
% 4.36/3.22 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s69, c_t1)) | (~m_main_v_state2(s69, c_n2)) | m_main_v_state1(s70, c_c1) | node1(s69) | node2(s69) | node3(s69) | (~node7(s69, s70))),
% 4.36/3.22 inference(modus_ponens,[status(thm)],[5941, 5940])).
% 4.36/3.22 tff(5943,plain,
% 4.36/3.22 ((~m_main_v_state1(s69, c_t1)) | (~m_main_v_state2(s69, c_n2)) | m_main_v_state1(s70, c_c1) | node1(s69) | node2(s69) | node3(s69)),
% 4.36/3.22 inference(unit_resolution,[status(thm)],[5942, 892, 5936])).
% 4.36/3.22 tff(5944,plain,
% 4.36/3.22 (m_main_v_state1(s70, c_c1)),
% 4.36/3.22 inference(unit_resolution,[status(thm)],[5943, 5925, 5849, 5917, 5910, 5857])).
% 4.36/3.22 tff(5945,plain,
% 4.36/3.22 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s70, c_t1)) | (~m_main_v_state1(s70, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s70, c_t1)) | (~m_main_v_state1(s70, c_c1)))),
% 4.36/3.22 inference(rewrite,[status(thm)],[])).
% 4.36/3.22 tff(5946,plain,
% 4.36/3.22 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s70, c_t1)) | (~m_main_v_state1(s70, c_c1)))),
% 4.36/3.22 inference(quant_inst,[status(thm)],[])).
% 4.36/3.22 tff(5947,plain,
% 4.36/3.22 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s70, c_t1)) | (~m_main_v_state1(s70, c_c1))),
% 4.36/3.22 inference(modus_ponens,[status(thm)],[5946, 5945])).
% 4.36/3.22 tff(5948,plain,
% 4.36/3.22 (~m_main_v_state1(s70, c_t1)),
% 4.36/3.22 inference(unit_resolution,[status(thm)],[5947, 539, 5944])).
% 4.36/3.22 tff(5949,plain,
% 4.36/3.22 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s70, c_t1) | (~node5(s70)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s70, c_t1) | (~node5(s70)))),
% 4.36/3.22 inference(rewrite,[status(thm)],[])).
% 4.36/3.22 tff(5950,plain,
% 4.36/3.22 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s70, c_t1) | (~node5(s70)))),
% 4.36/3.22 inference(quant_inst,[status(thm)],[])).
% 4.36/3.22 tff(5951,plain,
% 4.36/3.22 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s70, c_t1) | (~node5(s70))),
% 4.36/3.22 inference(modus_ponens,[status(thm)],[5950, 5949])).
% 4.36/3.22 tff(5952,plain,
% 4.36/3.22 (~node5(s70)),
% 4.36/3.22 inference(unit_resolution,[status(thm)],[5951, 550, 5948])).
% 4.36/3.22 tff(5953,plain,
% 4.36/3.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s69, s70)) | node14(s69, s70))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s69, s70)) | node14(s69, s70))),
% 4.36/3.22 inference(rewrite,[status(thm)],[])).
% 4.36/3.22 tff(5954,plain,
% 4.36/3.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s69, s70)) | node14(s69, s70))),
% 4.36/3.22 inference(quant_inst,[status(thm)],[])).
% 4.36/3.22 tff(5955,plain,
% 4.36/3.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s69, s70)) | node14(s69, s70)),
% 4.36/3.22 inference(modus_ponens,[status(thm)],[5954, 5953])).
% 4.36/3.22 tff(5956,plain,
% 4.36/3.22 (node14(s69, s70)),
% 4.36/3.22 inference(unit_resolution,[status(thm)],[5955, 46, 5932])).
% 4.36/3.22 tff(5957,plain,
% 4.36/3.22 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s69, c_t1)) | (~m_main_v_state2(s69, c_n2)) | (~node14(s69, s70)) | m_main_v_state2(s70, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s69, c_t1)) | (~m_main_v_state2(s69, c_n2)) | (~node14(s69, s70)) | m_main_v_state2(s70, c_t2))),
% 4.36/3.22 inference(rewrite,[status(thm)],[])).
% 4.36/3.22 tff(5958,plain,
% 4.36/3.22 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s69, c_t1)) | (~m_main_v_state2(s69, c_n2)) | (~node14(s69, s70)) | m_main_v_state2(s70, c_t2))),
% 4.36/3.22 inference(quant_inst,[status(thm)],[])).
% 4.36/3.22 tff(5959,plain,
% 4.36/3.22 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s69, c_t1)) | (~m_main_v_state2(s69, c_n2)) | (~node14(s69, s70)) | m_main_v_state2(s70, c_t2)),
% 4.36/3.22 inference(modus_ponens,[status(thm)],[5958, 5957])).
% 4.36/3.22 tff(5960,plain,
% 4.36/3.22 ((~m_main_v_state1(s69, c_t1)) | (~m_main_v_state2(s69, c_n2)) | m_main_v_state2(s70, c_t2)),
% 4.36/3.22 inference(unit_resolution,[status(thm)],[5959, 922, 5956])).
% 4.36/3.22 tff(5961,plain,
% 4.36/3.22 (m_main_v_state2(s70, c_t2)),
% 4.36/3.22 inference(unit_resolution,[status(thm)],[5960, 5917, 5849])).
% 4.36/3.22 tff(5962,plain,
% 4.36/3.22 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s70, c_n2)) | (~m_main_v_state2(s70, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s70, c_n2)) | (~m_main_v_state2(s70, c_t2)))),
% 4.36/3.22 inference(rewrite,[status(thm)],[])).
% 4.36/3.22 tff(5963,plain,
% 4.36/3.22 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s70, c_n2)) | (~m_main_v_state2(s70, c_t2)))),
% 4.36/3.22 inference(quant_inst,[status(thm)],[])).
% 4.36/3.22 tff(5964,plain,
% 4.36/3.22 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s70, c_n2)) | (~m_main_v_state2(s70, c_t2))),
% 4.36/3.22 inference(modus_ponens,[status(thm)],[5963, 5962])).
% 4.36/3.22 tff(5965,plain,
% 4.36/3.22 (~m_main_v_state2(s70, c_n2)),
% 4.36/3.22 inference(unit_resolution,[status(thm)],[5964, 77, 5961])).
% 4.36/3.22 tff(5966,plain,
% 4.36/3.22 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s70, c_n2) | (~node4(s70)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s70, c_n2) | (~node4(s70)))),
% 4.36/3.22 inference(rewrite,[status(thm)],[])).
% 4.36/3.22 tff(5967,plain,
% 4.36/3.22 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s70, c_n2) | (~node4(s70)))),
% 4.36/3.22 inference(quant_inst,[status(thm)],[])).
% 4.36/3.22 tff(5968,plain,
% 4.36/3.22 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s70, c_n2) | (~node4(s70))),
% 4.36/3.22 inference(modus_ponens,[status(thm)],[5967, 5966])).
% 4.36/3.22 tff(5969,plain,
% 4.36/3.22 (~node4(s70)),
% 4.36/3.22 inference(unit_resolution,[status(thm)],[5968, 388, 5965])).
% 4.36/3.22 tff(5970,plain,
% 4.36/3.22 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s70, c_t2)) | (~m_main_v_state2(s70, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s70, c_t2)) | (~m_main_v_state2(s70, c_c2)))),
% 4.36/3.22 inference(rewrite,[status(thm)],[])).
% 4.36/3.22 tff(5971,plain,
% 4.36/3.22 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s70, c_t2)) | (~m_main_v_state2(s70, c_c2)))),
% 4.36/3.22 inference(quant_inst,[status(thm)],[])).
% 4.36/3.22 tff(5972,plain,
% 4.36/3.22 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s70, c_t2)) | (~m_main_v_state2(s70, c_c2))),
% 4.36/3.22 inference(modus_ponens,[status(thm)],[5971, 5970])).
% 4.36/3.22 tff(5973,plain,
% 4.36/3.22 (~m_main_v_state2(s70, c_c2)),
% 4.36/3.22 inference(unit_resolution,[status(thm)],[5972, 260, 5961])).
% 4.36/3.22 tff(5974,plain,
% 4.36/3.22 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s70, c_c2) | (~node3(s70)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s70, c_c2) | (~node3(s70)))),
% 4.36/3.22 inference(rewrite,[status(thm)],[])).
% 4.36/3.22 tff(5975,plain,
% 4.36/3.22 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s70, c_c2) | (~node3(s70)))),
% 4.36/3.22 inference(quant_inst,[status(thm)],[])).
% 4.36/3.22 tff(5976,plain,
% 4.36/3.22 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s70, c_c2) | (~node3(s70))),
% 4.36/3.22 inference(modus_ponens,[status(thm)],[5975, 5974])).
% 4.36/3.22 tff(5977,plain,
% 4.36/3.22 (~node3(s70)),
% 4.36/3.22 inference(unit_resolution,[status(thm)],[5976, 399, 5973])).
% 4.36/3.22 tff(5978,plain,
% 4.36/3.22 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s70, c_n2) | (~node2(s70)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s70, c_n2) | (~node2(s70)))),
% 4.36/3.22 inference(rewrite,[status(thm)],[])).
% 4.36/3.22 tff(5979,plain,
% 4.36/3.22 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s70, c_n2) | (~node2(s70)))),
% 4.36/3.22 inference(quant_inst,[status(thm)],[])).
% 4.36/3.22 tff(5980,plain,
% 4.36/3.22 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s70, c_n2) | (~node2(s70))),
% 4.36/3.22 inference(modus_ponens,[status(thm)],[5979, 5978])).
% 4.36/3.22 tff(5981,plain,
% 4.36/3.22 (~node2(s70)),
% 4.36/3.22 inference(unit_resolution,[status(thm)],[5980, 410, 5965])).
% 4.36/3.22 tff(5982,plain,
% 4.36/3.22 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s70, c_n1)) | (~m_main_v_state1(s70, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s70, c_n1)) | (~m_main_v_state1(s70, c_c1)))),
% 4.36/3.22 inference(rewrite,[status(thm)],[])).
% 4.36/3.22 tff(5983,plain,
% 4.36/3.22 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s70, c_n1)) | (~m_main_v_state1(s70, c_c1)))),
% 4.36/3.22 inference(quant_inst,[status(thm)],[])).
% 4.36/3.22 tff(5984,plain,
% 4.36/3.22 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s70, c_n1)) | (~m_main_v_state1(s70, c_c1))),
% 4.36/3.22 inference(modus_ponens,[status(thm)],[5983, 5982])).
% 4.36/3.22 tff(5985,plain,
% 4.36/3.22 (~m_main_v_state1(s70, c_n1)),
% 4.36/3.22 inference(unit_resolution,[status(thm)],[5984, 454, 5944])).
% 4.36/3.22 tff(5986,plain,
% 4.36/3.22 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s70, c_n1) | (~node1(s70)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s70, c_n1) | (~node1(s70)))),
% 4.36/3.22 inference(rewrite,[status(thm)],[])).
% 4.36/3.22 tff(5987,plain,
% 4.36/3.22 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s70, c_n1) | (~node1(s70)))),
% 4.36/3.22 inference(quant_inst,[status(thm)],[])).
% 4.36/3.22 tff(5988,plain,
% 4.36/3.22 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s70, c_n1) | (~node1(s70))),
% 4.36/3.22 inference(modus_ponens,[status(thm)],[5987, 5986])).
% 4.36/3.22 tff(5989,plain,
% 4.36/3.22 (~node1(s70)),
% 4.36/3.22 inference(unit_resolution,[status(thm)],[5988, 421, 5985])).
% 4.36/3.22 tff(5990,plain,
% 4.36/3.22 (succ(s70, s71) <=> succ(s70, s71)),
% 4.36/3.22 inference(rewrite,[status(thm)],[])).
% 4.36/3.22 tff(5991,axiom,(succ(s70, s71)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound71')).
% 4.36/3.22 tff(5992,plain,
% 4.36/3.22 (succ(s70, s71)),
% 4.36/3.22 inference(modus_ponens,[status(thm)],[5991, 5990])).
% 4.36/3.22 tff(5993,plain,
% 4.36/3.22 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s70, s71)) | trans(s70, s71))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s70, s71)) | trans(s70, s71))),
% 4.36/3.22 inference(rewrite,[status(thm)],[])).
% 4.36/3.22 tff(5994,plain,
% 4.36/3.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s70, s71)) | trans(s70, s71))),
% 4.36/3.22 inference(quant_inst,[status(thm)],[])).
% 4.36/3.22 tff(5995,plain,
% 4.36/3.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s70, s71)) | trans(s70, s71)),
% 4.36/3.22 inference(modus_ponens,[status(thm)],[5994, 5993])).
% 4.36/3.22 tff(5996,plain,
% 4.36/3.22 (trans(s70, s71)),
% 4.36/3.22 inference(unit_resolution,[status(thm)],[5995, 5992, 32])).
% 4.36/3.22 tff(5997,plain,
% 4.36/3.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s70, s71)) | node7(s70, s71))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s70, s71)) | node7(s70, s71))),
% 4.36/3.22 inference(rewrite,[status(thm)],[])).
% 4.36/3.22 tff(5998,plain,
% 4.36/3.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s70, s71)) | node7(s70, s71))),
% 4.36/3.22 inference(quant_inst,[status(thm)],[])).
% 4.36/3.22 tff(5999,plain,
% 4.36/3.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s70, s71)) | node7(s70, s71)),
% 4.36/3.23 inference(modus_ponens,[status(thm)],[5998, 5997])).
% 4.36/3.23 tff(6000,plain,
% 4.36/3.23 (node7(s70, s71)),
% 4.36/3.23 inference(unit_resolution,[status(thm)],[5999, 206, 5996])).
% 4.36/3.23 tff(6001,plain,
% 4.36/3.23 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s71, c_n1) | (~m_main_v_state1(s70, c_c1)) | node1(s70) | node2(s70) | node3(s70) | node4(s70) | node5(s70) | (~node7(s70, s71)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s71, c_n1) | (~m_main_v_state1(s70, c_c1)) | node1(s70) | node2(s70) | node3(s70) | node4(s70) | node5(s70) | (~node7(s70, s71)))),
% 4.36/3.23 inference(rewrite,[status(thm)],[])).
% 4.36/3.23 tff(6002,plain,
% 4.36/3.23 (((~m_main_v_state1(s70, c_c1)) | node1(s70) | node2(s70) | node3(s70) | node4(s70) | node5(s70) | (~node7(s70, s71)) | m_main_v_state1(s71, c_n1)) <=> (m_main_v_state1(s71, c_n1) | (~m_main_v_state1(s70, c_c1)) | node1(s70) | node2(s70) | node3(s70) | node4(s70) | node5(s70) | (~node7(s70, s71)))),
% 4.36/3.23 inference(rewrite,[status(thm)],[])).
% 4.36/3.23 tff(6003,plain,
% 4.36/3.23 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s70, c_c1)) | node1(s70) | node2(s70) | node3(s70) | node4(s70) | node5(s70) | (~node7(s70, s71)) | m_main_v_state1(s71, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s71, c_n1) | (~m_main_v_state1(s70, c_c1)) | node1(s70) | node2(s70) | node3(s70) | node4(s70) | node5(s70) | (~node7(s70, s71))))),
% 4.36/3.23 inference(monotonicity,[status(thm)],[6002])).
% 4.36/3.23 tff(6004,plain,
% 4.36/3.23 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s70, c_c1)) | node1(s70) | node2(s70) | node3(s70) | node4(s70) | node5(s70) | (~node7(s70, s71)) | m_main_v_state1(s71, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s71, c_n1) | (~m_main_v_state1(s70, c_c1)) | node1(s70) | node2(s70) | node3(s70) | node4(s70) | node5(s70) | (~node7(s70, s71)))),
% 4.36/3.23 inference(transitivity,[status(thm)],[6003, 6001])).
% 4.36/3.23 tff(6005,plain,
% 4.36/3.23 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s70, c_c1)) | node1(s70) | node2(s70) | node3(s70) | node4(s70) | node5(s70) | (~node7(s70, s71)) | m_main_v_state1(s71, c_n1))),
% 4.36/3.23 inference(quant_inst,[status(thm)],[])).
% 4.36/3.23 tff(6006,plain,
% 4.36/3.23 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s71, c_n1) | (~m_main_v_state1(s70, c_c1)) | node1(s70) | node2(s70) | node3(s70) | node4(s70) | node5(s70) | (~node7(s70, s71))),
% 4.36/3.23 inference(modus_ponens,[status(thm)],[6005, 6004])).
% 4.36/3.23 tff(6007,plain,
% 4.36/3.23 (m_main_v_state1(s71, c_n1) | (~m_main_v_state1(s70, c_c1)) | node1(s70) | node2(s70) | node3(s70) | node4(s70) | node5(s70)),
% 4.36/3.23 inference(unit_resolution,[status(thm)],[6006, 584, 6000])).
% 4.36/3.23 tff(6008,plain,
% 4.36/3.23 (m_main_v_state1(s71, c_n1)),
% 4.36/3.23 inference(unit_resolution,[status(thm)],[6007, 5989, 5944, 5981, 5977, 5969, 5952])).
% 4.36/3.23 tff(6009,plain,
% 4.36/3.23 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s69, c_t2) | (~node15(s69)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s69, c_t2) | (~node15(s69)))),
% 4.36/3.23 inference(rewrite,[status(thm)],[])).
% 4.36/3.23 tff(6010,plain,
% 4.36/3.23 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s69, c_t2) | (~node15(s69)))),
% 4.36/3.23 inference(quant_inst,[status(thm)],[])).
% 4.36/3.23 tff(6011,plain,
% 4.36/3.23 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s69, c_t2) | (~node15(s69))),
% 4.36/3.23 inference(modus_ponens,[status(thm)],[6010, 6009])).
% 4.36/3.23 tff(6012,plain,
% 4.36/3.23 (~node15(s69)),
% 4.36/3.23 inference(unit_resolution,[status(thm)],[6011, 103, 5921])).
% 4.36/3.23 tff(6013,plain,
% 4.36/3.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s69, s70)) | node18(s69, s70))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s69, s70)) | node18(s69, s70))),
% 4.36/3.23 inference(rewrite,[status(thm)],[])).
% 4.36/3.23 tff(6014,plain,
% 4.36/3.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s69, s70)) | node18(s69, s70))),
% 4.36/3.23 inference(quant_inst,[status(thm)],[])).
% 4.36/3.23 tff(6015,plain,
% 4.36/3.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s69, s70)) | node18(s69, s70)),
% 4.36/3.23 inference(modus_ponens,[status(thm)],[6014, 6013])).
% 4.36/3.23 tff(6016,plain,
% 4.36/3.23 (node18(s69, s70)),
% 4.36/3.23 inference(unit_resolution,[status(thm)],[6015, 125, 5932])).
% 4.36/3.23 tff(6017,plain,
% 4.36/3.23 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s69) | (~node18(s69, s70)) | (~m_main_v_state1(s69, c_t1)) | (~m_main_v_state2(s69, c_n2)) | m_main_v_turn(s70, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s69) | (~node18(s69, s70)) | (~m_main_v_state1(s69, c_t1)) | (~m_main_v_state2(s69, c_n2)) | m_main_v_turn(s70, c_1))),
% 4.36/3.23 inference(rewrite,[status(thm)],[])).
% 4.36/3.23 tff(6018,plain,
% 4.36/3.23 (((~m_main_v_state1(s69, c_t1)) | (~m_main_v_state2(s69, c_n2)) | node15(s69) | (~node18(s69, s70)) | m_main_v_turn(s70, c_1)) <=> (node15(s69) | (~node18(s69, s70)) | (~m_main_v_state1(s69, c_t1)) | (~m_main_v_state2(s69, c_n2)) | m_main_v_turn(s70, c_1))),
% 4.36/3.23 inference(rewrite,[status(thm)],[])).
% 4.36/3.23 tff(6019,plain,
% 4.36/3.23 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s69, c_t1)) | (~m_main_v_state2(s69, c_n2)) | node15(s69) | (~node18(s69, s70)) | m_main_v_turn(s70, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s69) | (~node18(s69, s70)) | (~m_main_v_state1(s69, c_t1)) | (~m_main_v_state2(s69, c_n2)) | m_main_v_turn(s70, c_1)))),
% 4.36/3.23 inference(monotonicity,[status(thm)],[6018])).
% 4.36/3.23 tff(6020,plain,
% 4.36/3.23 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s69, c_t1)) | (~m_main_v_state2(s69, c_n2)) | node15(s69) | (~node18(s69, s70)) | m_main_v_turn(s70, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s69) | (~node18(s69, s70)) | (~m_main_v_state1(s69, c_t1)) | (~m_main_v_state2(s69, c_n2)) | m_main_v_turn(s70, c_1))),
% 4.36/3.23 inference(transitivity,[status(thm)],[6019, 6017])).
% 4.36/3.23 tff(6021,plain,
% 4.36/3.23 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s69, c_t1)) | (~m_main_v_state2(s69, c_n2)) | node15(s69) | (~node18(s69, s70)) | m_main_v_turn(s70, c_1))),
% 4.36/3.23 inference(quant_inst,[status(thm)],[])).
% 4.36/3.23 tff(6022,plain,
% 4.36/3.23 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s69) | (~node18(s69, s70)) | (~m_main_v_state1(s69, c_t1)) | (~m_main_v_state2(s69, c_n2)) | m_main_v_turn(s70, c_1)),
% 4.36/3.23 inference(modus_ponens,[status(thm)],[6021, 6020])).
% 4.36/3.23 tff(6023,plain,
% 4.36/3.23 (node15(s69) | (~m_main_v_state1(s69, c_t1)) | (~m_main_v_state2(s69, c_n2)) | m_main_v_turn(s70, c_1)),
% 4.36/3.23 inference(unit_resolution,[status(thm)],[6022, 992, 6016])).
% 4.36/3.23 tff(6024,plain,
% 4.36/3.23 (m_main_v_turn(s70, c_1)),
% 4.36/3.23 inference(unit_resolution,[status(thm)],[6023, 6012, 5849, 5917])).
% 4.36/3.23 tff(6025,plain,
% 4.36/3.23 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s70, c_1)) | (~m_main_v_turn(s70, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s70, c_1)) | (~m_main_v_turn(s70, c_2)))),
% 4.36/3.23 inference(rewrite,[status(thm)],[])).
% 4.36/3.23 tff(6026,plain,
% 4.36/3.23 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s70, c_1)) | (~m_main_v_turn(s70, c_2)))),
% 4.36/3.23 inference(quant_inst,[status(thm)],[])).
% 4.36/3.23 tff(6027,plain,
% 4.36/3.23 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s70, c_1)) | (~m_main_v_turn(s70, c_2))),
% 4.36/3.23 inference(modus_ponens,[status(thm)],[6026, 6025])).
% 4.36/3.23 tff(6028,plain,
% 4.36/3.23 (~m_main_v_turn(s70, c_2)),
% 4.36/3.23 inference(unit_resolution,[status(thm)],[6027, 156, 6024])).
% 4.36/3.23 tff(6029,plain,
% 4.36/3.23 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s70, c_2) | (~node12(s70)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s70, c_2) | (~node12(s70)))),
% 4.36/3.23 inference(rewrite,[status(thm)],[])).
% 4.36/3.23 tff(6030,plain,
% 4.36/3.23 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s70, c_2) | (~node12(s70)))),
% 4.36/3.23 inference(quant_inst,[status(thm)],[])).
% 4.36/3.23 tff(6031,plain,
% 4.36/3.23 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s70, c_2) | (~node12(s70))),
% 4.36/3.23 inference(modus_ponens,[status(thm)],[6030, 6029])).
% 4.36/3.23 tff(6032,plain,
% 4.36/3.23 (~node12(s70)),
% 4.36/3.23 inference(unit_resolution,[status(thm)],[6031, 184, 6028])).
% 4.36/3.23 tff(6033,plain,
% 4.36/3.23 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s70, c_n2) | (~node8(s70)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s70, c_n2) | (~node8(s70)))),
% 4.36/3.23 inference(rewrite,[status(thm)],[])).
% 4.36/3.23 tff(6034,plain,
% 4.36/3.23 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s70, c_n2) | (~node8(s70)))),
% 4.36/3.23 inference(quant_inst,[status(thm)],[])).
% 4.36/3.23 tff(6035,plain,
% 4.36/3.23 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s70, c_n2) | (~node8(s70))),
% 4.36/3.23 inference(modus_ponens,[status(thm)],[6034, 6033])).
% 4.36/3.23 tff(6036,plain,
% 4.36/3.23 (~node8(s70)),
% 4.36/3.23 inference(unit_resolution,[status(thm)],[6035, 271, 5965])).
% 4.36/3.23 tff(6037,plain,
% 4.36/3.23 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s70, c_n2) | (~node9(s70)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s70, c_n2) | (~node9(s70)))),
% 4.36/3.23 inference(rewrite,[status(thm)],[])).
% 4.36/3.23 tff(6038,plain,
% 4.36/3.23 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s70, c_n2) | (~node9(s70)))),
% 4.36/3.23 inference(quant_inst,[status(thm)],[])).
% 4.36/3.23 tff(6039,plain,
% 4.36/3.23 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s70, c_n2) | (~node9(s70))),
% 4.36/3.23 inference(modus_ponens,[status(thm)],[6038, 6037])).
% 4.36/3.23 tff(6040,plain,
% 4.36/3.23 (~node9(s70)),
% 4.36/3.23 inference(unit_resolution,[status(thm)],[6039, 88, 5965])).
% 4.36/3.23 tff(6041,plain,
% 4.36/3.23 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s70, c_n2) | (~node10(s70)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s70, c_n2) | (~node10(s70)))),
% 4.36/3.23 inference(rewrite,[status(thm)],[])).
% 4.36/3.23 tff(6042,plain,
% 4.36/3.23 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s70, c_n2) | (~node10(s70)))),
% 4.36/3.23 inference(quant_inst,[status(thm)],[])).
% 4.36/3.23 tff(6043,plain,
% 4.36/3.23 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s70, c_n2) | (~node10(s70))),
% 4.36/3.23 inference(modus_ponens,[status(thm)],[6042, 6041])).
% 4.36/3.23 tff(6044,plain,
% 4.36/3.23 (~node10(s70)),
% 4.36/3.23 inference(unit_resolution,[status(thm)],[6043, 249, 5965])).
% 4.36/3.23 tff(6045,plain,
% 4.36/3.23 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s70, c_n1) | (~node11(s70)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s70, c_n1) | (~node11(s70)))),
% 4.36/3.23 inference(rewrite,[status(thm)],[])).
% 4.36/3.23 tff(6046,plain,
% 4.36/3.23 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s70, c_n1) | (~node11(s70)))),
% 4.36/3.23 inference(quant_inst,[status(thm)],[])).
% 4.36/3.23 tff(6047,plain,
% 4.36/3.23 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s70, c_n1) | (~node11(s70))),
% 4.36/3.23 inference(modus_ponens,[status(thm)],[6046, 6045])).
% 4.36/3.23 tff(6048,plain,
% 4.36/3.23 (~node11(s70)),
% 4.36/3.23 inference(unit_resolution,[status(thm)],[6047, 238, 5985])).
% 4.36/3.23 tff(6049,plain,
% 4.36/3.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s70, s71)) | node14(s70, s71))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s70, s71)) | node14(s70, s71))),
% 4.36/3.23 inference(rewrite,[status(thm)],[])).
% 4.36/3.23 tff(6050,plain,
% 4.36/3.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s70, s71)) | node14(s70, s71))),
% 4.36/3.23 inference(quant_inst,[status(thm)],[])).
% 4.36/3.23 tff(6051,plain,
% 4.36/3.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s70, s71)) | node14(s70, s71)),
% 4.36/3.23 inference(modus_ponens,[status(thm)],[6050, 6049])).
% 4.36/3.23 tff(6052,plain,
% 4.36/3.23 (node14(s70, s71)),
% 4.36/3.23 inference(unit_resolution,[status(thm)],[6051, 46, 5996])).
% 4.36/3.23 tff(6053,plain,
% 4.36/3.23 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s70, c_c2) | node9(s70) | node8(s70) | node10(s70) | node11(s70) | node12(s70) | node13(s70, s71) | (~node14(s70, s71)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s70, c_c2) | node9(s70) | node8(s70) | node10(s70) | node11(s70) | node12(s70) | node13(s70, s71) | (~node14(s70, s71)))),
% 4.36/3.23 inference(rewrite,[status(thm)],[])).
% 4.36/3.23 tff(6054,plain,
% 4.36/3.23 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s70, c_c2) | node9(s70) | node8(s70) | node10(s70) | node11(s70) | node12(s70) | node13(s70, s71) | (~node14(s70, s71)))),
% 4.36/3.23 inference(quant_inst,[status(thm)],[])).
% 4.36/3.23 tff(6055,plain,
% 4.36/3.23 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s70, c_c2) | node9(s70) | node8(s70) | node10(s70) | node11(s70) | node12(s70) | node13(s70, s71) | (~node14(s70, s71))),
% 4.36/3.23 inference(modus_ponens,[status(thm)],[6054, 6053])).
% 4.36/3.23 tff(6056,plain,
% 4.36/3.23 (m_main_v_state2(s70, c_c2) | node9(s70) | node8(s70) | node10(s70) | node11(s70) | node12(s70) | node13(s70, s71)),
% 4.36/3.23 inference(unit_resolution,[status(thm)],[6055, 296, 6052])).
% 4.36/3.23 tff(6057,plain,
% 4.36/3.23 (node13(s70, s71)),
% 4.36/3.23 inference(unit_resolution,[status(thm)],[6056, 6048, 5973, 6044, 6040, 6036, 6032])).
% 4.36/3.23 tff(6058,plain,
% 4.36/3.23 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s70, c_t2)) | m_main_v_state2(s71, c_t2) | (~node13(s70, s71)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s70, c_t2)) | m_main_v_state2(s71, c_t2) | (~node13(s70, s71)))),
% 4.36/3.23 inference(rewrite,[status(thm)],[])).
% 4.36/3.23 tff(6059,plain,
% 4.36/3.23 (((~node13(s70, s71)) | (~m_main_v_state2(s70, c_t2)) | m_main_v_state2(s71, c_t2)) <=> ((~m_main_v_state2(s70, c_t2)) | m_main_v_state2(s71, c_t2) | (~node13(s70, s71)))),
% 4.36/3.23 inference(rewrite,[status(thm)],[])).
% 4.36/3.23 tff(6060,plain,
% 4.36/3.23 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s70, s71)) | (~m_main_v_state2(s70, c_t2)) | m_main_v_state2(s71, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s70, c_t2)) | m_main_v_state2(s71, c_t2) | (~node13(s70, s71))))),
% 4.36/3.23 inference(monotonicity,[status(thm)],[6059])).
% 4.36/3.23 tff(6061,plain,
% 4.36/3.23 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s70, s71)) | (~m_main_v_state2(s70, c_t2)) | m_main_v_state2(s71, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s70, c_t2)) | m_main_v_state2(s71, c_t2) | (~node13(s70, s71)))),
% 4.36/3.23 inference(transitivity,[status(thm)],[6060, 6058])).
% 4.36/3.23 tff(6062,plain,
% 4.36/3.23 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s70, s71)) | (~m_main_v_state2(s70, c_t2)) | m_main_v_state2(s71, c_t2))),
% 4.36/3.23 inference(quant_inst,[status(thm)],[])).
% 4.36/3.23 tff(6063,plain,
% 4.36/3.23 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s70, c_t2)) | m_main_v_state2(s71, c_t2) | (~node13(s70, s71))),
% 4.36/3.23 inference(modus_ponens,[status(thm)],[6062, 6061])).
% 4.36/3.23 tff(6064,plain,
% 4.36/3.23 (m_main_v_state2(s71, c_t2)),
% 4.36/3.23 inference(unit_resolution,[status(thm)],[6063, 518, 5961, 6057])).
% 4.36/3.23 tff(6065,plain,
% 4.36/3.23 (succ(s71, s72) <=> succ(s71, s72)),
% 4.36/3.23 inference(rewrite,[status(thm)],[])).
% 4.36/3.23 tff(6066,axiom,(succ(s71, s72)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound72')).
% 4.36/3.23 tff(6067,plain,
% 4.36/3.23 (succ(s71, s72)),
% 4.36/3.23 inference(modus_ponens,[status(thm)],[6066, 6065])).
% 4.36/3.23 tff(6068,plain,
% 4.36/3.23 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s71, s72)) | trans(s71, s72))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s71, s72)) | trans(s71, s72))),
% 4.36/3.23 inference(rewrite,[status(thm)],[])).
% 4.36/3.23 tff(6069,plain,
% 4.36/3.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s71, s72)) | trans(s71, s72))),
% 4.36/3.23 inference(quant_inst,[status(thm)],[])).
% 4.36/3.23 tff(6070,plain,
% 4.36/3.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s71, s72)) | trans(s71, s72)),
% 4.36/3.23 inference(modus_ponens,[status(thm)],[6069, 6068])).
% 4.36/3.23 tff(6071,plain,
% 4.36/3.23 (trans(s71, s72)),
% 4.36/3.23 inference(unit_resolution,[status(thm)],[6070, 6067, 32])).
% 4.36/3.23 tff(6072,plain,
% 4.36/3.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s71, s72)) | node7(s71, s72))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s71, s72)) | node7(s71, s72))),
% 4.36/3.23 inference(rewrite,[status(thm)],[])).
% 4.36/3.23 tff(6073,plain,
% 4.36/3.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s71, s72)) | node7(s71, s72))),
% 4.36/3.23 inference(quant_inst,[status(thm)],[])).
% 4.36/3.23 tff(6074,plain,
% 4.36/3.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s71, s72)) | node7(s71, s72)),
% 4.36/3.23 inference(modus_ponens,[status(thm)],[6073, 6072])).
% 4.36/3.23 tff(6075,plain,
% 4.36/3.23 (node7(s71, s72)),
% 4.36/3.23 inference(unit_resolution,[status(thm)],[6074, 206, 6071])).
% 4.36/3.23 tff(6076,plain,
% 4.36/3.23 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s71, c_n1)) | (~m_main_v_state2(s71, c_t2)) | (~node7(s71, s72)) | m_main_v_state1(s72, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s71, c_n1)) | (~m_main_v_state2(s71, c_t2)) | (~node7(s71, s72)) | m_main_v_state1(s72, c_t1))),
% 4.39/3.23 inference(rewrite,[status(thm)],[])).
% 4.39/3.23 tff(6077,plain,
% 4.39/3.23 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s71, c_n1)) | (~m_main_v_state2(s71, c_t2)) | (~node7(s71, s72)) | m_main_v_state1(s72, c_t1))),
% 4.39/3.23 inference(quant_inst,[status(thm)],[])).
% 4.39/3.23 tff(6078,plain,
% 4.39/3.23 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s71, c_n1)) | (~m_main_v_state2(s71, c_t2)) | (~node7(s71, s72)) | m_main_v_state1(s72, c_t1)),
% 4.39/3.23 inference(modus_ponens,[status(thm)],[6077, 6076])).
% 4.39/3.23 tff(6079,plain,
% 4.39/3.23 ((~m_main_v_state1(s71, c_n1)) | (~m_main_v_state2(s71, c_t2)) | m_main_v_state1(s72, c_t1)),
% 4.39/3.23 inference(unit_resolution,[status(thm)],[6078, 651, 6075])).
% 4.39/3.23 tff(6080,plain,
% 4.39/3.23 (m_main_v_state1(s72, c_t1)),
% 4.39/3.23 inference(unit_resolution,[status(thm)],[6079, 6064, 6008])).
% 4.39/3.23 tff(6081,plain,
% 4.39/3.23 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s72, c_n1)) | (~m_main_v_state1(s72, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s72, c_n1)) | (~m_main_v_state1(s72, c_t1)))),
% 4.39/3.23 inference(rewrite,[status(thm)],[])).
% 4.39/3.23 tff(6082,plain,
% 4.39/3.23 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s72, c_n1)) | (~m_main_v_state1(s72, c_t1)))),
% 4.39/3.23 inference(quant_inst,[status(thm)],[])).
% 4.39/3.23 tff(6083,plain,
% 4.39/3.23 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s72, c_n1)) | (~m_main_v_state1(s72, c_t1))),
% 4.39/3.23 inference(modus_ponens,[status(thm)],[6082, 6081])).
% 4.39/3.23 tff(6084,plain,
% 4.39/3.23 (~m_main_v_state1(s72, c_n1)),
% 4.39/3.23 inference(unit_resolution,[status(thm)],[6083, 10, 6080])).
% 4.39/3.23 tff(6085,plain,
% 4.39/3.23 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s72, c_n1) | (~node1(s72)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s72, c_n1) | (~node1(s72)))),
% 4.39/3.23 inference(rewrite,[status(thm)],[])).
% 4.39/3.23 tff(6086,plain,
% 4.39/3.23 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s72, c_n1) | (~node1(s72)))),
% 4.39/3.23 inference(quant_inst,[status(thm)],[])).
% 4.39/3.23 tff(6087,plain,
% 4.39/3.23 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s72, c_n1) | (~node1(s72))),
% 4.39/3.23 inference(modus_ponens,[status(thm)],[6086, 6085])).
% 4.39/3.23 tff(6088,plain,
% 4.39/3.23 (~node1(s72)),
% 4.39/3.23 inference(unit_resolution,[status(thm)],[6087, 421, 6084])).
% 4.39/3.23 tff(6089,plain,
% 4.39/3.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s71, s72)) | node18(s71, s72))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s71, s72)) | node18(s71, s72))),
% 4.39/3.23 inference(rewrite,[status(thm)],[])).
% 4.39/3.23 tff(6090,plain,
% 4.39/3.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s71, s72)) | node18(s71, s72))),
% 4.39/3.23 inference(quant_inst,[status(thm)],[])).
% 4.39/3.23 tff(6091,plain,
% 4.39/3.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s71, s72)) | node18(s71, s72)),
% 4.39/3.23 inference(modus_ponens,[status(thm)],[6090, 6089])).
% 4.39/3.23 tff(6092,plain,
% 4.39/3.23 (node18(s71, s72)),
% 4.39/3.23 inference(unit_resolution,[status(thm)],[6091, 125, 6071])).
% 4.39/3.23 tff(6093,plain,
% 4.39/3.23 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s71, c_n1)) | (~m_main_v_state2(s71, c_t2)) | (~node18(s71, s72)) | m_main_v_turn(s72, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s71, c_n1)) | (~m_main_v_state2(s71, c_t2)) | (~node18(s71, s72)) | m_main_v_turn(s72, c_2))),
% 4.39/3.23 inference(rewrite,[status(thm)],[])).
% 4.39/3.23 tff(6094,plain,
% 4.39/3.23 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s71, c_n1)) | (~m_main_v_state2(s71, c_t2)) | (~node18(s71, s72)) | m_main_v_turn(s72, c_2))),
% 4.39/3.23 inference(quant_inst,[status(thm)],[])).
% 4.39/3.23 tff(6095,plain,
% 4.39/3.23 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s71, c_n1)) | (~m_main_v_state2(s71, c_t2)) | (~node18(s71, s72)) | m_main_v_turn(s72, c_2)),
% 4.39/3.23 inference(modus_ponens,[status(thm)],[6094, 6093])).
% 4.39/3.23 tff(6096,plain,
% 4.39/3.23 ((~m_main_v_state1(s71, c_n1)) | (~m_main_v_state2(s71, c_t2)) | m_main_v_turn(s72, c_2)),
% 4.39/3.23 inference(unit_resolution,[status(thm)],[6095, 760, 6092])).
% 4.39/3.23 tff(6097,plain,
% 4.39/3.23 (m_main_v_turn(s72, c_2)),
% 4.39/3.23 inference(unit_resolution,[status(thm)],[6096, 6064, 6008])).
% 4.39/3.23 tff(6098,plain,
% 4.39/3.23 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s72, c_1)) | (~m_main_v_turn(s72, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s72, c_1)) | (~m_main_v_turn(s72, c_2)))),
% 4.39/3.23 inference(rewrite,[status(thm)],[])).
% 4.39/3.23 tff(6099,plain,
% 4.39/3.23 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s72, c_1)) | (~m_main_v_turn(s72, c_2)))),
% 4.39/3.23 inference(quant_inst,[status(thm)],[])).
% 4.39/3.23 tff(6100,plain,
% 4.39/3.23 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s72, c_1)) | (~m_main_v_turn(s72, c_2))),
% 4.39/3.23 inference(modus_ponens,[status(thm)],[6099, 6098])).
% 4.39/3.23 tff(6101,plain,
% 4.39/3.23 (~m_main_v_turn(s72, c_1)),
% 4.39/3.23 inference(unit_resolution,[status(thm)],[6100, 156, 6097])).
% 4.39/3.23 tff(6102,plain,
% 4.39/3.23 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s72, c_1) | (~node5(s72)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s72, c_1) | (~node5(s72)))),
% 4.39/3.23 inference(rewrite,[status(thm)],[])).
% 4.39/3.23 tff(6103,plain,
% 4.39/3.23 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s72, c_1) | (~node5(s72)))),
% 4.39/3.23 inference(quant_inst,[status(thm)],[])).
% 4.39/3.23 tff(6104,plain,
% 4.39/3.23 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s72, c_1) | (~node5(s72))),
% 4.39/3.24 inference(modus_ponens,[status(thm)],[6103, 6102])).
% 4.39/3.24 tff(6105,plain,
% 4.39/3.24 (~node5(s72)),
% 4.39/3.24 inference(unit_resolution,[status(thm)],[6104, 776, 6101])).
% 4.39/3.24 tff(6106,plain,
% 4.39/3.24 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s72, c_n1) | (~node2(s72)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s72, c_n1) | (~node2(s72)))),
% 4.39/3.24 inference(rewrite,[status(thm)],[])).
% 4.39/3.24 tff(6107,plain,
% 4.39/3.24 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s72, c_n1) | (~node2(s72)))),
% 4.39/3.24 inference(quant_inst,[status(thm)],[])).
% 4.39/3.24 tff(6108,plain,
% 4.39/3.24 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s72, c_n1) | (~node2(s72))),
% 4.39/3.24 inference(modus_ponens,[status(thm)],[6107, 6106])).
% 4.39/3.24 tff(6109,plain,
% 4.39/3.24 (~node2(s72)),
% 4.39/3.24 inference(unit_resolution,[status(thm)],[6108, 787, 6084])).
% 4.39/3.24 tff(6110,plain,
% 4.39/3.24 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s72, c_n1) | (~node3(s72)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s72, c_n1) | (~node3(s72)))),
% 4.39/3.24 inference(rewrite,[status(thm)],[])).
% 4.39/3.24 tff(6111,plain,
% 4.39/3.24 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s72, c_n1) | (~node3(s72)))),
% 4.39/3.24 inference(quant_inst,[status(thm)],[])).
% 4.39/3.24 tff(6112,plain,
% 4.39/3.24 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s72, c_n1) | (~node3(s72))),
% 4.39/3.24 inference(modus_ponens,[status(thm)],[6111, 6110])).
% 4.39/3.24 tff(6113,plain,
% 4.39/3.24 (~node3(s72)),
% 4.39/3.24 inference(unit_resolution,[status(thm)],[6112, 798, 6084])).
% 4.39/3.24 tff(6114,plain,
% 4.39/3.24 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s72, c_t1)) | (~m_main_v_state1(s72, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s72, c_t1)) | (~m_main_v_state1(s72, c_c1)))),
% 4.39/3.24 inference(rewrite,[status(thm)],[])).
% 4.39/3.24 tff(6115,plain,
% 4.39/3.24 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s72, c_t1)) | (~m_main_v_state1(s72, c_c1)))),
% 4.39/3.24 inference(quant_inst,[status(thm)],[])).
% 4.39/3.24 tff(6116,plain,
% 4.39/3.24 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s72, c_t1)) | (~m_main_v_state1(s72, c_c1))),
% 4.39/3.24 inference(modus_ponens,[status(thm)],[6115, 6114])).
% 4.39/3.24 tff(6117,plain,
% 4.39/3.24 (~m_main_v_state1(s72, c_c1)),
% 4.39/3.24 inference(unit_resolution,[status(thm)],[6116, 539, 6080])).
% 4.39/3.24 tff(6118,plain,
% 4.39/3.24 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s70, c_n2) | (~m_main_v_state2(s71, c_n2)) | (~node13(s70, s71)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s70, c_n2) | (~m_main_v_state2(s71, c_n2)) | (~node13(s70, s71)))),
% 4.39/3.24 inference(rewrite,[status(thm)],[])).
% 4.39/3.24 tff(6119,plain,
% 4.39/3.24 (((~node13(s70, s71)) | m_main_v_state2(s70, c_n2) | (~m_main_v_state2(s71, c_n2))) <=> (m_main_v_state2(s70, c_n2) | (~m_main_v_state2(s71, c_n2)) | (~node13(s70, s71)))),
% 4.39/3.24 inference(rewrite,[status(thm)],[])).
% 4.39/3.24 tff(6120,plain,
% 4.39/3.24 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s70, s71)) | m_main_v_state2(s70, c_n2) | (~m_main_v_state2(s71, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s70, c_n2) | (~m_main_v_state2(s71, c_n2)) | (~node13(s70, s71))))),
% 4.39/3.24 inference(monotonicity,[status(thm)],[6119])).
% 4.39/3.24 tff(6121,plain,
% 4.39/3.24 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s70, s71)) | m_main_v_state2(s70, c_n2) | (~m_main_v_state2(s71, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s70, c_n2) | (~m_main_v_state2(s71, c_n2)) | (~node13(s70, s71)))),
% 4.39/3.24 inference(transitivity,[status(thm)],[6120, 6118])).
% 4.39/3.24 tff(6122,plain,
% 4.39/3.24 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s70, s71)) | m_main_v_state2(s70, c_n2) | (~m_main_v_state2(s71, c_n2)))),
% 4.39/3.24 inference(quant_inst,[status(thm)],[])).
% 4.39/3.24 tff(6123,plain,
% 4.39/3.24 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s70, c_n2) | (~m_main_v_state2(s71, c_n2)) | (~node13(s70, s71))),
% 4.39/3.24 inference(modus_ponens,[status(thm)],[6122, 6121])).
% 4.39/3.24 tff(6124,plain,
% 4.39/3.24 (~m_main_v_state2(s71, c_n2)),
% 4.39/3.24 inference(unit_resolution,[status(thm)],[6123, 311, 5965, 6057])).
% 4.39/3.24 tff(6125,plain,
% 4.39/3.24 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s71, c_n2) | (~node9(s71)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s71, c_n2) | (~node9(s71)))),
% 4.39/3.24 inference(rewrite,[status(thm)],[])).
% 4.39/3.24 tff(6126,plain,
% 4.39/3.24 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s71, c_n2) | (~node9(s71)))),
% 4.39/3.24 inference(quant_inst,[status(thm)],[])).
% 4.39/3.24 tff(6127,plain,
% 4.39/3.24 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s71, c_n2) | (~node9(s71))),
% 4.39/3.24 inference(modus_ponens,[status(thm)],[6126, 6125])).
% 4.39/3.24 tff(6128,plain,
% 4.39/3.24 (~node9(s71)),
% 4.39/3.24 inference(unit_resolution,[status(thm)],[6127, 88, 6124])).
% 4.39/3.24 tff(6129,plain,
% 4.39/3.24 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s71, c_n2) | (~node10(s71)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s71, c_n2) | (~node10(s71)))),
% 4.39/3.24 inference(rewrite,[status(thm)],[])).
% 4.39/3.24 tff(6130,plain,
% 4.39/3.24 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s71, c_n2) | (~node10(s71)))),
% 4.39/3.24 inference(quant_inst,[status(thm)],[])).
% 4.39/3.24 tff(6131,plain,
% 4.39/3.24 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s71, c_n2) | (~node10(s71))),
% 4.39/3.24 inference(modus_ponens,[status(thm)],[6130, 6129])).
% 4.39/3.24 tff(6132,plain,
% 4.39/3.24 (~node10(s71)),
% 4.39/3.24 inference(unit_resolution,[status(thm)],[6131, 249, 6124])).
% 4.39/3.24 tff(6133,plain,
% 4.39/3.24 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s71, c_n2) | (~node8(s71)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s71, c_n2) | (~node8(s71)))),
% 4.39/3.24 inference(rewrite,[status(thm)],[])).
% 4.39/3.24 tff(6134,plain,
% 4.39/3.24 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s71, c_n2) | (~node8(s71)))),
% 4.39/3.24 inference(quant_inst,[status(thm)],[])).
% 4.39/3.24 tff(6135,plain,
% 4.39/3.24 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s71, c_n2) | (~node8(s71))),
% 4.39/3.24 inference(modus_ponens,[status(thm)],[6134, 6133])).
% 4.39/3.24 tff(6136,plain,
% 4.39/3.24 (~node8(s71)),
% 4.39/3.24 inference(unit_resolution,[status(thm)],[6135, 271, 6124])).
% 4.39/3.24 tff(6137,plain,
% 4.39/3.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s71, s72)) | node14(s71, s72))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s71, s72)) | node14(s71, s72))),
% 4.39/3.24 inference(rewrite,[status(thm)],[])).
% 4.39/3.24 tff(6138,plain,
% 4.39/3.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s71, s72)) | node14(s71, s72))),
% 4.39/3.24 inference(quant_inst,[status(thm)],[])).
% 4.39/3.24 tff(6139,plain,
% 4.39/3.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s71, s72)) | node14(s71, s72)),
% 4.39/3.24 inference(modus_ponens,[status(thm)],[6138, 6137])).
% 4.39/3.24 tff(6140,plain,
% 4.39/3.24 (node14(s71, s72)),
% 4.39/3.24 inference(unit_resolution,[status(thm)],[6139, 46, 6071])).
% 4.39/3.24 tff(6141,plain,
% 4.39/3.24 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s71, c_n1)) | (~m_main_v_state2(s71, c_t2)) | node9(s71) | node8(s71) | node10(s71) | (~node14(s71, s72)) | m_main_v_state2(s72, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s71, c_n1)) | (~m_main_v_state2(s71, c_t2)) | node9(s71) | node8(s71) | node10(s71) | (~node14(s71, s72)) | m_main_v_state2(s72, c_c2))),
% 4.39/3.24 inference(rewrite,[status(thm)],[])).
% 4.39/3.24 tff(6142,plain,
% 4.39/3.24 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s71, c_n1)) | (~m_main_v_state2(s71, c_t2)) | node9(s71) | node8(s71) | node10(s71) | (~node14(s71, s72)) | m_main_v_state2(s72, c_c2))),
% 4.39/3.24 inference(quant_inst,[status(thm)],[])).
% 4.39/3.24 tff(6143,plain,
% 4.39/3.24 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s71, c_n1)) | (~m_main_v_state2(s71, c_t2)) | node9(s71) | node8(s71) | node10(s71) | (~node14(s71, s72)) | m_main_v_state2(s72, c_c2)),
% 4.39/3.24 inference(modus_ponens,[status(thm)],[6142, 6141])).
% 4.39/3.24 tff(6144,plain,
% 4.39/3.24 ((~m_main_v_state1(s71, c_n1)) | (~m_main_v_state2(s71, c_t2)) | node9(s71) | node8(s71) | node10(s71) | m_main_v_state2(s72, c_c2)),
% 4.39/3.24 inference(unit_resolution,[status(thm)],[6143, 617, 6140])).
% 4.39/3.24 tff(6145,plain,
% 4.39/3.24 (m_main_v_state2(s72, c_c2)),
% 4.39/3.24 inference(unit_resolution,[status(thm)],[6144, 6136, 6008, 6064, 6132, 6128])).
% 4.39/3.24 tff(6146,plain,
% 4.39/3.24 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s72, c_n2)) | (~m_main_v_state2(s72, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s72, c_n2)) | (~m_main_v_state2(s72, c_c2)))),
% 4.39/3.24 inference(rewrite,[status(thm)],[])).
% 4.39/3.24 tff(6147,plain,
% 4.39/3.24 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s72, c_n2)) | (~m_main_v_state2(s72, c_c2)))),
% 4.39/3.24 inference(quant_inst,[status(thm)],[])).
% 4.39/3.24 tff(6148,plain,
% 4.39/3.24 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s72, c_n2)) | (~m_main_v_state2(s72, c_c2))),
% 4.39/3.24 inference(modus_ponens,[status(thm)],[6147, 6146])).
% 4.39/3.24 tff(6149,plain,
% 4.39/3.24 (~m_main_v_state2(s72, c_n2)),
% 4.39/3.24 inference(unit_resolution,[status(thm)],[6148, 697, 6145])).
% 4.39/3.24 tff(6150,plain,
% 4.39/3.24 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s72, c_n2) | (~node4(s72)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s72, c_n2) | (~node4(s72)))),
% 4.39/3.24 inference(rewrite,[status(thm)],[])).
% 4.39/3.24 tff(6151,plain,
% 4.39/3.24 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s72, c_n2) | (~node4(s72)))),
% 4.39/3.24 inference(quant_inst,[status(thm)],[])).
% 4.39/3.24 tff(6152,plain,
% 4.39/3.24 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s72, c_n2) | (~node4(s72))),
% 4.39/3.24 inference(modus_ponens,[status(thm)],[6151, 6150])).
% 4.39/3.24 tff(6153,plain,
% 4.39/3.24 (~node4(s72)),
% 4.39/3.24 inference(unit_resolution,[status(thm)],[6152, 388, 6149])).
% 4.39/3.24 tff(6154,plain,
% 4.39/3.24 (succ(s72, s73) <=> succ(s72, s73)),
% 4.39/3.24 inference(rewrite,[status(thm)],[])).
% 4.39/3.24 tff(6155,axiom,(succ(s72, s73)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound73')).
% 4.39/3.24 tff(6156,plain,
% 4.39/3.24 (succ(s72, s73)),
% 4.39/3.24 inference(modus_ponens,[status(thm)],[6155, 6154])).
% 4.39/3.24 tff(6157,plain,
% 4.39/3.24 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s72, s73)) | trans(s72, s73))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s72, s73)) | trans(s72, s73))),
% 4.39/3.24 inference(rewrite,[status(thm)],[])).
% 4.39/3.24 tff(6158,plain,
% 4.39/3.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s72, s73)) | trans(s72, s73))),
% 4.39/3.24 inference(quant_inst,[status(thm)],[])).
% 4.39/3.24 tff(6159,plain,
% 4.39/3.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s72, s73)) | trans(s72, s73)),
% 4.39/3.24 inference(modus_ponens,[status(thm)],[6158, 6157])).
% 4.39/3.24 tff(6160,plain,
% 4.39/3.24 (trans(s72, s73)),
% 4.39/3.24 inference(unit_resolution,[status(thm)],[6159, 6156, 32])).
% 4.39/3.24 tff(6161,plain,
% 4.39/3.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s72, s73)) | node7(s72, s73))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s72, s73)) | node7(s72, s73))),
% 4.39/3.24 inference(rewrite,[status(thm)],[])).
% 4.39/3.24 tff(6162,plain,
% 4.39/3.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s72, s73)) | node7(s72, s73))),
% 4.39/3.24 inference(quant_inst,[status(thm)],[])).
% 4.39/3.24 tff(6163,plain,
% 4.39/3.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s72, s73)) | node7(s72, s73)),
% 4.39/3.24 inference(modus_ponens,[status(thm)],[6162, 6161])).
% 4.39/3.24 tff(6164,plain,
% 4.39/3.24 (node7(s72, s73)),
% 4.39/3.24 inference(unit_resolution,[status(thm)],[6163, 206, 6160])).
% 4.39/3.24 tff(6165,plain,
% 4.39/3.24 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s72, c_c1) | node1(s72) | node2(s72) | node3(s72) | node4(s72) | node5(s72) | node6(s72, s73) | (~node7(s72, s73)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s72, c_c1) | node1(s72) | node2(s72) | node3(s72) | node4(s72) | node5(s72) | node6(s72, s73) | (~node7(s72, s73)))),
% 4.39/3.24 inference(rewrite,[status(thm)],[])).
% 4.39/3.24 tff(6166,plain,
% 4.39/3.24 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s72, c_c1) | node1(s72) | node2(s72) | node3(s72) | node4(s72) | node5(s72) | node6(s72, s73) | (~node7(s72, s73)))),
% 4.39/3.24 inference(quant_inst,[status(thm)],[])).
% 4.39/3.24 tff(6167,plain,
% 4.39/3.24 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s72, c_c1) | node1(s72) | node2(s72) | node3(s72) | node4(s72) | node5(s72) | node6(s72, s73) | (~node7(s72, s73))),
% 4.39/3.24 inference(modus_ponens,[status(thm)],[6166, 6165])).
% 4.39/3.24 tff(6168,plain,
% 4.39/3.24 (m_main_v_state1(s72, c_c1) | node1(s72) | node2(s72) | node3(s72) | node4(s72) | node5(s72) | node6(s72, s73)),
% 4.39/3.24 inference(unit_resolution,[status(thm)],[6167, 820, 6164])).
% 4.39/3.24 tff(6169,plain,
% 4.39/3.24 (node6(s72, s73)),
% 4.39/3.24 inference(unit_resolution,[status(thm)],[6168, 6153, 6117, 6113, 6109, 6105, 6088])).
% 4.39/3.24 tff(6170,plain,
% 4.39/3.24 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s72, c_t1)) | m_main_v_state1(s73, c_t1) | (~node6(s72, s73)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s72, c_t1)) | m_main_v_state1(s73, c_t1) | (~node6(s72, s73)))),
% 4.39/3.24 inference(rewrite,[status(thm)],[])).
% 4.39/3.24 tff(6171,plain,
% 4.39/3.24 (((~node6(s72, s73)) | (~m_main_v_state1(s72, c_t1)) | m_main_v_state1(s73, c_t1)) <=> ((~m_main_v_state1(s72, c_t1)) | m_main_v_state1(s73, c_t1) | (~node6(s72, s73)))),
% 4.39/3.24 inference(rewrite,[status(thm)],[])).
% 4.39/3.24 tff(6172,plain,
% 4.39/3.24 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s72, s73)) | (~m_main_v_state1(s72, c_t1)) | m_main_v_state1(s73, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s72, c_t1)) | m_main_v_state1(s73, c_t1) | (~node6(s72, s73))))),
% 4.39/3.24 inference(monotonicity,[status(thm)],[6171])).
% 4.39/3.24 tff(6173,plain,
% 4.39/3.24 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s72, s73)) | (~m_main_v_state1(s72, c_t1)) | m_main_v_state1(s73, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s72, c_t1)) | m_main_v_state1(s73, c_t1) | (~node6(s72, s73)))),
% 4.39/3.24 inference(transitivity,[status(thm)],[6172, 6170])).
% 4.39/3.24 tff(6174,plain,
% 4.39/3.24 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s72, s73)) | (~m_main_v_state1(s72, c_t1)) | m_main_v_state1(s73, c_t1))),
% 4.39/3.24 inference(quant_inst,[status(thm)],[])).
% 4.39/3.24 tff(6175,plain,
% 4.39/3.24 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s72, c_t1)) | m_main_v_state1(s73, c_t1) | (~node6(s72, s73))),
% 4.39/3.24 inference(modus_ponens,[status(thm)],[6174, 6173])).
% 4.39/3.24 tff(6176,plain,
% 4.39/3.24 (m_main_v_state1(s73, c_t1)),
% 4.39/3.24 inference(unit_resolution,[status(thm)],[6175, 856, 6080, 6169])).
% 4.39/3.24 tff(6177,plain,
% 4.39/3.24 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s72, c_t2)) | (~m_main_v_state2(s72, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s72, c_t2)) | (~m_main_v_state2(s72, c_c2)))),
% 4.39/3.24 inference(rewrite,[status(thm)],[])).
% 4.39/3.24 tff(6178,plain,
% 4.39/3.24 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s72, c_t2)) | (~m_main_v_state2(s72, c_c2)))),
% 4.39/3.24 inference(quant_inst,[status(thm)],[])).
% 4.39/3.24 tff(6179,plain,
% 4.39/3.24 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s72, c_t2)) | (~m_main_v_state2(s72, c_c2))),
% 4.39/3.24 inference(modus_ponens,[status(thm)],[6178, 6177])).
% 4.39/3.24 tff(6180,plain,
% 4.39/3.24 (~m_main_v_state2(s72, c_t2)),
% 4.39/3.24 inference(unit_resolution,[status(thm)],[6179, 260, 6145])).
% 4.39/3.24 tff(6181,plain,
% 4.39/3.24 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s72, c_t2) | (~node12(s72)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s72, c_t2) | (~node12(s72)))),
% 4.39/3.24 inference(rewrite,[status(thm)],[])).
% 4.39/3.24 tff(6182,plain,
% 4.39/3.24 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s72, c_t2) | (~node12(s72)))),
% 4.39/3.24 inference(quant_inst,[status(thm)],[])).
% 4.39/3.24 tff(6183,plain,
% 4.39/3.24 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s72, c_t2) | (~node12(s72))),
% 4.39/3.24 inference(modus_ponens,[status(thm)],[6182, 6181])).
% 4.39/3.24 tff(6184,plain,
% 4.39/3.24 (~node12(s72)),
% 4.39/3.24 inference(unit_resolution,[status(thm)],[6183, 633, 6180])).
% 4.39/3.24 tff(6185,plain,
% 4.39/3.24 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s72, c_n1) | (~node11(s72)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s72, c_n1) | (~node11(s72)))),
% 4.39/3.24 inference(rewrite,[status(thm)],[])).
% 4.39/3.24 tff(6186,plain,
% 4.39/3.24 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s72, c_n1) | (~node11(s72)))),
% 4.39/3.24 inference(quant_inst,[status(thm)],[])).
% 4.39/3.24 tff(6187,plain,
% 4.39/3.24 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s72, c_n1) | (~node11(s72))),
% 4.39/3.24 inference(modus_ponens,[status(thm)],[6186, 6185])).
% 4.39/3.24 tff(6188,plain,
% 4.39/3.24 (~node11(s72)),
% 4.39/3.24 inference(unit_resolution,[status(thm)],[6187, 238, 6084])).
% 4.39/3.24 tff(6189,plain,
% 4.39/3.24 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s72, c_c1) | (~node10(s72)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s72, c_c1) | (~node10(s72)))),
% 4.39/3.24 inference(rewrite,[status(thm)],[])).
% 4.39/3.24 tff(6190,plain,
% 4.39/3.24 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s72, c_c1) | (~node10(s72)))),
% 4.39/3.24 inference(quant_inst,[status(thm)],[])).
% 4.39/3.24 tff(6191,plain,
% 4.39/3.24 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s72, c_c1) | (~node10(s72))),
% 4.39/3.24 inference(modus_ponens,[status(thm)],[6190, 6189])).
% 4.39/3.24 tff(6192,plain,
% 4.39/3.24 (~node10(s72)),
% 4.39/3.24 inference(unit_resolution,[status(thm)],[6191, 675, 6117])).
% 4.39/3.24 tff(6193,plain,
% 4.39/3.24 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s72, c_n1) | (~node9(s72)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s72, c_n1) | (~node9(s72)))),
% 4.39/3.24 inference(rewrite,[status(thm)],[])).
% 4.39/3.24 tff(6194,plain,
% 4.39/3.24 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s72, c_n1) | (~node9(s72)))),
% 4.39/3.24 inference(quant_inst,[status(thm)],[])).
% 4.39/3.24 tff(6195,plain,
% 4.39/3.24 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s72, c_n1) | (~node9(s72))),
% 4.39/3.24 inference(modus_ponens,[status(thm)],[6194, 6193])).
% 4.39/3.24 tff(6196,plain,
% 4.39/3.24 (~node9(s72)),
% 4.39/3.24 inference(unit_resolution,[status(thm)],[6195, 686, 6084])).
% 4.39/3.24 tff(6197,plain,
% 4.39/3.24 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s72, c_n2) | (~node8(s72)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s72, c_n2) | (~node8(s72)))),
% 4.39/3.24 inference(rewrite,[status(thm)],[])).
% 4.39/3.24 tff(6198,plain,
% 4.39/3.24 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s72, c_n2) | (~node8(s72)))),
% 4.39/3.24 inference(quant_inst,[status(thm)],[])).
% 4.39/3.24 tff(6199,plain,
% 4.39/3.24 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s72, c_n2) | (~node8(s72))),
% 4.39/3.24 inference(modus_ponens,[status(thm)],[6198, 6197])).
% 4.39/3.24 tff(6200,plain,
% 4.39/3.24 (~node8(s72)),
% 4.39/3.24 inference(unit_resolution,[status(thm)],[6199, 271, 6149])).
% 4.39/3.24 tff(6201,plain,
% 4.39/3.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s72, s73)) | node14(s72, s73))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s72, s73)) | node14(s72, s73))),
% 4.39/3.24 inference(rewrite,[status(thm)],[])).
% 4.39/3.24 tff(6202,plain,
% 4.39/3.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s72, s73)) | node14(s72, s73))),
% 4.39/3.24 inference(quant_inst,[status(thm)],[])).
% 4.39/3.24 tff(6203,plain,
% 4.39/3.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s72, s73)) | node14(s72, s73)),
% 4.39/3.24 inference(modus_ponens,[status(thm)],[6202, 6201])).
% 4.39/3.24 tff(6204,plain,
% 4.39/3.24 (node14(s72, s73)),
% 4.39/3.24 inference(unit_resolution,[status(thm)],[6203, 46, 6160])).
% 4.39/3.24 tff(6205,plain,
% 4.39/3.24 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s73, c_n2) | node9(s72) | node8(s72) | node10(s72) | node11(s72) | node12(s72) | (~node14(s72, s73)) | (~m_main_v_state2(s72, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s73, c_n2) | node9(s72) | node8(s72) | node10(s72) | node11(s72) | node12(s72) | (~node14(s72, s73)) | (~m_main_v_state2(s72, c_c2)))),
% 4.39/3.24 inference(rewrite,[status(thm)],[])).
% 4.39/3.24 tff(6206,plain,
% 4.39/3.24 (((~m_main_v_state2(s72, c_c2)) | node9(s72) | node8(s72) | node10(s72) | node11(s72) | node12(s72) | (~node14(s72, s73)) | m_main_v_state2(s73, c_n2)) <=> (m_main_v_state2(s73, c_n2) | node9(s72) | node8(s72) | node10(s72) | node11(s72) | node12(s72) | (~node14(s72, s73)) | (~m_main_v_state2(s72, c_c2)))),
% 4.39/3.24 inference(rewrite,[status(thm)],[])).
% 4.39/3.24 tff(6207,plain,
% 4.39/3.24 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s72, c_c2)) | node9(s72) | node8(s72) | node10(s72) | node11(s72) | node12(s72) | (~node14(s72, s73)) | m_main_v_state2(s73, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s73, c_n2) | node9(s72) | node8(s72) | node10(s72) | node11(s72) | node12(s72) | (~node14(s72, s73)) | (~m_main_v_state2(s72, c_c2))))),
% 4.39/3.24 inference(monotonicity,[status(thm)],[6206])).
% 4.39/3.24 tff(6208,plain,
% 4.39/3.24 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s72, c_c2)) | node9(s72) | node8(s72) | node10(s72) | node11(s72) | node12(s72) | (~node14(s72, s73)) | m_main_v_state2(s73, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s73, c_n2) | node9(s72) | node8(s72) | node10(s72) | node11(s72) | node12(s72) | (~node14(s72, s73)) | (~m_main_v_state2(s72, c_c2)))),
% 4.39/3.24 inference(transitivity,[status(thm)],[6207, 6205])).
% 4.39/3.24 tff(6209,plain,
% 4.39/3.24 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s72, c_c2)) | node9(s72) | node8(s72) | node10(s72) | node11(s72) | node12(s72) | (~node14(s72, s73)) | m_main_v_state2(s73, c_n2))),
% 4.39/3.24 inference(quant_inst,[status(thm)],[])).
% 4.39/3.24 tff(6210,plain,
% 4.39/3.24 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s73, c_n2) | node9(s72) | node8(s72) | node10(s72) | node11(s72) | node12(s72) | (~node14(s72, s73)) | (~m_main_v_state2(s72, c_c2))),
% 4.39/3.24 inference(modus_ponens,[status(thm)],[6209, 6208])).
% 4.39/3.24 tff(6211,plain,
% 4.39/3.24 (m_main_v_state2(s73, c_n2) | node9(s72) | node8(s72) | node10(s72) | node11(s72) | node12(s72) | (~m_main_v_state2(s72, c_c2))),
% 4.39/3.24 inference(unit_resolution,[status(thm)],[6210, 726, 6204])).
% 4.39/3.24 tff(6212,plain,
% 4.39/3.24 (m_main_v_state2(s73, c_n2)),
% 4.39/3.24 inference(unit_resolution,[status(thm)],[6211, 6200, 6145, 6196, 6192, 6188, 6184])).
% 4.39/3.24 tff(6213,plain,
% 4.39/3.24 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s73, c_n2)) | (~m_main_v_state2(s73, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s73, c_n2)) | (~m_main_v_state2(s73, c_t2)))),
% 4.39/3.24 inference(rewrite,[status(thm)],[])).
% 4.39/3.24 tff(6214,plain,
% 4.39/3.24 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s73, c_n2)) | (~m_main_v_state2(s73, c_t2)))),
% 4.39/3.24 inference(quant_inst,[status(thm)],[])).
% 4.39/3.24 tff(6215,plain,
% 4.39/3.24 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s73, c_n2)) | (~m_main_v_state2(s73, c_t2))),
% 4.39/3.24 inference(modus_ponens,[status(thm)],[6214, 6213])).
% 4.39/3.24 tff(6216,plain,
% 4.39/3.24 (~m_main_v_state2(s73, c_t2)),
% 4.39/3.24 inference(unit_resolution,[status(thm)],[6215, 77, 6212])).
% 4.39/3.24 tff(6217,plain,
% 4.39/3.24 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s73, c_t2) | (~node15(s73)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s73, c_t2) | (~node15(s73)))),
% 4.39/3.24 inference(rewrite,[status(thm)],[])).
% 4.39/3.24 tff(6218,plain,
% 4.39/3.24 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s73, c_t2) | (~node15(s73)))),
% 4.39/3.24 inference(quant_inst,[status(thm)],[])).
% 4.39/3.24 tff(6219,plain,
% 4.39/3.24 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s73, c_t2) | (~node15(s73))),
% 4.39/3.24 inference(modus_ponens,[status(thm)],[6218, 6217])).
% 4.39/3.24 tff(6220,plain,
% 4.39/3.24 (~node15(s73)),
% 4.39/3.24 inference(unit_resolution,[status(thm)],[6219, 103, 6216])).
% 4.39/3.24 tff(6221,plain,
% 4.39/3.24 (succ(s73, s74) <=> succ(s73, s74)),
% 4.39/3.24 inference(rewrite,[status(thm)],[])).
% 4.39/3.24 tff(6222,axiom,(succ(s73, s74)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound74')).
% 4.39/3.24 tff(6223,plain,
% 4.39/3.24 (succ(s73, s74)),
% 4.39/3.24 inference(modus_ponens,[status(thm)],[6222, 6221])).
% 4.39/3.24 tff(6224,plain,
% 4.39/3.24 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s73, s74)) | trans(s73, s74))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s73, s74)) | trans(s73, s74))),
% 4.39/3.24 inference(rewrite,[status(thm)],[])).
% 4.39/3.24 tff(6225,plain,
% 4.39/3.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s73, s74)) | trans(s73, s74))),
% 4.39/3.24 inference(quant_inst,[status(thm)],[])).
% 4.39/3.24 tff(6226,plain,
% 4.39/3.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s73, s74)) | trans(s73, s74)),
% 4.39/3.24 inference(modus_ponens,[status(thm)],[6225, 6224])).
% 4.39/3.24 tff(6227,plain,
% 4.39/3.24 (trans(s73, s74)),
% 4.39/3.24 inference(unit_resolution,[status(thm)],[6226, 6223, 32])).
% 4.39/3.24 tff(6228,plain,
% 4.39/3.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s73, s74)) | node18(s73, s74))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s73, s74)) | node18(s73, s74))),
% 4.39/3.24 inference(rewrite,[status(thm)],[])).
% 4.39/3.24 tff(6229,plain,
% 4.39/3.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s73, s74)) | node18(s73, s74))),
% 4.39/3.24 inference(quant_inst,[status(thm)],[])).
% 4.39/3.24 tff(6230,plain,
% 4.39/3.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s73, s74)) | node18(s73, s74)),
% 4.39/3.24 inference(modus_ponens,[status(thm)],[6229, 6228])).
% 4.39/3.24 tff(6231,plain,
% 4.39/3.24 (node18(s73, s74)),
% 4.39/3.24 inference(unit_resolution,[status(thm)],[6230, 125, 6227])).
% 4.39/3.25 tff(6232,plain,
% 4.39/3.25 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s73) | (~node18(s73, s74)) | (~m_main_v_state1(s73, c_t1)) | (~m_main_v_state2(s73, c_n2)) | m_main_v_turn(s74, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s73) | (~node18(s73, s74)) | (~m_main_v_state1(s73, c_t1)) | (~m_main_v_state2(s73, c_n2)) | m_main_v_turn(s74, c_1))),
% 4.39/3.25 inference(rewrite,[status(thm)],[])).
% 4.39/3.25 tff(6233,plain,
% 4.39/3.25 (((~m_main_v_state1(s73, c_t1)) | (~m_main_v_state2(s73, c_n2)) | node15(s73) | (~node18(s73, s74)) | m_main_v_turn(s74, c_1)) <=> (node15(s73) | (~node18(s73, s74)) | (~m_main_v_state1(s73, c_t1)) | (~m_main_v_state2(s73, c_n2)) | m_main_v_turn(s74, c_1))),
% 4.39/3.25 inference(rewrite,[status(thm)],[])).
% 4.39/3.25 tff(6234,plain,
% 4.39/3.25 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s73, c_t1)) | (~m_main_v_state2(s73, c_n2)) | node15(s73) | (~node18(s73, s74)) | m_main_v_turn(s74, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s73) | (~node18(s73, s74)) | (~m_main_v_state1(s73, c_t1)) | (~m_main_v_state2(s73, c_n2)) | m_main_v_turn(s74, c_1)))),
% 4.39/3.25 inference(monotonicity,[status(thm)],[6233])).
% 4.39/3.25 tff(6235,plain,
% 4.39/3.25 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s73, c_t1)) | (~m_main_v_state2(s73, c_n2)) | node15(s73) | (~node18(s73, s74)) | m_main_v_turn(s74, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s73) | (~node18(s73, s74)) | (~m_main_v_state1(s73, c_t1)) | (~m_main_v_state2(s73, c_n2)) | m_main_v_turn(s74, c_1))),
% 4.39/3.25 inference(transitivity,[status(thm)],[6234, 6232])).
% 4.39/3.25 tff(6236,plain,
% 4.39/3.25 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s73, c_t1)) | (~m_main_v_state2(s73, c_n2)) | node15(s73) | (~node18(s73, s74)) | m_main_v_turn(s74, c_1))),
% 4.39/3.25 inference(quant_inst,[status(thm)],[])).
% 4.39/3.25 tff(6237,plain,
% 4.39/3.25 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s73) | (~node18(s73, s74)) | (~m_main_v_state1(s73, c_t1)) | (~m_main_v_state2(s73, c_n2)) | m_main_v_turn(s74, c_1)),
% 4.39/3.25 inference(modus_ponens,[status(thm)],[6236, 6235])).
% 4.39/3.25 tff(6238,plain,
% 4.39/3.25 (node15(s73) | (~m_main_v_state1(s73, c_t1)) | (~m_main_v_state2(s73, c_n2)) | m_main_v_turn(s74, c_1)),
% 4.39/3.25 inference(unit_resolution,[status(thm)],[6237, 992, 6231])).
% 4.39/3.25 tff(6239,plain,
% 4.39/3.25 (m_main_v_turn(s74, c_1)),
% 4.39/3.25 inference(unit_resolution,[status(thm)],[6238, 6220, 6212, 6176])).
% 4.39/3.25 tff(6240,plain,
% 4.39/3.25 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s74, c_1)) | (~m_main_v_turn(s74, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s74, c_1)) | (~m_main_v_turn(s74, c_2)))),
% 4.39/3.25 inference(rewrite,[status(thm)],[])).
% 4.39/3.25 tff(6241,plain,
% 4.39/3.25 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s74, c_1)) | (~m_main_v_turn(s74, c_2)))),
% 4.39/3.25 inference(quant_inst,[status(thm)],[])).
% 4.39/3.25 tff(6242,plain,
% 4.39/3.25 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s74, c_1)) | (~m_main_v_turn(s74, c_2))),
% 4.39/3.25 inference(modus_ponens,[status(thm)],[6241, 6240])).
% 4.39/3.25 tff(6243,plain,
% 4.39/3.25 (~m_main_v_turn(s74, c_2)),
% 4.39/3.25 inference(unit_resolution,[status(thm)],[6242, 156, 6239])).
% 4.39/3.25 tff(6244,plain,
% 4.39/3.25 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s74, c_2) | (~node12(s74)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s74, c_2) | (~node12(s74)))),
% 4.39/3.25 inference(rewrite,[status(thm)],[])).
% 4.39/3.25 tff(6245,plain,
% 4.39/3.25 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s74, c_2) | (~node12(s74)))),
% 4.39/3.25 inference(quant_inst,[status(thm)],[])).
% 4.39/3.25 tff(6246,plain,
% 4.39/3.25 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s74, c_2) | (~node12(s74))),
% 4.39/3.25 inference(modus_ponens,[status(thm)],[6245, 6244])).
% 4.39/3.25 tff(6247,plain,
% 4.39/3.25 (~node12(s74)),
% 4.39/3.25 inference(unit_resolution,[status(thm)],[6246, 184, 6243])).
% 4.39/3.25 tff(6248,plain,
% 4.39/3.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s73, s74)) | node14(s73, s74))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s73, s74)) | node14(s73, s74))),
% 4.39/3.25 inference(rewrite,[status(thm)],[])).
% 4.39/3.25 tff(6249,plain,
% 4.39/3.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s73, s74)) | node14(s73, s74))),
% 4.39/3.25 inference(quant_inst,[status(thm)],[])).
% 4.39/3.25 tff(6250,plain,
% 4.39/3.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s73, s74)) | node14(s73, s74)),
% 4.39/3.25 inference(modus_ponens,[status(thm)],[6249, 6248])).
% 4.39/3.25 tff(6251,plain,
% 4.39/3.25 (node14(s73, s74)),
% 4.39/3.25 inference(unit_resolution,[status(thm)],[6250, 46, 6227])).
% 4.39/3.25 tff(6252,plain,
% 4.39/3.25 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s73, c_t1)) | (~m_main_v_state2(s73, c_n2)) | (~node14(s73, s74)) | m_main_v_state2(s74, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s73, c_t1)) | (~m_main_v_state2(s73, c_n2)) | (~node14(s73, s74)) | m_main_v_state2(s74, c_t2))),
% 4.39/3.25 inference(rewrite,[status(thm)],[])).
% 4.39/3.25 tff(6253,plain,
% 4.39/3.25 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s73, c_t1)) | (~m_main_v_state2(s73, c_n2)) | (~node14(s73, s74)) | m_main_v_state2(s74, c_t2))),
% 4.39/3.25 inference(quant_inst,[status(thm)],[])).
% 4.39/3.25 tff(6254,plain,
% 4.39/3.25 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s73, c_t1)) | (~m_main_v_state2(s73, c_n2)) | (~node14(s73, s74)) | m_main_v_state2(s74, c_t2)),
% 4.39/3.25 inference(modus_ponens,[status(thm)],[6253, 6252])).
% 4.39/3.25 tff(6255,plain,
% 4.39/3.25 ((~m_main_v_state1(s73, c_t1)) | (~m_main_v_state2(s73, c_n2)) | m_main_v_state2(s74, c_t2)),
% 4.39/3.25 inference(unit_resolution,[status(thm)],[6254, 922, 6251])).
% 4.39/3.25 tff(6256,plain,
% 4.39/3.25 (m_main_v_state2(s74, c_t2)),
% 4.39/3.25 inference(unit_resolution,[status(thm)],[6255, 6176, 6212])).
% 4.39/3.25 tff(6257,plain,
% 4.39/3.25 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s74, c_n2)) | (~m_main_v_state2(s74, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s74, c_n2)) | (~m_main_v_state2(s74, c_t2)))),
% 4.39/3.25 inference(rewrite,[status(thm)],[])).
% 4.39/3.25 tff(6258,plain,
% 4.39/3.25 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s74, c_n2)) | (~m_main_v_state2(s74, c_t2)))),
% 4.39/3.25 inference(quant_inst,[status(thm)],[])).
% 4.39/3.25 tff(6259,plain,
% 4.39/3.25 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s74, c_n2)) | (~m_main_v_state2(s74, c_t2))),
% 4.39/3.25 inference(modus_ponens,[status(thm)],[6258, 6257])).
% 4.39/3.25 tff(6260,plain,
% 4.39/3.25 (~m_main_v_state2(s74, c_n2)),
% 4.39/3.25 inference(unit_resolution,[status(thm)],[6259, 77, 6256])).
% 4.39/3.25 tff(6261,plain,
% 4.39/3.25 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s74, c_n2) | (~node8(s74)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s74, c_n2) | (~node8(s74)))),
% 4.39/3.25 inference(rewrite,[status(thm)],[])).
% 4.39/3.25 tff(6262,plain,
% 4.39/3.25 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s74, c_n2) | (~node8(s74)))),
% 4.39/3.25 inference(quant_inst,[status(thm)],[])).
% 4.39/3.25 tff(6263,plain,
% 4.39/3.25 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s74, c_n2) | (~node8(s74))),
% 4.39/3.25 inference(modus_ponens,[status(thm)],[6262, 6261])).
% 4.39/3.25 tff(6264,plain,
% 4.39/3.25 (~node8(s74)),
% 4.39/3.25 inference(unit_resolution,[status(thm)],[6263, 271, 6260])).
% 4.39/3.25 tff(6265,plain,
% 4.39/3.25 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s74, c_n2) | (~node9(s74)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s74, c_n2) | (~node9(s74)))),
% 4.39/3.25 inference(rewrite,[status(thm)],[])).
% 4.39/3.25 tff(6266,plain,
% 4.39/3.25 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s74, c_n2) | (~node9(s74)))),
% 4.39/3.25 inference(quant_inst,[status(thm)],[])).
% 4.39/3.25 tff(6267,plain,
% 4.39/3.25 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s74, c_n2) | (~node9(s74))),
% 4.39/3.25 inference(modus_ponens,[status(thm)],[6266, 6265])).
% 4.39/3.25 tff(6268,plain,
% 4.39/3.25 (~node9(s74)),
% 4.39/3.25 inference(unit_resolution,[status(thm)],[6267, 88, 6260])).
% 4.39/3.25 tff(6269,plain,
% 4.39/3.25 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s74, c_n2) | (~node10(s74)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s74, c_n2) | (~node10(s74)))),
% 4.39/3.25 inference(rewrite,[status(thm)],[])).
% 4.39/3.25 tff(6270,plain,
% 4.39/3.25 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s74, c_n2) | (~node10(s74)))),
% 4.39/3.25 inference(quant_inst,[status(thm)],[])).
% 4.39/3.25 tff(6271,plain,
% 4.39/3.25 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s74, c_n2) | (~node10(s74))),
% 4.39/3.25 inference(modus_ponens,[status(thm)],[6270, 6269])).
% 4.39/3.25 tff(6272,plain,
% 4.39/3.25 (~node10(s74)),
% 4.39/3.25 inference(unit_resolution,[status(thm)],[6271, 249, 6260])).
% 4.39/3.25 tff(6273,plain,
% 4.39/3.25 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s74, c_t2)) | (~m_main_v_state2(s74, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s74, c_t2)) | (~m_main_v_state2(s74, c_c2)))),
% 4.39/3.25 inference(rewrite,[status(thm)],[])).
% 4.39/3.25 tff(6274,plain,
% 4.39/3.25 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s74, c_t2)) | (~m_main_v_state2(s74, c_c2)))),
% 4.39/3.25 inference(quant_inst,[status(thm)],[])).
% 4.39/3.25 tff(6275,plain,
% 4.39/3.25 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s74, c_t2)) | (~m_main_v_state2(s74, c_c2))),
% 4.39/3.25 inference(modus_ponens,[status(thm)],[6274, 6273])).
% 4.39/3.25 tff(6276,plain,
% 4.39/3.25 (~m_main_v_state2(s74, c_c2)),
% 4.39/3.25 inference(unit_resolution,[status(thm)],[6275, 260, 6256])).
% 4.39/3.25 tff(6277,plain,
% 4.39/3.25 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s73, c_n2)) | (~m_main_v_state2(s73, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s73, c_n2)) | (~m_main_v_state2(s73, c_c2)))),
% 4.39/3.25 inference(rewrite,[status(thm)],[])).
% 4.39/3.25 tff(6278,plain,
% 4.39/3.25 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s73, c_n2)) | (~m_main_v_state2(s73, c_c2)))),
% 4.39/3.25 inference(quant_inst,[status(thm)],[])).
% 4.39/3.25 tff(6279,plain,
% 4.39/3.25 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s73, c_n2)) | (~m_main_v_state2(s73, c_c2))),
% 4.39/3.25 inference(modus_ponens,[status(thm)],[6278, 6277])).
% 4.39/3.25 tff(6280,plain,
% 4.39/3.25 (~m_main_v_state2(s73, c_c2)),
% 4.39/3.25 inference(unit_resolution,[status(thm)],[6279, 697, 6212])).
% 4.39/3.25 tff(6281,plain,
% 4.39/3.25 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s73, c_c2) | (~node3(s73)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s73, c_c2) | (~node3(s73)))),
% 4.39/3.25 inference(rewrite,[status(thm)],[])).
% 4.39/3.25 tff(6282,plain,
% 4.39/3.25 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s73, c_c2) | (~node3(s73)))),
% 4.39/3.25 inference(quant_inst,[status(thm)],[])).
% 4.39/3.25 tff(6283,plain,
% 4.39/3.25 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s73, c_c2) | (~node3(s73))),
% 4.39/3.25 inference(modus_ponens,[status(thm)],[6282, 6281])).
% 4.39/3.25 tff(6284,plain,
% 4.39/3.25 (~node3(s73)),
% 4.39/3.25 inference(unit_resolution,[status(thm)],[6283, 399, 6280])).
% 4.39/3.25 tff(6285,plain,
% 4.39/3.25 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s72, c_n1) | (~m_main_v_state1(s73, c_n1)) | (~node6(s72, s73)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s72, c_n1) | (~m_main_v_state1(s73, c_n1)) | (~node6(s72, s73)))),
% 4.39/3.25 inference(rewrite,[status(thm)],[])).
% 4.39/3.25 tff(6286,plain,
% 4.39/3.25 (((~node6(s72, s73)) | m_main_v_state1(s72, c_n1) | (~m_main_v_state1(s73, c_n1))) <=> (m_main_v_state1(s72, c_n1) | (~m_main_v_state1(s73, c_n1)) | (~node6(s72, s73)))),
% 4.39/3.25 inference(rewrite,[status(thm)],[])).
% 4.39/3.25 tff(6287,plain,
% 4.39/3.25 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s72, s73)) | m_main_v_state1(s72, c_n1) | (~m_main_v_state1(s73, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s72, c_n1) | (~m_main_v_state1(s73, c_n1)) | (~node6(s72, s73))))),
% 4.39/3.25 inference(monotonicity,[status(thm)],[6286])).
% 4.39/3.25 tff(6288,plain,
% 4.39/3.25 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s72, s73)) | m_main_v_state1(s72, c_n1) | (~m_main_v_state1(s73, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s72, c_n1) | (~m_main_v_state1(s73, c_n1)) | (~node6(s72, s73)))),
% 4.39/3.25 inference(transitivity,[status(thm)],[6287, 6285])).
% 4.39/3.25 tff(6289,plain,
% 4.39/3.25 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s72, s73)) | m_main_v_state1(s72, c_n1) | (~m_main_v_state1(s73, c_n1)))),
% 4.39/3.25 inference(quant_inst,[status(thm)],[])).
% 4.39/3.25 tff(6290,plain,
% 4.39/3.25 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s72, c_n1) | (~m_main_v_state1(s73, c_n1)) | (~node6(s72, s73))),
% 4.39/3.25 inference(modus_ponens,[status(thm)],[6289, 6288])).
% 4.39/3.25 tff(6291,plain,
% 4.39/3.25 (~m_main_v_state1(s73, c_n1)),
% 4.39/3.25 inference(unit_resolution,[status(thm)],[6290, 835, 6084, 6169])).
% 4.39/3.25 tff(6292,plain,
% 4.39/3.25 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s73, c_n1) | (~node2(s73)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s73, c_n1) | (~node2(s73)))),
% 4.39/3.25 inference(rewrite,[status(thm)],[])).
% 4.39/3.25 tff(6293,plain,
% 4.39/3.25 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s73, c_n1) | (~node2(s73)))),
% 4.39/3.25 inference(quant_inst,[status(thm)],[])).
% 4.39/3.25 tff(6294,plain,
% 4.39/3.25 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s73, c_n1) | (~node2(s73))),
% 4.39/3.25 inference(modus_ponens,[status(thm)],[6293, 6292])).
% 4.39/3.25 tff(6295,plain,
% 4.39/3.25 (~node2(s73)),
% 4.39/3.25 inference(unit_resolution,[status(thm)],[6294, 787, 6291])).
% 4.39/3.25 tff(6296,plain,
% 4.39/3.25 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s73, c_t2) | (~node1(s73)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s73, c_t2) | (~node1(s73)))),
% 4.39/3.25 inference(rewrite,[status(thm)],[])).
% 4.39/3.25 tff(6297,plain,
% 4.39/3.25 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s73, c_t2) | (~node1(s73)))),
% 4.39/3.25 inference(quant_inst,[status(thm)],[])).
% 4.39/3.25 tff(6298,plain,
% 4.39/3.25 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s73, c_t2) | (~node1(s73))),
% 4.39/3.25 inference(modus_ponens,[status(thm)],[6297, 6296])).
% 4.39/3.25 tff(6299,plain,
% 4.39/3.25 (~node1(s73)),
% 4.39/3.25 inference(unit_resolution,[status(thm)],[6298, 195, 6216])).
% 4.39/3.25 tff(6300,plain,
% 4.39/3.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s73, s74)) | node7(s73, s74))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s73, s74)) | node7(s73, s74))),
% 4.39/3.25 inference(rewrite,[status(thm)],[])).
% 4.39/3.25 tff(6301,plain,
% 4.39/3.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s73, s74)) | node7(s73, s74))),
% 4.41/3.25 inference(quant_inst,[status(thm)],[])).
% 4.41/3.25 tff(6302,plain,
% 4.41/3.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s73, s74)) | node7(s73, s74)),
% 4.41/3.25 inference(modus_ponens,[status(thm)],[6301, 6300])).
% 4.41/3.25 tff(6303,plain,
% 4.41/3.25 (node7(s73, s74)),
% 4.41/3.25 inference(unit_resolution,[status(thm)],[6302, 206, 6227])).
% 4.41/3.25 tff(6304,plain,
% 4.41/3.25 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s73, c_t1)) | (~m_main_v_state2(s73, c_n2)) | m_main_v_state1(s74, c_c1) | node1(s73) | node2(s73) | node3(s73) | (~node7(s73, s74)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s73, c_t1)) | (~m_main_v_state2(s73, c_n2)) | m_main_v_state1(s74, c_c1) | node1(s73) | node2(s73) | node3(s73) | (~node7(s73, s74)))),
% 4.41/3.25 inference(rewrite,[status(thm)],[])).
% 4.41/3.25 tff(6305,plain,
% 4.41/3.25 (((~m_main_v_state1(s73, c_t1)) | (~m_main_v_state2(s73, c_n2)) | node1(s73) | node2(s73) | node3(s73) | (~node7(s73, s74)) | m_main_v_state1(s74, c_c1)) <=> ((~m_main_v_state1(s73, c_t1)) | (~m_main_v_state2(s73, c_n2)) | m_main_v_state1(s74, c_c1) | node1(s73) | node2(s73) | node3(s73) | (~node7(s73, s74)))),
% 4.41/3.25 inference(rewrite,[status(thm)],[])).
% 4.41/3.25 tff(6306,plain,
% 4.41/3.25 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s73, c_t1)) | (~m_main_v_state2(s73, c_n2)) | node1(s73) | node2(s73) | node3(s73) | (~node7(s73, s74)) | m_main_v_state1(s74, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s73, c_t1)) | (~m_main_v_state2(s73, c_n2)) | m_main_v_state1(s74, c_c1) | node1(s73) | node2(s73) | node3(s73) | (~node7(s73, s74))))),
% 4.41/3.25 inference(monotonicity,[status(thm)],[6305])).
% 4.41/3.25 tff(6307,plain,
% 4.41/3.25 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s73, c_t1)) | (~m_main_v_state2(s73, c_n2)) | node1(s73) | node2(s73) | node3(s73) | (~node7(s73, s74)) | m_main_v_state1(s74, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s73, c_t1)) | (~m_main_v_state2(s73, c_n2)) | m_main_v_state1(s74, c_c1) | node1(s73) | node2(s73) | node3(s73) | (~node7(s73, s74)))),
% 4.41/3.25 inference(transitivity,[status(thm)],[6306, 6304])).
% 4.41/3.25 tff(6308,plain,
% 4.41/3.25 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s73, c_t1)) | (~m_main_v_state2(s73, c_n2)) | node1(s73) | node2(s73) | node3(s73) | (~node7(s73, s74)) | m_main_v_state1(s74, c_c1))),
% 4.41/3.25 inference(quant_inst,[status(thm)],[])).
% 4.41/3.25 tff(6309,plain,
% 4.41/3.25 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s73, c_t1)) | (~m_main_v_state2(s73, c_n2)) | m_main_v_state1(s74, c_c1) | node1(s73) | node2(s73) | node3(s73) | (~node7(s73, s74))),
% 4.41/3.25 inference(modus_ponens,[status(thm)],[6308, 6307])).
% 4.41/3.25 tff(6310,plain,
% 4.41/3.25 ((~m_main_v_state1(s73, c_t1)) | (~m_main_v_state2(s73, c_n2)) | m_main_v_state1(s74, c_c1) | node1(s73) | node2(s73) | node3(s73)),
% 4.41/3.25 inference(unit_resolution,[status(thm)],[6309, 892, 6303])).
% 4.41/3.25 tff(6311,plain,
% 4.41/3.25 (m_main_v_state1(s74, c_c1)),
% 4.41/3.25 inference(unit_resolution,[status(thm)],[6310, 6299, 6212, 6176, 6295, 6284])).
% 4.41/3.25 tff(6312,plain,
% 4.41/3.25 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s74, c_n1)) | (~m_main_v_state1(s74, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s74, c_n1)) | (~m_main_v_state1(s74, c_c1)))),
% 4.41/3.25 inference(rewrite,[status(thm)],[])).
% 4.41/3.25 tff(6313,plain,
% 4.41/3.25 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s74, c_n1)) | (~m_main_v_state1(s74, c_c1)))),
% 4.41/3.25 inference(quant_inst,[status(thm)],[])).
% 4.41/3.25 tff(6314,plain,
% 4.41/3.25 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s74, c_n1)) | (~m_main_v_state1(s74, c_c1))),
% 4.41/3.25 inference(modus_ponens,[status(thm)],[6313, 6312])).
% 4.41/3.25 tff(6315,plain,
% 4.41/3.25 (~m_main_v_state1(s74, c_n1)),
% 4.41/3.25 inference(unit_resolution,[status(thm)],[6314, 454, 6311])).
% 4.41/3.25 tff(6316,plain,
% 4.41/3.25 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s74, c_n1) | (~node11(s74)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s74, c_n1) | (~node11(s74)))),
% 4.41/3.25 inference(rewrite,[status(thm)],[])).
% 4.41/3.25 tff(6317,plain,
% 4.41/3.25 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s74, c_n1) | (~node11(s74)))),
% 4.41/3.25 inference(quant_inst,[status(thm)],[])).
% 4.41/3.25 tff(6318,plain,
% 4.41/3.25 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s74, c_n1) | (~node11(s74))),
% 4.41/3.25 inference(modus_ponens,[status(thm)],[6317, 6316])).
% 4.41/3.25 tff(6319,plain,
% 4.41/3.25 (~node11(s74)),
% 4.41/3.25 inference(unit_resolution,[status(thm)],[6318, 238, 6315])).
% 4.41/3.25 tff(6320,plain,
% 4.41/3.25 (succ(s74, s75) <=> succ(s74, s75)),
% 4.41/3.25 inference(rewrite,[status(thm)],[])).
% 4.41/3.25 tff(6321,axiom,(succ(s74, s75)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound75')).
% 4.41/3.25 tff(6322,plain,
% 4.41/3.25 (succ(s74, s75)),
% 4.41/3.25 inference(modus_ponens,[status(thm)],[6321, 6320])).
% 4.41/3.25 tff(6323,plain,
% 4.41/3.25 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s74, s75)) | trans(s74, s75))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s74, s75)) | trans(s74, s75))),
% 4.41/3.25 inference(rewrite,[status(thm)],[])).
% 4.41/3.25 tff(6324,plain,
% 4.41/3.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s74, s75)) | trans(s74, s75))),
% 4.41/3.25 inference(quant_inst,[status(thm)],[])).
% 4.41/3.25 tff(6325,plain,
% 4.41/3.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s74, s75)) | trans(s74, s75)),
% 4.41/3.25 inference(modus_ponens,[status(thm)],[6324, 6323])).
% 4.41/3.25 tff(6326,plain,
% 4.41/3.25 (trans(s74, s75)),
% 4.41/3.25 inference(unit_resolution,[status(thm)],[6325, 6322, 32])).
% 4.41/3.25 tff(6327,plain,
% 4.41/3.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s74, s75)) | node14(s74, s75))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s74, s75)) | node14(s74, s75))),
% 4.41/3.25 inference(rewrite,[status(thm)],[])).
% 4.41/3.25 tff(6328,plain,
% 4.41/3.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s74, s75)) | node14(s74, s75))),
% 4.41/3.25 inference(quant_inst,[status(thm)],[])).
% 4.41/3.25 tff(6329,plain,
% 4.41/3.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s74, s75)) | node14(s74, s75)),
% 4.41/3.25 inference(modus_ponens,[status(thm)],[6328, 6327])).
% 4.41/3.25 tff(6330,plain,
% 4.41/3.25 (node14(s74, s75)),
% 4.41/3.25 inference(unit_resolution,[status(thm)],[6329, 46, 6326])).
% 4.41/3.25 tff(6331,plain,
% 4.41/3.25 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s74, c_c2) | node9(s74) | node8(s74) | node10(s74) | node11(s74) | node12(s74) | node13(s74, s75) | (~node14(s74, s75)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s74, c_c2) | node9(s74) | node8(s74) | node10(s74) | node11(s74) | node12(s74) | node13(s74, s75) | (~node14(s74, s75)))),
% 4.41/3.25 inference(rewrite,[status(thm)],[])).
% 4.41/3.25 tff(6332,plain,
% 4.41/3.25 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s74, c_c2) | node9(s74) | node8(s74) | node10(s74) | node11(s74) | node12(s74) | node13(s74, s75) | (~node14(s74, s75)))),
% 4.41/3.26 inference(quant_inst,[status(thm)],[])).
% 4.41/3.26 tff(6333,plain,
% 4.41/3.26 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s74, c_c2) | node9(s74) | node8(s74) | node10(s74) | node11(s74) | node12(s74) | node13(s74, s75) | (~node14(s74, s75))),
% 4.41/3.26 inference(modus_ponens,[status(thm)],[6332, 6331])).
% 4.41/3.26 tff(6334,plain,
% 4.41/3.26 (m_main_v_state2(s74, c_c2) | node9(s74) | node8(s74) | node10(s74) | node11(s74) | node12(s74) | node13(s74, s75)),
% 4.41/3.26 inference(unit_resolution,[status(thm)],[6333, 296, 6330])).
% 4.41/3.26 tff(6335,plain,
% 4.41/3.26 (node13(s74, s75)),
% 4.41/3.26 inference(unit_resolution,[status(thm)],[6334, 6319, 6276, 6272, 6268, 6264, 6247])).
% 4.41/3.26 tff(6336,plain,
% 4.41/3.26 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s74, c_n2) | (~m_main_v_state2(s75, c_n2)) | (~node13(s74, s75)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s74, c_n2) | (~m_main_v_state2(s75, c_n2)) | (~node13(s74, s75)))),
% 4.41/3.26 inference(rewrite,[status(thm)],[])).
% 4.41/3.26 tff(6337,plain,
% 4.41/3.26 (((~node13(s74, s75)) | m_main_v_state2(s74, c_n2) | (~m_main_v_state2(s75, c_n2))) <=> (m_main_v_state2(s74, c_n2) | (~m_main_v_state2(s75, c_n2)) | (~node13(s74, s75)))),
% 4.41/3.26 inference(rewrite,[status(thm)],[])).
% 4.41/3.26 tff(6338,plain,
% 4.41/3.26 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s74, s75)) | m_main_v_state2(s74, c_n2) | (~m_main_v_state2(s75, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s74, c_n2) | (~m_main_v_state2(s75, c_n2)) | (~node13(s74, s75))))),
% 4.41/3.26 inference(monotonicity,[status(thm)],[6337])).
% 4.41/3.26 tff(6339,plain,
% 4.41/3.26 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s74, s75)) | m_main_v_state2(s74, c_n2) | (~m_main_v_state2(s75, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s74, c_n2) | (~m_main_v_state2(s75, c_n2)) | (~node13(s74, s75)))),
% 4.41/3.26 inference(transitivity,[status(thm)],[6338, 6336])).
% 4.41/3.26 tff(6340,plain,
% 4.41/3.26 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s74, s75)) | m_main_v_state2(s74, c_n2) | (~m_main_v_state2(s75, c_n2)))),
% 4.41/3.26 inference(quant_inst,[status(thm)],[])).
% 4.41/3.26 tff(6341,plain,
% 4.41/3.26 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s74, c_n2) | (~m_main_v_state2(s75, c_n2)) | (~node13(s74, s75))),
% 4.41/3.26 inference(modus_ponens,[status(thm)],[6340, 6339])).
% 4.41/3.26 tff(6342,plain,
% 4.41/3.26 (~m_main_v_state2(s75, c_n2)),
% 4.41/3.26 inference(unit_resolution,[status(thm)],[6341, 311, 6260, 6335])).
% 4.41/3.26 tff(6343,plain,
% 4.41/3.26 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s75, c_n2) | (~node9(s75)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s75, c_n2) | (~node9(s75)))),
% 4.41/3.26 inference(rewrite,[status(thm)],[])).
% 4.41/3.26 tff(6344,plain,
% 4.41/3.26 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s75, c_n2) | (~node9(s75)))),
% 4.41/3.26 inference(quant_inst,[status(thm)],[])).
% 4.41/3.26 tff(6345,plain,
% 4.41/3.26 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s75, c_n2) | (~node9(s75))),
% 4.41/3.26 inference(modus_ponens,[status(thm)],[6344, 6343])).
% 4.41/3.26 tff(6346,plain,
% 4.41/3.26 (~node9(s75)),
% 4.41/3.26 inference(unit_resolution,[status(thm)],[6345, 88, 6342])).
% 4.41/3.26 tff(6347,plain,
% 4.41/3.26 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s75, c_n2) | (~node10(s75)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s75, c_n2) | (~node10(s75)))),
% 4.41/3.26 inference(rewrite,[status(thm)],[])).
% 4.41/3.26 tff(6348,plain,
% 4.41/3.26 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s75, c_n2) | (~node10(s75)))),
% 4.41/3.26 inference(quant_inst,[status(thm)],[])).
% 4.41/3.26 tff(6349,plain,
% 4.41/3.26 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s75, c_n2) | (~node10(s75))),
% 4.41/3.26 inference(modus_ponens,[status(thm)],[6348, 6347])).
% 4.41/3.26 tff(6350,plain,
% 4.41/3.26 (~node10(s75)),
% 4.41/3.26 inference(unit_resolution,[status(thm)],[6349, 249, 6342])).
% 4.41/3.26 tff(6351,plain,
% 4.41/3.26 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s74, c_t2)) | m_main_v_state2(s75, c_t2) | (~node13(s74, s75)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s74, c_t2)) | m_main_v_state2(s75, c_t2) | (~node13(s74, s75)))),
% 4.41/3.26 inference(rewrite,[status(thm)],[])).
% 4.41/3.26 tff(6352,plain,
% 4.41/3.26 (((~node13(s74, s75)) | (~m_main_v_state2(s74, c_t2)) | m_main_v_state2(s75, c_t2)) <=> ((~m_main_v_state2(s74, c_t2)) | m_main_v_state2(s75, c_t2) | (~node13(s74, s75)))),
% 4.41/3.26 inference(rewrite,[status(thm)],[])).
% 4.41/3.26 tff(6353,plain,
% 4.41/3.26 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s74, s75)) | (~m_main_v_state2(s74, c_t2)) | m_main_v_state2(s75, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s74, c_t2)) | m_main_v_state2(s75, c_t2) | (~node13(s74, s75))))),
% 4.41/3.26 inference(monotonicity,[status(thm)],[6352])).
% 4.41/3.26 tff(6354,plain,
% 4.41/3.26 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s74, s75)) | (~m_main_v_state2(s74, c_t2)) | m_main_v_state2(s75, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s74, c_t2)) | m_main_v_state2(s75, c_t2) | (~node13(s74, s75)))),
% 4.41/3.26 inference(transitivity,[status(thm)],[6353, 6351])).
% 4.41/3.26 tff(6355,plain,
% 4.41/3.26 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s74, s75)) | (~m_main_v_state2(s74, c_t2)) | m_main_v_state2(s75, c_t2))),
% 4.41/3.26 inference(quant_inst,[status(thm)],[])).
% 4.41/3.26 tff(6356,plain,
% 4.41/3.26 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s74, c_t2)) | m_main_v_state2(s75, c_t2) | (~node13(s74, s75))),
% 4.41/3.26 inference(modus_ponens,[status(thm)],[6355, 6354])).
% 4.41/3.26 tff(6357,plain,
% 4.41/3.26 (m_main_v_state2(s75, c_t2)),
% 4.41/3.26 inference(unit_resolution,[status(thm)],[6356, 518, 6256, 6335])).
% 4.41/3.26 tff(6358,plain,
% 4.41/3.26 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s74, c_t1)) | (~m_main_v_state1(s74, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s74, c_t1)) | (~m_main_v_state1(s74, c_c1)))),
% 4.41/3.26 inference(rewrite,[status(thm)],[])).
% 4.41/3.26 tff(6359,plain,
% 4.41/3.26 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s74, c_t1)) | (~m_main_v_state1(s74, c_c1)))),
% 4.41/3.26 inference(quant_inst,[status(thm)],[])).
% 4.41/3.26 tff(6360,plain,
% 4.41/3.26 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s74, c_t1)) | (~m_main_v_state1(s74, c_c1))),
% 4.41/3.26 inference(modus_ponens,[status(thm)],[6359, 6358])).
% 4.41/3.26 tff(6361,plain,
% 4.41/3.26 (~m_main_v_state1(s74, c_t1)),
% 4.41/3.26 inference(unit_resolution,[status(thm)],[6360, 539, 6311])).
% 4.41/3.26 tff(6362,plain,
% 4.41/3.26 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s74, c_t1) | (~node5(s74)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s74, c_t1) | (~node5(s74)))),
% 4.41/3.26 inference(rewrite,[status(thm)],[])).
% 4.41/3.26 tff(6363,plain,
% 4.41/3.26 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s74, c_t1) | (~node5(s74)))),
% 4.41/3.26 inference(quant_inst,[status(thm)],[])).
% 4.41/3.26 tff(6364,plain,
% 4.41/3.26 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s74, c_t1) | (~node5(s74))),
% 4.41/3.26 inference(modus_ponens,[status(thm)],[6363, 6362])).
% 4.41/3.26 tff(6365,plain,
% 4.41/3.26 (~node5(s74)),
% 4.41/3.26 inference(unit_resolution,[status(thm)],[6364, 550, 6361])).
% 4.41/3.26 tff(6366,plain,
% 4.41/3.26 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s74, c_n2) | (~node4(s74)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s74, c_n2) | (~node4(s74)))),
% 4.41/3.26 inference(rewrite,[status(thm)],[])).
% 4.41/3.26 tff(6367,plain,
% 4.41/3.26 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s74, c_n2) | (~node4(s74)))),
% 4.41/3.26 inference(quant_inst,[status(thm)],[])).
% 4.41/3.26 tff(6368,plain,
% 4.41/3.26 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s74, c_n2) | (~node4(s74))),
% 4.41/3.26 inference(modus_ponens,[status(thm)],[6367, 6366])).
% 4.41/3.26 tff(6369,plain,
% 4.41/3.26 (~node4(s74)),
% 4.41/3.26 inference(unit_resolution,[status(thm)],[6368, 388, 6260])).
% 4.41/3.26 tff(6370,plain,
% 4.41/3.26 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s74, c_c2) | (~node3(s74)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s74, c_c2) | (~node3(s74)))),
% 4.41/3.26 inference(rewrite,[status(thm)],[])).
% 4.41/3.26 tff(6371,plain,
% 4.41/3.26 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s74, c_c2) | (~node3(s74)))),
% 4.41/3.26 inference(quant_inst,[status(thm)],[])).
% 4.41/3.26 tff(6372,plain,
% 4.41/3.26 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s74, c_c2) | (~node3(s74))),
% 4.41/3.26 inference(modus_ponens,[status(thm)],[6371, 6370])).
% 4.41/3.26 tff(6373,plain,
% 4.41/3.26 (~node3(s74)),
% 4.41/3.26 inference(unit_resolution,[status(thm)],[6372, 399, 6276])).
% 4.41/3.26 tff(6374,plain,
% 4.41/3.26 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s74, c_n2) | (~node2(s74)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s74, c_n2) | (~node2(s74)))),
% 4.41/3.26 inference(rewrite,[status(thm)],[])).
% 4.41/3.26 tff(6375,plain,
% 4.41/3.26 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s74, c_n2) | (~node2(s74)))),
% 4.41/3.26 inference(quant_inst,[status(thm)],[])).
% 4.41/3.26 tff(6376,plain,
% 4.41/3.26 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s74, c_n2) | (~node2(s74))),
% 4.41/3.26 inference(modus_ponens,[status(thm)],[6375, 6374])).
% 4.41/3.26 tff(6377,plain,
% 4.41/3.26 (~node2(s74)),
% 4.41/3.26 inference(unit_resolution,[status(thm)],[6376, 410, 6260])).
% 4.41/3.26 tff(6378,plain,
% 4.41/3.26 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s74, c_n1) | (~node1(s74)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s74, c_n1) | (~node1(s74)))),
% 4.41/3.26 inference(rewrite,[status(thm)],[])).
% 4.41/3.26 tff(6379,plain,
% 4.41/3.26 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s74, c_n1) | (~node1(s74)))),
% 4.41/3.26 inference(quant_inst,[status(thm)],[])).
% 4.41/3.26 tff(6380,plain,
% 4.41/3.26 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s74, c_n1) | (~node1(s74))),
% 4.41/3.26 inference(modus_ponens,[status(thm)],[6379, 6378])).
% 4.41/3.26 tff(6381,plain,
% 4.41/3.26 (~node1(s74)),
% 4.41/3.26 inference(unit_resolution,[status(thm)],[6380, 421, 6315])).
% 4.41/3.26 tff(6382,plain,
% 4.41/3.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s74, s75)) | node7(s74, s75))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s74, s75)) | node7(s74, s75))),
% 4.41/3.26 inference(rewrite,[status(thm)],[])).
% 4.41/3.26 tff(6383,plain,
% 4.41/3.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s74, s75)) | node7(s74, s75))),
% 4.41/3.26 inference(quant_inst,[status(thm)],[])).
% 4.41/3.26 tff(6384,plain,
% 4.41/3.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s74, s75)) | node7(s74, s75)),
% 4.41/3.26 inference(modus_ponens,[status(thm)],[6383, 6382])).
% 4.41/3.26 tff(6385,plain,
% 4.41/3.26 (node7(s74, s75)),
% 4.41/3.26 inference(unit_resolution,[status(thm)],[6384, 206, 6326])).
% 4.41/3.26 tff(6386,plain,
% 4.41/3.26 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s75, c_n1) | (~m_main_v_state1(s74, c_c1)) | node1(s74) | node2(s74) | node3(s74) | node4(s74) | node5(s74) | (~node7(s74, s75)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s75, c_n1) | (~m_main_v_state1(s74, c_c1)) | node1(s74) | node2(s74) | node3(s74) | node4(s74) | node5(s74) | (~node7(s74, s75)))),
% 4.41/3.26 inference(rewrite,[status(thm)],[])).
% 4.41/3.26 tff(6387,plain,
% 4.41/3.26 (((~m_main_v_state1(s74, c_c1)) | node1(s74) | node2(s74) | node3(s74) | node4(s74) | node5(s74) | (~node7(s74, s75)) | m_main_v_state1(s75, c_n1)) <=> (m_main_v_state1(s75, c_n1) | (~m_main_v_state1(s74, c_c1)) | node1(s74) | node2(s74) | node3(s74) | node4(s74) | node5(s74) | (~node7(s74, s75)))),
% 4.41/3.26 inference(rewrite,[status(thm)],[])).
% 4.41/3.26 tff(6388,plain,
% 4.41/3.26 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s74, c_c1)) | node1(s74) | node2(s74) | node3(s74) | node4(s74) | node5(s74) | (~node7(s74, s75)) | m_main_v_state1(s75, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s75, c_n1) | (~m_main_v_state1(s74, c_c1)) | node1(s74) | node2(s74) | node3(s74) | node4(s74) | node5(s74) | (~node7(s74, s75))))),
% 4.41/3.26 inference(monotonicity,[status(thm)],[6387])).
% 4.41/3.26 tff(6389,plain,
% 4.41/3.26 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s74, c_c1)) | node1(s74) | node2(s74) | node3(s74) | node4(s74) | node5(s74) | (~node7(s74, s75)) | m_main_v_state1(s75, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s75, c_n1) | (~m_main_v_state1(s74, c_c1)) | node1(s74) | node2(s74) | node3(s74) | node4(s74) | node5(s74) | (~node7(s74, s75)))),
% 4.41/3.26 inference(transitivity,[status(thm)],[6388, 6386])).
% 4.41/3.26 tff(6390,plain,
% 4.41/3.26 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s74, c_c1)) | node1(s74) | node2(s74) | node3(s74) | node4(s74) | node5(s74) | (~node7(s74, s75)) | m_main_v_state1(s75, c_n1))),
% 4.41/3.26 inference(quant_inst,[status(thm)],[])).
% 4.41/3.26 tff(6391,plain,
% 4.41/3.26 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s75, c_n1) | (~m_main_v_state1(s74, c_c1)) | node1(s74) | node2(s74) | node3(s74) | node4(s74) | node5(s74) | (~node7(s74, s75))),
% 4.41/3.26 inference(modus_ponens,[status(thm)],[6390, 6389])).
% 4.41/3.26 tff(6392,plain,
% 4.41/3.26 (m_main_v_state1(s75, c_n1) | (~m_main_v_state1(s74, c_c1)) | node1(s74) | node2(s74) | node3(s74) | node4(s74) | node5(s74)),
% 4.41/3.26 inference(unit_resolution,[status(thm)],[6391, 584, 6385])).
% 4.41/3.26 tff(6393,plain,
% 4.41/3.26 (m_main_v_state1(s75, c_n1)),
% 4.41/3.26 inference(unit_resolution,[status(thm)],[6392, 6381, 6311, 6377, 6373, 6369, 6365])).
% 4.41/3.26 tff(6394,plain,
% 4.41/3.26 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s75, c_n2) | (~node8(s75)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s75, c_n2) | (~node8(s75)))),
% 4.41/3.26 inference(rewrite,[status(thm)],[])).
% 4.41/3.26 tff(6395,plain,
% 4.41/3.26 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s75, c_n2) | (~node8(s75)))),
% 4.41/3.26 inference(quant_inst,[status(thm)],[])).
% 4.41/3.26 tff(6396,plain,
% 4.41/3.26 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s75, c_n2) | (~node8(s75))),
% 4.41/3.26 inference(modus_ponens,[status(thm)],[6395, 6394])).
% 4.41/3.26 tff(6397,plain,
% 4.41/3.26 (~node8(s75)),
% 4.41/3.26 inference(unit_resolution,[status(thm)],[6396, 271, 6342])).
% 4.41/3.26 tff(6398,plain,
% 4.41/3.26 (succ(s75, s76) <=> succ(s75, s76)),
% 4.41/3.26 inference(rewrite,[status(thm)],[])).
% 4.41/3.26 tff(6399,axiom,(succ(s75, s76)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound76')).
% 4.41/3.26 tff(6400,plain,
% 4.41/3.26 (succ(s75, s76)),
% 4.41/3.26 inference(modus_ponens,[status(thm)],[6399, 6398])).
% 4.41/3.26 tff(6401,plain,
% 4.41/3.26 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s75, s76)) | trans(s75, s76))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s75, s76)) | trans(s75, s76))),
% 4.41/3.26 inference(rewrite,[status(thm)],[])).
% 4.41/3.26 tff(6402,plain,
% 4.41/3.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s75, s76)) | trans(s75, s76))),
% 4.41/3.26 inference(quant_inst,[status(thm)],[])).
% 4.41/3.26 tff(6403,plain,
% 4.41/3.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s75, s76)) | trans(s75, s76)),
% 4.41/3.26 inference(modus_ponens,[status(thm)],[6402, 6401])).
% 4.41/3.26 tff(6404,plain,
% 4.41/3.26 (trans(s75, s76)),
% 4.41/3.26 inference(unit_resolution,[status(thm)],[6403, 6400, 32])).
% 4.41/3.26 tff(6405,plain,
% 4.41/3.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s75, s76)) | node14(s75, s76))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s75, s76)) | node14(s75, s76))),
% 4.41/3.26 inference(rewrite,[status(thm)],[])).
% 4.41/3.26 tff(6406,plain,
% 4.41/3.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s75, s76)) | node14(s75, s76))),
% 4.41/3.26 inference(quant_inst,[status(thm)],[])).
% 4.41/3.26 tff(6407,plain,
% 4.41/3.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s75, s76)) | node14(s75, s76)),
% 4.41/3.26 inference(modus_ponens,[status(thm)],[6406, 6405])).
% 4.41/3.26 tff(6408,plain,
% 4.41/3.26 (node14(s75, s76)),
% 4.41/3.26 inference(unit_resolution,[status(thm)],[6407, 46, 6404])).
% 4.41/3.26 tff(6409,plain,
% 4.41/3.26 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s75, c_n1)) | (~m_main_v_state2(s75, c_t2)) | node9(s75) | node8(s75) | node10(s75) | (~node14(s75, s76)) | m_main_v_state2(s76, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s75, c_n1)) | (~m_main_v_state2(s75, c_t2)) | node9(s75) | node8(s75) | node10(s75) | (~node14(s75, s76)) | m_main_v_state2(s76, c_c2))),
% 4.41/3.26 inference(rewrite,[status(thm)],[])).
% 4.41/3.26 tff(6410,plain,
% 4.41/3.26 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s75, c_n1)) | (~m_main_v_state2(s75, c_t2)) | node9(s75) | node8(s75) | node10(s75) | (~node14(s75, s76)) | m_main_v_state2(s76, c_c2))),
% 4.41/3.26 inference(quant_inst,[status(thm)],[])).
% 4.41/3.26 tff(6411,plain,
% 4.41/3.26 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s75, c_n1)) | (~m_main_v_state2(s75, c_t2)) | node9(s75) | node8(s75) | node10(s75) | (~node14(s75, s76)) | m_main_v_state2(s76, c_c2)),
% 4.41/3.26 inference(modus_ponens,[status(thm)],[6410, 6409])).
% 4.41/3.26 tff(6412,plain,
% 4.41/3.26 ((~m_main_v_state1(s75, c_n1)) | (~m_main_v_state2(s75, c_t2)) | node9(s75) | node8(s75) | node10(s75) | m_main_v_state2(s76, c_c2)),
% 4.41/3.26 inference(unit_resolution,[status(thm)],[6411, 617, 6408])).
% 4.41/3.26 tff(6413,plain,
% 4.41/3.26 (m_main_v_state2(s76, c_c2)),
% 4.41/3.26 inference(unit_resolution,[status(thm)],[6412, 6397, 6393, 6357, 6350, 6346])).
% 4.41/3.26 tff(6414,plain,
% 4.41/3.26 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s76, c_t2)) | (~m_main_v_state2(s76, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s76, c_t2)) | (~m_main_v_state2(s76, c_c2)))),
% 4.41/3.26 inference(rewrite,[status(thm)],[])).
% 4.41/3.26 tff(6415,plain,
% 4.41/3.26 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s76, c_t2)) | (~m_main_v_state2(s76, c_c2)))),
% 4.41/3.26 inference(quant_inst,[status(thm)],[])).
% 4.41/3.26 tff(6416,plain,
% 4.41/3.26 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s76, c_t2)) | (~m_main_v_state2(s76, c_c2))),
% 4.41/3.26 inference(modus_ponens,[status(thm)],[6415, 6414])).
% 4.41/3.26 tff(6417,plain,
% 4.41/3.26 (~m_main_v_state2(s76, c_t2)),
% 4.41/3.26 inference(unit_resolution,[status(thm)],[6416, 260, 6413])).
% 4.41/3.26 tff(6418,plain,
% 4.41/3.26 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s76, c_t2) | (~node12(s76)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s76, c_t2) | (~node12(s76)))),
% 4.41/3.26 inference(rewrite,[status(thm)],[])).
% 4.41/3.26 tff(6419,plain,
% 4.41/3.26 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s76, c_t2) | (~node12(s76)))),
% 4.41/3.26 inference(quant_inst,[status(thm)],[])).
% 4.41/3.26 tff(6420,plain,
% 4.41/3.26 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s76, c_t2) | (~node12(s76))),
% 4.41/3.26 inference(modus_ponens,[status(thm)],[6419, 6418])).
% 4.41/3.26 tff(6421,plain,
% 4.41/3.26 (~node12(s76)),
% 4.41/3.26 inference(unit_resolution,[status(thm)],[6420, 633, 6417])).
% 4.41/3.26 tff(6422,plain,
% 4.41/3.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s75, s76)) | node7(s75, s76))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s75, s76)) | node7(s75, s76))),
% 4.41/3.26 inference(rewrite,[status(thm)],[])).
% 4.41/3.26 tff(6423,plain,
% 4.41/3.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s75, s76)) | node7(s75, s76))),
% 4.41/3.26 inference(quant_inst,[status(thm)],[])).
% 4.41/3.26 tff(6424,plain,
% 4.41/3.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s75, s76)) | node7(s75, s76)),
% 4.41/3.26 inference(modus_ponens,[status(thm)],[6423, 6422])).
% 4.41/3.26 tff(6425,plain,
% 4.41/3.26 (node7(s75, s76)),
% 4.41/3.26 inference(unit_resolution,[status(thm)],[6424, 206, 6404])).
% 4.41/3.26 tff(6426,plain,
% 4.41/3.26 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s75, c_n1)) | (~m_main_v_state2(s75, c_t2)) | (~node7(s75, s76)) | m_main_v_state1(s76, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s75, c_n1)) | (~m_main_v_state2(s75, c_t2)) | (~node7(s75, s76)) | m_main_v_state1(s76, c_t1))),
% 4.41/3.26 inference(rewrite,[status(thm)],[])).
% 4.41/3.26 tff(6427,plain,
% 4.41/3.26 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s75, c_n1)) | (~m_main_v_state2(s75, c_t2)) | (~node7(s75, s76)) | m_main_v_state1(s76, c_t1))),
% 4.41/3.26 inference(quant_inst,[status(thm)],[])).
% 4.41/3.26 tff(6428,plain,
% 4.41/3.26 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s75, c_n1)) | (~m_main_v_state2(s75, c_t2)) | (~node7(s75, s76)) | m_main_v_state1(s76, c_t1)),
% 4.41/3.26 inference(modus_ponens,[status(thm)],[6427, 6426])).
% 4.41/3.26 tff(6429,plain,
% 4.41/3.26 ((~m_main_v_state1(s75, c_n1)) | (~m_main_v_state2(s75, c_t2)) | m_main_v_state1(s76, c_t1)),
% 4.41/3.26 inference(unit_resolution,[status(thm)],[6428, 651, 6425])).
% 4.41/3.26 tff(6430,plain,
% 4.41/3.26 (m_main_v_state1(s76, c_t1)),
% 4.41/3.26 inference(unit_resolution,[status(thm)],[6429, 6357, 6393])).
% 4.41/3.26 tff(6431,plain,
% 4.41/3.26 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s76, c_n1)) | (~m_main_v_state1(s76, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s76, c_n1)) | (~m_main_v_state1(s76, c_t1)))),
% 4.41/3.26 inference(rewrite,[status(thm)],[])).
% 4.41/3.26 tff(6432,plain,
% 4.41/3.26 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s76, c_n1)) | (~m_main_v_state1(s76, c_t1)))),
% 4.41/3.26 inference(quant_inst,[status(thm)],[])).
% 4.41/3.26 tff(6433,plain,
% 4.41/3.26 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s76, c_n1)) | (~m_main_v_state1(s76, c_t1))),
% 4.41/3.26 inference(modus_ponens,[status(thm)],[6432, 6431])).
% 4.41/3.26 tff(6434,plain,
% 4.41/3.26 (~m_main_v_state1(s76, c_n1)),
% 4.41/3.26 inference(unit_resolution,[status(thm)],[6433, 10, 6430])).
% 4.41/3.26 tff(6435,plain,
% 4.41/3.26 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s76, c_n1) | (~node11(s76)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s76, c_n1) | (~node11(s76)))),
% 4.41/3.26 inference(rewrite,[status(thm)],[])).
% 4.41/3.26 tff(6436,plain,
% 4.41/3.26 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s76, c_n1) | (~node11(s76)))),
% 4.41/3.26 inference(quant_inst,[status(thm)],[])).
% 4.41/3.26 tff(6437,plain,
% 4.41/3.26 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s76, c_n1) | (~node11(s76))),
% 4.41/3.26 inference(modus_ponens,[status(thm)],[6436, 6435])).
% 4.41/3.26 tff(6438,plain,
% 4.41/3.26 (~node11(s76)),
% 4.41/3.26 inference(unit_resolution,[status(thm)],[6437, 238, 6434])).
% 4.41/3.26 tff(6439,plain,
% 4.41/3.26 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s76, c_t1)) | (~m_main_v_state1(s76, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s76, c_t1)) | (~m_main_v_state1(s76, c_c1)))),
% 4.41/3.26 inference(rewrite,[status(thm)],[])).
% 4.41/3.26 tff(6440,plain,
% 4.41/3.26 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s76, c_t1)) | (~m_main_v_state1(s76, c_c1)))),
% 4.41/3.26 inference(quant_inst,[status(thm)],[])).
% 4.41/3.26 tff(6441,plain,
% 4.41/3.26 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s76, c_t1)) | (~m_main_v_state1(s76, c_c1))),
% 4.41/3.26 inference(modus_ponens,[status(thm)],[6440, 6439])).
% 4.41/3.26 tff(6442,plain,
% 4.41/3.26 (~m_main_v_state1(s76, c_c1)),
% 4.41/3.26 inference(unit_resolution,[status(thm)],[6441, 539, 6430])).
% 4.41/3.26 tff(6443,plain,
% 4.41/3.26 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s76, c_c1) | (~node10(s76)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s76, c_c1) | (~node10(s76)))),
% 4.41/3.26 inference(rewrite,[status(thm)],[])).
% 4.41/3.26 tff(6444,plain,
% 4.41/3.26 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s76, c_c1) | (~node10(s76)))),
% 4.41/3.26 inference(quant_inst,[status(thm)],[])).
% 4.41/3.26 tff(6445,plain,
% 4.41/3.26 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s76, c_c1) | (~node10(s76))),
% 4.41/3.26 inference(modus_ponens,[status(thm)],[6444, 6443])).
% 4.41/3.26 tff(6446,plain,
% 4.41/3.26 (~node10(s76)),
% 4.41/3.26 inference(unit_resolution,[status(thm)],[6445, 675, 6442])).
% 4.41/3.26 tff(6447,plain,
% 4.41/3.26 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s76, c_n1) | (~node9(s76)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s76, c_n1) | (~node9(s76)))),
% 4.41/3.26 inference(rewrite,[status(thm)],[])).
% 4.41/3.26 tff(6448,plain,
% 4.41/3.26 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s76, c_n1) | (~node9(s76)))),
% 4.41/3.26 inference(quant_inst,[status(thm)],[])).
% 4.41/3.26 tff(6449,plain,
% 4.41/3.26 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s76, c_n1) | (~node9(s76))),
% 4.41/3.26 inference(modus_ponens,[status(thm)],[6448, 6447])).
% 4.41/3.26 tff(6450,plain,
% 4.41/3.26 (~node9(s76)),
% 4.41/3.26 inference(unit_resolution,[status(thm)],[6449, 686, 6434])).
% 4.41/3.26 tff(6451,plain,
% 4.41/3.26 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s76, c_n2)) | (~m_main_v_state2(s76, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s76, c_n2)) | (~m_main_v_state2(s76, c_c2)))),
% 4.41/3.26 inference(rewrite,[status(thm)],[])).
% 4.41/3.26 tff(6452,plain,
% 4.41/3.26 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s76, c_n2)) | (~m_main_v_state2(s76, c_c2)))),
% 4.41/3.26 inference(quant_inst,[status(thm)],[])).
% 4.41/3.26 tff(6453,plain,
% 4.41/3.26 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s76, c_n2)) | (~m_main_v_state2(s76, c_c2))),
% 4.41/3.26 inference(modus_ponens,[status(thm)],[6452, 6451])).
% 4.41/3.26 tff(6454,plain,
% 4.41/3.26 (~m_main_v_state2(s76, c_n2)),
% 4.41/3.26 inference(unit_resolution,[status(thm)],[6453, 697, 6413])).
% 4.41/3.26 tff(6455,plain,
% 4.41/3.26 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s76, c_n2) | (~node8(s76)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s76, c_n2) | (~node8(s76)))),
% 4.41/3.26 inference(rewrite,[status(thm)],[])).
% 4.41/3.26 tff(6456,plain,
% 4.41/3.26 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s76, c_n2) | (~node8(s76)))),
% 4.41/3.26 inference(quant_inst,[status(thm)],[])).
% 4.41/3.27 tff(6457,plain,
% 4.41/3.27 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s76, c_n2) | (~node8(s76))),
% 4.41/3.27 inference(modus_ponens,[status(thm)],[6456, 6455])).
% 4.41/3.27 tff(6458,plain,
% 4.41/3.27 (~node8(s76)),
% 4.41/3.27 inference(unit_resolution,[status(thm)],[6457, 271, 6454])).
% 4.41/3.27 tff(6459,plain,
% 4.41/3.27 (succ(s76, s77) <=> succ(s76, s77)),
% 4.41/3.27 inference(rewrite,[status(thm)],[])).
% 4.41/3.27 tff(6460,axiom,(succ(s76, s77)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound77')).
% 4.41/3.27 tff(6461,plain,
% 4.41/3.27 (succ(s76, s77)),
% 4.41/3.27 inference(modus_ponens,[status(thm)],[6460, 6459])).
% 4.41/3.27 tff(6462,plain,
% 4.41/3.27 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s76, s77)) | trans(s76, s77))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s76, s77)) | trans(s76, s77))),
% 4.41/3.27 inference(rewrite,[status(thm)],[])).
% 4.41/3.27 tff(6463,plain,
% 4.41/3.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s76, s77)) | trans(s76, s77))),
% 4.41/3.27 inference(quant_inst,[status(thm)],[])).
% 4.41/3.27 tff(6464,plain,
% 4.41/3.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s76, s77)) | trans(s76, s77)),
% 4.41/3.27 inference(modus_ponens,[status(thm)],[6463, 6462])).
% 4.41/3.27 tff(6465,plain,
% 4.41/3.27 (trans(s76, s77)),
% 4.41/3.27 inference(unit_resolution,[status(thm)],[6464, 6461, 32])).
% 4.41/3.27 tff(6466,plain,
% 4.41/3.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s76, s77)) | node14(s76, s77))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s76, s77)) | node14(s76, s77))),
% 4.41/3.27 inference(rewrite,[status(thm)],[])).
% 4.41/3.27 tff(6467,plain,
% 4.41/3.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s76, s77)) | node14(s76, s77))),
% 4.41/3.27 inference(quant_inst,[status(thm)],[])).
% 4.41/3.27 tff(6468,plain,
% 4.41/3.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s76, s77)) | node14(s76, s77)),
% 4.41/3.27 inference(modus_ponens,[status(thm)],[6467, 6466])).
% 4.41/3.27 tff(6469,plain,
% 4.41/3.27 (node14(s76, s77)),
% 4.41/3.27 inference(unit_resolution,[status(thm)],[6468, 46, 6465])).
% 4.41/3.27 tff(6470,plain,
% 4.41/3.27 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s77, c_n2) | node9(s76) | node8(s76) | node10(s76) | node11(s76) | node12(s76) | (~node14(s76, s77)) | (~m_main_v_state2(s76, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s77, c_n2) | node9(s76) | node8(s76) | node10(s76) | node11(s76) | node12(s76) | (~node14(s76, s77)) | (~m_main_v_state2(s76, c_c2)))),
% 4.41/3.27 inference(rewrite,[status(thm)],[])).
% 4.41/3.27 tff(6471,plain,
% 4.41/3.27 (((~m_main_v_state2(s76, c_c2)) | node9(s76) | node8(s76) | node10(s76) | node11(s76) | node12(s76) | (~node14(s76, s77)) | m_main_v_state2(s77, c_n2)) <=> (m_main_v_state2(s77, c_n2) | node9(s76) | node8(s76) | node10(s76) | node11(s76) | node12(s76) | (~node14(s76, s77)) | (~m_main_v_state2(s76, c_c2)))),
% 4.41/3.27 inference(rewrite,[status(thm)],[])).
% 4.41/3.27 tff(6472,plain,
% 4.41/3.27 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s76, c_c2)) | node9(s76) | node8(s76) | node10(s76) | node11(s76) | node12(s76) | (~node14(s76, s77)) | m_main_v_state2(s77, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s77, c_n2) | node9(s76) | node8(s76) | node10(s76) | node11(s76) | node12(s76) | (~node14(s76, s77)) | (~m_main_v_state2(s76, c_c2))))),
% 4.41/3.27 inference(monotonicity,[status(thm)],[6471])).
% 4.41/3.27 tff(6473,plain,
% 4.41/3.27 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s76, c_c2)) | node9(s76) | node8(s76) | node10(s76) | node11(s76) | node12(s76) | (~node14(s76, s77)) | m_main_v_state2(s77, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s77, c_n2) | node9(s76) | node8(s76) | node10(s76) | node11(s76) | node12(s76) | (~node14(s76, s77)) | (~m_main_v_state2(s76, c_c2)))),
% 4.41/3.27 inference(transitivity,[status(thm)],[6472, 6470])).
% 4.41/3.27 tff(6474,plain,
% 4.41/3.27 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s76, c_c2)) | node9(s76) | node8(s76) | node10(s76) | node11(s76) | node12(s76) | (~node14(s76, s77)) | m_main_v_state2(s77, c_n2))),
% 4.41/3.27 inference(quant_inst,[status(thm)],[])).
% 4.41/3.27 tff(6475,plain,
% 4.41/3.27 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s77, c_n2) | node9(s76) | node8(s76) | node10(s76) | node11(s76) | node12(s76) | (~node14(s76, s77)) | (~m_main_v_state2(s76, c_c2))),
% 4.41/3.27 inference(modus_ponens,[status(thm)],[6474, 6473])).
% 4.41/3.27 tff(6476,plain,
% 4.41/3.27 (m_main_v_state2(s77, c_n2) | node9(s76) | node8(s76) | node10(s76) | node11(s76) | node12(s76) | (~m_main_v_state2(s76, c_c2))),
% 4.41/3.27 inference(unit_resolution,[status(thm)],[6475, 726, 6469])).
% 4.41/3.27 tff(6477,plain,
% 4.41/3.27 (m_main_v_state2(s77, c_n2)),
% 4.41/3.27 inference(unit_resolution,[status(thm)],[6476, 6458, 6413, 6450, 6446, 6438, 6421])).
% 4.41/3.27 tff(6478,plain,
% 4.41/3.27 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s77, c_n2)) | (~m_main_v_state2(s77, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s77, c_n2)) | (~m_main_v_state2(s77, c_c2)))),
% 4.41/3.27 inference(rewrite,[status(thm)],[])).
% 4.41/3.27 tff(6479,plain,
% 4.41/3.27 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s77, c_n2)) | (~m_main_v_state2(s77, c_c2)))),
% 4.41/3.27 inference(quant_inst,[status(thm)],[])).
% 4.41/3.27 tff(6480,plain,
% 4.41/3.27 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s77, c_n2)) | (~m_main_v_state2(s77, c_c2))),
% 4.41/3.27 inference(modus_ponens,[status(thm)],[6479, 6478])).
% 4.41/3.27 tff(6481,plain,
% 4.41/3.27 (~m_main_v_state2(s77, c_c2)),
% 4.41/3.27 inference(unit_resolution,[status(thm)],[6480, 697, 6477])).
% 4.41/3.27 tff(6482,plain,
% 4.41/3.27 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s77, c_c2) | (~node3(s77)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s77, c_c2) | (~node3(s77)))),
% 4.41/3.27 inference(rewrite,[status(thm)],[])).
% 4.41/3.27 tff(6483,plain,
% 4.41/3.27 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s77, c_c2) | (~node3(s77)))),
% 4.41/3.27 inference(quant_inst,[status(thm)],[])).
% 4.41/3.27 tff(6484,plain,
% 4.41/3.27 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s77, c_c2) | (~node3(s77))),
% 4.41/3.27 inference(modus_ponens,[status(thm)],[6483, 6482])).
% 4.41/3.27 tff(6485,plain,
% 4.41/3.27 (~node3(s77)),
% 4.41/3.27 inference(unit_resolution,[status(thm)],[6484, 399, 6481])).
% 4.41/3.27 tff(6486,plain,
% 4.41/3.27 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s76, c_n1) | (~node1(s76)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s76, c_n1) | (~node1(s76)))),
% 4.41/3.27 inference(rewrite,[status(thm)],[])).
% 4.41/3.27 tff(6487,plain,
% 4.41/3.27 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s76, c_n1) | (~node1(s76)))),
% 4.41/3.27 inference(quant_inst,[status(thm)],[])).
% 4.41/3.27 tff(6488,plain,
% 4.41/3.27 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s76, c_n1) | (~node1(s76))),
% 4.41/3.27 inference(modus_ponens,[status(thm)],[6487, 6486])).
% 4.41/3.27 tff(6489,plain,
% 4.41/3.27 (~node1(s76)),
% 4.41/3.27 inference(unit_resolution,[status(thm)],[6488, 421, 6434])).
% 4.41/3.27 tff(6490,plain,
% 4.41/3.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s75, s76)) | node18(s75, s76))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s75, s76)) | node18(s75, s76))),
% 4.41/3.27 inference(rewrite,[status(thm)],[])).
% 4.41/3.27 tff(6491,plain,
% 4.41/3.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s75, s76)) | node18(s75, s76))),
% 4.41/3.27 inference(quant_inst,[status(thm)],[])).
% 4.41/3.27 tff(6492,plain,
% 4.41/3.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s75, s76)) | node18(s75, s76)),
% 4.41/3.27 inference(modus_ponens,[status(thm)],[6491, 6490])).
% 4.41/3.27 tff(6493,plain,
% 4.41/3.27 (node18(s75, s76)),
% 4.41/3.27 inference(unit_resolution,[status(thm)],[6492, 125, 6404])).
% 4.41/3.27 tff(6494,plain,
% 4.41/3.27 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s75, c_n1)) | (~m_main_v_state2(s75, c_t2)) | (~node18(s75, s76)) | m_main_v_turn(s76, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s75, c_n1)) | (~m_main_v_state2(s75, c_t2)) | (~node18(s75, s76)) | m_main_v_turn(s76, c_2))),
% 4.41/3.27 inference(rewrite,[status(thm)],[])).
% 4.41/3.27 tff(6495,plain,
% 4.41/3.27 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s75, c_n1)) | (~m_main_v_state2(s75, c_t2)) | (~node18(s75, s76)) | m_main_v_turn(s76, c_2))),
% 4.41/3.27 inference(quant_inst,[status(thm)],[])).
% 4.41/3.27 tff(6496,plain,
% 4.41/3.27 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s75, c_n1)) | (~m_main_v_state2(s75, c_t2)) | (~node18(s75, s76)) | m_main_v_turn(s76, c_2)),
% 4.41/3.27 inference(modus_ponens,[status(thm)],[6495, 6494])).
% 4.41/3.27 tff(6497,plain,
% 4.41/3.27 ((~m_main_v_state1(s75, c_n1)) | (~m_main_v_state2(s75, c_t2)) | m_main_v_turn(s76, c_2)),
% 4.41/3.27 inference(unit_resolution,[status(thm)],[6496, 760, 6493])).
% 4.41/3.27 tff(6498,plain,
% 4.41/3.27 (m_main_v_turn(s76, c_2)),
% 4.41/3.27 inference(unit_resolution,[status(thm)],[6497, 6357, 6393])).
% 4.41/3.27 tff(6499,plain,
% 4.41/3.27 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s76, c_1)) | (~m_main_v_turn(s76, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s76, c_1)) | (~m_main_v_turn(s76, c_2)))),
% 4.41/3.27 inference(rewrite,[status(thm)],[])).
% 4.41/3.27 tff(6500,plain,
% 4.41/3.27 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s76, c_1)) | (~m_main_v_turn(s76, c_2)))),
% 4.41/3.27 inference(quant_inst,[status(thm)],[])).
% 4.41/3.27 tff(6501,plain,
% 4.41/3.27 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s76, c_1)) | (~m_main_v_turn(s76, c_2))),
% 4.41/3.27 inference(modus_ponens,[status(thm)],[6500, 6499])).
% 4.41/3.27 tff(6502,plain,
% 4.41/3.27 (~m_main_v_turn(s76, c_1)),
% 4.41/3.27 inference(unit_resolution,[status(thm)],[6501, 156, 6498])).
% 4.41/3.27 tff(6503,plain,
% 4.41/3.27 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s76, c_1) | (~node5(s76)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s76, c_1) | (~node5(s76)))),
% 4.41/3.27 inference(rewrite,[status(thm)],[])).
% 4.41/3.27 tff(6504,plain,
% 4.41/3.27 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s76, c_1) | (~node5(s76)))),
% 4.41/3.27 inference(quant_inst,[status(thm)],[])).
% 4.41/3.27 tff(6505,plain,
% 4.41/3.27 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s76, c_1) | (~node5(s76))),
% 4.41/3.27 inference(modus_ponens,[status(thm)],[6504, 6503])).
% 4.41/3.27 tff(6506,plain,
% 4.41/3.27 (~node5(s76)),
% 4.41/3.27 inference(unit_resolution,[status(thm)],[6505, 776, 6502])).
% 4.41/3.27 tff(6507,plain,
% 4.41/3.27 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s76, c_n1) | (~node2(s76)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s76, c_n1) | (~node2(s76)))),
% 4.41/3.27 inference(rewrite,[status(thm)],[])).
% 4.41/3.27 tff(6508,plain,
% 4.41/3.27 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s76, c_n1) | (~node2(s76)))),
% 4.41/3.27 inference(quant_inst,[status(thm)],[])).
% 4.41/3.27 tff(6509,plain,
% 4.41/3.27 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s76, c_n1) | (~node2(s76))),
% 4.41/3.27 inference(modus_ponens,[status(thm)],[6508, 6507])).
% 4.41/3.27 tff(6510,plain,
% 4.41/3.27 (~node2(s76)),
% 4.41/3.27 inference(unit_resolution,[status(thm)],[6509, 787, 6434])).
% 4.41/3.27 tff(6511,plain,
% 4.41/3.27 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s76, c_n1) | (~node3(s76)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s76, c_n1) | (~node3(s76)))),
% 4.41/3.27 inference(rewrite,[status(thm)],[])).
% 4.41/3.27 tff(6512,plain,
% 4.41/3.27 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s76, c_n1) | (~node3(s76)))),
% 4.41/3.27 inference(quant_inst,[status(thm)],[])).
% 4.41/3.27 tff(6513,plain,
% 4.41/3.27 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s76, c_n1) | (~node3(s76))),
% 4.41/3.27 inference(modus_ponens,[status(thm)],[6512, 6511])).
% 4.41/3.27 tff(6514,plain,
% 4.41/3.27 (~node3(s76)),
% 4.41/3.27 inference(unit_resolution,[status(thm)],[6513, 798, 6434])).
% 4.41/3.27 tff(6515,plain,
% 4.41/3.27 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s76, c_n2) | (~node4(s76)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s76, c_n2) | (~node4(s76)))),
% 4.41/3.27 inference(rewrite,[status(thm)],[])).
% 4.41/3.27 tff(6516,plain,
% 4.41/3.27 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s76, c_n2) | (~node4(s76)))),
% 4.41/3.27 inference(quant_inst,[status(thm)],[])).
% 4.41/3.27 tff(6517,plain,
% 4.41/3.27 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s76, c_n2) | (~node4(s76))),
% 4.41/3.27 inference(modus_ponens,[status(thm)],[6516, 6515])).
% 4.41/3.27 tff(6518,plain,
% 4.41/3.27 (~node4(s76)),
% 4.41/3.27 inference(unit_resolution,[status(thm)],[6517, 388, 6454])).
% 4.41/3.27 tff(6519,plain,
% 4.41/3.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s76, s77)) | node7(s76, s77))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s76, s77)) | node7(s76, s77))),
% 4.41/3.27 inference(rewrite,[status(thm)],[])).
% 4.41/3.27 tff(6520,plain,
% 4.41/3.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s76, s77)) | node7(s76, s77))),
% 4.41/3.27 inference(quant_inst,[status(thm)],[])).
% 4.41/3.27 tff(6521,plain,
% 4.41/3.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s76, s77)) | node7(s76, s77)),
% 4.41/3.27 inference(modus_ponens,[status(thm)],[6520, 6519])).
% 4.41/3.27 tff(6522,plain,
% 4.41/3.27 (node7(s76, s77)),
% 4.41/3.27 inference(unit_resolution,[status(thm)],[6521, 206, 6465])).
% 4.41/3.27 tff(6523,plain,
% 4.41/3.27 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s76, c_c1) | node1(s76) | node2(s76) | node3(s76) | node4(s76) | node5(s76) | node6(s76, s77) | (~node7(s76, s77)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s76, c_c1) | node1(s76) | node2(s76) | node3(s76) | node4(s76) | node5(s76) | node6(s76, s77) | (~node7(s76, s77)))),
% 4.41/3.27 inference(rewrite,[status(thm)],[])).
% 4.41/3.27 tff(6524,plain,
% 4.41/3.27 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s76, c_c1) | node1(s76) | node2(s76) | node3(s76) | node4(s76) | node5(s76) | node6(s76, s77) | (~node7(s76, s77)))),
% 4.41/3.27 inference(quant_inst,[status(thm)],[])).
% 4.41/3.27 tff(6525,plain,
% 4.41/3.27 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s76, c_c1) | node1(s76) | node2(s76) | node3(s76) | node4(s76) | node5(s76) | node6(s76, s77) | (~node7(s76, s77))),
% 4.41/3.27 inference(modus_ponens,[status(thm)],[6524, 6523])).
% 4.41/3.27 tff(6526,plain,
% 4.41/3.27 (m_main_v_state1(s76, c_c1) | node1(s76) | node2(s76) | node3(s76) | node4(s76) | node5(s76) | node6(s76, s77)),
% 4.41/3.27 inference(unit_resolution,[status(thm)],[6525, 820, 6522])).
% 4.41/3.27 tff(6527,plain,
% 4.41/3.27 (node6(s76, s77)),
% 4.41/3.27 inference(unit_resolution,[status(thm)],[6526, 6518, 6442, 6514, 6510, 6506, 6489])).
% 4.41/3.27 tff(6528,plain,
% 4.41/3.27 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s76, c_n1) | (~m_main_v_state1(s77, c_n1)) | (~node6(s76, s77)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s76, c_n1) | (~m_main_v_state1(s77, c_n1)) | (~node6(s76, s77)))),
% 4.41/3.27 inference(rewrite,[status(thm)],[])).
% 4.41/3.27 tff(6529,plain,
% 4.41/3.27 (((~node6(s76, s77)) | m_main_v_state1(s76, c_n1) | (~m_main_v_state1(s77, c_n1))) <=> (m_main_v_state1(s76, c_n1) | (~m_main_v_state1(s77, c_n1)) | (~node6(s76, s77)))),
% 4.41/3.27 inference(rewrite,[status(thm)],[])).
% 4.41/3.27 tff(6530,plain,
% 4.41/3.27 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s76, s77)) | m_main_v_state1(s76, c_n1) | (~m_main_v_state1(s77, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s76, c_n1) | (~m_main_v_state1(s77, c_n1)) | (~node6(s76, s77))))),
% 4.41/3.27 inference(monotonicity,[status(thm)],[6529])).
% 4.41/3.27 tff(6531,plain,
% 4.41/3.27 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s76, s77)) | m_main_v_state1(s76, c_n1) | (~m_main_v_state1(s77, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s76, c_n1) | (~m_main_v_state1(s77, c_n1)) | (~node6(s76, s77)))),
% 4.41/3.27 inference(transitivity,[status(thm)],[6530, 6528])).
% 4.41/3.27 tff(6532,plain,
% 4.41/3.27 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s76, s77)) | m_main_v_state1(s76, c_n1) | (~m_main_v_state1(s77, c_n1)))),
% 4.41/3.27 inference(quant_inst,[status(thm)],[])).
% 4.41/3.27 tff(6533,plain,
% 4.41/3.27 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s76, c_n1) | (~m_main_v_state1(s77, c_n1)) | (~node6(s76, s77))),
% 4.41/3.27 inference(modus_ponens,[status(thm)],[6532, 6531])).
% 4.41/3.27 tff(6534,plain,
% 4.41/3.27 (~m_main_v_state1(s77, c_n1)),
% 4.41/3.27 inference(unit_resolution,[status(thm)],[6533, 835, 6434, 6527])).
% 4.41/3.27 tff(6535,plain,
% 4.41/3.27 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s77, c_n1) | (~node2(s77)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s77, c_n1) | (~node2(s77)))),
% 4.41/3.27 inference(rewrite,[status(thm)],[])).
% 4.41/3.27 tff(6536,plain,
% 4.41/3.27 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s77, c_n1) | (~node2(s77)))),
% 4.41/3.27 inference(quant_inst,[status(thm)],[])).
% 4.41/3.27 tff(6537,plain,
% 4.41/3.27 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s77, c_n1) | (~node2(s77))),
% 4.41/3.27 inference(modus_ponens,[status(thm)],[6536, 6535])).
% 4.41/3.27 tff(6538,plain,
% 4.41/3.27 (~node2(s77)),
% 4.41/3.27 inference(unit_resolution,[status(thm)],[6537, 787, 6534])).
% 4.41/3.27 tff(6539,plain,
% 4.41/3.27 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s76, c_t1)) | m_main_v_state1(s77, c_t1) | (~node6(s76, s77)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s76, c_t1)) | m_main_v_state1(s77, c_t1) | (~node6(s76, s77)))),
% 4.41/3.27 inference(rewrite,[status(thm)],[])).
% 4.41/3.27 tff(6540,plain,
% 4.41/3.27 (((~node6(s76, s77)) | (~m_main_v_state1(s76, c_t1)) | m_main_v_state1(s77, c_t1)) <=> ((~m_main_v_state1(s76, c_t1)) | m_main_v_state1(s77, c_t1) | (~node6(s76, s77)))),
% 4.41/3.27 inference(rewrite,[status(thm)],[])).
% 4.41/3.27 tff(6541,plain,
% 4.41/3.27 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s76, s77)) | (~m_main_v_state1(s76, c_t1)) | m_main_v_state1(s77, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s76, c_t1)) | m_main_v_state1(s77, c_t1) | (~node6(s76, s77))))),
% 4.41/3.27 inference(monotonicity,[status(thm)],[6540])).
% 4.41/3.27 tff(6542,plain,
% 4.41/3.27 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s76, s77)) | (~m_main_v_state1(s76, c_t1)) | m_main_v_state1(s77, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s76, c_t1)) | m_main_v_state1(s77, c_t1) | (~node6(s76, s77)))),
% 4.41/3.27 inference(transitivity,[status(thm)],[6541, 6539])).
% 4.41/3.27 tff(6543,plain,
% 4.41/3.27 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s76, s77)) | (~m_main_v_state1(s76, c_t1)) | m_main_v_state1(s77, c_t1))),
% 4.41/3.27 inference(quant_inst,[status(thm)],[])).
% 4.41/3.27 tff(6544,plain,
% 4.41/3.27 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s76, c_t1)) | m_main_v_state1(s77, c_t1) | (~node6(s76, s77))),
% 4.41/3.27 inference(modus_ponens,[status(thm)],[6543, 6542])).
% 4.41/3.27 tff(6545,plain,
% 4.41/3.27 (m_main_v_state1(s77, c_t1)),
% 4.41/3.27 inference(unit_resolution,[status(thm)],[6544, 856, 6430, 6527])).
% 4.41/3.27 tff(6546,plain,
% 4.41/3.27 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s77, c_n2)) | (~m_main_v_state2(s77, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s77, c_n2)) | (~m_main_v_state2(s77, c_t2)))),
% 4.41/3.27 inference(rewrite,[status(thm)],[])).
% 4.41/3.27 tff(6547,plain,
% 4.41/3.27 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s77, c_n2)) | (~m_main_v_state2(s77, c_t2)))),
% 4.41/3.27 inference(quant_inst,[status(thm)],[])).
% 4.41/3.27 tff(6548,plain,
% 4.41/3.27 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s77, c_n2)) | (~m_main_v_state2(s77, c_t2))),
% 4.41/3.27 inference(modus_ponens,[status(thm)],[6547, 6546])).
% 4.41/3.27 tff(6549,plain,
% 4.41/3.27 (~m_main_v_state2(s77, c_t2)),
% 4.41/3.27 inference(unit_resolution,[status(thm)],[6548, 77, 6477])).
% 4.41/3.27 tff(6550,plain,
% 4.41/3.27 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s77, c_t2) | (~node1(s77)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s77, c_t2) | (~node1(s77)))),
% 4.41/3.27 inference(rewrite,[status(thm)],[])).
% 4.41/3.27 tff(6551,plain,
% 4.41/3.27 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s77, c_t2) | (~node1(s77)))),
% 4.41/3.27 inference(quant_inst,[status(thm)],[])).
% 4.41/3.27 tff(6552,plain,
% 4.41/3.27 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s77, c_t2) | (~node1(s77))),
% 4.41/3.27 inference(modus_ponens,[status(thm)],[6551, 6550])).
% 4.41/3.27 tff(6553,plain,
% 4.41/3.27 (~node1(s77)),
% 4.41/3.27 inference(unit_resolution,[status(thm)],[6552, 195, 6549])).
% 4.41/3.27 tff(6554,plain,
% 4.41/3.27 (succ(s77, s78) <=> succ(s77, s78)),
% 4.41/3.27 inference(rewrite,[status(thm)],[])).
% 4.41/3.27 tff(6555,axiom,(succ(s77, s78)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound78')).
% 4.41/3.27 tff(6556,plain,
% 4.41/3.27 (succ(s77, s78)),
% 4.41/3.27 inference(modus_ponens,[status(thm)],[6555, 6554])).
% 4.41/3.27 tff(6557,plain,
% 4.41/3.27 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s77, s78)) | trans(s77, s78))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s77, s78)) | trans(s77, s78))),
% 4.41/3.27 inference(rewrite,[status(thm)],[])).
% 4.41/3.27 tff(6558,plain,
% 4.41/3.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s77, s78)) | trans(s77, s78))),
% 4.41/3.27 inference(quant_inst,[status(thm)],[])).
% 4.41/3.27 tff(6559,plain,
% 4.41/3.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s77, s78)) | trans(s77, s78)),
% 4.41/3.27 inference(modus_ponens,[status(thm)],[6558, 6557])).
% 4.41/3.27 tff(6560,plain,
% 4.41/3.27 (trans(s77, s78)),
% 4.41/3.27 inference(unit_resolution,[status(thm)],[6559, 6556, 32])).
% 4.41/3.27 tff(6561,plain,
% 4.41/3.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s77, s78)) | node7(s77, s78))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s77, s78)) | node7(s77, s78))),
% 4.41/3.27 inference(rewrite,[status(thm)],[])).
% 4.41/3.27 tff(6562,plain,
% 4.41/3.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s77, s78)) | node7(s77, s78))),
% 4.41/3.27 inference(quant_inst,[status(thm)],[])).
% 4.41/3.27 tff(6563,plain,
% 4.41/3.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s77, s78)) | node7(s77, s78)),
% 4.41/3.27 inference(modus_ponens,[status(thm)],[6562, 6561])).
% 4.41/3.27 tff(6564,plain,
% 4.41/3.27 (node7(s77, s78)),
% 4.41/3.27 inference(unit_resolution,[status(thm)],[6563, 206, 6560])).
% 4.41/3.27 tff(6565,plain,
% 4.41/3.27 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s77, c_t1)) | (~m_main_v_state2(s77, c_n2)) | m_main_v_state1(s78, c_c1) | node1(s77) | node2(s77) | node3(s77) | (~node7(s77, s78)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s77, c_t1)) | (~m_main_v_state2(s77, c_n2)) | m_main_v_state1(s78, c_c1) | node1(s77) | node2(s77) | node3(s77) | (~node7(s77, s78)))),
% 4.41/3.27 inference(rewrite,[status(thm)],[])).
% 4.41/3.27 tff(6566,plain,
% 4.41/3.27 (((~m_main_v_state1(s77, c_t1)) | (~m_main_v_state2(s77, c_n2)) | node1(s77) | node2(s77) | node3(s77) | (~node7(s77, s78)) | m_main_v_state1(s78, c_c1)) <=> ((~m_main_v_state1(s77, c_t1)) | (~m_main_v_state2(s77, c_n2)) | m_main_v_state1(s78, c_c1) | node1(s77) | node2(s77) | node3(s77) | (~node7(s77, s78)))),
% 4.41/3.27 inference(rewrite,[status(thm)],[])).
% 4.41/3.27 tff(6567,plain,
% 4.41/3.27 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s77, c_t1)) | (~m_main_v_state2(s77, c_n2)) | node1(s77) | node2(s77) | node3(s77) | (~node7(s77, s78)) | m_main_v_state1(s78, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s77, c_t1)) | (~m_main_v_state2(s77, c_n2)) | m_main_v_state1(s78, c_c1) | node1(s77) | node2(s77) | node3(s77) | (~node7(s77, s78))))),
% 4.41/3.27 inference(monotonicity,[status(thm)],[6566])).
% 4.41/3.27 tff(6568,plain,
% 4.41/3.27 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s77, c_t1)) | (~m_main_v_state2(s77, c_n2)) | node1(s77) | node2(s77) | node3(s77) | (~node7(s77, s78)) | m_main_v_state1(s78, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s77, c_t1)) | (~m_main_v_state2(s77, c_n2)) | m_main_v_state1(s78, c_c1) | node1(s77) | node2(s77) | node3(s77) | (~node7(s77, s78)))),
% 4.41/3.27 inference(transitivity,[status(thm)],[6567, 6565])).
% 4.41/3.27 tff(6569,plain,
% 4.41/3.27 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s77, c_t1)) | (~m_main_v_state2(s77, c_n2)) | node1(s77) | node2(s77) | node3(s77) | (~node7(s77, s78)) | m_main_v_state1(s78, c_c1))),
% 4.41/3.27 inference(quant_inst,[status(thm)],[])).
% 4.41/3.27 tff(6570,plain,
% 4.41/3.27 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s77, c_t1)) | (~m_main_v_state2(s77, c_n2)) | m_main_v_state1(s78, c_c1) | node1(s77) | node2(s77) | node3(s77) | (~node7(s77, s78))),
% 4.41/3.27 inference(modus_ponens,[status(thm)],[6569, 6568])).
% 4.41/3.27 tff(6571,plain,
% 4.41/3.27 ((~m_main_v_state1(s77, c_t1)) | (~m_main_v_state2(s77, c_n2)) | m_main_v_state1(s78, c_c1) | node1(s77) | node2(s77) | node3(s77)),
% 4.41/3.27 inference(unit_resolution,[status(thm)],[6570, 892, 6564])).
% 4.41/3.27 tff(6572,plain,
% 4.41/3.27 (m_main_v_state1(s78, c_c1)),
% 4.41/3.27 inference(unit_resolution,[status(thm)],[6571, 6553, 6477, 6545, 6538, 6485])).
% 4.41/3.27 tff(6573,plain,
% 4.41/3.27 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s78, c_t1)) | (~m_main_v_state1(s78, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s78, c_t1)) | (~m_main_v_state1(s78, c_c1)))),
% 4.41/3.27 inference(rewrite,[status(thm)],[])).
% 4.41/3.27 tff(6574,plain,
% 4.41/3.27 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s78, c_t1)) | (~m_main_v_state1(s78, c_c1)))),
% 4.41/3.27 inference(quant_inst,[status(thm)],[])).
% 4.41/3.27 tff(6575,plain,
% 4.41/3.27 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s78, c_t1)) | (~m_main_v_state1(s78, c_c1))),
% 4.41/3.28 inference(modus_ponens,[status(thm)],[6574, 6573])).
% 4.41/3.28 tff(6576,plain,
% 4.41/3.28 (~m_main_v_state1(s78, c_t1)),
% 4.41/3.28 inference(unit_resolution,[status(thm)],[6575, 539, 6572])).
% 4.41/3.28 tff(6577,plain,
% 4.41/3.28 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s78, c_t1) | (~node5(s78)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s78, c_t1) | (~node5(s78)))),
% 4.41/3.28 inference(rewrite,[status(thm)],[])).
% 4.41/3.28 tff(6578,plain,
% 4.41/3.28 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s78, c_t1) | (~node5(s78)))),
% 4.41/3.28 inference(quant_inst,[status(thm)],[])).
% 4.41/3.28 tff(6579,plain,
% 4.41/3.28 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s78, c_t1) | (~node5(s78))),
% 4.41/3.28 inference(modus_ponens,[status(thm)],[6578, 6577])).
% 4.41/3.28 tff(6580,plain,
% 4.41/3.28 (~node5(s78)),
% 4.41/3.28 inference(unit_resolution,[status(thm)],[6579, 550, 6576])).
% 4.41/3.28 tff(6581,plain,
% 4.41/3.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s77, s78)) | node14(s77, s78))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s77, s78)) | node14(s77, s78))),
% 4.41/3.28 inference(rewrite,[status(thm)],[])).
% 4.41/3.28 tff(6582,plain,
% 4.41/3.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s77, s78)) | node14(s77, s78))),
% 4.41/3.28 inference(quant_inst,[status(thm)],[])).
% 4.41/3.28 tff(6583,plain,
% 4.41/3.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s77, s78)) | node14(s77, s78)),
% 4.41/3.28 inference(modus_ponens,[status(thm)],[6582, 6581])).
% 4.41/3.28 tff(6584,plain,
% 4.41/3.28 (node14(s77, s78)),
% 4.41/3.28 inference(unit_resolution,[status(thm)],[6583, 46, 6560])).
% 4.41/3.28 tff(6585,plain,
% 4.41/3.28 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s77, c_t1)) | (~m_main_v_state2(s77, c_n2)) | (~node14(s77, s78)) | m_main_v_state2(s78, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s77, c_t1)) | (~m_main_v_state2(s77, c_n2)) | (~node14(s77, s78)) | m_main_v_state2(s78, c_t2))),
% 4.41/3.28 inference(rewrite,[status(thm)],[])).
% 4.41/3.28 tff(6586,plain,
% 4.41/3.28 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s77, c_t1)) | (~m_main_v_state2(s77, c_n2)) | (~node14(s77, s78)) | m_main_v_state2(s78, c_t2))),
% 4.41/3.28 inference(quant_inst,[status(thm)],[])).
% 4.41/3.28 tff(6587,plain,
% 4.41/3.28 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s77, c_t1)) | (~m_main_v_state2(s77, c_n2)) | (~node14(s77, s78)) | m_main_v_state2(s78, c_t2)),
% 4.41/3.28 inference(modus_ponens,[status(thm)],[6586, 6585])).
% 4.41/3.28 tff(6588,plain,
% 4.41/3.28 ((~m_main_v_state1(s77, c_t1)) | (~m_main_v_state2(s77, c_n2)) | m_main_v_state2(s78, c_t2)),
% 4.41/3.28 inference(unit_resolution,[status(thm)],[6587, 922, 6584])).
% 4.41/3.28 tff(6589,plain,
% 4.41/3.28 (m_main_v_state2(s78, c_t2)),
% 4.41/3.28 inference(unit_resolution,[status(thm)],[6588, 6545, 6477])).
% 4.41/3.28 tff(6590,plain,
% 4.41/3.28 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s78, c_n2)) | (~m_main_v_state2(s78, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s78, c_n2)) | (~m_main_v_state2(s78, c_t2)))),
% 4.41/3.28 inference(rewrite,[status(thm)],[])).
% 4.41/3.28 tff(6591,plain,
% 4.41/3.28 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s78, c_n2)) | (~m_main_v_state2(s78, c_t2)))),
% 4.41/3.28 inference(quant_inst,[status(thm)],[])).
% 4.41/3.28 tff(6592,plain,
% 4.41/3.28 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s78, c_n2)) | (~m_main_v_state2(s78, c_t2))),
% 4.41/3.28 inference(modus_ponens,[status(thm)],[6591, 6590])).
% 4.41/3.28 tff(6593,plain,
% 4.41/3.28 (~m_main_v_state2(s78, c_n2)),
% 4.41/3.28 inference(unit_resolution,[status(thm)],[6592, 77, 6589])).
% 4.41/3.28 tff(6594,plain,
% 4.41/3.28 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s78, c_n2) | (~node4(s78)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s78, c_n2) | (~node4(s78)))),
% 4.41/3.28 inference(rewrite,[status(thm)],[])).
% 4.41/3.28 tff(6595,plain,
% 4.41/3.28 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s78, c_n2) | (~node4(s78)))),
% 4.41/3.28 inference(quant_inst,[status(thm)],[])).
% 4.41/3.28 tff(6596,plain,
% 4.41/3.28 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s78, c_n2) | (~node4(s78))),
% 4.41/3.28 inference(modus_ponens,[status(thm)],[6595, 6594])).
% 4.41/3.28 tff(6597,plain,
% 4.41/3.28 (~node4(s78)),
% 4.41/3.28 inference(unit_resolution,[status(thm)],[6596, 388, 6593])).
% 4.41/3.28 tff(6598,plain,
% 4.41/3.28 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s78, c_t2)) | (~m_main_v_state2(s78, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s78, c_t2)) | (~m_main_v_state2(s78, c_c2)))),
% 4.41/3.28 inference(rewrite,[status(thm)],[])).
% 4.41/3.28 tff(6599,plain,
% 4.41/3.28 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s78, c_t2)) | (~m_main_v_state2(s78, c_c2)))),
% 4.41/3.28 inference(quant_inst,[status(thm)],[])).
% 4.41/3.28 tff(6600,plain,
% 4.41/3.28 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s78, c_t2)) | (~m_main_v_state2(s78, c_c2))),
% 4.41/3.28 inference(modus_ponens,[status(thm)],[6599, 6598])).
% 4.41/3.28 tff(6601,plain,
% 4.41/3.28 (~m_main_v_state2(s78, c_c2)),
% 4.41/3.28 inference(unit_resolution,[status(thm)],[6600, 260, 6589])).
% 4.41/3.28 tff(6602,plain,
% 4.41/3.28 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s78, c_c2) | (~node3(s78)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s78, c_c2) | (~node3(s78)))),
% 4.41/3.28 inference(rewrite,[status(thm)],[])).
% 4.41/3.28 tff(6603,plain,
% 4.41/3.28 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s78, c_c2) | (~node3(s78)))),
% 4.41/3.28 inference(quant_inst,[status(thm)],[])).
% 4.41/3.28 tff(6604,plain,
% 4.41/3.28 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s78, c_c2) | (~node3(s78))),
% 4.41/3.28 inference(modus_ponens,[status(thm)],[6603, 6602])).
% 4.41/3.28 tff(6605,plain,
% 4.41/3.28 (~node3(s78)),
% 4.41/3.28 inference(unit_resolution,[status(thm)],[6604, 399, 6601])).
% 4.41/3.28 tff(6606,plain,
% 4.41/3.28 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s78, c_n2) | (~node2(s78)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s78, c_n2) | (~node2(s78)))),
% 4.41/3.28 inference(rewrite,[status(thm)],[])).
% 4.41/3.28 tff(6607,plain,
% 4.41/3.28 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s78, c_n2) | (~node2(s78)))),
% 4.41/3.28 inference(quant_inst,[status(thm)],[])).
% 4.41/3.28 tff(6608,plain,
% 4.41/3.28 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s78, c_n2) | (~node2(s78))),
% 4.41/3.28 inference(modus_ponens,[status(thm)],[6607, 6606])).
% 4.41/3.28 tff(6609,plain,
% 4.41/3.28 (~node2(s78)),
% 4.41/3.28 inference(unit_resolution,[status(thm)],[6608, 410, 6593])).
% 4.41/3.28 tff(6610,plain,
% 4.41/3.28 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s78, c_n1)) | (~m_main_v_state1(s78, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s78, c_n1)) | (~m_main_v_state1(s78, c_c1)))),
% 4.41/3.28 inference(rewrite,[status(thm)],[])).
% 4.41/3.28 tff(6611,plain,
% 4.41/3.28 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s78, c_n1)) | (~m_main_v_state1(s78, c_c1)))),
% 4.41/3.28 inference(quant_inst,[status(thm)],[])).
% 4.41/3.28 tff(6612,plain,
% 4.41/3.28 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s78, c_n1)) | (~m_main_v_state1(s78, c_c1))),
% 4.41/3.28 inference(modus_ponens,[status(thm)],[6611, 6610])).
% 4.41/3.28 tff(6613,plain,
% 4.41/3.28 (~m_main_v_state1(s78, c_n1)),
% 4.41/3.28 inference(unit_resolution,[status(thm)],[6612, 454, 6572])).
% 4.41/3.28 tff(6614,plain,
% 4.41/3.28 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s78, c_n1) | (~node1(s78)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s78, c_n1) | (~node1(s78)))),
% 4.41/3.28 inference(rewrite,[status(thm)],[])).
% 4.41/3.28 tff(6615,plain,
% 4.41/3.28 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s78, c_n1) | (~node1(s78)))),
% 4.41/3.28 inference(quant_inst,[status(thm)],[])).
% 4.41/3.28 tff(6616,plain,
% 4.41/3.28 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s78, c_n1) | (~node1(s78))),
% 4.41/3.28 inference(modus_ponens,[status(thm)],[6615, 6614])).
% 4.41/3.28 tff(6617,plain,
% 4.41/3.28 (~node1(s78)),
% 4.41/3.28 inference(unit_resolution,[status(thm)],[6616, 421, 6613])).
% 4.41/3.28 tff(6618,plain,
% 4.41/3.28 (succ(s78, s79) <=> succ(s78, s79)),
% 4.41/3.28 inference(rewrite,[status(thm)],[])).
% 4.41/3.28 tff(6619,axiom,(succ(s78, s79)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound79')).
% 4.41/3.28 tff(6620,plain,
% 4.41/3.28 (succ(s78, s79)),
% 4.41/3.28 inference(modus_ponens,[status(thm)],[6619, 6618])).
% 4.41/3.28 tff(6621,plain,
% 4.41/3.28 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s78, s79)) | trans(s78, s79))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s78, s79)) | trans(s78, s79))),
% 4.41/3.28 inference(rewrite,[status(thm)],[])).
% 4.41/3.28 tff(6622,plain,
% 4.41/3.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s78, s79)) | trans(s78, s79))),
% 4.41/3.28 inference(quant_inst,[status(thm)],[])).
% 4.41/3.28 tff(6623,plain,
% 4.41/3.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s78, s79)) | trans(s78, s79)),
% 4.41/3.28 inference(modus_ponens,[status(thm)],[6622, 6621])).
% 4.41/3.28 tff(6624,plain,
% 4.41/3.28 (trans(s78, s79)),
% 4.41/3.28 inference(unit_resolution,[status(thm)],[6623, 6620, 32])).
% 4.41/3.28 tff(6625,plain,
% 4.41/3.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s78, s79)) | node7(s78, s79))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s78, s79)) | node7(s78, s79))),
% 4.41/3.28 inference(rewrite,[status(thm)],[])).
% 4.41/3.28 tff(6626,plain,
% 4.41/3.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s78, s79)) | node7(s78, s79))),
% 4.41/3.28 inference(quant_inst,[status(thm)],[])).
% 4.41/3.28 tff(6627,plain,
% 4.41/3.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s78, s79)) | node7(s78, s79)),
% 4.41/3.28 inference(modus_ponens,[status(thm)],[6626, 6625])).
% 4.41/3.28 tff(6628,plain,
% 4.41/3.28 (node7(s78, s79)),
% 4.41/3.28 inference(unit_resolution,[status(thm)],[6627, 206, 6624])).
% 4.41/3.28 tff(6629,plain,
% 4.41/3.28 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s79, c_n1) | (~m_main_v_state1(s78, c_c1)) | node1(s78) | node2(s78) | node3(s78) | node4(s78) | node5(s78) | (~node7(s78, s79)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s79, c_n1) | (~m_main_v_state1(s78, c_c1)) | node1(s78) | node2(s78) | node3(s78) | node4(s78) | node5(s78) | (~node7(s78, s79)))),
% 4.41/3.28 inference(rewrite,[status(thm)],[])).
% 4.41/3.28 tff(6630,plain,
% 4.41/3.28 (((~m_main_v_state1(s78, c_c1)) | node1(s78) | node2(s78) | node3(s78) | node4(s78) | node5(s78) | (~node7(s78, s79)) | m_main_v_state1(s79, c_n1)) <=> (m_main_v_state1(s79, c_n1) | (~m_main_v_state1(s78, c_c1)) | node1(s78) | node2(s78) | node3(s78) | node4(s78) | node5(s78) | (~node7(s78, s79)))),
% 4.41/3.28 inference(rewrite,[status(thm)],[])).
% 4.41/3.28 tff(6631,plain,
% 4.41/3.28 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s78, c_c1)) | node1(s78) | node2(s78) | node3(s78) | node4(s78) | node5(s78) | (~node7(s78, s79)) | m_main_v_state1(s79, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s79, c_n1) | (~m_main_v_state1(s78, c_c1)) | node1(s78) | node2(s78) | node3(s78) | node4(s78) | node5(s78) | (~node7(s78, s79))))),
% 4.41/3.28 inference(monotonicity,[status(thm)],[6630])).
% 4.41/3.28 tff(6632,plain,
% 4.41/3.28 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s78, c_c1)) | node1(s78) | node2(s78) | node3(s78) | node4(s78) | node5(s78) | (~node7(s78, s79)) | m_main_v_state1(s79, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s79, c_n1) | (~m_main_v_state1(s78, c_c1)) | node1(s78) | node2(s78) | node3(s78) | node4(s78) | node5(s78) | (~node7(s78, s79)))),
% 4.41/3.28 inference(transitivity,[status(thm)],[6631, 6629])).
% 4.41/3.28 tff(6633,plain,
% 4.41/3.28 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s78, c_c1)) | node1(s78) | node2(s78) | node3(s78) | node4(s78) | node5(s78) | (~node7(s78, s79)) | m_main_v_state1(s79, c_n1))),
% 4.41/3.28 inference(quant_inst,[status(thm)],[])).
% 4.41/3.28 tff(6634,plain,
% 4.41/3.28 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s79, c_n1) | (~m_main_v_state1(s78, c_c1)) | node1(s78) | node2(s78) | node3(s78) | node4(s78) | node5(s78) | (~node7(s78, s79))),
% 4.41/3.28 inference(modus_ponens,[status(thm)],[6633, 6632])).
% 4.41/3.28 tff(6635,plain,
% 4.41/3.28 (m_main_v_state1(s79, c_n1) | (~m_main_v_state1(s78, c_c1)) | node1(s78) | node2(s78) | node3(s78) | node4(s78) | node5(s78)),
% 4.41/3.28 inference(unit_resolution,[status(thm)],[6634, 584, 6628])).
% 4.41/3.28 tff(6636,plain,
% 4.41/3.28 (m_main_v_state1(s79, c_n1)),
% 4.41/3.28 inference(unit_resolution,[status(thm)],[6635, 6617, 6572, 6609, 6605, 6597, 6580])).
% 4.41/3.28 tff(6637,plain,
% 4.41/3.28 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s77, c_t2) | (~node15(s77)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s77, c_t2) | (~node15(s77)))),
% 4.41/3.28 inference(rewrite,[status(thm)],[])).
% 4.41/3.28 tff(6638,plain,
% 4.41/3.28 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s77, c_t2) | (~node15(s77)))),
% 4.41/3.28 inference(quant_inst,[status(thm)],[])).
% 4.41/3.28 tff(6639,plain,
% 4.41/3.28 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s77, c_t2) | (~node15(s77))),
% 4.41/3.28 inference(modus_ponens,[status(thm)],[6638, 6637])).
% 4.41/3.28 tff(6640,plain,
% 4.41/3.28 (~node15(s77)),
% 4.41/3.28 inference(unit_resolution,[status(thm)],[6639, 103, 6549])).
% 4.41/3.28 tff(6641,plain,
% 4.41/3.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s77, s78)) | node18(s77, s78))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s77, s78)) | node18(s77, s78))),
% 4.41/3.28 inference(rewrite,[status(thm)],[])).
% 4.41/3.28 tff(6642,plain,
% 4.41/3.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s77, s78)) | node18(s77, s78))),
% 4.41/3.28 inference(quant_inst,[status(thm)],[])).
% 4.41/3.28 tff(6643,plain,
% 4.41/3.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s77, s78)) | node18(s77, s78)),
% 4.41/3.28 inference(modus_ponens,[status(thm)],[6642, 6641])).
% 4.41/3.28 tff(6644,plain,
% 4.41/3.28 (node18(s77, s78)),
% 4.41/3.28 inference(unit_resolution,[status(thm)],[6643, 125, 6560])).
% 4.41/3.28 tff(6645,plain,
% 4.41/3.28 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s77) | (~node18(s77, s78)) | (~m_main_v_state1(s77, c_t1)) | (~m_main_v_state2(s77, c_n2)) | m_main_v_turn(s78, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s77) | (~node18(s77, s78)) | (~m_main_v_state1(s77, c_t1)) | (~m_main_v_state2(s77, c_n2)) | m_main_v_turn(s78, c_1))),
% 4.41/3.28 inference(rewrite,[status(thm)],[])).
% 4.41/3.28 tff(6646,plain,
% 4.41/3.28 (((~m_main_v_state1(s77, c_t1)) | (~m_main_v_state2(s77, c_n2)) | node15(s77) | (~node18(s77, s78)) | m_main_v_turn(s78, c_1)) <=> (node15(s77) | (~node18(s77, s78)) | (~m_main_v_state1(s77, c_t1)) | (~m_main_v_state2(s77, c_n2)) | m_main_v_turn(s78, c_1))),
% 4.41/3.28 inference(rewrite,[status(thm)],[])).
% 4.41/3.28 tff(6647,plain,
% 4.41/3.28 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s77, c_t1)) | (~m_main_v_state2(s77, c_n2)) | node15(s77) | (~node18(s77, s78)) | m_main_v_turn(s78, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s77) | (~node18(s77, s78)) | (~m_main_v_state1(s77, c_t1)) | (~m_main_v_state2(s77, c_n2)) | m_main_v_turn(s78, c_1)))),
% 4.41/3.28 inference(monotonicity,[status(thm)],[6646])).
% 4.41/3.28 tff(6648,plain,
% 4.41/3.28 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s77, c_t1)) | (~m_main_v_state2(s77, c_n2)) | node15(s77) | (~node18(s77, s78)) | m_main_v_turn(s78, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s77) | (~node18(s77, s78)) | (~m_main_v_state1(s77, c_t1)) | (~m_main_v_state2(s77, c_n2)) | m_main_v_turn(s78, c_1))),
% 4.41/3.28 inference(transitivity,[status(thm)],[6647, 6645])).
% 4.41/3.28 tff(6649,plain,
% 4.41/3.28 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s77, c_t1)) | (~m_main_v_state2(s77, c_n2)) | node15(s77) | (~node18(s77, s78)) | m_main_v_turn(s78, c_1))),
% 4.41/3.28 inference(quant_inst,[status(thm)],[])).
% 4.41/3.28 tff(6650,plain,
% 4.41/3.28 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s77) | (~node18(s77, s78)) | (~m_main_v_state1(s77, c_t1)) | (~m_main_v_state2(s77, c_n2)) | m_main_v_turn(s78, c_1)),
% 4.41/3.28 inference(modus_ponens,[status(thm)],[6649, 6648])).
% 4.41/3.28 tff(6651,plain,
% 4.41/3.28 (node15(s77) | (~m_main_v_state1(s77, c_t1)) | (~m_main_v_state2(s77, c_n2)) | m_main_v_turn(s78, c_1)),
% 4.41/3.28 inference(unit_resolution,[status(thm)],[6650, 992, 6644])).
% 4.41/3.28 tff(6652,plain,
% 4.41/3.28 (m_main_v_turn(s78, c_1)),
% 4.41/3.28 inference(unit_resolution,[status(thm)],[6651, 6640, 6477, 6545])).
% 4.41/3.28 tff(6653,plain,
% 4.41/3.28 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s78, c_1)) | (~m_main_v_turn(s78, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s78, c_1)) | (~m_main_v_turn(s78, c_2)))),
% 4.41/3.28 inference(rewrite,[status(thm)],[])).
% 4.41/3.28 tff(6654,plain,
% 4.41/3.28 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s78, c_1)) | (~m_main_v_turn(s78, c_2)))),
% 4.41/3.28 inference(quant_inst,[status(thm)],[])).
% 4.41/3.28 tff(6655,plain,
% 4.41/3.28 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s78, c_1)) | (~m_main_v_turn(s78, c_2))),
% 4.41/3.28 inference(modus_ponens,[status(thm)],[6654, 6653])).
% 4.41/3.28 tff(6656,plain,
% 4.41/3.28 (~m_main_v_turn(s78, c_2)),
% 4.41/3.28 inference(unit_resolution,[status(thm)],[6655, 156, 6652])).
% 4.41/3.28 tff(6657,plain,
% 4.41/3.28 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s78, c_2) | (~node12(s78)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s78, c_2) | (~node12(s78)))),
% 4.41/3.28 inference(rewrite,[status(thm)],[])).
% 4.41/3.28 tff(6658,plain,
% 4.41/3.28 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s78, c_2) | (~node12(s78)))),
% 4.41/3.28 inference(quant_inst,[status(thm)],[])).
% 4.41/3.28 tff(6659,plain,
% 4.41/3.28 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s78, c_2) | (~node12(s78))),
% 4.41/3.28 inference(modus_ponens,[status(thm)],[6658, 6657])).
% 4.41/3.28 tff(6660,plain,
% 4.41/3.28 (~node12(s78)),
% 4.41/3.28 inference(unit_resolution,[status(thm)],[6659, 184, 6656])).
% 4.41/3.28 tff(6661,plain,
% 4.41/3.28 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s78, c_n2) | (~node8(s78)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s78, c_n2) | (~node8(s78)))),
% 4.41/3.28 inference(rewrite,[status(thm)],[])).
% 4.41/3.28 tff(6662,plain,
% 4.41/3.28 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s78, c_n2) | (~node8(s78)))),
% 4.41/3.28 inference(quant_inst,[status(thm)],[])).
% 4.41/3.28 tff(6663,plain,
% 4.41/3.28 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s78, c_n2) | (~node8(s78))),
% 4.41/3.28 inference(modus_ponens,[status(thm)],[6662, 6661])).
% 4.41/3.28 tff(6664,plain,
% 4.41/3.28 (~node8(s78)),
% 4.41/3.28 inference(unit_resolution,[status(thm)],[6663, 271, 6593])).
% 4.41/3.28 tff(6665,plain,
% 4.41/3.28 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s78, c_n2) | (~node9(s78)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s78, c_n2) | (~node9(s78)))),
% 4.41/3.28 inference(rewrite,[status(thm)],[])).
% 4.41/3.28 tff(6666,plain,
% 4.41/3.28 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s78, c_n2) | (~node9(s78)))),
% 4.41/3.28 inference(quant_inst,[status(thm)],[])).
% 4.41/3.28 tff(6667,plain,
% 4.41/3.28 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s78, c_n2) | (~node9(s78))),
% 4.41/3.28 inference(modus_ponens,[status(thm)],[6666, 6665])).
% 4.41/3.28 tff(6668,plain,
% 4.41/3.28 (~node9(s78)),
% 4.41/3.28 inference(unit_resolution,[status(thm)],[6667, 88, 6593])).
% 4.41/3.28 tff(6669,plain,
% 4.41/3.28 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s78, c_n2) | (~node10(s78)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s78, c_n2) | (~node10(s78)))),
% 4.41/3.28 inference(rewrite,[status(thm)],[])).
% 4.41/3.28 tff(6670,plain,
% 4.41/3.28 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s78, c_n2) | (~node10(s78)))),
% 4.41/3.28 inference(quant_inst,[status(thm)],[])).
% 4.41/3.28 tff(6671,plain,
% 4.41/3.28 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s78, c_n2) | (~node10(s78))),
% 4.41/3.28 inference(modus_ponens,[status(thm)],[6670, 6669])).
% 4.41/3.28 tff(6672,plain,
% 4.41/3.28 (~node10(s78)),
% 4.41/3.28 inference(unit_resolution,[status(thm)],[6671, 249, 6593])).
% 4.41/3.28 tff(6673,plain,
% 4.41/3.28 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s78, c_n1) | (~node11(s78)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s78, c_n1) | (~node11(s78)))),
% 4.41/3.28 inference(rewrite,[status(thm)],[])).
% 4.41/3.28 tff(6674,plain,
% 4.41/3.28 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s78, c_n1) | (~node11(s78)))),
% 4.41/3.28 inference(quant_inst,[status(thm)],[])).
% 4.41/3.28 tff(6675,plain,
% 4.41/3.28 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s78, c_n1) | (~node11(s78))),
% 4.41/3.28 inference(modus_ponens,[status(thm)],[6674, 6673])).
% 4.41/3.28 tff(6676,plain,
% 4.41/3.28 (~node11(s78)),
% 4.41/3.28 inference(unit_resolution,[status(thm)],[6675, 238, 6613])).
% 4.41/3.28 tff(6677,plain,
% 4.41/3.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s78, s79)) | node14(s78, s79))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s78, s79)) | node14(s78, s79))),
% 4.41/3.28 inference(rewrite,[status(thm)],[])).
% 4.41/3.28 tff(6678,plain,
% 4.41/3.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s78, s79)) | node14(s78, s79))),
% 4.41/3.28 inference(quant_inst,[status(thm)],[])).
% 4.41/3.28 tff(6679,plain,
% 4.41/3.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s78, s79)) | node14(s78, s79)),
% 4.41/3.28 inference(modus_ponens,[status(thm)],[6678, 6677])).
% 4.41/3.28 tff(6680,plain,
% 4.41/3.28 (node14(s78, s79)),
% 4.41/3.28 inference(unit_resolution,[status(thm)],[6679, 46, 6624])).
% 4.41/3.28 tff(6681,plain,
% 4.41/3.28 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s78, c_c2) | node9(s78) | node8(s78) | node10(s78) | node11(s78) | node12(s78) | node13(s78, s79) | (~node14(s78, s79)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s78, c_c2) | node9(s78) | node8(s78) | node10(s78) | node11(s78) | node12(s78) | node13(s78, s79) | (~node14(s78, s79)))),
% 4.41/3.28 inference(rewrite,[status(thm)],[])).
% 4.41/3.28 tff(6682,plain,
% 4.41/3.28 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s78, c_c2) | node9(s78) | node8(s78) | node10(s78) | node11(s78) | node12(s78) | node13(s78, s79) | (~node14(s78, s79)))),
% 4.41/3.28 inference(quant_inst,[status(thm)],[])).
% 4.41/3.28 tff(6683,plain,
% 4.41/3.28 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s78, c_c2) | node9(s78) | node8(s78) | node10(s78) | node11(s78) | node12(s78) | node13(s78, s79) | (~node14(s78, s79))),
% 4.41/3.28 inference(modus_ponens,[status(thm)],[6682, 6681])).
% 4.41/3.28 tff(6684,plain,
% 4.41/3.28 (m_main_v_state2(s78, c_c2) | node9(s78) | node8(s78) | node10(s78) | node11(s78) | node12(s78) | node13(s78, s79)),
% 4.41/3.28 inference(unit_resolution,[status(thm)],[6683, 296, 6680])).
% 4.41/3.28 tff(6685,plain,
% 4.41/3.28 (node13(s78, s79)),
% 4.41/3.28 inference(unit_resolution,[status(thm)],[6684, 6676, 6601, 6672, 6668, 6664, 6660])).
% 4.41/3.28 tff(6686,plain,
% 4.41/3.28 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s78, c_t2)) | m_main_v_state2(s79, c_t2) | (~node13(s78, s79)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s78, c_t2)) | m_main_v_state2(s79, c_t2) | (~node13(s78, s79)))),
% 4.41/3.28 inference(rewrite,[status(thm)],[])).
% 4.41/3.28 tff(6687,plain,
% 4.41/3.28 (((~node13(s78, s79)) | (~m_main_v_state2(s78, c_t2)) | m_main_v_state2(s79, c_t2)) <=> ((~m_main_v_state2(s78, c_t2)) | m_main_v_state2(s79, c_t2) | (~node13(s78, s79)))),
% 4.41/3.28 inference(rewrite,[status(thm)],[])).
% 4.41/3.28 tff(6688,plain,
% 4.41/3.28 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s78, s79)) | (~m_main_v_state2(s78, c_t2)) | m_main_v_state2(s79, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s78, c_t2)) | m_main_v_state2(s79, c_t2) | (~node13(s78, s79))))),
% 4.41/3.28 inference(monotonicity,[status(thm)],[6687])).
% 4.41/3.28 tff(6689,plain,
% 4.41/3.28 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s78, s79)) | (~m_main_v_state2(s78, c_t2)) | m_main_v_state2(s79, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s78, c_t2)) | m_main_v_state2(s79, c_t2) | (~node13(s78, s79)))),
% 4.41/3.28 inference(transitivity,[status(thm)],[6688, 6686])).
% 4.41/3.28 tff(6690,plain,
% 4.41/3.28 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s78, s79)) | (~m_main_v_state2(s78, c_t2)) | m_main_v_state2(s79, c_t2))),
% 4.41/3.28 inference(quant_inst,[status(thm)],[])).
% 4.41/3.28 tff(6691,plain,
% 4.41/3.28 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s78, c_t2)) | m_main_v_state2(s79, c_t2) | (~node13(s78, s79))),
% 4.41/3.28 inference(modus_ponens,[status(thm)],[6690, 6689])).
% 4.41/3.28 tff(6692,plain,
% 4.41/3.28 (m_main_v_state2(s79, c_t2)),
% 4.41/3.28 inference(unit_resolution,[status(thm)],[6691, 518, 6589, 6685])).
% 4.41/3.28 tff(6693,plain,
% 4.41/3.28 (succ(s79, s80) <=> succ(s79, s80)),
% 4.41/3.28 inference(rewrite,[status(thm)],[])).
% 4.41/3.28 tff(6694,axiom,(succ(s79, s80)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound80')).
% 4.41/3.28 tff(6695,plain,
% 4.41/3.28 (succ(s79, s80)),
% 4.41/3.28 inference(modus_ponens,[status(thm)],[6694, 6693])).
% 4.41/3.28 tff(6696,plain,
% 4.41/3.28 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s79, s80)) | trans(s79, s80))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s79, s80)) | trans(s79, s80))),
% 4.41/3.28 inference(rewrite,[status(thm)],[])).
% 4.41/3.28 tff(6697,plain,
% 4.41/3.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s79, s80)) | trans(s79, s80))),
% 4.41/3.28 inference(quant_inst,[status(thm)],[])).
% 4.41/3.28 tff(6698,plain,
% 4.41/3.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s79, s80)) | trans(s79, s80)),
% 4.41/3.28 inference(modus_ponens,[status(thm)],[6697, 6696])).
% 4.41/3.28 tff(6699,plain,
% 4.41/3.28 (trans(s79, s80)),
% 4.41/3.28 inference(unit_resolution,[status(thm)],[6698, 6695, 32])).
% 4.41/3.28 tff(6700,plain,
% 4.41/3.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s79, s80)) | node7(s79, s80))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s79, s80)) | node7(s79, s80))),
% 4.41/3.29 inference(rewrite,[status(thm)],[])).
% 4.41/3.29 tff(6701,plain,
% 4.41/3.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s79, s80)) | node7(s79, s80))),
% 4.41/3.29 inference(quant_inst,[status(thm)],[])).
% 4.41/3.29 tff(6702,plain,
% 4.41/3.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s79, s80)) | node7(s79, s80)),
% 4.41/3.29 inference(modus_ponens,[status(thm)],[6701, 6700])).
% 4.41/3.29 tff(6703,plain,
% 4.41/3.29 (node7(s79, s80)),
% 4.41/3.29 inference(unit_resolution,[status(thm)],[6702, 206, 6699])).
% 4.41/3.29 tff(6704,plain,
% 4.41/3.29 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s79, c_n1)) | (~m_main_v_state2(s79, c_t2)) | (~node7(s79, s80)) | m_main_v_state1(s80, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s79, c_n1)) | (~m_main_v_state2(s79, c_t2)) | (~node7(s79, s80)) | m_main_v_state1(s80, c_t1))),
% 4.41/3.29 inference(rewrite,[status(thm)],[])).
% 4.41/3.29 tff(6705,plain,
% 4.41/3.29 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s79, c_n1)) | (~m_main_v_state2(s79, c_t2)) | (~node7(s79, s80)) | m_main_v_state1(s80, c_t1))),
% 4.41/3.29 inference(quant_inst,[status(thm)],[])).
% 4.41/3.29 tff(6706,plain,
% 4.41/3.29 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s79, c_n1)) | (~m_main_v_state2(s79, c_t2)) | (~node7(s79, s80)) | m_main_v_state1(s80, c_t1)),
% 4.41/3.29 inference(modus_ponens,[status(thm)],[6705, 6704])).
% 4.41/3.29 tff(6707,plain,
% 4.41/3.29 ((~m_main_v_state1(s79, c_n1)) | (~m_main_v_state2(s79, c_t2)) | m_main_v_state1(s80, c_t1)),
% 4.41/3.29 inference(unit_resolution,[status(thm)],[6706, 651, 6703])).
% 4.41/3.29 tff(6708,plain,
% 4.41/3.29 (m_main_v_state1(s80, c_t1)),
% 4.41/3.29 inference(unit_resolution,[status(thm)],[6707, 6692, 6636])).
% 4.41/3.29 tff(6709,plain,
% 4.41/3.29 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s80, c_n1)) | (~m_main_v_state1(s80, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s80, c_n1)) | (~m_main_v_state1(s80, c_t1)))),
% 4.41/3.29 inference(rewrite,[status(thm)],[])).
% 4.41/3.29 tff(6710,plain,
% 4.41/3.29 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s80, c_n1)) | (~m_main_v_state1(s80, c_t1)))),
% 4.41/3.29 inference(quant_inst,[status(thm)],[])).
% 4.41/3.29 tff(6711,plain,
% 4.41/3.29 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s80, c_n1)) | (~m_main_v_state1(s80, c_t1))),
% 4.41/3.29 inference(modus_ponens,[status(thm)],[6710, 6709])).
% 4.41/3.29 tff(6712,plain,
% 4.41/3.29 (~m_main_v_state1(s80, c_n1)),
% 4.41/3.29 inference(unit_resolution,[status(thm)],[6711, 10, 6708])).
% 4.41/3.29 tff(6713,plain,
% 4.41/3.29 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s80, c_n1) | (~node1(s80)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s80, c_n1) | (~node1(s80)))),
% 4.41/3.29 inference(rewrite,[status(thm)],[])).
% 4.41/3.29 tff(6714,plain,
% 4.41/3.29 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s80, c_n1) | (~node1(s80)))),
% 4.41/3.29 inference(quant_inst,[status(thm)],[])).
% 4.41/3.29 tff(6715,plain,
% 4.41/3.29 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s80, c_n1) | (~node1(s80))),
% 4.41/3.29 inference(modus_ponens,[status(thm)],[6714, 6713])).
% 4.41/3.29 tff(6716,plain,
% 4.41/3.29 (~node1(s80)),
% 4.41/3.29 inference(unit_resolution,[status(thm)],[6715, 421, 6712])).
% 4.41/3.29 tff(6717,plain,
% 4.41/3.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s79, s80)) | node18(s79, s80))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s79, s80)) | node18(s79, s80))),
% 4.41/3.29 inference(rewrite,[status(thm)],[])).
% 4.41/3.29 tff(6718,plain,
% 4.41/3.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s79, s80)) | node18(s79, s80))),
% 4.41/3.29 inference(quant_inst,[status(thm)],[])).
% 4.41/3.29 tff(6719,plain,
% 4.41/3.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s79, s80)) | node18(s79, s80)),
% 4.41/3.29 inference(modus_ponens,[status(thm)],[6718, 6717])).
% 4.41/3.29 tff(6720,plain,
% 4.41/3.29 (node18(s79, s80)),
% 4.41/3.29 inference(unit_resolution,[status(thm)],[6719, 125, 6699])).
% 4.41/3.29 tff(6721,plain,
% 4.41/3.29 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s79, c_n1)) | (~m_main_v_state2(s79, c_t2)) | (~node18(s79, s80)) | m_main_v_turn(s80, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s79, c_n1)) | (~m_main_v_state2(s79, c_t2)) | (~node18(s79, s80)) | m_main_v_turn(s80, c_2))),
% 4.41/3.29 inference(rewrite,[status(thm)],[])).
% 4.41/3.29 tff(6722,plain,
% 4.41/3.29 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s79, c_n1)) | (~m_main_v_state2(s79, c_t2)) | (~node18(s79, s80)) | m_main_v_turn(s80, c_2))),
% 4.41/3.29 inference(quant_inst,[status(thm)],[])).
% 4.41/3.29 tff(6723,plain,
% 4.41/3.29 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s79, c_n1)) | (~m_main_v_state2(s79, c_t2)) | (~node18(s79, s80)) | m_main_v_turn(s80, c_2)),
% 4.41/3.29 inference(modus_ponens,[status(thm)],[6722, 6721])).
% 4.41/3.29 tff(6724,plain,
% 4.41/3.29 ((~m_main_v_state1(s79, c_n1)) | (~m_main_v_state2(s79, c_t2)) | m_main_v_turn(s80, c_2)),
% 4.41/3.29 inference(unit_resolution,[status(thm)],[6723, 760, 6720])).
% 4.41/3.29 tff(6725,plain,
% 4.41/3.29 (m_main_v_turn(s80, c_2)),
% 4.41/3.29 inference(unit_resolution,[status(thm)],[6724, 6692, 6636])).
% 4.41/3.29 tff(6726,plain,
% 4.41/3.29 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s80, c_1)) | (~m_main_v_turn(s80, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s80, c_1)) | (~m_main_v_turn(s80, c_2)))),
% 4.41/3.29 inference(rewrite,[status(thm)],[])).
% 4.41/3.29 tff(6727,plain,
% 4.41/3.29 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s80, c_1)) | (~m_main_v_turn(s80, c_2)))),
% 4.41/3.29 inference(quant_inst,[status(thm)],[])).
% 4.41/3.29 tff(6728,plain,
% 4.41/3.29 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s80, c_1)) | (~m_main_v_turn(s80, c_2))),
% 4.41/3.29 inference(modus_ponens,[status(thm)],[6727, 6726])).
% 4.41/3.29 tff(6729,plain,
% 4.41/3.29 (~m_main_v_turn(s80, c_1)),
% 4.41/3.29 inference(unit_resolution,[status(thm)],[6728, 156, 6725])).
% 4.41/3.29 tff(6730,plain,
% 4.41/3.29 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s80, c_1) | (~node5(s80)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s80, c_1) | (~node5(s80)))),
% 4.41/3.29 inference(rewrite,[status(thm)],[])).
% 4.41/3.29 tff(6731,plain,
% 4.41/3.29 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s80, c_1) | (~node5(s80)))),
% 4.41/3.29 inference(quant_inst,[status(thm)],[])).
% 4.41/3.29 tff(6732,plain,
% 4.41/3.29 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s80, c_1) | (~node5(s80))),
% 4.41/3.29 inference(modus_ponens,[status(thm)],[6731, 6730])).
% 4.41/3.29 tff(6733,plain,
% 4.41/3.29 (~node5(s80)),
% 4.41/3.29 inference(unit_resolution,[status(thm)],[6732, 776, 6729])).
% 4.41/3.29 tff(6734,plain,
% 4.41/3.29 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s80, c_n1) | (~node2(s80)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s80, c_n1) | (~node2(s80)))),
% 4.41/3.29 inference(rewrite,[status(thm)],[])).
% 4.41/3.29 tff(6735,plain,
% 4.41/3.29 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s80, c_n1) | (~node2(s80)))),
% 4.41/3.29 inference(quant_inst,[status(thm)],[])).
% 4.41/3.29 tff(6736,plain,
% 4.41/3.29 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s80, c_n1) | (~node2(s80))),
% 4.41/3.29 inference(modus_ponens,[status(thm)],[6735, 6734])).
% 4.41/3.29 tff(6737,plain,
% 4.41/3.29 (~node2(s80)),
% 4.41/3.29 inference(unit_resolution,[status(thm)],[6736, 787, 6712])).
% 4.41/3.29 tff(6738,plain,
% 4.41/3.29 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s80, c_n1) | (~node3(s80)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s80, c_n1) | (~node3(s80)))),
% 4.41/3.29 inference(rewrite,[status(thm)],[])).
% 4.41/3.29 tff(6739,plain,
% 4.41/3.29 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s80, c_n1) | (~node3(s80)))),
% 4.41/3.29 inference(quant_inst,[status(thm)],[])).
% 4.41/3.29 tff(6740,plain,
% 4.41/3.29 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s80, c_n1) | (~node3(s80))),
% 4.41/3.29 inference(modus_ponens,[status(thm)],[6739, 6738])).
% 4.41/3.29 tff(6741,plain,
% 4.41/3.29 (~node3(s80)),
% 4.41/3.29 inference(unit_resolution,[status(thm)],[6740, 798, 6712])).
% 4.41/3.29 tff(6742,plain,
% 4.41/3.29 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s80, c_t1)) | (~m_main_v_state1(s80, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s80, c_t1)) | (~m_main_v_state1(s80, c_c1)))),
% 4.41/3.29 inference(rewrite,[status(thm)],[])).
% 4.41/3.29 tff(6743,plain,
% 4.41/3.29 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s80, c_t1)) | (~m_main_v_state1(s80, c_c1)))),
% 4.41/3.29 inference(quant_inst,[status(thm)],[])).
% 4.41/3.29 tff(6744,plain,
% 4.41/3.29 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s80, c_t1)) | (~m_main_v_state1(s80, c_c1))),
% 4.41/3.29 inference(modus_ponens,[status(thm)],[6743, 6742])).
% 4.41/3.29 tff(6745,plain,
% 4.41/3.29 (~m_main_v_state1(s80, c_c1)),
% 4.41/3.29 inference(unit_resolution,[status(thm)],[6744, 539, 6708])).
% 4.41/3.29 tff(6746,plain,
% 4.41/3.29 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s78, c_n2) | (~m_main_v_state2(s79, c_n2)) | (~node13(s78, s79)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s78, c_n2) | (~m_main_v_state2(s79, c_n2)) | (~node13(s78, s79)))),
% 4.41/3.29 inference(rewrite,[status(thm)],[])).
% 4.41/3.29 tff(6747,plain,
% 4.41/3.29 (((~node13(s78, s79)) | m_main_v_state2(s78, c_n2) | (~m_main_v_state2(s79, c_n2))) <=> (m_main_v_state2(s78, c_n2) | (~m_main_v_state2(s79, c_n2)) | (~node13(s78, s79)))),
% 4.41/3.29 inference(rewrite,[status(thm)],[])).
% 4.41/3.29 tff(6748,plain,
% 4.41/3.29 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s78, s79)) | m_main_v_state2(s78, c_n2) | (~m_main_v_state2(s79, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s78, c_n2) | (~m_main_v_state2(s79, c_n2)) | (~node13(s78, s79))))),
% 4.41/3.29 inference(monotonicity,[status(thm)],[6747])).
% 4.41/3.29 tff(6749,plain,
% 4.41/3.29 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s78, s79)) | m_main_v_state2(s78, c_n2) | (~m_main_v_state2(s79, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s78, c_n2) | (~m_main_v_state2(s79, c_n2)) | (~node13(s78, s79)))),
% 4.41/3.29 inference(transitivity,[status(thm)],[6748, 6746])).
% 4.41/3.29 tff(6750,plain,
% 4.41/3.29 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s78, s79)) | m_main_v_state2(s78, c_n2) | (~m_main_v_state2(s79, c_n2)))),
% 4.41/3.29 inference(quant_inst,[status(thm)],[])).
% 4.41/3.29 tff(6751,plain,
% 4.41/3.29 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s78, c_n2) | (~m_main_v_state2(s79, c_n2)) | (~node13(s78, s79))),
% 4.41/3.29 inference(modus_ponens,[status(thm)],[6750, 6749])).
% 4.41/3.29 tff(6752,plain,
% 4.41/3.29 (~m_main_v_state2(s79, c_n2)),
% 4.41/3.29 inference(unit_resolution,[status(thm)],[6751, 311, 6593, 6685])).
% 4.41/3.29 tff(6753,plain,
% 4.41/3.29 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s79, c_n2) | (~node9(s79)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s79, c_n2) | (~node9(s79)))),
% 4.41/3.29 inference(rewrite,[status(thm)],[])).
% 4.41/3.29 tff(6754,plain,
% 4.41/3.29 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s79, c_n2) | (~node9(s79)))),
% 4.41/3.29 inference(quant_inst,[status(thm)],[])).
% 4.41/3.29 tff(6755,plain,
% 4.41/3.29 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s79, c_n2) | (~node9(s79))),
% 4.41/3.29 inference(modus_ponens,[status(thm)],[6754, 6753])).
% 4.41/3.29 tff(6756,plain,
% 4.41/3.29 (~node9(s79)),
% 4.41/3.29 inference(unit_resolution,[status(thm)],[6755, 88, 6752])).
% 4.41/3.29 tff(6757,plain,
% 4.41/3.29 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s79, c_n2) | (~node10(s79)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s79, c_n2) | (~node10(s79)))),
% 4.41/3.29 inference(rewrite,[status(thm)],[])).
% 4.41/3.29 tff(6758,plain,
% 4.41/3.29 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s79, c_n2) | (~node10(s79)))),
% 4.41/3.29 inference(quant_inst,[status(thm)],[])).
% 4.41/3.29 tff(6759,plain,
% 4.41/3.29 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s79, c_n2) | (~node10(s79))),
% 4.41/3.29 inference(modus_ponens,[status(thm)],[6758, 6757])).
% 4.41/3.29 tff(6760,plain,
% 4.41/3.29 (~node10(s79)),
% 4.41/3.29 inference(unit_resolution,[status(thm)],[6759, 249, 6752])).
% 4.41/3.29 tff(6761,plain,
% 4.41/3.29 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s79, c_n2) | (~node8(s79)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s79, c_n2) | (~node8(s79)))),
% 4.41/3.29 inference(rewrite,[status(thm)],[])).
% 4.41/3.29 tff(6762,plain,
% 4.41/3.29 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s79, c_n2) | (~node8(s79)))),
% 4.41/3.29 inference(quant_inst,[status(thm)],[])).
% 4.41/3.29 tff(6763,plain,
% 4.41/3.29 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s79, c_n2) | (~node8(s79))),
% 4.41/3.29 inference(modus_ponens,[status(thm)],[6762, 6761])).
% 4.41/3.29 tff(6764,plain,
% 4.41/3.29 (~node8(s79)),
% 4.41/3.29 inference(unit_resolution,[status(thm)],[6763, 271, 6752])).
% 4.41/3.29 tff(6765,plain,
% 4.41/3.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s79, s80)) | node14(s79, s80))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s79, s80)) | node14(s79, s80))),
% 4.41/3.29 inference(rewrite,[status(thm)],[])).
% 4.41/3.29 tff(6766,plain,
% 4.41/3.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s79, s80)) | node14(s79, s80))),
% 4.41/3.29 inference(quant_inst,[status(thm)],[])).
% 4.41/3.29 tff(6767,plain,
% 4.41/3.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s79, s80)) | node14(s79, s80)),
% 4.41/3.29 inference(modus_ponens,[status(thm)],[6766, 6765])).
% 4.41/3.29 tff(6768,plain,
% 4.41/3.29 (node14(s79, s80)),
% 4.41/3.29 inference(unit_resolution,[status(thm)],[6767, 46, 6699])).
% 4.41/3.29 tff(6769,plain,
% 4.41/3.29 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s79, c_n1)) | (~m_main_v_state2(s79, c_t2)) | node9(s79) | node8(s79) | node10(s79) | (~node14(s79, s80)) | m_main_v_state2(s80, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s79, c_n1)) | (~m_main_v_state2(s79, c_t2)) | node9(s79) | node8(s79) | node10(s79) | (~node14(s79, s80)) | m_main_v_state2(s80, c_c2))),
% 4.41/3.29 inference(rewrite,[status(thm)],[])).
% 4.41/3.29 tff(6770,plain,
% 4.41/3.29 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s79, c_n1)) | (~m_main_v_state2(s79, c_t2)) | node9(s79) | node8(s79) | node10(s79) | (~node14(s79, s80)) | m_main_v_state2(s80, c_c2))),
% 4.41/3.29 inference(quant_inst,[status(thm)],[])).
% 4.41/3.29 tff(6771,plain,
% 4.41/3.29 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s79, c_n1)) | (~m_main_v_state2(s79, c_t2)) | node9(s79) | node8(s79) | node10(s79) | (~node14(s79, s80)) | m_main_v_state2(s80, c_c2)),
% 4.41/3.29 inference(modus_ponens,[status(thm)],[6770, 6769])).
% 4.41/3.29 tff(6772,plain,
% 4.41/3.29 ((~m_main_v_state1(s79, c_n1)) | (~m_main_v_state2(s79, c_t2)) | node9(s79) | node8(s79) | node10(s79) | m_main_v_state2(s80, c_c2)),
% 4.41/3.29 inference(unit_resolution,[status(thm)],[6771, 617, 6768])).
% 4.41/3.29 tff(6773,plain,
% 4.41/3.29 (m_main_v_state2(s80, c_c2)),
% 4.41/3.29 inference(unit_resolution,[status(thm)],[6772, 6764, 6636, 6692, 6760, 6756])).
% 4.41/3.29 tff(6774,plain,
% 4.41/3.29 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s80, c_n2)) | (~m_main_v_state2(s80, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s80, c_n2)) | (~m_main_v_state2(s80, c_c2)))),
% 4.41/3.29 inference(rewrite,[status(thm)],[])).
% 4.41/3.29 tff(6775,plain,
% 4.41/3.29 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s80, c_n2)) | (~m_main_v_state2(s80, c_c2)))),
% 4.41/3.29 inference(quant_inst,[status(thm)],[])).
% 4.41/3.29 tff(6776,plain,
% 4.41/3.29 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s80, c_n2)) | (~m_main_v_state2(s80, c_c2))),
% 4.41/3.29 inference(modus_ponens,[status(thm)],[6775, 6774])).
% 4.41/3.29 tff(6777,plain,
% 4.41/3.29 (~m_main_v_state2(s80, c_n2)),
% 4.41/3.29 inference(unit_resolution,[status(thm)],[6776, 697, 6773])).
% 4.41/3.29 tff(6778,plain,
% 4.41/3.29 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s80, c_n2) | (~node4(s80)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s80, c_n2) | (~node4(s80)))),
% 4.41/3.29 inference(rewrite,[status(thm)],[])).
% 4.41/3.29 tff(6779,plain,
% 4.41/3.29 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s80, c_n2) | (~node4(s80)))),
% 4.41/3.29 inference(quant_inst,[status(thm)],[])).
% 4.41/3.29 tff(6780,plain,
% 4.41/3.29 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s80, c_n2) | (~node4(s80))),
% 4.41/3.29 inference(modus_ponens,[status(thm)],[6779, 6778])).
% 4.41/3.29 tff(6781,plain,
% 4.41/3.29 (~node4(s80)),
% 4.41/3.29 inference(unit_resolution,[status(thm)],[6780, 388, 6777])).
% 4.41/3.29 tff(6782,plain,
% 4.41/3.29 (succ(s80, s81) <=> succ(s80, s81)),
% 4.41/3.29 inference(rewrite,[status(thm)],[])).
% 4.41/3.29 tff(6783,axiom,(succ(s80, s81)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound81')).
% 4.41/3.29 tff(6784,plain,
% 4.41/3.29 (succ(s80, s81)),
% 4.41/3.29 inference(modus_ponens,[status(thm)],[6783, 6782])).
% 4.41/3.29 tff(6785,plain,
% 4.41/3.29 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s80, s81)) | trans(s80, s81))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s80, s81)) | trans(s80, s81))),
% 4.41/3.29 inference(rewrite,[status(thm)],[])).
% 4.41/3.29 tff(6786,plain,
% 4.41/3.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s80, s81)) | trans(s80, s81))),
% 4.41/3.29 inference(quant_inst,[status(thm)],[])).
% 4.41/3.29 tff(6787,plain,
% 4.41/3.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s80, s81)) | trans(s80, s81)),
% 4.41/3.29 inference(modus_ponens,[status(thm)],[6786, 6785])).
% 4.41/3.29 tff(6788,plain,
% 4.41/3.29 (trans(s80, s81)),
% 4.41/3.29 inference(unit_resolution,[status(thm)],[6787, 6784, 32])).
% 4.41/3.29 tff(6789,plain,
% 4.41/3.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s80, s81)) | node7(s80, s81))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s80, s81)) | node7(s80, s81))),
% 4.41/3.29 inference(rewrite,[status(thm)],[])).
% 4.41/3.29 tff(6790,plain,
% 4.41/3.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s80, s81)) | node7(s80, s81))),
% 4.41/3.29 inference(quant_inst,[status(thm)],[])).
% 4.41/3.29 tff(6791,plain,
% 4.41/3.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s80, s81)) | node7(s80, s81)),
% 4.41/3.29 inference(modus_ponens,[status(thm)],[6790, 6789])).
% 4.41/3.29 tff(6792,plain,
% 4.41/3.29 (node7(s80, s81)),
% 4.41/3.29 inference(unit_resolution,[status(thm)],[6791, 206, 6788])).
% 4.41/3.29 tff(6793,plain,
% 4.41/3.29 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s80, c_c1) | node1(s80) | node2(s80) | node3(s80) | node4(s80) | node5(s80) | node6(s80, s81) | (~node7(s80, s81)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s80, c_c1) | node1(s80) | node2(s80) | node3(s80) | node4(s80) | node5(s80) | node6(s80, s81) | (~node7(s80, s81)))),
% 4.41/3.29 inference(rewrite,[status(thm)],[])).
% 4.41/3.29 tff(6794,plain,
% 4.41/3.29 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s80, c_c1) | node1(s80) | node2(s80) | node3(s80) | node4(s80) | node5(s80) | node6(s80, s81) | (~node7(s80, s81)))),
% 4.41/3.29 inference(quant_inst,[status(thm)],[])).
% 4.41/3.29 tff(6795,plain,
% 4.41/3.29 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s80, c_c1) | node1(s80) | node2(s80) | node3(s80) | node4(s80) | node5(s80) | node6(s80, s81) | (~node7(s80, s81))),
% 4.41/3.29 inference(modus_ponens,[status(thm)],[6794, 6793])).
% 4.41/3.29 tff(6796,plain,
% 4.41/3.29 (m_main_v_state1(s80, c_c1) | node1(s80) | node2(s80) | node3(s80) | node4(s80) | node5(s80) | node6(s80, s81)),
% 4.41/3.29 inference(unit_resolution,[status(thm)],[6795, 820, 6792])).
% 4.41/3.29 tff(6797,plain,
% 4.41/3.29 (node6(s80, s81)),
% 4.41/3.29 inference(unit_resolution,[status(thm)],[6796, 6781, 6745, 6741, 6737, 6733, 6716])).
% 4.41/3.29 tff(6798,plain,
% 4.41/3.29 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s80, c_t1)) | m_main_v_state1(s81, c_t1) | (~node6(s80, s81)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s80, c_t1)) | m_main_v_state1(s81, c_t1) | (~node6(s80, s81)))),
% 4.41/3.29 inference(rewrite,[status(thm)],[])).
% 4.41/3.29 tff(6799,plain,
% 4.41/3.29 (((~node6(s80, s81)) | (~m_main_v_state1(s80, c_t1)) | m_main_v_state1(s81, c_t1)) <=> ((~m_main_v_state1(s80, c_t1)) | m_main_v_state1(s81, c_t1) | (~node6(s80, s81)))),
% 4.41/3.29 inference(rewrite,[status(thm)],[])).
% 4.41/3.29 tff(6800,plain,
% 4.41/3.29 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s80, s81)) | (~m_main_v_state1(s80, c_t1)) | m_main_v_state1(s81, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s80, c_t1)) | m_main_v_state1(s81, c_t1) | (~node6(s80, s81))))),
% 4.41/3.29 inference(monotonicity,[status(thm)],[6799])).
% 4.41/3.29 tff(6801,plain,
% 4.41/3.29 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s80, s81)) | (~m_main_v_state1(s80, c_t1)) | m_main_v_state1(s81, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s80, c_t1)) | m_main_v_state1(s81, c_t1) | (~node6(s80, s81)))),
% 4.41/3.29 inference(transitivity,[status(thm)],[6800, 6798])).
% 4.41/3.29 tff(6802,plain,
% 4.41/3.29 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s80, s81)) | (~m_main_v_state1(s80, c_t1)) | m_main_v_state1(s81, c_t1))),
% 4.41/3.29 inference(quant_inst,[status(thm)],[])).
% 4.41/3.29 tff(6803,plain,
% 4.41/3.29 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s80, c_t1)) | m_main_v_state1(s81, c_t1) | (~node6(s80, s81))),
% 4.41/3.29 inference(modus_ponens,[status(thm)],[6802, 6801])).
% 4.41/3.29 tff(6804,plain,
% 4.41/3.29 (m_main_v_state1(s81, c_t1)),
% 4.41/3.29 inference(unit_resolution,[status(thm)],[6803, 856, 6708, 6797])).
% 4.41/3.29 tff(6805,plain,
% 4.41/3.29 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s80, c_t2)) | (~m_main_v_state2(s80, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s80, c_t2)) | (~m_main_v_state2(s80, c_c2)))),
% 4.41/3.29 inference(rewrite,[status(thm)],[])).
% 4.41/3.29 tff(6806,plain,
% 4.41/3.29 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s80, c_t2)) | (~m_main_v_state2(s80, c_c2)))),
% 4.41/3.29 inference(quant_inst,[status(thm)],[])).
% 4.41/3.29 tff(6807,plain,
% 4.41/3.29 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s80, c_t2)) | (~m_main_v_state2(s80, c_c2))),
% 4.41/3.29 inference(modus_ponens,[status(thm)],[6806, 6805])).
% 4.41/3.29 tff(6808,plain,
% 4.41/3.29 (~m_main_v_state2(s80, c_t2)),
% 4.41/3.29 inference(unit_resolution,[status(thm)],[6807, 260, 6773])).
% 4.41/3.29 tff(6809,plain,
% 4.41/3.29 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s80, c_t2) | (~node12(s80)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s80, c_t2) | (~node12(s80)))),
% 4.41/3.29 inference(rewrite,[status(thm)],[])).
% 4.41/3.29 tff(6810,plain,
% 4.41/3.29 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s80, c_t2) | (~node12(s80)))),
% 4.41/3.29 inference(quant_inst,[status(thm)],[])).
% 4.41/3.29 tff(6811,plain,
% 4.41/3.29 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s80, c_t2) | (~node12(s80))),
% 4.41/3.29 inference(modus_ponens,[status(thm)],[6810, 6809])).
% 4.41/3.29 tff(6812,plain,
% 4.41/3.29 (~node12(s80)),
% 4.41/3.29 inference(unit_resolution,[status(thm)],[6811, 633, 6808])).
% 4.41/3.29 tff(6813,plain,
% 4.41/3.29 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s80, c_n1) | (~node11(s80)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s80, c_n1) | (~node11(s80)))),
% 4.41/3.29 inference(rewrite,[status(thm)],[])).
% 4.41/3.29 tff(6814,plain,
% 4.41/3.29 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s80, c_n1) | (~node11(s80)))),
% 4.41/3.29 inference(quant_inst,[status(thm)],[])).
% 4.41/3.29 tff(6815,plain,
% 4.41/3.29 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s80, c_n1) | (~node11(s80))),
% 4.41/3.29 inference(modus_ponens,[status(thm)],[6814, 6813])).
% 4.41/3.29 tff(6816,plain,
% 4.41/3.29 (~node11(s80)),
% 4.41/3.29 inference(unit_resolution,[status(thm)],[6815, 238, 6712])).
% 4.41/3.29 tff(6817,plain,
% 4.41/3.29 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s80, c_c1) | (~node10(s80)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s80, c_c1) | (~node10(s80)))),
% 4.41/3.29 inference(rewrite,[status(thm)],[])).
% 4.41/3.29 tff(6818,plain,
% 4.41/3.29 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s80, c_c1) | (~node10(s80)))),
% 4.41/3.29 inference(quant_inst,[status(thm)],[])).
% 4.41/3.29 tff(6819,plain,
% 4.41/3.29 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s80, c_c1) | (~node10(s80))),
% 4.41/3.29 inference(modus_ponens,[status(thm)],[6818, 6817])).
% 4.41/3.29 tff(6820,plain,
% 4.41/3.29 (~node10(s80)),
% 4.41/3.29 inference(unit_resolution,[status(thm)],[6819, 675, 6745])).
% 4.41/3.29 tff(6821,plain,
% 4.41/3.29 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s80, c_n1) | (~node9(s80)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s80, c_n1) | (~node9(s80)))),
% 4.41/3.29 inference(rewrite,[status(thm)],[])).
% 4.41/3.29 tff(6822,plain,
% 4.41/3.29 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s80, c_n1) | (~node9(s80)))),
% 4.41/3.29 inference(quant_inst,[status(thm)],[])).
% 4.41/3.29 tff(6823,plain,
% 4.41/3.29 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s80, c_n1) | (~node9(s80))),
% 4.41/3.29 inference(modus_ponens,[status(thm)],[6822, 6821])).
% 4.41/3.29 tff(6824,plain,
% 4.41/3.29 (~node9(s80)),
% 4.41/3.29 inference(unit_resolution,[status(thm)],[6823, 686, 6712])).
% 4.41/3.29 tff(6825,plain,
% 4.41/3.29 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s80, c_n2) | (~node8(s80)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s80, c_n2) | (~node8(s80)))),
% 4.41/3.29 inference(rewrite,[status(thm)],[])).
% 4.41/3.29 tff(6826,plain,
% 4.41/3.29 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s80, c_n2) | (~node8(s80)))),
% 4.41/3.29 inference(quant_inst,[status(thm)],[])).
% 4.41/3.29 tff(6827,plain,
% 4.41/3.29 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s80, c_n2) | (~node8(s80))),
% 4.41/3.29 inference(modus_ponens,[status(thm)],[6826, 6825])).
% 4.41/3.29 tff(6828,plain,
% 4.41/3.29 (~node8(s80)),
% 4.41/3.29 inference(unit_resolution,[status(thm)],[6827, 271, 6777])).
% 4.41/3.29 tff(6829,plain,
% 4.41/3.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s80, s81)) | node14(s80, s81))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s80, s81)) | node14(s80, s81))),
% 4.41/3.29 inference(rewrite,[status(thm)],[])).
% 4.41/3.29 tff(6830,plain,
% 4.41/3.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s80, s81)) | node14(s80, s81))),
% 4.41/3.29 inference(quant_inst,[status(thm)],[])).
% 4.41/3.29 tff(6831,plain,
% 4.41/3.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s80, s81)) | node14(s80, s81)),
% 4.41/3.30 inference(modus_ponens,[status(thm)],[6830, 6829])).
% 4.41/3.30 tff(6832,plain,
% 4.41/3.30 (node14(s80, s81)),
% 4.41/3.30 inference(unit_resolution,[status(thm)],[6831, 46, 6788])).
% 4.41/3.30 tff(6833,plain,
% 4.41/3.30 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s81, c_n2) | node9(s80) | node8(s80) | node10(s80) | node11(s80) | node12(s80) | (~node14(s80, s81)) | (~m_main_v_state2(s80, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s81, c_n2) | node9(s80) | node8(s80) | node10(s80) | node11(s80) | node12(s80) | (~node14(s80, s81)) | (~m_main_v_state2(s80, c_c2)))),
% 4.41/3.30 inference(rewrite,[status(thm)],[])).
% 4.41/3.30 tff(6834,plain,
% 4.41/3.30 (((~m_main_v_state2(s80, c_c2)) | node9(s80) | node8(s80) | node10(s80) | node11(s80) | node12(s80) | (~node14(s80, s81)) | m_main_v_state2(s81, c_n2)) <=> (m_main_v_state2(s81, c_n2) | node9(s80) | node8(s80) | node10(s80) | node11(s80) | node12(s80) | (~node14(s80, s81)) | (~m_main_v_state2(s80, c_c2)))),
% 4.41/3.30 inference(rewrite,[status(thm)],[])).
% 4.41/3.30 tff(6835,plain,
% 4.41/3.30 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s80, c_c2)) | node9(s80) | node8(s80) | node10(s80) | node11(s80) | node12(s80) | (~node14(s80, s81)) | m_main_v_state2(s81, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s81, c_n2) | node9(s80) | node8(s80) | node10(s80) | node11(s80) | node12(s80) | (~node14(s80, s81)) | (~m_main_v_state2(s80, c_c2))))),
% 4.41/3.30 inference(monotonicity,[status(thm)],[6834])).
% 4.41/3.30 tff(6836,plain,
% 4.41/3.30 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s80, c_c2)) | node9(s80) | node8(s80) | node10(s80) | node11(s80) | node12(s80) | (~node14(s80, s81)) | m_main_v_state2(s81, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s81, c_n2) | node9(s80) | node8(s80) | node10(s80) | node11(s80) | node12(s80) | (~node14(s80, s81)) | (~m_main_v_state2(s80, c_c2)))),
% 4.41/3.30 inference(transitivity,[status(thm)],[6835, 6833])).
% 4.41/3.30 tff(6837,plain,
% 4.41/3.30 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s80, c_c2)) | node9(s80) | node8(s80) | node10(s80) | node11(s80) | node12(s80) | (~node14(s80, s81)) | m_main_v_state2(s81, c_n2))),
% 4.41/3.30 inference(quant_inst,[status(thm)],[])).
% 4.41/3.30 tff(6838,plain,
% 4.41/3.30 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s81, c_n2) | node9(s80) | node8(s80) | node10(s80) | node11(s80) | node12(s80) | (~node14(s80, s81)) | (~m_main_v_state2(s80, c_c2))),
% 4.41/3.30 inference(modus_ponens,[status(thm)],[6837, 6836])).
% 4.41/3.30 tff(6839,plain,
% 4.41/3.30 (m_main_v_state2(s81, c_n2) | node9(s80) | node8(s80) | node10(s80) | node11(s80) | node12(s80) | (~m_main_v_state2(s80, c_c2))),
% 4.41/3.30 inference(unit_resolution,[status(thm)],[6838, 726, 6832])).
% 4.41/3.30 tff(6840,plain,
% 4.41/3.30 (m_main_v_state2(s81, c_n2)),
% 4.41/3.30 inference(unit_resolution,[status(thm)],[6839, 6828, 6773, 6824, 6820, 6816, 6812])).
% 4.41/3.30 tff(6841,plain,
% 4.41/3.30 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s81, c_n2)) | (~m_main_v_state2(s81, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s81, c_n2)) | (~m_main_v_state2(s81, c_t2)))),
% 4.41/3.30 inference(rewrite,[status(thm)],[])).
% 4.41/3.30 tff(6842,plain,
% 4.41/3.30 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s81, c_n2)) | (~m_main_v_state2(s81, c_t2)))),
% 4.41/3.30 inference(quant_inst,[status(thm)],[])).
% 4.41/3.30 tff(6843,plain,
% 4.41/3.30 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s81, c_n2)) | (~m_main_v_state2(s81, c_t2))),
% 4.41/3.30 inference(modus_ponens,[status(thm)],[6842, 6841])).
% 4.41/3.30 tff(6844,plain,
% 4.41/3.30 (~m_main_v_state2(s81, c_t2)),
% 4.41/3.30 inference(unit_resolution,[status(thm)],[6843, 77, 6840])).
% 4.41/3.30 tff(6845,plain,
% 4.41/3.30 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s81, c_t2) | (~node15(s81)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s81, c_t2) | (~node15(s81)))),
% 4.41/3.30 inference(rewrite,[status(thm)],[])).
% 4.41/3.30 tff(6846,plain,
% 4.41/3.30 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s81, c_t2) | (~node15(s81)))),
% 4.41/3.30 inference(quant_inst,[status(thm)],[])).
% 4.41/3.30 tff(6847,plain,
% 4.41/3.30 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s81, c_t2) | (~node15(s81))),
% 4.41/3.30 inference(modus_ponens,[status(thm)],[6846, 6845])).
% 4.41/3.30 tff(6848,plain,
% 4.41/3.30 (~node15(s81)),
% 4.41/3.30 inference(unit_resolution,[status(thm)],[6847, 103, 6844])).
% 4.41/3.30 tff(6849,plain,
% 4.41/3.30 (succ(s81, s82) <=> succ(s81, s82)),
% 4.41/3.30 inference(rewrite,[status(thm)],[])).
% 4.41/3.30 tff(6850,axiom,(succ(s81, s82)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound82')).
% 4.41/3.30 tff(6851,plain,
% 4.41/3.30 (succ(s81, s82)),
% 4.41/3.30 inference(modus_ponens,[status(thm)],[6850, 6849])).
% 4.41/3.30 tff(6852,plain,
% 4.41/3.30 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s81, s82)) | trans(s81, s82))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s81, s82)) | trans(s81, s82))),
% 4.41/3.30 inference(rewrite,[status(thm)],[])).
% 4.41/3.30 tff(6853,plain,
% 4.41/3.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s81, s82)) | trans(s81, s82))),
% 4.41/3.30 inference(quant_inst,[status(thm)],[])).
% 4.41/3.30 tff(6854,plain,
% 4.41/3.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s81, s82)) | trans(s81, s82)),
% 4.41/3.30 inference(modus_ponens,[status(thm)],[6853, 6852])).
% 4.41/3.30 tff(6855,plain,
% 4.41/3.30 (trans(s81, s82)),
% 4.41/3.30 inference(unit_resolution,[status(thm)],[6854, 6851, 32])).
% 4.41/3.30 tff(6856,plain,
% 4.41/3.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s81, s82)) | node18(s81, s82))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s81, s82)) | node18(s81, s82))),
% 4.41/3.30 inference(rewrite,[status(thm)],[])).
% 4.41/3.30 tff(6857,plain,
% 4.41/3.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s81, s82)) | node18(s81, s82))),
% 4.41/3.30 inference(quant_inst,[status(thm)],[])).
% 4.41/3.30 tff(6858,plain,
% 4.41/3.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s81, s82)) | node18(s81, s82)),
% 4.41/3.30 inference(modus_ponens,[status(thm)],[6857, 6856])).
% 4.41/3.30 tff(6859,plain,
% 4.41/3.30 (node18(s81, s82)),
% 4.41/3.30 inference(unit_resolution,[status(thm)],[6858, 125, 6855])).
% 4.41/3.30 tff(6860,plain,
% 4.41/3.30 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s81) | (~node18(s81, s82)) | (~m_main_v_state1(s81, c_t1)) | (~m_main_v_state2(s81, c_n2)) | m_main_v_turn(s82, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s81) | (~node18(s81, s82)) | (~m_main_v_state1(s81, c_t1)) | (~m_main_v_state2(s81, c_n2)) | m_main_v_turn(s82, c_1))),
% 4.41/3.30 inference(rewrite,[status(thm)],[])).
% 4.41/3.30 tff(6861,plain,
% 4.41/3.30 (((~m_main_v_state1(s81, c_t1)) | (~m_main_v_state2(s81, c_n2)) | node15(s81) | (~node18(s81, s82)) | m_main_v_turn(s82, c_1)) <=> (node15(s81) | (~node18(s81, s82)) | (~m_main_v_state1(s81, c_t1)) | (~m_main_v_state2(s81, c_n2)) | m_main_v_turn(s82, c_1))),
% 4.41/3.30 inference(rewrite,[status(thm)],[])).
% 4.41/3.30 tff(6862,plain,
% 4.41/3.30 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s81, c_t1)) | (~m_main_v_state2(s81, c_n2)) | node15(s81) | (~node18(s81, s82)) | m_main_v_turn(s82, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s81) | (~node18(s81, s82)) | (~m_main_v_state1(s81, c_t1)) | (~m_main_v_state2(s81, c_n2)) | m_main_v_turn(s82, c_1)))),
% 4.41/3.30 inference(monotonicity,[status(thm)],[6861])).
% 4.41/3.30 tff(6863,plain,
% 4.41/3.30 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s81, c_t1)) | (~m_main_v_state2(s81, c_n2)) | node15(s81) | (~node18(s81, s82)) | m_main_v_turn(s82, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s81) | (~node18(s81, s82)) | (~m_main_v_state1(s81, c_t1)) | (~m_main_v_state2(s81, c_n2)) | m_main_v_turn(s82, c_1))),
% 4.41/3.30 inference(transitivity,[status(thm)],[6862, 6860])).
% 4.41/3.30 tff(6864,plain,
% 4.41/3.30 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s81, c_t1)) | (~m_main_v_state2(s81, c_n2)) | node15(s81) | (~node18(s81, s82)) | m_main_v_turn(s82, c_1))),
% 4.41/3.30 inference(quant_inst,[status(thm)],[])).
% 4.41/3.30 tff(6865,plain,
% 4.41/3.30 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s81) | (~node18(s81, s82)) | (~m_main_v_state1(s81, c_t1)) | (~m_main_v_state2(s81, c_n2)) | m_main_v_turn(s82, c_1)),
% 4.41/3.30 inference(modus_ponens,[status(thm)],[6864, 6863])).
% 4.41/3.30 tff(6866,plain,
% 4.41/3.30 (node15(s81) | (~m_main_v_state1(s81, c_t1)) | (~m_main_v_state2(s81, c_n2)) | m_main_v_turn(s82, c_1)),
% 4.41/3.30 inference(unit_resolution,[status(thm)],[6865, 992, 6859])).
% 4.41/3.30 tff(6867,plain,
% 4.41/3.30 (m_main_v_turn(s82, c_1)),
% 4.41/3.30 inference(unit_resolution,[status(thm)],[6866, 6848, 6840, 6804])).
% 4.41/3.30 tff(6868,plain,
% 4.41/3.30 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s82, c_1)) | (~m_main_v_turn(s82, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s82, c_1)) | (~m_main_v_turn(s82, c_2)))),
% 4.41/3.30 inference(rewrite,[status(thm)],[])).
% 4.41/3.30 tff(6869,plain,
% 4.41/3.30 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s82, c_1)) | (~m_main_v_turn(s82, c_2)))),
% 4.41/3.30 inference(quant_inst,[status(thm)],[])).
% 4.41/3.30 tff(6870,plain,
% 4.41/3.30 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s82, c_1)) | (~m_main_v_turn(s82, c_2))),
% 4.41/3.30 inference(modus_ponens,[status(thm)],[6869, 6868])).
% 4.41/3.30 tff(6871,plain,
% 4.41/3.30 (~m_main_v_turn(s82, c_2)),
% 4.41/3.30 inference(unit_resolution,[status(thm)],[6870, 156, 6867])).
% 4.41/3.30 tff(6872,plain,
% 4.41/3.30 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s82, c_2) | (~node12(s82)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s82, c_2) | (~node12(s82)))),
% 4.41/3.30 inference(rewrite,[status(thm)],[])).
% 4.41/3.30 tff(6873,plain,
% 4.41/3.30 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s82, c_2) | (~node12(s82)))),
% 4.41/3.30 inference(quant_inst,[status(thm)],[])).
% 4.41/3.30 tff(6874,plain,
% 4.41/3.30 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s82, c_2) | (~node12(s82))),
% 4.41/3.30 inference(modus_ponens,[status(thm)],[6873, 6872])).
% 4.41/3.30 tff(6875,plain,
% 4.41/3.30 (~node12(s82)),
% 4.41/3.30 inference(unit_resolution,[status(thm)],[6874, 184, 6871])).
% 4.41/3.30 tff(6876,plain,
% 4.41/3.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s81, s82)) | node14(s81, s82))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s81, s82)) | node14(s81, s82))),
% 4.41/3.30 inference(rewrite,[status(thm)],[])).
% 4.41/3.30 tff(6877,plain,
% 4.41/3.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s81, s82)) | node14(s81, s82))),
% 4.41/3.30 inference(quant_inst,[status(thm)],[])).
% 4.41/3.30 tff(6878,plain,
% 4.41/3.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s81, s82)) | node14(s81, s82)),
% 4.41/3.30 inference(modus_ponens,[status(thm)],[6877, 6876])).
% 4.41/3.30 tff(6879,plain,
% 4.41/3.30 (node14(s81, s82)),
% 4.41/3.30 inference(unit_resolution,[status(thm)],[6878, 46, 6855])).
% 4.41/3.30 tff(6880,plain,
% 4.41/3.30 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s81, c_t1)) | (~m_main_v_state2(s81, c_n2)) | (~node14(s81, s82)) | m_main_v_state2(s82, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s81, c_t1)) | (~m_main_v_state2(s81, c_n2)) | (~node14(s81, s82)) | m_main_v_state2(s82, c_t2))),
% 4.41/3.30 inference(rewrite,[status(thm)],[])).
% 4.41/3.30 tff(6881,plain,
% 4.41/3.30 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s81, c_t1)) | (~m_main_v_state2(s81, c_n2)) | (~node14(s81, s82)) | m_main_v_state2(s82, c_t2))),
% 4.41/3.30 inference(quant_inst,[status(thm)],[])).
% 4.41/3.30 tff(6882,plain,
% 4.41/3.30 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s81, c_t1)) | (~m_main_v_state2(s81, c_n2)) | (~node14(s81, s82)) | m_main_v_state2(s82, c_t2)),
% 4.41/3.30 inference(modus_ponens,[status(thm)],[6881, 6880])).
% 4.41/3.30 tff(6883,plain,
% 4.41/3.30 ((~m_main_v_state1(s81, c_t1)) | (~m_main_v_state2(s81, c_n2)) | m_main_v_state2(s82, c_t2)),
% 4.41/3.30 inference(unit_resolution,[status(thm)],[6882, 922, 6879])).
% 4.41/3.30 tff(6884,plain,
% 4.41/3.30 (m_main_v_state2(s82, c_t2)),
% 4.41/3.30 inference(unit_resolution,[status(thm)],[6883, 6804, 6840])).
% 4.41/3.30 tff(6885,plain,
% 4.41/3.30 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s82, c_n2)) | (~m_main_v_state2(s82, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s82, c_n2)) | (~m_main_v_state2(s82, c_t2)))),
% 4.41/3.30 inference(rewrite,[status(thm)],[])).
% 4.41/3.30 tff(6886,plain,
% 4.41/3.30 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s82, c_n2)) | (~m_main_v_state2(s82, c_t2)))),
% 4.41/3.30 inference(quant_inst,[status(thm)],[])).
% 4.41/3.30 tff(6887,plain,
% 4.41/3.30 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s82, c_n2)) | (~m_main_v_state2(s82, c_t2))),
% 4.41/3.30 inference(modus_ponens,[status(thm)],[6886, 6885])).
% 4.41/3.30 tff(6888,plain,
% 4.41/3.30 (~m_main_v_state2(s82, c_n2)),
% 4.41/3.30 inference(unit_resolution,[status(thm)],[6887, 77, 6884])).
% 4.41/3.30 tff(6889,plain,
% 4.41/3.30 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s82, c_n2) | (~node8(s82)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s82, c_n2) | (~node8(s82)))),
% 4.41/3.30 inference(rewrite,[status(thm)],[])).
% 4.41/3.30 tff(6890,plain,
% 4.41/3.30 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s82, c_n2) | (~node8(s82)))),
% 4.41/3.30 inference(quant_inst,[status(thm)],[])).
% 4.41/3.30 tff(6891,plain,
% 4.41/3.30 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s82, c_n2) | (~node8(s82))),
% 4.41/3.30 inference(modus_ponens,[status(thm)],[6890, 6889])).
% 4.41/3.30 tff(6892,plain,
% 4.41/3.30 (~node8(s82)),
% 4.41/3.30 inference(unit_resolution,[status(thm)],[6891, 271, 6888])).
% 4.41/3.30 tff(6893,plain,
% 4.41/3.30 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s82, c_n2) | (~node9(s82)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s82, c_n2) | (~node9(s82)))),
% 4.41/3.30 inference(rewrite,[status(thm)],[])).
% 4.41/3.30 tff(6894,plain,
% 4.41/3.30 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s82, c_n2) | (~node9(s82)))),
% 4.41/3.30 inference(quant_inst,[status(thm)],[])).
% 4.41/3.30 tff(6895,plain,
% 4.41/3.30 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s82, c_n2) | (~node9(s82))),
% 4.41/3.30 inference(modus_ponens,[status(thm)],[6894, 6893])).
% 4.41/3.30 tff(6896,plain,
% 4.41/3.30 (~node9(s82)),
% 4.41/3.30 inference(unit_resolution,[status(thm)],[6895, 88, 6888])).
% 4.41/3.30 tff(6897,plain,
% 4.41/3.30 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s82, c_n2) | (~node10(s82)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s82, c_n2) | (~node10(s82)))),
% 4.41/3.30 inference(rewrite,[status(thm)],[])).
% 4.41/3.30 tff(6898,plain,
% 4.41/3.30 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s82, c_n2) | (~node10(s82)))),
% 4.41/3.30 inference(quant_inst,[status(thm)],[])).
% 4.41/3.30 tff(6899,plain,
% 4.41/3.30 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s82, c_n2) | (~node10(s82))),
% 4.41/3.30 inference(modus_ponens,[status(thm)],[6898, 6897])).
% 4.41/3.30 tff(6900,plain,
% 4.41/3.30 (~node10(s82)),
% 4.41/3.30 inference(unit_resolution,[status(thm)],[6899, 249, 6888])).
% 4.41/3.30 tff(6901,plain,
% 4.41/3.30 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s82, c_t2)) | (~m_main_v_state2(s82, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s82, c_t2)) | (~m_main_v_state2(s82, c_c2)))),
% 4.41/3.30 inference(rewrite,[status(thm)],[])).
% 4.41/3.30 tff(6902,plain,
% 4.41/3.30 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s82, c_t2)) | (~m_main_v_state2(s82, c_c2)))),
% 4.41/3.30 inference(quant_inst,[status(thm)],[])).
% 4.41/3.30 tff(6903,plain,
% 4.41/3.30 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s82, c_t2)) | (~m_main_v_state2(s82, c_c2))),
% 4.41/3.30 inference(modus_ponens,[status(thm)],[6902, 6901])).
% 4.41/3.30 tff(6904,plain,
% 4.41/3.30 (~m_main_v_state2(s82, c_c2)),
% 4.41/3.30 inference(unit_resolution,[status(thm)],[6903, 260, 6884])).
% 4.41/3.30 tff(6905,plain,
% 4.41/3.30 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s81, c_n2)) | (~m_main_v_state2(s81, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s81, c_n2)) | (~m_main_v_state2(s81, c_c2)))),
% 4.41/3.30 inference(rewrite,[status(thm)],[])).
% 4.41/3.30 tff(6906,plain,
% 4.41/3.30 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s81, c_n2)) | (~m_main_v_state2(s81, c_c2)))),
% 4.41/3.30 inference(quant_inst,[status(thm)],[])).
% 4.41/3.30 tff(6907,plain,
% 4.41/3.30 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s81, c_n2)) | (~m_main_v_state2(s81, c_c2))),
% 4.41/3.30 inference(modus_ponens,[status(thm)],[6906, 6905])).
% 4.41/3.30 tff(6908,plain,
% 4.41/3.30 (~m_main_v_state2(s81, c_c2)),
% 4.41/3.30 inference(unit_resolution,[status(thm)],[6907, 697, 6840])).
% 4.41/3.30 tff(6909,plain,
% 4.41/3.30 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s81, c_c2) | (~node3(s81)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s81, c_c2) | (~node3(s81)))),
% 4.41/3.30 inference(rewrite,[status(thm)],[])).
% 4.41/3.30 tff(6910,plain,
% 4.41/3.30 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s81, c_c2) | (~node3(s81)))),
% 4.41/3.30 inference(quant_inst,[status(thm)],[])).
% 4.41/3.30 tff(6911,plain,
% 4.41/3.30 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s81, c_c2) | (~node3(s81))),
% 4.41/3.30 inference(modus_ponens,[status(thm)],[6910, 6909])).
% 4.41/3.30 tff(6912,plain,
% 4.41/3.30 (~node3(s81)),
% 4.41/3.30 inference(unit_resolution,[status(thm)],[6911, 399, 6908])).
% 4.41/3.30 tff(6913,plain,
% 4.41/3.30 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s80, c_n1) | (~m_main_v_state1(s81, c_n1)) | (~node6(s80, s81)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s80, c_n1) | (~m_main_v_state1(s81, c_n1)) | (~node6(s80, s81)))),
% 4.41/3.30 inference(rewrite,[status(thm)],[])).
% 4.41/3.30 tff(6914,plain,
% 4.41/3.30 (((~node6(s80, s81)) | m_main_v_state1(s80, c_n1) | (~m_main_v_state1(s81, c_n1))) <=> (m_main_v_state1(s80, c_n1) | (~m_main_v_state1(s81, c_n1)) | (~node6(s80, s81)))),
% 4.41/3.30 inference(rewrite,[status(thm)],[])).
% 4.41/3.30 tff(6915,plain,
% 4.41/3.30 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s80, s81)) | m_main_v_state1(s80, c_n1) | (~m_main_v_state1(s81, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s80, c_n1) | (~m_main_v_state1(s81, c_n1)) | (~node6(s80, s81))))),
% 4.41/3.30 inference(monotonicity,[status(thm)],[6914])).
% 4.41/3.30 tff(6916,plain,
% 4.41/3.30 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s80, s81)) | m_main_v_state1(s80, c_n1) | (~m_main_v_state1(s81, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s80, c_n1) | (~m_main_v_state1(s81, c_n1)) | (~node6(s80, s81)))),
% 4.41/3.30 inference(transitivity,[status(thm)],[6915, 6913])).
% 4.41/3.30 tff(6917,plain,
% 4.41/3.30 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s80, s81)) | m_main_v_state1(s80, c_n1) | (~m_main_v_state1(s81, c_n1)))),
% 4.41/3.30 inference(quant_inst,[status(thm)],[])).
% 4.41/3.30 tff(6918,plain,
% 4.41/3.30 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s80, c_n1) | (~m_main_v_state1(s81, c_n1)) | (~node6(s80, s81))),
% 4.41/3.30 inference(modus_ponens,[status(thm)],[6917, 6916])).
% 4.41/3.30 tff(6919,plain,
% 4.41/3.30 (~m_main_v_state1(s81, c_n1)),
% 4.41/3.30 inference(unit_resolution,[status(thm)],[6918, 835, 6712, 6797])).
% 4.41/3.30 tff(6920,plain,
% 4.41/3.30 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s81, c_n1) | (~node2(s81)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s81, c_n1) | (~node2(s81)))),
% 4.41/3.30 inference(rewrite,[status(thm)],[])).
% 4.41/3.30 tff(6921,plain,
% 4.41/3.30 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s81, c_n1) | (~node2(s81)))),
% 4.41/3.30 inference(quant_inst,[status(thm)],[])).
% 4.41/3.30 tff(6922,plain,
% 4.41/3.30 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s81, c_n1) | (~node2(s81))),
% 4.41/3.30 inference(modus_ponens,[status(thm)],[6921, 6920])).
% 4.41/3.30 tff(6923,plain,
% 4.41/3.30 (~node2(s81)),
% 4.41/3.30 inference(unit_resolution,[status(thm)],[6922, 787, 6919])).
% 4.41/3.30 tff(6924,plain,
% 4.41/3.30 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s81, c_t2) | (~node1(s81)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s81, c_t2) | (~node1(s81)))),
% 4.41/3.30 inference(rewrite,[status(thm)],[])).
% 4.41/3.30 tff(6925,plain,
% 4.41/3.30 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s81, c_t2) | (~node1(s81)))),
% 4.41/3.30 inference(quant_inst,[status(thm)],[])).
% 4.41/3.30 tff(6926,plain,
% 4.41/3.30 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s81, c_t2) | (~node1(s81))),
% 4.41/3.30 inference(modus_ponens,[status(thm)],[6925, 6924])).
% 4.41/3.30 tff(6927,plain,
% 4.41/3.30 (~node1(s81)),
% 4.41/3.30 inference(unit_resolution,[status(thm)],[6926, 195, 6844])).
% 4.41/3.30 tff(6928,plain,
% 4.41/3.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s81, s82)) | node7(s81, s82))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s81, s82)) | node7(s81, s82))),
% 4.41/3.30 inference(rewrite,[status(thm)],[])).
% 4.41/3.30 tff(6929,plain,
% 4.41/3.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s81, s82)) | node7(s81, s82))),
% 4.41/3.30 inference(quant_inst,[status(thm)],[])).
% 4.41/3.30 tff(6930,plain,
% 4.41/3.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s81, s82)) | node7(s81, s82)),
% 4.41/3.30 inference(modus_ponens,[status(thm)],[6929, 6928])).
% 4.41/3.30 tff(6931,plain,
% 4.41/3.30 (node7(s81, s82)),
% 4.41/3.30 inference(unit_resolution,[status(thm)],[6930, 206, 6855])).
% 4.41/3.30 tff(6932,plain,
% 4.41/3.30 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s81, c_t1)) | (~m_main_v_state2(s81, c_n2)) | m_main_v_state1(s82, c_c1) | node1(s81) | node2(s81) | node3(s81) | (~node7(s81, s82)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s81, c_t1)) | (~m_main_v_state2(s81, c_n2)) | m_main_v_state1(s82, c_c1) | node1(s81) | node2(s81) | node3(s81) | (~node7(s81, s82)))),
% 4.41/3.30 inference(rewrite,[status(thm)],[])).
% 4.41/3.31 tff(6933,plain,
% 4.41/3.31 (((~m_main_v_state1(s81, c_t1)) | (~m_main_v_state2(s81, c_n2)) | node1(s81) | node2(s81) | node3(s81) | (~node7(s81, s82)) | m_main_v_state1(s82, c_c1)) <=> ((~m_main_v_state1(s81, c_t1)) | (~m_main_v_state2(s81, c_n2)) | m_main_v_state1(s82, c_c1) | node1(s81) | node2(s81) | node3(s81) | (~node7(s81, s82)))),
% 4.41/3.31 inference(rewrite,[status(thm)],[])).
% 4.41/3.31 tff(6934,plain,
% 4.41/3.31 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s81, c_t1)) | (~m_main_v_state2(s81, c_n2)) | node1(s81) | node2(s81) | node3(s81) | (~node7(s81, s82)) | m_main_v_state1(s82, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s81, c_t1)) | (~m_main_v_state2(s81, c_n2)) | m_main_v_state1(s82, c_c1) | node1(s81) | node2(s81) | node3(s81) | (~node7(s81, s82))))),
% 4.41/3.31 inference(monotonicity,[status(thm)],[6933])).
% 4.41/3.31 tff(6935,plain,
% 4.41/3.31 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s81, c_t1)) | (~m_main_v_state2(s81, c_n2)) | node1(s81) | node2(s81) | node3(s81) | (~node7(s81, s82)) | m_main_v_state1(s82, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s81, c_t1)) | (~m_main_v_state2(s81, c_n2)) | m_main_v_state1(s82, c_c1) | node1(s81) | node2(s81) | node3(s81) | (~node7(s81, s82)))),
% 4.41/3.31 inference(transitivity,[status(thm)],[6934, 6932])).
% 4.41/3.31 tff(6936,plain,
% 4.41/3.31 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s81, c_t1)) | (~m_main_v_state2(s81, c_n2)) | node1(s81) | node2(s81) | node3(s81) | (~node7(s81, s82)) | m_main_v_state1(s82, c_c1))),
% 4.41/3.31 inference(quant_inst,[status(thm)],[])).
% 4.41/3.31 tff(6937,plain,
% 4.41/3.31 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s81, c_t1)) | (~m_main_v_state2(s81, c_n2)) | m_main_v_state1(s82, c_c1) | node1(s81) | node2(s81) | node3(s81) | (~node7(s81, s82))),
% 4.41/3.31 inference(modus_ponens,[status(thm)],[6936, 6935])).
% 4.41/3.31 tff(6938,plain,
% 4.41/3.31 ((~m_main_v_state1(s81, c_t1)) | (~m_main_v_state2(s81, c_n2)) | m_main_v_state1(s82, c_c1) | node1(s81) | node2(s81) | node3(s81)),
% 4.41/3.31 inference(unit_resolution,[status(thm)],[6937, 892, 6931])).
% 4.41/3.31 tff(6939,plain,
% 4.41/3.31 (m_main_v_state1(s82, c_c1)),
% 4.41/3.31 inference(unit_resolution,[status(thm)],[6938, 6927, 6840, 6804, 6923, 6912])).
% 4.41/3.31 tff(6940,plain,
% 4.41/3.31 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s82, c_n1)) | (~m_main_v_state1(s82, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s82, c_n1)) | (~m_main_v_state1(s82, c_c1)))),
% 4.41/3.31 inference(rewrite,[status(thm)],[])).
% 4.41/3.31 tff(6941,plain,
% 4.41/3.31 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s82, c_n1)) | (~m_main_v_state1(s82, c_c1)))),
% 4.41/3.31 inference(quant_inst,[status(thm)],[])).
% 4.41/3.31 tff(6942,plain,
% 4.41/3.31 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s82, c_n1)) | (~m_main_v_state1(s82, c_c1))),
% 4.41/3.31 inference(modus_ponens,[status(thm)],[6941, 6940])).
% 4.41/3.31 tff(6943,plain,
% 4.41/3.31 (~m_main_v_state1(s82, c_n1)),
% 4.41/3.31 inference(unit_resolution,[status(thm)],[6942, 454, 6939])).
% 4.41/3.31 tff(6944,plain,
% 4.41/3.31 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s82, c_n1) | (~node11(s82)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s82, c_n1) | (~node11(s82)))),
% 4.41/3.31 inference(rewrite,[status(thm)],[])).
% 4.41/3.31 tff(6945,plain,
% 4.41/3.31 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s82, c_n1) | (~node11(s82)))),
% 4.41/3.31 inference(quant_inst,[status(thm)],[])).
% 4.41/3.31 tff(6946,plain,
% 4.41/3.31 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s82, c_n1) | (~node11(s82))),
% 4.41/3.31 inference(modus_ponens,[status(thm)],[6945, 6944])).
% 4.41/3.31 tff(6947,plain,
% 4.41/3.31 (~node11(s82)),
% 4.41/3.31 inference(unit_resolution,[status(thm)],[6946, 238, 6943])).
% 4.41/3.31 tff(6948,plain,
% 4.41/3.31 (succ(s82, s83) <=> succ(s82, s83)),
% 4.41/3.31 inference(rewrite,[status(thm)],[])).
% 4.41/3.31 tff(6949,axiom,(succ(s82, s83)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound83')).
% 4.41/3.31 tff(6950,plain,
% 4.41/3.31 (succ(s82, s83)),
% 4.41/3.31 inference(modus_ponens,[status(thm)],[6949, 6948])).
% 4.41/3.31 tff(6951,plain,
% 4.41/3.31 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s82, s83)) | trans(s82, s83))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s82, s83)) | trans(s82, s83))),
% 4.41/3.31 inference(rewrite,[status(thm)],[])).
% 4.41/3.31 tff(6952,plain,
% 4.41/3.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s82, s83)) | trans(s82, s83))),
% 4.41/3.31 inference(quant_inst,[status(thm)],[])).
% 4.41/3.31 tff(6953,plain,
% 4.41/3.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s82, s83)) | trans(s82, s83)),
% 4.41/3.31 inference(modus_ponens,[status(thm)],[6952, 6951])).
% 4.41/3.31 tff(6954,plain,
% 4.41/3.31 (trans(s82, s83)),
% 4.41/3.31 inference(unit_resolution,[status(thm)],[6953, 6950, 32])).
% 4.41/3.31 tff(6955,plain,
% 4.41/3.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s82, s83)) | node14(s82, s83))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s82, s83)) | node14(s82, s83))),
% 4.41/3.31 inference(rewrite,[status(thm)],[])).
% 4.41/3.31 tff(6956,plain,
% 4.41/3.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s82, s83)) | node14(s82, s83))),
% 4.41/3.31 inference(quant_inst,[status(thm)],[])).
% 4.41/3.31 tff(6957,plain,
% 4.41/3.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s82, s83)) | node14(s82, s83)),
% 4.41/3.31 inference(modus_ponens,[status(thm)],[6956, 6955])).
% 4.41/3.31 tff(6958,plain,
% 4.41/3.31 (node14(s82, s83)),
% 4.41/3.31 inference(unit_resolution,[status(thm)],[6957, 46, 6954])).
% 4.41/3.31 tff(6959,plain,
% 4.41/3.31 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s82, c_c2) | node9(s82) | node8(s82) | node10(s82) | node11(s82) | node12(s82) | node13(s82, s83) | (~node14(s82, s83)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s82, c_c2) | node9(s82) | node8(s82) | node10(s82) | node11(s82) | node12(s82) | node13(s82, s83) | (~node14(s82, s83)))),
% 4.41/3.31 inference(rewrite,[status(thm)],[])).
% 4.41/3.31 tff(6960,plain,
% 4.41/3.31 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s82, c_c2) | node9(s82) | node8(s82) | node10(s82) | node11(s82) | node12(s82) | node13(s82, s83) | (~node14(s82, s83)))),
% 4.41/3.31 inference(quant_inst,[status(thm)],[])).
% 4.41/3.31 tff(6961,plain,
% 4.41/3.31 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s82, c_c2) | node9(s82) | node8(s82) | node10(s82) | node11(s82) | node12(s82) | node13(s82, s83) | (~node14(s82, s83))),
% 4.41/3.31 inference(modus_ponens,[status(thm)],[6960, 6959])).
% 4.41/3.31 tff(6962,plain,
% 4.41/3.31 (m_main_v_state2(s82, c_c2) | node9(s82) | node8(s82) | node10(s82) | node11(s82) | node12(s82) | node13(s82, s83)),
% 4.41/3.31 inference(unit_resolution,[status(thm)],[6961, 296, 6958])).
% 4.41/3.31 tff(6963,plain,
% 4.41/3.31 (node13(s82, s83)),
% 4.41/3.31 inference(unit_resolution,[status(thm)],[6962, 6947, 6904, 6900, 6896, 6892, 6875])).
% 4.41/3.31 tff(6964,plain,
% 4.41/3.31 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s82, c_n2) | (~m_main_v_state2(s83, c_n2)) | (~node13(s82, s83)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s82, c_n2) | (~m_main_v_state2(s83, c_n2)) | (~node13(s82, s83)))),
% 4.41/3.31 inference(rewrite,[status(thm)],[])).
% 4.41/3.31 tff(6965,plain,
% 4.41/3.31 (((~node13(s82, s83)) | m_main_v_state2(s82, c_n2) | (~m_main_v_state2(s83, c_n2))) <=> (m_main_v_state2(s82, c_n2) | (~m_main_v_state2(s83, c_n2)) | (~node13(s82, s83)))),
% 4.41/3.31 inference(rewrite,[status(thm)],[])).
% 4.41/3.31 tff(6966,plain,
% 4.41/3.31 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s82, s83)) | m_main_v_state2(s82, c_n2) | (~m_main_v_state2(s83, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s82, c_n2) | (~m_main_v_state2(s83, c_n2)) | (~node13(s82, s83))))),
% 4.41/3.31 inference(monotonicity,[status(thm)],[6965])).
% 4.41/3.31 tff(6967,plain,
% 4.41/3.31 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s82, s83)) | m_main_v_state2(s82, c_n2) | (~m_main_v_state2(s83, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s82, c_n2) | (~m_main_v_state2(s83, c_n2)) | (~node13(s82, s83)))),
% 4.41/3.31 inference(transitivity,[status(thm)],[6966, 6964])).
% 4.41/3.31 tff(6968,plain,
% 4.41/3.31 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s82, s83)) | m_main_v_state2(s82, c_n2) | (~m_main_v_state2(s83, c_n2)))),
% 4.41/3.31 inference(quant_inst,[status(thm)],[])).
% 4.41/3.31 tff(6969,plain,
% 4.41/3.31 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s82, c_n2) | (~m_main_v_state2(s83, c_n2)) | (~node13(s82, s83))),
% 4.41/3.31 inference(modus_ponens,[status(thm)],[6968, 6967])).
% 4.41/3.31 tff(6970,plain,
% 4.41/3.31 (~m_main_v_state2(s83, c_n2)),
% 4.41/3.31 inference(unit_resolution,[status(thm)],[6969, 311, 6888, 6963])).
% 4.41/3.31 tff(6971,plain,
% 4.41/3.31 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s83, c_n2) | (~node9(s83)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s83, c_n2) | (~node9(s83)))),
% 4.41/3.31 inference(rewrite,[status(thm)],[])).
% 4.41/3.31 tff(6972,plain,
% 4.41/3.31 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s83, c_n2) | (~node9(s83)))),
% 4.41/3.31 inference(quant_inst,[status(thm)],[])).
% 4.41/3.31 tff(6973,plain,
% 4.41/3.31 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s83, c_n2) | (~node9(s83))),
% 4.41/3.31 inference(modus_ponens,[status(thm)],[6972, 6971])).
% 4.41/3.31 tff(6974,plain,
% 4.41/3.31 (~node9(s83)),
% 4.41/3.31 inference(unit_resolution,[status(thm)],[6973, 88, 6970])).
% 4.41/3.31 tff(6975,plain,
% 4.41/3.31 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s83, c_n2) | (~node10(s83)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s83, c_n2) | (~node10(s83)))),
% 4.41/3.31 inference(rewrite,[status(thm)],[])).
% 4.41/3.31 tff(6976,plain,
% 4.41/3.31 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s83, c_n2) | (~node10(s83)))),
% 4.41/3.31 inference(quant_inst,[status(thm)],[])).
% 4.41/3.31 tff(6977,plain,
% 4.41/3.31 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s83, c_n2) | (~node10(s83))),
% 4.41/3.31 inference(modus_ponens,[status(thm)],[6976, 6975])).
% 4.41/3.31 tff(6978,plain,
% 4.41/3.31 (~node10(s83)),
% 4.41/3.31 inference(unit_resolution,[status(thm)],[6977, 249, 6970])).
% 4.41/3.31 tff(6979,plain,
% 4.41/3.31 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s82, c_t2)) | m_main_v_state2(s83, c_t2) | (~node13(s82, s83)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s82, c_t2)) | m_main_v_state2(s83, c_t2) | (~node13(s82, s83)))),
% 4.41/3.31 inference(rewrite,[status(thm)],[])).
% 4.41/3.31 tff(6980,plain,
% 4.41/3.31 (((~node13(s82, s83)) | (~m_main_v_state2(s82, c_t2)) | m_main_v_state2(s83, c_t2)) <=> ((~m_main_v_state2(s82, c_t2)) | m_main_v_state2(s83, c_t2) | (~node13(s82, s83)))),
% 4.41/3.31 inference(rewrite,[status(thm)],[])).
% 4.41/3.31 tff(6981,plain,
% 4.41/3.31 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s82, s83)) | (~m_main_v_state2(s82, c_t2)) | m_main_v_state2(s83, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s82, c_t2)) | m_main_v_state2(s83, c_t2) | (~node13(s82, s83))))),
% 4.41/3.31 inference(monotonicity,[status(thm)],[6980])).
% 4.41/3.31 tff(6982,plain,
% 4.41/3.31 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s82, s83)) | (~m_main_v_state2(s82, c_t2)) | m_main_v_state2(s83, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s82, c_t2)) | m_main_v_state2(s83, c_t2) | (~node13(s82, s83)))),
% 4.41/3.31 inference(transitivity,[status(thm)],[6981, 6979])).
% 4.41/3.31 tff(6983,plain,
% 4.41/3.31 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s82, s83)) | (~m_main_v_state2(s82, c_t2)) | m_main_v_state2(s83, c_t2))),
% 4.41/3.31 inference(quant_inst,[status(thm)],[])).
% 4.41/3.31 tff(6984,plain,
% 4.41/3.31 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s82, c_t2)) | m_main_v_state2(s83, c_t2) | (~node13(s82, s83))),
% 4.41/3.31 inference(modus_ponens,[status(thm)],[6983, 6982])).
% 4.41/3.31 tff(6985,plain,
% 4.41/3.31 (m_main_v_state2(s83, c_t2)),
% 4.41/3.31 inference(unit_resolution,[status(thm)],[6984, 518, 6884, 6963])).
% 4.41/3.31 tff(6986,plain,
% 4.41/3.31 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s82, c_t1)) | (~m_main_v_state1(s82, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s82, c_t1)) | (~m_main_v_state1(s82, c_c1)))),
% 4.41/3.31 inference(rewrite,[status(thm)],[])).
% 4.41/3.31 tff(6987,plain,
% 4.41/3.31 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s82, c_t1)) | (~m_main_v_state1(s82, c_c1)))),
% 4.41/3.31 inference(quant_inst,[status(thm)],[])).
% 4.41/3.31 tff(6988,plain,
% 4.41/3.31 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s82, c_t1)) | (~m_main_v_state1(s82, c_c1))),
% 4.41/3.31 inference(modus_ponens,[status(thm)],[6987, 6986])).
% 4.41/3.31 tff(6989,plain,
% 4.41/3.31 (~m_main_v_state1(s82, c_t1)),
% 4.41/3.31 inference(unit_resolution,[status(thm)],[6988, 539, 6939])).
% 4.41/3.31 tff(6990,plain,
% 4.41/3.31 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s82, c_t1) | (~node5(s82)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s82, c_t1) | (~node5(s82)))),
% 4.41/3.31 inference(rewrite,[status(thm)],[])).
% 4.41/3.31 tff(6991,plain,
% 4.41/3.31 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s82, c_t1) | (~node5(s82)))),
% 4.41/3.31 inference(quant_inst,[status(thm)],[])).
% 4.41/3.31 tff(6992,plain,
% 4.41/3.31 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s82, c_t1) | (~node5(s82))),
% 4.41/3.31 inference(modus_ponens,[status(thm)],[6991, 6990])).
% 4.41/3.31 tff(6993,plain,
% 4.41/3.31 (~node5(s82)),
% 4.41/3.31 inference(unit_resolution,[status(thm)],[6992, 550, 6989])).
% 4.41/3.31 tff(6994,plain,
% 4.41/3.31 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s82, c_n2) | (~node4(s82)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s82, c_n2) | (~node4(s82)))),
% 4.41/3.31 inference(rewrite,[status(thm)],[])).
% 4.41/3.31 tff(6995,plain,
% 4.41/3.31 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s82, c_n2) | (~node4(s82)))),
% 4.41/3.31 inference(quant_inst,[status(thm)],[])).
% 4.41/3.31 tff(6996,plain,
% 4.41/3.31 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s82, c_n2) | (~node4(s82))),
% 4.41/3.31 inference(modus_ponens,[status(thm)],[6995, 6994])).
% 4.41/3.31 tff(6997,plain,
% 4.41/3.31 (~node4(s82)),
% 4.41/3.31 inference(unit_resolution,[status(thm)],[6996, 388, 6888])).
% 4.41/3.31 tff(6998,plain,
% 4.41/3.31 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s82, c_c2) | (~node3(s82)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s82, c_c2) | (~node3(s82)))),
% 4.41/3.31 inference(rewrite,[status(thm)],[])).
% 4.41/3.31 tff(6999,plain,
% 4.41/3.31 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s82, c_c2) | (~node3(s82)))),
% 4.41/3.31 inference(quant_inst,[status(thm)],[])).
% 4.41/3.31 tff(7000,plain,
% 4.41/3.31 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s82, c_c2) | (~node3(s82))),
% 4.41/3.31 inference(modus_ponens,[status(thm)],[6999, 6998])).
% 4.41/3.31 tff(7001,plain,
% 4.41/3.31 (~node3(s82)),
% 4.41/3.31 inference(unit_resolution,[status(thm)],[7000, 399, 6904])).
% 4.41/3.31 tff(7002,plain,
% 4.41/3.31 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s82, c_n2) | (~node2(s82)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s82, c_n2) | (~node2(s82)))),
% 4.41/3.31 inference(rewrite,[status(thm)],[])).
% 4.41/3.31 tff(7003,plain,
% 4.41/3.31 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s82, c_n2) | (~node2(s82)))),
% 4.41/3.31 inference(quant_inst,[status(thm)],[])).
% 4.41/3.31 tff(7004,plain,
% 4.41/3.31 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s82, c_n2) | (~node2(s82))),
% 4.41/3.31 inference(modus_ponens,[status(thm)],[7003, 7002])).
% 4.41/3.31 tff(7005,plain,
% 4.41/3.31 (~node2(s82)),
% 4.41/3.31 inference(unit_resolution,[status(thm)],[7004, 410, 6888])).
% 4.41/3.31 tff(7006,plain,
% 4.41/3.31 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s82, c_n1) | (~node1(s82)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s82, c_n1) | (~node1(s82)))),
% 4.41/3.31 inference(rewrite,[status(thm)],[])).
% 4.41/3.31 tff(7007,plain,
% 4.41/3.31 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s82, c_n1) | (~node1(s82)))),
% 4.41/3.31 inference(quant_inst,[status(thm)],[])).
% 4.41/3.31 tff(7008,plain,
% 4.41/3.31 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s82, c_n1) | (~node1(s82))),
% 4.41/3.31 inference(modus_ponens,[status(thm)],[7007, 7006])).
% 4.41/3.31 tff(7009,plain,
% 4.41/3.31 (~node1(s82)),
% 4.41/3.31 inference(unit_resolution,[status(thm)],[7008, 421, 6943])).
% 4.41/3.31 tff(7010,plain,
% 4.41/3.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s82, s83)) | node7(s82, s83))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s82, s83)) | node7(s82, s83))),
% 4.41/3.31 inference(rewrite,[status(thm)],[])).
% 4.41/3.31 tff(7011,plain,
% 4.41/3.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s82, s83)) | node7(s82, s83))),
% 4.41/3.31 inference(quant_inst,[status(thm)],[])).
% 4.41/3.31 tff(7012,plain,
% 4.41/3.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s82, s83)) | node7(s82, s83)),
% 4.41/3.31 inference(modus_ponens,[status(thm)],[7011, 7010])).
% 4.41/3.31 tff(7013,plain,
% 4.41/3.31 (node7(s82, s83)),
% 4.41/3.31 inference(unit_resolution,[status(thm)],[7012, 206, 6954])).
% 4.41/3.31 tff(7014,plain,
% 4.41/3.31 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s83, c_n1) | (~m_main_v_state1(s82, c_c1)) | node1(s82) | node2(s82) | node3(s82) | node4(s82) | node5(s82) | (~node7(s82, s83)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s83, c_n1) | (~m_main_v_state1(s82, c_c1)) | node1(s82) | node2(s82) | node3(s82) | node4(s82) | node5(s82) | (~node7(s82, s83)))),
% 4.41/3.31 inference(rewrite,[status(thm)],[])).
% 4.41/3.31 tff(7015,plain,
% 4.41/3.31 (((~m_main_v_state1(s82, c_c1)) | node1(s82) | node2(s82) | node3(s82) | node4(s82) | node5(s82) | (~node7(s82, s83)) | m_main_v_state1(s83, c_n1)) <=> (m_main_v_state1(s83, c_n1) | (~m_main_v_state1(s82, c_c1)) | node1(s82) | node2(s82) | node3(s82) | node4(s82) | node5(s82) | (~node7(s82, s83)))),
% 4.41/3.31 inference(rewrite,[status(thm)],[])).
% 4.41/3.31 tff(7016,plain,
% 4.41/3.31 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s82, c_c1)) | node1(s82) | node2(s82) | node3(s82) | node4(s82) | node5(s82) | (~node7(s82, s83)) | m_main_v_state1(s83, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s83, c_n1) | (~m_main_v_state1(s82, c_c1)) | node1(s82) | node2(s82) | node3(s82) | node4(s82) | node5(s82) | (~node7(s82, s83))))),
% 4.41/3.31 inference(monotonicity,[status(thm)],[7015])).
% 4.41/3.31 tff(7017,plain,
% 4.41/3.31 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s82, c_c1)) | node1(s82) | node2(s82) | node3(s82) | node4(s82) | node5(s82) | (~node7(s82, s83)) | m_main_v_state1(s83, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s83, c_n1) | (~m_main_v_state1(s82, c_c1)) | node1(s82) | node2(s82) | node3(s82) | node4(s82) | node5(s82) | (~node7(s82, s83)))),
% 4.41/3.31 inference(transitivity,[status(thm)],[7016, 7014])).
% 4.41/3.31 tff(7018,plain,
% 4.41/3.31 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s82, c_c1)) | node1(s82) | node2(s82) | node3(s82) | node4(s82) | node5(s82) | (~node7(s82, s83)) | m_main_v_state1(s83, c_n1))),
% 4.41/3.31 inference(quant_inst,[status(thm)],[])).
% 4.41/3.31 tff(7019,plain,
% 4.41/3.31 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s83, c_n1) | (~m_main_v_state1(s82, c_c1)) | node1(s82) | node2(s82) | node3(s82) | node4(s82) | node5(s82) | (~node7(s82, s83))),
% 4.41/3.31 inference(modus_ponens,[status(thm)],[7018, 7017])).
% 4.41/3.31 tff(7020,plain,
% 4.41/3.31 (m_main_v_state1(s83, c_n1) | (~m_main_v_state1(s82, c_c1)) | node1(s82) | node2(s82) | node3(s82) | node4(s82) | node5(s82)),
% 4.41/3.31 inference(unit_resolution,[status(thm)],[7019, 584, 7013])).
% 4.41/3.31 tff(7021,plain,
% 4.41/3.31 (m_main_v_state1(s83, c_n1)),
% 4.41/3.31 inference(unit_resolution,[status(thm)],[7020, 7009, 6939, 7005, 7001, 6997, 6993])).
% 4.41/3.31 tff(7022,plain,
% 4.41/3.31 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s83, c_n2) | (~node8(s83)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s83, c_n2) | (~node8(s83)))),
% 4.41/3.31 inference(rewrite,[status(thm)],[])).
% 4.41/3.31 tff(7023,plain,
% 4.41/3.31 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s83, c_n2) | (~node8(s83)))),
% 4.41/3.31 inference(quant_inst,[status(thm)],[])).
% 4.41/3.31 tff(7024,plain,
% 4.41/3.31 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s83, c_n2) | (~node8(s83))),
% 4.41/3.31 inference(modus_ponens,[status(thm)],[7023, 7022])).
% 4.41/3.31 tff(7025,plain,
% 4.41/3.31 (~node8(s83)),
% 4.41/3.31 inference(unit_resolution,[status(thm)],[7024, 271, 6970])).
% 4.41/3.31 tff(7026,plain,
% 4.41/3.31 (succ(s83, s84) <=> succ(s83, s84)),
% 4.41/3.31 inference(rewrite,[status(thm)],[])).
% 4.41/3.31 tff(7027,axiom,(succ(s83, s84)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound84')).
% 4.41/3.31 tff(7028,plain,
% 4.41/3.31 (succ(s83, s84)),
% 4.41/3.31 inference(modus_ponens,[status(thm)],[7027, 7026])).
% 4.41/3.31 tff(7029,plain,
% 4.41/3.31 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s83, s84)) | trans(s83, s84))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s83, s84)) | trans(s83, s84))),
% 4.41/3.31 inference(rewrite,[status(thm)],[])).
% 4.41/3.31 tff(7030,plain,
% 4.41/3.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s83, s84)) | trans(s83, s84))),
% 4.41/3.31 inference(quant_inst,[status(thm)],[])).
% 4.41/3.31 tff(7031,plain,
% 4.41/3.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s83, s84)) | trans(s83, s84)),
% 4.41/3.31 inference(modus_ponens,[status(thm)],[7030, 7029])).
% 4.41/3.31 tff(7032,plain,
% 4.41/3.31 (trans(s83, s84)),
% 4.41/3.31 inference(unit_resolution,[status(thm)],[7031, 7028, 32])).
% 4.41/3.31 tff(7033,plain,
% 4.41/3.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s83, s84)) | node14(s83, s84))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s83, s84)) | node14(s83, s84))),
% 4.41/3.31 inference(rewrite,[status(thm)],[])).
% 4.41/3.31 tff(7034,plain,
% 4.41/3.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s83, s84)) | node14(s83, s84))),
% 4.41/3.31 inference(quant_inst,[status(thm)],[])).
% 4.41/3.31 tff(7035,plain,
% 4.41/3.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s83, s84)) | node14(s83, s84)),
% 4.41/3.31 inference(modus_ponens,[status(thm)],[7034, 7033])).
% 4.41/3.31 tff(7036,plain,
% 4.41/3.31 (node14(s83, s84)),
% 4.41/3.31 inference(unit_resolution,[status(thm)],[7035, 46, 7032])).
% 4.41/3.31 tff(7037,plain,
% 4.41/3.31 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s83, c_n1)) | (~m_main_v_state2(s83, c_t2)) | node9(s83) | node8(s83) | node10(s83) | (~node14(s83, s84)) | m_main_v_state2(s84, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s83, c_n1)) | (~m_main_v_state2(s83, c_t2)) | node9(s83) | node8(s83) | node10(s83) | (~node14(s83, s84)) | m_main_v_state2(s84, c_c2))),
% 4.41/3.31 inference(rewrite,[status(thm)],[])).
% 4.41/3.31 tff(7038,plain,
% 4.41/3.31 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s83, c_n1)) | (~m_main_v_state2(s83, c_t2)) | node9(s83) | node8(s83) | node10(s83) | (~node14(s83, s84)) | m_main_v_state2(s84, c_c2))),
% 4.41/3.31 inference(quant_inst,[status(thm)],[])).
% 4.41/3.31 tff(7039,plain,
% 4.41/3.31 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s83, c_n1)) | (~m_main_v_state2(s83, c_t2)) | node9(s83) | node8(s83) | node10(s83) | (~node14(s83, s84)) | m_main_v_state2(s84, c_c2)),
% 4.41/3.31 inference(modus_ponens,[status(thm)],[7038, 7037])).
% 4.41/3.31 tff(7040,plain,
% 4.41/3.31 ((~m_main_v_state1(s83, c_n1)) | (~m_main_v_state2(s83, c_t2)) | node9(s83) | node8(s83) | node10(s83) | m_main_v_state2(s84, c_c2)),
% 4.41/3.31 inference(unit_resolution,[status(thm)],[7039, 617, 7036])).
% 4.41/3.31 tff(7041,plain,
% 4.41/3.31 (m_main_v_state2(s84, c_c2)),
% 4.41/3.31 inference(unit_resolution,[status(thm)],[7040, 7025, 7021, 6985, 6978, 6974])).
% 4.41/3.31 tff(7042,plain,
% 4.41/3.31 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s84, c_t2)) | (~m_main_v_state2(s84, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s84, c_t2)) | (~m_main_v_state2(s84, c_c2)))),
% 4.41/3.31 inference(rewrite,[status(thm)],[])).
% 4.41/3.31 tff(7043,plain,
% 4.41/3.31 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s84, c_t2)) | (~m_main_v_state2(s84, c_c2)))),
% 4.41/3.31 inference(quant_inst,[status(thm)],[])).
% 4.41/3.31 tff(7044,plain,
% 4.41/3.31 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s84, c_t2)) | (~m_main_v_state2(s84, c_c2))),
% 4.41/3.31 inference(modus_ponens,[status(thm)],[7043, 7042])).
% 4.41/3.31 tff(7045,plain,
% 4.41/3.31 (~m_main_v_state2(s84, c_t2)),
% 4.41/3.31 inference(unit_resolution,[status(thm)],[7044, 260, 7041])).
% 4.41/3.31 tff(7046,plain,
% 4.41/3.31 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s84, c_t2) | (~node12(s84)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s84, c_t2) | (~node12(s84)))),
% 4.41/3.31 inference(rewrite,[status(thm)],[])).
% 4.41/3.31 tff(7047,plain,
% 4.41/3.31 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s84, c_t2) | (~node12(s84)))),
% 4.41/3.31 inference(quant_inst,[status(thm)],[])).
% 4.41/3.31 tff(7048,plain,
% 4.41/3.31 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s84, c_t2) | (~node12(s84))),
% 4.41/3.31 inference(modus_ponens,[status(thm)],[7047, 7046])).
% 4.41/3.31 tff(7049,plain,
% 4.41/3.31 (~node12(s84)),
% 4.41/3.31 inference(unit_resolution,[status(thm)],[7048, 633, 7045])).
% 4.41/3.31 tff(7050,plain,
% 4.41/3.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s83, s84)) | node7(s83, s84))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s83, s84)) | node7(s83, s84))),
% 4.41/3.31 inference(rewrite,[status(thm)],[])).
% 4.41/3.31 tff(7051,plain,
% 4.41/3.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s83, s84)) | node7(s83, s84))),
% 4.48/3.32 inference(quant_inst,[status(thm)],[])).
% 4.48/3.32 tff(7052,plain,
% 4.48/3.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s83, s84)) | node7(s83, s84)),
% 4.48/3.32 inference(modus_ponens,[status(thm)],[7051, 7050])).
% 4.48/3.32 tff(7053,plain,
% 4.48/3.32 (node7(s83, s84)),
% 4.48/3.32 inference(unit_resolution,[status(thm)],[7052, 206, 7032])).
% 4.48/3.32 tff(7054,plain,
% 4.48/3.32 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s83, c_n1)) | (~m_main_v_state2(s83, c_t2)) | (~node7(s83, s84)) | m_main_v_state1(s84, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s83, c_n1)) | (~m_main_v_state2(s83, c_t2)) | (~node7(s83, s84)) | m_main_v_state1(s84, c_t1))),
% 4.48/3.32 inference(rewrite,[status(thm)],[])).
% 4.48/3.32 tff(7055,plain,
% 4.48/3.32 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s83, c_n1)) | (~m_main_v_state2(s83, c_t2)) | (~node7(s83, s84)) | m_main_v_state1(s84, c_t1))),
% 4.48/3.32 inference(quant_inst,[status(thm)],[])).
% 4.48/3.32 tff(7056,plain,
% 4.48/3.32 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s83, c_n1)) | (~m_main_v_state2(s83, c_t2)) | (~node7(s83, s84)) | m_main_v_state1(s84, c_t1)),
% 4.48/3.32 inference(modus_ponens,[status(thm)],[7055, 7054])).
% 4.48/3.32 tff(7057,plain,
% 4.48/3.32 ((~m_main_v_state1(s83, c_n1)) | (~m_main_v_state2(s83, c_t2)) | m_main_v_state1(s84, c_t1)),
% 4.48/3.32 inference(unit_resolution,[status(thm)],[7056, 651, 7053])).
% 4.48/3.32 tff(7058,plain,
% 4.48/3.32 (m_main_v_state1(s84, c_t1)),
% 4.48/3.32 inference(unit_resolution,[status(thm)],[7057, 6985, 7021])).
% 4.48/3.32 tff(7059,plain,
% 4.48/3.32 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s84, c_n1)) | (~m_main_v_state1(s84, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s84, c_n1)) | (~m_main_v_state1(s84, c_t1)))),
% 4.48/3.32 inference(rewrite,[status(thm)],[])).
% 4.48/3.32 tff(7060,plain,
% 4.48/3.32 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s84, c_n1)) | (~m_main_v_state1(s84, c_t1)))),
% 4.48/3.32 inference(quant_inst,[status(thm)],[])).
% 4.48/3.32 tff(7061,plain,
% 4.48/3.32 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s84, c_n1)) | (~m_main_v_state1(s84, c_t1))),
% 4.48/3.32 inference(modus_ponens,[status(thm)],[7060, 7059])).
% 4.48/3.32 tff(7062,plain,
% 4.48/3.32 (~m_main_v_state1(s84, c_n1)),
% 4.48/3.32 inference(unit_resolution,[status(thm)],[7061, 10, 7058])).
% 4.48/3.32 tff(7063,plain,
% 4.48/3.32 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s84, c_n1) | (~node11(s84)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s84, c_n1) | (~node11(s84)))),
% 4.48/3.32 inference(rewrite,[status(thm)],[])).
% 4.48/3.32 tff(7064,plain,
% 4.48/3.32 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s84, c_n1) | (~node11(s84)))),
% 4.48/3.32 inference(quant_inst,[status(thm)],[])).
% 4.48/3.32 tff(7065,plain,
% 4.48/3.32 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s84, c_n1) | (~node11(s84))),
% 4.48/3.32 inference(modus_ponens,[status(thm)],[7064, 7063])).
% 4.48/3.32 tff(7066,plain,
% 4.48/3.32 (~node11(s84)),
% 4.48/3.32 inference(unit_resolution,[status(thm)],[7065, 238, 7062])).
% 4.48/3.32 tff(7067,plain,
% 4.48/3.32 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s84, c_t1)) | (~m_main_v_state1(s84, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s84, c_t1)) | (~m_main_v_state1(s84, c_c1)))),
% 4.48/3.32 inference(rewrite,[status(thm)],[])).
% 4.48/3.32 tff(7068,plain,
% 4.48/3.32 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s84, c_t1)) | (~m_main_v_state1(s84, c_c1)))),
% 4.48/3.32 inference(quant_inst,[status(thm)],[])).
% 4.48/3.32 tff(7069,plain,
% 4.48/3.32 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s84, c_t1)) | (~m_main_v_state1(s84, c_c1))),
% 4.48/3.32 inference(modus_ponens,[status(thm)],[7068, 7067])).
% 4.48/3.32 tff(7070,plain,
% 4.48/3.32 (~m_main_v_state1(s84, c_c1)),
% 4.48/3.32 inference(unit_resolution,[status(thm)],[7069, 539, 7058])).
% 4.48/3.32 tff(7071,plain,
% 4.48/3.32 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s84, c_c1) | (~node10(s84)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s84, c_c1) | (~node10(s84)))),
% 4.48/3.32 inference(rewrite,[status(thm)],[])).
% 4.48/3.32 tff(7072,plain,
% 4.48/3.32 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s84, c_c1) | (~node10(s84)))),
% 4.48/3.32 inference(quant_inst,[status(thm)],[])).
% 4.48/3.32 tff(7073,plain,
% 4.48/3.32 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s84, c_c1) | (~node10(s84))),
% 4.48/3.32 inference(modus_ponens,[status(thm)],[7072, 7071])).
% 4.48/3.32 tff(7074,plain,
% 4.48/3.32 (~node10(s84)),
% 4.48/3.32 inference(unit_resolution,[status(thm)],[7073, 675, 7070])).
% 4.48/3.32 tff(7075,plain,
% 4.48/3.32 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s84, c_n1) | (~node9(s84)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s84, c_n1) | (~node9(s84)))),
% 4.48/3.32 inference(rewrite,[status(thm)],[])).
% 4.48/3.32 tff(7076,plain,
% 4.48/3.32 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s84, c_n1) | (~node9(s84)))),
% 4.48/3.32 inference(quant_inst,[status(thm)],[])).
% 4.48/3.32 tff(7077,plain,
% 4.48/3.32 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s84, c_n1) | (~node9(s84))),
% 4.48/3.32 inference(modus_ponens,[status(thm)],[7076, 7075])).
% 4.48/3.32 tff(7078,plain,
% 4.48/3.32 (~node9(s84)),
% 4.48/3.32 inference(unit_resolution,[status(thm)],[7077, 686, 7062])).
% 4.48/3.32 tff(7079,plain,
% 4.48/3.32 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s84, c_n2)) | (~m_main_v_state2(s84, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s84, c_n2)) | (~m_main_v_state2(s84, c_c2)))),
% 4.48/3.32 inference(rewrite,[status(thm)],[])).
% 4.48/3.32 tff(7080,plain,
% 4.48/3.32 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s84, c_n2)) | (~m_main_v_state2(s84, c_c2)))),
% 4.48/3.32 inference(quant_inst,[status(thm)],[])).
% 4.48/3.32 tff(7081,plain,
% 4.48/3.32 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s84, c_n2)) | (~m_main_v_state2(s84, c_c2))),
% 4.48/3.32 inference(modus_ponens,[status(thm)],[7080, 7079])).
% 4.48/3.32 tff(7082,plain,
% 4.48/3.32 (~m_main_v_state2(s84, c_n2)),
% 4.48/3.32 inference(unit_resolution,[status(thm)],[7081, 697, 7041])).
% 4.48/3.32 tff(7083,plain,
% 4.48/3.32 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s84, c_n2) | (~node8(s84)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s84, c_n2) | (~node8(s84)))),
% 4.48/3.32 inference(rewrite,[status(thm)],[])).
% 4.48/3.32 tff(7084,plain,
% 4.48/3.32 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s84, c_n2) | (~node8(s84)))),
% 4.48/3.32 inference(quant_inst,[status(thm)],[])).
% 4.48/3.32 tff(7085,plain,
% 4.48/3.32 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s84, c_n2) | (~node8(s84))),
% 4.48/3.32 inference(modus_ponens,[status(thm)],[7084, 7083])).
% 4.48/3.32 tff(7086,plain,
% 4.48/3.32 (~node8(s84)),
% 4.48/3.32 inference(unit_resolution,[status(thm)],[7085, 271, 7082])).
% 4.48/3.32 tff(7087,plain,
% 4.48/3.32 (succ(s84, s85) <=> succ(s84, s85)),
% 4.48/3.32 inference(rewrite,[status(thm)],[])).
% 4.48/3.32 tff(7088,axiom,(succ(s84, s85)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound85')).
% 4.48/3.32 tff(7089,plain,
% 4.48/3.32 (succ(s84, s85)),
% 4.48/3.32 inference(modus_ponens,[status(thm)],[7088, 7087])).
% 4.48/3.32 tff(7090,plain,
% 4.48/3.32 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s84, s85)) | trans(s84, s85))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s84, s85)) | trans(s84, s85))),
% 4.48/3.32 inference(rewrite,[status(thm)],[])).
% 4.48/3.32 tff(7091,plain,
% 4.48/3.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s84, s85)) | trans(s84, s85))),
% 4.48/3.32 inference(quant_inst,[status(thm)],[])).
% 4.48/3.32 tff(7092,plain,
% 4.48/3.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s84, s85)) | trans(s84, s85)),
% 4.48/3.32 inference(modus_ponens,[status(thm)],[7091, 7090])).
% 4.48/3.32 tff(7093,plain,
% 4.48/3.32 (trans(s84, s85)),
% 4.48/3.32 inference(unit_resolution,[status(thm)],[7092, 7089, 32])).
% 4.48/3.32 tff(7094,plain,
% 4.48/3.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s84, s85)) | node14(s84, s85))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s84, s85)) | node14(s84, s85))),
% 4.48/3.32 inference(rewrite,[status(thm)],[])).
% 4.48/3.32 tff(7095,plain,
% 4.48/3.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s84, s85)) | node14(s84, s85))),
% 4.48/3.32 inference(quant_inst,[status(thm)],[])).
% 4.48/3.32 tff(7096,plain,
% 4.48/3.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s84, s85)) | node14(s84, s85)),
% 4.48/3.32 inference(modus_ponens,[status(thm)],[7095, 7094])).
% 4.48/3.32 tff(7097,plain,
% 4.48/3.32 (node14(s84, s85)),
% 4.48/3.32 inference(unit_resolution,[status(thm)],[7096, 46, 7093])).
% 4.48/3.32 tff(7098,plain,
% 4.48/3.32 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s85, c_n2) | node9(s84) | node8(s84) | node10(s84) | node11(s84) | node12(s84) | (~node14(s84, s85)) | (~m_main_v_state2(s84, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s85, c_n2) | node9(s84) | node8(s84) | node10(s84) | node11(s84) | node12(s84) | (~node14(s84, s85)) | (~m_main_v_state2(s84, c_c2)))),
% 4.48/3.32 inference(rewrite,[status(thm)],[])).
% 4.48/3.32 tff(7099,plain,
% 4.48/3.32 (((~m_main_v_state2(s84, c_c2)) | node9(s84) | node8(s84) | node10(s84) | node11(s84) | node12(s84) | (~node14(s84, s85)) | m_main_v_state2(s85, c_n2)) <=> (m_main_v_state2(s85, c_n2) | node9(s84) | node8(s84) | node10(s84) | node11(s84) | node12(s84) | (~node14(s84, s85)) | (~m_main_v_state2(s84, c_c2)))),
% 4.48/3.32 inference(rewrite,[status(thm)],[])).
% 4.48/3.32 tff(7100,plain,
% 4.48/3.32 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s84, c_c2)) | node9(s84) | node8(s84) | node10(s84) | node11(s84) | node12(s84) | (~node14(s84, s85)) | m_main_v_state2(s85, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s85, c_n2) | node9(s84) | node8(s84) | node10(s84) | node11(s84) | node12(s84) | (~node14(s84, s85)) | (~m_main_v_state2(s84, c_c2))))),
% 4.48/3.32 inference(monotonicity,[status(thm)],[7099])).
% 4.48/3.32 tff(7101,plain,
% 4.48/3.32 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s84, c_c2)) | node9(s84) | node8(s84) | node10(s84) | node11(s84) | node12(s84) | (~node14(s84, s85)) | m_main_v_state2(s85, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s85, c_n2) | node9(s84) | node8(s84) | node10(s84) | node11(s84) | node12(s84) | (~node14(s84, s85)) | (~m_main_v_state2(s84, c_c2)))),
% 4.48/3.32 inference(transitivity,[status(thm)],[7100, 7098])).
% 4.48/3.32 tff(7102,plain,
% 4.48/3.32 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s84, c_c2)) | node9(s84) | node8(s84) | node10(s84) | node11(s84) | node12(s84) | (~node14(s84, s85)) | m_main_v_state2(s85, c_n2))),
% 4.48/3.32 inference(quant_inst,[status(thm)],[])).
% 4.48/3.32 tff(7103,plain,
% 4.48/3.32 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s85, c_n2) | node9(s84) | node8(s84) | node10(s84) | node11(s84) | node12(s84) | (~node14(s84, s85)) | (~m_main_v_state2(s84, c_c2))),
% 4.48/3.32 inference(modus_ponens,[status(thm)],[7102, 7101])).
% 4.48/3.32 tff(7104,plain,
% 4.48/3.32 (m_main_v_state2(s85, c_n2) | node9(s84) | node8(s84) | node10(s84) | node11(s84) | node12(s84) | (~m_main_v_state2(s84, c_c2))),
% 4.48/3.32 inference(unit_resolution,[status(thm)],[7103, 726, 7097])).
% 4.48/3.32 tff(7105,plain,
% 4.48/3.32 (m_main_v_state2(s85, c_n2)),
% 4.48/3.32 inference(unit_resolution,[status(thm)],[7104, 7086, 7041, 7078, 7074, 7066, 7049])).
% 4.48/3.32 tff(7106,plain,
% 4.48/3.32 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s85, c_n2)) | (~m_main_v_state2(s85, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s85, c_n2)) | (~m_main_v_state2(s85, c_c2)))),
% 4.48/3.32 inference(rewrite,[status(thm)],[])).
% 4.48/3.32 tff(7107,plain,
% 4.48/3.32 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s85, c_n2)) | (~m_main_v_state2(s85, c_c2)))),
% 4.48/3.32 inference(quant_inst,[status(thm)],[])).
% 4.48/3.32 tff(7108,plain,
% 4.48/3.32 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s85, c_n2)) | (~m_main_v_state2(s85, c_c2))),
% 4.48/3.32 inference(modus_ponens,[status(thm)],[7107, 7106])).
% 4.48/3.32 tff(7109,plain,
% 4.48/3.32 (~m_main_v_state2(s85, c_c2)),
% 4.48/3.32 inference(unit_resolution,[status(thm)],[7108, 697, 7105])).
% 4.48/3.32 tff(7110,plain,
% 4.48/3.32 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s85, c_c2) | (~node3(s85)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s85, c_c2) | (~node3(s85)))),
% 4.48/3.32 inference(rewrite,[status(thm)],[])).
% 4.48/3.32 tff(7111,plain,
% 4.48/3.32 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s85, c_c2) | (~node3(s85)))),
% 4.48/3.32 inference(quant_inst,[status(thm)],[])).
% 4.48/3.32 tff(7112,plain,
% 4.48/3.32 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s85, c_c2) | (~node3(s85))),
% 4.48/3.32 inference(modus_ponens,[status(thm)],[7111, 7110])).
% 4.48/3.32 tff(7113,plain,
% 4.48/3.32 (~node3(s85)),
% 4.48/3.32 inference(unit_resolution,[status(thm)],[7112, 399, 7109])).
% 4.48/3.32 tff(7114,plain,
% 4.48/3.32 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s84, c_n1) | (~node1(s84)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s84, c_n1) | (~node1(s84)))),
% 4.48/3.32 inference(rewrite,[status(thm)],[])).
% 4.48/3.32 tff(7115,plain,
% 4.48/3.32 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s84, c_n1) | (~node1(s84)))),
% 4.48/3.32 inference(quant_inst,[status(thm)],[])).
% 4.48/3.32 tff(7116,plain,
% 4.48/3.32 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s84, c_n1) | (~node1(s84))),
% 4.48/3.32 inference(modus_ponens,[status(thm)],[7115, 7114])).
% 4.48/3.32 tff(7117,plain,
% 4.48/3.32 (~node1(s84)),
% 4.48/3.32 inference(unit_resolution,[status(thm)],[7116, 421, 7062])).
% 4.48/3.32 tff(7118,plain,
% 4.48/3.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s83, s84)) | node18(s83, s84))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s83, s84)) | node18(s83, s84))),
% 4.48/3.32 inference(rewrite,[status(thm)],[])).
% 4.48/3.32 tff(7119,plain,
% 4.48/3.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s83, s84)) | node18(s83, s84))),
% 4.48/3.32 inference(quant_inst,[status(thm)],[])).
% 4.48/3.32 tff(7120,plain,
% 4.48/3.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s83, s84)) | node18(s83, s84)),
% 4.48/3.32 inference(modus_ponens,[status(thm)],[7119, 7118])).
% 4.48/3.32 tff(7121,plain,
% 4.48/3.32 (node18(s83, s84)),
% 4.48/3.32 inference(unit_resolution,[status(thm)],[7120, 125, 7032])).
% 4.48/3.32 tff(7122,plain,
% 4.48/3.32 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s83, c_n1)) | (~m_main_v_state2(s83, c_t2)) | (~node18(s83, s84)) | m_main_v_turn(s84, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s83, c_n1)) | (~m_main_v_state2(s83, c_t2)) | (~node18(s83, s84)) | m_main_v_turn(s84, c_2))),
% 4.48/3.32 inference(rewrite,[status(thm)],[])).
% 4.48/3.32 tff(7123,plain,
% 4.48/3.32 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s83, c_n1)) | (~m_main_v_state2(s83, c_t2)) | (~node18(s83, s84)) | m_main_v_turn(s84, c_2))),
% 4.48/3.32 inference(quant_inst,[status(thm)],[])).
% 4.48/3.32 tff(7124,plain,
% 4.48/3.32 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s83, c_n1)) | (~m_main_v_state2(s83, c_t2)) | (~node18(s83, s84)) | m_main_v_turn(s84, c_2)),
% 4.48/3.32 inference(modus_ponens,[status(thm)],[7123, 7122])).
% 4.48/3.32 tff(7125,plain,
% 4.48/3.32 ((~m_main_v_state1(s83, c_n1)) | (~m_main_v_state2(s83, c_t2)) | m_main_v_turn(s84, c_2)),
% 4.48/3.32 inference(unit_resolution,[status(thm)],[7124, 760, 7121])).
% 4.48/3.32 tff(7126,plain,
% 4.48/3.32 (m_main_v_turn(s84, c_2)),
% 4.48/3.32 inference(unit_resolution,[status(thm)],[7125, 6985, 7021])).
% 4.48/3.32 tff(7127,plain,
% 4.48/3.32 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s84, c_1)) | (~m_main_v_turn(s84, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s84, c_1)) | (~m_main_v_turn(s84, c_2)))),
% 4.48/3.32 inference(rewrite,[status(thm)],[])).
% 4.48/3.32 tff(7128,plain,
% 4.48/3.32 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s84, c_1)) | (~m_main_v_turn(s84, c_2)))),
% 4.48/3.32 inference(quant_inst,[status(thm)],[])).
% 4.48/3.32 tff(7129,plain,
% 4.48/3.32 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s84, c_1)) | (~m_main_v_turn(s84, c_2))),
% 4.48/3.32 inference(modus_ponens,[status(thm)],[7128, 7127])).
% 4.48/3.32 tff(7130,plain,
% 4.48/3.32 (~m_main_v_turn(s84, c_1)),
% 4.48/3.32 inference(unit_resolution,[status(thm)],[7129, 156, 7126])).
% 4.48/3.32 tff(7131,plain,
% 4.48/3.32 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s84, c_1) | (~node5(s84)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s84, c_1) | (~node5(s84)))),
% 4.48/3.32 inference(rewrite,[status(thm)],[])).
% 4.48/3.32 tff(7132,plain,
% 4.48/3.32 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s84, c_1) | (~node5(s84)))),
% 4.48/3.32 inference(quant_inst,[status(thm)],[])).
% 4.48/3.32 tff(7133,plain,
% 4.48/3.32 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s84, c_1) | (~node5(s84))),
% 4.48/3.32 inference(modus_ponens,[status(thm)],[7132, 7131])).
% 4.48/3.32 tff(7134,plain,
% 4.48/3.32 (~node5(s84)),
% 4.48/3.32 inference(unit_resolution,[status(thm)],[7133, 776, 7130])).
% 4.48/3.32 tff(7135,plain,
% 4.48/3.32 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s84, c_n1) | (~node2(s84)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s84, c_n1) | (~node2(s84)))),
% 4.48/3.32 inference(rewrite,[status(thm)],[])).
% 4.48/3.32 tff(7136,plain,
% 4.48/3.32 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s84, c_n1) | (~node2(s84)))),
% 4.48/3.32 inference(quant_inst,[status(thm)],[])).
% 4.48/3.32 tff(7137,plain,
% 4.48/3.32 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s84, c_n1) | (~node2(s84))),
% 4.48/3.32 inference(modus_ponens,[status(thm)],[7136, 7135])).
% 4.48/3.32 tff(7138,plain,
% 4.48/3.32 (~node2(s84)),
% 4.48/3.32 inference(unit_resolution,[status(thm)],[7137, 787, 7062])).
% 4.48/3.32 tff(7139,plain,
% 4.48/3.32 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s84, c_n1) | (~node3(s84)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s84, c_n1) | (~node3(s84)))),
% 4.48/3.32 inference(rewrite,[status(thm)],[])).
% 4.48/3.32 tff(7140,plain,
% 4.48/3.32 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s84, c_n1) | (~node3(s84)))),
% 4.48/3.32 inference(quant_inst,[status(thm)],[])).
% 4.48/3.32 tff(7141,plain,
% 4.48/3.32 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s84, c_n1) | (~node3(s84))),
% 4.48/3.32 inference(modus_ponens,[status(thm)],[7140, 7139])).
% 4.48/3.32 tff(7142,plain,
% 4.48/3.32 (~node3(s84)),
% 4.48/3.32 inference(unit_resolution,[status(thm)],[7141, 798, 7062])).
% 4.48/3.32 tff(7143,plain,
% 4.48/3.32 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s84, c_n2) | (~node4(s84)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s84, c_n2) | (~node4(s84)))),
% 4.48/3.32 inference(rewrite,[status(thm)],[])).
% 4.48/3.32 tff(7144,plain,
% 4.48/3.32 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s84, c_n2) | (~node4(s84)))),
% 4.48/3.32 inference(quant_inst,[status(thm)],[])).
% 4.48/3.32 tff(7145,plain,
% 4.48/3.32 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s84, c_n2) | (~node4(s84))),
% 4.48/3.32 inference(modus_ponens,[status(thm)],[7144, 7143])).
% 4.48/3.32 tff(7146,plain,
% 4.48/3.32 (~node4(s84)),
% 4.48/3.32 inference(unit_resolution,[status(thm)],[7145, 388, 7082])).
% 4.48/3.32 tff(7147,plain,
% 4.48/3.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s84, s85)) | node7(s84, s85))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s84, s85)) | node7(s84, s85))),
% 4.48/3.32 inference(rewrite,[status(thm)],[])).
% 4.48/3.32 tff(7148,plain,
% 4.48/3.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s84, s85)) | node7(s84, s85))),
% 4.48/3.32 inference(quant_inst,[status(thm)],[])).
% 4.48/3.32 tff(7149,plain,
% 4.48/3.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s84, s85)) | node7(s84, s85)),
% 4.48/3.32 inference(modus_ponens,[status(thm)],[7148, 7147])).
% 4.48/3.32 tff(7150,plain,
% 4.48/3.32 (node7(s84, s85)),
% 4.48/3.32 inference(unit_resolution,[status(thm)],[7149, 206, 7093])).
% 4.48/3.32 tff(7151,plain,
% 4.48/3.32 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s84, c_c1) | node1(s84) | node2(s84) | node3(s84) | node4(s84) | node5(s84) | node6(s84, s85) | (~node7(s84, s85)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s84, c_c1) | node1(s84) | node2(s84) | node3(s84) | node4(s84) | node5(s84) | node6(s84, s85) | (~node7(s84, s85)))),
% 4.48/3.32 inference(rewrite,[status(thm)],[])).
% 4.48/3.32 tff(7152,plain,
% 4.48/3.32 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s84, c_c1) | node1(s84) | node2(s84) | node3(s84) | node4(s84) | node5(s84) | node6(s84, s85) | (~node7(s84, s85)))),
% 4.48/3.32 inference(quant_inst,[status(thm)],[])).
% 4.48/3.32 tff(7153,plain,
% 4.48/3.32 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s84, c_c1) | node1(s84) | node2(s84) | node3(s84) | node4(s84) | node5(s84) | node6(s84, s85) | (~node7(s84, s85))),
% 4.48/3.32 inference(modus_ponens,[status(thm)],[7152, 7151])).
% 4.48/3.32 tff(7154,plain,
% 4.48/3.32 (m_main_v_state1(s84, c_c1) | node1(s84) | node2(s84) | node3(s84) | node4(s84) | node5(s84) | node6(s84, s85)),
% 4.48/3.32 inference(unit_resolution,[status(thm)],[7153, 820, 7150])).
% 4.48/3.32 tff(7155,plain,
% 4.48/3.32 (node6(s84, s85)),
% 4.48/3.32 inference(unit_resolution,[status(thm)],[7154, 7146, 7070, 7142, 7138, 7134, 7117])).
% 4.48/3.32 tff(7156,plain,
% 4.48/3.32 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s84, c_n1) | (~m_main_v_state1(s85, c_n1)) | (~node6(s84, s85)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s84, c_n1) | (~m_main_v_state1(s85, c_n1)) | (~node6(s84, s85)))),
% 4.48/3.32 inference(rewrite,[status(thm)],[])).
% 4.48/3.32 tff(7157,plain,
% 4.48/3.32 (((~node6(s84, s85)) | m_main_v_state1(s84, c_n1) | (~m_main_v_state1(s85, c_n1))) <=> (m_main_v_state1(s84, c_n1) | (~m_main_v_state1(s85, c_n1)) | (~node6(s84, s85)))),
% 4.48/3.32 inference(rewrite,[status(thm)],[])).
% 4.48/3.32 tff(7158,plain,
% 4.48/3.32 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s84, s85)) | m_main_v_state1(s84, c_n1) | (~m_main_v_state1(s85, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s84, c_n1) | (~m_main_v_state1(s85, c_n1)) | (~node6(s84, s85))))),
% 4.48/3.32 inference(monotonicity,[status(thm)],[7157])).
% 4.48/3.32 tff(7159,plain,
% 4.48/3.32 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s84, s85)) | m_main_v_state1(s84, c_n1) | (~m_main_v_state1(s85, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s84, c_n1) | (~m_main_v_state1(s85, c_n1)) | (~node6(s84, s85)))),
% 4.48/3.32 inference(transitivity,[status(thm)],[7158, 7156])).
% 4.48/3.32 tff(7160,plain,
% 4.48/3.32 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s84, s85)) | m_main_v_state1(s84, c_n1) | (~m_main_v_state1(s85, c_n1)))),
% 4.48/3.32 inference(quant_inst,[status(thm)],[])).
% 4.48/3.32 tff(7161,plain,
% 4.48/3.32 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s84, c_n1) | (~m_main_v_state1(s85, c_n1)) | (~node6(s84, s85))),
% 4.48/3.32 inference(modus_ponens,[status(thm)],[7160, 7159])).
% 4.48/3.32 tff(7162,plain,
% 4.48/3.32 (~m_main_v_state1(s85, c_n1)),
% 4.48/3.32 inference(unit_resolution,[status(thm)],[7161, 835, 7062, 7155])).
% 4.48/3.32 tff(7163,plain,
% 4.48/3.32 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s85, c_n1) | (~node2(s85)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s85, c_n1) | (~node2(s85)))),
% 4.48/3.32 inference(rewrite,[status(thm)],[])).
% 4.48/3.32 tff(7164,plain,
% 4.48/3.32 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s85, c_n1) | (~node2(s85)))),
% 4.48/3.32 inference(quant_inst,[status(thm)],[])).
% 4.48/3.32 tff(7165,plain,
% 4.48/3.32 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s85, c_n1) | (~node2(s85))),
% 4.48/3.32 inference(modus_ponens,[status(thm)],[7164, 7163])).
% 4.48/3.32 tff(7166,plain,
% 4.48/3.32 (~node2(s85)),
% 4.48/3.32 inference(unit_resolution,[status(thm)],[7165, 787, 7162])).
% 4.48/3.32 tff(7167,plain,
% 4.48/3.32 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s84, c_t1)) | m_main_v_state1(s85, c_t1) | (~node6(s84, s85)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s84, c_t1)) | m_main_v_state1(s85, c_t1) | (~node6(s84, s85)))),
% 4.48/3.32 inference(rewrite,[status(thm)],[])).
% 4.48/3.32 tff(7168,plain,
% 4.48/3.32 (((~node6(s84, s85)) | (~m_main_v_state1(s84, c_t1)) | m_main_v_state1(s85, c_t1)) <=> ((~m_main_v_state1(s84, c_t1)) | m_main_v_state1(s85, c_t1) | (~node6(s84, s85)))),
% 4.48/3.32 inference(rewrite,[status(thm)],[])).
% 4.48/3.32 tff(7169,plain,
% 4.48/3.32 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s84, s85)) | (~m_main_v_state1(s84, c_t1)) | m_main_v_state1(s85, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s84, c_t1)) | m_main_v_state1(s85, c_t1) | (~node6(s84, s85))))),
% 4.48/3.32 inference(monotonicity,[status(thm)],[7168])).
% 4.48/3.32 tff(7170,plain,
% 4.48/3.32 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s84, s85)) | (~m_main_v_state1(s84, c_t1)) | m_main_v_state1(s85, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s84, c_t1)) | m_main_v_state1(s85, c_t1) | (~node6(s84, s85)))),
% 4.48/3.32 inference(transitivity,[status(thm)],[7169, 7167])).
% 4.48/3.32 tff(7171,plain,
% 4.48/3.32 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s84, s85)) | (~m_main_v_state1(s84, c_t1)) | m_main_v_state1(s85, c_t1))),
% 4.48/3.32 inference(quant_inst,[status(thm)],[])).
% 4.48/3.32 tff(7172,plain,
% 4.48/3.32 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s84, c_t1)) | m_main_v_state1(s85, c_t1) | (~node6(s84, s85))),
% 4.48/3.32 inference(modus_ponens,[status(thm)],[7171, 7170])).
% 4.48/3.32 tff(7173,plain,
% 4.48/3.32 (m_main_v_state1(s85, c_t1)),
% 4.48/3.32 inference(unit_resolution,[status(thm)],[7172, 856, 7058, 7155])).
% 4.48/3.32 tff(7174,plain,
% 4.48/3.32 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s85, c_n2)) | (~m_main_v_state2(s85, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s85, c_n2)) | (~m_main_v_state2(s85, c_t2)))),
% 4.48/3.32 inference(rewrite,[status(thm)],[])).
% 4.48/3.32 tff(7175,plain,
% 4.48/3.33 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s85, c_n2)) | (~m_main_v_state2(s85, c_t2)))),
% 4.48/3.33 inference(quant_inst,[status(thm)],[])).
% 4.48/3.33 tff(7176,plain,
% 4.48/3.33 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s85, c_n2)) | (~m_main_v_state2(s85, c_t2))),
% 4.48/3.33 inference(modus_ponens,[status(thm)],[7175, 7174])).
% 4.48/3.33 tff(7177,plain,
% 4.48/3.33 (~m_main_v_state2(s85, c_t2)),
% 4.48/3.33 inference(unit_resolution,[status(thm)],[7176, 77, 7105])).
% 4.48/3.33 tff(7178,plain,
% 4.48/3.33 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s85, c_t2) | (~node1(s85)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s85, c_t2) | (~node1(s85)))),
% 4.48/3.33 inference(rewrite,[status(thm)],[])).
% 4.48/3.33 tff(7179,plain,
% 4.48/3.33 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s85, c_t2) | (~node1(s85)))),
% 4.48/3.33 inference(quant_inst,[status(thm)],[])).
% 4.48/3.33 tff(7180,plain,
% 4.48/3.33 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s85, c_t2) | (~node1(s85))),
% 4.48/3.33 inference(modus_ponens,[status(thm)],[7179, 7178])).
% 4.48/3.33 tff(7181,plain,
% 4.48/3.33 (~node1(s85)),
% 4.48/3.33 inference(unit_resolution,[status(thm)],[7180, 195, 7177])).
% 4.48/3.33 tff(7182,plain,
% 4.48/3.33 (succ(s85, s86) <=> succ(s85, s86)),
% 4.48/3.33 inference(rewrite,[status(thm)],[])).
% 4.48/3.33 tff(7183,axiom,(succ(s85, s86)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound86')).
% 4.48/3.33 tff(7184,plain,
% 4.48/3.33 (succ(s85, s86)),
% 4.48/3.33 inference(modus_ponens,[status(thm)],[7183, 7182])).
% 4.48/3.33 tff(7185,plain,
% 4.48/3.33 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s85, s86)) | trans(s85, s86))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s85, s86)) | trans(s85, s86))),
% 4.48/3.33 inference(rewrite,[status(thm)],[])).
% 4.48/3.33 tff(7186,plain,
% 4.48/3.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s85, s86)) | trans(s85, s86))),
% 4.48/3.33 inference(quant_inst,[status(thm)],[])).
% 4.48/3.33 tff(7187,plain,
% 4.48/3.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s85, s86)) | trans(s85, s86)),
% 4.48/3.33 inference(modus_ponens,[status(thm)],[7186, 7185])).
% 4.48/3.33 tff(7188,plain,
% 4.48/3.33 (trans(s85, s86)),
% 4.48/3.33 inference(unit_resolution,[status(thm)],[7187, 7184, 32])).
% 4.48/3.33 tff(7189,plain,
% 4.48/3.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s85, s86)) | node7(s85, s86))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s85, s86)) | node7(s85, s86))),
% 4.48/3.33 inference(rewrite,[status(thm)],[])).
% 4.48/3.33 tff(7190,plain,
% 4.48/3.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s85, s86)) | node7(s85, s86))),
% 4.48/3.33 inference(quant_inst,[status(thm)],[])).
% 4.48/3.33 tff(7191,plain,
% 4.48/3.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s85, s86)) | node7(s85, s86)),
% 4.48/3.33 inference(modus_ponens,[status(thm)],[7190, 7189])).
% 4.48/3.33 tff(7192,plain,
% 4.48/3.33 (node7(s85, s86)),
% 4.48/3.33 inference(unit_resolution,[status(thm)],[7191, 206, 7188])).
% 4.48/3.33 tff(7193,plain,
% 4.48/3.33 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s85, c_t1)) | (~m_main_v_state2(s85, c_n2)) | m_main_v_state1(s86, c_c1) | node1(s85) | node2(s85) | node3(s85) | (~node7(s85, s86)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s85, c_t1)) | (~m_main_v_state2(s85, c_n2)) | m_main_v_state1(s86, c_c1) | node1(s85) | node2(s85) | node3(s85) | (~node7(s85, s86)))),
% 4.48/3.33 inference(rewrite,[status(thm)],[])).
% 4.48/3.33 tff(7194,plain,
% 4.48/3.33 (((~m_main_v_state1(s85, c_t1)) | (~m_main_v_state2(s85, c_n2)) | node1(s85) | node2(s85) | node3(s85) | (~node7(s85, s86)) | m_main_v_state1(s86, c_c1)) <=> ((~m_main_v_state1(s85, c_t1)) | (~m_main_v_state2(s85, c_n2)) | m_main_v_state1(s86, c_c1) | node1(s85) | node2(s85) | node3(s85) | (~node7(s85, s86)))),
% 4.48/3.33 inference(rewrite,[status(thm)],[])).
% 4.48/3.33 tff(7195,plain,
% 4.48/3.33 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s85, c_t1)) | (~m_main_v_state2(s85, c_n2)) | node1(s85) | node2(s85) | node3(s85) | (~node7(s85, s86)) | m_main_v_state1(s86, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s85, c_t1)) | (~m_main_v_state2(s85, c_n2)) | m_main_v_state1(s86, c_c1) | node1(s85) | node2(s85) | node3(s85) | (~node7(s85, s86))))),
% 4.48/3.33 inference(monotonicity,[status(thm)],[7194])).
% 4.48/3.33 tff(7196,plain,
% 4.48/3.33 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s85, c_t1)) | (~m_main_v_state2(s85, c_n2)) | node1(s85) | node2(s85) | node3(s85) | (~node7(s85, s86)) | m_main_v_state1(s86, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s85, c_t1)) | (~m_main_v_state2(s85, c_n2)) | m_main_v_state1(s86, c_c1) | node1(s85) | node2(s85) | node3(s85) | (~node7(s85, s86)))),
% 4.48/3.33 inference(transitivity,[status(thm)],[7195, 7193])).
% 4.48/3.33 tff(7197,plain,
% 4.48/3.33 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s85, c_t1)) | (~m_main_v_state2(s85, c_n2)) | node1(s85) | node2(s85) | node3(s85) | (~node7(s85, s86)) | m_main_v_state1(s86, c_c1))),
% 4.48/3.33 inference(quant_inst,[status(thm)],[])).
% 4.48/3.33 tff(7198,plain,
% 4.48/3.33 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s85, c_t1)) | (~m_main_v_state2(s85, c_n2)) | m_main_v_state1(s86, c_c1) | node1(s85) | node2(s85) | node3(s85) | (~node7(s85, s86))),
% 4.48/3.33 inference(modus_ponens,[status(thm)],[7197, 7196])).
% 4.48/3.33 tff(7199,plain,
% 4.48/3.33 ((~m_main_v_state1(s85, c_t1)) | (~m_main_v_state2(s85, c_n2)) | m_main_v_state1(s86, c_c1) | node1(s85) | node2(s85) | node3(s85)),
% 4.48/3.33 inference(unit_resolution,[status(thm)],[7198, 892, 7192])).
% 4.48/3.33 tff(7200,plain,
% 4.48/3.33 (m_main_v_state1(s86, c_c1)),
% 4.48/3.33 inference(unit_resolution,[status(thm)],[7199, 7181, 7105, 7173, 7166, 7113])).
% 4.48/3.33 tff(7201,plain,
% 4.48/3.33 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s86, c_t1)) | (~m_main_v_state1(s86, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s86, c_t1)) | (~m_main_v_state1(s86, c_c1)))),
% 4.48/3.33 inference(rewrite,[status(thm)],[])).
% 4.48/3.33 tff(7202,plain,
% 4.48/3.33 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s86, c_t1)) | (~m_main_v_state1(s86, c_c1)))),
% 4.48/3.33 inference(quant_inst,[status(thm)],[])).
% 4.48/3.33 tff(7203,plain,
% 4.48/3.33 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s86, c_t1)) | (~m_main_v_state1(s86, c_c1))),
% 4.48/3.33 inference(modus_ponens,[status(thm)],[7202, 7201])).
% 4.48/3.33 tff(7204,plain,
% 4.48/3.33 (~m_main_v_state1(s86, c_t1)),
% 4.48/3.33 inference(unit_resolution,[status(thm)],[7203, 539, 7200])).
% 4.48/3.33 tff(7205,plain,
% 4.48/3.33 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s86, c_t1) | (~node5(s86)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s86, c_t1) | (~node5(s86)))),
% 4.48/3.33 inference(rewrite,[status(thm)],[])).
% 4.48/3.33 tff(7206,plain,
% 4.48/3.33 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s86, c_t1) | (~node5(s86)))),
% 4.48/3.33 inference(quant_inst,[status(thm)],[])).
% 4.48/3.33 tff(7207,plain,
% 4.48/3.33 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s86, c_t1) | (~node5(s86))),
% 4.48/3.33 inference(modus_ponens,[status(thm)],[7206, 7205])).
% 4.48/3.33 tff(7208,plain,
% 4.48/3.33 (~node5(s86)),
% 4.48/3.33 inference(unit_resolution,[status(thm)],[7207, 550, 7204])).
% 4.48/3.33 tff(7209,plain,
% 4.48/3.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s85, s86)) | node14(s85, s86))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s85, s86)) | node14(s85, s86))),
% 4.48/3.33 inference(rewrite,[status(thm)],[])).
% 4.48/3.33 tff(7210,plain,
% 4.48/3.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s85, s86)) | node14(s85, s86))),
% 4.48/3.33 inference(quant_inst,[status(thm)],[])).
% 4.48/3.33 tff(7211,plain,
% 4.48/3.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s85, s86)) | node14(s85, s86)),
% 4.48/3.33 inference(modus_ponens,[status(thm)],[7210, 7209])).
% 4.48/3.33 tff(7212,plain,
% 4.48/3.33 (node14(s85, s86)),
% 4.48/3.33 inference(unit_resolution,[status(thm)],[7211, 46, 7188])).
% 4.48/3.33 tff(7213,plain,
% 4.48/3.33 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s85, c_t1)) | (~m_main_v_state2(s85, c_n2)) | (~node14(s85, s86)) | m_main_v_state2(s86, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s85, c_t1)) | (~m_main_v_state2(s85, c_n2)) | (~node14(s85, s86)) | m_main_v_state2(s86, c_t2))),
% 4.48/3.33 inference(rewrite,[status(thm)],[])).
% 4.48/3.33 tff(7214,plain,
% 4.48/3.33 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s85, c_t1)) | (~m_main_v_state2(s85, c_n2)) | (~node14(s85, s86)) | m_main_v_state2(s86, c_t2))),
% 4.48/3.33 inference(quant_inst,[status(thm)],[])).
% 4.48/3.33 tff(7215,plain,
% 4.48/3.33 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s85, c_t1)) | (~m_main_v_state2(s85, c_n2)) | (~node14(s85, s86)) | m_main_v_state2(s86, c_t2)),
% 4.48/3.33 inference(modus_ponens,[status(thm)],[7214, 7213])).
% 4.48/3.33 tff(7216,plain,
% 4.48/3.33 ((~m_main_v_state1(s85, c_t1)) | (~m_main_v_state2(s85, c_n2)) | m_main_v_state2(s86, c_t2)),
% 4.48/3.33 inference(unit_resolution,[status(thm)],[7215, 922, 7212])).
% 4.48/3.33 tff(7217,plain,
% 4.48/3.33 (m_main_v_state2(s86, c_t2)),
% 4.48/3.33 inference(unit_resolution,[status(thm)],[7216, 7173, 7105])).
% 4.48/3.33 tff(7218,plain,
% 4.48/3.33 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s86, c_n2)) | (~m_main_v_state2(s86, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s86, c_n2)) | (~m_main_v_state2(s86, c_t2)))),
% 4.48/3.33 inference(rewrite,[status(thm)],[])).
% 4.48/3.33 tff(7219,plain,
% 4.48/3.33 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s86, c_n2)) | (~m_main_v_state2(s86, c_t2)))),
% 4.48/3.33 inference(quant_inst,[status(thm)],[])).
% 4.48/3.33 tff(7220,plain,
% 4.48/3.33 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s86, c_n2)) | (~m_main_v_state2(s86, c_t2))),
% 4.48/3.33 inference(modus_ponens,[status(thm)],[7219, 7218])).
% 4.48/3.33 tff(7221,plain,
% 4.48/3.33 (~m_main_v_state2(s86, c_n2)),
% 4.48/3.33 inference(unit_resolution,[status(thm)],[7220, 77, 7217])).
% 4.48/3.33 tff(7222,plain,
% 4.48/3.33 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s86, c_n2) | (~node4(s86)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s86, c_n2) | (~node4(s86)))),
% 4.48/3.33 inference(rewrite,[status(thm)],[])).
% 4.48/3.33 tff(7223,plain,
% 4.48/3.33 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s86, c_n2) | (~node4(s86)))),
% 4.48/3.33 inference(quant_inst,[status(thm)],[])).
% 4.48/3.33 tff(7224,plain,
% 4.48/3.33 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s86, c_n2) | (~node4(s86))),
% 4.48/3.33 inference(modus_ponens,[status(thm)],[7223, 7222])).
% 4.48/3.33 tff(7225,plain,
% 4.48/3.33 (~node4(s86)),
% 4.48/3.33 inference(unit_resolution,[status(thm)],[7224, 388, 7221])).
% 4.48/3.33 tff(7226,plain,
% 4.48/3.33 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s86, c_t2)) | (~m_main_v_state2(s86, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s86, c_t2)) | (~m_main_v_state2(s86, c_c2)))),
% 4.48/3.33 inference(rewrite,[status(thm)],[])).
% 4.48/3.33 tff(7227,plain,
% 4.48/3.33 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s86, c_t2)) | (~m_main_v_state2(s86, c_c2)))),
% 4.48/3.33 inference(quant_inst,[status(thm)],[])).
% 4.48/3.33 tff(7228,plain,
% 4.48/3.33 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s86, c_t2)) | (~m_main_v_state2(s86, c_c2))),
% 4.48/3.33 inference(modus_ponens,[status(thm)],[7227, 7226])).
% 4.48/3.33 tff(7229,plain,
% 4.48/3.33 (~m_main_v_state2(s86, c_c2)),
% 4.48/3.33 inference(unit_resolution,[status(thm)],[7228, 260, 7217])).
% 4.48/3.33 tff(7230,plain,
% 4.48/3.33 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s86, c_c2) | (~node3(s86)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s86, c_c2) | (~node3(s86)))),
% 4.48/3.33 inference(rewrite,[status(thm)],[])).
% 4.48/3.33 tff(7231,plain,
% 4.48/3.33 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s86, c_c2) | (~node3(s86)))),
% 4.48/3.33 inference(quant_inst,[status(thm)],[])).
% 4.48/3.33 tff(7232,plain,
% 4.48/3.33 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s86, c_c2) | (~node3(s86))),
% 4.48/3.33 inference(modus_ponens,[status(thm)],[7231, 7230])).
% 4.48/3.33 tff(7233,plain,
% 4.48/3.33 (~node3(s86)),
% 4.48/3.33 inference(unit_resolution,[status(thm)],[7232, 399, 7229])).
% 4.48/3.33 tff(7234,plain,
% 4.48/3.33 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s86, c_n2) | (~node2(s86)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s86, c_n2) | (~node2(s86)))),
% 4.48/3.33 inference(rewrite,[status(thm)],[])).
% 4.48/3.33 tff(7235,plain,
% 4.48/3.33 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s86, c_n2) | (~node2(s86)))),
% 4.48/3.33 inference(quant_inst,[status(thm)],[])).
% 4.48/3.33 tff(7236,plain,
% 4.48/3.33 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s86, c_n2) | (~node2(s86))),
% 4.48/3.33 inference(modus_ponens,[status(thm)],[7235, 7234])).
% 4.48/3.33 tff(7237,plain,
% 4.48/3.33 (~node2(s86)),
% 4.48/3.33 inference(unit_resolution,[status(thm)],[7236, 410, 7221])).
% 4.48/3.33 tff(7238,plain,
% 4.48/3.33 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s86, c_n1)) | (~m_main_v_state1(s86, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s86, c_n1)) | (~m_main_v_state1(s86, c_c1)))),
% 4.48/3.33 inference(rewrite,[status(thm)],[])).
% 4.48/3.33 tff(7239,plain,
% 4.48/3.33 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s86, c_n1)) | (~m_main_v_state1(s86, c_c1)))),
% 4.48/3.33 inference(quant_inst,[status(thm)],[])).
% 4.48/3.33 tff(7240,plain,
% 4.48/3.33 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s86, c_n1)) | (~m_main_v_state1(s86, c_c1))),
% 4.48/3.33 inference(modus_ponens,[status(thm)],[7239, 7238])).
% 4.48/3.33 tff(7241,plain,
% 4.48/3.33 (~m_main_v_state1(s86, c_n1)),
% 4.48/3.33 inference(unit_resolution,[status(thm)],[7240, 454, 7200])).
% 4.48/3.33 tff(7242,plain,
% 4.48/3.33 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s86, c_n1) | (~node1(s86)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s86, c_n1) | (~node1(s86)))),
% 4.48/3.33 inference(rewrite,[status(thm)],[])).
% 4.48/3.33 tff(7243,plain,
% 4.48/3.33 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s86, c_n1) | (~node1(s86)))),
% 4.48/3.33 inference(quant_inst,[status(thm)],[])).
% 4.48/3.33 tff(7244,plain,
% 4.48/3.33 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s86, c_n1) | (~node1(s86))),
% 4.48/3.33 inference(modus_ponens,[status(thm)],[7243, 7242])).
% 4.48/3.33 tff(7245,plain,
% 4.48/3.33 (~node1(s86)),
% 4.48/3.33 inference(unit_resolution,[status(thm)],[7244, 421, 7241])).
% 4.48/3.33 tff(7246,plain,
% 4.48/3.33 (succ(s86, s87) <=> succ(s86, s87)),
% 4.48/3.33 inference(rewrite,[status(thm)],[])).
% 4.48/3.33 tff(7247,axiom,(succ(s86, s87)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound87')).
% 4.48/3.33 tff(7248,plain,
% 4.48/3.33 (succ(s86, s87)),
% 4.48/3.33 inference(modus_ponens,[status(thm)],[7247, 7246])).
% 4.48/3.33 tff(7249,plain,
% 4.48/3.33 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s86, s87)) | trans(s86, s87))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s86, s87)) | trans(s86, s87))),
% 4.48/3.33 inference(rewrite,[status(thm)],[])).
% 4.48/3.33 tff(7250,plain,
% 4.48/3.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s86, s87)) | trans(s86, s87))),
% 4.48/3.33 inference(quant_inst,[status(thm)],[])).
% 4.48/3.33 tff(7251,plain,
% 4.48/3.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s86, s87)) | trans(s86, s87)),
% 4.48/3.33 inference(modus_ponens,[status(thm)],[7250, 7249])).
% 4.48/3.33 tff(7252,plain,
% 4.48/3.33 (trans(s86, s87)),
% 4.48/3.33 inference(unit_resolution,[status(thm)],[7251, 7248, 32])).
% 4.48/3.33 tff(7253,plain,
% 4.48/3.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s86, s87)) | node7(s86, s87))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s86, s87)) | node7(s86, s87))),
% 4.48/3.33 inference(rewrite,[status(thm)],[])).
% 4.48/3.33 tff(7254,plain,
% 4.48/3.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s86, s87)) | node7(s86, s87))),
% 4.48/3.33 inference(quant_inst,[status(thm)],[])).
% 4.48/3.33 tff(7255,plain,
% 4.48/3.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s86, s87)) | node7(s86, s87)),
% 4.48/3.33 inference(modus_ponens,[status(thm)],[7254, 7253])).
% 4.48/3.33 tff(7256,plain,
% 4.48/3.33 (node7(s86, s87)),
% 4.48/3.33 inference(unit_resolution,[status(thm)],[7255, 206, 7252])).
% 4.48/3.33 tff(7257,plain,
% 4.48/3.33 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s87, c_n1) | (~m_main_v_state1(s86, c_c1)) | node1(s86) | node2(s86) | node3(s86) | node4(s86) | node5(s86) | (~node7(s86, s87)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s87, c_n1) | (~m_main_v_state1(s86, c_c1)) | node1(s86) | node2(s86) | node3(s86) | node4(s86) | node5(s86) | (~node7(s86, s87)))),
% 4.48/3.33 inference(rewrite,[status(thm)],[])).
% 4.48/3.33 tff(7258,plain,
% 4.48/3.33 (((~m_main_v_state1(s86, c_c1)) | node1(s86) | node2(s86) | node3(s86) | node4(s86) | node5(s86) | (~node7(s86, s87)) | m_main_v_state1(s87, c_n1)) <=> (m_main_v_state1(s87, c_n1) | (~m_main_v_state1(s86, c_c1)) | node1(s86) | node2(s86) | node3(s86) | node4(s86) | node5(s86) | (~node7(s86, s87)))),
% 4.48/3.33 inference(rewrite,[status(thm)],[])).
% 4.48/3.33 tff(7259,plain,
% 4.48/3.33 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s86, c_c1)) | node1(s86) | node2(s86) | node3(s86) | node4(s86) | node5(s86) | (~node7(s86, s87)) | m_main_v_state1(s87, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s87, c_n1) | (~m_main_v_state1(s86, c_c1)) | node1(s86) | node2(s86) | node3(s86) | node4(s86) | node5(s86) | (~node7(s86, s87))))),
% 4.48/3.33 inference(monotonicity,[status(thm)],[7258])).
% 4.48/3.33 tff(7260,plain,
% 4.48/3.33 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s86, c_c1)) | node1(s86) | node2(s86) | node3(s86) | node4(s86) | node5(s86) | (~node7(s86, s87)) | m_main_v_state1(s87, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s87, c_n1) | (~m_main_v_state1(s86, c_c1)) | node1(s86) | node2(s86) | node3(s86) | node4(s86) | node5(s86) | (~node7(s86, s87)))),
% 4.48/3.33 inference(transitivity,[status(thm)],[7259, 7257])).
% 4.48/3.33 tff(7261,plain,
% 4.48/3.33 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s86, c_c1)) | node1(s86) | node2(s86) | node3(s86) | node4(s86) | node5(s86) | (~node7(s86, s87)) | m_main_v_state1(s87, c_n1))),
% 4.48/3.33 inference(quant_inst,[status(thm)],[])).
% 4.48/3.33 tff(7262,plain,
% 4.48/3.33 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s87, c_n1) | (~m_main_v_state1(s86, c_c1)) | node1(s86) | node2(s86) | node3(s86) | node4(s86) | node5(s86) | (~node7(s86, s87))),
% 4.48/3.33 inference(modus_ponens,[status(thm)],[7261, 7260])).
% 4.48/3.33 tff(7263,plain,
% 4.48/3.33 (m_main_v_state1(s87, c_n1) | (~m_main_v_state1(s86, c_c1)) | node1(s86) | node2(s86) | node3(s86) | node4(s86) | node5(s86)),
% 4.48/3.33 inference(unit_resolution,[status(thm)],[7262, 584, 7256])).
% 4.48/3.33 tff(7264,plain,
% 4.48/3.33 (m_main_v_state1(s87, c_n1)),
% 4.48/3.33 inference(unit_resolution,[status(thm)],[7263, 7245, 7200, 7237, 7233, 7225, 7208])).
% 4.48/3.33 tff(7265,plain,
% 4.48/3.33 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s85, c_t2) | (~node15(s85)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s85, c_t2) | (~node15(s85)))),
% 4.48/3.33 inference(rewrite,[status(thm)],[])).
% 4.48/3.33 tff(7266,plain,
% 4.48/3.33 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s85, c_t2) | (~node15(s85)))),
% 4.48/3.33 inference(quant_inst,[status(thm)],[])).
% 4.48/3.33 tff(7267,plain,
% 4.48/3.33 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s85, c_t2) | (~node15(s85))),
% 4.48/3.33 inference(modus_ponens,[status(thm)],[7266, 7265])).
% 4.48/3.33 tff(7268,plain,
% 4.48/3.33 (~node15(s85)),
% 4.48/3.33 inference(unit_resolution,[status(thm)],[7267, 103, 7177])).
% 4.48/3.33 tff(7269,plain,
% 4.48/3.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s85, s86)) | node18(s85, s86))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s85, s86)) | node18(s85, s86))),
% 4.48/3.33 inference(rewrite,[status(thm)],[])).
% 4.48/3.33 tff(7270,plain,
% 4.48/3.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s85, s86)) | node18(s85, s86))),
% 4.48/3.33 inference(quant_inst,[status(thm)],[])).
% 4.48/3.33 tff(7271,plain,
% 4.48/3.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s85, s86)) | node18(s85, s86)),
% 4.48/3.33 inference(modus_ponens,[status(thm)],[7270, 7269])).
% 4.48/3.33 tff(7272,plain,
% 4.48/3.33 (node18(s85, s86)),
% 4.48/3.33 inference(unit_resolution,[status(thm)],[7271, 125, 7188])).
% 4.48/3.33 tff(7273,plain,
% 4.48/3.33 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s85) | (~node18(s85, s86)) | (~m_main_v_state1(s85, c_t1)) | (~m_main_v_state2(s85, c_n2)) | m_main_v_turn(s86, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s85) | (~node18(s85, s86)) | (~m_main_v_state1(s85, c_t1)) | (~m_main_v_state2(s85, c_n2)) | m_main_v_turn(s86, c_1))),
% 4.48/3.33 inference(rewrite,[status(thm)],[])).
% 4.48/3.33 tff(7274,plain,
% 4.48/3.33 (((~m_main_v_state1(s85, c_t1)) | (~m_main_v_state2(s85, c_n2)) | node15(s85) | (~node18(s85, s86)) | m_main_v_turn(s86, c_1)) <=> (node15(s85) | (~node18(s85, s86)) | (~m_main_v_state1(s85, c_t1)) | (~m_main_v_state2(s85, c_n2)) | m_main_v_turn(s86, c_1))),
% 4.48/3.33 inference(rewrite,[status(thm)],[])).
% 4.48/3.33 tff(7275,plain,
% 4.48/3.33 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s85, c_t1)) | (~m_main_v_state2(s85, c_n2)) | node15(s85) | (~node18(s85, s86)) | m_main_v_turn(s86, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s85) | (~node18(s85, s86)) | (~m_main_v_state1(s85, c_t1)) | (~m_main_v_state2(s85, c_n2)) | m_main_v_turn(s86, c_1)))),
% 4.48/3.33 inference(monotonicity,[status(thm)],[7274])).
% 4.48/3.33 tff(7276,plain,
% 4.48/3.33 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s85, c_t1)) | (~m_main_v_state2(s85, c_n2)) | node15(s85) | (~node18(s85, s86)) | m_main_v_turn(s86, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s85) | (~node18(s85, s86)) | (~m_main_v_state1(s85, c_t1)) | (~m_main_v_state2(s85, c_n2)) | m_main_v_turn(s86, c_1))),
% 4.48/3.33 inference(transitivity,[status(thm)],[7275, 7273])).
% 4.48/3.33 tff(7277,plain,
% 4.48/3.33 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s85, c_t1)) | (~m_main_v_state2(s85, c_n2)) | node15(s85) | (~node18(s85, s86)) | m_main_v_turn(s86, c_1))),
% 4.48/3.33 inference(quant_inst,[status(thm)],[])).
% 4.48/3.33 tff(7278,plain,
% 4.48/3.33 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s85) | (~node18(s85, s86)) | (~m_main_v_state1(s85, c_t1)) | (~m_main_v_state2(s85, c_n2)) | m_main_v_turn(s86, c_1)),
% 4.48/3.33 inference(modus_ponens,[status(thm)],[7277, 7276])).
% 4.48/3.33 tff(7279,plain,
% 4.48/3.33 (node15(s85) | (~m_main_v_state1(s85, c_t1)) | (~m_main_v_state2(s85, c_n2)) | m_main_v_turn(s86, c_1)),
% 4.48/3.33 inference(unit_resolution,[status(thm)],[7278, 992, 7272])).
% 4.48/3.33 tff(7280,plain,
% 4.48/3.33 (m_main_v_turn(s86, c_1)),
% 4.48/3.33 inference(unit_resolution,[status(thm)],[7279, 7268, 7105, 7173])).
% 4.48/3.33 tff(7281,plain,
% 4.48/3.33 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s86, c_1)) | (~m_main_v_turn(s86, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s86, c_1)) | (~m_main_v_turn(s86, c_2)))),
% 4.48/3.33 inference(rewrite,[status(thm)],[])).
% 4.48/3.33 tff(7282,plain,
% 4.48/3.33 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s86, c_1)) | (~m_main_v_turn(s86, c_2)))),
% 4.48/3.33 inference(quant_inst,[status(thm)],[])).
% 4.48/3.33 tff(7283,plain,
% 4.48/3.33 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s86, c_1)) | (~m_main_v_turn(s86, c_2))),
% 4.48/3.33 inference(modus_ponens,[status(thm)],[7282, 7281])).
% 4.48/3.33 tff(7284,plain,
% 4.48/3.33 (~m_main_v_turn(s86, c_2)),
% 4.48/3.33 inference(unit_resolution,[status(thm)],[7283, 156, 7280])).
% 4.48/3.33 tff(7285,plain,
% 4.48/3.33 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s86, c_2) | (~node12(s86)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s86, c_2) | (~node12(s86)))),
% 4.48/3.33 inference(rewrite,[status(thm)],[])).
% 4.48/3.33 tff(7286,plain,
% 4.48/3.33 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s86, c_2) | (~node12(s86)))),
% 4.48/3.33 inference(quant_inst,[status(thm)],[])).
% 4.48/3.33 tff(7287,plain,
% 4.48/3.33 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s86, c_2) | (~node12(s86))),
% 4.48/3.33 inference(modus_ponens,[status(thm)],[7286, 7285])).
% 4.48/3.33 tff(7288,plain,
% 4.48/3.33 (~node12(s86)),
% 4.48/3.33 inference(unit_resolution,[status(thm)],[7287, 184, 7284])).
% 4.48/3.33 tff(7289,plain,
% 4.48/3.33 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s86, c_n2) | (~node8(s86)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s86, c_n2) | (~node8(s86)))),
% 4.48/3.33 inference(rewrite,[status(thm)],[])).
% 4.48/3.33 tff(7290,plain,
% 4.48/3.33 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s86, c_n2) | (~node8(s86)))),
% 4.48/3.33 inference(quant_inst,[status(thm)],[])).
% 4.48/3.33 tff(7291,plain,
% 4.48/3.33 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s86, c_n2) | (~node8(s86))),
% 4.48/3.33 inference(modus_ponens,[status(thm)],[7290, 7289])).
% 4.48/3.33 tff(7292,plain,
% 4.48/3.33 (~node8(s86)),
% 4.48/3.33 inference(unit_resolution,[status(thm)],[7291, 271, 7221])).
% 4.48/3.33 tff(7293,plain,
% 4.48/3.33 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s86, c_n2) | (~node9(s86)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s86, c_n2) | (~node9(s86)))),
% 4.48/3.33 inference(rewrite,[status(thm)],[])).
% 4.48/3.33 tff(7294,plain,
% 4.48/3.33 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s86, c_n2) | (~node9(s86)))),
% 4.48/3.33 inference(quant_inst,[status(thm)],[])).
% 4.48/3.33 tff(7295,plain,
% 4.48/3.33 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s86, c_n2) | (~node9(s86))),
% 4.48/3.33 inference(modus_ponens,[status(thm)],[7294, 7293])).
% 4.48/3.33 tff(7296,plain,
% 4.48/3.33 (~node9(s86)),
% 4.48/3.33 inference(unit_resolution,[status(thm)],[7295, 88, 7221])).
% 4.48/3.33 tff(7297,plain,
% 4.48/3.33 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s86, c_n2) | (~node10(s86)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s86, c_n2) | (~node10(s86)))),
% 4.48/3.34 inference(rewrite,[status(thm)],[])).
% 4.48/3.34 tff(7298,plain,
% 4.48/3.34 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s86, c_n2) | (~node10(s86)))),
% 4.48/3.34 inference(quant_inst,[status(thm)],[])).
% 4.48/3.34 tff(7299,plain,
% 4.48/3.34 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s86, c_n2) | (~node10(s86))),
% 4.48/3.34 inference(modus_ponens,[status(thm)],[7298, 7297])).
% 4.48/3.34 tff(7300,plain,
% 4.48/3.34 (~node10(s86)),
% 4.48/3.34 inference(unit_resolution,[status(thm)],[7299, 249, 7221])).
% 4.48/3.34 tff(7301,plain,
% 4.48/3.34 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s86, c_n1) | (~node11(s86)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s86, c_n1) | (~node11(s86)))),
% 4.48/3.34 inference(rewrite,[status(thm)],[])).
% 4.48/3.34 tff(7302,plain,
% 4.48/3.34 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s86, c_n1) | (~node11(s86)))),
% 4.48/3.34 inference(quant_inst,[status(thm)],[])).
% 4.48/3.34 tff(7303,plain,
% 4.48/3.34 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s86, c_n1) | (~node11(s86))),
% 4.48/3.34 inference(modus_ponens,[status(thm)],[7302, 7301])).
% 4.48/3.34 tff(7304,plain,
% 4.48/3.34 (~node11(s86)),
% 4.48/3.34 inference(unit_resolution,[status(thm)],[7303, 238, 7241])).
% 4.48/3.34 tff(7305,plain,
% 4.48/3.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s86, s87)) | node14(s86, s87))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s86, s87)) | node14(s86, s87))),
% 4.48/3.34 inference(rewrite,[status(thm)],[])).
% 4.48/3.34 tff(7306,plain,
% 4.48/3.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s86, s87)) | node14(s86, s87))),
% 4.48/3.34 inference(quant_inst,[status(thm)],[])).
% 4.48/3.34 tff(7307,plain,
% 4.48/3.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s86, s87)) | node14(s86, s87)),
% 4.48/3.34 inference(modus_ponens,[status(thm)],[7306, 7305])).
% 4.48/3.34 tff(7308,plain,
% 4.48/3.34 (node14(s86, s87)),
% 4.48/3.34 inference(unit_resolution,[status(thm)],[7307, 46, 7252])).
% 4.48/3.34 tff(7309,plain,
% 4.48/3.34 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s86, c_c2) | node9(s86) | node8(s86) | node10(s86) | node11(s86) | node12(s86) | node13(s86, s87) | (~node14(s86, s87)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s86, c_c2) | node9(s86) | node8(s86) | node10(s86) | node11(s86) | node12(s86) | node13(s86, s87) | (~node14(s86, s87)))),
% 4.48/3.34 inference(rewrite,[status(thm)],[])).
% 4.48/3.34 tff(7310,plain,
% 4.48/3.34 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s86, c_c2) | node9(s86) | node8(s86) | node10(s86) | node11(s86) | node12(s86) | node13(s86, s87) | (~node14(s86, s87)))),
% 4.48/3.34 inference(quant_inst,[status(thm)],[])).
% 4.48/3.34 tff(7311,plain,
% 4.48/3.34 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s86, c_c2) | node9(s86) | node8(s86) | node10(s86) | node11(s86) | node12(s86) | node13(s86, s87) | (~node14(s86, s87))),
% 4.48/3.34 inference(modus_ponens,[status(thm)],[7310, 7309])).
% 4.48/3.34 tff(7312,plain,
% 4.48/3.34 (m_main_v_state2(s86, c_c2) | node9(s86) | node8(s86) | node10(s86) | node11(s86) | node12(s86) | node13(s86, s87)),
% 4.48/3.34 inference(unit_resolution,[status(thm)],[7311, 296, 7308])).
% 4.48/3.34 tff(7313,plain,
% 4.48/3.34 (node13(s86, s87)),
% 4.48/3.34 inference(unit_resolution,[status(thm)],[7312, 7304, 7229, 7300, 7296, 7292, 7288])).
% 4.48/3.34 tff(7314,plain,
% 4.48/3.34 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s86, c_t2)) | m_main_v_state2(s87, c_t2) | (~node13(s86, s87)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s86, c_t2)) | m_main_v_state2(s87, c_t2) | (~node13(s86, s87)))),
% 4.48/3.34 inference(rewrite,[status(thm)],[])).
% 4.48/3.34 tff(7315,plain,
% 4.48/3.34 (((~node13(s86, s87)) | (~m_main_v_state2(s86, c_t2)) | m_main_v_state2(s87, c_t2)) <=> ((~m_main_v_state2(s86, c_t2)) | m_main_v_state2(s87, c_t2) | (~node13(s86, s87)))),
% 4.48/3.34 inference(rewrite,[status(thm)],[])).
% 4.48/3.34 tff(7316,plain,
% 4.48/3.34 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s86, s87)) | (~m_main_v_state2(s86, c_t2)) | m_main_v_state2(s87, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s86, c_t2)) | m_main_v_state2(s87, c_t2) | (~node13(s86, s87))))),
% 4.48/3.34 inference(monotonicity,[status(thm)],[7315])).
% 4.48/3.34 tff(7317,plain,
% 4.48/3.34 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s86, s87)) | (~m_main_v_state2(s86, c_t2)) | m_main_v_state2(s87, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s86, c_t2)) | m_main_v_state2(s87, c_t2) | (~node13(s86, s87)))),
% 4.48/3.34 inference(transitivity,[status(thm)],[7316, 7314])).
% 4.48/3.34 tff(7318,plain,
% 4.48/3.34 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s86, s87)) | (~m_main_v_state2(s86, c_t2)) | m_main_v_state2(s87, c_t2))),
% 4.48/3.34 inference(quant_inst,[status(thm)],[])).
% 4.48/3.34 tff(7319,plain,
% 4.48/3.34 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s86, c_t2)) | m_main_v_state2(s87, c_t2) | (~node13(s86, s87))),
% 4.48/3.34 inference(modus_ponens,[status(thm)],[7318, 7317])).
% 4.48/3.34 tff(7320,plain,
% 4.48/3.34 (m_main_v_state2(s87, c_t2)),
% 4.48/3.34 inference(unit_resolution,[status(thm)],[7319, 518, 7217, 7313])).
% 4.48/3.34 tff(7321,plain,
% 4.48/3.34 (succ(s87, s88) <=> succ(s87, s88)),
% 4.48/3.34 inference(rewrite,[status(thm)],[])).
% 4.48/3.34 tff(7322,axiom,(succ(s87, s88)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound88')).
% 4.48/3.34 tff(7323,plain,
% 4.48/3.34 (succ(s87, s88)),
% 4.48/3.34 inference(modus_ponens,[status(thm)],[7322, 7321])).
% 4.48/3.34 tff(7324,plain,
% 4.48/3.34 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s87, s88)) | trans(s87, s88))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s87, s88)) | trans(s87, s88))),
% 4.48/3.34 inference(rewrite,[status(thm)],[])).
% 4.48/3.34 tff(7325,plain,
% 4.48/3.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s87, s88)) | trans(s87, s88))),
% 4.48/3.34 inference(quant_inst,[status(thm)],[])).
% 4.48/3.34 tff(7326,plain,
% 4.48/3.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s87, s88)) | trans(s87, s88)),
% 4.48/3.34 inference(modus_ponens,[status(thm)],[7325, 7324])).
% 4.48/3.34 tff(7327,plain,
% 4.48/3.34 (trans(s87, s88)),
% 4.48/3.34 inference(unit_resolution,[status(thm)],[7326, 7323, 32])).
% 4.48/3.34 tff(7328,plain,
% 4.48/3.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s87, s88)) | node7(s87, s88))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s87, s88)) | node7(s87, s88))),
% 4.48/3.34 inference(rewrite,[status(thm)],[])).
% 4.48/3.34 tff(7329,plain,
% 4.48/3.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s87, s88)) | node7(s87, s88))),
% 4.48/3.34 inference(quant_inst,[status(thm)],[])).
% 4.48/3.34 tff(7330,plain,
% 4.48/3.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s87, s88)) | node7(s87, s88)),
% 4.48/3.34 inference(modus_ponens,[status(thm)],[7329, 7328])).
% 4.48/3.34 tff(7331,plain,
% 4.48/3.34 (node7(s87, s88)),
% 4.48/3.34 inference(unit_resolution,[status(thm)],[7330, 206, 7327])).
% 4.48/3.34 tff(7332,plain,
% 4.48/3.34 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s87, c_n1)) | (~m_main_v_state2(s87, c_t2)) | (~node7(s87, s88)) | m_main_v_state1(s88, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s87, c_n1)) | (~m_main_v_state2(s87, c_t2)) | (~node7(s87, s88)) | m_main_v_state1(s88, c_t1))),
% 4.48/3.34 inference(rewrite,[status(thm)],[])).
% 4.48/3.34 tff(7333,plain,
% 4.48/3.34 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s87, c_n1)) | (~m_main_v_state2(s87, c_t2)) | (~node7(s87, s88)) | m_main_v_state1(s88, c_t1))),
% 4.48/3.34 inference(quant_inst,[status(thm)],[])).
% 4.48/3.34 tff(7334,plain,
% 4.48/3.34 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s87, c_n1)) | (~m_main_v_state2(s87, c_t2)) | (~node7(s87, s88)) | m_main_v_state1(s88, c_t1)),
% 4.48/3.34 inference(modus_ponens,[status(thm)],[7333, 7332])).
% 4.48/3.34 tff(7335,plain,
% 4.48/3.34 ((~m_main_v_state1(s87, c_n1)) | (~m_main_v_state2(s87, c_t2)) | m_main_v_state1(s88, c_t1)),
% 4.48/3.34 inference(unit_resolution,[status(thm)],[7334, 651, 7331])).
% 4.48/3.34 tff(7336,plain,
% 4.48/3.34 (m_main_v_state1(s88, c_t1)),
% 4.48/3.34 inference(unit_resolution,[status(thm)],[7335, 7320, 7264])).
% 4.48/3.34 tff(7337,plain,
% 4.48/3.34 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s88, c_n1)) | (~m_main_v_state1(s88, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s88, c_n1)) | (~m_main_v_state1(s88, c_t1)))),
% 4.48/3.34 inference(rewrite,[status(thm)],[])).
% 4.48/3.34 tff(7338,plain,
% 4.48/3.34 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s88, c_n1)) | (~m_main_v_state1(s88, c_t1)))),
% 4.48/3.34 inference(quant_inst,[status(thm)],[])).
% 4.48/3.34 tff(7339,plain,
% 4.48/3.34 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s88, c_n1)) | (~m_main_v_state1(s88, c_t1))),
% 4.48/3.34 inference(modus_ponens,[status(thm)],[7338, 7337])).
% 4.48/3.34 tff(7340,plain,
% 4.48/3.34 (~m_main_v_state1(s88, c_n1)),
% 4.48/3.34 inference(unit_resolution,[status(thm)],[7339, 10, 7336])).
% 4.48/3.34 tff(7341,plain,
% 4.48/3.34 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s88, c_n1) | (~node1(s88)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s88, c_n1) | (~node1(s88)))),
% 4.48/3.34 inference(rewrite,[status(thm)],[])).
% 4.48/3.34 tff(7342,plain,
% 4.48/3.34 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s88, c_n1) | (~node1(s88)))),
% 4.48/3.34 inference(quant_inst,[status(thm)],[])).
% 4.48/3.34 tff(7343,plain,
% 4.48/3.34 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s88, c_n1) | (~node1(s88))),
% 4.48/3.34 inference(modus_ponens,[status(thm)],[7342, 7341])).
% 4.48/3.34 tff(7344,plain,
% 4.48/3.34 (~node1(s88)),
% 4.48/3.34 inference(unit_resolution,[status(thm)],[7343, 421, 7340])).
% 4.48/3.34 tff(7345,plain,
% 4.48/3.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s87, s88)) | node18(s87, s88))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s87, s88)) | node18(s87, s88))),
% 4.48/3.34 inference(rewrite,[status(thm)],[])).
% 4.48/3.34 tff(7346,plain,
% 4.48/3.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s87, s88)) | node18(s87, s88))),
% 4.48/3.34 inference(quant_inst,[status(thm)],[])).
% 4.48/3.34 tff(7347,plain,
% 4.48/3.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s87, s88)) | node18(s87, s88)),
% 4.48/3.34 inference(modus_ponens,[status(thm)],[7346, 7345])).
% 4.48/3.34 tff(7348,plain,
% 4.48/3.34 (node18(s87, s88)),
% 4.48/3.34 inference(unit_resolution,[status(thm)],[7347, 125, 7327])).
% 4.48/3.34 tff(7349,plain,
% 4.48/3.34 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s87, c_n1)) | (~m_main_v_state2(s87, c_t2)) | (~node18(s87, s88)) | m_main_v_turn(s88, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s87, c_n1)) | (~m_main_v_state2(s87, c_t2)) | (~node18(s87, s88)) | m_main_v_turn(s88, c_2))),
% 4.48/3.34 inference(rewrite,[status(thm)],[])).
% 4.48/3.34 tff(7350,plain,
% 4.48/3.34 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s87, c_n1)) | (~m_main_v_state2(s87, c_t2)) | (~node18(s87, s88)) | m_main_v_turn(s88, c_2))),
% 4.48/3.34 inference(quant_inst,[status(thm)],[])).
% 4.48/3.34 tff(7351,plain,
% 4.48/3.34 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s87, c_n1)) | (~m_main_v_state2(s87, c_t2)) | (~node18(s87, s88)) | m_main_v_turn(s88, c_2)),
% 4.48/3.34 inference(modus_ponens,[status(thm)],[7350, 7349])).
% 4.48/3.34 tff(7352,plain,
% 4.48/3.34 ((~m_main_v_state1(s87, c_n1)) | (~m_main_v_state2(s87, c_t2)) | m_main_v_turn(s88, c_2)),
% 4.48/3.34 inference(unit_resolution,[status(thm)],[7351, 760, 7348])).
% 4.48/3.34 tff(7353,plain,
% 4.48/3.34 (m_main_v_turn(s88, c_2)),
% 4.48/3.34 inference(unit_resolution,[status(thm)],[7352, 7320, 7264])).
% 4.48/3.34 tff(7354,plain,
% 4.48/3.34 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s88, c_1)) | (~m_main_v_turn(s88, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s88, c_1)) | (~m_main_v_turn(s88, c_2)))),
% 4.48/3.34 inference(rewrite,[status(thm)],[])).
% 4.48/3.34 tff(7355,plain,
% 4.48/3.34 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s88, c_1)) | (~m_main_v_turn(s88, c_2)))),
% 4.48/3.34 inference(quant_inst,[status(thm)],[])).
% 4.48/3.34 tff(7356,plain,
% 4.48/3.34 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s88, c_1)) | (~m_main_v_turn(s88, c_2))),
% 4.48/3.34 inference(modus_ponens,[status(thm)],[7355, 7354])).
% 4.48/3.34 tff(7357,plain,
% 4.48/3.34 (~m_main_v_turn(s88, c_1)),
% 4.48/3.34 inference(unit_resolution,[status(thm)],[7356, 156, 7353])).
% 4.48/3.34 tff(7358,plain,
% 4.48/3.34 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s88, c_1) | (~node5(s88)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s88, c_1) | (~node5(s88)))),
% 4.48/3.34 inference(rewrite,[status(thm)],[])).
% 4.48/3.34 tff(7359,plain,
% 4.48/3.34 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s88, c_1) | (~node5(s88)))),
% 4.48/3.34 inference(quant_inst,[status(thm)],[])).
% 4.48/3.34 tff(7360,plain,
% 4.48/3.34 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s88, c_1) | (~node5(s88))),
% 4.48/3.34 inference(modus_ponens,[status(thm)],[7359, 7358])).
% 4.48/3.34 tff(7361,plain,
% 4.48/3.34 (~node5(s88)),
% 4.48/3.34 inference(unit_resolution,[status(thm)],[7360, 776, 7357])).
% 4.48/3.34 tff(7362,plain,
% 4.48/3.34 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s88, c_n1) | (~node2(s88)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s88, c_n1) | (~node2(s88)))),
% 4.48/3.34 inference(rewrite,[status(thm)],[])).
% 4.48/3.34 tff(7363,plain,
% 4.48/3.34 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s88, c_n1) | (~node2(s88)))),
% 4.48/3.34 inference(quant_inst,[status(thm)],[])).
% 4.48/3.34 tff(7364,plain,
% 4.48/3.34 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s88, c_n1) | (~node2(s88))),
% 4.48/3.34 inference(modus_ponens,[status(thm)],[7363, 7362])).
% 4.48/3.34 tff(7365,plain,
% 4.48/3.34 (~node2(s88)),
% 4.48/3.34 inference(unit_resolution,[status(thm)],[7364, 787, 7340])).
% 4.48/3.34 tff(7366,plain,
% 4.48/3.34 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s88, c_n1) | (~node3(s88)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s88, c_n1) | (~node3(s88)))),
% 4.48/3.34 inference(rewrite,[status(thm)],[])).
% 4.48/3.34 tff(7367,plain,
% 4.48/3.34 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s88, c_n1) | (~node3(s88)))),
% 4.48/3.34 inference(quant_inst,[status(thm)],[])).
% 4.48/3.34 tff(7368,plain,
% 4.48/3.34 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s88, c_n1) | (~node3(s88))),
% 4.48/3.34 inference(modus_ponens,[status(thm)],[7367, 7366])).
% 4.48/3.34 tff(7369,plain,
% 4.48/3.34 (~node3(s88)),
% 4.48/3.34 inference(unit_resolution,[status(thm)],[7368, 798, 7340])).
% 4.48/3.34 tff(7370,plain,
% 4.48/3.34 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s88, c_t1)) | (~m_main_v_state1(s88, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s88, c_t1)) | (~m_main_v_state1(s88, c_c1)))),
% 4.48/3.34 inference(rewrite,[status(thm)],[])).
% 4.48/3.34 tff(7371,plain,
% 4.48/3.34 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s88, c_t1)) | (~m_main_v_state1(s88, c_c1)))),
% 4.48/3.34 inference(quant_inst,[status(thm)],[])).
% 4.48/3.34 tff(7372,plain,
% 4.48/3.34 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s88, c_t1)) | (~m_main_v_state1(s88, c_c1))),
% 4.48/3.34 inference(modus_ponens,[status(thm)],[7371, 7370])).
% 4.48/3.34 tff(7373,plain,
% 4.48/3.34 (~m_main_v_state1(s88, c_c1)),
% 4.48/3.34 inference(unit_resolution,[status(thm)],[7372, 539, 7336])).
% 4.48/3.34 tff(7374,plain,
% 4.48/3.34 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s86, c_n2) | (~m_main_v_state2(s87, c_n2)) | (~node13(s86, s87)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s86, c_n2) | (~m_main_v_state2(s87, c_n2)) | (~node13(s86, s87)))),
% 4.48/3.34 inference(rewrite,[status(thm)],[])).
% 4.48/3.34 tff(7375,plain,
% 4.48/3.34 (((~node13(s86, s87)) | m_main_v_state2(s86, c_n2) | (~m_main_v_state2(s87, c_n2))) <=> (m_main_v_state2(s86, c_n2) | (~m_main_v_state2(s87, c_n2)) | (~node13(s86, s87)))),
% 4.48/3.34 inference(rewrite,[status(thm)],[])).
% 4.48/3.34 tff(7376,plain,
% 4.48/3.34 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s86, s87)) | m_main_v_state2(s86, c_n2) | (~m_main_v_state2(s87, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s86, c_n2) | (~m_main_v_state2(s87, c_n2)) | (~node13(s86, s87))))),
% 4.48/3.34 inference(monotonicity,[status(thm)],[7375])).
% 4.48/3.34 tff(7377,plain,
% 4.48/3.34 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s86, s87)) | m_main_v_state2(s86, c_n2) | (~m_main_v_state2(s87, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s86, c_n2) | (~m_main_v_state2(s87, c_n2)) | (~node13(s86, s87)))),
% 4.48/3.34 inference(transitivity,[status(thm)],[7376, 7374])).
% 4.48/3.34 tff(7378,plain,
% 4.48/3.34 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s86, s87)) | m_main_v_state2(s86, c_n2) | (~m_main_v_state2(s87, c_n2)))),
% 4.48/3.34 inference(quant_inst,[status(thm)],[])).
% 4.48/3.34 tff(7379,plain,
% 4.48/3.34 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s86, c_n2) | (~m_main_v_state2(s87, c_n2)) | (~node13(s86, s87))),
% 4.48/3.34 inference(modus_ponens,[status(thm)],[7378, 7377])).
% 4.48/3.34 tff(7380,plain,
% 4.48/3.34 (~m_main_v_state2(s87, c_n2)),
% 4.48/3.34 inference(unit_resolution,[status(thm)],[7379, 311, 7221, 7313])).
% 4.48/3.34 tff(7381,plain,
% 4.48/3.34 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s87, c_n2) | (~node9(s87)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s87, c_n2) | (~node9(s87)))),
% 4.48/3.34 inference(rewrite,[status(thm)],[])).
% 4.48/3.34 tff(7382,plain,
% 4.48/3.34 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s87, c_n2) | (~node9(s87)))),
% 4.48/3.34 inference(quant_inst,[status(thm)],[])).
% 4.48/3.34 tff(7383,plain,
% 4.48/3.34 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s87, c_n2) | (~node9(s87))),
% 4.48/3.34 inference(modus_ponens,[status(thm)],[7382, 7381])).
% 4.48/3.34 tff(7384,plain,
% 4.48/3.34 (~node9(s87)),
% 4.48/3.34 inference(unit_resolution,[status(thm)],[7383, 88, 7380])).
% 4.48/3.34 tff(7385,plain,
% 4.48/3.34 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s87, c_n2) | (~node10(s87)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s87, c_n2) | (~node10(s87)))),
% 4.48/3.34 inference(rewrite,[status(thm)],[])).
% 4.48/3.34 tff(7386,plain,
% 4.48/3.34 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s87, c_n2) | (~node10(s87)))),
% 4.48/3.34 inference(quant_inst,[status(thm)],[])).
% 4.48/3.34 tff(7387,plain,
% 4.48/3.34 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s87, c_n2) | (~node10(s87))),
% 4.48/3.34 inference(modus_ponens,[status(thm)],[7386, 7385])).
% 4.48/3.34 tff(7388,plain,
% 4.48/3.34 (~node10(s87)),
% 4.48/3.34 inference(unit_resolution,[status(thm)],[7387, 249, 7380])).
% 4.48/3.34 tff(7389,plain,
% 4.48/3.34 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s87, c_n2) | (~node8(s87)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s87, c_n2) | (~node8(s87)))),
% 4.48/3.34 inference(rewrite,[status(thm)],[])).
% 4.48/3.34 tff(7390,plain,
% 4.48/3.34 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s87, c_n2) | (~node8(s87)))),
% 4.48/3.34 inference(quant_inst,[status(thm)],[])).
% 4.48/3.34 tff(7391,plain,
% 4.48/3.34 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s87, c_n2) | (~node8(s87))),
% 4.48/3.34 inference(modus_ponens,[status(thm)],[7390, 7389])).
% 4.48/3.34 tff(7392,plain,
% 4.48/3.34 (~node8(s87)),
% 4.48/3.34 inference(unit_resolution,[status(thm)],[7391, 271, 7380])).
% 4.48/3.34 tff(7393,plain,
% 4.48/3.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s87, s88)) | node14(s87, s88))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s87, s88)) | node14(s87, s88))),
% 4.48/3.34 inference(rewrite,[status(thm)],[])).
% 4.48/3.34 tff(7394,plain,
% 4.48/3.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s87, s88)) | node14(s87, s88))),
% 4.48/3.34 inference(quant_inst,[status(thm)],[])).
% 4.48/3.34 tff(7395,plain,
% 4.48/3.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s87, s88)) | node14(s87, s88)),
% 4.48/3.34 inference(modus_ponens,[status(thm)],[7394, 7393])).
% 4.48/3.34 tff(7396,plain,
% 4.48/3.34 (node14(s87, s88)),
% 4.48/3.34 inference(unit_resolution,[status(thm)],[7395, 46, 7327])).
% 4.48/3.34 tff(7397,plain,
% 4.48/3.34 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s87, c_n1)) | (~m_main_v_state2(s87, c_t2)) | node9(s87) | node8(s87) | node10(s87) | (~node14(s87, s88)) | m_main_v_state2(s88, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s87, c_n1)) | (~m_main_v_state2(s87, c_t2)) | node9(s87) | node8(s87) | node10(s87) | (~node14(s87, s88)) | m_main_v_state2(s88, c_c2))),
% 4.48/3.34 inference(rewrite,[status(thm)],[])).
% 4.48/3.34 tff(7398,plain,
% 4.48/3.34 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s87, c_n1)) | (~m_main_v_state2(s87, c_t2)) | node9(s87) | node8(s87) | node10(s87) | (~node14(s87, s88)) | m_main_v_state2(s88, c_c2))),
% 4.48/3.34 inference(quant_inst,[status(thm)],[])).
% 4.48/3.34 tff(7399,plain,
% 4.48/3.34 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s87, c_n1)) | (~m_main_v_state2(s87, c_t2)) | node9(s87) | node8(s87) | node10(s87) | (~node14(s87, s88)) | m_main_v_state2(s88, c_c2)),
% 4.48/3.34 inference(modus_ponens,[status(thm)],[7398, 7397])).
% 4.48/3.34 tff(7400,plain,
% 4.48/3.34 ((~m_main_v_state1(s87, c_n1)) | (~m_main_v_state2(s87, c_t2)) | node9(s87) | node8(s87) | node10(s87) | m_main_v_state2(s88, c_c2)),
% 4.48/3.34 inference(unit_resolution,[status(thm)],[7399, 617, 7396])).
% 4.48/3.34 tff(7401,plain,
% 4.48/3.34 (m_main_v_state2(s88, c_c2)),
% 4.48/3.34 inference(unit_resolution,[status(thm)],[7400, 7392, 7264, 7320, 7388, 7384])).
% 4.48/3.34 tff(7402,plain,
% 4.48/3.34 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s88, c_n2)) | (~m_main_v_state2(s88, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s88, c_n2)) | (~m_main_v_state2(s88, c_c2)))),
% 4.48/3.34 inference(rewrite,[status(thm)],[])).
% 4.48/3.34 tff(7403,plain,
% 4.48/3.34 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s88, c_n2)) | (~m_main_v_state2(s88, c_c2)))),
% 4.48/3.34 inference(quant_inst,[status(thm)],[])).
% 4.48/3.34 tff(7404,plain,
% 4.48/3.34 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s88, c_n2)) | (~m_main_v_state2(s88, c_c2))),
% 4.48/3.34 inference(modus_ponens,[status(thm)],[7403, 7402])).
% 4.48/3.34 tff(7405,plain,
% 4.48/3.34 (~m_main_v_state2(s88, c_n2)),
% 4.48/3.34 inference(unit_resolution,[status(thm)],[7404, 697, 7401])).
% 4.48/3.34 tff(7406,plain,
% 4.48/3.34 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s88, c_n2) | (~node4(s88)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s88, c_n2) | (~node4(s88)))),
% 4.48/3.34 inference(rewrite,[status(thm)],[])).
% 4.48/3.34 tff(7407,plain,
% 4.48/3.34 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s88, c_n2) | (~node4(s88)))),
% 4.48/3.34 inference(quant_inst,[status(thm)],[])).
% 4.48/3.34 tff(7408,plain,
% 4.48/3.34 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s88, c_n2) | (~node4(s88))),
% 4.48/3.34 inference(modus_ponens,[status(thm)],[7407, 7406])).
% 4.48/3.34 tff(7409,plain,
% 4.48/3.34 (~node4(s88)),
% 4.48/3.34 inference(unit_resolution,[status(thm)],[7408, 388, 7405])).
% 4.48/3.34 tff(7410,plain,
% 4.48/3.34 (succ(s88, s89) <=> succ(s88, s89)),
% 4.48/3.34 inference(rewrite,[status(thm)],[])).
% 4.48/3.34 tff(7411,axiom,(succ(s88, s89)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound89')).
% 4.48/3.34 tff(7412,plain,
% 4.48/3.34 (succ(s88, s89)),
% 4.48/3.34 inference(modus_ponens,[status(thm)],[7411, 7410])).
% 4.48/3.34 tff(7413,plain,
% 4.48/3.34 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s88, s89)) | trans(s88, s89))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s88, s89)) | trans(s88, s89))),
% 4.48/3.34 inference(rewrite,[status(thm)],[])).
% 4.48/3.34 tff(7414,plain,
% 4.48/3.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s88, s89)) | trans(s88, s89))),
% 4.48/3.34 inference(quant_inst,[status(thm)],[])).
% 4.48/3.34 tff(7415,plain,
% 4.48/3.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s88, s89)) | trans(s88, s89)),
% 4.48/3.34 inference(modus_ponens,[status(thm)],[7414, 7413])).
% 4.48/3.34 tff(7416,plain,
% 4.48/3.34 (trans(s88, s89)),
% 4.48/3.34 inference(unit_resolution,[status(thm)],[7415, 7412, 32])).
% 4.48/3.34 tff(7417,plain,
% 4.48/3.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s88, s89)) | node7(s88, s89))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s88, s89)) | node7(s88, s89))),
% 4.48/3.34 inference(rewrite,[status(thm)],[])).
% 4.48/3.34 tff(7418,plain,
% 4.48/3.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s88, s89)) | node7(s88, s89))),
% 4.48/3.34 inference(quant_inst,[status(thm)],[])).
% 4.48/3.34 tff(7419,plain,
% 4.48/3.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s88, s89)) | node7(s88, s89)),
% 4.48/3.34 inference(modus_ponens,[status(thm)],[7418, 7417])).
% 4.48/3.34 tff(7420,plain,
% 4.48/3.34 (node7(s88, s89)),
% 4.48/3.34 inference(unit_resolution,[status(thm)],[7419, 206, 7416])).
% 4.48/3.34 tff(7421,plain,
% 4.48/3.34 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s88, c_c1) | node1(s88) | node2(s88) | node3(s88) | node4(s88) | node5(s88) | node6(s88, s89) | (~node7(s88, s89)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s88, c_c1) | node1(s88) | node2(s88) | node3(s88) | node4(s88) | node5(s88) | node6(s88, s89) | (~node7(s88, s89)))),
% 4.48/3.34 inference(rewrite,[status(thm)],[])).
% 4.48/3.34 tff(7422,plain,
% 4.48/3.34 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s88, c_c1) | node1(s88) | node2(s88) | node3(s88) | node4(s88) | node5(s88) | node6(s88, s89) | (~node7(s88, s89)))),
% 4.48/3.34 inference(quant_inst,[status(thm)],[])).
% 4.48/3.34 tff(7423,plain,
% 4.48/3.34 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s88, c_c1) | node1(s88) | node2(s88) | node3(s88) | node4(s88) | node5(s88) | node6(s88, s89) | (~node7(s88, s89))),
% 4.48/3.34 inference(modus_ponens,[status(thm)],[7422, 7421])).
% 4.48/3.34 tff(7424,plain,
% 4.48/3.34 (m_main_v_state1(s88, c_c1) | node1(s88) | node2(s88) | node3(s88) | node4(s88) | node5(s88) | node6(s88, s89)),
% 4.48/3.34 inference(unit_resolution,[status(thm)],[7423, 820, 7420])).
% 4.48/3.34 tff(7425,plain,
% 4.48/3.34 (node6(s88, s89)),
% 4.48/3.34 inference(unit_resolution,[status(thm)],[7424, 7409, 7373, 7369, 7365, 7361, 7344])).
% 4.48/3.34 tff(7426,plain,
% 4.48/3.34 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s88, c_t1)) | m_main_v_state1(s89, c_t1) | (~node6(s88, s89)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s88, c_t1)) | m_main_v_state1(s89, c_t1) | (~node6(s88, s89)))),
% 4.48/3.35 inference(rewrite,[status(thm)],[])).
% 4.48/3.35 tff(7427,plain,
% 4.48/3.35 (((~node6(s88, s89)) | (~m_main_v_state1(s88, c_t1)) | m_main_v_state1(s89, c_t1)) <=> ((~m_main_v_state1(s88, c_t1)) | m_main_v_state1(s89, c_t1) | (~node6(s88, s89)))),
% 4.48/3.35 inference(rewrite,[status(thm)],[])).
% 4.48/3.35 tff(7428,plain,
% 4.48/3.35 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s88, s89)) | (~m_main_v_state1(s88, c_t1)) | m_main_v_state1(s89, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s88, c_t1)) | m_main_v_state1(s89, c_t1) | (~node6(s88, s89))))),
% 4.48/3.35 inference(monotonicity,[status(thm)],[7427])).
% 4.48/3.35 tff(7429,plain,
% 4.48/3.35 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s88, s89)) | (~m_main_v_state1(s88, c_t1)) | m_main_v_state1(s89, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s88, c_t1)) | m_main_v_state1(s89, c_t1) | (~node6(s88, s89)))),
% 4.48/3.35 inference(transitivity,[status(thm)],[7428, 7426])).
% 4.48/3.35 tff(7430,plain,
% 4.48/3.35 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s88, s89)) | (~m_main_v_state1(s88, c_t1)) | m_main_v_state1(s89, c_t1))),
% 4.48/3.35 inference(quant_inst,[status(thm)],[])).
% 4.48/3.35 tff(7431,plain,
% 4.48/3.35 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s88, c_t1)) | m_main_v_state1(s89, c_t1) | (~node6(s88, s89))),
% 4.48/3.35 inference(modus_ponens,[status(thm)],[7430, 7429])).
% 4.48/3.35 tff(7432,plain,
% 4.48/3.35 (m_main_v_state1(s89, c_t1)),
% 4.48/3.35 inference(unit_resolution,[status(thm)],[7431, 856, 7336, 7425])).
% 4.48/3.35 tff(7433,plain,
% 4.48/3.35 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s88, c_t2)) | (~m_main_v_state2(s88, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s88, c_t2)) | (~m_main_v_state2(s88, c_c2)))),
% 4.48/3.35 inference(rewrite,[status(thm)],[])).
% 4.48/3.35 tff(7434,plain,
% 4.48/3.35 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s88, c_t2)) | (~m_main_v_state2(s88, c_c2)))),
% 4.48/3.35 inference(quant_inst,[status(thm)],[])).
% 4.48/3.35 tff(7435,plain,
% 4.48/3.35 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s88, c_t2)) | (~m_main_v_state2(s88, c_c2))),
% 4.48/3.35 inference(modus_ponens,[status(thm)],[7434, 7433])).
% 4.48/3.35 tff(7436,plain,
% 4.48/3.35 (~m_main_v_state2(s88, c_t2)),
% 4.48/3.35 inference(unit_resolution,[status(thm)],[7435, 260, 7401])).
% 4.48/3.35 tff(7437,plain,
% 4.48/3.35 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s88, c_t2) | (~node12(s88)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s88, c_t2) | (~node12(s88)))),
% 4.48/3.35 inference(rewrite,[status(thm)],[])).
% 4.48/3.35 tff(7438,plain,
% 4.48/3.35 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s88, c_t2) | (~node12(s88)))),
% 4.48/3.35 inference(quant_inst,[status(thm)],[])).
% 4.48/3.35 tff(7439,plain,
% 4.48/3.35 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s88, c_t2) | (~node12(s88))),
% 4.48/3.35 inference(modus_ponens,[status(thm)],[7438, 7437])).
% 4.48/3.35 tff(7440,plain,
% 4.48/3.35 (~node12(s88)),
% 4.48/3.35 inference(unit_resolution,[status(thm)],[7439, 633, 7436])).
% 4.48/3.35 tff(7441,plain,
% 4.48/3.35 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s88, c_n1) | (~node11(s88)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s88, c_n1) | (~node11(s88)))),
% 4.48/3.35 inference(rewrite,[status(thm)],[])).
% 4.48/3.35 tff(7442,plain,
% 4.48/3.35 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s88, c_n1) | (~node11(s88)))),
% 4.48/3.35 inference(quant_inst,[status(thm)],[])).
% 4.48/3.35 tff(7443,plain,
% 4.48/3.35 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s88, c_n1) | (~node11(s88))),
% 4.48/3.35 inference(modus_ponens,[status(thm)],[7442, 7441])).
% 4.48/3.35 tff(7444,plain,
% 4.48/3.35 (~node11(s88)),
% 4.48/3.35 inference(unit_resolution,[status(thm)],[7443, 238, 7340])).
% 4.48/3.35 tff(7445,plain,
% 4.48/3.35 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s88, c_c1) | (~node10(s88)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s88, c_c1) | (~node10(s88)))),
% 4.48/3.35 inference(rewrite,[status(thm)],[])).
% 4.48/3.35 tff(7446,plain,
% 4.48/3.35 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s88, c_c1) | (~node10(s88)))),
% 4.48/3.35 inference(quant_inst,[status(thm)],[])).
% 4.48/3.35 tff(7447,plain,
% 4.48/3.35 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s88, c_c1) | (~node10(s88))),
% 4.48/3.35 inference(modus_ponens,[status(thm)],[7446, 7445])).
% 4.48/3.35 tff(7448,plain,
% 4.48/3.35 (~node10(s88)),
% 4.48/3.35 inference(unit_resolution,[status(thm)],[7447, 675, 7373])).
% 4.48/3.35 tff(7449,plain,
% 4.48/3.35 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s88, c_n1) | (~node9(s88)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s88, c_n1) | (~node9(s88)))),
% 4.48/3.35 inference(rewrite,[status(thm)],[])).
% 4.48/3.35 tff(7450,plain,
% 4.48/3.35 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s88, c_n1) | (~node9(s88)))),
% 4.48/3.35 inference(quant_inst,[status(thm)],[])).
% 4.48/3.35 tff(7451,plain,
% 4.48/3.35 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s88, c_n1) | (~node9(s88))),
% 4.48/3.35 inference(modus_ponens,[status(thm)],[7450, 7449])).
% 4.48/3.35 tff(7452,plain,
% 4.48/3.35 (~node9(s88)),
% 4.48/3.35 inference(unit_resolution,[status(thm)],[7451, 686, 7340])).
% 4.48/3.35 tff(7453,plain,
% 4.48/3.35 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s88, c_n2) | (~node8(s88)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s88, c_n2) | (~node8(s88)))),
% 4.48/3.35 inference(rewrite,[status(thm)],[])).
% 4.48/3.35 tff(7454,plain,
% 4.48/3.35 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s88, c_n2) | (~node8(s88)))),
% 4.48/3.35 inference(quant_inst,[status(thm)],[])).
% 4.48/3.35 tff(7455,plain,
% 4.48/3.35 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s88, c_n2) | (~node8(s88))),
% 4.48/3.35 inference(modus_ponens,[status(thm)],[7454, 7453])).
% 4.48/3.35 tff(7456,plain,
% 4.48/3.35 (~node8(s88)),
% 4.48/3.35 inference(unit_resolution,[status(thm)],[7455, 271, 7405])).
% 4.48/3.35 tff(7457,plain,
% 4.48/3.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s88, s89)) | node14(s88, s89))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s88, s89)) | node14(s88, s89))),
% 4.48/3.35 inference(rewrite,[status(thm)],[])).
% 4.48/3.35 tff(7458,plain,
% 4.48/3.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s88, s89)) | node14(s88, s89))),
% 4.48/3.35 inference(quant_inst,[status(thm)],[])).
% 4.48/3.35 tff(7459,plain,
% 4.48/3.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s88, s89)) | node14(s88, s89)),
% 4.48/3.35 inference(modus_ponens,[status(thm)],[7458, 7457])).
% 4.48/3.35 tff(7460,plain,
% 4.48/3.35 (node14(s88, s89)),
% 4.48/3.35 inference(unit_resolution,[status(thm)],[7459, 46, 7416])).
% 4.48/3.35 tff(7461,plain,
% 4.48/3.35 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s89, c_n2) | node9(s88) | node8(s88) | node10(s88) | node11(s88) | node12(s88) | (~node14(s88, s89)) | (~m_main_v_state2(s88, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s89, c_n2) | node9(s88) | node8(s88) | node10(s88) | node11(s88) | node12(s88) | (~node14(s88, s89)) | (~m_main_v_state2(s88, c_c2)))),
% 4.48/3.35 inference(rewrite,[status(thm)],[])).
% 4.48/3.35 tff(7462,plain,
% 4.48/3.35 (((~m_main_v_state2(s88, c_c2)) | node9(s88) | node8(s88) | node10(s88) | node11(s88) | node12(s88) | (~node14(s88, s89)) | m_main_v_state2(s89, c_n2)) <=> (m_main_v_state2(s89, c_n2) | node9(s88) | node8(s88) | node10(s88) | node11(s88) | node12(s88) | (~node14(s88, s89)) | (~m_main_v_state2(s88, c_c2)))),
% 4.48/3.35 inference(rewrite,[status(thm)],[])).
% 4.48/3.35 tff(7463,plain,
% 4.48/3.35 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s88, c_c2)) | node9(s88) | node8(s88) | node10(s88) | node11(s88) | node12(s88) | (~node14(s88, s89)) | m_main_v_state2(s89, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s89, c_n2) | node9(s88) | node8(s88) | node10(s88) | node11(s88) | node12(s88) | (~node14(s88, s89)) | (~m_main_v_state2(s88, c_c2))))),
% 4.48/3.35 inference(monotonicity,[status(thm)],[7462])).
% 4.48/3.35 tff(7464,plain,
% 4.48/3.35 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s88, c_c2)) | node9(s88) | node8(s88) | node10(s88) | node11(s88) | node12(s88) | (~node14(s88, s89)) | m_main_v_state2(s89, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s89, c_n2) | node9(s88) | node8(s88) | node10(s88) | node11(s88) | node12(s88) | (~node14(s88, s89)) | (~m_main_v_state2(s88, c_c2)))),
% 4.48/3.35 inference(transitivity,[status(thm)],[7463, 7461])).
% 4.48/3.35 tff(7465,plain,
% 4.48/3.35 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s88, c_c2)) | node9(s88) | node8(s88) | node10(s88) | node11(s88) | node12(s88) | (~node14(s88, s89)) | m_main_v_state2(s89, c_n2))),
% 4.48/3.35 inference(quant_inst,[status(thm)],[])).
% 4.48/3.35 tff(7466,plain,
% 4.48/3.35 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s89, c_n2) | node9(s88) | node8(s88) | node10(s88) | node11(s88) | node12(s88) | (~node14(s88, s89)) | (~m_main_v_state2(s88, c_c2))),
% 4.48/3.35 inference(modus_ponens,[status(thm)],[7465, 7464])).
% 4.48/3.35 tff(7467,plain,
% 4.48/3.35 (m_main_v_state2(s89, c_n2) | node9(s88) | node8(s88) | node10(s88) | node11(s88) | node12(s88) | (~m_main_v_state2(s88, c_c2))),
% 4.48/3.35 inference(unit_resolution,[status(thm)],[7466, 726, 7460])).
% 4.48/3.35 tff(7468,plain,
% 4.48/3.35 (m_main_v_state2(s89, c_n2)),
% 4.48/3.35 inference(unit_resolution,[status(thm)],[7467, 7456, 7401, 7452, 7448, 7444, 7440])).
% 4.48/3.35 tff(7469,plain,
% 4.48/3.35 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s89, c_n2)) | (~m_main_v_state2(s89, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s89, c_n2)) | (~m_main_v_state2(s89, c_t2)))),
% 4.48/3.35 inference(rewrite,[status(thm)],[])).
% 4.48/3.35 tff(7470,plain,
% 4.48/3.35 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s89, c_n2)) | (~m_main_v_state2(s89, c_t2)))),
% 4.48/3.35 inference(quant_inst,[status(thm)],[])).
% 4.48/3.35 tff(7471,plain,
% 4.48/3.35 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s89, c_n2)) | (~m_main_v_state2(s89, c_t2))),
% 4.48/3.35 inference(modus_ponens,[status(thm)],[7470, 7469])).
% 4.48/3.35 tff(7472,plain,
% 4.48/3.35 (~m_main_v_state2(s89, c_t2)),
% 4.48/3.35 inference(unit_resolution,[status(thm)],[7471, 77, 7468])).
% 4.48/3.35 tff(7473,plain,
% 4.48/3.35 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s89, c_t2) | (~node15(s89)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s89, c_t2) | (~node15(s89)))),
% 4.48/3.35 inference(rewrite,[status(thm)],[])).
% 4.48/3.35 tff(7474,plain,
% 4.48/3.35 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s89, c_t2) | (~node15(s89)))),
% 4.48/3.35 inference(quant_inst,[status(thm)],[])).
% 4.48/3.35 tff(7475,plain,
% 4.48/3.35 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s89, c_t2) | (~node15(s89))),
% 4.48/3.35 inference(modus_ponens,[status(thm)],[7474, 7473])).
% 4.48/3.35 tff(7476,plain,
% 4.48/3.35 (~node15(s89)),
% 4.48/3.35 inference(unit_resolution,[status(thm)],[7475, 103, 7472])).
% 4.48/3.35 tff(7477,plain,
% 4.48/3.35 (succ(s89, s90) <=> succ(s89, s90)),
% 4.48/3.35 inference(rewrite,[status(thm)],[])).
% 4.48/3.35 tff(7478,axiom,(succ(s89, s90)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound90')).
% 4.48/3.35 tff(7479,plain,
% 4.48/3.35 (succ(s89, s90)),
% 4.48/3.35 inference(modus_ponens,[status(thm)],[7478, 7477])).
% 4.48/3.35 tff(7480,plain,
% 4.48/3.35 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s89, s90)) | trans(s89, s90))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s89, s90)) | trans(s89, s90))),
% 4.48/3.35 inference(rewrite,[status(thm)],[])).
% 4.48/3.35 tff(7481,plain,
% 4.48/3.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s89, s90)) | trans(s89, s90))),
% 4.48/3.35 inference(quant_inst,[status(thm)],[])).
% 4.48/3.35 tff(7482,plain,
% 4.48/3.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s89, s90)) | trans(s89, s90)),
% 4.48/3.35 inference(modus_ponens,[status(thm)],[7481, 7480])).
% 4.48/3.35 tff(7483,plain,
% 4.48/3.35 (trans(s89, s90)),
% 4.48/3.35 inference(unit_resolution,[status(thm)],[7482, 7479, 32])).
% 4.48/3.35 tff(7484,plain,
% 4.48/3.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s89, s90)) | node18(s89, s90))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s89, s90)) | node18(s89, s90))),
% 4.48/3.35 inference(rewrite,[status(thm)],[])).
% 4.48/3.35 tff(7485,plain,
% 4.48/3.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s89, s90)) | node18(s89, s90))),
% 4.48/3.35 inference(quant_inst,[status(thm)],[])).
% 4.48/3.35 tff(7486,plain,
% 4.48/3.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s89, s90)) | node18(s89, s90)),
% 4.48/3.35 inference(modus_ponens,[status(thm)],[7485, 7484])).
% 4.48/3.35 tff(7487,plain,
% 4.48/3.35 (node18(s89, s90)),
% 4.48/3.35 inference(unit_resolution,[status(thm)],[7486, 125, 7483])).
% 4.48/3.35 tff(7488,plain,
% 4.48/3.35 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s89) | (~node18(s89, s90)) | (~m_main_v_state1(s89, c_t1)) | (~m_main_v_state2(s89, c_n2)) | m_main_v_turn(s90, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s89) | (~node18(s89, s90)) | (~m_main_v_state1(s89, c_t1)) | (~m_main_v_state2(s89, c_n2)) | m_main_v_turn(s90, c_1))),
% 4.48/3.35 inference(rewrite,[status(thm)],[])).
% 4.48/3.35 tff(7489,plain,
% 4.48/3.35 (((~m_main_v_state1(s89, c_t1)) | (~m_main_v_state2(s89, c_n2)) | node15(s89) | (~node18(s89, s90)) | m_main_v_turn(s90, c_1)) <=> (node15(s89) | (~node18(s89, s90)) | (~m_main_v_state1(s89, c_t1)) | (~m_main_v_state2(s89, c_n2)) | m_main_v_turn(s90, c_1))),
% 4.48/3.35 inference(rewrite,[status(thm)],[])).
% 4.48/3.35 tff(7490,plain,
% 4.48/3.35 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s89, c_t1)) | (~m_main_v_state2(s89, c_n2)) | node15(s89) | (~node18(s89, s90)) | m_main_v_turn(s90, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s89) | (~node18(s89, s90)) | (~m_main_v_state1(s89, c_t1)) | (~m_main_v_state2(s89, c_n2)) | m_main_v_turn(s90, c_1)))),
% 4.48/3.35 inference(monotonicity,[status(thm)],[7489])).
% 4.48/3.35 tff(7491,plain,
% 4.48/3.35 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s89, c_t1)) | (~m_main_v_state2(s89, c_n2)) | node15(s89) | (~node18(s89, s90)) | m_main_v_turn(s90, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s89) | (~node18(s89, s90)) | (~m_main_v_state1(s89, c_t1)) | (~m_main_v_state2(s89, c_n2)) | m_main_v_turn(s90, c_1))),
% 4.48/3.35 inference(transitivity,[status(thm)],[7490, 7488])).
% 4.48/3.35 tff(7492,plain,
% 4.48/3.35 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s89, c_t1)) | (~m_main_v_state2(s89, c_n2)) | node15(s89) | (~node18(s89, s90)) | m_main_v_turn(s90, c_1))),
% 4.48/3.35 inference(quant_inst,[status(thm)],[])).
% 4.48/3.35 tff(7493,plain,
% 4.48/3.35 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s89) | (~node18(s89, s90)) | (~m_main_v_state1(s89, c_t1)) | (~m_main_v_state2(s89, c_n2)) | m_main_v_turn(s90, c_1)),
% 4.48/3.35 inference(modus_ponens,[status(thm)],[7492, 7491])).
% 4.48/3.35 tff(7494,plain,
% 4.48/3.35 (node15(s89) | (~m_main_v_state1(s89, c_t1)) | (~m_main_v_state2(s89, c_n2)) | m_main_v_turn(s90, c_1)),
% 4.48/3.35 inference(unit_resolution,[status(thm)],[7493, 992, 7487])).
% 4.48/3.35 tff(7495,plain,
% 4.48/3.35 (m_main_v_turn(s90, c_1)),
% 4.48/3.35 inference(unit_resolution,[status(thm)],[7494, 7476, 7468, 7432])).
% 4.48/3.35 tff(7496,plain,
% 4.48/3.35 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s90, c_1)) | (~m_main_v_turn(s90, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s90, c_1)) | (~m_main_v_turn(s90, c_2)))),
% 4.48/3.35 inference(rewrite,[status(thm)],[])).
% 4.48/3.35 tff(7497,plain,
% 4.48/3.35 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s90, c_1)) | (~m_main_v_turn(s90, c_2)))),
% 4.48/3.35 inference(quant_inst,[status(thm)],[])).
% 4.48/3.35 tff(7498,plain,
% 4.48/3.35 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s90, c_1)) | (~m_main_v_turn(s90, c_2))),
% 4.48/3.35 inference(modus_ponens,[status(thm)],[7497, 7496])).
% 4.48/3.35 tff(7499,plain,
% 4.48/3.35 (~m_main_v_turn(s90, c_2)),
% 4.48/3.35 inference(unit_resolution,[status(thm)],[7498, 156, 7495])).
% 4.48/3.35 tff(7500,plain,
% 4.48/3.35 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s90, c_2) | (~node12(s90)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s90, c_2) | (~node12(s90)))),
% 4.48/3.35 inference(rewrite,[status(thm)],[])).
% 4.48/3.35 tff(7501,plain,
% 4.48/3.35 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s90, c_2) | (~node12(s90)))),
% 4.48/3.35 inference(quant_inst,[status(thm)],[])).
% 4.48/3.35 tff(7502,plain,
% 4.48/3.35 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s90, c_2) | (~node12(s90))),
% 4.48/3.35 inference(modus_ponens,[status(thm)],[7501, 7500])).
% 4.48/3.35 tff(7503,plain,
% 4.48/3.35 (~node12(s90)),
% 4.48/3.35 inference(unit_resolution,[status(thm)],[7502, 184, 7499])).
% 4.48/3.35 tff(7504,plain,
% 4.48/3.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s89, s90)) | node14(s89, s90))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s89, s90)) | node14(s89, s90))),
% 4.48/3.35 inference(rewrite,[status(thm)],[])).
% 4.48/3.35 tff(7505,plain,
% 4.48/3.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s89, s90)) | node14(s89, s90))),
% 4.48/3.35 inference(quant_inst,[status(thm)],[])).
% 4.48/3.35 tff(7506,plain,
% 4.48/3.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s89, s90)) | node14(s89, s90)),
% 4.48/3.35 inference(modus_ponens,[status(thm)],[7505, 7504])).
% 4.48/3.35 tff(7507,plain,
% 4.48/3.35 (node14(s89, s90)),
% 4.48/3.35 inference(unit_resolution,[status(thm)],[7506, 46, 7483])).
% 4.48/3.35 tff(7508,plain,
% 4.48/3.35 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s89, c_t1)) | (~m_main_v_state2(s89, c_n2)) | (~node14(s89, s90)) | m_main_v_state2(s90, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s89, c_t1)) | (~m_main_v_state2(s89, c_n2)) | (~node14(s89, s90)) | m_main_v_state2(s90, c_t2))),
% 4.48/3.35 inference(rewrite,[status(thm)],[])).
% 4.48/3.35 tff(7509,plain,
% 4.48/3.35 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s89, c_t1)) | (~m_main_v_state2(s89, c_n2)) | (~node14(s89, s90)) | m_main_v_state2(s90, c_t2))),
% 4.48/3.35 inference(quant_inst,[status(thm)],[])).
% 4.48/3.35 tff(7510,plain,
% 4.48/3.35 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s89, c_t1)) | (~m_main_v_state2(s89, c_n2)) | (~node14(s89, s90)) | m_main_v_state2(s90, c_t2)),
% 4.48/3.35 inference(modus_ponens,[status(thm)],[7509, 7508])).
% 4.48/3.35 tff(7511,plain,
% 4.48/3.35 ((~m_main_v_state1(s89, c_t1)) | (~m_main_v_state2(s89, c_n2)) | m_main_v_state2(s90, c_t2)),
% 4.48/3.35 inference(unit_resolution,[status(thm)],[7510, 922, 7507])).
% 4.48/3.35 tff(7512,plain,
% 4.48/3.35 (m_main_v_state2(s90, c_t2)),
% 4.48/3.35 inference(unit_resolution,[status(thm)],[7511, 7432, 7468])).
% 4.48/3.35 tff(7513,plain,
% 4.48/3.35 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s90, c_n2)) | (~m_main_v_state2(s90, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s90, c_n2)) | (~m_main_v_state2(s90, c_t2)))),
% 4.48/3.35 inference(rewrite,[status(thm)],[])).
% 4.48/3.35 tff(7514,plain,
% 4.48/3.35 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s90, c_n2)) | (~m_main_v_state2(s90, c_t2)))),
% 4.48/3.35 inference(quant_inst,[status(thm)],[])).
% 4.48/3.35 tff(7515,plain,
% 4.48/3.35 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s90, c_n2)) | (~m_main_v_state2(s90, c_t2))),
% 4.48/3.35 inference(modus_ponens,[status(thm)],[7514, 7513])).
% 4.48/3.35 tff(7516,plain,
% 4.48/3.35 (~m_main_v_state2(s90, c_n2)),
% 4.48/3.35 inference(unit_resolution,[status(thm)],[7515, 77, 7512])).
% 4.48/3.35 tff(7517,plain,
% 4.48/3.35 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s90, c_n2) | (~node8(s90)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s90, c_n2) | (~node8(s90)))),
% 4.48/3.35 inference(rewrite,[status(thm)],[])).
% 4.48/3.35 tff(7518,plain,
% 4.48/3.35 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s90, c_n2) | (~node8(s90)))),
% 4.48/3.35 inference(quant_inst,[status(thm)],[])).
% 4.48/3.35 tff(7519,plain,
% 4.48/3.35 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s90, c_n2) | (~node8(s90))),
% 4.48/3.35 inference(modus_ponens,[status(thm)],[7518, 7517])).
% 4.48/3.35 tff(7520,plain,
% 4.48/3.35 (~node8(s90)),
% 4.48/3.35 inference(unit_resolution,[status(thm)],[7519, 271, 7516])).
% 4.48/3.35 tff(7521,plain,
% 4.48/3.35 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s90, c_n2) | (~node9(s90)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s90, c_n2) | (~node9(s90)))),
% 4.48/3.35 inference(rewrite,[status(thm)],[])).
% 4.48/3.35 tff(7522,plain,
% 4.48/3.35 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s90, c_n2) | (~node9(s90)))),
% 4.48/3.35 inference(quant_inst,[status(thm)],[])).
% 4.48/3.35 tff(7523,plain,
% 4.48/3.35 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s90, c_n2) | (~node9(s90))),
% 4.48/3.35 inference(modus_ponens,[status(thm)],[7522, 7521])).
% 4.48/3.35 tff(7524,plain,
% 4.48/3.35 (~node9(s90)),
% 4.48/3.35 inference(unit_resolution,[status(thm)],[7523, 88, 7516])).
% 4.48/3.35 tff(7525,plain,
% 4.48/3.35 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s90, c_n2) | (~node10(s90)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s90, c_n2) | (~node10(s90)))),
% 4.48/3.35 inference(rewrite,[status(thm)],[])).
% 4.48/3.35 tff(7526,plain,
% 4.48/3.35 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s90, c_n2) | (~node10(s90)))),
% 4.48/3.35 inference(quant_inst,[status(thm)],[])).
% 4.48/3.35 tff(7527,plain,
% 4.48/3.35 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s90, c_n2) | (~node10(s90))),
% 4.48/3.35 inference(modus_ponens,[status(thm)],[7526, 7525])).
% 4.48/3.35 tff(7528,plain,
% 4.48/3.35 (~node10(s90)),
% 4.48/3.35 inference(unit_resolution,[status(thm)],[7527, 249, 7516])).
% 4.48/3.35 tff(7529,plain,
% 4.48/3.35 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s90, c_t2)) | (~m_main_v_state2(s90, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s90, c_t2)) | (~m_main_v_state2(s90, c_c2)))),
% 4.48/3.35 inference(rewrite,[status(thm)],[])).
% 4.48/3.35 tff(7530,plain,
% 4.48/3.35 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s90, c_t2)) | (~m_main_v_state2(s90, c_c2)))),
% 4.48/3.36 inference(quant_inst,[status(thm)],[])).
% 4.48/3.36 tff(7531,plain,
% 4.48/3.36 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s90, c_t2)) | (~m_main_v_state2(s90, c_c2))),
% 4.48/3.36 inference(modus_ponens,[status(thm)],[7530, 7529])).
% 4.48/3.36 tff(7532,plain,
% 4.48/3.36 (~m_main_v_state2(s90, c_c2)),
% 4.48/3.36 inference(unit_resolution,[status(thm)],[7531, 260, 7512])).
% 4.48/3.36 tff(7533,plain,
% 4.48/3.36 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s89, c_n2)) | (~m_main_v_state2(s89, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s89, c_n2)) | (~m_main_v_state2(s89, c_c2)))),
% 4.48/3.36 inference(rewrite,[status(thm)],[])).
% 4.48/3.36 tff(7534,plain,
% 4.48/3.36 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s89, c_n2)) | (~m_main_v_state2(s89, c_c2)))),
% 4.48/3.36 inference(quant_inst,[status(thm)],[])).
% 4.48/3.36 tff(7535,plain,
% 4.48/3.36 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s89, c_n2)) | (~m_main_v_state2(s89, c_c2))),
% 4.48/3.36 inference(modus_ponens,[status(thm)],[7534, 7533])).
% 4.48/3.36 tff(7536,plain,
% 4.48/3.36 (~m_main_v_state2(s89, c_c2)),
% 4.48/3.36 inference(unit_resolution,[status(thm)],[7535, 697, 7468])).
% 4.48/3.36 tff(7537,plain,
% 4.48/3.36 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s89, c_c2) | (~node3(s89)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s89, c_c2) | (~node3(s89)))),
% 4.48/3.36 inference(rewrite,[status(thm)],[])).
% 4.48/3.36 tff(7538,plain,
% 4.48/3.36 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s89, c_c2) | (~node3(s89)))),
% 4.48/3.36 inference(quant_inst,[status(thm)],[])).
% 4.48/3.36 tff(7539,plain,
% 4.48/3.36 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s89, c_c2) | (~node3(s89))),
% 4.48/3.36 inference(modus_ponens,[status(thm)],[7538, 7537])).
% 4.48/3.36 tff(7540,plain,
% 4.48/3.36 (~node3(s89)),
% 4.48/3.36 inference(unit_resolution,[status(thm)],[7539, 399, 7536])).
% 4.48/3.36 tff(7541,plain,
% 4.48/3.36 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s88, c_n1) | (~m_main_v_state1(s89, c_n1)) | (~node6(s88, s89)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s88, c_n1) | (~m_main_v_state1(s89, c_n1)) | (~node6(s88, s89)))),
% 4.48/3.36 inference(rewrite,[status(thm)],[])).
% 4.48/3.36 tff(7542,plain,
% 4.48/3.36 (((~node6(s88, s89)) | m_main_v_state1(s88, c_n1) | (~m_main_v_state1(s89, c_n1))) <=> (m_main_v_state1(s88, c_n1) | (~m_main_v_state1(s89, c_n1)) | (~node6(s88, s89)))),
% 4.48/3.36 inference(rewrite,[status(thm)],[])).
% 4.48/3.36 tff(7543,plain,
% 4.48/3.36 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s88, s89)) | m_main_v_state1(s88, c_n1) | (~m_main_v_state1(s89, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s88, c_n1) | (~m_main_v_state1(s89, c_n1)) | (~node6(s88, s89))))),
% 4.48/3.36 inference(monotonicity,[status(thm)],[7542])).
% 4.48/3.36 tff(7544,plain,
% 4.48/3.36 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s88, s89)) | m_main_v_state1(s88, c_n1) | (~m_main_v_state1(s89, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s88, c_n1) | (~m_main_v_state1(s89, c_n1)) | (~node6(s88, s89)))),
% 4.48/3.36 inference(transitivity,[status(thm)],[7543, 7541])).
% 4.48/3.36 tff(7545,plain,
% 4.48/3.36 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s88, s89)) | m_main_v_state1(s88, c_n1) | (~m_main_v_state1(s89, c_n1)))),
% 4.48/3.36 inference(quant_inst,[status(thm)],[])).
% 4.48/3.36 tff(7546,plain,
% 4.48/3.36 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s88, c_n1) | (~m_main_v_state1(s89, c_n1)) | (~node6(s88, s89))),
% 4.48/3.36 inference(modus_ponens,[status(thm)],[7545, 7544])).
% 4.48/3.36 tff(7547,plain,
% 4.48/3.36 (~m_main_v_state1(s89, c_n1)),
% 4.48/3.36 inference(unit_resolution,[status(thm)],[7546, 835, 7340, 7425])).
% 4.48/3.36 tff(7548,plain,
% 4.48/3.36 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s89, c_n1) | (~node2(s89)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s89, c_n1) | (~node2(s89)))),
% 4.48/3.36 inference(rewrite,[status(thm)],[])).
% 4.48/3.36 tff(7549,plain,
% 4.48/3.36 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s89, c_n1) | (~node2(s89)))),
% 4.48/3.36 inference(quant_inst,[status(thm)],[])).
% 4.48/3.36 tff(7550,plain,
% 4.48/3.36 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s89, c_n1) | (~node2(s89))),
% 4.48/3.36 inference(modus_ponens,[status(thm)],[7549, 7548])).
% 4.48/3.36 tff(7551,plain,
% 4.48/3.36 (~node2(s89)),
% 4.48/3.36 inference(unit_resolution,[status(thm)],[7550, 787, 7547])).
% 4.48/3.36 tff(7552,plain,
% 4.48/3.36 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s89, c_t2) | (~node1(s89)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s89, c_t2) | (~node1(s89)))),
% 4.48/3.36 inference(rewrite,[status(thm)],[])).
% 4.48/3.36 tff(7553,plain,
% 4.48/3.36 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s89, c_t2) | (~node1(s89)))),
% 4.48/3.36 inference(quant_inst,[status(thm)],[])).
% 4.48/3.36 tff(7554,plain,
% 4.48/3.36 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s89, c_t2) | (~node1(s89))),
% 4.48/3.36 inference(modus_ponens,[status(thm)],[7553, 7552])).
% 4.48/3.36 tff(7555,plain,
% 4.48/3.36 (~node1(s89)),
% 4.48/3.36 inference(unit_resolution,[status(thm)],[7554, 195, 7472])).
% 4.48/3.36 tff(7556,plain,
% 4.48/3.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s89, s90)) | node7(s89, s90))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s89, s90)) | node7(s89, s90))),
% 4.48/3.36 inference(rewrite,[status(thm)],[])).
% 4.48/3.36 tff(7557,plain,
% 4.48/3.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s89, s90)) | node7(s89, s90))),
% 4.48/3.36 inference(quant_inst,[status(thm)],[])).
% 4.48/3.36 tff(7558,plain,
% 4.48/3.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s89, s90)) | node7(s89, s90)),
% 4.48/3.36 inference(modus_ponens,[status(thm)],[7557, 7556])).
% 4.48/3.36 tff(7559,plain,
% 4.48/3.36 (node7(s89, s90)),
% 4.48/3.36 inference(unit_resolution,[status(thm)],[7558, 206, 7483])).
% 4.48/3.36 tff(7560,plain,
% 4.48/3.36 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s89, c_t1)) | (~m_main_v_state2(s89, c_n2)) | m_main_v_state1(s90, c_c1) | node1(s89) | node2(s89) | node3(s89) | (~node7(s89, s90)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s89, c_t1)) | (~m_main_v_state2(s89, c_n2)) | m_main_v_state1(s90, c_c1) | node1(s89) | node2(s89) | node3(s89) | (~node7(s89, s90)))),
% 4.48/3.36 inference(rewrite,[status(thm)],[])).
% 4.48/3.36 tff(7561,plain,
% 4.48/3.36 (((~m_main_v_state1(s89, c_t1)) | (~m_main_v_state2(s89, c_n2)) | node1(s89) | node2(s89) | node3(s89) | (~node7(s89, s90)) | m_main_v_state1(s90, c_c1)) <=> ((~m_main_v_state1(s89, c_t1)) | (~m_main_v_state2(s89, c_n2)) | m_main_v_state1(s90, c_c1) | node1(s89) | node2(s89) | node3(s89) | (~node7(s89, s90)))),
% 4.48/3.36 inference(rewrite,[status(thm)],[])).
% 4.48/3.36 tff(7562,plain,
% 4.48/3.36 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s89, c_t1)) | (~m_main_v_state2(s89, c_n2)) | node1(s89) | node2(s89) | node3(s89) | (~node7(s89, s90)) | m_main_v_state1(s90, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s89, c_t1)) | (~m_main_v_state2(s89, c_n2)) | m_main_v_state1(s90, c_c1) | node1(s89) | node2(s89) | node3(s89) | (~node7(s89, s90))))),
% 4.48/3.36 inference(monotonicity,[status(thm)],[7561])).
% 4.48/3.36 tff(7563,plain,
% 4.48/3.36 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s89, c_t1)) | (~m_main_v_state2(s89, c_n2)) | node1(s89) | node2(s89) | node3(s89) | (~node7(s89, s90)) | m_main_v_state1(s90, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s89, c_t1)) | (~m_main_v_state2(s89, c_n2)) | m_main_v_state1(s90, c_c1) | node1(s89) | node2(s89) | node3(s89) | (~node7(s89, s90)))),
% 4.48/3.36 inference(transitivity,[status(thm)],[7562, 7560])).
% 4.48/3.36 tff(7564,plain,
% 4.48/3.36 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s89, c_t1)) | (~m_main_v_state2(s89, c_n2)) | node1(s89) | node2(s89) | node3(s89) | (~node7(s89, s90)) | m_main_v_state1(s90, c_c1))),
% 4.48/3.36 inference(quant_inst,[status(thm)],[])).
% 4.48/3.36 tff(7565,plain,
% 4.48/3.36 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s89, c_t1)) | (~m_main_v_state2(s89, c_n2)) | m_main_v_state1(s90, c_c1) | node1(s89) | node2(s89) | node3(s89) | (~node7(s89, s90))),
% 4.48/3.36 inference(modus_ponens,[status(thm)],[7564, 7563])).
% 4.48/3.36 tff(7566,plain,
% 4.48/3.36 ((~m_main_v_state1(s89, c_t1)) | (~m_main_v_state2(s89, c_n2)) | m_main_v_state1(s90, c_c1) | node1(s89) | node2(s89) | node3(s89)),
% 4.48/3.36 inference(unit_resolution,[status(thm)],[7565, 892, 7559])).
% 4.48/3.36 tff(7567,plain,
% 4.48/3.36 (m_main_v_state1(s90, c_c1)),
% 4.48/3.36 inference(unit_resolution,[status(thm)],[7566, 7555, 7468, 7432, 7551, 7540])).
% 4.48/3.36 tff(7568,plain,
% 4.48/3.36 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s90, c_n1)) | (~m_main_v_state1(s90, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s90, c_n1)) | (~m_main_v_state1(s90, c_c1)))),
% 4.48/3.36 inference(rewrite,[status(thm)],[])).
% 4.48/3.36 tff(7569,plain,
% 4.48/3.36 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s90, c_n1)) | (~m_main_v_state1(s90, c_c1)))),
% 4.48/3.36 inference(quant_inst,[status(thm)],[])).
% 4.48/3.36 tff(7570,plain,
% 4.48/3.36 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s90, c_n1)) | (~m_main_v_state1(s90, c_c1))),
% 4.48/3.36 inference(modus_ponens,[status(thm)],[7569, 7568])).
% 4.48/3.36 tff(7571,plain,
% 4.48/3.36 (~m_main_v_state1(s90, c_n1)),
% 4.48/3.36 inference(unit_resolution,[status(thm)],[7570, 454, 7567])).
% 4.48/3.36 tff(7572,plain,
% 4.48/3.36 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s90, c_n1) | (~node11(s90)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s90, c_n1) | (~node11(s90)))),
% 4.48/3.36 inference(rewrite,[status(thm)],[])).
% 4.48/3.36 tff(7573,plain,
% 4.48/3.36 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s90, c_n1) | (~node11(s90)))),
% 4.48/3.36 inference(quant_inst,[status(thm)],[])).
% 4.48/3.36 tff(7574,plain,
% 4.48/3.36 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s90, c_n1) | (~node11(s90))),
% 4.48/3.36 inference(modus_ponens,[status(thm)],[7573, 7572])).
% 4.48/3.36 tff(7575,plain,
% 4.48/3.36 (~node11(s90)),
% 4.48/3.36 inference(unit_resolution,[status(thm)],[7574, 238, 7571])).
% 4.48/3.36 tff(7576,plain,
% 4.48/3.36 (succ(s90, s91) <=> succ(s90, s91)),
% 4.48/3.36 inference(rewrite,[status(thm)],[])).
% 4.48/3.36 tff(7577,axiom,(succ(s90, s91)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound91')).
% 4.48/3.36 tff(7578,plain,
% 4.48/3.36 (succ(s90, s91)),
% 4.48/3.36 inference(modus_ponens,[status(thm)],[7577, 7576])).
% 4.48/3.36 tff(7579,plain,
% 4.48/3.36 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s90, s91)) | trans(s90, s91))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s90, s91)) | trans(s90, s91))),
% 4.48/3.36 inference(rewrite,[status(thm)],[])).
% 4.48/3.36 tff(7580,plain,
% 4.48/3.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s90, s91)) | trans(s90, s91))),
% 4.48/3.36 inference(quant_inst,[status(thm)],[])).
% 4.48/3.36 tff(7581,plain,
% 4.48/3.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s90, s91)) | trans(s90, s91)),
% 4.48/3.36 inference(modus_ponens,[status(thm)],[7580, 7579])).
% 4.48/3.36 tff(7582,plain,
% 4.48/3.36 (trans(s90, s91)),
% 4.48/3.36 inference(unit_resolution,[status(thm)],[7581, 7578, 32])).
% 4.48/3.36 tff(7583,plain,
% 4.48/3.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s90, s91)) | node14(s90, s91))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s90, s91)) | node14(s90, s91))),
% 4.48/3.36 inference(rewrite,[status(thm)],[])).
% 4.48/3.36 tff(7584,plain,
% 4.48/3.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s90, s91)) | node14(s90, s91))),
% 4.48/3.36 inference(quant_inst,[status(thm)],[])).
% 4.48/3.36 tff(7585,plain,
% 4.48/3.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s90, s91)) | node14(s90, s91)),
% 4.48/3.36 inference(modus_ponens,[status(thm)],[7584, 7583])).
% 4.48/3.36 tff(7586,plain,
% 4.48/3.36 (node14(s90, s91)),
% 4.48/3.36 inference(unit_resolution,[status(thm)],[7585, 46, 7582])).
% 4.48/3.36 tff(7587,plain,
% 4.48/3.36 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s90, c_c2) | node9(s90) | node8(s90) | node10(s90) | node11(s90) | node12(s90) | node13(s90, s91) | (~node14(s90, s91)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s90, c_c2) | node9(s90) | node8(s90) | node10(s90) | node11(s90) | node12(s90) | node13(s90, s91) | (~node14(s90, s91)))),
% 4.48/3.36 inference(rewrite,[status(thm)],[])).
% 4.48/3.36 tff(7588,plain,
% 4.48/3.36 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s90, c_c2) | node9(s90) | node8(s90) | node10(s90) | node11(s90) | node12(s90) | node13(s90, s91) | (~node14(s90, s91)))),
% 4.48/3.36 inference(quant_inst,[status(thm)],[])).
% 4.48/3.36 tff(7589,plain,
% 4.48/3.36 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s90, c_c2) | node9(s90) | node8(s90) | node10(s90) | node11(s90) | node12(s90) | node13(s90, s91) | (~node14(s90, s91))),
% 4.48/3.36 inference(modus_ponens,[status(thm)],[7588, 7587])).
% 4.48/3.36 tff(7590,plain,
% 4.48/3.36 (m_main_v_state2(s90, c_c2) | node9(s90) | node8(s90) | node10(s90) | node11(s90) | node12(s90) | node13(s90, s91)),
% 4.48/3.36 inference(unit_resolution,[status(thm)],[7589, 296, 7586])).
% 4.48/3.36 tff(7591,plain,
% 4.48/3.36 (node13(s90, s91)),
% 4.48/3.36 inference(unit_resolution,[status(thm)],[7590, 7575, 7532, 7528, 7524, 7520, 7503])).
% 4.48/3.36 tff(7592,plain,
% 4.48/3.36 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s90, c_n2) | (~m_main_v_state2(s91, c_n2)) | (~node13(s90, s91)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s90, c_n2) | (~m_main_v_state2(s91, c_n2)) | (~node13(s90, s91)))),
% 4.48/3.36 inference(rewrite,[status(thm)],[])).
% 4.48/3.36 tff(7593,plain,
% 4.48/3.36 (((~node13(s90, s91)) | m_main_v_state2(s90, c_n2) | (~m_main_v_state2(s91, c_n2))) <=> (m_main_v_state2(s90, c_n2) | (~m_main_v_state2(s91, c_n2)) | (~node13(s90, s91)))),
% 4.48/3.36 inference(rewrite,[status(thm)],[])).
% 4.48/3.36 tff(7594,plain,
% 4.48/3.36 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s90, s91)) | m_main_v_state2(s90, c_n2) | (~m_main_v_state2(s91, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s90, c_n2) | (~m_main_v_state2(s91, c_n2)) | (~node13(s90, s91))))),
% 4.48/3.36 inference(monotonicity,[status(thm)],[7593])).
% 4.48/3.36 tff(7595,plain,
% 4.48/3.36 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s90, s91)) | m_main_v_state2(s90, c_n2) | (~m_main_v_state2(s91, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s90, c_n2) | (~m_main_v_state2(s91, c_n2)) | (~node13(s90, s91)))),
% 4.48/3.36 inference(transitivity,[status(thm)],[7594, 7592])).
% 4.48/3.36 tff(7596,plain,
% 4.48/3.36 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s90, s91)) | m_main_v_state2(s90, c_n2) | (~m_main_v_state2(s91, c_n2)))),
% 4.48/3.36 inference(quant_inst,[status(thm)],[])).
% 4.48/3.36 tff(7597,plain,
% 4.48/3.36 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s90, c_n2) | (~m_main_v_state2(s91, c_n2)) | (~node13(s90, s91))),
% 4.48/3.36 inference(modus_ponens,[status(thm)],[7596, 7595])).
% 4.48/3.36 tff(7598,plain,
% 4.48/3.36 (~m_main_v_state2(s91, c_n2)),
% 4.48/3.36 inference(unit_resolution,[status(thm)],[7597, 311, 7516, 7591])).
% 4.48/3.36 tff(7599,plain,
% 4.48/3.36 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s91, c_n2) | (~node9(s91)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s91, c_n2) | (~node9(s91)))),
% 4.48/3.36 inference(rewrite,[status(thm)],[])).
% 4.48/3.36 tff(7600,plain,
% 4.48/3.36 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s91, c_n2) | (~node9(s91)))),
% 4.48/3.36 inference(quant_inst,[status(thm)],[])).
% 4.48/3.36 tff(7601,plain,
% 4.48/3.36 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s91, c_n2) | (~node9(s91))),
% 4.48/3.36 inference(modus_ponens,[status(thm)],[7600, 7599])).
% 4.48/3.36 tff(7602,plain,
% 4.48/3.36 (~node9(s91)),
% 4.48/3.36 inference(unit_resolution,[status(thm)],[7601, 88, 7598])).
% 4.48/3.36 tff(7603,plain,
% 4.48/3.36 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s91, c_n2) | (~node10(s91)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s91, c_n2) | (~node10(s91)))),
% 4.48/3.36 inference(rewrite,[status(thm)],[])).
% 4.48/3.36 tff(7604,plain,
% 4.48/3.36 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s91, c_n2) | (~node10(s91)))),
% 4.48/3.36 inference(quant_inst,[status(thm)],[])).
% 4.48/3.36 tff(7605,plain,
% 4.48/3.36 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s91, c_n2) | (~node10(s91))),
% 4.48/3.36 inference(modus_ponens,[status(thm)],[7604, 7603])).
% 4.48/3.36 tff(7606,plain,
% 4.48/3.36 (~node10(s91)),
% 4.48/3.36 inference(unit_resolution,[status(thm)],[7605, 249, 7598])).
% 4.48/3.36 tff(7607,plain,
% 4.48/3.36 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s90, c_t2)) | m_main_v_state2(s91, c_t2) | (~node13(s90, s91)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s90, c_t2)) | m_main_v_state2(s91, c_t2) | (~node13(s90, s91)))),
% 4.48/3.36 inference(rewrite,[status(thm)],[])).
% 4.48/3.36 tff(7608,plain,
% 4.48/3.36 (((~node13(s90, s91)) | (~m_main_v_state2(s90, c_t2)) | m_main_v_state2(s91, c_t2)) <=> ((~m_main_v_state2(s90, c_t2)) | m_main_v_state2(s91, c_t2) | (~node13(s90, s91)))),
% 4.48/3.36 inference(rewrite,[status(thm)],[])).
% 4.48/3.36 tff(7609,plain,
% 4.48/3.36 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s90, s91)) | (~m_main_v_state2(s90, c_t2)) | m_main_v_state2(s91, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s90, c_t2)) | m_main_v_state2(s91, c_t2) | (~node13(s90, s91))))),
% 4.48/3.36 inference(monotonicity,[status(thm)],[7608])).
% 4.48/3.36 tff(7610,plain,
% 4.48/3.36 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s90, s91)) | (~m_main_v_state2(s90, c_t2)) | m_main_v_state2(s91, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s90, c_t2)) | m_main_v_state2(s91, c_t2) | (~node13(s90, s91)))),
% 4.48/3.36 inference(transitivity,[status(thm)],[7609, 7607])).
% 4.48/3.36 tff(7611,plain,
% 4.48/3.36 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s90, s91)) | (~m_main_v_state2(s90, c_t2)) | m_main_v_state2(s91, c_t2))),
% 4.48/3.36 inference(quant_inst,[status(thm)],[])).
% 4.48/3.36 tff(7612,plain,
% 4.48/3.36 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s90, c_t2)) | m_main_v_state2(s91, c_t2) | (~node13(s90, s91))),
% 4.48/3.36 inference(modus_ponens,[status(thm)],[7611, 7610])).
% 4.48/3.36 tff(7613,plain,
% 4.48/3.36 (m_main_v_state2(s91, c_t2)),
% 4.48/3.36 inference(unit_resolution,[status(thm)],[7612, 518, 7512, 7591])).
% 4.48/3.36 tff(7614,plain,
% 4.48/3.36 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s90, c_t1)) | (~m_main_v_state1(s90, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s90, c_t1)) | (~m_main_v_state1(s90, c_c1)))),
% 4.48/3.36 inference(rewrite,[status(thm)],[])).
% 4.48/3.36 tff(7615,plain,
% 4.48/3.36 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s90, c_t1)) | (~m_main_v_state1(s90, c_c1)))),
% 4.48/3.36 inference(quant_inst,[status(thm)],[])).
% 4.48/3.36 tff(7616,plain,
% 4.48/3.36 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s90, c_t1)) | (~m_main_v_state1(s90, c_c1))),
% 4.48/3.36 inference(modus_ponens,[status(thm)],[7615, 7614])).
% 4.48/3.36 tff(7617,plain,
% 4.48/3.36 (~m_main_v_state1(s90, c_t1)),
% 4.48/3.36 inference(unit_resolution,[status(thm)],[7616, 539, 7567])).
% 4.48/3.36 tff(7618,plain,
% 4.48/3.36 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s90, c_t1) | (~node5(s90)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s90, c_t1) | (~node5(s90)))),
% 4.48/3.36 inference(rewrite,[status(thm)],[])).
% 4.48/3.36 tff(7619,plain,
% 4.48/3.36 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s90, c_t1) | (~node5(s90)))),
% 4.48/3.36 inference(quant_inst,[status(thm)],[])).
% 4.48/3.36 tff(7620,plain,
% 4.48/3.36 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s90, c_t1) | (~node5(s90))),
% 4.48/3.36 inference(modus_ponens,[status(thm)],[7619, 7618])).
% 4.48/3.36 tff(7621,plain,
% 4.48/3.36 (~node5(s90)),
% 4.48/3.36 inference(unit_resolution,[status(thm)],[7620, 550, 7617])).
% 4.48/3.36 tff(7622,plain,
% 4.48/3.36 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s90, c_n2) | (~node4(s90)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s90, c_n2) | (~node4(s90)))),
% 4.48/3.36 inference(rewrite,[status(thm)],[])).
% 4.48/3.36 tff(7623,plain,
% 4.48/3.36 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s90, c_n2) | (~node4(s90)))),
% 4.48/3.36 inference(quant_inst,[status(thm)],[])).
% 4.48/3.36 tff(7624,plain,
% 4.48/3.36 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s90, c_n2) | (~node4(s90))),
% 4.48/3.36 inference(modus_ponens,[status(thm)],[7623, 7622])).
% 4.48/3.36 tff(7625,plain,
% 4.48/3.36 (~node4(s90)),
% 4.48/3.36 inference(unit_resolution,[status(thm)],[7624, 388, 7516])).
% 4.48/3.36 tff(7626,plain,
% 4.48/3.36 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s90, c_c2) | (~node3(s90)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s90, c_c2) | (~node3(s90)))),
% 4.48/3.36 inference(rewrite,[status(thm)],[])).
% 4.48/3.36 tff(7627,plain,
% 4.48/3.36 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s90, c_c2) | (~node3(s90)))),
% 4.48/3.36 inference(quant_inst,[status(thm)],[])).
% 4.48/3.36 tff(7628,plain,
% 4.48/3.36 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s90, c_c2) | (~node3(s90))),
% 4.48/3.36 inference(modus_ponens,[status(thm)],[7627, 7626])).
% 4.48/3.36 tff(7629,plain,
% 4.48/3.36 (~node3(s90)),
% 4.48/3.36 inference(unit_resolution,[status(thm)],[7628, 399, 7532])).
% 4.48/3.36 tff(7630,plain,
% 4.48/3.36 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s90, c_n2) | (~node2(s90)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s90, c_n2) | (~node2(s90)))),
% 4.48/3.36 inference(rewrite,[status(thm)],[])).
% 4.48/3.36 tff(7631,plain,
% 4.48/3.36 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s90, c_n2) | (~node2(s90)))),
% 4.48/3.36 inference(quant_inst,[status(thm)],[])).
% 4.48/3.36 tff(7632,plain,
% 4.48/3.36 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s90, c_n2) | (~node2(s90))),
% 4.48/3.36 inference(modus_ponens,[status(thm)],[7631, 7630])).
% 4.48/3.36 tff(7633,plain,
% 4.48/3.36 (~node2(s90)),
% 4.48/3.36 inference(unit_resolution,[status(thm)],[7632, 410, 7516])).
% 4.48/3.36 tff(7634,plain,
% 4.48/3.36 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s90, c_n1) | (~node1(s90)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s90, c_n1) | (~node1(s90)))),
% 4.48/3.36 inference(rewrite,[status(thm)],[])).
% 4.48/3.36 tff(7635,plain,
% 4.48/3.36 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s90, c_n1) | (~node1(s90)))),
% 4.48/3.36 inference(quant_inst,[status(thm)],[])).
% 4.48/3.36 tff(7636,plain,
% 4.48/3.36 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s90, c_n1) | (~node1(s90))),
% 4.48/3.36 inference(modus_ponens,[status(thm)],[7635, 7634])).
% 4.48/3.36 tff(7637,plain,
% 4.48/3.36 (~node1(s90)),
% 4.48/3.36 inference(unit_resolution,[status(thm)],[7636, 421, 7571])).
% 4.48/3.36 tff(7638,plain,
% 4.48/3.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s90, s91)) | node7(s90, s91))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s90, s91)) | node7(s90, s91))),
% 4.48/3.36 inference(rewrite,[status(thm)],[])).
% 4.48/3.36 tff(7639,plain,
% 4.48/3.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s90, s91)) | node7(s90, s91))),
% 4.48/3.36 inference(quant_inst,[status(thm)],[])).
% 4.48/3.36 tff(7640,plain,
% 4.48/3.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s90, s91)) | node7(s90, s91)),
% 4.48/3.36 inference(modus_ponens,[status(thm)],[7639, 7638])).
% 4.48/3.36 tff(7641,plain,
% 4.48/3.36 (node7(s90, s91)),
% 4.48/3.36 inference(unit_resolution,[status(thm)],[7640, 206, 7582])).
% 4.48/3.36 tff(7642,plain,
% 4.48/3.36 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s91, c_n1) | (~m_main_v_state1(s90, c_c1)) | node1(s90) | node2(s90) | node3(s90) | node4(s90) | node5(s90) | (~node7(s90, s91)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s91, c_n1) | (~m_main_v_state1(s90, c_c1)) | node1(s90) | node2(s90) | node3(s90) | node4(s90) | node5(s90) | (~node7(s90, s91)))),
% 4.48/3.36 inference(rewrite,[status(thm)],[])).
% 4.48/3.36 tff(7643,plain,
% 4.48/3.36 (((~m_main_v_state1(s90, c_c1)) | node1(s90) | node2(s90) | node3(s90) | node4(s90) | node5(s90) | (~node7(s90, s91)) | m_main_v_state1(s91, c_n1)) <=> (m_main_v_state1(s91, c_n1) | (~m_main_v_state1(s90, c_c1)) | node1(s90) | node2(s90) | node3(s90) | node4(s90) | node5(s90) | (~node7(s90, s91)))),
% 4.48/3.36 inference(rewrite,[status(thm)],[])).
% 4.48/3.36 tff(7644,plain,
% 4.48/3.36 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s90, c_c1)) | node1(s90) | node2(s90) | node3(s90) | node4(s90) | node5(s90) | (~node7(s90, s91)) | m_main_v_state1(s91, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s91, c_n1) | (~m_main_v_state1(s90, c_c1)) | node1(s90) | node2(s90) | node3(s90) | node4(s90) | node5(s90) | (~node7(s90, s91))))),
% 4.48/3.36 inference(monotonicity,[status(thm)],[7643])).
% 4.48/3.36 tff(7645,plain,
% 4.48/3.36 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s90, c_c1)) | node1(s90) | node2(s90) | node3(s90) | node4(s90) | node5(s90) | (~node7(s90, s91)) | m_main_v_state1(s91, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s91, c_n1) | (~m_main_v_state1(s90, c_c1)) | node1(s90) | node2(s90) | node3(s90) | node4(s90) | node5(s90) | (~node7(s90, s91)))),
% 4.48/3.36 inference(transitivity,[status(thm)],[7644, 7642])).
% 4.48/3.36 tff(7646,plain,
% 4.48/3.36 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s90, c_c1)) | node1(s90) | node2(s90) | node3(s90) | node4(s90) | node5(s90) | (~node7(s90, s91)) | m_main_v_state1(s91, c_n1))),
% 4.48/3.37 inference(quant_inst,[status(thm)],[])).
% 4.48/3.37 tff(7647,plain,
% 4.48/3.37 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s91, c_n1) | (~m_main_v_state1(s90, c_c1)) | node1(s90) | node2(s90) | node3(s90) | node4(s90) | node5(s90) | (~node7(s90, s91))),
% 4.48/3.37 inference(modus_ponens,[status(thm)],[7646, 7645])).
% 4.48/3.37 tff(7648,plain,
% 4.48/3.37 (m_main_v_state1(s91, c_n1) | (~m_main_v_state1(s90, c_c1)) | node1(s90) | node2(s90) | node3(s90) | node4(s90) | node5(s90)),
% 4.48/3.37 inference(unit_resolution,[status(thm)],[7647, 584, 7641])).
% 4.48/3.37 tff(7649,plain,
% 4.48/3.37 (m_main_v_state1(s91, c_n1)),
% 4.48/3.37 inference(unit_resolution,[status(thm)],[7648, 7637, 7567, 7633, 7629, 7625, 7621])).
% 4.48/3.37 tff(7650,plain,
% 4.48/3.37 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s91, c_n2) | (~node8(s91)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s91, c_n2) | (~node8(s91)))),
% 4.48/3.37 inference(rewrite,[status(thm)],[])).
% 4.48/3.37 tff(7651,plain,
% 4.48/3.37 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s91, c_n2) | (~node8(s91)))),
% 4.48/3.37 inference(quant_inst,[status(thm)],[])).
% 4.48/3.37 tff(7652,plain,
% 4.48/3.37 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s91, c_n2) | (~node8(s91))),
% 4.48/3.37 inference(modus_ponens,[status(thm)],[7651, 7650])).
% 4.48/3.37 tff(7653,plain,
% 4.48/3.37 (~node8(s91)),
% 4.48/3.37 inference(unit_resolution,[status(thm)],[7652, 271, 7598])).
% 4.48/3.37 tff(7654,plain,
% 4.48/3.37 (succ(s91, s92) <=> succ(s91, s92)),
% 4.48/3.37 inference(rewrite,[status(thm)],[])).
% 4.48/3.37 tff(7655,axiom,(succ(s91, s92)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound92')).
% 4.48/3.37 tff(7656,plain,
% 4.48/3.37 (succ(s91, s92)),
% 4.48/3.37 inference(modus_ponens,[status(thm)],[7655, 7654])).
% 4.48/3.37 tff(7657,plain,
% 4.48/3.37 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s91, s92)) | trans(s91, s92))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s91, s92)) | trans(s91, s92))),
% 4.48/3.37 inference(rewrite,[status(thm)],[])).
% 4.48/3.37 tff(7658,plain,
% 4.48/3.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s91, s92)) | trans(s91, s92))),
% 4.48/3.37 inference(quant_inst,[status(thm)],[])).
% 4.48/3.37 tff(7659,plain,
% 4.48/3.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s91, s92)) | trans(s91, s92)),
% 4.48/3.37 inference(modus_ponens,[status(thm)],[7658, 7657])).
% 4.48/3.37 tff(7660,plain,
% 4.48/3.37 (trans(s91, s92)),
% 4.48/3.37 inference(unit_resolution,[status(thm)],[7659, 7656, 32])).
% 4.48/3.37 tff(7661,plain,
% 4.48/3.37 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s91, s92)) | node14(s91, s92))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s91, s92)) | node14(s91, s92))),
% 4.48/3.37 inference(rewrite,[status(thm)],[])).
% 4.48/3.37 tff(7662,plain,
% 4.48/3.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s91, s92)) | node14(s91, s92))),
% 4.48/3.37 inference(quant_inst,[status(thm)],[])).
% 4.48/3.37 tff(7663,plain,
% 4.48/3.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s91, s92)) | node14(s91, s92)),
% 4.48/3.37 inference(modus_ponens,[status(thm)],[7662, 7661])).
% 4.48/3.37 tff(7664,plain,
% 4.48/3.37 (node14(s91, s92)),
% 4.48/3.37 inference(unit_resolution,[status(thm)],[7663, 46, 7660])).
% 4.48/3.37 tff(7665,plain,
% 4.48/3.37 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s91, c_n1)) | (~m_main_v_state2(s91, c_t2)) | node9(s91) | node8(s91) | node10(s91) | (~node14(s91, s92)) | m_main_v_state2(s92, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s91, c_n1)) | (~m_main_v_state2(s91, c_t2)) | node9(s91) | node8(s91) | node10(s91) | (~node14(s91, s92)) | m_main_v_state2(s92, c_c2))),
% 4.48/3.37 inference(rewrite,[status(thm)],[])).
% 4.48/3.37 tff(7666,plain,
% 4.48/3.37 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s91, c_n1)) | (~m_main_v_state2(s91, c_t2)) | node9(s91) | node8(s91) | node10(s91) | (~node14(s91, s92)) | m_main_v_state2(s92, c_c2))),
% 4.48/3.37 inference(quant_inst,[status(thm)],[])).
% 4.48/3.37 tff(7667,plain,
% 4.48/3.37 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s91, c_n1)) | (~m_main_v_state2(s91, c_t2)) | node9(s91) | node8(s91) | node10(s91) | (~node14(s91, s92)) | m_main_v_state2(s92, c_c2)),
% 4.48/3.37 inference(modus_ponens,[status(thm)],[7666, 7665])).
% 4.48/3.37 tff(7668,plain,
% 4.48/3.37 ((~m_main_v_state1(s91, c_n1)) | (~m_main_v_state2(s91, c_t2)) | node9(s91) | node8(s91) | node10(s91) | m_main_v_state2(s92, c_c2)),
% 4.48/3.37 inference(unit_resolution,[status(thm)],[7667, 617, 7664])).
% 4.48/3.37 tff(7669,plain,
% 4.48/3.37 (m_main_v_state2(s92, c_c2)),
% 4.48/3.37 inference(unit_resolution,[status(thm)],[7668, 7653, 7649, 7613, 7606, 7602])).
% 4.48/3.37 tff(7670,plain,
% 4.48/3.37 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s92, c_t2)) | (~m_main_v_state2(s92, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s92, c_t2)) | (~m_main_v_state2(s92, c_c2)))),
% 4.48/3.37 inference(rewrite,[status(thm)],[])).
% 4.48/3.37 tff(7671,plain,
% 4.48/3.37 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s92, c_t2)) | (~m_main_v_state2(s92, c_c2)))),
% 4.48/3.37 inference(quant_inst,[status(thm)],[])).
% 4.48/3.37 tff(7672,plain,
% 4.48/3.37 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s92, c_t2)) | (~m_main_v_state2(s92, c_c2))),
% 4.48/3.37 inference(modus_ponens,[status(thm)],[7671, 7670])).
% 4.48/3.37 tff(7673,plain,
% 4.48/3.37 (~m_main_v_state2(s92, c_t2)),
% 4.48/3.37 inference(unit_resolution,[status(thm)],[7672, 260, 7669])).
% 4.48/3.37 tff(7674,plain,
% 4.48/3.37 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s92, c_t2) | (~node12(s92)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s92, c_t2) | (~node12(s92)))),
% 4.48/3.37 inference(rewrite,[status(thm)],[])).
% 4.48/3.37 tff(7675,plain,
% 4.48/3.37 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s92, c_t2) | (~node12(s92)))),
% 4.48/3.37 inference(quant_inst,[status(thm)],[])).
% 4.48/3.37 tff(7676,plain,
% 4.48/3.37 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s92, c_t2) | (~node12(s92))),
% 4.48/3.37 inference(modus_ponens,[status(thm)],[7675, 7674])).
% 4.48/3.37 tff(7677,plain,
% 4.48/3.37 (~node12(s92)),
% 4.48/3.37 inference(unit_resolution,[status(thm)],[7676, 633, 7673])).
% 4.48/3.37 tff(7678,plain,
% 4.48/3.37 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s91, s92)) | node7(s91, s92))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s91, s92)) | node7(s91, s92))),
% 4.48/3.37 inference(rewrite,[status(thm)],[])).
% 4.48/3.37 tff(7679,plain,
% 4.48/3.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s91, s92)) | node7(s91, s92))),
% 4.48/3.37 inference(quant_inst,[status(thm)],[])).
% 4.48/3.37 tff(7680,plain,
% 4.48/3.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s91, s92)) | node7(s91, s92)),
% 4.48/3.37 inference(modus_ponens,[status(thm)],[7679, 7678])).
% 4.48/3.37 tff(7681,plain,
% 4.48/3.37 (node7(s91, s92)),
% 4.48/3.37 inference(unit_resolution,[status(thm)],[7680, 206, 7660])).
% 4.48/3.37 tff(7682,plain,
% 4.48/3.37 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s91, c_n1)) | (~m_main_v_state2(s91, c_t2)) | (~node7(s91, s92)) | m_main_v_state1(s92, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s91, c_n1)) | (~m_main_v_state2(s91, c_t2)) | (~node7(s91, s92)) | m_main_v_state1(s92, c_t1))),
% 4.48/3.37 inference(rewrite,[status(thm)],[])).
% 4.48/3.37 tff(7683,plain,
% 4.48/3.37 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s91, c_n1)) | (~m_main_v_state2(s91, c_t2)) | (~node7(s91, s92)) | m_main_v_state1(s92, c_t1))),
% 4.48/3.37 inference(quant_inst,[status(thm)],[])).
% 4.48/3.37 tff(7684,plain,
% 4.48/3.37 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s91, c_n1)) | (~m_main_v_state2(s91, c_t2)) | (~node7(s91, s92)) | m_main_v_state1(s92, c_t1)),
% 4.48/3.37 inference(modus_ponens,[status(thm)],[7683, 7682])).
% 4.48/3.37 tff(7685,plain,
% 4.48/3.37 ((~m_main_v_state1(s91, c_n1)) | (~m_main_v_state2(s91, c_t2)) | m_main_v_state1(s92, c_t1)),
% 4.48/3.37 inference(unit_resolution,[status(thm)],[7684, 651, 7681])).
% 4.48/3.37 tff(7686,plain,
% 4.48/3.37 (m_main_v_state1(s92, c_t1)),
% 4.48/3.37 inference(unit_resolution,[status(thm)],[7685, 7613, 7649])).
% 4.48/3.37 tff(7687,plain,
% 4.48/3.37 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s92, c_n1)) | (~m_main_v_state1(s92, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s92, c_n1)) | (~m_main_v_state1(s92, c_t1)))),
% 4.48/3.37 inference(rewrite,[status(thm)],[])).
% 4.48/3.37 tff(7688,plain,
% 4.48/3.37 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s92, c_n1)) | (~m_main_v_state1(s92, c_t1)))),
% 4.48/3.37 inference(quant_inst,[status(thm)],[])).
% 4.48/3.37 tff(7689,plain,
% 4.48/3.37 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s92, c_n1)) | (~m_main_v_state1(s92, c_t1))),
% 4.48/3.37 inference(modus_ponens,[status(thm)],[7688, 7687])).
% 4.48/3.37 tff(7690,plain,
% 4.48/3.37 (~m_main_v_state1(s92, c_n1)),
% 4.48/3.37 inference(unit_resolution,[status(thm)],[7689, 10, 7686])).
% 4.48/3.37 tff(7691,plain,
% 4.48/3.37 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s92, c_n1) | (~node11(s92)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s92, c_n1) | (~node11(s92)))),
% 4.48/3.37 inference(rewrite,[status(thm)],[])).
% 4.48/3.37 tff(7692,plain,
% 4.48/3.37 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s92, c_n1) | (~node11(s92)))),
% 4.48/3.37 inference(quant_inst,[status(thm)],[])).
% 4.48/3.37 tff(7693,plain,
% 4.48/3.37 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s92, c_n1) | (~node11(s92))),
% 4.48/3.37 inference(modus_ponens,[status(thm)],[7692, 7691])).
% 4.48/3.37 tff(7694,plain,
% 4.48/3.37 (~node11(s92)),
% 4.48/3.37 inference(unit_resolution,[status(thm)],[7693, 238, 7690])).
% 4.48/3.37 tff(7695,plain,
% 4.48/3.37 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s92, c_t1)) | (~m_main_v_state1(s92, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s92, c_t1)) | (~m_main_v_state1(s92, c_c1)))),
% 4.48/3.37 inference(rewrite,[status(thm)],[])).
% 4.48/3.37 tff(7696,plain,
% 4.48/3.37 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s92, c_t1)) | (~m_main_v_state1(s92, c_c1)))),
% 4.48/3.37 inference(quant_inst,[status(thm)],[])).
% 4.48/3.37 tff(7697,plain,
% 4.48/3.37 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s92, c_t1)) | (~m_main_v_state1(s92, c_c1))),
% 4.48/3.37 inference(modus_ponens,[status(thm)],[7696, 7695])).
% 4.48/3.37 tff(7698,plain,
% 4.48/3.37 (~m_main_v_state1(s92, c_c1)),
% 4.48/3.37 inference(unit_resolution,[status(thm)],[7697, 539, 7686])).
% 4.48/3.37 tff(7699,plain,
% 4.48/3.37 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s92, c_c1) | (~node10(s92)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s92, c_c1) | (~node10(s92)))),
% 4.48/3.37 inference(rewrite,[status(thm)],[])).
% 4.48/3.37 tff(7700,plain,
% 4.48/3.37 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s92, c_c1) | (~node10(s92)))),
% 4.48/3.37 inference(quant_inst,[status(thm)],[])).
% 4.48/3.37 tff(7701,plain,
% 4.48/3.37 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s92, c_c1) | (~node10(s92))),
% 4.48/3.37 inference(modus_ponens,[status(thm)],[7700, 7699])).
% 4.48/3.37 tff(7702,plain,
% 4.48/3.37 (~node10(s92)),
% 4.48/3.37 inference(unit_resolution,[status(thm)],[7701, 675, 7698])).
% 4.48/3.37 tff(7703,plain,
% 4.48/3.37 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s92, c_n1) | (~node9(s92)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s92, c_n1) | (~node9(s92)))),
% 4.48/3.37 inference(rewrite,[status(thm)],[])).
% 4.48/3.37 tff(7704,plain,
% 4.48/3.37 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s92, c_n1) | (~node9(s92)))),
% 4.48/3.37 inference(quant_inst,[status(thm)],[])).
% 4.48/3.37 tff(7705,plain,
% 4.48/3.37 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s92, c_n1) | (~node9(s92))),
% 4.48/3.37 inference(modus_ponens,[status(thm)],[7704, 7703])).
% 4.48/3.37 tff(7706,plain,
% 4.48/3.37 (~node9(s92)),
% 4.48/3.37 inference(unit_resolution,[status(thm)],[7705, 686, 7690])).
% 4.48/3.37 tff(7707,plain,
% 4.48/3.37 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s92, c_n2)) | (~m_main_v_state2(s92, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s92, c_n2)) | (~m_main_v_state2(s92, c_c2)))),
% 4.48/3.37 inference(rewrite,[status(thm)],[])).
% 4.48/3.37 tff(7708,plain,
% 4.48/3.37 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s92, c_n2)) | (~m_main_v_state2(s92, c_c2)))),
% 4.48/3.37 inference(quant_inst,[status(thm)],[])).
% 4.48/3.37 tff(7709,plain,
% 4.48/3.37 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s92, c_n2)) | (~m_main_v_state2(s92, c_c2))),
% 4.48/3.37 inference(modus_ponens,[status(thm)],[7708, 7707])).
% 4.48/3.37 tff(7710,plain,
% 4.48/3.37 (~m_main_v_state2(s92, c_n2)),
% 4.48/3.37 inference(unit_resolution,[status(thm)],[7709, 697, 7669])).
% 4.48/3.37 tff(7711,plain,
% 4.48/3.37 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s92, c_n2) | (~node8(s92)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s92, c_n2) | (~node8(s92)))),
% 4.48/3.37 inference(rewrite,[status(thm)],[])).
% 4.48/3.37 tff(7712,plain,
% 4.48/3.37 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s92, c_n2) | (~node8(s92)))),
% 4.48/3.37 inference(quant_inst,[status(thm)],[])).
% 4.48/3.37 tff(7713,plain,
% 4.48/3.37 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s92, c_n2) | (~node8(s92))),
% 4.48/3.37 inference(modus_ponens,[status(thm)],[7712, 7711])).
% 4.48/3.37 tff(7714,plain,
% 4.48/3.37 (~node8(s92)),
% 4.48/3.37 inference(unit_resolution,[status(thm)],[7713, 271, 7710])).
% 4.48/3.37 tff(7715,plain,
% 4.48/3.37 (succ(s92, s93) <=> succ(s92, s93)),
% 4.48/3.37 inference(rewrite,[status(thm)],[])).
% 4.48/3.37 tff(7716,axiom,(succ(s92, s93)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound93')).
% 4.48/3.37 tff(7717,plain,
% 4.48/3.37 (succ(s92, s93)),
% 4.48/3.37 inference(modus_ponens,[status(thm)],[7716, 7715])).
% 4.48/3.37 tff(7718,plain,
% 4.48/3.37 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s92, s93)) | trans(s92, s93))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s92, s93)) | trans(s92, s93))),
% 4.48/3.37 inference(rewrite,[status(thm)],[])).
% 4.48/3.37 tff(7719,plain,
% 4.48/3.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s92, s93)) | trans(s92, s93))),
% 4.48/3.37 inference(quant_inst,[status(thm)],[])).
% 4.48/3.37 tff(7720,plain,
% 4.48/3.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s92, s93)) | trans(s92, s93)),
% 4.48/3.37 inference(modus_ponens,[status(thm)],[7719, 7718])).
% 4.48/3.37 tff(7721,plain,
% 4.48/3.37 (trans(s92, s93)),
% 4.48/3.37 inference(unit_resolution,[status(thm)],[7720, 7717, 32])).
% 4.48/3.37 tff(7722,plain,
% 4.48/3.37 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s92, s93)) | node14(s92, s93))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s92, s93)) | node14(s92, s93))),
% 4.48/3.37 inference(rewrite,[status(thm)],[])).
% 4.48/3.37 tff(7723,plain,
% 4.48/3.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s92, s93)) | node14(s92, s93))),
% 4.48/3.37 inference(quant_inst,[status(thm)],[])).
% 4.48/3.37 tff(7724,plain,
% 4.48/3.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s92, s93)) | node14(s92, s93)),
% 4.48/3.37 inference(modus_ponens,[status(thm)],[7723, 7722])).
% 4.48/3.37 tff(7725,plain,
% 4.48/3.37 (node14(s92, s93)),
% 4.48/3.37 inference(unit_resolution,[status(thm)],[7724, 46, 7721])).
% 4.48/3.37 tff(7726,plain,
% 4.48/3.37 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s93, c_n2) | node9(s92) | node8(s92) | node10(s92) | node11(s92) | node12(s92) | (~node14(s92, s93)) | (~m_main_v_state2(s92, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s93, c_n2) | node9(s92) | node8(s92) | node10(s92) | node11(s92) | node12(s92) | (~node14(s92, s93)) | (~m_main_v_state2(s92, c_c2)))),
% 4.48/3.37 inference(rewrite,[status(thm)],[])).
% 4.48/3.37 tff(7727,plain,
% 4.48/3.37 (((~m_main_v_state2(s92, c_c2)) | node9(s92) | node8(s92) | node10(s92) | node11(s92) | node12(s92) | (~node14(s92, s93)) | m_main_v_state2(s93, c_n2)) <=> (m_main_v_state2(s93, c_n2) | node9(s92) | node8(s92) | node10(s92) | node11(s92) | node12(s92) | (~node14(s92, s93)) | (~m_main_v_state2(s92, c_c2)))),
% 4.48/3.37 inference(rewrite,[status(thm)],[])).
% 4.48/3.37 tff(7728,plain,
% 4.48/3.37 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s92, c_c2)) | node9(s92) | node8(s92) | node10(s92) | node11(s92) | node12(s92) | (~node14(s92, s93)) | m_main_v_state2(s93, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s93, c_n2) | node9(s92) | node8(s92) | node10(s92) | node11(s92) | node12(s92) | (~node14(s92, s93)) | (~m_main_v_state2(s92, c_c2))))),
% 4.48/3.37 inference(monotonicity,[status(thm)],[7727])).
% 4.48/3.37 tff(7729,plain,
% 4.48/3.37 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s92, c_c2)) | node9(s92) | node8(s92) | node10(s92) | node11(s92) | node12(s92) | (~node14(s92, s93)) | m_main_v_state2(s93, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s93, c_n2) | node9(s92) | node8(s92) | node10(s92) | node11(s92) | node12(s92) | (~node14(s92, s93)) | (~m_main_v_state2(s92, c_c2)))),
% 4.48/3.37 inference(transitivity,[status(thm)],[7728, 7726])).
% 4.48/3.37 tff(7730,plain,
% 4.48/3.37 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s92, c_c2)) | node9(s92) | node8(s92) | node10(s92) | node11(s92) | node12(s92) | (~node14(s92, s93)) | m_main_v_state2(s93, c_n2))),
% 4.48/3.37 inference(quant_inst,[status(thm)],[])).
% 4.48/3.37 tff(7731,plain,
% 4.48/3.37 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s93, c_n2) | node9(s92) | node8(s92) | node10(s92) | node11(s92) | node12(s92) | (~node14(s92, s93)) | (~m_main_v_state2(s92, c_c2))),
% 4.48/3.37 inference(modus_ponens,[status(thm)],[7730, 7729])).
% 4.48/3.37 tff(7732,plain,
% 4.48/3.37 (m_main_v_state2(s93, c_n2) | node9(s92) | node8(s92) | node10(s92) | node11(s92) | node12(s92) | (~m_main_v_state2(s92, c_c2))),
% 4.48/3.37 inference(unit_resolution,[status(thm)],[7731, 726, 7725])).
% 4.48/3.37 tff(7733,plain,
% 4.48/3.37 (m_main_v_state2(s93, c_n2)),
% 4.48/3.37 inference(unit_resolution,[status(thm)],[7732, 7714, 7669, 7706, 7702, 7694, 7677])).
% 4.48/3.37 tff(7734,plain,
% 4.48/3.37 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s93, c_n2)) | (~m_main_v_state2(s93, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s93, c_n2)) | (~m_main_v_state2(s93, c_c2)))),
% 4.48/3.37 inference(rewrite,[status(thm)],[])).
% 4.48/3.37 tff(7735,plain,
% 4.48/3.37 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s93, c_n2)) | (~m_main_v_state2(s93, c_c2)))),
% 4.48/3.37 inference(quant_inst,[status(thm)],[])).
% 4.48/3.37 tff(7736,plain,
% 4.48/3.37 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s93, c_n2)) | (~m_main_v_state2(s93, c_c2))),
% 4.48/3.37 inference(modus_ponens,[status(thm)],[7735, 7734])).
% 4.48/3.37 tff(7737,plain,
% 4.48/3.37 (~m_main_v_state2(s93, c_c2)),
% 4.48/3.37 inference(unit_resolution,[status(thm)],[7736, 697, 7733])).
% 4.48/3.37 tff(7738,plain,
% 4.48/3.37 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s93, c_c2) | (~node3(s93)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s93, c_c2) | (~node3(s93)))),
% 4.48/3.37 inference(rewrite,[status(thm)],[])).
% 4.48/3.37 tff(7739,plain,
% 4.48/3.37 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s93, c_c2) | (~node3(s93)))),
% 4.48/3.37 inference(quant_inst,[status(thm)],[])).
% 4.48/3.37 tff(7740,plain,
% 4.48/3.37 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s93, c_c2) | (~node3(s93))),
% 4.48/3.37 inference(modus_ponens,[status(thm)],[7739, 7738])).
% 4.48/3.37 tff(7741,plain,
% 4.48/3.37 (~node3(s93)),
% 4.48/3.37 inference(unit_resolution,[status(thm)],[7740, 399, 7737])).
% 4.48/3.37 tff(7742,plain,
% 4.48/3.37 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s92, c_n1) | (~node1(s92)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s92, c_n1) | (~node1(s92)))),
% 4.48/3.37 inference(rewrite,[status(thm)],[])).
% 4.48/3.37 tff(7743,plain,
% 4.48/3.37 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s92, c_n1) | (~node1(s92)))),
% 4.48/3.37 inference(quant_inst,[status(thm)],[])).
% 4.48/3.37 tff(7744,plain,
% 4.48/3.37 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s92, c_n1) | (~node1(s92))),
% 4.48/3.37 inference(modus_ponens,[status(thm)],[7743, 7742])).
% 4.48/3.37 tff(7745,plain,
% 4.48/3.37 (~node1(s92)),
% 4.48/3.37 inference(unit_resolution,[status(thm)],[7744, 421, 7690])).
% 4.48/3.37 tff(7746,plain,
% 4.48/3.37 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s91, s92)) | node18(s91, s92))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s91, s92)) | node18(s91, s92))),
% 4.48/3.37 inference(rewrite,[status(thm)],[])).
% 4.48/3.37 tff(7747,plain,
% 4.48/3.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s91, s92)) | node18(s91, s92))),
% 4.48/3.37 inference(quant_inst,[status(thm)],[])).
% 4.48/3.37 tff(7748,plain,
% 4.48/3.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s91, s92)) | node18(s91, s92)),
% 4.48/3.37 inference(modus_ponens,[status(thm)],[7747, 7746])).
% 4.48/3.37 tff(7749,plain,
% 4.48/3.37 (node18(s91, s92)),
% 4.48/3.37 inference(unit_resolution,[status(thm)],[7748, 125, 7660])).
% 4.48/3.37 tff(7750,plain,
% 4.48/3.37 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s91, c_n1)) | (~m_main_v_state2(s91, c_t2)) | (~node18(s91, s92)) | m_main_v_turn(s92, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s91, c_n1)) | (~m_main_v_state2(s91, c_t2)) | (~node18(s91, s92)) | m_main_v_turn(s92, c_2))),
% 4.48/3.37 inference(rewrite,[status(thm)],[])).
% 4.48/3.37 tff(7751,plain,
% 4.48/3.37 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s91, c_n1)) | (~m_main_v_state2(s91, c_t2)) | (~node18(s91, s92)) | m_main_v_turn(s92, c_2))),
% 4.48/3.37 inference(quant_inst,[status(thm)],[])).
% 4.48/3.37 tff(7752,plain,
% 4.48/3.37 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s91, c_n1)) | (~m_main_v_state2(s91, c_t2)) | (~node18(s91, s92)) | m_main_v_turn(s92, c_2)),
% 4.48/3.37 inference(modus_ponens,[status(thm)],[7751, 7750])).
% 4.48/3.37 tff(7753,plain,
% 4.48/3.37 ((~m_main_v_state1(s91, c_n1)) | (~m_main_v_state2(s91, c_t2)) | m_main_v_turn(s92, c_2)),
% 4.48/3.37 inference(unit_resolution,[status(thm)],[7752, 760, 7749])).
% 4.48/3.37 tff(7754,plain,
% 4.48/3.37 (m_main_v_turn(s92, c_2)),
% 4.48/3.37 inference(unit_resolution,[status(thm)],[7753, 7613, 7649])).
% 4.48/3.37 tff(7755,plain,
% 4.48/3.37 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s92, c_1)) | (~m_main_v_turn(s92, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s92, c_1)) | (~m_main_v_turn(s92, c_2)))),
% 4.48/3.37 inference(rewrite,[status(thm)],[])).
% 4.48/3.37 tff(7756,plain,
% 4.48/3.37 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s92, c_1)) | (~m_main_v_turn(s92, c_2)))),
% 4.48/3.37 inference(quant_inst,[status(thm)],[])).
% 4.48/3.37 tff(7757,plain,
% 4.48/3.37 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s92, c_1)) | (~m_main_v_turn(s92, c_2))),
% 4.48/3.37 inference(modus_ponens,[status(thm)],[7756, 7755])).
% 4.48/3.37 tff(7758,plain,
% 4.48/3.37 (~m_main_v_turn(s92, c_1)),
% 4.48/3.37 inference(unit_resolution,[status(thm)],[7757, 156, 7754])).
% 4.48/3.37 tff(7759,plain,
% 4.48/3.37 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s92, c_1) | (~node5(s92)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s92, c_1) | (~node5(s92)))),
% 4.48/3.37 inference(rewrite,[status(thm)],[])).
% 4.48/3.37 tff(7760,plain,
% 4.48/3.37 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s92, c_1) | (~node5(s92)))),
% 4.48/3.37 inference(quant_inst,[status(thm)],[])).
% 4.48/3.37 tff(7761,plain,
% 4.48/3.37 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s92, c_1) | (~node5(s92))),
% 4.48/3.37 inference(modus_ponens,[status(thm)],[7760, 7759])).
% 4.48/3.37 tff(7762,plain,
% 4.48/3.37 (~node5(s92)),
% 4.48/3.37 inference(unit_resolution,[status(thm)],[7761, 776, 7758])).
% 4.48/3.37 tff(7763,plain,
% 4.48/3.37 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s92, c_n1) | (~node2(s92)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s92, c_n1) | (~node2(s92)))),
% 4.48/3.37 inference(rewrite,[status(thm)],[])).
% 4.48/3.37 tff(7764,plain,
% 4.48/3.37 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s92, c_n1) | (~node2(s92)))),
% 4.48/3.37 inference(quant_inst,[status(thm)],[])).
% 4.48/3.37 tff(7765,plain,
% 4.48/3.37 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s92, c_n1) | (~node2(s92))),
% 4.48/3.37 inference(modus_ponens,[status(thm)],[7764, 7763])).
% 4.48/3.37 tff(7766,plain,
% 4.48/3.37 (~node2(s92)),
% 4.48/3.37 inference(unit_resolution,[status(thm)],[7765, 787, 7690])).
% 4.48/3.37 tff(7767,plain,
% 4.48/3.37 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s92, c_n1) | (~node3(s92)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s92, c_n1) | (~node3(s92)))),
% 4.48/3.37 inference(rewrite,[status(thm)],[])).
% 4.48/3.37 tff(7768,plain,
% 4.48/3.37 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s92, c_n1) | (~node3(s92)))),
% 4.48/3.37 inference(quant_inst,[status(thm)],[])).
% 4.48/3.37 tff(7769,plain,
% 4.48/3.37 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s92, c_n1) | (~node3(s92))),
% 4.48/3.37 inference(modus_ponens,[status(thm)],[7768, 7767])).
% 4.48/3.37 tff(7770,plain,
% 4.48/3.37 (~node3(s92)),
% 4.48/3.37 inference(unit_resolution,[status(thm)],[7769, 798, 7690])).
% 4.48/3.37 tff(7771,plain,
% 4.48/3.37 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s92, c_n2) | (~node4(s92)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s92, c_n2) | (~node4(s92)))),
% 4.48/3.37 inference(rewrite,[status(thm)],[])).
% 4.48/3.37 tff(7772,plain,
% 4.48/3.37 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s92, c_n2) | (~node4(s92)))),
% 4.48/3.37 inference(quant_inst,[status(thm)],[])).
% 4.48/3.37 tff(7773,plain,
% 4.48/3.37 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s92, c_n2) | (~node4(s92))),
% 4.48/3.37 inference(modus_ponens,[status(thm)],[7772, 7771])).
% 4.48/3.37 tff(7774,plain,
% 4.48/3.37 (~node4(s92)),
% 4.48/3.37 inference(unit_resolution,[status(thm)],[7773, 388, 7710])).
% 4.48/3.37 tff(7775,plain,
% 4.48/3.37 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s92, s93)) | node7(s92, s93))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s92, s93)) | node7(s92, s93))),
% 4.48/3.37 inference(rewrite,[status(thm)],[])).
% 4.48/3.37 tff(7776,plain,
% 4.48/3.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s92, s93)) | node7(s92, s93))),
% 4.48/3.37 inference(quant_inst,[status(thm)],[])).
% 4.48/3.37 tff(7777,plain,
% 4.48/3.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s92, s93)) | node7(s92, s93)),
% 4.48/3.37 inference(modus_ponens,[status(thm)],[7776, 7775])).
% 4.48/3.37 tff(7778,plain,
% 4.48/3.37 (node7(s92, s93)),
% 4.48/3.37 inference(unit_resolution,[status(thm)],[7777, 206, 7721])).
% 4.54/3.38 tff(7779,plain,
% 4.54/3.38 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s92, c_c1) | node1(s92) | node2(s92) | node3(s92) | node4(s92) | node5(s92) | node6(s92, s93) | (~node7(s92, s93)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s92, c_c1) | node1(s92) | node2(s92) | node3(s92) | node4(s92) | node5(s92) | node6(s92, s93) | (~node7(s92, s93)))),
% 4.54/3.38 inference(rewrite,[status(thm)],[])).
% 4.54/3.38 tff(7780,plain,
% 4.54/3.38 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s92, c_c1) | node1(s92) | node2(s92) | node3(s92) | node4(s92) | node5(s92) | node6(s92, s93) | (~node7(s92, s93)))),
% 4.54/3.38 inference(quant_inst,[status(thm)],[])).
% 4.54/3.38 tff(7781,plain,
% 4.54/3.38 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s92, c_c1) | node1(s92) | node2(s92) | node3(s92) | node4(s92) | node5(s92) | node6(s92, s93) | (~node7(s92, s93))),
% 4.54/3.38 inference(modus_ponens,[status(thm)],[7780, 7779])).
% 4.54/3.38 tff(7782,plain,
% 4.54/3.38 (m_main_v_state1(s92, c_c1) | node1(s92) | node2(s92) | node3(s92) | node4(s92) | node5(s92) | node6(s92, s93)),
% 4.54/3.38 inference(unit_resolution,[status(thm)],[7781, 820, 7778])).
% 4.54/3.38 tff(7783,plain,
% 4.54/3.38 (node6(s92, s93)),
% 4.54/3.38 inference(unit_resolution,[status(thm)],[7782, 7774, 7698, 7770, 7766, 7762, 7745])).
% 4.54/3.38 tff(7784,plain,
% 4.54/3.38 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s92, c_n1) | (~m_main_v_state1(s93, c_n1)) | (~node6(s92, s93)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s92, c_n1) | (~m_main_v_state1(s93, c_n1)) | (~node6(s92, s93)))),
% 4.54/3.38 inference(rewrite,[status(thm)],[])).
% 4.54/3.38 tff(7785,plain,
% 4.54/3.38 (((~node6(s92, s93)) | m_main_v_state1(s92, c_n1) | (~m_main_v_state1(s93, c_n1))) <=> (m_main_v_state1(s92, c_n1) | (~m_main_v_state1(s93, c_n1)) | (~node6(s92, s93)))),
% 4.54/3.38 inference(rewrite,[status(thm)],[])).
% 4.54/3.38 tff(7786,plain,
% 4.54/3.38 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s92, s93)) | m_main_v_state1(s92, c_n1) | (~m_main_v_state1(s93, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s92, c_n1) | (~m_main_v_state1(s93, c_n1)) | (~node6(s92, s93))))),
% 4.54/3.38 inference(monotonicity,[status(thm)],[7785])).
% 4.54/3.38 tff(7787,plain,
% 4.54/3.38 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s92, s93)) | m_main_v_state1(s92, c_n1) | (~m_main_v_state1(s93, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s92, c_n1) | (~m_main_v_state1(s93, c_n1)) | (~node6(s92, s93)))),
% 4.54/3.38 inference(transitivity,[status(thm)],[7786, 7784])).
% 4.54/3.38 tff(7788,plain,
% 4.54/3.38 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s92, s93)) | m_main_v_state1(s92, c_n1) | (~m_main_v_state1(s93, c_n1)))),
% 4.54/3.38 inference(quant_inst,[status(thm)],[])).
% 4.54/3.38 tff(7789,plain,
% 4.54/3.38 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s92, c_n1) | (~m_main_v_state1(s93, c_n1)) | (~node6(s92, s93))),
% 4.54/3.38 inference(modus_ponens,[status(thm)],[7788, 7787])).
% 4.54/3.38 tff(7790,plain,
% 4.54/3.38 (~m_main_v_state1(s93, c_n1)),
% 4.54/3.38 inference(unit_resolution,[status(thm)],[7789, 835, 7690, 7783])).
% 4.54/3.38 tff(7791,plain,
% 4.54/3.38 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s93, c_n1) | (~node2(s93)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s93, c_n1) | (~node2(s93)))),
% 4.54/3.38 inference(rewrite,[status(thm)],[])).
% 4.54/3.38 tff(7792,plain,
% 4.54/3.38 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s93, c_n1) | (~node2(s93)))),
% 4.54/3.38 inference(quant_inst,[status(thm)],[])).
% 4.54/3.38 tff(7793,plain,
% 4.54/3.38 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s93, c_n1) | (~node2(s93))),
% 4.54/3.38 inference(modus_ponens,[status(thm)],[7792, 7791])).
% 4.54/3.38 tff(7794,plain,
% 4.54/3.38 (~node2(s93)),
% 4.54/3.38 inference(unit_resolution,[status(thm)],[7793, 787, 7790])).
% 4.54/3.38 tff(7795,plain,
% 4.54/3.38 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s92, c_t1)) | m_main_v_state1(s93, c_t1) | (~node6(s92, s93)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s92, c_t1)) | m_main_v_state1(s93, c_t1) | (~node6(s92, s93)))),
% 4.54/3.38 inference(rewrite,[status(thm)],[])).
% 4.54/3.38 tff(7796,plain,
% 4.54/3.38 (((~node6(s92, s93)) | (~m_main_v_state1(s92, c_t1)) | m_main_v_state1(s93, c_t1)) <=> ((~m_main_v_state1(s92, c_t1)) | m_main_v_state1(s93, c_t1) | (~node6(s92, s93)))),
% 4.54/3.38 inference(rewrite,[status(thm)],[])).
% 4.54/3.38 tff(7797,plain,
% 4.54/3.38 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s92, s93)) | (~m_main_v_state1(s92, c_t1)) | m_main_v_state1(s93, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s92, c_t1)) | m_main_v_state1(s93, c_t1) | (~node6(s92, s93))))),
% 4.54/3.38 inference(monotonicity,[status(thm)],[7796])).
% 4.54/3.38 tff(7798,plain,
% 4.54/3.38 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s92, s93)) | (~m_main_v_state1(s92, c_t1)) | m_main_v_state1(s93, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s92, c_t1)) | m_main_v_state1(s93, c_t1) | (~node6(s92, s93)))),
% 4.54/3.38 inference(transitivity,[status(thm)],[7797, 7795])).
% 4.54/3.38 tff(7799,plain,
% 4.54/3.38 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s92, s93)) | (~m_main_v_state1(s92, c_t1)) | m_main_v_state1(s93, c_t1))),
% 4.54/3.38 inference(quant_inst,[status(thm)],[])).
% 4.54/3.38 tff(7800,plain,
% 4.54/3.38 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s92, c_t1)) | m_main_v_state1(s93, c_t1) | (~node6(s92, s93))),
% 4.54/3.38 inference(modus_ponens,[status(thm)],[7799, 7798])).
% 4.54/3.38 tff(7801,plain,
% 4.54/3.38 (m_main_v_state1(s93, c_t1)),
% 4.54/3.38 inference(unit_resolution,[status(thm)],[7800, 856, 7686, 7783])).
% 4.54/3.38 tff(7802,plain,
% 4.54/3.38 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s93, c_n2)) | (~m_main_v_state2(s93, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s93, c_n2)) | (~m_main_v_state2(s93, c_t2)))),
% 4.54/3.38 inference(rewrite,[status(thm)],[])).
% 4.54/3.38 tff(7803,plain,
% 4.54/3.38 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s93, c_n2)) | (~m_main_v_state2(s93, c_t2)))),
% 4.54/3.38 inference(quant_inst,[status(thm)],[])).
% 4.54/3.38 tff(7804,plain,
% 4.54/3.38 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s93, c_n2)) | (~m_main_v_state2(s93, c_t2))),
% 4.54/3.38 inference(modus_ponens,[status(thm)],[7803, 7802])).
% 4.54/3.38 tff(7805,plain,
% 4.54/3.38 (~m_main_v_state2(s93, c_t2)),
% 4.54/3.38 inference(unit_resolution,[status(thm)],[7804, 77, 7733])).
% 4.54/3.38 tff(7806,plain,
% 4.54/3.38 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s93, c_t2) | (~node1(s93)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s93, c_t2) | (~node1(s93)))),
% 4.54/3.38 inference(rewrite,[status(thm)],[])).
% 4.54/3.38 tff(7807,plain,
% 4.54/3.38 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s93, c_t2) | (~node1(s93)))),
% 4.54/3.38 inference(quant_inst,[status(thm)],[])).
% 4.54/3.38 tff(7808,plain,
% 4.54/3.38 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s93, c_t2) | (~node1(s93))),
% 4.54/3.38 inference(modus_ponens,[status(thm)],[7807, 7806])).
% 4.54/3.38 tff(7809,plain,
% 4.54/3.38 (~node1(s93)),
% 4.54/3.38 inference(unit_resolution,[status(thm)],[7808, 195, 7805])).
% 4.54/3.38 tff(7810,plain,
% 4.54/3.38 (succ(s93, s94) <=> succ(s93, s94)),
% 4.54/3.38 inference(rewrite,[status(thm)],[])).
% 4.54/3.38 tff(7811,axiom,(succ(s93, s94)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound94')).
% 4.54/3.38 tff(7812,plain,
% 4.54/3.38 (succ(s93, s94)),
% 4.54/3.38 inference(modus_ponens,[status(thm)],[7811, 7810])).
% 4.54/3.38 tff(7813,plain,
% 4.54/3.38 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s93, s94)) | trans(s93, s94))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s93, s94)) | trans(s93, s94))),
% 4.54/3.38 inference(rewrite,[status(thm)],[])).
% 4.54/3.38 tff(7814,plain,
% 4.54/3.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s93, s94)) | trans(s93, s94))),
% 4.54/3.38 inference(quant_inst,[status(thm)],[])).
% 4.54/3.38 tff(7815,plain,
% 4.54/3.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s93, s94)) | trans(s93, s94)),
% 4.54/3.38 inference(modus_ponens,[status(thm)],[7814, 7813])).
% 4.54/3.38 tff(7816,plain,
% 4.54/3.38 (trans(s93, s94)),
% 4.54/3.38 inference(unit_resolution,[status(thm)],[7815, 7812, 32])).
% 4.54/3.38 tff(7817,plain,
% 4.54/3.38 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s93, s94)) | node7(s93, s94))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s93, s94)) | node7(s93, s94))),
% 4.54/3.38 inference(rewrite,[status(thm)],[])).
% 4.54/3.38 tff(7818,plain,
% 4.54/3.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s93, s94)) | node7(s93, s94))),
% 4.54/3.38 inference(quant_inst,[status(thm)],[])).
% 4.54/3.38 tff(7819,plain,
% 4.54/3.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s93, s94)) | node7(s93, s94)),
% 4.54/3.38 inference(modus_ponens,[status(thm)],[7818, 7817])).
% 4.54/3.38 tff(7820,plain,
% 4.54/3.38 (node7(s93, s94)),
% 4.54/3.38 inference(unit_resolution,[status(thm)],[7819, 206, 7816])).
% 4.54/3.38 tff(7821,plain,
% 4.54/3.38 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s93, c_t1)) | (~m_main_v_state2(s93, c_n2)) | m_main_v_state1(s94, c_c1) | node1(s93) | node2(s93) | node3(s93) | (~node7(s93, s94)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s93, c_t1)) | (~m_main_v_state2(s93, c_n2)) | m_main_v_state1(s94, c_c1) | node1(s93) | node2(s93) | node3(s93) | (~node7(s93, s94)))),
% 4.54/3.38 inference(rewrite,[status(thm)],[])).
% 4.54/3.38 tff(7822,plain,
% 4.54/3.38 (((~m_main_v_state1(s93, c_t1)) | (~m_main_v_state2(s93, c_n2)) | node1(s93) | node2(s93) | node3(s93) | (~node7(s93, s94)) | m_main_v_state1(s94, c_c1)) <=> ((~m_main_v_state1(s93, c_t1)) | (~m_main_v_state2(s93, c_n2)) | m_main_v_state1(s94, c_c1) | node1(s93) | node2(s93) | node3(s93) | (~node7(s93, s94)))),
% 4.54/3.38 inference(rewrite,[status(thm)],[])).
% 4.54/3.38 tff(7823,plain,
% 4.54/3.38 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s93, c_t1)) | (~m_main_v_state2(s93, c_n2)) | node1(s93) | node2(s93) | node3(s93) | (~node7(s93, s94)) | m_main_v_state1(s94, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s93, c_t1)) | (~m_main_v_state2(s93, c_n2)) | m_main_v_state1(s94, c_c1) | node1(s93) | node2(s93) | node3(s93) | (~node7(s93, s94))))),
% 4.54/3.38 inference(monotonicity,[status(thm)],[7822])).
% 4.54/3.38 tff(7824,plain,
% 4.54/3.38 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s93, c_t1)) | (~m_main_v_state2(s93, c_n2)) | node1(s93) | node2(s93) | node3(s93) | (~node7(s93, s94)) | m_main_v_state1(s94, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s93, c_t1)) | (~m_main_v_state2(s93, c_n2)) | m_main_v_state1(s94, c_c1) | node1(s93) | node2(s93) | node3(s93) | (~node7(s93, s94)))),
% 4.54/3.38 inference(transitivity,[status(thm)],[7823, 7821])).
% 4.54/3.38 tff(7825,plain,
% 4.54/3.38 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s93, c_t1)) | (~m_main_v_state2(s93, c_n2)) | node1(s93) | node2(s93) | node3(s93) | (~node7(s93, s94)) | m_main_v_state1(s94, c_c1))),
% 4.54/3.38 inference(quant_inst,[status(thm)],[])).
% 4.54/3.38 tff(7826,plain,
% 4.54/3.38 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s93, c_t1)) | (~m_main_v_state2(s93, c_n2)) | m_main_v_state1(s94, c_c1) | node1(s93) | node2(s93) | node3(s93) | (~node7(s93, s94))),
% 4.54/3.38 inference(modus_ponens,[status(thm)],[7825, 7824])).
% 4.54/3.38 tff(7827,plain,
% 4.54/3.38 ((~m_main_v_state1(s93, c_t1)) | (~m_main_v_state2(s93, c_n2)) | m_main_v_state1(s94, c_c1) | node1(s93) | node2(s93) | node3(s93)),
% 4.54/3.38 inference(unit_resolution,[status(thm)],[7826, 892, 7820])).
% 4.54/3.38 tff(7828,plain,
% 4.54/3.38 (m_main_v_state1(s94, c_c1)),
% 4.54/3.38 inference(unit_resolution,[status(thm)],[7827, 7809, 7733, 7801, 7794, 7741])).
% 4.54/3.38 tff(7829,plain,
% 4.54/3.38 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s94, c_t1)) | (~m_main_v_state1(s94, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s94, c_t1)) | (~m_main_v_state1(s94, c_c1)))),
% 4.54/3.38 inference(rewrite,[status(thm)],[])).
% 4.54/3.38 tff(7830,plain,
% 4.54/3.38 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s94, c_t1)) | (~m_main_v_state1(s94, c_c1)))),
% 4.54/3.38 inference(quant_inst,[status(thm)],[])).
% 4.54/3.38 tff(7831,plain,
% 4.54/3.38 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s94, c_t1)) | (~m_main_v_state1(s94, c_c1))),
% 4.54/3.38 inference(modus_ponens,[status(thm)],[7830, 7829])).
% 4.54/3.38 tff(7832,plain,
% 4.54/3.38 (~m_main_v_state1(s94, c_t1)),
% 4.54/3.38 inference(unit_resolution,[status(thm)],[7831, 539, 7828])).
% 4.54/3.38 tff(7833,plain,
% 4.54/3.38 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s94, c_t1) | (~node5(s94)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s94, c_t1) | (~node5(s94)))),
% 4.54/3.38 inference(rewrite,[status(thm)],[])).
% 4.54/3.38 tff(7834,plain,
% 4.54/3.38 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s94, c_t1) | (~node5(s94)))),
% 4.54/3.38 inference(quant_inst,[status(thm)],[])).
% 4.54/3.38 tff(7835,plain,
% 4.54/3.38 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s94, c_t1) | (~node5(s94))),
% 4.54/3.38 inference(modus_ponens,[status(thm)],[7834, 7833])).
% 4.54/3.38 tff(7836,plain,
% 4.54/3.38 (~node5(s94)),
% 4.54/3.38 inference(unit_resolution,[status(thm)],[7835, 550, 7832])).
% 4.54/3.38 tff(7837,plain,
% 4.54/3.38 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s93, s94)) | node14(s93, s94))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s93, s94)) | node14(s93, s94))),
% 4.54/3.38 inference(rewrite,[status(thm)],[])).
% 4.54/3.38 tff(7838,plain,
% 4.54/3.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s93, s94)) | node14(s93, s94))),
% 4.54/3.38 inference(quant_inst,[status(thm)],[])).
% 4.54/3.38 tff(7839,plain,
% 4.54/3.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s93, s94)) | node14(s93, s94)),
% 4.54/3.38 inference(modus_ponens,[status(thm)],[7838, 7837])).
% 4.54/3.38 tff(7840,plain,
% 4.54/3.38 (node14(s93, s94)),
% 4.54/3.38 inference(unit_resolution,[status(thm)],[7839, 46, 7816])).
% 4.54/3.38 tff(7841,plain,
% 4.54/3.38 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s93, c_t1)) | (~m_main_v_state2(s93, c_n2)) | (~node14(s93, s94)) | m_main_v_state2(s94, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s93, c_t1)) | (~m_main_v_state2(s93, c_n2)) | (~node14(s93, s94)) | m_main_v_state2(s94, c_t2))),
% 4.54/3.38 inference(rewrite,[status(thm)],[])).
% 4.54/3.38 tff(7842,plain,
% 4.54/3.38 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s93, c_t1)) | (~m_main_v_state2(s93, c_n2)) | (~node14(s93, s94)) | m_main_v_state2(s94, c_t2))),
% 4.54/3.38 inference(quant_inst,[status(thm)],[])).
% 4.54/3.38 tff(7843,plain,
% 4.54/3.38 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s93, c_t1)) | (~m_main_v_state2(s93, c_n2)) | (~node14(s93, s94)) | m_main_v_state2(s94, c_t2)),
% 4.54/3.38 inference(modus_ponens,[status(thm)],[7842, 7841])).
% 4.54/3.38 tff(7844,plain,
% 4.54/3.38 ((~m_main_v_state1(s93, c_t1)) | (~m_main_v_state2(s93, c_n2)) | m_main_v_state2(s94, c_t2)),
% 4.54/3.38 inference(unit_resolution,[status(thm)],[7843, 922, 7840])).
% 4.54/3.38 tff(7845,plain,
% 4.54/3.38 (m_main_v_state2(s94, c_t2)),
% 4.54/3.38 inference(unit_resolution,[status(thm)],[7844, 7801, 7733])).
% 4.54/3.38 tff(7846,plain,
% 4.54/3.38 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s94, c_n2)) | (~m_main_v_state2(s94, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s94, c_n2)) | (~m_main_v_state2(s94, c_t2)))),
% 4.54/3.38 inference(rewrite,[status(thm)],[])).
% 4.54/3.38 tff(7847,plain,
% 4.54/3.38 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s94, c_n2)) | (~m_main_v_state2(s94, c_t2)))),
% 4.54/3.38 inference(quant_inst,[status(thm)],[])).
% 4.54/3.38 tff(7848,plain,
% 4.54/3.38 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s94, c_n2)) | (~m_main_v_state2(s94, c_t2))),
% 4.54/3.38 inference(modus_ponens,[status(thm)],[7847, 7846])).
% 4.54/3.38 tff(7849,plain,
% 4.54/3.38 (~m_main_v_state2(s94, c_n2)),
% 4.54/3.38 inference(unit_resolution,[status(thm)],[7848, 77, 7845])).
% 4.54/3.38 tff(7850,plain,
% 4.54/3.38 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s94, c_n2) | (~node4(s94)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s94, c_n2) | (~node4(s94)))),
% 4.54/3.38 inference(rewrite,[status(thm)],[])).
% 4.54/3.38 tff(7851,plain,
% 4.54/3.38 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s94, c_n2) | (~node4(s94)))),
% 4.54/3.38 inference(quant_inst,[status(thm)],[])).
% 4.54/3.38 tff(7852,plain,
% 4.54/3.38 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s94, c_n2) | (~node4(s94))),
% 4.54/3.38 inference(modus_ponens,[status(thm)],[7851, 7850])).
% 4.54/3.38 tff(7853,plain,
% 4.54/3.38 (~node4(s94)),
% 4.54/3.38 inference(unit_resolution,[status(thm)],[7852, 388, 7849])).
% 4.54/3.38 tff(7854,plain,
% 4.54/3.38 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s94, c_t2)) | (~m_main_v_state2(s94, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s94, c_t2)) | (~m_main_v_state2(s94, c_c2)))),
% 4.54/3.38 inference(rewrite,[status(thm)],[])).
% 4.54/3.38 tff(7855,plain,
% 4.54/3.38 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s94, c_t2)) | (~m_main_v_state2(s94, c_c2)))),
% 4.54/3.38 inference(quant_inst,[status(thm)],[])).
% 4.54/3.38 tff(7856,plain,
% 4.54/3.38 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s94, c_t2)) | (~m_main_v_state2(s94, c_c2))),
% 4.54/3.38 inference(modus_ponens,[status(thm)],[7855, 7854])).
% 4.54/3.38 tff(7857,plain,
% 4.54/3.38 (~m_main_v_state2(s94, c_c2)),
% 4.54/3.38 inference(unit_resolution,[status(thm)],[7856, 260, 7845])).
% 4.54/3.38 tff(7858,plain,
% 4.54/3.38 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s94, c_c2) | (~node3(s94)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s94, c_c2) | (~node3(s94)))),
% 4.54/3.38 inference(rewrite,[status(thm)],[])).
% 4.54/3.38 tff(7859,plain,
% 4.54/3.38 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s94, c_c2) | (~node3(s94)))),
% 4.54/3.38 inference(quant_inst,[status(thm)],[])).
% 4.54/3.38 tff(7860,plain,
% 4.54/3.38 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s94, c_c2) | (~node3(s94))),
% 4.54/3.38 inference(modus_ponens,[status(thm)],[7859, 7858])).
% 4.54/3.38 tff(7861,plain,
% 4.54/3.38 (~node3(s94)),
% 4.54/3.38 inference(unit_resolution,[status(thm)],[7860, 399, 7857])).
% 4.54/3.38 tff(7862,plain,
% 4.54/3.38 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s94, c_n2) | (~node2(s94)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s94, c_n2) | (~node2(s94)))),
% 4.54/3.38 inference(rewrite,[status(thm)],[])).
% 4.54/3.38 tff(7863,plain,
% 4.54/3.38 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s94, c_n2) | (~node2(s94)))),
% 4.54/3.38 inference(quant_inst,[status(thm)],[])).
% 4.54/3.38 tff(7864,plain,
% 4.54/3.38 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s94, c_n2) | (~node2(s94))),
% 4.54/3.38 inference(modus_ponens,[status(thm)],[7863, 7862])).
% 4.54/3.38 tff(7865,plain,
% 4.54/3.38 (~node2(s94)),
% 4.54/3.38 inference(unit_resolution,[status(thm)],[7864, 410, 7849])).
% 4.54/3.38 tff(7866,plain,
% 4.54/3.38 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s94, c_n1)) | (~m_main_v_state1(s94, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s94, c_n1)) | (~m_main_v_state1(s94, c_c1)))),
% 4.54/3.38 inference(rewrite,[status(thm)],[])).
% 4.54/3.38 tff(7867,plain,
% 4.54/3.38 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s94, c_n1)) | (~m_main_v_state1(s94, c_c1)))),
% 4.54/3.38 inference(quant_inst,[status(thm)],[])).
% 4.54/3.38 tff(7868,plain,
% 4.54/3.38 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s94, c_n1)) | (~m_main_v_state1(s94, c_c1))),
% 4.54/3.38 inference(modus_ponens,[status(thm)],[7867, 7866])).
% 4.54/3.38 tff(7869,plain,
% 4.54/3.38 (~m_main_v_state1(s94, c_n1)),
% 4.54/3.38 inference(unit_resolution,[status(thm)],[7868, 454, 7828])).
% 4.54/3.38 tff(7870,plain,
% 4.54/3.38 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s94, c_n1) | (~node1(s94)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s94, c_n1) | (~node1(s94)))),
% 4.54/3.38 inference(rewrite,[status(thm)],[])).
% 4.54/3.38 tff(7871,plain,
% 4.54/3.38 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s94, c_n1) | (~node1(s94)))),
% 4.54/3.38 inference(quant_inst,[status(thm)],[])).
% 4.54/3.38 tff(7872,plain,
% 4.54/3.38 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s94, c_n1) | (~node1(s94))),
% 4.54/3.38 inference(modus_ponens,[status(thm)],[7871, 7870])).
% 4.54/3.38 tff(7873,plain,
% 4.54/3.38 (~node1(s94)),
% 4.54/3.38 inference(unit_resolution,[status(thm)],[7872, 421, 7869])).
% 4.54/3.38 tff(7874,plain,
% 4.54/3.38 (succ(s94, s95) <=> succ(s94, s95)),
% 4.54/3.38 inference(rewrite,[status(thm)],[])).
% 4.54/3.38 tff(7875,axiom,(succ(s94, s95)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound95')).
% 4.54/3.38 tff(7876,plain,
% 4.54/3.38 (succ(s94, s95)),
% 4.54/3.38 inference(modus_ponens,[status(thm)],[7875, 7874])).
% 4.54/3.38 tff(7877,plain,
% 4.54/3.38 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s94, s95)) | trans(s94, s95))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s94, s95)) | trans(s94, s95))),
% 4.54/3.38 inference(rewrite,[status(thm)],[])).
% 4.54/3.38 tff(7878,plain,
% 4.54/3.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s94, s95)) | trans(s94, s95))),
% 4.54/3.38 inference(quant_inst,[status(thm)],[])).
% 4.54/3.38 tff(7879,plain,
% 4.54/3.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s94, s95)) | trans(s94, s95)),
% 4.54/3.38 inference(modus_ponens,[status(thm)],[7878, 7877])).
% 4.54/3.38 tff(7880,plain,
% 4.54/3.38 (trans(s94, s95)),
% 4.54/3.38 inference(unit_resolution,[status(thm)],[7879, 7876, 32])).
% 4.54/3.38 tff(7881,plain,
% 4.54/3.38 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s94, s95)) | node7(s94, s95))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s94, s95)) | node7(s94, s95))),
% 4.54/3.38 inference(rewrite,[status(thm)],[])).
% 4.54/3.38 tff(7882,plain,
% 4.54/3.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s94, s95)) | node7(s94, s95))),
% 4.54/3.38 inference(quant_inst,[status(thm)],[])).
% 4.54/3.38 tff(7883,plain,
% 4.54/3.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s94, s95)) | node7(s94, s95)),
% 4.54/3.38 inference(modus_ponens,[status(thm)],[7882, 7881])).
% 4.54/3.38 tff(7884,plain,
% 4.54/3.38 (node7(s94, s95)),
% 4.54/3.38 inference(unit_resolution,[status(thm)],[7883, 206, 7880])).
% 4.54/3.38 tff(7885,plain,
% 4.54/3.38 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s95, c_n1) | (~m_main_v_state1(s94, c_c1)) | node1(s94) | node2(s94) | node3(s94) | node4(s94) | node5(s94) | (~node7(s94, s95)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s95, c_n1) | (~m_main_v_state1(s94, c_c1)) | node1(s94) | node2(s94) | node3(s94) | node4(s94) | node5(s94) | (~node7(s94, s95)))),
% 4.54/3.38 inference(rewrite,[status(thm)],[])).
% 4.54/3.38 tff(7886,plain,
% 4.54/3.38 (((~m_main_v_state1(s94, c_c1)) | node1(s94) | node2(s94) | node3(s94) | node4(s94) | node5(s94) | (~node7(s94, s95)) | m_main_v_state1(s95, c_n1)) <=> (m_main_v_state1(s95, c_n1) | (~m_main_v_state1(s94, c_c1)) | node1(s94) | node2(s94) | node3(s94) | node4(s94) | node5(s94) | (~node7(s94, s95)))),
% 4.54/3.38 inference(rewrite,[status(thm)],[])).
% 4.54/3.38 tff(7887,plain,
% 4.54/3.38 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s94, c_c1)) | node1(s94) | node2(s94) | node3(s94) | node4(s94) | node5(s94) | (~node7(s94, s95)) | m_main_v_state1(s95, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s95, c_n1) | (~m_main_v_state1(s94, c_c1)) | node1(s94) | node2(s94) | node3(s94) | node4(s94) | node5(s94) | (~node7(s94, s95))))),
% 4.54/3.38 inference(monotonicity,[status(thm)],[7886])).
% 4.54/3.38 tff(7888,plain,
% 4.54/3.38 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s94, c_c1)) | node1(s94) | node2(s94) | node3(s94) | node4(s94) | node5(s94) | (~node7(s94, s95)) | m_main_v_state1(s95, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s95, c_n1) | (~m_main_v_state1(s94, c_c1)) | node1(s94) | node2(s94) | node3(s94) | node4(s94) | node5(s94) | (~node7(s94, s95)))),
% 4.54/3.38 inference(transitivity,[status(thm)],[7887, 7885])).
% 4.54/3.38 tff(7889,plain,
% 4.54/3.38 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s94, c_c1)) | node1(s94) | node2(s94) | node3(s94) | node4(s94) | node5(s94) | (~node7(s94, s95)) | m_main_v_state1(s95, c_n1))),
% 4.54/3.38 inference(quant_inst,[status(thm)],[])).
% 4.54/3.38 tff(7890,plain,
% 4.54/3.38 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s95, c_n1) | (~m_main_v_state1(s94, c_c1)) | node1(s94) | node2(s94) | node3(s94) | node4(s94) | node5(s94) | (~node7(s94, s95))),
% 4.54/3.38 inference(modus_ponens,[status(thm)],[7889, 7888])).
% 4.54/3.38 tff(7891,plain,
% 4.54/3.38 (m_main_v_state1(s95, c_n1) | (~m_main_v_state1(s94, c_c1)) | node1(s94) | node2(s94) | node3(s94) | node4(s94) | node5(s94)),
% 4.54/3.38 inference(unit_resolution,[status(thm)],[7890, 584, 7884])).
% 4.54/3.38 tff(7892,plain,
% 4.54/3.38 (m_main_v_state1(s95, c_n1)),
% 4.54/3.38 inference(unit_resolution,[status(thm)],[7891, 7873, 7828, 7865, 7861, 7853, 7836])).
% 4.54/3.38 tff(7893,plain,
% 4.54/3.38 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s93, c_t2) | (~node15(s93)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s93, c_t2) | (~node15(s93)))),
% 4.54/3.38 inference(rewrite,[status(thm)],[])).
% 4.54/3.38 tff(7894,plain,
% 4.54/3.38 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s93, c_t2) | (~node15(s93)))),
% 4.54/3.38 inference(quant_inst,[status(thm)],[])).
% 4.54/3.39 tff(7895,plain,
% 4.54/3.39 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s93, c_t2) | (~node15(s93))),
% 4.54/3.39 inference(modus_ponens,[status(thm)],[7894, 7893])).
% 4.54/3.39 tff(7896,plain,
% 4.54/3.39 (~node15(s93)),
% 4.54/3.39 inference(unit_resolution,[status(thm)],[7895, 103, 7805])).
% 4.54/3.39 tff(7897,plain,
% 4.54/3.39 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s93, s94)) | node18(s93, s94))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s93, s94)) | node18(s93, s94))),
% 4.54/3.39 inference(rewrite,[status(thm)],[])).
% 4.54/3.39 tff(7898,plain,
% 4.54/3.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s93, s94)) | node18(s93, s94))),
% 4.54/3.39 inference(quant_inst,[status(thm)],[])).
% 4.54/3.39 tff(7899,plain,
% 4.54/3.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s93, s94)) | node18(s93, s94)),
% 4.54/3.39 inference(modus_ponens,[status(thm)],[7898, 7897])).
% 4.54/3.39 tff(7900,plain,
% 4.54/3.39 (node18(s93, s94)),
% 4.54/3.39 inference(unit_resolution,[status(thm)],[7899, 125, 7816])).
% 4.54/3.39 tff(7901,plain,
% 4.54/3.39 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s93) | (~node18(s93, s94)) | (~m_main_v_state1(s93, c_t1)) | (~m_main_v_state2(s93, c_n2)) | m_main_v_turn(s94, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s93) | (~node18(s93, s94)) | (~m_main_v_state1(s93, c_t1)) | (~m_main_v_state2(s93, c_n2)) | m_main_v_turn(s94, c_1))),
% 4.54/3.39 inference(rewrite,[status(thm)],[])).
% 4.54/3.39 tff(7902,plain,
% 4.54/3.39 (((~m_main_v_state1(s93, c_t1)) | (~m_main_v_state2(s93, c_n2)) | node15(s93) | (~node18(s93, s94)) | m_main_v_turn(s94, c_1)) <=> (node15(s93) | (~node18(s93, s94)) | (~m_main_v_state1(s93, c_t1)) | (~m_main_v_state2(s93, c_n2)) | m_main_v_turn(s94, c_1))),
% 4.54/3.39 inference(rewrite,[status(thm)],[])).
% 4.54/3.39 tff(7903,plain,
% 4.54/3.39 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s93, c_t1)) | (~m_main_v_state2(s93, c_n2)) | node15(s93) | (~node18(s93, s94)) | m_main_v_turn(s94, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s93) | (~node18(s93, s94)) | (~m_main_v_state1(s93, c_t1)) | (~m_main_v_state2(s93, c_n2)) | m_main_v_turn(s94, c_1)))),
% 4.54/3.39 inference(monotonicity,[status(thm)],[7902])).
% 4.54/3.39 tff(7904,plain,
% 4.54/3.39 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s93, c_t1)) | (~m_main_v_state2(s93, c_n2)) | node15(s93) | (~node18(s93, s94)) | m_main_v_turn(s94, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s93) | (~node18(s93, s94)) | (~m_main_v_state1(s93, c_t1)) | (~m_main_v_state2(s93, c_n2)) | m_main_v_turn(s94, c_1))),
% 4.54/3.39 inference(transitivity,[status(thm)],[7903, 7901])).
% 4.54/3.39 tff(7905,plain,
% 4.54/3.39 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s93, c_t1)) | (~m_main_v_state2(s93, c_n2)) | node15(s93) | (~node18(s93, s94)) | m_main_v_turn(s94, c_1))),
% 4.54/3.39 inference(quant_inst,[status(thm)],[])).
% 4.54/3.39 tff(7906,plain,
% 4.54/3.39 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s93) | (~node18(s93, s94)) | (~m_main_v_state1(s93, c_t1)) | (~m_main_v_state2(s93, c_n2)) | m_main_v_turn(s94, c_1)),
% 4.54/3.39 inference(modus_ponens,[status(thm)],[7905, 7904])).
% 4.54/3.39 tff(7907,plain,
% 4.54/3.39 (node15(s93) | (~m_main_v_state1(s93, c_t1)) | (~m_main_v_state2(s93, c_n2)) | m_main_v_turn(s94, c_1)),
% 4.54/3.39 inference(unit_resolution,[status(thm)],[7906, 992, 7900])).
% 4.54/3.39 tff(7908,plain,
% 4.54/3.39 (m_main_v_turn(s94, c_1)),
% 4.54/3.39 inference(unit_resolution,[status(thm)],[7907, 7896, 7733, 7801])).
% 4.54/3.39 tff(7909,plain,
% 4.54/3.39 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s94, c_1)) | (~m_main_v_turn(s94, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s94, c_1)) | (~m_main_v_turn(s94, c_2)))),
% 4.54/3.39 inference(rewrite,[status(thm)],[])).
% 4.54/3.39 tff(7910,plain,
% 4.54/3.39 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s94, c_1)) | (~m_main_v_turn(s94, c_2)))),
% 4.54/3.39 inference(quant_inst,[status(thm)],[])).
% 4.54/3.39 tff(7911,plain,
% 4.54/3.39 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s94, c_1)) | (~m_main_v_turn(s94, c_2))),
% 4.54/3.39 inference(modus_ponens,[status(thm)],[7910, 7909])).
% 4.54/3.39 tff(7912,plain,
% 4.54/3.39 (~m_main_v_turn(s94, c_2)),
% 4.54/3.39 inference(unit_resolution,[status(thm)],[7911, 156, 7908])).
% 4.54/3.39 tff(7913,plain,
% 4.54/3.39 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s94, c_2) | (~node12(s94)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s94, c_2) | (~node12(s94)))),
% 4.54/3.39 inference(rewrite,[status(thm)],[])).
% 4.54/3.39 tff(7914,plain,
% 4.54/3.39 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s94, c_2) | (~node12(s94)))),
% 4.54/3.39 inference(quant_inst,[status(thm)],[])).
% 4.54/3.39 tff(7915,plain,
% 4.54/3.39 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s94, c_2) | (~node12(s94))),
% 4.54/3.39 inference(modus_ponens,[status(thm)],[7914, 7913])).
% 4.54/3.39 tff(7916,plain,
% 4.54/3.39 (~node12(s94)),
% 4.54/3.39 inference(unit_resolution,[status(thm)],[7915, 184, 7912])).
% 4.54/3.39 tff(7917,plain,
% 4.54/3.39 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s94, c_n2) | (~node8(s94)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s94, c_n2) | (~node8(s94)))),
% 4.54/3.39 inference(rewrite,[status(thm)],[])).
% 4.54/3.39 tff(7918,plain,
% 4.54/3.39 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s94, c_n2) | (~node8(s94)))),
% 4.54/3.39 inference(quant_inst,[status(thm)],[])).
% 4.54/3.39 tff(7919,plain,
% 4.54/3.39 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s94, c_n2) | (~node8(s94))),
% 4.54/3.39 inference(modus_ponens,[status(thm)],[7918, 7917])).
% 4.54/3.39 tff(7920,plain,
% 4.54/3.39 (~node8(s94)),
% 4.54/3.39 inference(unit_resolution,[status(thm)],[7919, 271, 7849])).
% 4.54/3.39 tff(7921,plain,
% 4.54/3.39 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s94, c_n2) | (~node9(s94)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s94, c_n2) | (~node9(s94)))),
% 4.54/3.39 inference(rewrite,[status(thm)],[])).
% 4.54/3.39 tff(7922,plain,
% 4.54/3.39 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s94, c_n2) | (~node9(s94)))),
% 4.54/3.39 inference(quant_inst,[status(thm)],[])).
% 4.54/3.39 tff(7923,plain,
% 4.54/3.39 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s94, c_n2) | (~node9(s94))),
% 4.54/3.39 inference(modus_ponens,[status(thm)],[7922, 7921])).
% 4.54/3.39 tff(7924,plain,
% 4.54/3.39 (~node9(s94)),
% 4.54/3.39 inference(unit_resolution,[status(thm)],[7923, 88, 7849])).
% 4.54/3.39 tff(7925,plain,
% 4.54/3.39 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s94, c_n2) | (~node10(s94)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s94, c_n2) | (~node10(s94)))),
% 4.54/3.39 inference(rewrite,[status(thm)],[])).
% 4.54/3.39 tff(7926,plain,
% 4.54/3.39 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s94, c_n2) | (~node10(s94)))),
% 4.54/3.39 inference(quant_inst,[status(thm)],[])).
% 4.54/3.39 tff(7927,plain,
% 4.54/3.39 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s94, c_n2) | (~node10(s94))),
% 4.54/3.39 inference(modus_ponens,[status(thm)],[7926, 7925])).
% 4.54/3.39 tff(7928,plain,
% 4.54/3.39 (~node10(s94)),
% 4.54/3.39 inference(unit_resolution,[status(thm)],[7927, 249, 7849])).
% 4.54/3.39 tff(7929,plain,
% 4.54/3.39 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s94, c_n1) | (~node11(s94)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s94, c_n1) | (~node11(s94)))),
% 4.54/3.39 inference(rewrite,[status(thm)],[])).
% 4.54/3.39 tff(7930,plain,
% 4.54/3.39 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s94, c_n1) | (~node11(s94)))),
% 4.54/3.39 inference(quant_inst,[status(thm)],[])).
% 4.54/3.39 tff(7931,plain,
% 4.54/3.39 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s94, c_n1) | (~node11(s94))),
% 4.54/3.39 inference(modus_ponens,[status(thm)],[7930, 7929])).
% 4.54/3.39 tff(7932,plain,
% 4.54/3.39 (~node11(s94)),
% 4.54/3.39 inference(unit_resolution,[status(thm)],[7931, 238, 7869])).
% 4.54/3.39 tff(7933,plain,
% 4.54/3.39 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s94, s95)) | node14(s94, s95))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s94, s95)) | node14(s94, s95))),
% 4.54/3.39 inference(rewrite,[status(thm)],[])).
% 4.54/3.39 tff(7934,plain,
% 4.54/3.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s94, s95)) | node14(s94, s95))),
% 4.54/3.39 inference(quant_inst,[status(thm)],[])).
% 4.54/3.39 tff(7935,plain,
% 4.54/3.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s94, s95)) | node14(s94, s95)),
% 4.54/3.39 inference(modus_ponens,[status(thm)],[7934, 7933])).
% 4.54/3.39 tff(7936,plain,
% 4.54/3.39 (node14(s94, s95)),
% 4.54/3.39 inference(unit_resolution,[status(thm)],[7935, 46, 7880])).
% 4.54/3.39 tff(7937,plain,
% 4.54/3.39 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s94, c_c2) | node9(s94) | node8(s94) | node10(s94) | node11(s94) | node12(s94) | node13(s94, s95) | (~node14(s94, s95)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s94, c_c2) | node9(s94) | node8(s94) | node10(s94) | node11(s94) | node12(s94) | node13(s94, s95) | (~node14(s94, s95)))),
% 4.54/3.39 inference(rewrite,[status(thm)],[])).
% 4.54/3.39 tff(7938,plain,
% 4.54/3.39 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s94, c_c2) | node9(s94) | node8(s94) | node10(s94) | node11(s94) | node12(s94) | node13(s94, s95) | (~node14(s94, s95)))),
% 4.54/3.39 inference(quant_inst,[status(thm)],[])).
% 4.54/3.39 tff(7939,plain,
% 4.54/3.39 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s94, c_c2) | node9(s94) | node8(s94) | node10(s94) | node11(s94) | node12(s94) | node13(s94, s95) | (~node14(s94, s95))),
% 4.54/3.39 inference(modus_ponens,[status(thm)],[7938, 7937])).
% 4.54/3.39 tff(7940,plain,
% 4.54/3.39 (m_main_v_state2(s94, c_c2) | node9(s94) | node8(s94) | node10(s94) | node11(s94) | node12(s94) | node13(s94, s95)),
% 4.54/3.39 inference(unit_resolution,[status(thm)],[7939, 296, 7936])).
% 4.54/3.39 tff(7941,plain,
% 4.54/3.39 (node13(s94, s95)),
% 4.54/3.39 inference(unit_resolution,[status(thm)],[7940, 7932, 7857, 7928, 7924, 7920, 7916])).
% 4.54/3.39 tff(7942,plain,
% 4.54/3.39 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s94, c_t2)) | m_main_v_state2(s95, c_t2) | (~node13(s94, s95)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s94, c_t2)) | m_main_v_state2(s95, c_t2) | (~node13(s94, s95)))),
% 4.54/3.39 inference(rewrite,[status(thm)],[])).
% 4.54/3.39 tff(7943,plain,
% 4.54/3.39 (((~node13(s94, s95)) | (~m_main_v_state2(s94, c_t2)) | m_main_v_state2(s95, c_t2)) <=> ((~m_main_v_state2(s94, c_t2)) | m_main_v_state2(s95, c_t2) | (~node13(s94, s95)))),
% 4.54/3.39 inference(rewrite,[status(thm)],[])).
% 4.54/3.39 tff(7944,plain,
% 4.54/3.39 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s94, s95)) | (~m_main_v_state2(s94, c_t2)) | m_main_v_state2(s95, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s94, c_t2)) | m_main_v_state2(s95, c_t2) | (~node13(s94, s95))))),
% 4.54/3.39 inference(monotonicity,[status(thm)],[7943])).
% 4.54/3.39 tff(7945,plain,
% 4.54/3.39 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s94, s95)) | (~m_main_v_state2(s94, c_t2)) | m_main_v_state2(s95, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s94, c_t2)) | m_main_v_state2(s95, c_t2) | (~node13(s94, s95)))),
% 4.54/3.39 inference(transitivity,[status(thm)],[7944, 7942])).
% 4.54/3.39 tff(7946,plain,
% 4.54/3.39 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s94, s95)) | (~m_main_v_state2(s94, c_t2)) | m_main_v_state2(s95, c_t2))),
% 4.54/3.39 inference(quant_inst,[status(thm)],[])).
% 4.54/3.39 tff(7947,plain,
% 4.54/3.39 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s94, c_t2)) | m_main_v_state2(s95, c_t2) | (~node13(s94, s95))),
% 4.54/3.39 inference(modus_ponens,[status(thm)],[7946, 7945])).
% 4.54/3.39 tff(7948,plain,
% 4.54/3.39 (m_main_v_state2(s95, c_t2)),
% 4.54/3.39 inference(unit_resolution,[status(thm)],[7947, 518, 7845, 7941])).
% 4.54/3.39 tff(7949,plain,
% 4.54/3.39 (succ(s95, s96) <=> succ(s95, s96)),
% 4.54/3.39 inference(rewrite,[status(thm)],[])).
% 4.54/3.39 tff(7950,axiom,(succ(s95, s96)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound96')).
% 4.54/3.39 tff(7951,plain,
% 4.54/3.39 (succ(s95, s96)),
% 4.54/3.39 inference(modus_ponens,[status(thm)],[7950, 7949])).
% 4.54/3.39 tff(7952,plain,
% 4.54/3.39 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s95, s96)) | trans(s95, s96))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s95, s96)) | trans(s95, s96))),
% 4.54/3.39 inference(rewrite,[status(thm)],[])).
% 4.54/3.39 tff(7953,plain,
% 4.54/3.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s95, s96)) | trans(s95, s96))),
% 4.54/3.39 inference(quant_inst,[status(thm)],[])).
% 4.54/3.39 tff(7954,plain,
% 4.54/3.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s95, s96)) | trans(s95, s96)),
% 4.54/3.39 inference(modus_ponens,[status(thm)],[7953, 7952])).
% 4.54/3.39 tff(7955,plain,
% 4.54/3.39 (trans(s95, s96)),
% 4.54/3.39 inference(unit_resolution,[status(thm)],[7954, 7951, 32])).
% 4.54/3.39 tff(7956,plain,
% 4.54/3.39 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s95, s96)) | node7(s95, s96))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s95, s96)) | node7(s95, s96))),
% 4.54/3.39 inference(rewrite,[status(thm)],[])).
% 4.54/3.39 tff(7957,plain,
% 4.54/3.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s95, s96)) | node7(s95, s96))),
% 4.54/3.39 inference(quant_inst,[status(thm)],[])).
% 4.54/3.39 tff(7958,plain,
% 4.54/3.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s95, s96)) | node7(s95, s96)),
% 4.54/3.39 inference(modus_ponens,[status(thm)],[7957, 7956])).
% 4.54/3.39 tff(7959,plain,
% 4.54/3.39 (node7(s95, s96)),
% 4.54/3.39 inference(unit_resolution,[status(thm)],[7958, 206, 7955])).
% 4.54/3.39 tff(7960,plain,
% 4.54/3.39 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s95, c_n1)) | (~m_main_v_state2(s95, c_t2)) | (~node7(s95, s96)) | m_main_v_state1(s96, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s95, c_n1)) | (~m_main_v_state2(s95, c_t2)) | (~node7(s95, s96)) | m_main_v_state1(s96, c_t1))),
% 4.54/3.39 inference(rewrite,[status(thm)],[])).
% 4.54/3.39 tff(7961,plain,
% 4.54/3.39 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s95, c_n1)) | (~m_main_v_state2(s95, c_t2)) | (~node7(s95, s96)) | m_main_v_state1(s96, c_t1))),
% 4.54/3.39 inference(quant_inst,[status(thm)],[])).
% 4.54/3.39 tff(7962,plain,
% 4.54/3.39 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s95, c_n1)) | (~m_main_v_state2(s95, c_t2)) | (~node7(s95, s96)) | m_main_v_state1(s96, c_t1)),
% 4.54/3.39 inference(modus_ponens,[status(thm)],[7961, 7960])).
% 4.54/3.39 tff(7963,plain,
% 4.54/3.39 ((~m_main_v_state1(s95, c_n1)) | (~m_main_v_state2(s95, c_t2)) | m_main_v_state1(s96, c_t1)),
% 4.54/3.39 inference(unit_resolution,[status(thm)],[7962, 651, 7959])).
% 4.54/3.39 tff(7964,plain,
% 4.54/3.39 (m_main_v_state1(s96, c_t1)),
% 4.54/3.39 inference(unit_resolution,[status(thm)],[7963, 7948, 7892])).
% 4.54/3.39 tff(7965,plain,
% 4.54/3.39 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s96, c_n1)) | (~m_main_v_state1(s96, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s96, c_n1)) | (~m_main_v_state1(s96, c_t1)))),
% 4.54/3.39 inference(rewrite,[status(thm)],[])).
% 4.54/3.39 tff(7966,plain,
% 4.54/3.39 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s96, c_n1)) | (~m_main_v_state1(s96, c_t1)))),
% 4.54/3.39 inference(quant_inst,[status(thm)],[])).
% 4.54/3.39 tff(7967,plain,
% 4.54/3.39 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s96, c_n1)) | (~m_main_v_state1(s96, c_t1))),
% 4.54/3.39 inference(modus_ponens,[status(thm)],[7966, 7965])).
% 4.54/3.39 tff(7968,plain,
% 4.54/3.39 (~m_main_v_state1(s96, c_n1)),
% 4.54/3.39 inference(unit_resolution,[status(thm)],[7967, 10, 7964])).
% 4.54/3.39 tff(7969,plain,
% 4.54/3.39 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s96, c_n1) | (~node1(s96)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s96, c_n1) | (~node1(s96)))),
% 4.54/3.39 inference(rewrite,[status(thm)],[])).
% 4.54/3.39 tff(7970,plain,
% 4.54/3.39 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s96, c_n1) | (~node1(s96)))),
% 4.54/3.39 inference(quant_inst,[status(thm)],[])).
% 4.54/3.39 tff(7971,plain,
% 4.54/3.39 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s96, c_n1) | (~node1(s96))),
% 4.54/3.39 inference(modus_ponens,[status(thm)],[7970, 7969])).
% 4.54/3.39 tff(7972,plain,
% 4.54/3.39 (~node1(s96)),
% 4.54/3.39 inference(unit_resolution,[status(thm)],[7971, 421, 7968])).
% 4.54/3.39 tff(7973,plain,
% 4.54/3.39 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s95, s96)) | node18(s95, s96))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s95, s96)) | node18(s95, s96))),
% 4.54/3.39 inference(rewrite,[status(thm)],[])).
% 4.54/3.39 tff(7974,plain,
% 4.54/3.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s95, s96)) | node18(s95, s96))),
% 4.54/3.39 inference(quant_inst,[status(thm)],[])).
% 4.54/3.39 tff(7975,plain,
% 4.54/3.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s95, s96)) | node18(s95, s96)),
% 4.54/3.39 inference(modus_ponens,[status(thm)],[7974, 7973])).
% 4.54/3.39 tff(7976,plain,
% 4.54/3.39 (node18(s95, s96)),
% 4.54/3.39 inference(unit_resolution,[status(thm)],[7975, 125, 7955])).
% 4.54/3.39 tff(7977,plain,
% 4.54/3.39 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s95, c_n1)) | (~m_main_v_state2(s95, c_t2)) | (~node18(s95, s96)) | m_main_v_turn(s96, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s95, c_n1)) | (~m_main_v_state2(s95, c_t2)) | (~node18(s95, s96)) | m_main_v_turn(s96, c_2))),
% 4.54/3.39 inference(rewrite,[status(thm)],[])).
% 4.54/3.39 tff(7978,plain,
% 4.54/3.39 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s95, c_n1)) | (~m_main_v_state2(s95, c_t2)) | (~node18(s95, s96)) | m_main_v_turn(s96, c_2))),
% 4.54/3.39 inference(quant_inst,[status(thm)],[])).
% 4.54/3.39 tff(7979,plain,
% 4.54/3.39 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s95, c_n1)) | (~m_main_v_state2(s95, c_t2)) | (~node18(s95, s96)) | m_main_v_turn(s96, c_2)),
% 4.54/3.39 inference(modus_ponens,[status(thm)],[7978, 7977])).
% 4.54/3.39 tff(7980,plain,
% 4.54/3.39 ((~m_main_v_state1(s95, c_n1)) | (~m_main_v_state2(s95, c_t2)) | m_main_v_turn(s96, c_2)),
% 4.54/3.39 inference(unit_resolution,[status(thm)],[7979, 760, 7976])).
% 4.54/3.39 tff(7981,plain,
% 4.54/3.39 (m_main_v_turn(s96, c_2)),
% 4.54/3.39 inference(unit_resolution,[status(thm)],[7980, 7948, 7892])).
% 4.54/3.39 tff(7982,plain,
% 4.54/3.39 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s96, c_1)) | (~m_main_v_turn(s96, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s96, c_1)) | (~m_main_v_turn(s96, c_2)))),
% 4.54/3.39 inference(rewrite,[status(thm)],[])).
% 4.54/3.39 tff(7983,plain,
% 4.54/3.39 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s96, c_1)) | (~m_main_v_turn(s96, c_2)))),
% 4.54/3.39 inference(quant_inst,[status(thm)],[])).
% 4.54/3.39 tff(7984,plain,
% 4.54/3.39 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s96, c_1)) | (~m_main_v_turn(s96, c_2))),
% 4.54/3.39 inference(modus_ponens,[status(thm)],[7983, 7982])).
% 4.54/3.39 tff(7985,plain,
% 4.54/3.39 (~m_main_v_turn(s96, c_1)),
% 4.54/3.39 inference(unit_resolution,[status(thm)],[7984, 156, 7981])).
% 4.54/3.39 tff(7986,plain,
% 4.54/3.39 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s96, c_1) | (~node5(s96)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s96, c_1) | (~node5(s96)))),
% 4.54/3.39 inference(rewrite,[status(thm)],[])).
% 4.54/3.39 tff(7987,plain,
% 4.54/3.39 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s96, c_1) | (~node5(s96)))),
% 4.54/3.39 inference(quant_inst,[status(thm)],[])).
% 4.54/3.39 tff(7988,plain,
% 4.54/3.39 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s96, c_1) | (~node5(s96))),
% 4.54/3.39 inference(modus_ponens,[status(thm)],[7987, 7986])).
% 4.54/3.39 tff(7989,plain,
% 4.54/3.39 (~node5(s96)),
% 4.54/3.39 inference(unit_resolution,[status(thm)],[7988, 776, 7985])).
% 4.54/3.39 tff(7990,plain,
% 4.54/3.39 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s96, c_n1) | (~node2(s96)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s96, c_n1) | (~node2(s96)))),
% 4.54/3.39 inference(rewrite,[status(thm)],[])).
% 4.54/3.39 tff(7991,plain,
% 4.54/3.39 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s96, c_n1) | (~node2(s96)))),
% 4.54/3.39 inference(quant_inst,[status(thm)],[])).
% 4.54/3.39 tff(7992,plain,
% 4.54/3.39 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s96, c_n1) | (~node2(s96))),
% 4.54/3.39 inference(modus_ponens,[status(thm)],[7991, 7990])).
% 4.54/3.39 tff(7993,plain,
% 4.54/3.39 (~node2(s96)),
% 4.54/3.39 inference(unit_resolution,[status(thm)],[7992, 787, 7968])).
% 4.54/3.39 tff(7994,plain,
% 4.54/3.39 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s96, c_n1) | (~node3(s96)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s96, c_n1) | (~node3(s96)))),
% 4.54/3.39 inference(rewrite,[status(thm)],[])).
% 4.54/3.39 tff(7995,plain,
% 4.54/3.39 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s96, c_n1) | (~node3(s96)))),
% 4.54/3.39 inference(quant_inst,[status(thm)],[])).
% 4.54/3.39 tff(7996,plain,
% 4.54/3.39 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s96, c_n1) | (~node3(s96))),
% 4.54/3.39 inference(modus_ponens,[status(thm)],[7995, 7994])).
% 4.54/3.39 tff(7997,plain,
% 4.54/3.39 (~node3(s96)),
% 4.54/3.39 inference(unit_resolution,[status(thm)],[7996, 798, 7968])).
% 4.54/3.39 tff(7998,plain,
% 4.54/3.39 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s96, c_t1)) | (~m_main_v_state1(s96, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s96, c_t1)) | (~m_main_v_state1(s96, c_c1)))),
% 4.54/3.39 inference(rewrite,[status(thm)],[])).
% 4.54/3.39 tff(7999,plain,
% 4.54/3.39 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s96, c_t1)) | (~m_main_v_state1(s96, c_c1)))),
% 4.54/3.39 inference(quant_inst,[status(thm)],[])).
% 4.54/3.39 tff(8000,plain,
% 4.54/3.39 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s96, c_t1)) | (~m_main_v_state1(s96, c_c1))),
% 4.54/3.39 inference(modus_ponens,[status(thm)],[7999, 7998])).
% 4.54/3.39 tff(8001,plain,
% 4.54/3.39 (~m_main_v_state1(s96, c_c1)),
% 4.54/3.39 inference(unit_resolution,[status(thm)],[8000, 539, 7964])).
% 4.54/3.39 tff(8002,plain,
% 4.54/3.39 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s94, c_n2) | (~m_main_v_state2(s95, c_n2)) | (~node13(s94, s95)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s94, c_n2) | (~m_main_v_state2(s95, c_n2)) | (~node13(s94, s95)))),
% 4.54/3.39 inference(rewrite,[status(thm)],[])).
% 4.54/3.39 tff(8003,plain,
% 4.54/3.39 (((~node13(s94, s95)) | m_main_v_state2(s94, c_n2) | (~m_main_v_state2(s95, c_n2))) <=> (m_main_v_state2(s94, c_n2) | (~m_main_v_state2(s95, c_n2)) | (~node13(s94, s95)))),
% 4.54/3.39 inference(rewrite,[status(thm)],[])).
% 4.54/3.39 tff(8004,plain,
% 4.54/3.39 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s94, s95)) | m_main_v_state2(s94, c_n2) | (~m_main_v_state2(s95, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s94, c_n2) | (~m_main_v_state2(s95, c_n2)) | (~node13(s94, s95))))),
% 4.54/3.39 inference(monotonicity,[status(thm)],[8003])).
% 4.54/3.39 tff(8005,plain,
% 4.54/3.39 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s94, s95)) | m_main_v_state2(s94, c_n2) | (~m_main_v_state2(s95, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s94, c_n2) | (~m_main_v_state2(s95, c_n2)) | (~node13(s94, s95)))),
% 4.54/3.39 inference(transitivity,[status(thm)],[8004, 8002])).
% 4.54/3.39 tff(8006,plain,
% 4.54/3.39 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s94, s95)) | m_main_v_state2(s94, c_n2) | (~m_main_v_state2(s95, c_n2)))),
% 4.54/3.39 inference(quant_inst,[status(thm)],[])).
% 4.54/3.39 tff(8007,plain,
% 4.54/3.39 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s94, c_n2) | (~m_main_v_state2(s95, c_n2)) | (~node13(s94, s95))),
% 4.54/3.39 inference(modus_ponens,[status(thm)],[8006, 8005])).
% 4.54/3.39 tff(8008,plain,
% 4.54/3.39 (~m_main_v_state2(s95, c_n2)),
% 4.54/3.39 inference(unit_resolution,[status(thm)],[8007, 311, 7849, 7941])).
% 4.54/3.39 tff(8009,plain,
% 4.54/3.39 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s95, c_n2) | (~node9(s95)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s95, c_n2) | (~node9(s95)))),
% 4.54/3.39 inference(rewrite,[status(thm)],[])).
% 4.54/3.39 tff(8010,plain,
% 4.54/3.39 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s95, c_n2) | (~node9(s95)))),
% 4.54/3.39 inference(quant_inst,[status(thm)],[])).
% 4.54/3.39 tff(8011,plain,
% 4.54/3.39 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s95, c_n2) | (~node9(s95))),
% 4.54/3.39 inference(modus_ponens,[status(thm)],[8010, 8009])).
% 4.54/3.39 tff(8012,plain,
% 4.54/3.39 (~node9(s95)),
% 4.54/3.39 inference(unit_resolution,[status(thm)],[8011, 88, 8008])).
% 4.54/3.39 tff(8013,plain,
% 4.54/3.39 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s95, c_n2) | (~node10(s95)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s95, c_n2) | (~node10(s95)))),
% 4.54/3.39 inference(rewrite,[status(thm)],[])).
% 4.54/3.39 tff(8014,plain,
% 4.54/3.39 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s95, c_n2) | (~node10(s95)))),
% 4.54/3.39 inference(quant_inst,[status(thm)],[])).
% 4.54/3.39 tff(8015,plain,
% 4.54/3.39 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s95, c_n2) | (~node10(s95))),
% 4.54/3.39 inference(modus_ponens,[status(thm)],[8014, 8013])).
% 4.54/3.39 tff(8016,plain,
% 4.54/3.39 (~node10(s95)),
% 4.54/3.39 inference(unit_resolution,[status(thm)],[8015, 249, 8008])).
% 4.54/3.39 tff(8017,plain,
% 4.54/3.39 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s95, c_n2) | (~node8(s95)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s95, c_n2) | (~node8(s95)))),
% 4.54/3.39 inference(rewrite,[status(thm)],[])).
% 4.54/3.39 tff(8018,plain,
% 4.54/3.39 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s95, c_n2) | (~node8(s95)))),
% 4.54/3.39 inference(quant_inst,[status(thm)],[])).
% 4.54/3.39 tff(8019,plain,
% 4.54/3.39 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s95, c_n2) | (~node8(s95))),
% 4.54/3.39 inference(modus_ponens,[status(thm)],[8018, 8017])).
% 4.54/3.39 tff(8020,plain,
% 4.54/3.39 (~node8(s95)),
% 4.54/3.39 inference(unit_resolution,[status(thm)],[8019, 271, 8008])).
% 4.54/3.39 tff(8021,plain,
% 4.54/3.39 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s95, s96)) | node14(s95, s96))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s95, s96)) | node14(s95, s96))),
% 4.54/3.39 inference(rewrite,[status(thm)],[])).
% 4.54/3.39 tff(8022,plain,
% 4.54/3.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s95, s96)) | node14(s95, s96))),
% 4.54/3.40 inference(quant_inst,[status(thm)],[])).
% 4.54/3.40 tff(8023,plain,
% 4.54/3.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s95, s96)) | node14(s95, s96)),
% 4.54/3.40 inference(modus_ponens,[status(thm)],[8022, 8021])).
% 4.54/3.40 tff(8024,plain,
% 4.54/3.40 (node14(s95, s96)),
% 4.54/3.40 inference(unit_resolution,[status(thm)],[8023, 46, 7955])).
% 4.54/3.40 tff(8025,plain,
% 4.54/3.40 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s95, c_n1)) | (~m_main_v_state2(s95, c_t2)) | node9(s95) | node8(s95) | node10(s95) | (~node14(s95, s96)) | m_main_v_state2(s96, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s95, c_n1)) | (~m_main_v_state2(s95, c_t2)) | node9(s95) | node8(s95) | node10(s95) | (~node14(s95, s96)) | m_main_v_state2(s96, c_c2))),
% 4.54/3.40 inference(rewrite,[status(thm)],[])).
% 4.54/3.40 tff(8026,plain,
% 4.54/3.40 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s95, c_n1)) | (~m_main_v_state2(s95, c_t2)) | node9(s95) | node8(s95) | node10(s95) | (~node14(s95, s96)) | m_main_v_state2(s96, c_c2))),
% 4.54/3.40 inference(quant_inst,[status(thm)],[])).
% 4.54/3.40 tff(8027,plain,
% 4.54/3.40 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s95, c_n1)) | (~m_main_v_state2(s95, c_t2)) | node9(s95) | node8(s95) | node10(s95) | (~node14(s95, s96)) | m_main_v_state2(s96, c_c2)),
% 4.54/3.40 inference(modus_ponens,[status(thm)],[8026, 8025])).
% 4.54/3.40 tff(8028,plain,
% 4.54/3.40 ((~m_main_v_state1(s95, c_n1)) | (~m_main_v_state2(s95, c_t2)) | node9(s95) | node8(s95) | node10(s95) | m_main_v_state2(s96, c_c2)),
% 4.54/3.40 inference(unit_resolution,[status(thm)],[8027, 617, 8024])).
% 4.54/3.40 tff(8029,plain,
% 4.54/3.40 (m_main_v_state2(s96, c_c2)),
% 4.54/3.40 inference(unit_resolution,[status(thm)],[8028, 8020, 7892, 7948, 8016, 8012])).
% 4.54/3.40 tff(8030,plain,
% 4.54/3.40 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s96, c_n2)) | (~m_main_v_state2(s96, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s96, c_n2)) | (~m_main_v_state2(s96, c_c2)))),
% 4.54/3.40 inference(rewrite,[status(thm)],[])).
% 4.54/3.40 tff(8031,plain,
% 4.54/3.40 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s96, c_n2)) | (~m_main_v_state2(s96, c_c2)))),
% 4.54/3.40 inference(quant_inst,[status(thm)],[])).
% 4.54/3.40 tff(8032,plain,
% 4.54/3.40 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s96, c_n2)) | (~m_main_v_state2(s96, c_c2))),
% 4.54/3.40 inference(modus_ponens,[status(thm)],[8031, 8030])).
% 4.54/3.40 tff(8033,plain,
% 4.54/3.40 (~m_main_v_state2(s96, c_n2)),
% 4.54/3.40 inference(unit_resolution,[status(thm)],[8032, 697, 8029])).
% 4.54/3.40 tff(8034,plain,
% 4.54/3.40 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s96, c_n2) | (~node4(s96)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s96, c_n2) | (~node4(s96)))),
% 4.54/3.40 inference(rewrite,[status(thm)],[])).
% 4.54/3.40 tff(8035,plain,
% 4.54/3.40 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s96, c_n2) | (~node4(s96)))),
% 4.54/3.40 inference(quant_inst,[status(thm)],[])).
% 4.54/3.40 tff(8036,plain,
% 4.54/3.40 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s96, c_n2) | (~node4(s96))),
% 4.54/3.40 inference(modus_ponens,[status(thm)],[8035, 8034])).
% 4.54/3.40 tff(8037,plain,
% 4.54/3.40 (~node4(s96)),
% 4.54/3.40 inference(unit_resolution,[status(thm)],[8036, 388, 8033])).
% 4.54/3.40 tff(8038,plain,
% 4.54/3.40 (succ(s96, s97) <=> succ(s96, s97)),
% 4.54/3.40 inference(rewrite,[status(thm)],[])).
% 4.54/3.40 tff(8039,axiom,(succ(s96, s97)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound97')).
% 4.54/3.40 tff(8040,plain,
% 4.54/3.40 (succ(s96, s97)),
% 4.54/3.40 inference(modus_ponens,[status(thm)],[8039, 8038])).
% 4.54/3.40 tff(8041,plain,
% 4.54/3.40 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s96, s97)) | trans(s96, s97))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s96, s97)) | trans(s96, s97))),
% 4.54/3.40 inference(rewrite,[status(thm)],[])).
% 4.54/3.40 tff(8042,plain,
% 4.54/3.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s96, s97)) | trans(s96, s97))),
% 4.54/3.40 inference(quant_inst,[status(thm)],[])).
% 4.54/3.40 tff(8043,plain,
% 4.54/3.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s96, s97)) | trans(s96, s97)),
% 4.54/3.40 inference(modus_ponens,[status(thm)],[8042, 8041])).
% 4.54/3.40 tff(8044,plain,
% 4.54/3.40 (trans(s96, s97)),
% 4.54/3.40 inference(unit_resolution,[status(thm)],[8043, 8040, 32])).
% 4.54/3.40 tff(8045,plain,
% 4.54/3.40 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s96, s97)) | node7(s96, s97))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s96, s97)) | node7(s96, s97))),
% 4.54/3.40 inference(rewrite,[status(thm)],[])).
% 4.54/3.40 tff(8046,plain,
% 4.54/3.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s96, s97)) | node7(s96, s97))),
% 4.54/3.40 inference(quant_inst,[status(thm)],[])).
% 4.54/3.40 tff(8047,plain,
% 4.54/3.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s96, s97)) | node7(s96, s97)),
% 4.54/3.40 inference(modus_ponens,[status(thm)],[8046, 8045])).
% 4.54/3.40 tff(8048,plain,
% 4.54/3.40 (node7(s96, s97)),
% 4.54/3.40 inference(unit_resolution,[status(thm)],[8047, 206, 8044])).
% 4.54/3.40 tff(8049,plain,
% 4.54/3.40 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s96, c_c1) | node1(s96) | node2(s96) | node3(s96) | node4(s96) | node5(s96) | node6(s96, s97) | (~node7(s96, s97)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s96, c_c1) | node1(s96) | node2(s96) | node3(s96) | node4(s96) | node5(s96) | node6(s96, s97) | (~node7(s96, s97)))),
% 4.54/3.40 inference(rewrite,[status(thm)],[])).
% 4.54/3.40 tff(8050,plain,
% 4.54/3.40 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s96, c_c1) | node1(s96) | node2(s96) | node3(s96) | node4(s96) | node5(s96) | node6(s96, s97) | (~node7(s96, s97)))),
% 4.54/3.40 inference(quant_inst,[status(thm)],[])).
% 4.54/3.40 tff(8051,plain,
% 4.54/3.40 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s96, c_c1) | node1(s96) | node2(s96) | node3(s96) | node4(s96) | node5(s96) | node6(s96, s97) | (~node7(s96, s97))),
% 4.54/3.40 inference(modus_ponens,[status(thm)],[8050, 8049])).
% 4.54/3.40 tff(8052,plain,
% 4.54/3.40 (m_main_v_state1(s96, c_c1) | node1(s96) | node2(s96) | node3(s96) | node4(s96) | node5(s96) | node6(s96, s97)),
% 4.54/3.40 inference(unit_resolution,[status(thm)],[8051, 820, 8048])).
% 4.54/3.40 tff(8053,plain,
% 4.54/3.40 (node6(s96, s97)),
% 4.54/3.40 inference(unit_resolution,[status(thm)],[8052, 8037, 8001, 7997, 7993, 7989, 7972])).
% 4.54/3.40 tff(8054,plain,
% 4.54/3.40 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s96, c_t1)) | m_main_v_state1(s97, c_t1) | (~node6(s96, s97)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s96, c_t1)) | m_main_v_state1(s97, c_t1) | (~node6(s96, s97)))),
% 4.54/3.40 inference(rewrite,[status(thm)],[])).
% 4.54/3.40 tff(8055,plain,
% 4.54/3.40 (((~node6(s96, s97)) | (~m_main_v_state1(s96, c_t1)) | m_main_v_state1(s97, c_t1)) <=> ((~m_main_v_state1(s96, c_t1)) | m_main_v_state1(s97, c_t1) | (~node6(s96, s97)))),
% 4.54/3.40 inference(rewrite,[status(thm)],[])).
% 4.54/3.40 tff(8056,plain,
% 4.54/3.40 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s96, s97)) | (~m_main_v_state1(s96, c_t1)) | m_main_v_state1(s97, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s96, c_t1)) | m_main_v_state1(s97, c_t1) | (~node6(s96, s97))))),
% 4.54/3.40 inference(monotonicity,[status(thm)],[8055])).
% 4.54/3.40 tff(8057,plain,
% 4.54/3.40 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s96, s97)) | (~m_main_v_state1(s96, c_t1)) | m_main_v_state1(s97, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s96, c_t1)) | m_main_v_state1(s97, c_t1) | (~node6(s96, s97)))),
% 4.54/3.40 inference(transitivity,[status(thm)],[8056, 8054])).
% 4.54/3.40 tff(8058,plain,
% 4.54/3.40 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s96, s97)) | (~m_main_v_state1(s96, c_t1)) | m_main_v_state1(s97, c_t1))),
% 4.54/3.40 inference(quant_inst,[status(thm)],[])).
% 4.54/3.40 tff(8059,plain,
% 4.54/3.40 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s96, c_t1)) | m_main_v_state1(s97, c_t1) | (~node6(s96, s97))),
% 4.54/3.40 inference(modus_ponens,[status(thm)],[8058, 8057])).
% 4.54/3.40 tff(8060,plain,
% 4.54/3.40 (m_main_v_state1(s97, c_t1)),
% 4.54/3.40 inference(unit_resolution,[status(thm)],[8059, 856, 7964, 8053])).
% 4.54/3.40 tff(8061,plain,
% 4.54/3.40 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s96, c_t2)) | (~m_main_v_state2(s96, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s96, c_t2)) | (~m_main_v_state2(s96, c_c2)))),
% 4.54/3.40 inference(rewrite,[status(thm)],[])).
% 4.54/3.40 tff(8062,plain,
% 4.54/3.40 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s96, c_t2)) | (~m_main_v_state2(s96, c_c2)))),
% 4.54/3.40 inference(quant_inst,[status(thm)],[])).
% 4.54/3.40 tff(8063,plain,
% 4.54/3.40 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s96, c_t2)) | (~m_main_v_state2(s96, c_c2))),
% 4.54/3.40 inference(modus_ponens,[status(thm)],[8062, 8061])).
% 4.54/3.40 tff(8064,plain,
% 4.54/3.40 (~m_main_v_state2(s96, c_t2)),
% 4.54/3.40 inference(unit_resolution,[status(thm)],[8063, 260, 8029])).
% 4.54/3.40 tff(8065,plain,
% 4.54/3.40 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s96, c_t2) | (~node12(s96)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s96, c_t2) | (~node12(s96)))),
% 4.54/3.40 inference(rewrite,[status(thm)],[])).
% 4.54/3.40 tff(8066,plain,
% 4.54/3.40 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s96, c_t2) | (~node12(s96)))),
% 4.54/3.40 inference(quant_inst,[status(thm)],[])).
% 4.54/3.40 tff(8067,plain,
% 4.54/3.40 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s96, c_t2) | (~node12(s96))),
% 4.54/3.40 inference(modus_ponens,[status(thm)],[8066, 8065])).
% 4.54/3.40 tff(8068,plain,
% 4.54/3.40 (~node12(s96)),
% 4.54/3.40 inference(unit_resolution,[status(thm)],[8067, 633, 8064])).
% 4.54/3.40 tff(8069,plain,
% 4.54/3.40 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s96, c_n1) | (~node11(s96)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s96, c_n1) | (~node11(s96)))),
% 4.54/3.40 inference(rewrite,[status(thm)],[])).
% 4.54/3.40 tff(8070,plain,
% 4.54/3.40 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s96, c_n1) | (~node11(s96)))),
% 4.54/3.40 inference(quant_inst,[status(thm)],[])).
% 4.54/3.40 tff(8071,plain,
% 4.54/3.40 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s96, c_n1) | (~node11(s96))),
% 4.54/3.40 inference(modus_ponens,[status(thm)],[8070, 8069])).
% 4.54/3.40 tff(8072,plain,
% 4.54/3.40 (~node11(s96)),
% 4.54/3.40 inference(unit_resolution,[status(thm)],[8071, 238, 7968])).
% 4.54/3.40 tff(8073,plain,
% 4.54/3.40 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s96, c_c1) | (~node10(s96)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s96, c_c1) | (~node10(s96)))),
% 4.54/3.40 inference(rewrite,[status(thm)],[])).
% 4.54/3.40 tff(8074,plain,
% 4.54/3.40 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s96, c_c1) | (~node10(s96)))),
% 4.54/3.40 inference(quant_inst,[status(thm)],[])).
% 4.54/3.40 tff(8075,plain,
% 4.54/3.40 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s96, c_c1) | (~node10(s96))),
% 4.54/3.40 inference(modus_ponens,[status(thm)],[8074, 8073])).
% 4.54/3.40 tff(8076,plain,
% 4.54/3.40 (~node10(s96)),
% 4.54/3.40 inference(unit_resolution,[status(thm)],[8075, 675, 8001])).
% 4.54/3.40 tff(8077,plain,
% 4.54/3.40 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s96, c_n1) | (~node9(s96)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s96, c_n1) | (~node9(s96)))),
% 4.54/3.40 inference(rewrite,[status(thm)],[])).
% 4.54/3.40 tff(8078,plain,
% 4.54/3.40 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s96, c_n1) | (~node9(s96)))),
% 4.54/3.40 inference(quant_inst,[status(thm)],[])).
% 4.54/3.40 tff(8079,plain,
% 4.54/3.40 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s96, c_n1) | (~node9(s96))),
% 4.54/3.40 inference(modus_ponens,[status(thm)],[8078, 8077])).
% 4.54/3.40 tff(8080,plain,
% 4.54/3.40 (~node9(s96)),
% 4.54/3.40 inference(unit_resolution,[status(thm)],[8079, 686, 7968])).
% 4.54/3.40 tff(8081,plain,
% 4.54/3.40 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s96, c_n2) | (~node8(s96)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s96, c_n2) | (~node8(s96)))),
% 4.54/3.40 inference(rewrite,[status(thm)],[])).
% 4.54/3.40 tff(8082,plain,
% 4.54/3.40 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s96, c_n2) | (~node8(s96)))),
% 4.54/3.40 inference(quant_inst,[status(thm)],[])).
% 4.54/3.40 tff(8083,plain,
% 4.54/3.40 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s96, c_n2) | (~node8(s96))),
% 4.54/3.40 inference(modus_ponens,[status(thm)],[8082, 8081])).
% 4.54/3.40 tff(8084,plain,
% 4.54/3.40 (~node8(s96)),
% 4.54/3.40 inference(unit_resolution,[status(thm)],[8083, 271, 8033])).
% 4.54/3.40 tff(8085,plain,
% 4.54/3.40 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s96, s97)) | node14(s96, s97))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s96, s97)) | node14(s96, s97))),
% 4.54/3.40 inference(rewrite,[status(thm)],[])).
% 4.54/3.40 tff(8086,plain,
% 4.54/3.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s96, s97)) | node14(s96, s97))),
% 4.54/3.40 inference(quant_inst,[status(thm)],[])).
% 4.54/3.40 tff(8087,plain,
% 4.54/3.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s96, s97)) | node14(s96, s97)),
% 4.54/3.40 inference(modus_ponens,[status(thm)],[8086, 8085])).
% 4.54/3.40 tff(8088,plain,
% 4.54/3.40 (node14(s96, s97)),
% 4.54/3.40 inference(unit_resolution,[status(thm)],[8087, 46, 8044])).
% 4.54/3.40 tff(8089,plain,
% 4.54/3.40 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s97, c_n2) | node9(s96) | node8(s96) | node10(s96) | node11(s96) | node12(s96) | (~node14(s96, s97)) | (~m_main_v_state2(s96, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s97, c_n2) | node9(s96) | node8(s96) | node10(s96) | node11(s96) | node12(s96) | (~node14(s96, s97)) | (~m_main_v_state2(s96, c_c2)))),
% 4.54/3.40 inference(rewrite,[status(thm)],[])).
% 4.54/3.40 tff(8090,plain,
% 4.54/3.40 (((~m_main_v_state2(s96, c_c2)) | node9(s96) | node8(s96) | node10(s96) | node11(s96) | node12(s96) | (~node14(s96, s97)) | m_main_v_state2(s97, c_n2)) <=> (m_main_v_state2(s97, c_n2) | node9(s96) | node8(s96) | node10(s96) | node11(s96) | node12(s96) | (~node14(s96, s97)) | (~m_main_v_state2(s96, c_c2)))),
% 4.54/3.40 inference(rewrite,[status(thm)],[])).
% 4.54/3.40 tff(8091,plain,
% 4.54/3.40 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s96, c_c2)) | node9(s96) | node8(s96) | node10(s96) | node11(s96) | node12(s96) | (~node14(s96, s97)) | m_main_v_state2(s97, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s97, c_n2) | node9(s96) | node8(s96) | node10(s96) | node11(s96) | node12(s96) | (~node14(s96, s97)) | (~m_main_v_state2(s96, c_c2))))),
% 4.54/3.40 inference(monotonicity,[status(thm)],[8090])).
% 4.54/3.40 tff(8092,plain,
% 4.54/3.40 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s96, c_c2)) | node9(s96) | node8(s96) | node10(s96) | node11(s96) | node12(s96) | (~node14(s96, s97)) | m_main_v_state2(s97, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s97, c_n2) | node9(s96) | node8(s96) | node10(s96) | node11(s96) | node12(s96) | (~node14(s96, s97)) | (~m_main_v_state2(s96, c_c2)))),
% 4.54/3.40 inference(transitivity,[status(thm)],[8091, 8089])).
% 4.54/3.40 tff(8093,plain,
% 4.54/3.40 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s96, c_c2)) | node9(s96) | node8(s96) | node10(s96) | node11(s96) | node12(s96) | (~node14(s96, s97)) | m_main_v_state2(s97, c_n2))),
% 4.54/3.40 inference(quant_inst,[status(thm)],[])).
% 4.54/3.40 tff(8094,plain,
% 4.54/3.40 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s97, c_n2) | node9(s96) | node8(s96) | node10(s96) | node11(s96) | node12(s96) | (~node14(s96, s97)) | (~m_main_v_state2(s96, c_c2))),
% 4.54/3.40 inference(modus_ponens,[status(thm)],[8093, 8092])).
% 4.54/3.40 tff(8095,plain,
% 4.54/3.40 (m_main_v_state2(s97, c_n2) | node9(s96) | node8(s96) | node10(s96) | node11(s96) | node12(s96) | (~m_main_v_state2(s96, c_c2))),
% 4.54/3.40 inference(unit_resolution,[status(thm)],[8094, 726, 8088])).
% 4.54/3.40 tff(8096,plain,
% 4.54/3.40 (m_main_v_state2(s97, c_n2)),
% 4.54/3.40 inference(unit_resolution,[status(thm)],[8095, 8084, 8029, 8080, 8076, 8072, 8068])).
% 4.54/3.40 tff(8097,plain,
% 4.54/3.40 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s97, c_n2)) | (~m_main_v_state2(s97, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s97, c_n2)) | (~m_main_v_state2(s97, c_t2)))),
% 4.54/3.40 inference(rewrite,[status(thm)],[])).
% 4.54/3.40 tff(8098,plain,
% 4.54/3.40 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s97, c_n2)) | (~m_main_v_state2(s97, c_t2)))),
% 4.54/3.40 inference(quant_inst,[status(thm)],[])).
% 4.54/3.40 tff(8099,plain,
% 4.54/3.40 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s97, c_n2)) | (~m_main_v_state2(s97, c_t2))),
% 4.54/3.40 inference(modus_ponens,[status(thm)],[8098, 8097])).
% 4.54/3.40 tff(8100,plain,
% 4.54/3.40 (~m_main_v_state2(s97, c_t2)),
% 4.54/3.40 inference(unit_resolution,[status(thm)],[8099, 77, 8096])).
% 4.54/3.40 tff(8101,plain,
% 4.54/3.40 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s97, c_t2) | (~node15(s97)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s97, c_t2) | (~node15(s97)))),
% 4.54/3.40 inference(rewrite,[status(thm)],[])).
% 4.54/3.40 tff(8102,plain,
% 4.54/3.40 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s97, c_t2) | (~node15(s97)))),
% 4.54/3.40 inference(quant_inst,[status(thm)],[])).
% 4.54/3.40 tff(8103,plain,
% 4.54/3.40 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s97, c_t2) | (~node15(s97))),
% 4.54/3.40 inference(modus_ponens,[status(thm)],[8102, 8101])).
% 4.54/3.40 tff(8104,plain,
% 4.54/3.40 (~node15(s97)),
% 4.54/3.40 inference(unit_resolution,[status(thm)],[8103, 103, 8100])).
% 4.54/3.40 tff(8105,plain,
% 4.54/3.40 (succ(s97, s98) <=> succ(s97, s98)),
% 4.54/3.40 inference(rewrite,[status(thm)],[])).
% 4.54/3.40 tff(8106,axiom,(succ(s97, s98)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound98')).
% 4.54/3.40 tff(8107,plain,
% 4.54/3.40 (succ(s97, s98)),
% 4.54/3.40 inference(modus_ponens,[status(thm)],[8106, 8105])).
% 4.54/3.40 tff(8108,plain,
% 4.54/3.40 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s97, s98)) | trans(s97, s98))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s97, s98)) | trans(s97, s98))),
% 4.54/3.40 inference(rewrite,[status(thm)],[])).
% 4.54/3.40 tff(8109,plain,
% 4.54/3.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s97, s98)) | trans(s97, s98))),
% 4.54/3.40 inference(quant_inst,[status(thm)],[])).
% 4.54/3.40 tff(8110,plain,
% 4.54/3.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s97, s98)) | trans(s97, s98)),
% 4.54/3.40 inference(modus_ponens,[status(thm)],[8109, 8108])).
% 4.54/3.40 tff(8111,plain,
% 4.54/3.40 (trans(s97, s98)),
% 4.54/3.40 inference(unit_resolution,[status(thm)],[8110, 8107, 32])).
% 4.54/3.40 tff(8112,plain,
% 4.54/3.40 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s97, s98)) | node18(s97, s98))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s97, s98)) | node18(s97, s98))),
% 4.54/3.40 inference(rewrite,[status(thm)],[])).
% 4.54/3.40 tff(8113,plain,
% 4.54/3.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s97, s98)) | node18(s97, s98))),
% 4.54/3.40 inference(quant_inst,[status(thm)],[])).
% 4.54/3.40 tff(8114,plain,
% 4.54/3.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s97, s98)) | node18(s97, s98)),
% 4.54/3.40 inference(modus_ponens,[status(thm)],[8113, 8112])).
% 4.54/3.40 tff(8115,plain,
% 4.54/3.40 (node18(s97, s98)),
% 4.54/3.40 inference(unit_resolution,[status(thm)],[8114, 125, 8111])).
% 4.54/3.40 tff(8116,plain,
% 4.54/3.40 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s97) | (~node18(s97, s98)) | (~m_main_v_state1(s97, c_t1)) | (~m_main_v_state2(s97, c_n2)) | m_main_v_turn(s98, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s97) | (~node18(s97, s98)) | (~m_main_v_state1(s97, c_t1)) | (~m_main_v_state2(s97, c_n2)) | m_main_v_turn(s98, c_1))),
% 4.54/3.40 inference(rewrite,[status(thm)],[])).
% 4.54/3.40 tff(8117,plain,
% 4.54/3.40 (((~m_main_v_state1(s97, c_t1)) | (~m_main_v_state2(s97, c_n2)) | node15(s97) | (~node18(s97, s98)) | m_main_v_turn(s98, c_1)) <=> (node15(s97) | (~node18(s97, s98)) | (~m_main_v_state1(s97, c_t1)) | (~m_main_v_state2(s97, c_n2)) | m_main_v_turn(s98, c_1))),
% 4.54/3.40 inference(rewrite,[status(thm)],[])).
% 4.54/3.40 tff(8118,plain,
% 4.54/3.40 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s97, c_t1)) | (~m_main_v_state2(s97, c_n2)) | node15(s97) | (~node18(s97, s98)) | m_main_v_turn(s98, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s97) | (~node18(s97, s98)) | (~m_main_v_state1(s97, c_t1)) | (~m_main_v_state2(s97, c_n2)) | m_main_v_turn(s98, c_1)))),
% 4.54/3.40 inference(monotonicity,[status(thm)],[8117])).
% 4.54/3.40 tff(8119,plain,
% 4.54/3.40 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s97, c_t1)) | (~m_main_v_state2(s97, c_n2)) | node15(s97) | (~node18(s97, s98)) | m_main_v_turn(s98, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s97) | (~node18(s97, s98)) | (~m_main_v_state1(s97, c_t1)) | (~m_main_v_state2(s97, c_n2)) | m_main_v_turn(s98, c_1))),
% 4.54/3.40 inference(transitivity,[status(thm)],[8118, 8116])).
% 4.54/3.40 tff(8120,plain,
% 4.54/3.40 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s97, c_t1)) | (~m_main_v_state2(s97, c_n2)) | node15(s97) | (~node18(s97, s98)) | m_main_v_turn(s98, c_1))),
% 4.54/3.40 inference(quant_inst,[status(thm)],[])).
% 4.54/3.40 tff(8121,plain,
% 4.54/3.40 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s97) | (~node18(s97, s98)) | (~m_main_v_state1(s97, c_t1)) | (~m_main_v_state2(s97, c_n2)) | m_main_v_turn(s98, c_1)),
% 4.54/3.40 inference(modus_ponens,[status(thm)],[8120, 8119])).
% 4.54/3.40 tff(8122,plain,
% 4.54/3.40 (node15(s97) | (~m_main_v_state1(s97, c_t1)) | (~m_main_v_state2(s97, c_n2)) | m_main_v_turn(s98, c_1)),
% 4.54/3.40 inference(unit_resolution,[status(thm)],[8121, 992, 8115])).
% 4.54/3.40 tff(8123,plain,
% 4.54/3.40 (m_main_v_turn(s98, c_1)),
% 4.54/3.40 inference(unit_resolution,[status(thm)],[8122, 8104, 8096, 8060])).
% 4.54/3.40 tff(8124,plain,
% 4.54/3.40 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s98, c_1)) | (~m_main_v_turn(s98, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s98, c_1)) | (~m_main_v_turn(s98, c_2)))),
% 4.54/3.40 inference(rewrite,[status(thm)],[])).
% 4.54/3.40 tff(8125,plain,
% 4.54/3.40 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s98, c_1)) | (~m_main_v_turn(s98, c_2)))),
% 4.54/3.40 inference(quant_inst,[status(thm)],[])).
% 4.54/3.40 tff(8126,plain,
% 4.54/3.40 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s98, c_1)) | (~m_main_v_turn(s98, c_2))),
% 4.54/3.40 inference(modus_ponens,[status(thm)],[8125, 8124])).
% 4.54/3.40 tff(8127,plain,
% 4.54/3.40 (~m_main_v_turn(s98, c_2)),
% 4.54/3.40 inference(unit_resolution,[status(thm)],[8126, 156, 8123])).
% 4.54/3.40 tff(8128,plain,
% 4.54/3.40 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s98, c_2) | (~node12(s98)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s98, c_2) | (~node12(s98)))),
% 4.54/3.40 inference(rewrite,[status(thm)],[])).
% 4.54/3.40 tff(8129,plain,
% 4.54/3.40 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s98, c_2) | (~node12(s98)))),
% 4.54/3.40 inference(quant_inst,[status(thm)],[])).
% 4.54/3.40 tff(8130,plain,
% 4.54/3.40 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s98, c_2) | (~node12(s98))),
% 4.54/3.40 inference(modus_ponens,[status(thm)],[8129, 8128])).
% 4.54/3.40 tff(8131,plain,
% 4.54/3.40 (~node12(s98)),
% 4.54/3.40 inference(unit_resolution,[status(thm)],[8130, 184, 8127])).
% 4.54/3.40 tff(8132,plain,
% 4.54/3.40 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s97, s98)) | node14(s97, s98))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s97, s98)) | node14(s97, s98))),
% 4.54/3.40 inference(rewrite,[status(thm)],[])).
% 4.54/3.40 tff(8133,plain,
% 4.54/3.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s97, s98)) | node14(s97, s98))),
% 4.54/3.40 inference(quant_inst,[status(thm)],[])).
% 4.54/3.40 tff(8134,plain,
% 4.54/3.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s97, s98)) | node14(s97, s98)),
% 4.54/3.40 inference(modus_ponens,[status(thm)],[8133, 8132])).
% 4.54/3.40 tff(8135,plain,
% 4.54/3.40 (node14(s97, s98)),
% 4.54/3.40 inference(unit_resolution,[status(thm)],[8134, 46, 8111])).
% 4.54/3.40 tff(8136,plain,
% 4.54/3.40 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s97, c_t1)) | (~m_main_v_state2(s97, c_n2)) | (~node14(s97, s98)) | m_main_v_state2(s98, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s97, c_t1)) | (~m_main_v_state2(s97, c_n2)) | (~node14(s97, s98)) | m_main_v_state2(s98, c_t2))),
% 4.54/3.40 inference(rewrite,[status(thm)],[])).
% 4.54/3.40 tff(8137,plain,
% 4.54/3.40 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s97, c_t1)) | (~m_main_v_state2(s97, c_n2)) | (~node14(s97, s98)) | m_main_v_state2(s98, c_t2))),
% 4.54/3.40 inference(quant_inst,[status(thm)],[])).
% 4.54/3.40 tff(8138,plain,
% 4.54/3.40 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s97, c_t1)) | (~m_main_v_state2(s97, c_n2)) | (~node14(s97, s98)) | m_main_v_state2(s98, c_t2)),
% 4.54/3.40 inference(modus_ponens,[status(thm)],[8137, 8136])).
% 4.54/3.40 tff(8139,plain,
% 4.54/3.40 ((~m_main_v_state1(s97, c_t1)) | (~m_main_v_state2(s97, c_n2)) | m_main_v_state2(s98, c_t2)),
% 4.54/3.40 inference(unit_resolution,[status(thm)],[8138, 922, 8135])).
% 4.54/3.40 tff(8140,plain,
% 4.54/3.40 (m_main_v_state2(s98, c_t2)),
% 4.54/3.40 inference(unit_resolution,[status(thm)],[8139, 8060, 8096])).
% 4.54/3.40 tff(8141,plain,
% 4.54/3.40 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s98, c_n2)) | (~m_main_v_state2(s98, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s98, c_n2)) | (~m_main_v_state2(s98, c_t2)))),
% 4.54/3.40 inference(rewrite,[status(thm)],[])).
% 4.54/3.40 tff(8142,plain,
% 4.54/3.40 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s98, c_n2)) | (~m_main_v_state2(s98, c_t2)))),
% 4.54/3.41 inference(quant_inst,[status(thm)],[])).
% 4.54/3.41 tff(8143,plain,
% 4.54/3.41 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s98, c_n2)) | (~m_main_v_state2(s98, c_t2))),
% 4.54/3.41 inference(modus_ponens,[status(thm)],[8142, 8141])).
% 4.54/3.41 tff(8144,plain,
% 4.54/3.41 (~m_main_v_state2(s98, c_n2)),
% 4.54/3.41 inference(unit_resolution,[status(thm)],[8143, 77, 8140])).
% 4.54/3.41 tff(8145,plain,
% 4.54/3.41 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s98, c_n2) | (~node8(s98)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s98, c_n2) | (~node8(s98)))),
% 4.54/3.41 inference(rewrite,[status(thm)],[])).
% 4.54/3.41 tff(8146,plain,
% 4.54/3.41 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s98, c_n2) | (~node8(s98)))),
% 4.54/3.41 inference(quant_inst,[status(thm)],[])).
% 4.54/3.41 tff(8147,plain,
% 4.54/3.41 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s98, c_n2) | (~node8(s98))),
% 4.54/3.41 inference(modus_ponens,[status(thm)],[8146, 8145])).
% 4.54/3.41 tff(8148,plain,
% 4.54/3.41 (~node8(s98)),
% 4.54/3.41 inference(unit_resolution,[status(thm)],[8147, 271, 8144])).
% 4.54/3.41 tff(8149,plain,
% 4.54/3.41 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s98, c_n2) | (~node9(s98)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s98, c_n2) | (~node9(s98)))),
% 4.54/3.41 inference(rewrite,[status(thm)],[])).
% 4.54/3.41 tff(8150,plain,
% 4.54/3.41 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s98, c_n2) | (~node9(s98)))),
% 4.54/3.41 inference(quant_inst,[status(thm)],[])).
% 4.54/3.41 tff(8151,plain,
% 4.54/3.41 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s98, c_n2) | (~node9(s98))),
% 4.54/3.41 inference(modus_ponens,[status(thm)],[8150, 8149])).
% 4.54/3.41 tff(8152,plain,
% 4.54/3.41 (~node9(s98)),
% 4.54/3.41 inference(unit_resolution,[status(thm)],[8151, 88, 8144])).
% 4.54/3.41 tff(8153,plain,
% 4.54/3.41 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s98, c_n2) | (~node10(s98)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s98, c_n2) | (~node10(s98)))),
% 4.54/3.41 inference(rewrite,[status(thm)],[])).
% 4.54/3.41 tff(8154,plain,
% 4.54/3.41 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s98, c_n2) | (~node10(s98)))),
% 4.54/3.41 inference(quant_inst,[status(thm)],[])).
% 4.54/3.41 tff(8155,plain,
% 4.54/3.41 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s98, c_n2) | (~node10(s98))),
% 4.54/3.41 inference(modus_ponens,[status(thm)],[8154, 8153])).
% 4.54/3.41 tff(8156,plain,
% 4.54/3.41 (~node10(s98)),
% 4.54/3.41 inference(unit_resolution,[status(thm)],[8155, 249, 8144])).
% 4.54/3.41 tff(8157,plain,
% 4.54/3.41 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s98, c_t2)) | (~m_main_v_state2(s98, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s98, c_t2)) | (~m_main_v_state2(s98, c_c2)))),
% 4.54/3.41 inference(rewrite,[status(thm)],[])).
% 4.54/3.41 tff(8158,plain,
% 4.54/3.41 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s98, c_t2)) | (~m_main_v_state2(s98, c_c2)))),
% 4.54/3.41 inference(quant_inst,[status(thm)],[])).
% 4.54/3.41 tff(8159,plain,
% 4.54/3.41 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s98, c_t2)) | (~m_main_v_state2(s98, c_c2))),
% 4.54/3.41 inference(modus_ponens,[status(thm)],[8158, 8157])).
% 4.54/3.41 tff(8160,plain,
% 4.54/3.41 (~m_main_v_state2(s98, c_c2)),
% 4.54/3.41 inference(unit_resolution,[status(thm)],[8159, 260, 8140])).
% 4.54/3.41 tff(8161,plain,
% 4.54/3.41 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s97, c_n2)) | (~m_main_v_state2(s97, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s97, c_n2)) | (~m_main_v_state2(s97, c_c2)))),
% 4.54/3.41 inference(rewrite,[status(thm)],[])).
% 4.54/3.41 tff(8162,plain,
% 4.54/3.41 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s97, c_n2)) | (~m_main_v_state2(s97, c_c2)))),
% 4.54/3.41 inference(quant_inst,[status(thm)],[])).
% 4.54/3.41 tff(8163,plain,
% 4.54/3.41 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s97, c_n2)) | (~m_main_v_state2(s97, c_c2))),
% 4.54/3.41 inference(modus_ponens,[status(thm)],[8162, 8161])).
% 4.54/3.41 tff(8164,plain,
% 4.54/3.41 (~m_main_v_state2(s97, c_c2)),
% 4.54/3.41 inference(unit_resolution,[status(thm)],[8163, 697, 8096])).
% 4.54/3.41 tff(8165,plain,
% 4.54/3.41 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s97, c_c2) | (~node3(s97)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s97, c_c2) | (~node3(s97)))),
% 4.54/3.41 inference(rewrite,[status(thm)],[])).
% 4.54/3.41 tff(8166,plain,
% 4.54/3.41 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s97, c_c2) | (~node3(s97)))),
% 4.54/3.41 inference(quant_inst,[status(thm)],[])).
% 4.54/3.41 tff(8167,plain,
% 4.54/3.41 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s97, c_c2) | (~node3(s97))),
% 4.54/3.41 inference(modus_ponens,[status(thm)],[8166, 8165])).
% 4.54/3.41 tff(8168,plain,
% 4.54/3.41 (~node3(s97)),
% 4.54/3.41 inference(unit_resolution,[status(thm)],[8167, 399, 8164])).
% 4.54/3.41 tff(8169,plain,
% 4.54/3.41 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s96, c_n1) | (~m_main_v_state1(s97, c_n1)) | (~node6(s96, s97)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s96, c_n1) | (~m_main_v_state1(s97, c_n1)) | (~node6(s96, s97)))),
% 4.54/3.41 inference(rewrite,[status(thm)],[])).
% 4.54/3.41 tff(8170,plain,
% 4.54/3.41 (((~node6(s96, s97)) | m_main_v_state1(s96, c_n1) | (~m_main_v_state1(s97, c_n1))) <=> (m_main_v_state1(s96, c_n1) | (~m_main_v_state1(s97, c_n1)) | (~node6(s96, s97)))),
% 4.54/3.41 inference(rewrite,[status(thm)],[])).
% 4.54/3.41 tff(8171,plain,
% 4.54/3.41 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s96, s97)) | m_main_v_state1(s96, c_n1) | (~m_main_v_state1(s97, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s96, c_n1) | (~m_main_v_state1(s97, c_n1)) | (~node6(s96, s97))))),
% 4.54/3.41 inference(monotonicity,[status(thm)],[8170])).
% 4.54/3.41 tff(8172,plain,
% 4.54/3.41 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s96, s97)) | m_main_v_state1(s96, c_n1) | (~m_main_v_state1(s97, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s96, c_n1) | (~m_main_v_state1(s97, c_n1)) | (~node6(s96, s97)))),
% 4.54/3.41 inference(transitivity,[status(thm)],[8171, 8169])).
% 4.54/3.41 tff(8173,plain,
% 4.54/3.41 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s96, s97)) | m_main_v_state1(s96, c_n1) | (~m_main_v_state1(s97, c_n1)))),
% 4.54/3.41 inference(quant_inst,[status(thm)],[])).
% 4.54/3.41 tff(8174,plain,
% 4.54/3.41 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s96, c_n1) | (~m_main_v_state1(s97, c_n1)) | (~node6(s96, s97))),
% 4.54/3.41 inference(modus_ponens,[status(thm)],[8173, 8172])).
% 4.54/3.41 tff(8175,plain,
% 4.54/3.41 (~m_main_v_state1(s97, c_n1)),
% 4.54/3.41 inference(unit_resolution,[status(thm)],[8174, 835, 7968, 8053])).
% 4.54/3.41 tff(8176,plain,
% 4.54/3.41 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s97, c_n1) | (~node2(s97)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s97, c_n1) | (~node2(s97)))),
% 4.54/3.41 inference(rewrite,[status(thm)],[])).
% 4.54/3.41 tff(8177,plain,
% 4.54/3.41 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s97, c_n1) | (~node2(s97)))),
% 4.54/3.41 inference(quant_inst,[status(thm)],[])).
% 4.54/3.41 tff(8178,plain,
% 4.54/3.41 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s97, c_n1) | (~node2(s97))),
% 4.54/3.41 inference(modus_ponens,[status(thm)],[8177, 8176])).
% 4.54/3.41 tff(8179,plain,
% 4.54/3.41 (~node2(s97)),
% 4.54/3.41 inference(unit_resolution,[status(thm)],[8178, 787, 8175])).
% 4.54/3.41 tff(8180,plain,
% 4.54/3.41 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s97, c_t2) | (~node1(s97)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s97, c_t2) | (~node1(s97)))),
% 4.54/3.41 inference(rewrite,[status(thm)],[])).
% 4.54/3.41 tff(8181,plain,
% 4.54/3.41 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s97, c_t2) | (~node1(s97)))),
% 4.54/3.41 inference(quant_inst,[status(thm)],[])).
% 4.54/3.41 tff(8182,plain,
% 4.54/3.41 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s97, c_t2) | (~node1(s97))),
% 4.54/3.41 inference(modus_ponens,[status(thm)],[8181, 8180])).
% 4.54/3.41 tff(8183,plain,
% 4.54/3.41 (~node1(s97)),
% 4.54/3.41 inference(unit_resolution,[status(thm)],[8182, 195, 8100])).
% 4.54/3.41 tff(8184,plain,
% 4.54/3.41 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s97, s98)) | node7(s97, s98))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s97, s98)) | node7(s97, s98))),
% 4.54/3.41 inference(rewrite,[status(thm)],[])).
% 4.54/3.41 tff(8185,plain,
% 4.54/3.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s97, s98)) | node7(s97, s98))),
% 4.54/3.41 inference(quant_inst,[status(thm)],[])).
% 4.54/3.41 tff(8186,plain,
% 4.54/3.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s97, s98)) | node7(s97, s98)),
% 4.54/3.41 inference(modus_ponens,[status(thm)],[8185, 8184])).
% 4.54/3.41 tff(8187,plain,
% 4.54/3.41 (node7(s97, s98)),
% 4.54/3.41 inference(unit_resolution,[status(thm)],[8186, 206, 8111])).
% 4.54/3.41 tff(8188,plain,
% 4.54/3.41 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s97, c_t1)) | (~m_main_v_state2(s97, c_n2)) | m_main_v_state1(s98, c_c1) | node1(s97) | node2(s97) | node3(s97) | (~node7(s97, s98)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s97, c_t1)) | (~m_main_v_state2(s97, c_n2)) | m_main_v_state1(s98, c_c1) | node1(s97) | node2(s97) | node3(s97) | (~node7(s97, s98)))),
% 4.54/3.41 inference(rewrite,[status(thm)],[])).
% 4.54/3.41 tff(8189,plain,
% 4.54/3.41 (((~m_main_v_state1(s97, c_t1)) | (~m_main_v_state2(s97, c_n2)) | node1(s97) | node2(s97) | node3(s97) | (~node7(s97, s98)) | m_main_v_state1(s98, c_c1)) <=> ((~m_main_v_state1(s97, c_t1)) | (~m_main_v_state2(s97, c_n2)) | m_main_v_state1(s98, c_c1) | node1(s97) | node2(s97) | node3(s97) | (~node7(s97, s98)))),
% 4.54/3.41 inference(rewrite,[status(thm)],[])).
% 4.54/3.41 tff(8190,plain,
% 4.54/3.41 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s97, c_t1)) | (~m_main_v_state2(s97, c_n2)) | node1(s97) | node2(s97) | node3(s97) | (~node7(s97, s98)) | m_main_v_state1(s98, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s97, c_t1)) | (~m_main_v_state2(s97, c_n2)) | m_main_v_state1(s98, c_c1) | node1(s97) | node2(s97) | node3(s97) | (~node7(s97, s98))))),
% 4.54/3.41 inference(monotonicity,[status(thm)],[8189])).
% 4.54/3.41 tff(8191,plain,
% 4.54/3.41 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s97, c_t1)) | (~m_main_v_state2(s97, c_n2)) | node1(s97) | node2(s97) | node3(s97) | (~node7(s97, s98)) | m_main_v_state1(s98, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s97, c_t1)) | (~m_main_v_state2(s97, c_n2)) | m_main_v_state1(s98, c_c1) | node1(s97) | node2(s97) | node3(s97) | (~node7(s97, s98)))),
% 4.54/3.41 inference(transitivity,[status(thm)],[8190, 8188])).
% 4.54/3.41 tff(8192,plain,
% 4.54/3.41 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s97, c_t1)) | (~m_main_v_state2(s97, c_n2)) | node1(s97) | node2(s97) | node3(s97) | (~node7(s97, s98)) | m_main_v_state1(s98, c_c1))),
% 4.54/3.41 inference(quant_inst,[status(thm)],[])).
% 4.54/3.41 tff(8193,plain,
% 4.54/3.41 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s97, c_t1)) | (~m_main_v_state2(s97, c_n2)) | m_main_v_state1(s98, c_c1) | node1(s97) | node2(s97) | node3(s97) | (~node7(s97, s98))),
% 4.54/3.41 inference(modus_ponens,[status(thm)],[8192, 8191])).
% 4.54/3.41 tff(8194,plain,
% 4.54/3.41 ((~m_main_v_state1(s97, c_t1)) | (~m_main_v_state2(s97, c_n2)) | m_main_v_state1(s98, c_c1) | node1(s97) | node2(s97) | node3(s97)),
% 4.54/3.41 inference(unit_resolution,[status(thm)],[8193, 892, 8187])).
% 4.54/3.41 tff(8195,plain,
% 4.54/3.41 (m_main_v_state1(s98, c_c1)),
% 4.54/3.41 inference(unit_resolution,[status(thm)],[8194, 8183, 8096, 8060, 8179, 8168])).
% 4.54/3.41 tff(8196,plain,
% 4.54/3.41 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s98, c_n1)) | (~m_main_v_state1(s98, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s98, c_n1)) | (~m_main_v_state1(s98, c_c1)))),
% 4.54/3.41 inference(rewrite,[status(thm)],[])).
% 4.54/3.41 tff(8197,plain,
% 4.54/3.41 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s98, c_n1)) | (~m_main_v_state1(s98, c_c1)))),
% 4.54/3.41 inference(quant_inst,[status(thm)],[])).
% 4.54/3.41 tff(8198,plain,
% 4.54/3.41 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s98, c_n1)) | (~m_main_v_state1(s98, c_c1))),
% 4.54/3.41 inference(modus_ponens,[status(thm)],[8197, 8196])).
% 4.54/3.41 tff(8199,plain,
% 4.54/3.41 (~m_main_v_state1(s98, c_n1)),
% 4.54/3.41 inference(unit_resolution,[status(thm)],[8198, 454, 8195])).
% 4.54/3.41 tff(8200,plain,
% 4.54/3.41 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s98, c_n1) | (~node11(s98)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s98, c_n1) | (~node11(s98)))),
% 4.54/3.41 inference(rewrite,[status(thm)],[])).
% 4.54/3.41 tff(8201,plain,
% 4.54/3.41 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s98, c_n1) | (~node11(s98)))),
% 4.54/3.41 inference(quant_inst,[status(thm)],[])).
% 4.54/3.41 tff(8202,plain,
% 4.54/3.41 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s98, c_n1) | (~node11(s98))),
% 4.54/3.41 inference(modus_ponens,[status(thm)],[8201, 8200])).
% 4.54/3.41 tff(8203,plain,
% 4.54/3.41 (~node11(s98)),
% 4.54/3.41 inference(unit_resolution,[status(thm)],[8202, 238, 8199])).
% 4.54/3.41 tff(8204,plain,
% 4.54/3.41 (succ(s98, s99) <=> succ(s98, s99)),
% 4.54/3.41 inference(rewrite,[status(thm)],[])).
% 4.54/3.41 tff(8205,axiom,(succ(s98, s99)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound99')).
% 4.54/3.41 tff(8206,plain,
% 4.54/3.41 (succ(s98, s99)),
% 4.54/3.41 inference(modus_ponens,[status(thm)],[8205, 8204])).
% 4.54/3.41 tff(8207,plain,
% 4.54/3.41 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s98, s99)) | trans(s98, s99))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s98, s99)) | trans(s98, s99))),
% 4.54/3.41 inference(rewrite,[status(thm)],[])).
% 4.54/3.41 tff(8208,plain,
% 4.54/3.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s98, s99)) | trans(s98, s99))),
% 4.54/3.41 inference(quant_inst,[status(thm)],[])).
% 4.54/3.41 tff(8209,plain,
% 4.54/3.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s98, s99)) | trans(s98, s99)),
% 4.54/3.41 inference(modus_ponens,[status(thm)],[8208, 8207])).
% 4.54/3.41 tff(8210,plain,
% 4.54/3.41 (trans(s98, s99)),
% 4.54/3.41 inference(unit_resolution,[status(thm)],[8209, 8206, 32])).
% 4.54/3.41 tff(8211,plain,
% 4.54/3.41 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s98, s99)) | node14(s98, s99))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s98, s99)) | node14(s98, s99))),
% 4.54/3.41 inference(rewrite,[status(thm)],[])).
% 4.54/3.41 tff(8212,plain,
% 4.54/3.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s98, s99)) | node14(s98, s99))),
% 4.54/3.41 inference(quant_inst,[status(thm)],[])).
% 4.54/3.41 tff(8213,plain,
% 4.54/3.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s98, s99)) | node14(s98, s99)),
% 4.54/3.41 inference(modus_ponens,[status(thm)],[8212, 8211])).
% 4.54/3.41 tff(8214,plain,
% 4.54/3.41 (node14(s98, s99)),
% 4.54/3.41 inference(unit_resolution,[status(thm)],[8213, 46, 8210])).
% 4.54/3.41 tff(8215,plain,
% 4.54/3.41 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s98, c_c2) | node9(s98) | node8(s98) | node10(s98) | node11(s98) | node12(s98) | node13(s98, s99) | (~node14(s98, s99)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s98, c_c2) | node9(s98) | node8(s98) | node10(s98) | node11(s98) | node12(s98) | node13(s98, s99) | (~node14(s98, s99)))),
% 4.54/3.41 inference(rewrite,[status(thm)],[])).
% 4.54/3.41 tff(8216,plain,
% 4.54/3.41 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s98, c_c2) | node9(s98) | node8(s98) | node10(s98) | node11(s98) | node12(s98) | node13(s98, s99) | (~node14(s98, s99)))),
% 4.54/3.41 inference(quant_inst,[status(thm)],[])).
% 4.54/3.41 tff(8217,plain,
% 4.54/3.41 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s98, c_c2) | node9(s98) | node8(s98) | node10(s98) | node11(s98) | node12(s98) | node13(s98, s99) | (~node14(s98, s99))),
% 4.54/3.41 inference(modus_ponens,[status(thm)],[8216, 8215])).
% 4.54/3.41 tff(8218,plain,
% 4.54/3.41 (m_main_v_state2(s98, c_c2) | node9(s98) | node8(s98) | node10(s98) | node11(s98) | node12(s98) | node13(s98, s99)),
% 4.54/3.41 inference(unit_resolution,[status(thm)],[8217, 296, 8214])).
% 4.54/3.41 tff(8219,plain,
% 4.54/3.41 (node13(s98, s99)),
% 4.54/3.41 inference(unit_resolution,[status(thm)],[8218, 8203, 8160, 8156, 8152, 8148, 8131])).
% 4.54/3.41 tff(8220,plain,
% 4.54/3.41 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s98, c_n2) | (~m_main_v_state2(s99, c_n2)) | (~node13(s98, s99)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s98, c_n2) | (~m_main_v_state2(s99, c_n2)) | (~node13(s98, s99)))),
% 4.54/3.41 inference(rewrite,[status(thm)],[])).
% 4.54/3.41 tff(8221,plain,
% 4.54/3.41 (((~node13(s98, s99)) | m_main_v_state2(s98, c_n2) | (~m_main_v_state2(s99, c_n2))) <=> (m_main_v_state2(s98, c_n2) | (~m_main_v_state2(s99, c_n2)) | (~node13(s98, s99)))),
% 4.54/3.41 inference(rewrite,[status(thm)],[])).
% 4.54/3.41 tff(8222,plain,
% 4.54/3.41 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s98, s99)) | m_main_v_state2(s98, c_n2) | (~m_main_v_state2(s99, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s98, c_n2) | (~m_main_v_state2(s99, c_n2)) | (~node13(s98, s99))))),
% 4.54/3.41 inference(monotonicity,[status(thm)],[8221])).
% 4.54/3.41 tff(8223,plain,
% 4.54/3.41 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s98, s99)) | m_main_v_state2(s98, c_n2) | (~m_main_v_state2(s99, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s98, c_n2) | (~m_main_v_state2(s99, c_n2)) | (~node13(s98, s99)))),
% 4.54/3.41 inference(transitivity,[status(thm)],[8222, 8220])).
% 4.54/3.41 tff(8224,plain,
% 4.54/3.41 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s98, s99)) | m_main_v_state2(s98, c_n2) | (~m_main_v_state2(s99, c_n2)))),
% 4.54/3.41 inference(quant_inst,[status(thm)],[])).
% 4.54/3.41 tff(8225,plain,
% 4.54/3.41 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s98, c_n2) | (~m_main_v_state2(s99, c_n2)) | (~node13(s98, s99))),
% 4.54/3.41 inference(modus_ponens,[status(thm)],[8224, 8223])).
% 4.54/3.41 tff(8226,plain,
% 4.54/3.41 (~m_main_v_state2(s99, c_n2)),
% 4.54/3.41 inference(unit_resolution,[status(thm)],[8225, 311, 8144, 8219])).
% 4.54/3.41 tff(8227,plain,
% 4.54/3.41 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s99, c_n2) | (~node9(s99)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s99, c_n2) | (~node9(s99)))),
% 4.54/3.41 inference(rewrite,[status(thm)],[])).
% 4.54/3.41 tff(8228,plain,
% 4.54/3.41 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s99, c_n2) | (~node9(s99)))),
% 4.54/3.41 inference(quant_inst,[status(thm)],[])).
% 4.54/3.41 tff(8229,plain,
% 4.54/3.41 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s99, c_n2) | (~node9(s99))),
% 4.54/3.41 inference(modus_ponens,[status(thm)],[8228, 8227])).
% 4.54/3.41 tff(8230,plain,
% 4.54/3.41 (~node9(s99)),
% 4.54/3.41 inference(unit_resolution,[status(thm)],[8229, 88, 8226])).
% 4.54/3.41 tff(8231,plain,
% 4.54/3.41 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s99, c_n2) | (~node10(s99)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s99, c_n2) | (~node10(s99)))),
% 4.54/3.41 inference(rewrite,[status(thm)],[])).
% 4.54/3.41 tff(8232,plain,
% 4.54/3.41 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s99, c_n2) | (~node10(s99)))),
% 4.54/3.41 inference(quant_inst,[status(thm)],[])).
% 4.54/3.41 tff(8233,plain,
% 4.54/3.41 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s99, c_n2) | (~node10(s99))),
% 4.54/3.41 inference(modus_ponens,[status(thm)],[8232, 8231])).
% 4.54/3.41 tff(8234,plain,
% 4.54/3.41 (~node10(s99)),
% 4.54/3.41 inference(unit_resolution,[status(thm)],[8233, 249, 8226])).
% 4.54/3.41 tff(8235,plain,
% 4.54/3.41 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s98, c_t2)) | m_main_v_state2(s99, c_t2) | (~node13(s98, s99)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s98, c_t2)) | m_main_v_state2(s99, c_t2) | (~node13(s98, s99)))),
% 4.54/3.41 inference(rewrite,[status(thm)],[])).
% 4.54/3.41 tff(8236,plain,
% 4.54/3.41 (((~node13(s98, s99)) | (~m_main_v_state2(s98, c_t2)) | m_main_v_state2(s99, c_t2)) <=> ((~m_main_v_state2(s98, c_t2)) | m_main_v_state2(s99, c_t2) | (~node13(s98, s99)))),
% 4.54/3.41 inference(rewrite,[status(thm)],[])).
% 4.54/3.41 tff(8237,plain,
% 4.54/3.41 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s98, s99)) | (~m_main_v_state2(s98, c_t2)) | m_main_v_state2(s99, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s98, c_t2)) | m_main_v_state2(s99, c_t2) | (~node13(s98, s99))))),
% 4.54/3.41 inference(monotonicity,[status(thm)],[8236])).
% 4.54/3.41 tff(8238,plain,
% 4.54/3.41 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s98, s99)) | (~m_main_v_state2(s98, c_t2)) | m_main_v_state2(s99, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s98, c_t2)) | m_main_v_state2(s99, c_t2) | (~node13(s98, s99)))),
% 4.54/3.41 inference(transitivity,[status(thm)],[8237, 8235])).
% 4.54/3.41 tff(8239,plain,
% 4.54/3.41 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s98, s99)) | (~m_main_v_state2(s98, c_t2)) | m_main_v_state2(s99, c_t2))),
% 4.54/3.41 inference(quant_inst,[status(thm)],[])).
% 4.54/3.41 tff(8240,plain,
% 4.54/3.41 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s98, c_t2)) | m_main_v_state2(s99, c_t2) | (~node13(s98, s99))),
% 4.54/3.41 inference(modus_ponens,[status(thm)],[8239, 8238])).
% 4.54/3.41 tff(8241,plain,
% 4.54/3.41 (m_main_v_state2(s99, c_t2)),
% 4.54/3.41 inference(unit_resolution,[status(thm)],[8240, 518, 8140, 8219])).
% 4.54/3.41 tff(8242,plain,
% 4.54/3.41 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s98, c_t1)) | (~m_main_v_state1(s98, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s98, c_t1)) | (~m_main_v_state1(s98, c_c1)))),
% 4.54/3.41 inference(rewrite,[status(thm)],[])).
% 4.54/3.41 tff(8243,plain,
% 4.54/3.41 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s98, c_t1)) | (~m_main_v_state1(s98, c_c1)))),
% 4.54/3.41 inference(quant_inst,[status(thm)],[])).
% 4.54/3.41 tff(8244,plain,
% 4.54/3.41 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s98, c_t1)) | (~m_main_v_state1(s98, c_c1))),
% 4.54/3.41 inference(modus_ponens,[status(thm)],[8243, 8242])).
% 4.54/3.41 tff(8245,plain,
% 4.54/3.41 (~m_main_v_state1(s98, c_t1)),
% 4.54/3.41 inference(unit_resolution,[status(thm)],[8244, 539, 8195])).
% 4.54/3.41 tff(8246,plain,
% 4.54/3.41 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s98, c_t1) | (~node5(s98)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s98, c_t1) | (~node5(s98)))),
% 4.54/3.41 inference(rewrite,[status(thm)],[])).
% 4.54/3.41 tff(8247,plain,
% 4.54/3.41 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s98, c_t1) | (~node5(s98)))),
% 4.54/3.41 inference(quant_inst,[status(thm)],[])).
% 4.54/3.41 tff(8248,plain,
% 4.54/3.41 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s98, c_t1) | (~node5(s98))),
% 4.54/3.41 inference(modus_ponens,[status(thm)],[8247, 8246])).
% 4.54/3.41 tff(8249,plain,
% 4.54/3.41 (~node5(s98)),
% 4.54/3.41 inference(unit_resolution,[status(thm)],[8248, 550, 8245])).
% 4.54/3.41 tff(8250,plain,
% 4.54/3.41 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s98, c_n2) | (~node4(s98)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s98, c_n2) | (~node4(s98)))),
% 4.54/3.41 inference(rewrite,[status(thm)],[])).
% 4.54/3.41 tff(8251,plain,
% 4.54/3.41 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s98, c_n2) | (~node4(s98)))),
% 4.54/3.41 inference(quant_inst,[status(thm)],[])).
% 4.54/3.41 tff(8252,plain,
% 4.54/3.41 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s98, c_n2) | (~node4(s98))),
% 4.54/3.41 inference(modus_ponens,[status(thm)],[8251, 8250])).
% 4.54/3.41 tff(8253,plain,
% 4.54/3.41 (~node4(s98)),
% 4.54/3.41 inference(unit_resolution,[status(thm)],[8252, 388, 8144])).
% 4.54/3.41 tff(8254,plain,
% 4.54/3.41 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s98, c_c2) | (~node3(s98)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s98, c_c2) | (~node3(s98)))),
% 4.54/3.41 inference(rewrite,[status(thm)],[])).
% 4.54/3.41 tff(8255,plain,
% 4.54/3.41 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s98, c_c2) | (~node3(s98)))),
% 4.54/3.41 inference(quant_inst,[status(thm)],[])).
% 4.54/3.41 tff(8256,plain,
% 4.54/3.41 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s98, c_c2) | (~node3(s98))),
% 4.54/3.41 inference(modus_ponens,[status(thm)],[8255, 8254])).
% 4.54/3.41 tff(8257,plain,
% 4.54/3.41 (~node3(s98)),
% 4.54/3.41 inference(unit_resolution,[status(thm)],[8256, 399, 8160])).
% 4.54/3.41 tff(8258,plain,
% 4.54/3.41 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s98, c_n2) | (~node2(s98)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s98, c_n2) | (~node2(s98)))),
% 4.54/3.41 inference(rewrite,[status(thm)],[])).
% 4.54/3.41 tff(8259,plain,
% 4.54/3.41 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s98, c_n2) | (~node2(s98)))),
% 4.54/3.41 inference(quant_inst,[status(thm)],[])).
% 4.54/3.41 tff(8260,plain,
% 4.54/3.41 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s98, c_n2) | (~node2(s98))),
% 4.54/3.41 inference(modus_ponens,[status(thm)],[8259, 8258])).
% 4.54/3.41 tff(8261,plain,
% 4.54/3.41 (~node2(s98)),
% 4.54/3.41 inference(unit_resolution,[status(thm)],[8260, 410, 8144])).
% 4.54/3.41 tff(8262,plain,
% 4.54/3.41 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s98, c_n1) | (~node1(s98)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s98, c_n1) | (~node1(s98)))),
% 4.54/3.41 inference(rewrite,[status(thm)],[])).
% 4.54/3.41 tff(8263,plain,
% 4.54/3.41 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s98, c_n1) | (~node1(s98)))),
% 4.54/3.41 inference(quant_inst,[status(thm)],[])).
% 4.54/3.41 tff(8264,plain,
% 4.54/3.41 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s98, c_n1) | (~node1(s98))),
% 4.54/3.41 inference(modus_ponens,[status(thm)],[8263, 8262])).
% 4.54/3.41 tff(8265,plain,
% 4.54/3.41 (~node1(s98)),
% 4.54/3.41 inference(unit_resolution,[status(thm)],[8264, 421, 8199])).
% 4.54/3.41 tff(8266,plain,
% 4.54/3.41 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s98, s99)) | node7(s98, s99))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s98, s99)) | node7(s98, s99))),
% 4.54/3.42 inference(rewrite,[status(thm)],[])).
% 4.54/3.42 tff(8267,plain,
% 4.54/3.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s98, s99)) | node7(s98, s99))),
% 4.54/3.42 inference(quant_inst,[status(thm)],[])).
% 4.54/3.42 tff(8268,plain,
% 4.54/3.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s98, s99)) | node7(s98, s99)),
% 4.54/3.42 inference(modus_ponens,[status(thm)],[8267, 8266])).
% 4.54/3.42 tff(8269,plain,
% 4.54/3.42 (node7(s98, s99)),
% 4.54/3.42 inference(unit_resolution,[status(thm)],[8268, 206, 8210])).
% 4.54/3.42 tff(8270,plain,
% 4.54/3.42 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s99, c_n1) | (~m_main_v_state1(s98, c_c1)) | node1(s98) | node2(s98) | node3(s98) | node4(s98) | node5(s98) | (~node7(s98, s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s99, c_n1) | (~m_main_v_state1(s98, c_c1)) | node1(s98) | node2(s98) | node3(s98) | node4(s98) | node5(s98) | (~node7(s98, s99)))),
% 4.54/3.42 inference(rewrite,[status(thm)],[])).
% 4.54/3.42 tff(8271,plain,
% 4.54/3.42 (((~m_main_v_state1(s98, c_c1)) | node1(s98) | node2(s98) | node3(s98) | node4(s98) | node5(s98) | (~node7(s98, s99)) | m_main_v_state1(s99, c_n1)) <=> (m_main_v_state1(s99, c_n1) | (~m_main_v_state1(s98, c_c1)) | node1(s98) | node2(s98) | node3(s98) | node4(s98) | node5(s98) | (~node7(s98, s99)))),
% 4.54/3.42 inference(rewrite,[status(thm)],[])).
% 4.54/3.42 tff(8272,plain,
% 4.54/3.42 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s98, c_c1)) | node1(s98) | node2(s98) | node3(s98) | node4(s98) | node5(s98) | (~node7(s98, s99)) | m_main_v_state1(s99, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s99, c_n1) | (~m_main_v_state1(s98, c_c1)) | node1(s98) | node2(s98) | node3(s98) | node4(s98) | node5(s98) | (~node7(s98, s99))))),
% 4.54/3.42 inference(monotonicity,[status(thm)],[8271])).
% 4.54/3.42 tff(8273,plain,
% 4.54/3.42 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s98, c_c1)) | node1(s98) | node2(s98) | node3(s98) | node4(s98) | node5(s98) | (~node7(s98, s99)) | m_main_v_state1(s99, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s99, c_n1) | (~m_main_v_state1(s98, c_c1)) | node1(s98) | node2(s98) | node3(s98) | node4(s98) | node5(s98) | (~node7(s98, s99)))),
% 4.54/3.42 inference(transitivity,[status(thm)],[8272, 8270])).
% 4.54/3.42 tff(8274,plain,
% 4.54/3.42 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s98, c_c1)) | node1(s98) | node2(s98) | node3(s98) | node4(s98) | node5(s98) | (~node7(s98, s99)) | m_main_v_state1(s99, c_n1))),
% 4.54/3.42 inference(quant_inst,[status(thm)],[])).
% 4.54/3.42 tff(8275,plain,
% 4.54/3.42 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s99, c_n1) | (~m_main_v_state1(s98, c_c1)) | node1(s98) | node2(s98) | node3(s98) | node4(s98) | node5(s98) | (~node7(s98, s99))),
% 4.54/3.42 inference(modus_ponens,[status(thm)],[8274, 8273])).
% 4.54/3.42 tff(8276,plain,
% 4.54/3.42 (m_main_v_state1(s99, c_n1) | (~m_main_v_state1(s98, c_c1)) | node1(s98) | node2(s98) | node3(s98) | node4(s98) | node5(s98)),
% 4.54/3.42 inference(unit_resolution,[status(thm)],[8275, 584, 8269])).
% 4.54/3.42 tff(8277,plain,
% 4.54/3.42 (m_main_v_state1(s99, c_n1)),
% 4.54/3.42 inference(unit_resolution,[status(thm)],[8276, 8265, 8195, 8261, 8257, 8253, 8249])).
% 4.54/3.42 tff(8278,plain,
% 4.54/3.42 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s99, c_n2) | (~node8(s99)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s99, c_n2) | (~node8(s99)))),
% 4.54/3.42 inference(rewrite,[status(thm)],[])).
% 4.54/3.42 tff(8279,plain,
% 4.54/3.42 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s99, c_n2) | (~node8(s99)))),
% 4.54/3.42 inference(quant_inst,[status(thm)],[])).
% 4.54/3.42 tff(8280,plain,
% 4.54/3.42 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s99, c_n2) | (~node8(s99))),
% 4.54/3.42 inference(modus_ponens,[status(thm)],[8279, 8278])).
% 4.54/3.42 tff(8281,plain,
% 4.54/3.42 (~node8(s99)),
% 4.54/3.42 inference(unit_resolution,[status(thm)],[8280, 271, 8226])).
% 4.54/3.42 tff(8282,plain,
% 4.54/3.42 (succ(s99, s100) <=> succ(s99, s100)),
% 4.54/3.42 inference(rewrite,[status(thm)],[])).
% 4.54/3.42 tff(8283,axiom,(succ(s99, s100)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound100')).
% 4.54/3.42 tff(8284,plain,
% 4.54/3.42 (succ(s99, s100)),
% 4.54/3.42 inference(modus_ponens,[status(thm)],[8283, 8282])).
% 4.54/3.42 tff(8285,plain,
% 4.54/3.42 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s99, s100)) | trans(s99, s100))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s99, s100)) | trans(s99, s100))),
% 4.54/3.42 inference(rewrite,[status(thm)],[])).
% 4.54/3.42 tff(8286,plain,
% 4.54/3.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s99, s100)) | trans(s99, s100))),
% 4.54/3.42 inference(quant_inst,[status(thm)],[])).
% 4.54/3.42 tff(8287,plain,
% 4.54/3.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s99, s100)) | trans(s99, s100)),
% 4.54/3.42 inference(modus_ponens,[status(thm)],[8286, 8285])).
% 4.54/3.42 tff(8288,plain,
% 4.54/3.42 (trans(s99, s100)),
% 4.54/3.42 inference(unit_resolution,[status(thm)],[8287, 8284, 32])).
% 4.54/3.42 tff(8289,plain,
% 4.54/3.42 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s99, s100)) | node14(s99, s100))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s99, s100)) | node14(s99, s100))),
% 4.54/3.42 inference(rewrite,[status(thm)],[])).
% 4.54/3.42 tff(8290,plain,
% 4.54/3.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s99, s100)) | node14(s99, s100))),
% 4.54/3.42 inference(quant_inst,[status(thm)],[])).
% 4.54/3.42 tff(8291,plain,
% 4.54/3.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s99, s100)) | node14(s99, s100)),
% 4.54/3.42 inference(modus_ponens,[status(thm)],[8290, 8289])).
% 4.54/3.42 tff(8292,plain,
% 4.54/3.42 (node14(s99, s100)),
% 4.54/3.42 inference(unit_resolution,[status(thm)],[8291, 46, 8288])).
% 4.54/3.42 tff(8293,plain,
% 4.54/3.42 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s99, c_n1)) | (~m_main_v_state2(s99, c_t2)) | node9(s99) | node8(s99) | node10(s99) | (~node14(s99, s100)) | m_main_v_state2(s100, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s99, c_n1)) | (~m_main_v_state2(s99, c_t2)) | node9(s99) | node8(s99) | node10(s99) | (~node14(s99, s100)) | m_main_v_state2(s100, c_c2))),
% 4.54/3.42 inference(rewrite,[status(thm)],[])).
% 4.54/3.42 tff(8294,plain,
% 4.54/3.42 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s99, c_n1)) | (~m_main_v_state2(s99, c_t2)) | node9(s99) | node8(s99) | node10(s99) | (~node14(s99, s100)) | m_main_v_state2(s100, c_c2))),
% 4.54/3.42 inference(quant_inst,[status(thm)],[])).
% 4.54/3.42 tff(8295,plain,
% 4.54/3.42 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s99, c_n1)) | (~m_main_v_state2(s99, c_t2)) | node9(s99) | node8(s99) | node10(s99) | (~node14(s99, s100)) | m_main_v_state2(s100, c_c2)),
% 4.54/3.42 inference(modus_ponens,[status(thm)],[8294, 8293])).
% 4.54/3.42 tff(8296,plain,
% 4.54/3.42 ((~m_main_v_state1(s99, c_n1)) | (~m_main_v_state2(s99, c_t2)) | node9(s99) | node8(s99) | node10(s99) | m_main_v_state2(s100, c_c2)),
% 4.54/3.42 inference(unit_resolution,[status(thm)],[8295, 617, 8292])).
% 4.54/3.42 tff(8297,plain,
% 4.54/3.42 (m_main_v_state2(s100, c_c2)),
% 4.54/3.42 inference(unit_resolution,[status(thm)],[8296, 8281, 8277, 8241, 8234, 8230])).
% 4.54/3.42 tff(8298,plain,
% 4.54/3.42 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s100, c_t2)) | (~m_main_v_state2(s100, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s100, c_t2)) | (~m_main_v_state2(s100, c_c2)))),
% 4.54/3.42 inference(rewrite,[status(thm)],[])).
% 4.54/3.42 tff(8299,plain,
% 4.54/3.42 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s100, c_t2)) | (~m_main_v_state2(s100, c_c2)))),
% 4.54/3.42 inference(quant_inst,[status(thm)],[])).
% 4.54/3.42 tff(8300,plain,
% 4.54/3.42 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s100, c_t2)) | (~m_main_v_state2(s100, c_c2))),
% 4.54/3.42 inference(modus_ponens,[status(thm)],[8299, 8298])).
% 4.54/3.42 tff(8301,plain,
% 4.54/3.42 (~m_main_v_state2(s100, c_t2)),
% 4.54/3.42 inference(unit_resolution,[status(thm)],[8300, 260, 8297])).
% 4.54/3.42 tff(8302,plain,
% 4.54/3.42 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s100, c_t2) | (~node12(s100)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s100, c_t2) | (~node12(s100)))),
% 4.54/3.42 inference(rewrite,[status(thm)],[])).
% 4.54/3.42 tff(8303,plain,
% 4.54/3.42 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s100, c_t2) | (~node12(s100)))),
% 4.54/3.42 inference(quant_inst,[status(thm)],[])).
% 4.54/3.42 tff(8304,plain,
% 4.54/3.42 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s100, c_t2) | (~node12(s100))),
% 4.54/3.42 inference(modus_ponens,[status(thm)],[8303, 8302])).
% 4.54/3.42 tff(8305,plain,
% 4.54/3.42 (~node12(s100)),
% 4.54/3.42 inference(unit_resolution,[status(thm)],[8304, 633, 8301])).
% 4.54/3.42 tff(8306,plain,
% 4.54/3.42 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s99, s100)) | node7(s99, s100))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s99, s100)) | node7(s99, s100))),
% 4.54/3.42 inference(rewrite,[status(thm)],[])).
% 4.54/3.42 tff(8307,plain,
% 4.54/3.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s99, s100)) | node7(s99, s100))),
% 4.54/3.42 inference(quant_inst,[status(thm)],[])).
% 4.54/3.42 tff(8308,plain,
% 4.54/3.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s99, s100)) | node7(s99, s100)),
% 4.54/3.42 inference(modus_ponens,[status(thm)],[8307, 8306])).
% 4.54/3.42 tff(8309,plain,
% 4.54/3.42 (node7(s99, s100)),
% 4.54/3.42 inference(unit_resolution,[status(thm)],[8308, 206, 8288])).
% 4.54/3.42 tff(8310,plain,
% 4.54/3.42 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s99, c_n1)) | (~m_main_v_state2(s99, c_t2)) | (~node7(s99, s100)) | m_main_v_state1(s100, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s99, c_n1)) | (~m_main_v_state2(s99, c_t2)) | (~node7(s99, s100)) | m_main_v_state1(s100, c_t1))),
% 4.54/3.42 inference(rewrite,[status(thm)],[])).
% 4.54/3.42 tff(8311,plain,
% 4.54/3.42 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s99, c_n1)) | (~m_main_v_state2(s99, c_t2)) | (~node7(s99, s100)) | m_main_v_state1(s100, c_t1))),
% 4.54/3.42 inference(quant_inst,[status(thm)],[])).
% 4.54/3.42 tff(8312,plain,
% 4.54/3.42 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s99, c_n1)) | (~m_main_v_state2(s99, c_t2)) | (~node7(s99, s100)) | m_main_v_state1(s100, c_t1)),
% 4.54/3.42 inference(modus_ponens,[status(thm)],[8311, 8310])).
% 4.54/3.42 tff(8313,plain,
% 4.54/3.42 ((~m_main_v_state1(s99, c_n1)) | (~m_main_v_state2(s99, c_t2)) | m_main_v_state1(s100, c_t1)),
% 4.54/3.42 inference(unit_resolution,[status(thm)],[8312, 651, 8309])).
% 4.54/3.42 tff(8314,plain,
% 4.54/3.42 (m_main_v_state1(s100, c_t1)),
% 4.54/3.42 inference(unit_resolution,[status(thm)],[8313, 8241, 8277])).
% 4.54/3.42 tff(8315,plain,
% 4.54/3.42 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s100, c_n1)) | (~m_main_v_state1(s100, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s100, c_n1)) | (~m_main_v_state1(s100, c_t1)))),
% 4.54/3.42 inference(rewrite,[status(thm)],[])).
% 4.54/3.42 tff(8316,plain,
% 4.54/3.42 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s100, c_n1)) | (~m_main_v_state1(s100, c_t1)))),
% 4.54/3.42 inference(quant_inst,[status(thm)],[])).
% 4.54/3.42 tff(8317,plain,
% 4.54/3.42 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s100, c_n1)) | (~m_main_v_state1(s100, c_t1))),
% 4.54/3.42 inference(modus_ponens,[status(thm)],[8316, 8315])).
% 4.54/3.42 tff(8318,plain,
% 4.54/3.42 (~m_main_v_state1(s100, c_n1)),
% 4.54/3.42 inference(unit_resolution,[status(thm)],[8317, 10, 8314])).
% 4.54/3.42 tff(8319,plain,
% 4.54/3.42 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s100, c_n1) | (~node11(s100)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s100, c_n1) | (~node11(s100)))),
% 4.54/3.42 inference(rewrite,[status(thm)],[])).
% 4.54/3.42 tff(8320,plain,
% 4.54/3.42 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s100, c_n1) | (~node11(s100)))),
% 4.54/3.42 inference(quant_inst,[status(thm)],[])).
% 4.54/3.42 tff(8321,plain,
% 4.54/3.42 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s100, c_n1) | (~node11(s100))),
% 4.54/3.42 inference(modus_ponens,[status(thm)],[8320, 8319])).
% 4.54/3.42 tff(8322,plain,
% 4.54/3.42 (~node11(s100)),
% 4.54/3.42 inference(unit_resolution,[status(thm)],[8321, 238, 8318])).
% 4.54/3.42 tff(8323,plain,
% 4.54/3.42 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s100, c_t1)) | (~m_main_v_state1(s100, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s100, c_t1)) | (~m_main_v_state1(s100, c_c1)))),
% 4.54/3.42 inference(rewrite,[status(thm)],[])).
% 4.54/3.42 tff(8324,plain,
% 4.54/3.42 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s100, c_t1)) | (~m_main_v_state1(s100, c_c1)))),
% 4.54/3.42 inference(quant_inst,[status(thm)],[])).
% 4.54/3.42 tff(8325,plain,
% 4.54/3.42 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s100, c_t1)) | (~m_main_v_state1(s100, c_c1))),
% 4.54/3.42 inference(modus_ponens,[status(thm)],[8324, 8323])).
% 4.54/3.42 tff(8326,plain,
% 4.54/3.42 (~m_main_v_state1(s100, c_c1)),
% 4.54/3.42 inference(unit_resolution,[status(thm)],[8325, 539, 8314])).
% 4.54/3.42 tff(8327,plain,
% 4.54/3.42 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s100, c_c1) | (~node10(s100)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s100, c_c1) | (~node10(s100)))),
% 4.54/3.42 inference(rewrite,[status(thm)],[])).
% 4.54/3.42 tff(8328,plain,
% 4.54/3.42 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s100, c_c1) | (~node10(s100)))),
% 4.54/3.42 inference(quant_inst,[status(thm)],[])).
% 4.54/3.42 tff(8329,plain,
% 4.54/3.42 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s100, c_c1) | (~node10(s100))),
% 4.54/3.42 inference(modus_ponens,[status(thm)],[8328, 8327])).
% 4.54/3.42 tff(8330,plain,
% 4.54/3.42 (~node10(s100)),
% 4.54/3.42 inference(unit_resolution,[status(thm)],[8329, 675, 8326])).
% 4.54/3.42 tff(8331,plain,
% 4.54/3.42 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s100, c_n1) | (~node9(s100)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s100, c_n1) | (~node9(s100)))),
% 4.54/3.42 inference(rewrite,[status(thm)],[])).
% 4.54/3.42 tff(8332,plain,
% 4.54/3.42 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s100, c_n1) | (~node9(s100)))),
% 4.54/3.42 inference(quant_inst,[status(thm)],[])).
% 4.54/3.42 tff(8333,plain,
% 4.54/3.42 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s100, c_n1) | (~node9(s100))),
% 4.54/3.42 inference(modus_ponens,[status(thm)],[8332, 8331])).
% 4.54/3.42 tff(8334,plain,
% 4.54/3.42 (~node9(s100)),
% 4.54/3.42 inference(unit_resolution,[status(thm)],[8333, 686, 8318])).
% 4.54/3.42 tff(8335,plain,
% 4.54/3.42 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s100, c_n2)) | (~m_main_v_state2(s100, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s100, c_n2)) | (~m_main_v_state2(s100, c_c2)))),
% 4.54/3.42 inference(rewrite,[status(thm)],[])).
% 4.54/3.42 tff(8336,plain,
% 4.54/3.42 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s100, c_n2)) | (~m_main_v_state2(s100, c_c2)))),
% 4.54/3.42 inference(quant_inst,[status(thm)],[])).
% 4.54/3.42 tff(8337,plain,
% 4.54/3.42 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s100, c_n2)) | (~m_main_v_state2(s100, c_c2))),
% 4.54/3.42 inference(modus_ponens,[status(thm)],[8336, 8335])).
% 4.54/3.42 tff(8338,plain,
% 4.54/3.42 (~m_main_v_state2(s100, c_n2)),
% 4.54/3.42 inference(unit_resolution,[status(thm)],[8337, 697, 8297])).
% 4.54/3.42 tff(8339,plain,
% 4.54/3.42 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s100, c_n2) | (~node8(s100)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s100, c_n2) | (~node8(s100)))),
% 4.54/3.42 inference(rewrite,[status(thm)],[])).
% 4.54/3.42 tff(8340,plain,
% 4.54/3.42 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s100, c_n2) | (~node8(s100)))),
% 4.54/3.42 inference(quant_inst,[status(thm)],[])).
% 4.54/3.42 tff(8341,plain,
% 4.54/3.42 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s100, c_n2) | (~node8(s100))),
% 4.54/3.42 inference(modus_ponens,[status(thm)],[8340, 8339])).
% 4.54/3.42 tff(8342,plain,
% 4.54/3.42 (~node8(s100)),
% 4.54/3.42 inference(unit_resolution,[status(thm)],[8341, 271, 8338])).
% 4.54/3.42 tff(8343,plain,
% 4.54/3.42 (succ(s100, s101) <=> succ(s100, s101)),
% 4.54/3.42 inference(rewrite,[status(thm)],[])).
% 4.54/3.42 tff(8344,axiom,(succ(s100, s101)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound101')).
% 4.54/3.42 tff(8345,plain,
% 4.54/3.42 (succ(s100, s101)),
% 4.54/3.42 inference(modus_ponens,[status(thm)],[8344, 8343])).
% 4.54/3.42 tff(8346,plain,
% 4.54/3.42 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s100, s101)) | trans(s100, s101))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s100, s101)) | trans(s100, s101))),
% 4.54/3.42 inference(rewrite,[status(thm)],[])).
% 4.54/3.42 tff(8347,plain,
% 4.54/3.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s100, s101)) | trans(s100, s101))),
% 4.54/3.42 inference(quant_inst,[status(thm)],[])).
% 4.54/3.42 tff(8348,plain,
% 4.54/3.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s100, s101)) | trans(s100, s101)),
% 4.54/3.42 inference(modus_ponens,[status(thm)],[8347, 8346])).
% 4.54/3.42 tff(8349,plain,
% 4.54/3.42 (trans(s100, s101)),
% 4.54/3.42 inference(unit_resolution,[status(thm)],[8348, 8345, 32])).
% 4.54/3.42 tff(8350,plain,
% 4.54/3.42 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s100, s101)) | node14(s100, s101))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s100, s101)) | node14(s100, s101))),
% 4.54/3.42 inference(rewrite,[status(thm)],[])).
% 4.54/3.42 tff(8351,plain,
% 4.54/3.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s100, s101)) | node14(s100, s101))),
% 4.54/3.42 inference(quant_inst,[status(thm)],[])).
% 4.54/3.42 tff(8352,plain,
% 4.54/3.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s100, s101)) | node14(s100, s101)),
% 4.54/3.42 inference(modus_ponens,[status(thm)],[8351, 8350])).
% 4.54/3.42 tff(8353,plain,
% 4.54/3.42 (node14(s100, s101)),
% 4.54/3.42 inference(unit_resolution,[status(thm)],[8352, 46, 8349])).
% 4.54/3.42 tff(8354,plain,
% 4.54/3.42 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s101, c_n2) | node9(s100) | node8(s100) | node10(s100) | node11(s100) | node12(s100) | (~node14(s100, s101)) | (~m_main_v_state2(s100, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s101, c_n2) | node9(s100) | node8(s100) | node10(s100) | node11(s100) | node12(s100) | (~node14(s100, s101)) | (~m_main_v_state2(s100, c_c2)))),
% 4.54/3.42 inference(rewrite,[status(thm)],[])).
% 4.54/3.42 tff(8355,plain,
% 4.54/3.42 (((~m_main_v_state2(s100, c_c2)) | node9(s100) | node8(s100) | node10(s100) | node11(s100) | node12(s100) | (~node14(s100, s101)) | m_main_v_state2(s101, c_n2)) <=> (m_main_v_state2(s101, c_n2) | node9(s100) | node8(s100) | node10(s100) | node11(s100) | node12(s100) | (~node14(s100, s101)) | (~m_main_v_state2(s100, c_c2)))),
% 4.54/3.42 inference(rewrite,[status(thm)],[])).
% 4.54/3.42 tff(8356,plain,
% 4.54/3.42 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s100, c_c2)) | node9(s100) | node8(s100) | node10(s100) | node11(s100) | node12(s100) | (~node14(s100, s101)) | m_main_v_state2(s101, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s101, c_n2) | node9(s100) | node8(s100) | node10(s100) | node11(s100) | node12(s100) | (~node14(s100, s101)) | (~m_main_v_state2(s100, c_c2))))),
% 4.54/3.42 inference(monotonicity,[status(thm)],[8355])).
% 4.54/3.42 tff(8357,plain,
% 4.54/3.42 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s100, c_c2)) | node9(s100) | node8(s100) | node10(s100) | node11(s100) | node12(s100) | (~node14(s100, s101)) | m_main_v_state2(s101, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s101, c_n2) | node9(s100) | node8(s100) | node10(s100) | node11(s100) | node12(s100) | (~node14(s100, s101)) | (~m_main_v_state2(s100, c_c2)))),
% 4.54/3.42 inference(transitivity,[status(thm)],[8356, 8354])).
% 4.54/3.42 tff(8358,plain,
% 4.54/3.42 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s100, c_c2)) | node9(s100) | node8(s100) | node10(s100) | node11(s100) | node12(s100) | (~node14(s100, s101)) | m_main_v_state2(s101, c_n2))),
% 4.54/3.42 inference(quant_inst,[status(thm)],[])).
% 4.54/3.42 tff(8359,plain,
% 4.54/3.42 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s101, c_n2) | node9(s100) | node8(s100) | node10(s100) | node11(s100) | node12(s100) | (~node14(s100, s101)) | (~m_main_v_state2(s100, c_c2))),
% 4.54/3.42 inference(modus_ponens,[status(thm)],[8358, 8357])).
% 4.54/3.42 tff(8360,plain,
% 4.54/3.42 (m_main_v_state2(s101, c_n2) | node9(s100) | node8(s100) | node10(s100) | node11(s100) | node12(s100) | (~m_main_v_state2(s100, c_c2))),
% 4.54/3.42 inference(unit_resolution,[status(thm)],[8359, 726, 8353])).
% 4.54/3.42 tff(8361,plain,
% 4.54/3.42 (m_main_v_state2(s101, c_n2)),
% 4.54/3.42 inference(unit_resolution,[status(thm)],[8360, 8342, 8297, 8334, 8330, 8322, 8305])).
% 4.54/3.42 tff(8362,plain,
% 4.54/3.42 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s101, c_n2)) | (~m_main_v_state2(s101, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s101, c_n2)) | (~m_main_v_state2(s101, c_c2)))),
% 4.54/3.42 inference(rewrite,[status(thm)],[])).
% 4.54/3.42 tff(8363,plain,
% 4.54/3.42 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s101, c_n2)) | (~m_main_v_state2(s101, c_c2)))),
% 4.54/3.42 inference(quant_inst,[status(thm)],[])).
% 4.54/3.42 tff(8364,plain,
% 4.54/3.42 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s101, c_n2)) | (~m_main_v_state2(s101, c_c2))),
% 4.54/3.42 inference(modus_ponens,[status(thm)],[8363, 8362])).
% 4.54/3.42 tff(8365,plain,
% 4.54/3.42 (~m_main_v_state2(s101, c_c2)),
% 4.54/3.42 inference(unit_resolution,[status(thm)],[8364, 697, 8361])).
% 4.54/3.42 tff(8366,plain,
% 4.54/3.42 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s101, c_c2) | (~node3(s101)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s101, c_c2) | (~node3(s101)))),
% 4.54/3.42 inference(rewrite,[status(thm)],[])).
% 4.54/3.42 tff(8367,plain,
% 4.54/3.42 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s101, c_c2) | (~node3(s101)))),
% 4.54/3.42 inference(quant_inst,[status(thm)],[])).
% 4.54/3.42 tff(8368,plain,
% 4.54/3.42 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s101, c_c2) | (~node3(s101))),
% 4.54/3.43 inference(modus_ponens,[status(thm)],[8367, 8366])).
% 4.54/3.43 tff(8369,plain,
% 4.54/3.43 (~node3(s101)),
% 4.54/3.43 inference(unit_resolution,[status(thm)],[8368, 399, 8365])).
% 4.54/3.43 tff(8370,plain,
% 4.54/3.43 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s100, c_n1) | (~node1(s100)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s100, c_n1) | (~node1(s100)))),
% 4.54/3.43 inference(rewrite,[status(thm)],[])).
% 4.54/3.43 tff(8371,plain,
% 4.54/3.43 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s100, c_n1) | (~node1(s100)))),
% 4.54/3.43 inference(quant_inst,[status(thm)],[])).
% 4.54/3.43 tff(8372,plain,
% 4.54/3.43 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s100, c_n1) | (~node1(s100))),
% 4.54/3.43 inference(modus_ponens,[status(thm)],[8371, 8370])).
% 4.54/3.43 tff(8373,plain,
% 4.54/3.43 (~node1(s100)),
% 4.54/3.43 inference(unit_resolution,[status(thm)],[8372, 421, 8318])).
% 4.54/3.43 tff(8374,plain,
% 4.54/3.43 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s99, s100)) | node18(s99, s100))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s99, s100)) | node18(s99, s100))),
% 4.54/3.43 inference(rewrite,[status(thm)],[])).
% 4.54/3.43 tff(8375,plain,
% 4.54/3.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s99, s100)) | node18(s99, s100))),
% 4.54/3.43 inference(quant_inst,[status(thm)],[])).
% 4.54/3.43 tff(8376,plain,
% 4.54/3.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s99, s100)) | node18(s99, s100)),
% 4.54/3.43 inference(modus_ponens,[status(thm)],[8375, 8374])).
% 4.54/3.43 tff(8377,plain,
% 4.54/3.43 (node18(s99, s100)),
% 4.54/3.43 inference(unit_resolution,[status(thm)],[8376, 125, 8288])).
% 4.54/3.43 tff(8378,plain,
% 4.54/3.43 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s99, c_n1)) | (~m_main_v_state2(s99, c_t2)) | (~node18(s99, s100)) | m_main_v_turn(s100, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s99, c_n1)) | (~m_main_v_state2(s99, c_t2)) | (~node18(s99, s100)) | m_main_v_turn(s100, c_2))),
% 4.54/3.43 inference(rewrite,[status(thm)],[])).
% 4.54/3.43 tff(8379,plain,
% 4.54/3.43 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s99, c_n1)) | (~m_main_v_state2(s99, c_t2)) | (~node18(s99, s100)) | m_main_v_turn(s100, c_2))),
% 4.54/3.43 inference(quant_inst,[status(thm)],[])).
% 4.54/3.43 tff(8380,plain,
% 4.54/3.43 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s99, c_n1)) | (~m_main_v_state2(s99, c_t2)) | (~node18(s99, s100)) | m_main_v_turn(s100, c_2)),
% 4.54/3.43 inference(modus_ponens,[status(thm)],[8379, 8378])).
% 4.54/3.43 tff(8381,plain,
% 4.54/3.43 ((~m_main_v_state1(s99, c_n1)) | (~m_main_v_state2(s99, c_t2)) | m_main_v_turn(s100, c_2)),
% 4.54/3.43 inference(unit_resolution,[status(thm)],[8380, 760, 8377])).
% 4.54/3.43 tff(8382,plain,
% 4.54/3.43 (m_main_v_turn(s100, c_2)),
% 4.54/3.43 inference(unit_resolution,[status(thm)],[8381, 8241, 8277])).
% 4.54/3.43 tff(8383,plain,
% 4.54/3.43 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s100, c_1)) | (~m_main_v_turn(s100, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s100, c_1)) | (~m_main_v_turn(s100, c_2)))),
% 4.54/3.43 inference(rewrite,[status(thm)],[])).
% 4.54/3.43 tff(8384,plain,
% 4.54/3.43 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s100, c_1)) | (~m_main_v_turn(s100, c_2)))),
% 4.54/3.43 inference(quant_inst,[status(thm)],[])).
% 4.54/3.43 tff(8385,plain,
% 4.54/3.43 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s100, c_1)) | (~m_main_v_turn(s100, c_2))),
% 4.54/3.43 inference(modus_ponens,[status(thm)],[8384, 8383])).
% 4.54/3.43 tff(8386,plain,
% 4.54/3.43 (~m_main_v_turn(s100, c_1)),
% 4.54/3.43 inference(unit_resolution,[status(thm)],[8385, 156, 8382])).
% 4.54/3.43 tff(8387,plain,
% 4.54/3.43 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s100, c_1) | (~node5(s100)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s100, c_1) | (~node5(s100)))),
% 4.54/3.43 inference(rewrite,[status(thm)],[])).
% 4.54/3.43 tff(8388,plain,
% 4.54/3.43 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s100, c_1) | (~node5(s100)))),
% 4.54/3.43 inference(quant_inst,[status(thm)],[])).
% 4.54/3.43 tff(8389,plain,
% 4.54/3.43 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s100, c_1) | (~node5(s100))),
% 4.54/3.43 inference(modus_ponens,[status(thm)],[8388, 8387])).
% 4.54/3.43 tff(8390,plain,
% 4.54/3.43 (~node5(s100)),
% 4.54/3.43 inference(unit_resolution,[status(thm)],[8389, 776, 8386])).
% 4.54/3.43 tff(8391,plain,
% 4.54/3.43 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s100, c_n1) | (~node2(s100)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s100, c_n1) | (~node2(s100)))),
% 4.54/3.43 inference(rewrite,[status(thm)],[])).
% 4.54/3.43 tff(8392,plain,
% 4.54/3.43 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s100, c_n1) | (~node2(s100)))),
% 4.54/3.43 inference(quant_inst,[status(thm)],[])).
% 4.54/3.43 tff(8393,plain,
% 4.54/3.43 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s100, c_n1) | (~node2(s100))),
% 4.54/3.43 inference(modus_ponens,[status(thm)],[8392, 8391])).
% 4.54/3.43 tff(8394,plain,
% 4.54/3.43 (~node2(s100)),
% 4.54/3.43 inference(unit_resolution,[status(thm)],[8393, 787, 8318])).
% 4.54/3.43 tff(8395,plain,
% 4.54/3.43 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s100, c_n1) | (~node3(s100)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s100, c_n1) | (~node3(s100)))),
% 4.54/3.43 inference(rewrite,[status(thm)],[])).
% 4.54/3.43 tff(8396,plain,
% 4.54/3.43 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s100, c_n1) | (~node3(s100)))),
% 4.54/3.43 inference(quant_inst,[status(thm)],[])).
% 4.54/3.43 tff(8397,plain,
% 4.54/3.43 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s100, c_n1) | (~node3(s100))),
% 4.54/3.43 inference(modus_ponens,[status(thm)],[8396, 8395])).
% 4.54/3.43 tff(8398,plain,
% 4.54/3.43 (~node3(s100)),
% 4.54/3.43 inference(unit_resolution,[status(thm)],[8397, 798, 8318])).
% 4.54/3.43 tff(8399,plain,
% 4.54/3.43 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s100, c_n2) | (~node4(s100)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s100, c_n2) | (~node4(s100)))),
% 4.54/3.43 inference(rewrite,[status(thm)],[])).
% 4.54/3.43 tff(8400,plain,
% 4.54/3.43 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s100, c_n2) | (~node4(s100)))),
% 4.54/3.43 inference(quant_inst,[status(thm)],[])).
% 4.54/3.43 tff(8401,plain,
% 4.54/3.43 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s100, c_n2) | (~node4(s100))),
% 4.54/3.43 inference(modus_ponens,[status(thm)],[8400, 8399])).
% 4.54/3.43 tff(8402,plain,
% 4.54/3.43 (~node4(s100)),
% 4.54/3.43 inference(unit_resolution,[status(thm)],[8401, 388, 8338])).
% 4.54/3.43 tff(8403,plain,
% 4.54/3.43 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s100, s101)) | node7(s100, s101))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s100, s101)) | node7(s100, s101))),
% 4.54/3.43 inference(rewrite,[status(thm)],[])).
% 4.54/3.43 tff(8404,plain,
% 4.54/3.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s100, s101)) | node7(s100, s101))),
% 4.54/3.43 inference(quant_inst,[status(thm)],[])).
% 4.54/3.43 tff(8405,plain,
% 4.54/3.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s100, s101)) | node7(s100, s101)),
% 4.54/3.43 inference(modus_ponens,[status(thm)],[8404, 8403])).
% 4.54/3.43 tff(8406,plain,
% 4.54/3.43 (node7(s100, s101)),
% 4.54/3.43 inference(unit_resolution,[status(thm)],[8405, 206, 8349])).
% 4.54/3.43 tff(8407,plain,
% 4.54/3.43 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s100, c_c1) | node1(s100) | node2(s100) | node3(s100) | node4(s100) | node5(s100) | node6(s100, s101) | (~node7(s100, s101)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s100, c_c1) | node1(s100) | node2(s100) | node3(s100) | node4(s100) | node5(s100) | node6(s100, s101) | (~node7(s100, s101)))),
% 4.54/3.43 inference(rewrite,[status(thm)],[])).
% 4.54/3.43 tff(8408,plain,
% 4.54/3.43 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s100, c_c1) | node1(s100) | node2(s100) | node3(s100) | node4(s100) | node5(s100) | node6(s100, s101) | (~node7(s100, s101)))),
% 4.54/3.43 inference(quant_inst,[status(thm)],[])).
% 4.54/3.43 tff(8409,plain,
% 4.54/3.43 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s100, c_c1) | node1(s100) | node2(s100) | node3(s100) | node4(s100) | node5(s100) | node6(s100, s101) | (~node7(s100, s101))),
% 4.54/3.43 inference(modus_ponens,[status(thm)],[8408, 8407])).
% 4.54/3.43 tff(8410,plain,
% 4.54/3.43 (m_main_v_state1(s100, c_c1) | node1(s100) | node2(s100) | node3(s100) | node4(s100) | node5(s100) | node6(s100, s101)),
% 4.54/3.43 inference(unit_resolution,[status(thm)],[8409, 820, 8406])).
% 4.54/3.43 tff(8411,plain,
% 4.54/3.43 (node6(s100, s101)),
% 4.54/3.43 inference(unit_resolution,[status(thm)],[8410, 8402, 8326, 8398, 8394, 8390, 8373])).
% 4.54/3.43 tff(8412,plain,
% 4.54/3.43 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s100, c_n1) | (~m_main_v_state1(s101, c_n1)) | (~node6(s100, s101)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s100, c_n1) | (~m_main_v_state1(s101, c_n1)) | (~node6(s100, s101)))),
% 4.54/3.43 inference(rewrite,[status(thm)],[])).
% 4.54/3.43 tff(8413,plain,
% 4.54/3.43 (((~node6(s100, s101)) | m_main_v_state1(s100, c_n1) | (~m_main_v_state1(s101, c_n1))) <=> (m_main_v_state1(s100, c_n1) | (~m_main_v_state1(s101, c_n1)) | (~node6(s100, s101)))),
% 4.54/3.43 inference(rewrite,[status(thm)],[])).
% 4.54/3.43 tff(8414,plain,
% 4.54/3.43 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s100, s101)) | m_main_v_state1(s100, c_n1) | (~m_main_v_state1(s101, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s100, c_n1) | (~m_main_v_state1(s101, c_n1)) | (~node6(s100, s101))))),
% 4.54/3.43 inference(monotonicity,[status(thm)],[8413])).
% 4.54/3.43 tff(8415,plain,
% 4.54/3.43 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s100, s101)) | m_main_v_state1(s100, c_n1) | (~m_main_v_state1(s101, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s100, c_n1) | (~m_main_v_state1(s101, c_n1)) | (~node6(s100, s101)))),
% 4.54/3.43 inference(transitivity,[status(thm)],[8414, 8412])).
% 4.54/3.43 tff(8416,plain,
% 4.54/3.43 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s100, s101)) | m_main_v_state1(s100, c_n1) | (~m_main_v_state1(s101, c_n1)))),
% 4.54/3.43 inference(quant_inst,[status(thm)],[])).
% 4.54/3.43 tff(8417,plain,
% 4.54/3.43 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s100, c_n1) | (~m_main_v_state1(s101, c_n1)) | (~node6(s100, s101))),
% 4.54/3.43 inference(modus_ponens,[status(thm)],[8416, 8415])).
% 4.54/3.43 tff(8418,plain,
% 4.54/3.43 (~m_main_v_state1(s101, c_n1)),
% 4.54/3.43 inference(unit_resolution,[status(thm)],[8417, 835, 8318, 8411])).
% 4.54/3.43 tff(8419,plain,
% 4.54/3.43 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s101, c_n1) | (~node2(s101)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s101, c_n1) | (~node2(s101)))),
% 4.54/3.43 inference(rewrite,[status(thm)],[])).
% 4.54/3.43 tff(8420,plain,
% 4.54/3.43 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s101, c_n1) | (~node2(s101)))),
% 4.54/3.43 inference(quant_inst,[status(thm)],[])).
% 4.54/3.43 tff(8421,plain,
% 4.54/3.43 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s101, c_n1) | (~node2(s101))),
% 4.54/3.43 inference(modus_ponens,[status(thm)],[8420, 8419])).
% 4.54/3.43 tff(8422,plain,
% 4.54/3.43 (~node2(s101)),
% 4.54/3.43 inference(unit_resolution,[status(thm)],[8421, 787, 8418])).
% 4.54/3.43 tff(8423,plain,
% 4.54/3.43 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s100, c_t1)) | m_main_v_state1(s101, c_t1) | (~node6(s100, s101)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s100, c_t1)) | m_main_v_state1(s101, c_t1) | (~node6(s100, s101)))),
% 4.54/3.43 inference(rewrite,[status(thm)],[])).
% 4.54/3.43 tff(8424,plain,
% 4.54/3.43 (((~node6(s100, s101)) | (~m_main_v_state1(s100, c_t1)) | m_main_v_state1(s101, c_t1)) <=> ((~m_main_v_state1(s100, c_t1)) | m_main_v_state1(s101, c_t1) | (~node6(s100, s101)))),
% 4.54/3.43 inference(rewrite,[status(thm)],[])).
% 4.54/3.43 tff(8425,plain,
% 4.54/3.43 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s100, s101)) | (~m_main_v_state1(s100, c_t1)) | m_main_v_state1(s101, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s100, c_t1)) | m_main_v_state1(s101, c_t1) | (~node6(s100, s101))))),
% 4.54/3.43 inference(monotonicity,[status(thm)],[8424])).
% 4.54/3.43 tff(8426,plain,
% 4.54/3.43 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s100, s101)) | (~m_main_v_state1(s100, c_t1)) | m_main_v_state1(s101, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s100, c_t1)) | m_main_v_state1(s101, c_t1) | (~node6(s100, s101)))),
% 4.54/3.43 inference(transitivity,[status(thm)],[8425, 8423])).
% 4.54/3.43 tff(8427,plain,
% 4.54/3.43 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s100, s101)) | (~m_main_v_state1(s100, c_t1)) | m_main_v_state1(s101, c_t1))),
% 4.54/3.43 inference(quant_inst,[status(thm)],[])).
% 4.54/3.43 tff(8428,plain,
% 4.54/3.43 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s100, c_t1)) | m_main_v_state1(s101, c_t1) | (~node6(s100, s101))),
% 4.54/3.43 inference(modus_ponens,[status(thm)],[8427, 8426])).
% 4.54/3.43 tff(8429,plain,
% 4.54/3.43 (m_main_v_state1(s101, c_t1)),
% 4.54/3.43 inference(unit_resolution,[status(thm)],[8428, 856, 8314, 8411])).
% 4.54/3.43 tff(8430,plain,
% 4.54/3.43 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s101, c_n2)) | (~m_main_v_state2(s101, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s101, c_n2)) | (~m_main_v_state2(s101, c_t2)))),
% 4.54/3.43 inference(rewrite,[status(thm)],[])).
% 4.54/3.43 tff(8431,plain,
% 4.54/3.43 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s101, c_n2)) | (~m_main_v_state2(s101, c_t2)))),
% 4.54/3.43 inference(quant_inst,[status(thm)],[])).
% 4.54/3.43 tff(8432,plain,
% 4.54/3.43 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s101, c_n2)) | (~m_main_v_state2(s101, c_t2))),
% 4.54/3.43 inference(modus_ponens,[status(thm)],[8431, 8430])).
% 4.54/3.43 tff(8433,plain,
% 4.54/3.43 (~m_main_v_state2(s101, c_t2)),
% 4.54/3.43 inference(unit_resolution,[status(thm)],[8432, 77, 8361])).
% 4.54/3.43 tff(8434,plain,
% 4.54/3.43 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s101, c_t2) | (~node1(s101)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s101, c_t2) | (~node1(s101)))),
% 4.54/3.43 inference(rewrite,[status(thm)],[])).
% 4.54/3.43 tff(8435,plain,
% 4.54/3.43 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s101, c_t2) | (~node1(s101)))),
% 4.54/3.43 inference(quant_inst,[status(thm)],[])).
% 4.54/3.43 tff(8436,plain,
% 4.54/3.43 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s101, c_t2) | (~node1(s101))),
% 4.54/3.43 inference(modus_ponens,[status(thm)],[8435, 8434])).
% 4.54/3.43 tff(8437,plain,
% 4.54/3.43 (~node1(s101)),
% 4.54/3.43 inference(unit_resolution,[status(thm)],[8436, 195, 8433])).
% 4.54/3.43 tff(8438,plain,
% 4.54/3.43 (succ(s101, s102) <=> succ(s101, s102)),
% 4.54/3.43 inference(rewrite,[status(thm)],[])).
% 4.54/3.43 tff(8439,axiom,(succ(s101, s102)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound102')).
% 4.54/3.43 tff(8440,plain,
% 4.54/3.43 (succ(s101, s102)),
% 4.54/3.43 inference(modus_ponens,[status(thm)],[8439, 8438])).
% 4.54/3.43 tff(8441,plain,
% 4.54/3.43 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s101, s102)) | trans(s101, s102))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s101, s102)) | trans(s101, s102))),
% 4.54/3.43 inference(rewrite,[status(thm)],[])).
% 4.54/3.43 tff(8442,plain,
% 4.54/3.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s101, s102)) | trans(s101, s102))),
% 4.54/3.43 inference(quant_inst,[status(thm)],[])).
% 4.54/3.43 tff(8443,plain,
% 4.54/3.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s101, s102)) | trans(s101, s102)),
% 4.54/3.43 inference(modus_ponens,[status(thm)],[8442, 8441])).
% 4.54/3.43 tff(8444,plain,
% 4.54/3.43 (trans(s101, s102)),
% 4.54/3.43 inference(unit_resolution,[status(thm)],[8443, 8440, 32])).
% 4.54/3.43 tff(8445,plain,
% 4.54/3.43 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s101, s102)) | node7(s101, s102))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s101, s102)) | node7(s101, s102))),
% 4.54/3.43 inference(rewrite,[status(thm)],[])).
% 4.54/3.43 tff(8446,plain,
% 4.54/3.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s101, s102)) | node7(s101, s102))),
% 4.54/3.43 inference(quant_inst,[status(thm)],[])).
% 4.54/3.43 tff(8447,plain,
% 4.54/3.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s101, s102)) | node7(s101, s102)),
% 4.54/3.43 inference(modus_ponens,[status(thm)],[8446, 8445])).
% 4.54/3.43 tff(8448,plain,
% 4.54/3.43 (node7(s101, s102)),
% 4.54/3.43 inference(unit_resolution,[status(thm)],[8447, 206, 8444])).
% 4.54/3.43 tff(8449,plain,
% 4.54/3.43 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s101, c_t1)) | (~m_main_v_state2(s101, c_n2)) | m_main_v_state1(s102, c_c1) | node1(s101) | node2(s101) | node3(s101) | (~node7(s101, s102)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s101, c_t1)) | (~m_main_v_state2(s101, c_n2)) | m_main_v_state1(s102, c_c1) | node1(s101) | node2(s101) | node3(s101) | (~node7(s101, s102)))),
% 4.54/3.43 inference(rewrite,[status(thm)],[])).
% 4.54/3.43 tff(8450,plain,
% 4.54/3.43 (((~m_main_v_state1(s101, c_t1)) | (~m_main_v_state2(s101, c_n2)) | node1(s101) | node2(s101) | node3(s101) | (~node7(s101, s102)) | m_main_v_state1(s102, c_c1)) <=> ((~m_main_v_state1(s101, c_t1)) | (~m_main_v_state2(s101, c_n2)) | m_main_v_state1(s102, c_c1) | node1(s101) | node2(s101) | node3(s101) | (~node7(s101, s102)))),
% 4.54/3.43 inference(rewrite,[status(thm)],[])).
% 4.54/3.43 tff(8451,plain,
% 4.54/3.43 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s101, c_t1)) | (~m_main_v_state2(s101, c_n2)) | node1(s101) | node2(s101) | node3(s101) | (~node7(s101, s102)) | m_main_v_state1(s102, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s101, c_t1)) | (~m_main_v_state2(s101, c_n2)) | m_main_v_state1(s102, c_c1) | node1(s101) | node2(s101) | node3(s101) | (~node7(s101, s102))))),
% 4.54/3.43 inference(monotonicity,[status(thm)],[8450])).
% 4.54/3.43 tff(8452,plain,
% 4.54/3.43 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s101, c_t1)) | (~m_main_v_state2(s101, c_n2)) | node1(s101) | node2(s101) | node3(s101) | (~node7(s101, s102)) | m_main_v_state1(s102, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s101, c_t1)) | (~m_main_v_state2(s101, c_n2)) | m_main_v_state1(s102, c_c1) | node1(s101) | node2(s101) | node3(s101) | (~node7(s101, s102)))),
% 4.54/3.43 inference(transitivity,[status(thm)],[8451, 8449])).
% 4.54/3.43 tff(8453,plain,
% 4.54/3.43 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s101, c_t1)) | (~m_main_v_state2(s101, c_n2)) | node1(s101) | node2(s101) | node3(s101) | (~node7(s101, s102)) | m_main_v_state1(s102, c_c1))),
% 4.54/3.43 inference(quant_inst,[status(thm)],[])).
% 4.54/3.43 tff(8454,plain,
% 4.54/3.43 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s101, c_t1)) | (~m_main_v_state2(s101, c_n2)) | m_main_v_state1(s102, c_c1) | node1(s101) | node2(s101) | node3(s101) | (~node7(s101, s102))),
% 4.54/3.43 inference(modus_ponens,[status(thm)],[8453, 8452])).
% 4.54/3.43 tff(8455,plain,
% 4.54/3.43 ((~m_main_v_state1(s101, c_t1)) | (~m_main_v_state2(s101, c_n2)) | m_main_v_state1(s102, c_c1) | node1(s101) | node2(s101) | node3(s101)),
% 4.54/3.43 inference(unit_resolution,[status(thm)],[8454, 892, 8448])).
% 4.54/3.43 tff(8456,plain,
% 4.54/3.43 (m_main_v_state1(s102, c_c1)),
% 4.54/3.43 inference(unit_resolution,[status(thm)],[8455, 8437, 8361, 8429, 8422, 8369])).
% 4.54/3.43 tff(8457,plain,
% 4.54/3.43 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s102, c_t1)) | (~m_main_v_state1(s102, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s102, c_t1)) | (~m_main_v_state1(s102, c_c1)))),
% 4.54/3.43 inference(rewrite,[status(thm)],[])).
% 4.54/3.43 tff(8458,plain,
% 4.54/3.43 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s102, c_t1)) | (~m_main_v_state1(s102, c_c1)))),
% 4.54/3.43 inference(quant_inst,[status(thm)],[])).
% 4.54/3.43 tff(8459,plain,
% 4.54/3.43 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s102, c_t1)) | (~m_main_v_state1(s102, c_c1))),
% 4.54/3.43 inference(modus_ponens,[status(thm)],[8458, 8457])).
% 4.54/3.43 tff(8460,plain,
% 4.54/3.43 (~m_main_v_state1(s102, c_t1)),
% 4.54/3.43 inference(unit_resolution,[status(thm)],[8459, 539, 8456])).
% 4.54/3.43 tff(8461,plain,
% 4.54/3.43 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s102, c_t1) | (~node5(s102)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s102, c_t1) | (~node5(s102)))),
% 4.54/3.43 inference(rewrite,[status(thm)],[])).
% 4.54/3.43 tff(8462,plain,
% 4.54/3.43 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s102, c_t1) | (~node5(s102)))),
% 4.54/3.43 inference(quant_inst,[status(thm)],[])).
% 4.54/3.43 tff(8463,plain,
% 4.54/3.43 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s102, c_t1) | (~node5(s102))),
% 4.54/3.43 inference(modus_ponens,[status(thm)],[8462, 8461])).
% 4.54/3.43 tff(8464,plain,
% 4.54/3.43 (~node5(s102)),
% 4.54/3.43 inference(unit_resolution,[status(thm)],[8463, 550, 8460])).
% 4.54/3.43 tff(8465,plain,
% 4.54/3.43 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s101, s102)) | node14(s101, s102))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s101, s102)) | node14(s101, s102))),
% 4.54/3.43 inference(rewrite,[status(thm)],[])).
% 4.54/3.43 tff(8466,plain,
% 4.54/3.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s101, s102)) | node14(s101, s102))),
% 4.54/3.43 inference(quant_inst,[status(thm)],[])).
% 4.54/3.43 tff(8467,plain,
% 4.54/3.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s101, s102)) | node14(s101, s102)),
% 4.54/3.43 inference(modus_ponens,[status(thm)],[8466, 8465])).
% 4.54/3.43 tff(8468,plain,
% 4.54/3.43 (node14(s101, s102)),
% 4.54/3.43 inference(unit_resolution,[status(thm)],[8467, 46, 8444])).
% 4.54/3.43 tff(8469,plain,
% 4.54/3.43 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s101, c_t1)) | (~m_main_v_state2(s101, c_n2)) | (~node14(s101, s102)) | m_main_v_state2(s102, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s101, c_t1)) | (~m_main_v_state2(s101, c_n2)) | (~node14(s101, s102)) | m_main_v_state2(s102, c_t2))),
% 4.54/3.43 inference(rewrite,[status(thm)],[])).
% 4.54/3.43 tff(8470,plain,
% 4.54/3.43 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s101, c_t1)) | (~m_main_v_state2(s101, c_n2)) | (~node14(s101, s102)) | m_main_v_state2(s102, c_t2))),
% 4.54/3.43 inference(quant_inst,[status(thm)],[])).
% 4.54/3.43 tff(8471,plain,
% 4.54/3.43 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s101, c_t1)) | (~m_main_v_state2(s101, c_n2)) | (~node14(s101, s102)) | m_main_v_state2(s102, c_t2)),
% 4.54/3.43 inference(modus_ponens,[status(thm)],[8470, 8469])).
% 4.54/3.43 tff(8472,plain,
% 4.54/3.43 ((~m_main_v_state1(s101, c_t1)) | (~m_main_v_state2(s101, c_n2)) | m_main_v_state2(s102, c_t2)),
% 4.54/3.43 inference(unit_resolution,[status(thm)],[8471, 922, 8468])).
% 4.54/3.43 tff(8473,plain,
% 4.54/3.43 (m_main_v_state2(s102, c_t2)),
% 4.54/3.43 inference(unit_resolution,[status(thm)],[8472, 8429, 8361])).
% 4.54/3.43 tff(8474,plain,
% 4.54/3.43 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s102, c_n2)) | (~m_main_v_state2(s102, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s102, c_n2)) | (~m_main_v_state2(s102, c_t2)))),
% 4.54/3.43 inference(rewrite,[status(thm)],[])).
% 4.54/3.43 tff(8475,plain,
% 4.54/3.43 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s102, c_n2)) | (~m_main_v_state2(s102, c_t2)))),
% 4.54/3.43 inference(quant_inst,[status(thm)],[])).
% 4.54/3.43 tff(8476,plain,
% 4.54/3.43 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s102, c_n2)) | (~m_main_v_state2(s102, c_t2))),
% 4.54/3.43 inference(modus_ponens,[status(thm)],[8475, 8474])).
% 4.54/3.43 tff(8477,plain,
% 4.54/3.43 (~m_main_v_state2(s102, c_n2)),
% 4.54/3.43 inference(unit_resolution,[status(thm)],[8476, 77, 8473])).
% 4.54/3.43 tff(8478,plain,
% 4.54/3.43 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s102, c_n2) | (~node4(s102)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s102, c_n2) | (~node4(s102)))),
% 4.54/3.43 inference(rewrite,[status(thm)],[])).
% 4.54/3.43 tff(8479,plain,
% 4.54/3.43 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s102, c_n2) | (~node4(s102)))),
% 4.54/3.43 inference(quant_inst,[status(thm)],[])).
% 4.54/3.43 tff(8480,plain,
% 4.54/3.43 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s102, c_n2) | (~node4(s102))),
% 4.54/3.43 inference(modus_ponens,[status(thm)],[8479, 8478])).
% 4.54/3.43 tff(8481,plain,
% 4.54/3.43 (~node4(s102)),
% 4.54/3.43 inference(unit_resolution,[status(thm)],[8480, 388, 8477])).
% 4.54/3.43 tff(8482,plain,
% 4.54/3.43 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s102, c_t2)) | (~m_main_v_state2(s102, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s102, c_t2)) | (~m_main_v_state2(s102, c_c2)))),
% 4.54/3.43 inference(rewrite,[status(thm)],[])).
% 4.54/3.43 tff(8483,plain,
% 4.54/3.43 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s102, c_t2)) | (~m_main_v_state2(s102, c_c2)))),
% 4.54/3.43 inference(quant_inst,[status(thm)],[])).
% 4.54/3.43 tff(8484,plain,
% 4.54/3.43 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s102, c_t2)) | (~m_main_v_state2(s102, c_c2))),
% 4.54/3.43 inference(modus_ponens,[status(thm)],[8483, 8482])).
% 4.54/3.43 tff(8485,plain,
% 4.54/3.43 (~m_main_v_state2(s102, c_c2)),
% 4.54/3.43 inference(unit_resolution,[status(thm)],[8484, 260, 8473])).
% 4.54/3.43 tff(8486,plain,
% 4.54/3.43 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s102, c_c2) | (~node3(s102)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s102, c_c2) | (~node3(s102)))),
% 4.54/3.43 inference(rewrite,[status(thm)],[])).
% 4.54/3.43 tff(8487,plain,
% 4.54/3.43 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s102, c_c2) | (~node3(s102)))),
% 4.54/3.43 inference(quant_inst,[status(thm)],[])).
% 4.54/3.43 tff(8488,plain,
% 4.54/3.43 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s102, c_c2) | (~node3(s102))),
% 4.54/3.43 inference(modus_ponens,[status(thm)],[8487, 8486])).
% 4.54/3.43 tff(8489,plain,
% 4.54/3.43 (~node3(s102)),
% 4.54/3.43 inference(unit_resolution,[status(thm)],[8488, 399, 8485])).
% 4.54/3.43 tff(8490,plain,
% 4.54/3.43 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s102, c_n2) | (~node2(s102)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s102, c_n2) | (~node2(s102)))),
% 4.54/3.44 inference(rewrite,[status(thm)],[])).
% 4.54/3.44 tff(8491,plain,
% 4.54/3.44 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s102, c_n2) | (~node2(s102)))),
% 4.54/3.44 inference(quant_inst,[status(thm)],[])).
% 4.54/3.44 tff(8492,plain,
% 4.54/3.44 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s102, c_n2) | (~node2(s102))),
% 4.54/3.44 inference(modus_ponens,[status(thm)],[8491, 8490])).
% 4.54/3.44 tff(8493,plain,
% 4.54/3.44 (~node2(s102)),
% 4.54/3.44 inference(unit_resolution,[status(thm)],[8492, 410, 8477])).
% 4.54/3.44 tff(8494,plain,
% 4.54/3.44 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s102, c_n1)) | (~m_main_v_state1(s102, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s102, c_n1)) | (~m_main_v_state1(s102, c_c1)))),
% 4.54/3.44 inference(rewrite,[status(thm)],[])).
% 4.54/3.44 tff(8495,plain,
% 4.54/3.44 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s102, c_n1)) | (~m_main_v_state1(s102, c_c1)))),
% 4.54/3.44 inference(quant_inst,[status(thm)],[])).
% 4.54/3.44 tff(8496,plain,
% 4.54/3.44 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s102, c_n1)) | (~m_main_v_state1(s102, c_c1))),
% 4.54/3.44 inference(modus_ponens,[status(thm)],[8495, 8494])).
% 4.54/3.44 tff(8497,plain,
% 4.54/3.44 (~m_main_v_state1(s102, c_n1)),
% 4.54/3.44 inference(unit_resolution,[status(thm)],[8496, 454, 8456])).
% 4.54/3.44 tff(8498,plain,
% 4.54/3.44 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s102, c_n1) | (~node1(s102)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s102, c_n1) | (~node1(s102)))),
% 4.54/3.44 inference(rewrite,[status(thm)],[])).
% 4.54/3.44 tff(8499,plain,
% 4.54/3.44 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s102, c_n1) | (~node1(s102)))),
% 4.54/3.44 inference(quant_inst,[status(thm)],[])).
% 4.54/3.44 tff(8500,plain,
% 4.54/3.44 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s102, c_n1) | (~node1(s102))),
% 4.54/3.44 inference(modus_ponens,[status(thm)],[8499, 8498])).
% 4.54/3.44 tff(8501,plain,
% 4.54/3.44 (~node1(s102)),
% 4.54/3.44 inference(unit_resolution,[status(thm)],[8500, 421, 8497])).
% 4.54/3.44 tff(8502,plain,
% 4.54/3.44 (succ(s102, s103) <=> succ(s102, s103)),
% 4.54/3.44 inference(rewrite,[status(thm)],[])).
% 4.54/3.44 tff(8503,axiom,(succ(s102, s103)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound103')).
% 4.54/3.44 tff(8504,plain,
% 4.54/3.44 (succ(s102, s103)),
% 4.54/3.44 inference(modus_ponens,[status(thm)],[8503, 8502])).
% 4.54/3.44 tff(8505,plain,
% 4.54/3.44 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s102, s103)) | trans(s102, s103))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s102, s103)) | trans(s102, s103))),
% 4.54/3.44 inference(rewrite,[status(thm)],[])).
% 4.54/3.44 tff(8506,plain,
% 4.54/3.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s102, s103)) | trans(s102, s103))),
% 4.54/3.44 inference(quant_inst,[status(thm)],[])).
% 4.54/3.44 tff(8507,plain,
% 4.54/3.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s102, s103)) | trans(s102, s103)),
% 4.54/3.44 inference(modus_ponens,[status(thm)],[8506, 8505])).
% 4.54/3.44 tff(8508,plain,
% 4.54/3.44 (trans(s102, s103)),
% 4.54/3.44 inference(unit_resolution,[status(thm)],[8507, 8504, 32])).
% 4.54/3.44 tff(8509,plain,
% 4.54/3.44 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s102, s103)) | node7(s102, s103))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s102, s103)) | node7(s102, s103))),
% 4.54/3.44 inference(rewrite,[status(thm)],[])).
% 4.54/3.44 tff(8510,plain,
% 4.54/3.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s102, s103)) | node7(s102, s103))),
% 4.54/3.44 inference(quant_inst,[status(thm)],[])).
% 4.54/3.44 tff(8511,plain,
% 4.54/3.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s102, s103)) | node7(s102, s103)),
% 4.54/3.44 inference(modus_ponens,[status(thm)],[8510, 8509])).
% 4.54/3.44 tff(8512,plain,
% 4.54/3.44 (node7(s102, s103)),
% 4.54/3.44 inference(unit_resolution,[status(thm)],[8511, 206, 8508])).
% 4.54/3.44 tff(8513,plain,
% 4.54/3.44 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s103, c_n1) | (~m_main_v_state1(s102, c_c1)) | node1(s102) | node2(s102) | node3(s102) | node4(s102) | node5(s102) | (~node7(s102, s103)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s103, c_n1) | (~m_main_v_state1(s102, c_c1)) | node1(s102) | node2(s102) | node3(s102) | node4(s102) | node5(s102) | (~node7(s102, s103)))),
% 4.54/3.44 inference(rewrite,[status(thm)],[])).
% 4.54/3.44 tff(8514,plain,
% 4.54/3.44 (((~m_main_v_state1(s102, c_c1)) | node1(s102) | node2(s102) | node3(s102) | node4(s102) | node5(s102) | (~node7(s102, s103)) | m_main_v_state1(s103, c_n1)) <=> (m_main_v_state1(s103, c_n1) | (~m_main_v_state1(s102, c_c1)) | node1(s102) | node2(s102) | node3(s102) | node4(s102) | node5(s102) | (~node7(s102, s103)))),
% 4.54/3.44 inference(rewrite,[status(thm)],[])).
% 4.54/3.44 tff(8515,plain,
% 4.54/3.44 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s102, c_c1)) | node1(s102) | node2(s102) | node3(s102) | node4(s102) | node5(s102) | (~node7(s102, s103)) | m_main_v_state1(s103, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s103, c_n1) | (~m_main_v_state1(s102, c_c1)) | node1(s102) | node2(s102) | node3(s102) | node4(s102) | node5(s102) | (~node7(s102, s103))))),
% 4.54/3.44 inference(monotonicity,[status(thm)],[8514])).
% 4.54/3.44 tff(8516,plain,
% 4.54/3.44 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s102, c_c1)) | node1(s102) | node2(s102) | node3(s102) | node4(s102) | node5(s102) | (~node7(s102, s103)) | m_main_v_state1(s103, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s103, c_n1) | (~m_main_v_state1(s102, c_c1)) | node1(s102) | node2(s102) | node3(s102) | node4(s102) | node5(s102) | (~node7(s102, s103)))),
% 4.54/3.44 inference(transitivity,[status(thm)],[8515, 8513])).
% 4.54/3.44 tff(8517,plain,
% 4.54/3.44 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s102, c_c1)) | node1(s102) | node2(s102) | node3(s102) | node4(s102) | node5(s102) | (~node7(s102, s103)) | m_main_v_state1(s103, c_n1))),
% 4.54/3.44 inference(quant_inst,[status(thm)],[])).
% 4.54/3.44 tff(8518,plain,
% 4.54/3.44 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s103, c_n1) | (~m_main_v_state1(s102, c_c1)) | node1(s102) | node2(s102) | node3(s102) | node4(s102) | node5(s102) | (~node7(s102, s103))),
% 4.54/3.44 inference(modus_ponens,[status(thm)],[8517, 8516])).
% 4.54/3.44 tff(8519,plain,
% 4.54/3.44 (m_main_v_state1(s103, c_n1) | (~m_main_v_state1(s102, c_c1)) | node1(s102) | node2(s102) | node3(s102) | node4(s102) | node5(s102)),
% 4.54/3.44 inference(unit_resolution,[status(thm)],[8518, 584, 8512])).
% 4.54/3.44 tff(8520,plain,
% 4.54/3.44 (m_main_v_state1(s103, c_n1)),
% 4.54/3.44 inference(unit_resolution,[status(thm)],[8519, 8501, 8456, 8493, 8489, 8481, 8464])).
% 4.54/3.44 tff(8521,plain,
% 4.54/3.44 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s101, c_t2) | (~node15(s101)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s101, c_t2) | (~node15(s101)))),
% 4.54/3.44 inference(rewrite,[status(thm)],[])).
% 4.54/3.44 tff(8522,plain,
% 4.54/3.44 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s101, c_t2) | (~node15(s101)))),
% 4.54/3.44 inference(quant_inst,[status(thm)],[])).
% 4.54/3.44 tff(8523,plain,
% 4.54/3.44 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s101, c_t2) | (~node15(s101))),
% 4.54/3.44 inference(modus_ponens,[status(thm)],[8522, 8521])).
% 4.54/3.44 tff(8524,plain,
% 4.54/3.44 (~node15(s101)),
% 4.54/3.44 inference(unit_resolution,[status(thm)],[8523, 103, 8433])).
% 4.54/3.44 tff(8525,plain,
% 4.54/3.44 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s101, s102)) | node18(s101, s102))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s101, s102)) | node18(s101, s102))),
% 4.54/3.44 inference(rewrite,[status(thm)],[])).
% 4.54/3.44 tff(8526,plain,
% 4.54/3.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s101, s102)) | node18(s101, s102))),
% 4.54/3.44 inference(quant_inst,[status(thm)],[])).
% 4.54/3.44 tff(8527,plain,
% 4.54/3.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s101, s102)) | node18(s101, s102)),
% 4.54/3.44 inference(modus_ponens,[status(thm)],[8526, 8525])).
% 4.54/3.44 tff(8528,plain,
% 4.54/3.44 (node18(s101, s102)),
% 4.54/3.44 inference(unit_resolution,[status(thm)],[8527, 125, 8444])).
% 4.54/3.44 tff(8529,plain,
% 4.54/3.44 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s101) | (~node18(s101, s102)) | (~m_main_v_state1(s101, c_t1)) | (~m_main_v_state2(s101, c_n2)) | m_main_v_turn(s102, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s101) | (~node18(s101, s102)) | (~m_main_v_state1(s101, c_t1)) | (~m_main_v_state2(s101, c_n2)) | m_main_v_turn(s102, c_1))),
% 4.54/3.44 inference(rewrite,[status(thm)],[])).
% 4.54/3.44 tff(8530,plain,
% 4.54/3.44 (((~m_main_v_state1(s101, c_t1)) | (~m_main_v_state2(s101, c_n2)) | node15(s101) | (~node18(s101, s102)) | m_main_v_turn(s102, c_1)) <=> (node15(s101) | (~node18(s101, s102)) | (~m_main_v_state1(s101, c_t1)) | (~m_main_v_state2(s101, c_n2)) | m_main_v_turn(s102, c_1))),
% 4.54/3.44 inference(rewrite,[status(thm)],[])).
% 4.54/3.44 tff(8531,plain,
% 4.54/3.44 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s101, c_t1)) | (~m_main_v_state2(s101, c_n2)) | node15(s101) | (~node18(s101, s102)) | m_main_v_turn(s102, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s101) | (~node18(s101, s102)) | (~m_main_v_state1(s101, c_t1)) | (~m_main_v_state2(s101, c_n2)) | m_main_v_turn(s102, c_1)))),
% 4.54/3.44 inference(monotonicity,[status(thm)],[8530])).
% 4.54/3.44 tff(8532,plain,
% 4.54/3.44 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s101, c_t1)) | (~m_main_v_state2(s101, c_n2)) | node15(s101) | (~node18(s101, s102)) | m_main_v_turn(s102, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s101) | (~node18(s101, s102)) | (~m_main_v_state1(s101, c_t1)) | (~m_main_v_state2(s101, c_n2)) | m_main_v_turn(s102, c_1))),
% 4.54/3.44 inference(transitivity,[status(thm)],[8531, 8529])).
% 4.54/3.44 tff(8533,plain,
% 4.54/3.44 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s101, c_t1)) | (~m_main_v_state2(s101, c_n2)) | node15(s101) | (~node18(s101, s102)) | m_main_v_turn(s102, c_1))),
% 4.54/3.44 inference(quant_inst,[status(thm)],[])).
% 4.54/3.44 tff(8534,plain,
% 4.54/3.44 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s101) | (~node18(s101, s102)) | (~m_main_v_state1(s101, c_t1)) | (~m_main_v_state2(s101, c_n2)) | m_main_v_turn(s102, c_1)),
% 4.54/3.44 inference(modus_ponens,[status(thm)],[8533, 8532])).
% 4.54/3.44 tff(8535,plain,
% 4.54/3.44 (node15(s101) | (~m_main_v_state1(s101, c_t1)) | (~m_main_v_state2(s101, c_n2)) | m_main_v_turn(s102, c_1)),
% 4.54/3.44 inference(unit_resolution,[status(thm)],[8534, 992, 8528])).
% 4.54/3.44 tff(8536,plain,
% 4.54/3.44 (m_main_v_turn(s102, c_1)),
% 4.54/3.44 inference(unit_resolution,[status(thm)],[8535, 8524, 8361, 8429])).
% 4.54/3.44 tff(8537,plain,
% 4.54/3.44 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s102, c_1)) | (~m_main_v_turn(s102, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s102, c_1)) | (~m_main_v_turn(s102, c_2)))),
% 4.54/3.44 inference(rewrite,[status(thm)],[])).
% 4.54/3.44 tff(8538,plain,
% 4.54/3.44 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s102, c_1)) | (~m_main_v_turn(s102, c_2)))),
% 4.54/3.44 inference(quant_inst,[status(thm)],[])).
% 4.54/3.44 tff(8539,plain,
% 4.54/3.44 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s102, c_1)) | (~m_main_v_turn(s102, c_2))),
% 4.54/3.44 inference(modus_ponens,[status(thm)],[8538, 8537])).
% 4.54/3.44 tff(8540,plain,
% 4.54/3.44 (~m_main_v_turn(s102, c_2)),
% 4.54/3.44 inference(unit_resolution,[status(thm)],[8539, 156, 8536])).
% 4.54/3.44 tff(8541,plain,
% 4.54/3.44 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s102, c_2) | (~node12(s102)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s102, c_2) | (~node12(s102)))),
% 4.54/3.44 inference(rewrite,[status(thm)],[])).
% 4.54/3.44 tff(8542,plain,
% 4.54/3.44 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s102, c_2) | (~node12(s102)))),
% 4.54/3.44 inference(quant_inst,[status(thm)],[])).
% 4.54/3.44 tff(8543,plain,
% 4.54/3.44 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s102, c_2) | (~node12(s102))),
% 4.54/3.44 inference(modus_ponens,[status(thm)],[8542, 8541])).
% 4.54/3.44 tff(8544,plain,
% 4.54/3.44 (~node12(s102)),
% 4.54/3.44 inference(unit_resolution,[status(thm)],[8543, 184, 8540])).
% 4.54/3.44 tff(8545,plain,
% 4.54/3.44 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s102, c_n2) | (~node8(s102)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s102, c_n2) | (~node8(s102)))),
% 4.54/3.44 inference(rewrite,[status(thm)],[])).
% 4.54/3.44 tff(8546,plain,
% 4.54/3.44 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s102, c_n2) | (~node8(s102)))),
% 4.54/3.44 inference(quant_inst,[status(thm)],[])).
% 4.54/3.44 tff(8547,plain,
% 4.54/3.44 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s102, c_n2) | (~node8(s102))),
% 4.54/3.44 inference(modus_ponens,[status(thm)],[8546, 8545])).
% 4.54/3.44 tff(8548,plain,
% 4.54/3.44 (~node8(s102)),
% 4.54/3.44 inference(unit_resolution,[status(thm)],[8547, 271, 8477])).
% 4.54/3.44 tff(8549,plain,
% 4.54/3.44 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s102, c_n2) | (~node9(s102)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s102, c_n2) | (~node9(s102)))),
% 4.54/3.44 inference(rewrite,[status(thm)],[])).
% 4.54/3.44 tff(8550,plain,
% 4.54/3.44 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s102, c_n2) | (~node9(s102)))),
% 4.54/3.44 inference(quant_inst,[status(thm)],[])).
% 4.54/3.44 tff(8551,plain,
% 4.54/3.44 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s102, c_n2) | (~node9(s102))),
% 4.54/3.44 inference(modus_ponens,[status(thm)],[8550, 8549])).
% 4.54/3.44 tff(8552,plain,
% 4.54/3.44 (~node9(s102)),
% 4.54/3.44 inference(unit_resolution,[status(thm)],[8551, 88, 8477])).
% 4.54/3.44 tff(8553,plain,
% 4.54/3.44 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s102, c_n2) | (~node10(s102)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s102, c_n2) | (~node10(s102)))),
% 4.54/3.44 inference(rewrite,[status(thm)],[])).
% 4.54/3.44 tff(8554,plain,
% 4.54/3.44 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s102, c_n2) | (~node10(s102)))),
% 4.54/3.44 inference(quant_inst,[status(thm)],[])).
% 4.54/3.44 tff(8555,plain,
% 4.54/3.44 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s102, c_n2) | (~node10(s102))),
% 4.54/3.44 inference(modus_ponens,[status(thm)],[8554, 8553])).
% 4.54/3.44 tff(8556,plain,
% 4.54/3.44 (~node10(s102)),
% 4.54/3.44 inference(unit_resolution,[status(thm)],[8555, 249, 8477])).
% 4.54/3.44 tff(8557,plain,
% 4.54/3.44 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s102, c_n1) | (~node11(s102)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s102, c_n1) | (~node11(s102)))),
% 4.54/3.44 inference(rewrite,[status(thm)],[])).
% 4.54/3.44 tff(8558,plain,
% 4.54/3.44 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s102, c_n1) | (~node11(s102)))),
% 4.54/3.44 inference(quant_inst,[status(thm)],[])).
% 4.54/3.44 tff(8559,plain,
% 4.54/3.44 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s102, c_n1) | (~node11(s102))),
% 4.54/3.44 inference(modus_ponens,[status(thm)],[8558, 8557])).
% 4.54/3.44 tff(8560,plain,
% 4.54/3.44 (~node11(s102)),
% 4.54/3.44 inference(unit_resolution,[status(thm)],[8559, 238, 8497])).
% 4.54/3.44 tff(8561,plain,
% 4.54/3.44 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s102, s103)) | node14(s102, s103))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s102, s103)) | node14(s102, s103))),
% 4.54/3.44 inference(rewrite,[status(thm)],[])).
% 4.54/3.44 tff(8562,plain,
% 4.54/3.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s102, s103)) | node14(s102, s103))),
% 4.54/3.44 inference(quant_inst,[status(thm)],[])).
% 4.54/3.44 tff(8563,plain,
% 4.54/3.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s102, s103)) | node14(s102, s103)),
% 4.54/3.44 inference(modus_ponens,[status(thm)],[8562, 8561])).
% 4.54/3.44 tff(8564,plain,
% 4.54/3.44 (node14(s102, s103)),
% 4.54/3.44 inference(unit_resolution,[status(thm)],[8563, 46, 8508])).
% 4.54/3.44 tff(8565,plain,
% 4.54/3.44 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s102, c_c2) | node9(s102) | node8(s102) | node10(s102) | node11(s102) | node12(s102) | node13(s102, s103) | (~node14(s102, s103)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s102, c_c2) | node9(s102) | node8(s102) | node10(s102) | node11(s102) | node12(s102) | node13(s102, s103) | (~node14(s102, s103)))),
% 4.54/3.44 inference(rewrite,[status(thm)],[])).
% 4.54/3.44 tff(8566,plain,
% 4.54/3.44 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s102, c_c2) | node9(s102) | node8(s102) | node10(s102) | node11(s102) | node12(s102) | node13(s102, s103) | (~node14(s102, s103)))),
% 4.54/3.44 inference(quant_inst,[status(thm)],[])).
% 4.54/3.44 tff(8567,plain,
% 4.54/3.44 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s102, c_c2) | node9(s102) | node8(s102) | node10(s102) | node11(s102) | node12(s102) | node13(s102, s103) | (~node14(s102, s103))),
% 4.54/3.44 inference(modus_ponens,[status(thm)],[8566, 8565])).
% 4.54/3.44 tff(8568,plain,
% 4.54/3.44 (m_main_v_state2(s102, c_c2) | node9(s102) | node8(s102) | node10(s102) | node11(s102) | node12(s102) | node13(s102, s103)),
% 4.54/3.44 inference(unit_resolution,[status(thm)],[8567, 296, 8564])).
% 4.54/3.44 tff(8569,plain,
% 4.54/3.44 (node13(s102, s103)),
% 4.54/3.44 inference(unit_resolution,[status(thm)],[8568, 8560, 8485, 8556, 8552, 8548, 8544])).
% 4.54/3.44 tff(8570,plain,
% 4.54/3.44 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s102, c_t2)) | m_main_v_state2(s103, c_t2) | (~node13(s102, s103)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s102, c_t2)) | m_main_v_state2(s103, c_t2) | (~node13(s102, s103)))),
% 4.54/3.44 inference(rewrite,[status(thm)],[])).
% 4.54/3.44 tff(8571,plain,
% 4.54/3.44 (((~node13(s102, s103)) | (~m_main_v_state2(s102, c_t2)) | m_main_v_state2(s103, c_t2)) <=> ((~m_main_v_state2(s102, c_t2)) | m_main_v_state2(s103, c_t2) | (~node13(s102, s103)))),
% 4.54/3.44 inference(rewrite,[status(thm)],[])).
% 4.54/3.44 tff(8572,plain,
% 4.54/3.44 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s102, s103)) | (~m_main_v_state2(s102, c_t2)) | m_main_v_state2(s103, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s102, c_t2)) | m_main_v_state2(s103, c_t2) | (~node13(s102, s103))))),
% 4.54/3.44 inference(monotonicity,[status(thm)],[8571])).
% 4.54/3.44 tff(8573,plain,
% 4.54/3.44 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s102, s103)) | (~m_main_v_state2(s102, c_t2)) | m_main_v_state2(s103, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s102, c_t2)) | m_main_v_state2(s103, c_t2) | (~node13(s102, s103)))),
% 4.54/3.44 inference(transitivity,[status(thm)],[8572, 8570])).
% 4.54/3.44 tff(8574,plain,
% 4.54/3.44 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s102, s103)) | (~m_main_v_state2(s102, c_t2)) | m_main_v_state2(s103, c_t2))),
% 4.54/3.44 inference(quant_inst,[status(thm)],[])).
% 4.54/3.44 tff(8575,plain,
% 4.54/3.44 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s102, c_t2)) | m_main_v_state2(s103, c_t2) | (~node13(s102, s103))),
% 4.54/3.44 inference(modus_ponens,[status(thm)],[8574, 8573])).
% 4.54/3.44 tff(8576,plain,
% 4.54/3.44 (m_main_v_state2(s103, c_t2)),
% 4.54/3.44 inference(unit_resolution,[status(thm)],[8575, 518, 8473, 8569])).
% 4.54/3.44 tff(8577,plain,
% 4.54/3.44 (succ(s103, s104) <=> succ(s103, s104)),
% 4.54/3.44 inference(rewrite,[status(thm)],[])).
% 4.54/3.44 tff(8578,axiom,(succ(s103, s104)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound104')).
% 4.54/3.44 tff(8579,plain,
% 4.54/3.44 (succ(s103, s104)),
% 4.54/3.44 inference(modus_ponens,[status(thm)],[8578, 8577])).
% 4.54/3.44 tff(8580,plain,
% 4.54/3.44 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s103, s104)) | trans(s103, s104))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s103, s104)) | trans(s103, s104))),
% 4.54/3.44 inference(rewrite,[status(thm)],[])).
% 4.54/3.44 tff(8581,plain,
% 4.54/3.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s103, s104)) | trans(s103, s104))),
% 4.54/3.44 inference(quant_inst,[status(thm)],[])).
% 4.54/3.44 tff(8582,plain,
% 4.54/3.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s103, s104)) | trans(s103, s104)),
% 4.54/3.44 inference(modus_ponens,[status(thm)],[8581, 8580])).
% 4.54/3.44 tff(8583,plain,
% 4.54/3.44 (trans(s103, s104)),
% 4.54/3.44 inference(unit_resolution,[status(thm)],[8582, 8579, 32])).
% 4.54/3.44 tff(8584,plain,
% 4.54/3.44 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s103, s104)) | node7(s103, s104))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s103, s104)) | node7(s103, s104))),
% 4.54/3.44 inference(rewrite,[status(thm)],[])).
% 4.54/3.44 tff(8585,plain,
% 4.54/3.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s103, s104)) | node7(s103, s104))),
% 4.54/3.44 inference(quant_inst,[status(thm)],[])).
% 4.54/3.44 tff(8586,plain,
% 4.54/3.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s103, s104)) | node7(s103, s104)),
% 4.54/3.44 inference(modus_ponens,[status(thm)],[8585, 8584])).
% 4.54/3.44 tff(8587,plain,
% 4.54/3.44 (node7(s103, s104)),
% 4.54/3.44 inference(unit_resolution,[status(thm)],[8586, 206, 8583])).
% 4.54/3.44 tff(8588,plain,
% 4.54/3.44 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s103, c_n1)) | (~m_main_v_state2(s103, c_t2)) | (~node7(s103, s104)) | m_main_v_state1(s104, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s103, c_n1)) | (~m_main_v_state2(s103, c_t2)) | (~node7(s103, s104)) | m_main_v_state1(s104, c_t1))),
% 4.54/3.44 inference(rewrite,[status(thm)],[])).
% 4.54/3.44 tff(8589,plain,
% 4.54/3.44 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s103, c_n1)) | (~m_main_v_state2(s103, c_t2)) | (~node7(s103, s104)) | m_main_v_state1(s104, c_t1))),
% 4.54/3.44 inference(quant_inst,[status(thm)],[])).
% 4.54/3.44 tff(8590,plain,
% 4.54/3.44 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s103, c_n1)) | (~m_main_v_state2(s103, c_t2)) | (~node7(s103, s104)) | m_main_v_state1(s104, c_t1)),
% 4.54/3.44 inference(modus_ponens,[status(thm)],[8589, 8588])).
% 4.54/3.44 tff(8591,plain,
% 4.54/3.44 ((~m_main_v_state1(s103, c_n1)) | (~m_main_v_state2(s103, c_t2)) | m_main_v_state1(s104, c_t1)),
% 4.54/3.44 inference(unit_resolution,[status(thm)],[8590, 651, 8587])).
% 4.54/3.44 tff(8592,plain,
% 4.54/3.44 (m_main_v_state1(s104, c_t1)),
% 4.54/3.44 inference(unit_resolution,[status(thm)],[8591, 8576, 8520])).
% 4.54/3.44 tff(8593,plain,
% 4.54/3.44 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s104, c_n1)) | (~m_main_v_state1(s104, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s104, c_n1)) | (~m_main_v_state1(s104, c_t1)))),
% 4.54/3.44 inference(rewrite,[status(thm)],[])).
% 4.54/3.44 tff(8594,plain,
% 4.54/3.44 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s104, c_n1)) | (~m_main_v_state1(s104, c_t1)))),
% 4.54/3.44 inference(quant_inst,[status(thm)],[])).
% 4.54/3.44 tff(8595,plain,
% 4.54/3.44 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s104, c_n1)) | (~m_main_v_state1(s104, c_t1))),
% 4.54/3.44 inference(modus_ponens,[status(thm)],[8594, 8593])).
% 4.54/3.44 tff(8596,plain,
% 4.54/3.44 (~m_main_v_state1(s104, c_n1)),
% 4.54/3.44 inference(unit_resolution,[status(thm)],[8595, 10, 8592])).
% 4.54/3.44 tff(8597,plain,
% 4.54/3.44 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s104, c_n1) | (~node1(s104)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s104, c_n1) | (~node1(s104)))),
% 4.54/3.44 inference(rewrite,[status(thm)],[])).
% 4.54/3.44 tff(8598,plain,
% 4.54/3.44 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s104, c_n1) | (~node1(s104)))),
% 4.54/3.44 inference(quant_inst,[status(thm)],[])).
% 4.54/3.44 tff(8599,plain,
% 4.54/3.44 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s104, c_n1) | (~node1(s104))),
% 4.54/3.44 inference(modus_ponens,[status(thm)],[8598, 8597])).
% 4.54/3.44 tff(8600,plain,
% 4.54/3.44 (~node1(s104)),
% 4.54/3.44 inference(unit_resolution,[status(thm)],[8599, 421, 8596])).
% 4.54/3.44 tff(8601,plain,
% 4.54/3.44 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s103, s104)) | node18(s103, s104))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s103, s104)) | node18(s103, s104))),
% 4.54/3.44 inference(rewrite,[status(thm)],[])).
% 4.54/3.44 tff(8602,plain,
% 4.54/3.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s103, s104)) | node18(s103, s104))),
% 4.54/3.44 inference(quant_inst,[status(thm)],[])).
% 4.54/3.44 tff(8603,plain,
% 4.54/3.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s103, s104)) | node18(s103, s104)),
% 4.54/3.44 inference(modus_ponens,[status(thm)],[8602, 8601])).
% 4.54/3.44 tff(8604,plain,
% 4.54/3.44 (node18(s103, s104)),
% 4.54/3.44 inference(unit_resolution,[status(thm)],[8603, 125, 8583])).
% 4.54/3.44 tff(8605,plain,
% 4.54/3.44 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s103, c_n1)) | (~m_main_v_state2(s103, c_t2)) | (~node18(s103, s104)) | m_main_v_turn(s104, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s103, c_n1)) | (~m_main_v_state2(s103, c_t2)) | (~node18(s103, s104)) | m_main_v_turn(s104, c_2))),
% 4.54/3.44 inference(rewrite,[status(thm)],[])).
% 4.54/3.44 tff(8606,plain,
% 4.54/3.44 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s103, c_n1)) | (~m_main_v_state2(s103, c_t2)) | (~node18(s103, s104)) | m_main_v_turn(s104, c_2))),
% 4.54/3.44 inference(quant_inst,[status(thm)],[])).
% 4.54/3.44 tff(8607,plain,
% 4.54/3.44 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s103, c_n1)) | (~m_main_v_state2(s103, c_t2)) | (~node18(s103, s104)) | m_main_v_turn(s104, c_2)),
% 4.54/3.44 inference(modus_ponens,[status(thm)],[8606, 8605])).
% 4.54/3.44 tff(8608,plain,
% 4.54/3.44 ((~m_main_v_state1(s103, c_n1)) | (~m_main_v_state2(s103, c_t2)) | m_main_v_turn(s104, c_2)),
% 4.54/3.44 inference(unit_resolution,[status(thm)],[8607, 760, 8604])).
% 4.54/3.44 tff(8609,plain,
% 4.54/3.44 (m_main_v_turn(s104, c_2)),
% 4.54/3.44 inference(unit_resolution,[status(thm)],[8608, 8576, 8520])).
% 4.54/3.44 tff(8610,plain,
% 4.54/3.44 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s104, c_1)) | (~m_main_v_turn(s104, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s104, c_1)) | (~m_main_v_turn(s104, c_2)))),
% 4.54/3.45 inference(rewrite,[status(thm)],[])).
% 4.54/3.45 tff(8611,plain,
% 4.54/3.45 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s104, c_1)) | (~m_main_v_turn(s104, c_2)))),
% 4.54/3.45 inference(quant_inst,[status(thm)],[])).
% 4.54/3.45 tff(8612,plain,
% 4.54/3.45 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s104, c_1)) | (~m_main_v_turn(s104, c_2))),
% 4.54/3.45 inference(modus_ponens,[status(thm)],[8611, 8610])).
% 4.54/3.45 tff(8613,plain,
% 4.54/3.45 (~m_main_v_turn(s104, c_1)),
% 4.54/3.45 inference(unit_resolution,[status(thm)],[8612, 156, 8609])).
% 4.54/3.45 tff(8614,plain,
% 4.54/3.45 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s104, c_1) | (~node5(s104)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s104, c_1) | (~node5(s104)))),
% 4.54/3.45 inference(rewrite,[status(thm)],[])).
% 4.54/3.45 tff(8615,plain,
% 4.54/3.45 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s104, c_1) | (~node5(s104)))),
% 4.54/3.45 inference(quant_inst,[status(thm)],[])).
% 4.54/3.45 tff(8616,plain,
% 4.54/3.45 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s104, c_1) | (~node5(s104))),
% 4.54/3.45 inference(modus_ponens,[status(thm)],[8615, 8614])).
% 4.54/3.45 tff(8617,plain,
% 4.54/3.45 (~node5(s104)),
% 4.54/3.45 inference(unit_resolution,[status(thm)],[8616, 776, 8613])).
% 4.54/3.45 tff(8618,plain,
% 4.54/3.45 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s104, c_n1) | (~node2(s104)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s104, c_n1) | (~node2(s104)))),
% 4.54/3.45 inference(rewrite,[status(thm)],[])).
% 4.54/3.45 tff(8619,plain,
% 4.54/3.45 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s104, c_n1) | (~node2(s104)))),
% 4.54/3.45 inference(quant_inst,[status(thm)],[])).
% 4.54/3.45 tff(8620,plain,
% 4.54/3.45 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s104, c_n1) | (~node2(s104))),
% 4.54/3.45 inference(modus_ponens,[status(thm)],[8619, 8618])).
% 4.54/3.45 tff(8621,plain,
% 4.54/3.45 (~node2(s104)),
% 4.54/3.45 inference(unit_resolution,[status(thm)],[8620, 787, 8596])).
% 4.54/3.45 tff(8622,plain,
% 4.54/3.45 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s104, c_n1) | (~node3(s104)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s104, c_n1) | (~node3(s104)))),
% 4.54/3.45 inference(rewrite,[status(thm)],[])).
% 4.54/3.45 tff(8623,plain,
% 4.54/3.45 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s104, c_n1) | (~node3(s104)))),
% 4.54/3.45 inference(quant_inst,[status(thm)],[])).
% 4.54/3.45 tff(8624,plain,
% 4.54/3.45 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s104, c_n1) | (~node3(s104))),
% 4.54/3.45 inference(modus_ponens,[status(thm)],[8623, 8622])).
% 4.54/3.45 tff(8625,plain,
% 4.54/3.45 (~node3(s104)),
% 4.54/3.45 inference(unit_resolution,[status(thm)],[8624, 798, 8596])).
% 4.54/3.45 tff(8626,plain,
% 4.54/3.45 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s104, c_t1)) | (~m_main_v_state1(s104, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s104, c_t1)) | (~m_main_v_state1(s104, c_c1)))),
% 4.54/3.45 inference(rewrite,[status(thm)],[])).
% 4.54/3.45 tff(8627,plain,
% 4.54/3.45 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s104, c_t1)) | (~m_main_v_state1(s104, c_c1)))),
% 4.54/3.45 inference(quant_inst,[status(thm)],[])).
% 4.54/3.45 tff(8628,plain,
% 4.54/3.45 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s104, c_t1)) | (~m_main_v_state1(s104, c_c1))),
% 4.54/3.45 inference(modus_ponens,[status(thm)],[8627, 8626])).
% 4.54/3.45 tff(8629,plain,
% 4.54/3.45 (~m_main_v_state1(s104, c_c1)),
% 4.54/3.45 inference(unit_resolution,[status(thm)],[8628, 539, 8592])).
% 4.54/3.45 tff(8630,plain,
% 4.54/3.45 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s102, c_n2) | (~m_main_v_state2(s103, c_n2)) | (~node13(s102, s103)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s102, c_n2) | (~m_main_v_state2(s103, c_n2)) | (~node13(s102, s103)))),
% 4.54/3.45 inference(rewrite,[status(thm)],[])).
% 4.54/3.45 tff(8631,plain,
% 4.54/3.45 (((~node13(s102, s103)) | m_main_v_state2(s102, c_n2) | (~m_main_v_state2(s103, c_n2))) <=> (m_main_v_state2(s102, c_n2) | (~m_main_v_state2(s103, c_n2)) | (~node13(s102, s103)))),
% 4.54/3.45 inference(rewrite,[status(thm)],[])).
% 4.54/3.45 tff(8632,plain,
% 4.54/3.45 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s102, s103)) | m_main_v_state2(s102, c_n2) | (~m_main_v_state2(s103, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s102, c_n2) | (~m_main_v_state2(s103, c_n2)) | (~node13(s102, s103))))),
% 4.54/3.45 inference(monotonicity,[status(thm)],[8631])).
% 4.54/3.45 tff(8633,plain,
% 4.54/3.45 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s102, s103)) | m_main_v_state2(s102, c_n2) | (~m_main_v_state2(s103, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s102, c_n2) | (~m_main_v_state2(s103, c_n2)) | (~node13(s102, s103)))),
% 4.54/3.45 inference(transitivity,[status(thm)],[8632, 8630])).
% 4.54/3.45 tff(8634,plain,
% 4.54/3.45 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s102, s103)) | m_main_v_state2(s102, c_n2) | (~m_main_v_state2(s103, c_n2)))),
% 4.54/3.45 inference(quant_inst,[status(thm)],[])).
% 4.54/3.45 tff(8635,plain,
% 4.54/3.45 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s102, c_n2) | (~m_main_v_state2(s103, c_n2)) | (~node13(s102, s103))),
% 4.54/3.45 inference(modus_ponens,[status(thm)],[8634, 8633])).
% 4.54/3.45 tff(8636,plain,
% 4.54/3.45 (~m_main_v_state2(s103, c_n2)),
% 4.54/3.45 inference(unit_resolution,[status(thm)],[8635, 311, 8477, 8569])).
% 4.54/3.45 tff(8637,plain,
% 4.54/3.45 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s103, c_n2) | (~node9(s103)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s103, c_n2) | (~node9(s103)))),
% 4.54/3.45 inference(rewrite,[status(thm)],[])).
% 4.54/3.45 tff(8638,plain,
% 4.54/3.45 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s103, c_n2) | (~node9(s103)))),
% 4.54/3.45 inference(quant_inst,[status(thm)],[])).
% 4.54/3.45 tff(8639,plain,
% 4.54/3.45 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s103, c_n2) | (~node9(s103))),
% 4.54/3.45 inference(modus_ponens,[status(thm)],[8638, 8637])).
% 4.54/3.45 tff(8640,plain,
% 4.54/3.45 (~node9(s103)),
% 4.54/3.45 inference(unit_resolution,[status(thm)],[8639, 88, 8636])).
% 4.54/3.45 tff(8641,plain,
% 4.54/3.45 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s103, c_n2) | (~node10(s103)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s103, c_n2) | (~node10(s103)))),
% 4.54/3.45 inference(rewrite,[status(thm)],[])).
% 4.54/3.45 tff(8642,plain,
% 4.54/3.45 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s103, c_n2) | (~node10(s103)))),
% 4.54/3.45 inference(quant_inst,[status(thm)],[])).
% 4.54/3.45 tff(8643,plain,
% 4.54/3.45 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s103, c_n2) | (~node10(s103))),
% 4.54/3.45 inference(modus_ponens,[status(thm)],[8642, 8641])).
% 4.54/3.45 tff(8644,plain,
% 4.54/3.45 (~node10(s103)),
% 4.54/3.45 inference(unit_resolution,[status(thm)],[8643, 249, 8636])).
% 4.54/3.45 tff(8645,plain,
% 4.54/3.45 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s103, c_n2) | (~node8(s103)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s103, c_n2) | (~node8(s103)))),
% 4.54/3.45 inference(rewrite,[status(thm)],[])).
% 4.54/3.45 tff(8646,plain,
% 4.54/3.45 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s103, c_n2) | (~node8(s103)))),
% 4.54/3.45 inference(quant_inst,[status(thm)],[])).
% 4.54/3.45 tff(8647,plain,
% 4.54/3.45 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s103, c_n2) | (~node8(s103))),
% 4.54/3.45 inference(modus_ponens,[status(thm)],[8646, 8645])).
% 4.54/3.45 tff(8648,plain,
% 4.54/3.45 (~node8(s103)),
% 4.54/3.45 inference(unit_resolution,[status(thm)],[8647, 271, 8636])).
% 4.54/3.45 tff(8649,plain,
% 4.54/3.45 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s103, s104)) | node14(s103, s104))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s103, s104)) | node14(s103, s104))),
% 4.54/3.45 inference(rewrite,[status(thm)],[])).
% 4.54/3.45 tff(8650,plain,
% 4.54/3.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s103, s104)) | node14(s103, s104))),
% 4.54/3.45 inference(quant_inst,[status(thm)],[])).
% 4.54/3.45 tff(8651,plain,
% 4.54/3.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s103, s104)) | node14(s103, s104)),
% 4.54/3.45 inference(modus_ponens,[status(thm)],[8650, 8649])).
% 4.54/3.45 tff(8652,plain,
% 4.54/3.45 (node14(s103, s104)),
% 4.54/3.45 inference(unit_resolution,[status(thm)],[8651, 46, 8583])).
% 4.54/3.45 tff(8653,plain,
% 4.54/3.45 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s103, c_n1)) | (~m_main_v_state2(s103, c_t2)) | node9(s103) | node8(s103) | node10(s103) | (~node14(s103, s104)) | m_main_v_state2(s104, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s103, c_n1)) | (~m_main_v_state2(s103, c_t2)) | node9(s103) | node8(s103) | node10(s103) | (~node14(s103, s104)) | m_main_v_state2(s104, c_c2))),
% 4.54/3.45 inference(rewrite,[status(thm)],[])).
% 4.54/3.45 tff(8654,plain,
% 4.54/3.45 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s103, c_n1)) | (~m_main_v_state2(s103, c_t2)) | node9(s103) | node8(s103) | node10(s103) | (~node14(s103, s104)) | m_main_v_state2(s104, c_c2))),
% 4.54/3.45 inference(quant_inst,[status(thm)],[])).
% 4.54/3.45 tff(8655,plain,
% 4.54/3.45 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s103, c_n1)) | (~m_main_v_state2(s103, c_t2)) | node9(s103) | node8(s103) | node10(s103) | (~node14(s103, s104)) | m_main_v_state2(s104, c_c2)),
% 4.54/3.45 inference(modus_ponens,[status(thm)],[8654, 8653])).
% 4.54/3.45 tff(8656,plain,
% 4.54/3.45 ((~m_main_v_state1(s103, c_n1)) | (~m_main_v_state2(s103, c_t2)) | node9(s103) | node8(s103) | node10(s103) | m_main_v_state2(s104, c_c2)),
% 4.54/3.45 inference(unit_resolution,[status(thm)],[8655, 617, 8652])).
% 4.54/3.45 tff(8657,plain,
% 4.54/3.45 (m_main_v_state2(s104, c_c2)),
% 4.54/3.45 inference(unit_resolution,[status(thm)],[8656, 8648, 8520, 8576, 8644, 8640])).
% 4.54/3.45 tff(8658,plain,
% 4.54/3.45 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s104, c_n2)) | (~m_main_v_state2(s104, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s104, c_n2)) | (~m_main_v_state2(s104, c_c2)))),
% 4.54/3.45 inference(rewrite,[status(thm)],[])).
% 4.54/3.45 tff(8659,plain,
% 4.54/3.45 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s104, c_n2)) | (~m_main_v_state2(s104, c_c2)))),
% 4.54/3.45 inference(quant_inst,[status(thm)],[])).
% 4.54/3.45 tff(8660,plain,
% 4.54/3.45 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s104, c_n2)) | (~m_main_v_state2(s104, c_c2))),
% 4.54/3.45 inference(modus_ponens,[status(thm)],[8659, 8658])).
% 4.54/3.45 tff(8661,plain,
% 4.54/3.45 (~m_main_v_state2(s104, c_n2)),
% 4.54/3.45 inference(unit_resolution,[status(thm)],[8660, 697, 8657])).
% 4.54/3.45 tff(8662,plain,
% 4.54/3.45 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s104, c_n2) | (~node4(s104)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s104, c_n2) | (~node4(s104)))),
% 4.54/3.45 inference(rewrite,[status(thm)],[])).
% 4.54/3.45 tff(8663,plain,
% 4.54/3.45 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s104, c_n2) | (~node4(s104)))),
% 4.54/3.45 inference(quant_inst,[status(thm)],[])).
% 4.54/3.45 tff(8664,plain,
% 4.54/3.45 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s104, c_n2) | (~node4(s104))),
% 4.54/3.45 inference(modus_ponens,[status(thm)],[8663, 8662])).
% 4.54/3.45 tff(8665,plain,
% 4.54/3.45 (~node4(s104)),
% 4.54/3.45 inference(unit_resolution,[status(thm)],[8664, 388, 8661])).
% 4.54/3.45 tff(8666,plain,
% 4.54/3.45 (succ(s104, s105) <=> succ(s104, s105)),
% 4.54/3.45 inference(rewrite,[status(thm)],[])).
% 4.54/3.45 tff(8667,axiom,(succ(s104, s105)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound105')).
% 4.54/3.45 tff(8668,plain,
% 4.54/3.45 (succ(s104, s105)),
% 4.54/3.45 inference(modus_ponens,[status(thm)],[8667, 8666])).
% 4.54/3.45 tff(8669,plain,
% 4.54/3.45 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s104, s105)) | trans(s104, s105))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s104, s105)) | trans(s104, s105))),
% 4.54/3.45 inference(rewrite,[status(thm)],[])).
% 4.54/3.45 tff(8670,plain,
% 4.54/3.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s104, s105)) | trans(s104, s105))),
% 4.54/3.45 inference(quant_inst,[status(thm)],[])).
% 4.54/3.45 tff(8671,plain,
% 4.54/3.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s104, s105)) | trans(s104, s105)),
% 4.54/3.45 inference(modus_ponens,[status(thm)],[8670, 8669])).
% 4.54/3.45 tff(8672,plain,
% 4.54/3.45 (trans(s104, s105)),
% 4.54/3.45 inference(unit_resolution,[status(thm)],[8671, 8668, 32])).
% 4.54/3.45 tff(8673,plain,
% 4.54/3.45 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s104, s105)) | node7(s104, s105))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s104, s105)) | node7(s104, s105))),
% 4.54/3.45 inference(rewrite,[status(thm)],[])).
% 4.54/3.45 tff(8674,plain,
% 4.54/3.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s104, s105)) | node7(s104, s105))),
% 4.54/3.45 inference(quant_inst,[status(thm)],[])).
% 4.54/3.45 tff(8675,plain,
% 4.54/3.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s104, s105)) | node7(s104, s105)),
% 4.54/3.45 inference(modus_ponens,[status(thm)],[8674, 8673])).
% 4.54/3.45 tff(8676,plain,
% 4.54/3.45 (node7(s104, s105)),
% 4.54/3.45 inference(unit_resolution,[status(thm)],[8675, 206, 8672])).
% 4.54/3.45 tff(8677,plain,
% 4.54/3.45 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s104, c_c1) | node1(s104) | node2(s104) | node3(s104) | node4(s104) | node5(s104) | node6(s104, s105) | (~node7(s104, s105)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s104, c_c1) | node1(s104) | node2(s104) | node3(s104) | node4(s104) | node5(s104) | node6(s104, s105) | (~node7(s104, s105)))),
% 4.54/3.45 inference(rewrite,[status(thm)],[])).
% 4.54/3.45 tff(8678,plain,
% 4.54/3.45 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s104, c_c1) | node1(s104) | node2(s104) | node3(s104) | node4(s104) | node5(s104) | node6(s104, s105) | (~node7(s104, s105)))),
% 4.54/3.45 inference(quant_inst,[status(thm)],[])).
% 4.54/3.45 tff(8679,plain,
% 4.54/3.45 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s104, c_c1) | node1(s104) | node2(s104) | node3(s104) | node4(s104) | node5(s104) | node6(s104, s105) | (~node7(s104, s105))),
% 4.54/3.45 inference(modus_ponens,[status(thm)],[8678, 8677])).
% 4.54/3.45 tff(8680,plain,
% 4.54/3.45 (m_main_v_state1(s104, c_c1) | node1(s104) | node2(s104) | node3(s104) | node4(s104) | node5(s104) | node6(s104, s105)),
% 4.54/3.45 inference(unit_resolution,[status(thm)],[8679, 820, 8676])).
% 4.54/3.45 tff(8681,plain,
% 4.54/3.45 (node6(s104, s105)),
% 4.54/3.45 inference(unit_resolution,[status(thm)],[8680, 8665, 8629, 8625, 8621, 8617, 8600])).
% 4.54/3.45 tff(8682,plain,
% 4.54/3.45 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s104, c_t1)) | m_main_v_state1(s105, c_t1) | (~node6(s104, s105)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s104, c_t1)) | m_main_v_state1(s105, c_t1) | (~node6(s104, s105)))),
% 4.54/3.45 inference(rewrite,[status(thm)],[])).
% 4.54/3.45 tff(8683,plain,
% 4.54/3.45 (((~node6(s104, s105)) | (~m_main_v_state1(s104, c_t1)) | m_main_v_state1(s105, c_t1)) <=> ((~m_main_v_state1(s104, c_t1)) | m_main_v_state1(s105, c_t1) | (~node6(s104, s105)))),
% 4.54/3.45 inference(rewrite,[status(thm)],[])).
% 4.54/3.45 tff(8684,plain,
% 4.54/3.45 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s104, s105)) | (~m_main_v_state1(s104, c_t1)) | m_main_v_state1(s105, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s104, c_t1)) | m_main_v_state1(s105, c_t1) | (~node6(s104, s105))))),
% 4.54/3.45 inference(monotonicity,[status(thm)],[8683])).
% 4.54/3.45 tff(8685,plain,
% 4.54/3.45 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s104, s105)) | (~m_main_v_state1(s104, c_t1)) | m_main_v_state1(s105, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s104, c_t1)) | m_main_v_state1(s105, c_t1) | (~node6(s104, s105)))),
% 4.54/3.45 inference(transitivity,[status(thm)],[8684, 8682])).
% 4.54/3.45 tff(8686,plain,
% 4.54/3.45 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s104, s105)) | (~m_main_v_state1(s104, c_t1)) | m_main_v_state1(s105, c_t1))),
% 4.54/3.45 inference(quant_inst,[status(thm)],[])).
% 4.54/3.45 tff(8687,plain,
% 4.54/3.45 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s104, c_t1)) | m_main_v_state1(s105, c_t1) | (~node6(s104, s105))),
% 4.54/3.45 inference(modus_ponens,[status(thm)],[8686, 8685])).
% 4.54/3.45 tff(8688,plain,
% 4.54/3.45 (m_main_v_state1(s105, c_t1)),
% 4.54/3.45 inference(unit_resolution,[status(thm)],[8687, 856, 8592, 8681])).
% 4.54/3.45 tff(8689,plain,
% 4.54/3.45 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s104, c_t2)) | (~m_main_v_state2(s104, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s104, c_t2)) | (~m_main_v_state2(s104, c_c2)))),
% 4.54/3.45 inference(rewrite,[status(thm)],[])).
% 4.54/3.45 tff(8690,plain,
% 4.54/3.45 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s104, c_t2)) | (~m_main_v_state2(s104, c_c2)))),
% 4.54/3.45 inference(quant_inst,[status(thm)],[])).
% 4.54/3.45 tff(8691,plain,
% 4.54/3.45 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s104, c_t2)) | (~m_main_v_state2(s104, c_c2))),
% 4.54/3.45 inference(modus_ponens,[status(thm)],[8690, 8689])).
% 4.54/3.45 tff(8692,plain,
% 4.54/3.45 (~m_main_v_state2(s104, c_t2)),
% 4.54/3.45 inference(unit_resolution,[status(thm)],[8691, 260, 8657])).
% 4.54/3.45 tff(8693,plain,
% 4.54/3.45 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s104, c_t2) | (~node12(s104)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s104, c_t2) | (~node12(s104)))),
% 4.54/3.45 inference(rewrite,[status(thm)],[])).
% 4.54/3.45 tff(8694,plain,
% 4.54/3.45 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s104, c_t2) | (~node12(s104)))),
% 4.54/3.45 inference(quant_inst,[status(thm)],[])).
% 4.54/3.45 tff(8695,plain,
% 4.54/3.45 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s104, c_t2) | (~node12(s104))),
% 4.54/3.45 inference(modus_ponens,[status(thm)],[8694, 8693])).
% 4.54/3.45 tff(8696,plain,
% 4.54/3.45 (~node12(s104)),
% 4.54/3.45 inference(unit_resolution,[status(thm)],[8695, 633, 8692])).
% 4.54/3.45 tff(8697,plain,
% 4.54/3.45 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s104, c_n1) | (~node11(s104)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s104, c_n1) | (~node11(s104)))),
% 4.54/3.45 inference(rewrite,[status(thm)],[])).
% 4.54/3.45 tff(8698,plain,
% 4.54/3.45 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s104, c_n1) | (~node11(s104)))),
% 4.54/3.45 inference(quant_inst,[status(thm)],[])).
% 4.54/3.45 tff(8699,plain,
% 4.54/3.45 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s104, c_n1) | (~node11(s104))),
% 4.54/3.45 inference(modus_ponens,[status(thm)],[8698, 8697])).
% 4.54/3.45 tff(8700,plain,
% 4.54/3.45 (~node11(s104)),
% 4.54/3.45 inference(unit_resolution,[status(thm)],[8699, 238, 8596])).
% 4.54/3.45 tff(8701,plain,
% 4.54/3.45 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s104, c_c1) | (~node10(s104)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s104, c_c1) | (~node10(s104)))),
% 4.54/3.45 inference(rewrite,[status(thm)],[])).
% 4.54/3.45 tff(8702,plain,
% 4.54/3.45 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s104, c_c1) | (~node10(s104)))),
% 4.54/3.45 inference(quant_inst,[status(thm)],[])).
% 4.54/3.45 tff(8703,plain,
% 4.54/3.45 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s104, c_c1) | (~node10(s104))),
% 4.54/3.45 inference(modus_ponens,[status(thm)],[8702, 8701])).
% 4.54/3.45 tff(8704,plain,
% 4.54/3.45 (~node10(s104)),
% 4.54/3.45 inference(unit_resolution,[status(thm)],[8703, 675, 8629])).
% 4.54/3.45 tff(8705,plain,
% 4.54/3.45 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s104, c_n1) | (~node9(s104)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s104, c_n1) | (~node9(s104)))),
% 4.54/3.45 inference(rewrite,[status(thm)],[])).
% 4.54/3.45 tff(8706,plain,
% 4.54/3.45 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s104, c_n1) | (~node9(s104)))),
% 4.54/3.45 inference(quant_inst,[status(thm)],[])).
% 4.54/3.45 tff(8707,plain,
% 4.54/3.45 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s104, c_n1) | (~node9(s104))),
% 4.54/3.45 inference(modus_ponens,[status(thm)],[8706, 8705])).
% 4.54/3.45 tff(8708,plain,
% 4.54/3.45 (~node9(s104)),
% 4.54/3.45 inference(unit_resolution,[status(thm)],[8707, 686, 8596])).
% 4.54/3.45 tff(8709,plain,
% 4.54/3.45 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s104, c_n2) | (~node8(s104)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s104, c_n2) | (~node8(s104)))),
% 4.54/3.45 inference(rewrite,[status(thm)],[])).
% 4.54/3.45 tff(8710,plain,
% 4.54/3.45 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s104, c_n2) | (~node8(s104)))),
% 4.54/3.45 inference(quant_inst,[status(thm)],[])).
% 4.54/3.45 tff(8711,plain,
% 4.54/3.45 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s104, c_n2) | (~node8(s104))),
% 4.54/3.45 inference(modus_ponens,[status(thm)],[8710, 8709])).
% 4.54/3.45 tff(8712,plain,
% 4.54/3.45 (~node8(s104)),
% 4.54/3.45 inference(unit_resolution,[status(thm)],[8711, 271, 8661])).
% 4.54/3.45 tff(8713,plain,
% 4.54/3.45 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s104, s105)) | node14(s104, s105))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s104, s105)) | node14(s104, s105))),
% 4.54/3.45 inference(rewrite,[status(thm)],[])).
% 4.54/3.45 tff(8714,plain,
% 4.54/3.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s104, s105)) | node14(s104, s105))),
% 4.54/3.45 inference(quant_inst,[status(thm)],[])).
% 4.54/3.45 tff(8715,plain,
% 4.54/3.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s104, s105)) | node14(s104, s105)),
% 4.54/3.45 inference(modus_ponens,[status(thm)],[8714, 8713])).
% 4.54/3.45 tff(8716,plain,
% 4.54/3.45 (node14(s104, s105)),
% 4.54/3.45 inference(unit_resolution,[status(thm)],[8715, 46, 8672])).
% 4.54/3.45 tff(8717,plain,
% 4.54/3.45 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s105, c_n2) | node9(s104) | node8(s104) | node10(s104) | node11(s104) | node12(s104) | (~node14(s104, s105)) | (~m_main_v_state2(s104, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s105, c_n2) | node9(s104) | node8(s104) | node10(s104) | node11(s104) | node12(s104) | (~node14(s104, s105)) | (~m_main_v_state2(s104, c_c2)))),
% 4.54/3.45 inference(rewrite,[status(thm)],[])).
% 4.54/3.45 tff(8718,plain,
% 4.54/3.45 (((~m_main_v_state2(s104, c_c2)) | node9(s104) | node8(s104) | node10(s104) | node11(s104) | node12(s104) | (~node14(s104, s105)) | m_main_v_state2(s105, c_n2)) <=> (m_main_v_state2(s105, c_n2) | node9(s104) | node8(s104) | node10(s104) | node11(s104) | node12(s104) | (~node14(s104, s105)) | (~m_main_v_state2(s104, c_c2)))),
% 4.54/3.45 inference(rewrite,[status(thm)],[])).
% 4.54/3.45 tff(8719,plain,
% 4.54/3.45 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s104, c_c2)) | node9(s104) | node8(s104) | node10(s104) | node11(s104) | node12(s104) | (~node14(s104, s105)) | m_main_v_state2(s105, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s105, c_n2) | node9(s104) | node8(s104) | node10(s104) | node11(s104) | node12(s104) | (~node14(s104, s105)) | (~m_main_v_state2(s104, c_c2))))),
% 4.54/3.45 inference(monotonicity,[status(thm)],[8718])).
% 4.54/3.45 tff(8720,plain,
% 4.54/3.45 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s104, c_c2)) | node9(s104) | node8(s104) | node10(s104) | node11(s104) | node12(s104) | (~node14(s104, s105)) | m_main_v_state2(s105, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s105, c_n2) | node9(s104) | node8(s104) | node10(s104) | node11(s104) | node12(s104) | (~node14(s104, s105)) | (~m_main_v_state2(s104, c_c2)))),
% 4.54/3.45 inference(transitivity,[status(thm)],[8719, 8717])).
% 4.54/3.45 tff(8721,plain,
% 4.54/3.45 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s104, c_c2)) | node9(s104) | node8(s104) | node10(s104) | node11(s104) | node12(s104) | (~node14(s104, s105)) | m_main_v_state2(s105, c_n2))),
% 4.54/3.45 inference(quant_inst,[status(thm)],[])).
% 4.54/3.45 tff(8722,plain,
% 4.54/3.45 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s105, c_n2) | node9(s104) | node8(s104) | node10(s104) | node11(s104) | node12(s104) | (~node14(s104, s105)) | (~m_main_v_state2(s104, c_c2))),
% 4.54/3.45 inference(modus_ponens,[status(thm)],[8721, 8720])).
% 4.54/3.45 tff(8723,plain,
% 4.54/3.45 (m_main_v_state2(s105, c_n2) | node9(s104) | node8(s104) | node10(s104) | node11(s104) | node12(s104) | (~m_main_v_state2(s104, c_c2))),
% 4.54/3.45 inference(unit_resolution,[status(thm)],[8722, 726, 8716])).
% 4.54/3.45 tff(8724,plain,
% 4.54/3.45 (m_main_v_state2(s105, c_n2)),
% 4.54/3.45 inference(unit_resolution,[status(thm)],[8723, 8712, 8657, 8708, 8704, 8700, 8696])).
% 4.54/3.45 tff(8725,plain,
% 4.54/3.45 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s105, c_n2)) | (~m_main_v_state2(s105, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s105, c_n2)) | (~m_main_v_state2(s105, c_t2)))),
% 4.54/3.45 inference(rewrite,[status(thm)],[])).
% 4.54/3.45 tff(8726,plain,
% 4.54/3.45 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s105, c_n2)) | (~m_main_v_state2(s105, c_t2)))),
% 4.54/3.45 inference(quant_inst,[status(thm)],[])).
% 4.54/3.45 tff(8727,plain,
% 4.54/3.45 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s105, c_n2)) | (~m_main_v_state2(s105, c_t2))),
% 4.54/3.45 inference(modus_ponens,[status(thm)],[8726, 8725])).
% 4.54/3.45 tff(8728,plain,
% 4.54/3.45 (~m_main_v_state2(s105, c_t2)),
% 4.54/3.45 inference(unit_resolution,[status(thm)],[8727, 77, 8724])).
% 4.54/3.45 tff(8729,plain,
% 4.54/3.45 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s105, c_t2) | (~node15(s105)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s105, c_t2) | (~node15(s105)))),
% 4.54/3.45 inference(rewrite,[status(thm)],[])).
% 4.54/3.45 tff(8730,plain,
% 4.54/3.45 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s105, c_t2) | (~node15(s105)))),
% 4.54/3.45 inference(quant_inst,[status(thm)],[])).
% 4.54/3.45 tff(8731,plain,
% 4.54/3.45 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s105, c_t2) | (~node15(s105))),
% 4.54/3.45 inference(modus_ponens,[status(thm)],[8730, 8729])).
% 4.54/3.45 tff(8732,plain,
% 4.54/3.45 (~node15(s105)),
% 4.54/3.45 inference(unit_resolution,[status(thm)],[8731, 103, 8728])).
% 4.54/3.46 tff(8733,plain,
% 4.54/3.46 (succ(s105, s106) <=> succ(s105, s106)),
% 4.54/3.46 inference(rewrite,[status(thm)],[])).
% 4.54/3.46 tff(8734,axiom,(succ(s105, s106)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound106')).
% 4.54/3.46 tff(8735,plain,
% 4.54/3.46 (succ(s105, s106)),
% 4.54/3.46 inference(modus_ponens,[status(thm)],[8734, 8733])).
% 4.54/3.46 tff(8736,plain,
% 4.54/3.46 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s105, s106)) | trans(s105, s106))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s105, s106)) | trans(s105, s106))),
% 4.54/3.46 inference(rewrite,[status(thm)],[])).
% 4.54/3.46 tff(8737,plain,
% 4.54/3.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s105, s106)) | trans(s105, s106))),
% 4.54/3.46 inference(quant_inst,[status(thm)],[])).
% 4.54/3.46 tff(8738,plain,
% 4.54/3.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s105, s106)) | trans(s105, s106)),
% 4.54/3.46 inference(modus_ponens,[status(thm)],[8737, 8736])).
% 4.54/3.46 tff(8739,plain,
% 4.54/3.46 (trans(s105, s106)),
% 4.54/3.46 inference(unit_resolution,[status(thm)],[8738, 8735, 32])).
% 4.54/3.46 tff(8740,plain,
% 4.54/3.46 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s105, s106)) | node18(s105, s106))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s105, s106)) | node18(s105, s106))),
% 4.54/3.46 inference(rewrite,[status(thm)],[])).
% 4.54/3.46 tff(8741,plain,
% 4.54/3.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s105, s106)) | node18(s105, s106))),
% 4.54/3.46 inference(quant_inst,[status(thm)],[])).
% 4.54/3.46 tff(8742,plain,
% 4.54/3.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s105, s106)) | node18(s105, s106)),
% 4.54/3.46 inference(modus_ponens,[status(thm)],[8741, 8740])).
% 4.54/3.46 tff(8743,plain,
% 4.54/3.46 (node18(s105, s106)),
% 4.54/3.46 inference(unit_resolution,[status(thm)],[8742, 125, 8739])).
% 4.54/3.46 tff(8744,plain,
% 4.54/3.46 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s105) | (~node18(s105, s106)) | (~m_main_v_state1(s105, c_t1)) | (~m_main_v_state2(s105, c_n2)) | m_main_v_turn(s106, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s105) | (~node18(s105, s106)) | (~m_main_v_state1(s105, c_t1)) | (~m_main_v_state2(s105, c_n2)) | m_main_v_turn(s106, c_1))),
% 4.54/3.46 inference(rewrite,[status(thm)],[])).
% 4.54/3.46 tff(8745,plain,
% 4.54/3.46 (((~m_main_v_state1(s105, c_t1)) | (~m_main_v_state2(s105, c_n2)) | node15(s105) | (~node18(s105, s106)) | m_main_v_turn(s106, c_1)) <=> (node15(s105) | (~node18(s105, s106)) | (~m_main_v_state1(s105, c_t1)) | (~m_main_v_state2(s105, c_n2)) | m_main_v_turn(s106, c_1))),
% 4.54/3.46 inference(rewrite,[status(thm)],[])).
% 4.54/3.46 tff(8746,plain,
% 4.54/3.46 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s105, c_t1)) | (~m_main_v_state2(s105, c_n2)) | node15(s105) | (~node18(s105, s106)) | m_main_v_turn(s106, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s105) | (~node18(s105, s106)) | (~m_main_v_state1(s105, c_t1)) | (~m_main_v_state2(s105, c_n2)) | m_main_v_turn(s106, c_1)))),
% 4.54/3.46 inference(monotonicity,[status(thm)],[8745])).
% 4.54/3.46 tff(8747,plain,
% 4.54/3.46 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s105, c_t1)) | (~m_main_v_state2(s105, c_n2)) | node15(s105) | (~node18(s105, s106)) | m_main_v_turn(s106, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s105) | (~node18(s105, s106)) | (~m_main_v_state1(s105, c_t1)) | (~m_main_v_state2(s105, c_n2)) | m_main_v_turn(s106, c_1))),
% 4.54/3.46 inference(transitivity,[status(thm)],[8746, 8744])).
% 4.54/3.46 tff(8748,plain,
% 4.54/3.46 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s105, c_t1)) | (~m_main_v_state2(s105, c_n2)) | node15(s105) | (~node18(s105, s106)) | m_main_v_turn(s106, c_1))),
% 4.54/3.46 inference(quant_inst,[status(thm)],[])).
% 4.54/3.46 tff(8749,plain,
% 4.54/3.46 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s105) | (~node18(s105, s106)) | (~m_main_v_state1(s105, c_t1)) | (~m_main_v_state2(s105, c_n2)) | m_main_v_turn(s106, c_1)),
% 4.54/3.46 inference(modus_ponens,[status(thm)],[8748, 8747])).
% 4.54/3.46 tff(8750,plain,
% 4.54/3.46 (node15(s105) | (~m_main_v_state1(s105, c_t1)) | (~m_main_v_state2(s105, c_n2)) | m_main_v_turn(s106, c_1)),
% 4.54/3.46 inference(unit_resolution,[status(thm)],[8749, 992, 8743])).
% 4.54/3.46 tff(8751,plain,
% 4.54/3.46 (m_main_v_turn(s106, c_1)),
% 4.54/3.46 inference(unit_resolution,[status(thm)],[8750, 8732, 8724, 8688])).
% 4.54/3.46 tff(8752,plain,
% 4.54/3.46 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s106, c_1)) | (~m_main_v_turn(s106, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s106, c_1)) | (~m_main_v_turn(s106, c_2)))),
% 4.54/3.46 inference(rewrite,[status(thm)],[])).
% 4.54/3.46 tff(8753,plain,
% 4.54/3.46 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s106, c_1)) | (~m_main_v_turn(s106, c_2)))),
% 4.54/3.46 inference(quant_inst,[status(thm)],[])).
% 4.54/3.46 tff(8754,plain,
% 4.54/3.46 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s106, c_1)) | (~m_main_v_turn(s106, c_2))),
% 4.54/3.46 inference(modus_ponens,[status(thm)],[8753, 8752])).
% 4.54/3.46 tff(8755,plain,
% 4.54/3.46 (~m_main_v_turn(s106, c_2)),
% 4.54/3.46 inference(unit_resolution,[status(thm)],[8754, 156, 8751])).
% 4.54/3.46 tff(8756,plain,
% 4.54/3.46 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s106, c_2) | (~node12(s106)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s106, c_2) | (~node12(s106)))),
% 4.54/3.46 inference(rewrite,[status(thm)],[])).
% 4.54/3.46 tff(8757,plain,
% 4.54/3.46 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s106, c_2) | (~node12(s106)))),
% 4.54/3.46 inference(quant_inst,[status(thm)],[])).
% 4.54/3.46 tff(8758,plain,
% 4.54/3.46 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s106, c_2) | (~node12(s106))),
% 4.54/3.46 inference(modus_ponens,[status(thm)],[8757, 8756])).
% 4.54/3.46 tff(8759,plain,
% 4.54/3.46 (~node12(s106)),
% 4.54/3.46 inference(unit_resolution,[status(thm)],[8758, 184, 8755])).
% 4.54/3.46 tff(8760,plain,
% 4.54/3.46 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s105, s106)) | node14(s105, s106))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s105, s106)) | node14(s105, s106))),
% 4.54/3.46 inference(rewrite,[status(thm)],[])).
% 4.54/3.46 tff(8761,plain,
% 4.54/3.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s105, s106)) | node14(s105, s106))),
% 4.54/3.46 inference(quant_inst,[status(thm)],[])).
% 4.54/3.46 tff(8762,plain,
% 4.54/3.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s105, s106)) | node14(s105, s106)),
% 4.54/3.46 inference(modus_ponens,[status(thm)],[8761, 8760])).
% 4.54/3.46 tff(8763,plain,
% 4.54/3.46 (node14(s105, s106)),
% 4.54/3.46 inference(unit_resolution,[status(thm)],[8762, 46, 8739])).
% 4.54/3.46 tff(8764,plain,
% 4.54/3.46 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s105, c_t1)) | (~m_main_v_state2(s105, c_n2)) | (~node14(s105, s106)) | m_main_v_state2(s106, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s105, c_t1)) | (~m_main_v_state2(s105, c_n2)) | (~node14(s105, s106)) | m_main_v_state2(s106, c_t2))),
% 4.54/3.46 inference(rewrite,[status(thm)],[])).
% 4.54/3.46 tff(8765,plain,
% 4.54/3.46 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s105, c_t1)) | (~m_main_v_state2(s105, c_n2)) | (~node14(s105, s106)) | m_main_v_state2(s106, c_t2))),
% 4.54/3.46 inference(quant_inst,[status(thm)],[])).
% 4.54/3.46 tff(8766,plain,
% 4.54/3.46 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s105, c_t1)) | (~m_main_v_state2(s105, c_n2)) | (~node14(s105, s106)) | m_main_v_state2(s106, c_t2)),
% 4.62/3.46 inference(modus_ponens,[status(thm)],[8765, 8764])).
% 4.62/3.46 tff(8767,plain,
% 4.62/3.46 ((~m_main_v_state1(s105, c_t1)) | (~m_main_v_state2(s105, c_n2)) | m_main_v_state2(s106, c_t2)),
% 4.62/3.46 inference(unit_resolution,[status(thm)],[8766, 922, 8763])).
% 4.62/3.46 tff(8768,plain,
% 4.62/3.46 (m_main_v_state2(s106, c_t2)),
% 4.62/3.46 inference(unit_resolution,[status(thm)],[8767, 8688, 8724])).
% 4.62/3.46 tff(8769,plain,
% 4.62/3.46 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s106, c_n2)) | (~m_main_v_state2(s106, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s106, c_n2)) | (~m_main_v_state2(s106, c_t2)))),
% 4.62/3.46 inference(rewrite,[status(thm)],[])).
% 4.62/3.46 tff(8770,plain,
% 4.62/3.46 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s106, c_n2)) | (~m_main_v_state2(s106, c_t2)))),
% 4.62/3.46 inference(quant_inst,[status(thm)],[])).
% 4.62/3.46 tff(8771,plain,
% 4.62/3.46 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s106, c_n2)) | (~m_main_v_state2(s106, c_t2))),
% 4.62/3.46 inference(modus_ponens,[status(thm)],[8770, 8769])).
% 4.62/3.46 tff(8772,plain,
% 4.62/3.46 (~m_main_v_state2(s106, c_n2)),
% 4.62/3.46 inference(unit_resolution,[status(thm)],[8771, 77, 8768])).
% 4.62/3.46 tff(8773,plain,
% 4.62/3.46 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s106, c_n2) | (~node8(s106)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s106, c_n2) | (~node8(s106)))),
% 4.62/3.46 inference(rewrite,[status(thm)],[])).
% 4.62/3.46 tff(8774,plain,
% 4.62/3.46 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s106, c_n2) | (~node8(s106)))),
% 4.62/3.46 inference(quant_inst,[status(thm)],[])).
% 4.62/3.46 tff(8775,plain,
% 4.62/3.46 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s106, c_n2) | (~node8(s106))),
% 4.62/3.46 inference(modus_ponens,[status(thm)],[8774, 8773])).
% 4.62/3.46 tff(8776,plain,
% 4.62/3.46 (~node8(s106)),
% 4.62/3.46 inference(unit_resolution,[status(thm)],[8775, 271, 8772])).
% 4.62/3.46 tff(8777,plain,
% 4.62/3.46 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s106, c_n2) | (~node9(s106)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s106, c_n2) | (~node9(s106)))),
% 4.62/3.46 inference(rewrite,[status(thm)],[])).
% 4.62/3.46 tff(8778,plain,
% 4.62/3.46 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s106, c_n2) | (~node9(s106)))),
% 4.62/3.46 inference(quant_inst,[status(thm)],[])).
% 4.62/3.46 tff(8779,plain,
% 4.62/3.46 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s106, c_n2) | (~node9(s106))),
% 4.62/3.46 inference(modus_ponens,[status(thm)],[8778, 8777])).
% 4.62/3.46 tff(8780,plain,
% 4.62/3.46 (~node9(s106)),
% 4.62/3.46 inference(unit_resolution,[status(thm)],[8779, 88, 8772])).
% 4.62/3.46 tff(8781,plain,
% 4.62/3.46 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s106, c_n2) | (~node10(s106)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s106, c_n2) | (~node10(s106)))),
% 4.62/3.46 inference(rewrite,[status(thm)],[])).
% 4.62/3.46 tff(8782,plain,
% 4.62/3.46 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s106, c_n2) | (~node10(s106)))),
% 4.62/3.46 inference(quant_inst,[status(thm)],[])).
% 4.62/3.46 tff(8783,plain,
% 4.62/3.46 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s106, c_n2) | (~node10(s106))),
% 4.62/3.46 inference(modus_ponens,[status(thm)],[8782, 8781])).
% 4.62/3.46 tff(8784,plain,
% 4.62/3.46 (~node10(s106)),
% 4.62/3.46 inference(unit_resolution,[status(thm)],[8783, 249, 8772])).
% 4.62/3.46 tff(8785,plain,
% 4.62/3.46 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s106, c_t2)) | (~m_main_v_state2(s106, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s106, c_t2)) | (~m_main_v_state2(s106, c_c2)))),
% 4.62/3.46 inference(rewrite,[status(thm)],[])).
% 4.62/3.46 tff(8786,plain,
% 4.62/3.46 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s106, c_t2)) | (~m_main_v_state2(s106, c_c2)))),
% 4.62/3.46 inference(quant_inst,[status(thm)],[])).
% 4.62/3.46 tff(8787,plain,
% 4.62/3.46 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s106, c_t2)) | (~m_main_v_state2(s106, c_c2))),
% 4.62/3.46 inference(modus_ponens,[status(thm)],[8786, 8785])).
% 4.62/3.46 tff(8788,plain,
% 4.62/3.46 (~m_main_v_state2(s106, c_c2)),
% 4.62/3.46 inference(unit_resolution,[status(thm)],[8787, 260, 8768])).
% 4.62/3.46 tff(8789,plain,
% 4.62/3.46 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s105, c_n2)) | (~m_main_v_state2(s105, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s105, c_n2)) | (~m_main_v_state2(s105, c_c2)))),
% 4.62/3.46 inference(rewrite,[status(thm)],[])).
% 4.62/3.46 tff(8790,plain,
% 4.62/3.46 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s105, c_n2)) | (~m_main_v_state2(s105, c_c2)))),
% 4.62/3.46 inference(quant_inst,[status(thm)],[])).
% 4.62/3.46 tff(8791,plain,
% 4.62/3.46 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s105, c_n2)) | (~m_main_v_state2(s105, c_c2))),
% 4.62/3.46 inference(modus_ponens,[status(thm)],[8790, 8789])).
% 4.62/3.46 tff(8792,plain,
% 4.62/3.46 (~m_main_v_state2(s105, c_c2)),
% 4.62/3.46 inference(unit_resolution,[status(thm)],[8791, 697, 8724])).
% 4.62/3.46 tff(8793,plain,
% 4.62/3.46 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s105, c_c2) | (~node3(s105)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s105, c_c2) | (~node3(s105)))),
% 4.62/3.46 inference(rewrite,[status(thm)],[])).
% 4.62/3.46 tff(8794,plain,
% 4.62/3.46 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s105, c_c2) | (~node3(s105)))),
% 4.62/3.46 inference(quant_inst,[status(thm)],[])).
% 4.62/3.46 tff(8795,plain,
% 4.62/3.46 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s105, c_c2) | (~node3(s105))),
% 4.62/3.46 inference(modus_ponens,[status(thm)],[8794, 8793])).
% 4.62/3.46 tff(8796,plain,
% 4.62/3.46 (~node3(s105)),
% 4.62/3.46 inference(unit_resolution,[status(thm)],[8795, 399, 8792])).
% 4.62/3.46 tff(8797,plain,
% 4.62/3.46 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s104, c_n1) | (~m_main_v_state1(s105, c_n1)) | (~node6(s104, s105)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s104, c_n1) | (~m_main_v_state1(s105, c_n1)) | (~node6(s104, s105)))),
% 4.62/3.46 inference(rewrite,[status(thm)],[])).
% 4.62/3.46 tff(8798,plain,
% 4.62/3.46 (((~node6(s104, s105)) | m_main_v_state1(s104, c_n1) | (~m_main_v_state1(s105, c_n1))) <=> (m_main_v_state1(s104, c_n1) | (~m_main_v_state1(s105, c_n1)) | (~node6(s104, s105)))),
% 4.62/3.46 inference(rewrite,[status(thm)],[])).
% 4.62/3.46 tff(8799,plain,
% 4.62/3.46 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s104, s105)) | m_main_v_state1(s104, c_n1) | (~m_main_v_state1(s105, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s104, c_n1) | (~m_main_v_state1(s105, c_n1)) | (~node6(s104, s105))))),
% 4.62/3.46 inference(monotonicity,[status(thm)],[8798])).
% 4.62/3.46 tff(8800,plain,
% 4.62/3.46 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s104, s105)) | m_main_v_state1(s104, c_n1) | (~m_main_v_state1(s105, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s104, c_n1) | (~m_main_v_state1(s105, c_n1)) | (~node6(s104, s105)))),
% 4.62/3.46 inference(transitivity,[status(thm)],[8799, 8797])).
% 4.62/3.46 tff(8801,plain,
% 4.62/3.46 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s104, s105)) | m_main_v_state1(s104, c_n1) | (~m_main_v_state1(s105, c_n1)))),
% 4.62/3.46 inference(quant_inst,[status(thm)],[])).
% 4.62/3.46 tff(8802,plain,
% 4.62/3.46 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s104, c_n1) | (~m_main_v_state1(s105, c_n1)) | (~node6(s104, s105))),
% 4.62/3.46 inference(modus_ponens,[status(thm)],[8801, 8800])).
% 4.62/3.46 tff(8803,plain,
% 4.62/3.46 (~m_main_v_state1(s105, c_n1)),
% 4.62/3.46 inference(unit_resolution,[status(thm)],[8802, 835, 8596, 8681])).
% 4.62/3.46 tff(8804,plain,
% 4.62/3.46 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s105, c_n1) | (~node2(s105)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s105, c_n1) | (~node2(s105)))),
% 4.62/3.46 inference(rewrite,[status(thm)],[])).
% 4.62/3.46 tff(8805,plain,
% 4.62/3.46 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s105, c_n1) | (~node2(s105)))),
% 4.62/3.46 inference(quant_inst,[status(thm)],[])).
% 4.62/3.46 tff(8806,plain,
% 4.62/3.46 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s105, c_n1) | (~node2(s105))),
% 4.62/3.46 inference(modus_ponens,[status(thm)],[8805, 8804])).
% 4.62/3.46 tff(8807,plain,
% 4.62/3.46 (~node2(s105)),
% 4.62/3.46 inference(unit_resolution,[status(thm)],[8806, 787, 8803])).
% 4.62/3.46 tff(8808,plain,
% 4.62/3.46 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s105, c_t2) | (~node1(s105)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s105, c_t2) | (~node1(s105)))),
% 4.62/3.46 inference(rewrite,[status(thm)],[])).
% 4.62/3.46 tff(8809,plain,
% 4.62/3.46 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s105, c_t2) | (~node1(s105)))),
% 4.62/3.46 inference(quant_inst,[status(thm)],[])).
% 4.62/3.46 tff(8810,plain,
% 4.62/3.46 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s105, c_t2) | (~node1(s105))),
% 4.62/3.46 inference(modus_ponens,[status(thm)],[8809, 8808])).
% 4.62/3.46 tff(8811,plain,
% 4.62/3.46 (~node1(s105)),
% 4.62/3.46 inference(unit_resolution,[status(thm)],[8810, 195, 8728])).
% 4.62/3.46 tff(8812,plain,
% 4.62/3.46 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s105, s106)) | node7(s105, s106))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s105, s106)) | node7(s105, s106))),
% 4.62/3.46 inference(rewrite,[status(thm)],[])).
% 4.62/3.46 tff(8813,plain,
% 4.62/3.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s105, s106)) | node7(s105, s106))),
% 4.62/3.46 inference(quant_inst,[status(thm)],[])).
% 4.62/3.46 tff(8814,plain,
% 4.62/3.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s105, s106)) | node7(s105, s106)),
% 4.62/3.46 inference(modus_ponens,[status(thm)],[8813, 8812])).
% 4.62/3.46 tff(8815,plain,
% 4.62/3.46 (node7(s105, s106)),
% 4.62/3.46 inference(unit_resolution,[status(thm)],[8814, 206, 8739])).
% 4.62/3.46 tff(8816,plain,
% 4.62/3.46 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s105, c_t1)) | (~m_main_v_state2(s105, c_n2)) | m_main_v_state1(s106, c_c1) | node1(s105) | node2(s105) | node3(s105) | (~node7(s105, s106)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s105, c_t1)) | (~m_main_v_state2(s105, c_n2)) | m_main_v_state1(s106, c_c1) | node1(s105) | node2(s105) | node3(s105) | (~node7(s105, s106)))),
% 4.62/3.46 inference(rewrite,[status(thm)],[])).
% 4.62/3.46 tff(8817,plain,
% 4.62/3.46 (((~m_main_v_state1(s105, c_t1)) | (~m_main_v_state2(s105, c_n2)) | node1(s105) | node2(s105) | node3(s105) | (~node7(s105, s106)) | m_main_v_state1(s106, c_c1)) <=> ((~m_main_v_state1(s105, c_t1)) | (~m_main_v_state2(s105, c_n2)) | m_main_v_state1(s106, c_c1) | node1(s105) | node2(s105) | node3(s105) | (~node7(s105, s106)))),
% 4.62/3.46 inference(rewrite,[status(thm)],[])).
% 4.62/3.46 tff(8818,plain,
% 4.62/3.46 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s105, c_t1)) | (~m_main_v_state2(s105, c_n2)) | node1(s105) | node2(s105) | node3(s105) | (~node7(s105, s106)) | m_main_v_state1(s106, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s105, c_t1)) | (~m_main_v_state2(s105, c_n2)) | m_main_v_state1(s106, c_c1) | node1(s105) | node2(s105) | node3(s105) | (~node7(s105, s106))))),
% 4.62/3.46 inference(monotonicity,[status(thm)],[8817])).
% 4.62/3.46 tff(8819,plain,
% 4.62/3.46 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s105, c_t1)) | (~m_main_v_state2(s105, c_n2)) | node1(s105) | node2(s105) | node3(s105) | (~node7(s105, s106)) | m_main_v_state1(s106, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s105, c_t1)) | (~m_main_v_state2(s105, c_n2)) | m_main_v_state1(s106, c_c1) | node1(s105) | node2(s105) | node3(s105) | (~node7(s105, s106)))),
% 4.62/3.46 inference(transitivity,[status(thm)],[8818, 8816])).
% 4.62/3.46 tff(8820,plain,
% 4.62/3.46 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s105, c_t1)) | (~m_main_v_state2(s105, c_n2)) | node1(s105) | node2(s105) | node3(s105) | (~node7(s105, s106)) | m_main_v_state1(s106, c_c1))),
% 4.62/3.46 inference(quant_inst,[status(thm)],[])).
% 4.62/3.46 tff(8821,plain,
% 4.62/3.46 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s105, c_t1)) | (~m_main_v_state2(s105, c_n2)) | m_main_v_state1(s106, c_c1) | node1(s105) | node2(s105) | node3(s105) | (~node7(s105, s106))),
% 4.62/3.46 inference(modus_ponens,[status(thm)],[8820, 8819])).
% 4.62/3.46 tff(8822,plain,
% 4.62/3.46 ((~m_main_v_state1(s105, c_t1)) | (~m_main_v_state2(s105, c_n2)) | m_main_v_state1(s106, c_c1) | node1(s105) | node2(s105) | node3(s105)),
% 4.62/3.46 inference(unit_resolution,[status(thm)],[8821, 892, 8815])).
% 4.62/3.46 tff(8823,plain,
% 4.62/3.46 (m_main_v_state1(s106, c_c1)),
% 4.62/3.46 inference(unit_resolution,[status(thm)],[8822, 8811, 8724, 8688, 8807, 8796])).
% 4.62/3.46 tff(8824,plain,
% 4.62/3.46 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s106, c_n1)) | (~m_main_v_state1(s106, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s106, c_n1)) | (~m_main_v_state1(s106, c_c1)))),
% 4.62/3.46 inference(rewrite,[status(thm)],[])).
% 4.62/3.46 tff(8825,plain,
% 4.62/3.46 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s106, c_n1)) | (~m_main_v_state1(s106, c_c1)))),
% 4.62/3.46 inference(quant_inst,[status(thm)],[])).
% 4.62/3.46 tff(8826,plain,
% 4.62/3.46 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s106, c_n1)) | (~m_main_v_state1(s106, c_c1))),
% 4.62/3.46 inference(modus_ponens,[status(thm)],[8825, 8824])).
% 4.62/3.46 tff(8827,plain,
% 4.62/3.46 (~m_main_v_state1(s106, c_n1)),
% 4.62/3.46 inference(unit_resolution,[status(thm)],[8826, 454, 8823])).
% 4.62/3.46 tff(8828,plain,
% 4.62/3.46 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s106, c_n1) | (~node11(s106)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s106, c_n1) | (~node11(s106)))),
% 4.62/3.46 inference(rewrite,[status(thm)],[])).
% 4.62/3.46 tff(8829,plain,
% 4.62/3.46 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s106, c_n1) | (~node11(s106)))),
% 4.62/3.46 inference(quant_inst,[status(thm)],[])).
% 4.62/3.46 tff(8830,plain,
% 4.62/3.46 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s106, c_n1) | (~node11(s106))),
% 4.62/3.46 inference(modus_ponens,[status(thm)],[8829, 8828])).
% 4.62/3.46 tff(8831,plain,
% 4.62/3.46 (~node11(s106)),
% 4.62/3.46 inference(unit_resolution,[status(thm)],[8830, 238, 8827])).
% 4.62/3.46 tff(8832,plain,
% 4.62/3.46 (succ(s106, s107) <=> succ(s106, s107)),
% 4.62/3.46 inference(rewrite,[status(thm)],[])).
% 4.62/3.46 tff(8833,axiom,(succ(s106, s107)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound107')).
% 4.62/3.46 tff(8834,plain,
% 4.62/3.46 (succ(s106, s107)),
% 4.62/3.46 inference(modus_ponens,[status(thm)],[8833, 8832])).
% 4.62/3.46 tff(8835,plain,
% 4.62/3.46 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s106, s107)) | trans(s106, s107))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s106, s107)) | trans(s106, s107))),
% 4.62/3.46 inference(rewrite,[status(thm)],[])).
% 4.62/3.46 tff(8836,plain,
% 4.62/3.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s106, s107)) | trans(s106, s107))),
% 4.62/3.46 inference(quant_inst,[status(thm)],[])).
% 4.62/3.46 tff(8837,plain,
% 4.62/3.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s106, s107)) | trans(s106, s107)),
% 4.62/3.46 inference(modus_ponens,[status(thm)],[8836, 8835])).
% 4.62/3.46 tff(8838,plain,
% 4.62/3.46 (trans(s106, s107)),
% 4.62/3.46 inference(unit_resolution,[status(thm)],[8837, 8834, 32])).
% 4.62/3.46 tff(8839,plain,
% 4.62/3.46 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s106, s107)) | node14(s106, s107))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s106, s107)) | node14(s106, s107))),
% 4.62/3.46 inference(rewrite,[status(thm)],[])).
% 4.62/3.46 tff(8840,plain,
% 4.62/3.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s106, s107)) | node14(s106, s107))),
% 4.62/3.46 inference(quant_inst,[status(thm)],[])).
% 4.62/3.46 tff(8841,plain,
% 4.62/3.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s106, s107)) | node14(s106, s107)),
% 4.62/3.46 inference(modus_ponens,[status(thm)],[8840, 8839])).
% 4.62/3.46 tff(8842,plain,
% 4.62/3.46 (node14(s106, s107)),
% 4.62/3.46 inference(unit_resolution,[status(thm)],[8841, 46, 8838])).
% 4.62/3.46 tff(8843,plain,
% 4.62/3.46 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s106, c_c2) | node9(s106) | node8(s106) | node10(s106) | node11(s106) | node12(s106) | node13(s106, s107) | (~node14(s106, s107)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s106, c_c2) | node9(s106) | node8(s106) | node10(s106) | node11(s106) | node12(s106) | node13(s106, s107) | (~node14(s106, s107)))),
% 4.62/3.46 inference(rewrite,[status(thm)],[])).
% 4.62/3.46 tff(8844,plain,
% 4.62/3.46 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s106, c_c2) | node9(s106) | node8(s106) | node10(s106) | node11(s106) | node12(s106) | node13(s106, s107) | (~node14(s106, s107)))),
% 4.62/3.46 inference(quant_inst,[status(thm)],[])).
% 4.62/3.46 tff(8845,plain,
% 4.62/3.46 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s106, c_c2) | node9(s106) | node8(s106) | node10(s106) | node11(s106) | node12(s106) | node13(s106, s107) | (~node14(s106, s107))),
% 4.62/3.46 inference(modus_ponens,[status(thm)],[8844, 8843])).
% 4.62/3.46 tff(8846,plain,
% 4.62/3.46 (m_main_v_state2(s106, c_c2) | node9(s106) | node8(s106) | node10(s106) | node11(s106) | node12(s106) | node13(s106, s107)),
% 4.62/3.46 inference(unit_resolution,[status(thm)],[8845, 296, 8842])).
% 4.62/3.46 tff(8847,plain,
% 4.62/3.46 (node13(s106, s107)),
% 4.62/3.46 inference(unit_resolution,[status(thm)],[8846, 8831, 8788, 8784, 8780, 8776, 8759])).
% 4.62/3.46 tff(8848,plain,
% 4.62/3.46 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s106, c_n2) | (~m_main_v_state2(s107, c_n2)) | (~node13(s106, s107)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s106, c_n2) | (~m_main_v_state2(s107, c_n2)) | (~node13(s106, s107)))),
% 4.62/3.46 inference(rewrite,[status(thm)],[])).
% 4.62/3.46 tff(8849,plain,
% 4.62/3.46 (((~node13(s106, s107)) | m_main_v_state2(s106, c_n2) | (~m_main_v_state2(s107, c_n2))) <=> (m_main_v_state2(s106, c_n2) | (~m_main_v_state2(s107, c_n2)) | (~node13(s106, s107)))),
% 4.62/3.46 inference(rewrite,[status(thm)],[])).
% 4.62/3.46 tff(8850,plain,
% 4.62/3.46 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s106, s107)) | m_main_v_state2(s106, c_n2) | (~m_main_v_state2(s107, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s106, c_n2) | (~m_main_v_state2(s107, c_n2)) | (~node13(s106, s107))))),
% 4.62/3.46 inference(monotonicity,[status(thm)],[8849])).
% 4.62/3.47 tff(8851,plain,
% 4.62/3.47 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s106, s107)) | m_main_v_state2(s106, c_n2) | (~m_main_v_state2(s107, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s106, c_n2) | (~m_main_v_state2(s107, c_n2)) | (~node13(s106, s107)))),
% 4.62/3.47 inference(transitivity,[status(thm)],[8850, 8848])).
% 4.62/3.47 tff(8852,plain,
% 4.62/3.47 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s106, s107)) | m_main_v_state2(s106, c_n2) | (~m_main_v_state2(s107, c_n2)))),
% 4.62/3.47 inference(quant_inst,[status(thm)],[])).
% 4.62/3.47 tff(8853,plain,
% 4.62/3.47 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s106, c_n2) | (~m_main_v_state2(s107, c_n2)) | (~node13(s106, s107))),
% 4.62/3.47 inference(modus_ponens,[status(thm)],[8852, 8851])).
% 4.62/3.47 tff(8854,plain,
% 4.62/3.47 (~m_main_v_state2(s107, c_n2)),
% 4.62/3.47 inference(unit_resolution,[status(thm)],[8853, 311, 8772, 8847])).
% 4.62/3.47 tff(8855,plain,
% 4.62/3.47 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s107, c_n2) | (~node9(s107)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s107, c_n2) | (~node9(s107)))),
% 4.62/3.47 inference(rewrite,[status(thm)],[])).
% 4.62/3.47 tff(8856,plain,
% 4.62/3.47 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s107, c_n2) | (~node9(s107)))),
% 4.62/3.47 inference(quant_inst,[status(thm)],[])).
% 4.62/3.47 tff(8857,plain,
% 4.62/3.47 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s107, c_n2) | (~node9(s107))),
% 4.62/3.47 inference(modus_ponens,[status(thm)],[8856, 8855])).
% 4.62/3.47 tff(8858,plain,
% 4.62/3.47 (~node9(s107)),
% 4.62/3.47 inference(unit_resolution,[status(thm)],[8857, 88, 8854])).
% 4.62/3.47 tff(8859,plain,
% 4.62/3.47 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s107, c_n2) | (~node10(s107)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s107, c_n2) | (~node10(s107)))),
% 4.62/3.47 inference(rewrite,[status(thm)],[])).
% 4.62/3.47 tff(8860,plain,
% 4.62/3.47 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s107, c_n2) | (~node10(s107)))),
% 4.62/3.47 inference(quant_inst,[status(thm)],[])).
% 4.62/3.47 tff(8861,plain,
% 4.62/3.47 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s107, c_n2) | (~node10(s107))),
% 4.62/3.47 inference(modus_ponens,[status(thm)],[8860, 8859])).
% 4.62/3.47 tff(8862,plain,
% 4.62/3.47 (~node10(s107)),
% 4.62/3.47 inference(unit_resolution,[status(thm)],[8861, 249, 8854])).
% 4.62/3.47 tff(8863,plain,
% 4.62/3.47 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s106, c_t2)) | m_main_v_state2(s107, c_t2) | (~node13(s106, s107)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s106, c_t2)) | m_main_v_state2(s107, c_t2) | (~node13(s106, s107)))),
% 4.62/3.47 inference(rewrite,[status(thm)],[])).
% 4.62/3.47 tff(8864,plain,
% 4.62/3.47 (((~node13(s106, s107)) | (~m_main_v_state2(s106, c_t2)) | m_main_v_state2(s107, c_t2)) <=> ((~m_main_v_state2(s106, c_t2)) | m_main_v_state2(s107, c_t2) | (~node13(s106, s107)))),
% 4.62/3.47 inference(rewrite,[status(thm)],[])).
% 4.62/3.47 tff(8865,plain,
% 4.62/3.47 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s106, s107)) | (~m_main_v_state2(s106, c_t2)) | m_main_v_state2(s107, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s106, c_t2)) | m_main_v_state2(s107, c_t2) | (~node13(s106, s107))))),
% 4.62/3.47 inference(monotonicity,[status(thm)],[8864])).
% 4.62/3.47 tff(8866,plain,
% 4.62/3.47 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s106, s107)) | (~m_main_v_state2(s106, c_t2)) | m_main_v_state2(s107, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s106, c_t2)) | m_main_v_state2(s107, c_t2) | (~node13(s106, s107)))),
% 4.62/3.47 inference(transitivity,[status(thm)],[8865, 8863])).
% 4.62/3.47 tff(8867,plain,
% 4.62/3.47 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s106, s107)) | (~m_main_v_state2(s106, c_t2)) | m_main_v_state2(s107, c_t2))),
% 4.62/3.47 inference(quant_inst,[status(thm)],[])).
% 4.62/3.47 tff(8868,plain,
% 4.62/3.47 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s106, c_t2)) | m_main_v_state2(s107, c_t2) | (~node13(s106, s107))),
% 4.62/3.47 inference(modus_ponens,[status(thm)],[8867, 8866])).
% 4.62/3.47 tff(8869,plain,
% 4.62/3.47 (m_main_v_state2(s107, c_t2)),
% 4.62/3.47 inference(unit_resolution,[status(thm)],[8868, 518, 8768, 8847])).
% 4.62/3.47 tff(8870,plain,
% 4.62/3.47 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s106, c_t1)) | (~m_main_v_state1(s106, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s106, c_t1)) | (~m_main_v_state1(s106, c_c1)))),
% 4.62/3.47 inference(rewrite,[status(thm)],[])).
% 4.62/3.47 tff(8871,plain,
% 4.62/3.47 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s106, c_t1)) | (~m_main_v_state1(s106, c_c1)))),
% 4.62/3.47 inference(quant_inst,[status(thm)],[])).
% 4.62/3.47 tff(8872,plain,
% 4.62/3.47 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s106, c_t1)) | (~m_main_v_state1(s106, c_c1))),
% 4.62/3.47 inference(modus_ponens,[status(thm)],[8871, 8870])).
% 4.62/3.47 tff(8873,plain,
% 4.62/3.47 (~m_main_v_state1(s106, c_t1)),
% 4.62/3.47 inference(unit_resolution,[status(thm)],[8872, 539, 8823])).
% 4.62/3.47 tff(8874,plain,
% 4.62/3.47 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s106, c_t1) | (~node5(s106)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s106, c_t1) | (~node5(s106)))),
% 4.62/3.47 inference(rewrite,[status(thm)],[])).
% 4.62/3.47 tff(8875,plain,
% 4.62/3.47 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s106, c_t1) | (~node5(s106)))),
% 4.62/3.47 inference(quant_inst,[status(thm)],[])).
% 4.62/3.47 tff(8876,plain,
% 4.62/3.47 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s106, c_t1) | (~node5(s106))),
% 4.62/3.47 inference(modus_ponens,[status(thm)],[8875, 8874])).
% 4.62/3.47 tff(8877,plain,
% 4.62/3.47 (~node5(s106)),
% 4.62/3.47 inference(unit_resolution,[status(thm)],[8876, 550, 8873])).
% 4.62/3.47 tff(8878,plain,
% 4.62/3.47 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s106, c_n2) | (~node4(s106)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s106, c_n2) | (~node4(s106)))),
% 4.62/3.47 inference(rewrite,[status(thm)],[])).
% 4.62/3.47 tff(8879,plain,
% 4.62/3.47 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s106, c_n2) | (~node4(s106)))),
% 4.62/3.47 inference(quant_inst,[status(thm)],[])).
% 4.62/3.47 tff(8880,plain,
% 4.62/3.47 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s106, c_n2) | (~node4(s106))),
% 4.62/3.47 inference(modus_ponens,[status(thm)],[8879, 8878])).
% 4.62/3.47 tff(8881,plain,
% 4.62/3.47 (~node4(s106)),
% 4.62/3.47 inference(unit_resolution,[status(thm)],[8880, 388, 8772])).
% 4.62/3.47 tff(8882,plain,
% 4.62/3.47 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s106, c_c2) | (~node3(s106)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s106, c_c2) | (~node3(s106)))),
% 4.62/3.47 inference(rewrite,[status(thm)],[])).
% 4.62/3.47 tff(8883,plain,
% 4.62/3.47 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s106, c_c2) | (~node3(s106)))),
% 4.62/3.47 inference(quant_inst,[status(thm)],[])).
% 4.62/3.47 tff(8884,plain,
% 4.62/3.47 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s106, c_c2) | (~node3(s106))),
% 4.62/3.47 inference(modus_ponens,[status(thm)],[8883, 8882])).
% 4.62/3.47 tff(8885,plain,
% 4.62/3.47 (~node3(s106)),
% 4.62/3.47 inference(unit_resolution,[status(thm)],[8884, 399, 8788])).
% 4.62/3.47 tff(8886,plain,
% 4.62/3.47 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s106, c_n2) | (~node2(s106)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s106, c_n2) | (~node2(s106)))),
% 4.62/3.47 inference(rewrite,[status(thm)],[])).
% 4.62/3.47 tff(8887,plain,
% 4.62/3.47 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s106, c_n2) | (~node2(s106)))),
% 4.62/3.47 inference(quant_inst,[status(thm)],[])).
% 4.62/3.47 tff(8888,plain,
% 4.62/3.47 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s106, c_n2) | (~node2(s106))),
% 4.62/3.47 inference(modus_ponens,[status(thm)],[8887, 8886])).
% 4.62/3.47 tff(8889,plain,
% 4.62/3.47 (~node2(s106)),
% 4.62/3.47 inference(unit_resolution,[status(thm)],[8888, 410, 8772])).
% 4.62/3.47 tff(8890,plain,
% 4.62/3.47 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s106, c_n1) | (~node1(s106)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s106, c_n1) | (~node1(s106)))),
% 4.62/3.47 inference(rewrite,[status(thm)],[])).
% 4.62/3.47 tff(8891,plain,
% 4.62/3.47 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s106, c_n1) | (~node1(s106)))),
% 4.62/3.47 inference(quant_inst,[status(thm)],[])).
% 4.62/3.47 tff(8892,plain,
% 4.62/3.47 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s106, c_n1) | (~node1(s106))),
% 4.62/3.47 inference(modus_ponens,[status(thm)],[8891, 8890])).
% 4.62/3.47 tff(8893,plain,
% 4.62/3.47 (~node1(s106)),
% 4.62/3.47 inference(unit_resolution,[status(thm)],[8892, 421, 8827])).
% 4.62/3.47 tff(8894,plain,
% 4.62/3.47 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s106, s107)) | node7(s106, s107))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s106, s107)) | node7(s106, s107))),
% 4.62/3.47 inference(rewrite,[status(thm)],[])).
% 4.62/3.47 tff(8895,plain,
% 4.62/3.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s106, s107)) | node7(s106, s107))),
% 4.62/3.47 inference(quant_inst,[status(thm)],[])).
% 4.62/3.47 tff(8896,plain,
% 4.62/3.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s106, s107)) | node7(s106, s107)),
% 4.62/3.47 inference(modus_ponens,[status(thm)],[8895, 8894])).
% 4.62/3.47 tff(8897,plain,
% 4.62/3.47 (node7(s106, s107)),
% 4.62/3.47 inference(unit_resolution,[status(thm)],[8896, 206, 8838])).
% 4.62/3.47 tff(8898,plain,
% 4.62/3.47 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s107, c_n1) | (~m_main_v_state1(s106, c_c1)) | node1(s106) | node2(s106) | node3(s106) | node4(s106) | node5(s106) | (~node7(s106, s107)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s107, c_n1) | (~m_main_v_state1(s106, c_c1)) | node1(s106) | node2(s106) | node3(s106) | node4(s106) | node5(s106) | (~node7(s106, s107)))),
% 4.62/3.47 inference(rewrite,[status(thm)],[])).
% 4.62/3.47 tff(8899,plain,
% 4.62/3.47 (((~m_main_v_state1(s106, c_c1)) | node1(s106) | node2(s106) | node3(s106) | node4(s106) | node5(s106) | (~node7(s106, s107)) | m_main_v_state1(s107, c_n1)) <=> (m_main_v_state1(s107, c_n1) | (~m_main_v_state1(s106, c_c1)) | node1(s106) | node2(s106) | node3(s106) | node4(s106) | node5(s106) | (~node7(s106, s107)))),
% 4.62/3.47 inference(rewrite,[status(thm)],[])).
% 4.62/3.47 tff(8900,plain,
% 4.62/3.47 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s106, c_c1)) | node1(s106) | node2(s106) | node3(s106) | node4(s106) | node5(s106) | (~node7(s106, s107)) | m_main_v_state1(s107, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s107, c_n1) | (~m_main_v_state1(s106, c_c1)) | node1(s106) | node2(s106) | node3(s106) | node4(s106) | node5(s106) | (~node7(s106, s107))))),
% 4.62/3.47 inference(monotonicity,[status(thm)],[8899])).
% 4.62/3.47 tff(8901,plain,
% 4.62/3.47 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s106, c_c1)) | node1(s106) | node2(s106) | node3(s106) | node4(s106) | node5(s106) | (~node7(s106, s107)) | m_main_v_state1(s107, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s107, c_n1) | (~m_main_v_state1(s106, c_c1)) | node1(s106) | node2(s106) | node3(s106) | node4(s106) | node5(s106) | (~node7(s106, s107)))),
% 4.62/3.47 inference(transitivity,[status(thm)],[8900, 8898])).
% 4.62/3.47 tff(8902,plain,
% 4.62/3.47 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s106, c_c1)) | node1(s106) | node2(s106) | node3(s106) | node4(s106) | node5(s106) | (~node7(s106, s107)) | m_main_v_state1(s107, c_n1))),
% 4.62/3.47 inference(quant_inst,[status(thm)],[])).
% 4.62/3.47 tff(8903,plain,
% 4.62/3.47 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s107, c_n1) | (~m_main_v_state1(s106, c_c1)) | node1(s106) | node2(s106) | node3(s106) | node4(s106) | node5(s106) | (~node7(s106, s107))),
% 4.62/3.47 inference(modus_ponens,[status(thm)],[8902, 8901])).
% 4.62/3.47 tff(8904,plain,
% 4.62/3.47 (m_main_v_state1(s107, c_n1) | (~m_main_v_state1(s106, c_c1)) | node1(s106) | node2(s106) | node3(s106) | node4(s106) | node5(s106)),
% 4.62/3.47 inference(unit_resolution,[status(thm)],[8903, 584, 8897])).
% 4.62/3.47 tff(8905,plain,
% 4.62/3.47 (m_main_v_state1(s107, c_n1)),
% 4.62/3.47 inference(unit_resolution,[status(thm)],[8904, 8893, 8823, 8889, 8885, 8881, 8877])).
% 4.62/3.47 tff(8906,plain,
% 4.62/3.47 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s107, c_n2) | (~node8(s107)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s107, c_n2) | (~node8(s107)))),
% 4.62/3.47 inference(rewrite,[status(thm)],[])).
% 4.62/3.47 tff(8907,plain,
% 4.62/3.47 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s107, c_n2) | (~node8(s107)))),
% 4.62/3.47 inference(quant_inst,[status(thm)],[])).
% 4.62/3.47 tff(8908,plain,
% 4.62/3.47 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s107, c_n2) | (~node8(s107))),
% 4.62/3.47 inference(modus_ponens,[status(thm)],[8907, 8906])).
% 4.62/3.47 tff(8909,plain,
% 4.62/3.47 (~node8(s107)),
% 4.62/3.47 inference(unit_resolution,[status(thm)],[8908, 271, 8854])).
% 4.62/3.47 tff(8910,plain,
% 4.62/3.47 (succ(s107, s108) <=> succ(s107, s108)),
% 4.62/3.47 inference(rewrite,[status(thm)],[])).
% 4.62/3.47 tff(8911,axiom,(succ(s107, s108)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound108')).
% 4.62/3.47 tff(8912,plain,
% 4.62/3.47 (succ(s107, s108)),
% 4.62/3.47 inference(modus_ponens,[status(thm)],[8911, 8910])).
% 4.62/3.47 tff(8913,plain,
% 4.62/3.47 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s107, s108)) | trans(s107, s108))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s107, s108)) | trans(s107, s108))),
% 4.62/3.47 inference(rewrite,[status(thm)],[])).
% 4.62/3.47 tff(8914,plain,
% 4.62/3.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s107, s108)) | trans(s107, s108))),
% 4.62/3.47 inference(quant_inst,[status(thm)],[])).
% 4.62/3.47 tff(8915,plain,
% 4.62/3.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s107, s108)) | trans(s107, s108)),
% 4.62/3.47 inference(modus_ponens,[status(thm)],[8914, 8913])).
% 4.62/3.47 tff(8916,plain,
% 4.62/3.47 (trans(s107, s108)),
% 4.62/3.47 inference(unit_resolution,[status(thm)],[8915, 8912, 32])).
% 4.62/3.47 tff(8917,plain,
% 4.62/3.47 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s107, s108)) | node14(s107, s108))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s107, s108)) | node14(s107, s108))),
% 4.62/3.47 inference(rewrite,[status(thm)],[])).
% 4.62/3.47 tff(8918,plain,
% 4.62/3.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s107, s108)) | node14(s107, s108))),
% 4.62/3.47 inference(quant_inst,[status(thm)],[])).
% 4.62/3.47 tff(8919,plain,
% 4.62/3.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s107, s108)) | node14(s107, s108)),
% 4.62/3.47 inference(modus_ponens,[status(thm)],[8918, 8917])).
% 4.62/3.47 tff(8920,plain,
% 4.62/3.47 (node14(s107, s108)),
% 4.62/3.47 inference(unit_resolution,[status(thm)],[8919, 46, 8916])).
% 4.62/3.47 tff(8921,plain,
% 4.62/3.47 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s107, c_n1)) | (~m_main_v_state2(s107, c_t2)) | node9(s107) | node8(s107) | node10(s107) | (~node14(s107, s108)) | m_main_v_state2(s108, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s107, c_n1)) | (~m_main_v_state2(s107, c_t2)) | node9(s107) | node8(s107) | node10(s107) | (~node14(s107, s108)) | m_main_v_state2(s108, c_c2))),
% 4.62/3.47 inference(rewrite,[status(thm)],[])).
% 4.62/3.47 tff(8922,plain,
% 4.62/3.47 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s107, c_n1)) | (~m_main_v_state2(s107, c_t2)) | node9(s107) | node8(s107) | node10(s107) | (~node14(s107, s108)) | m_main_v_state2(s108, c_c2))),
% 4.62/3.47 inference(quant_inst,[status(thm)],[])).
% 4.62/3.47 tff(8923,plain,
% 4.62/3.47 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s107, c_n1)) | (~m_main_v_state2(s107, c_t2)) | node9(s107) | node8(s107) | node10(s107) | (~node14(s107, s108)) | m_main_v_state2(s108, c_c2)),
% 4.62/3.47 inference(modus_ponens,[status(thm)],[8922, 8921])).
% 4.62/3.47 tff(8924,plain,
% 4.62/3.47 ((~m_main_v_state1(s107, c_n1)) | (~m_main_v_state2(s107, c_t2)) | node9(s107) | node8(s107) | node10(s107) | m_main_v_state2(s108, c_c2)),
% 4.62/3.47 inference(unit_resolution,[status(thm)],[8923, 617, 8920])).
% 4.62/3.47 tff(8925,plain,
% 4.62/3.47 (m_main_v_state2(s108, c_c2)),
% 4.62/3.47 inference(unit_resolution,[status(thm)],[8924, 8909, 8905, 8869, 8862, 8858])).
% 4.62/3.47 tff(8926,plain,
% 4.62/3.47 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s108, c_t2)) | (~m_main_v_state2(s108, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s108, c_t2)) | (~m_main_v_state2(s108, c_c2)))),
% 4.62/3.47 inference(rewrite,[status(thm)],[])).
% 4.62/3.47 tff(8927,plain,
% 4.62/3.47 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s108, c_t2)) | (~m_main_v_state2(s108, c_c2)))),
% 4.62/3.47 inference(quant_inst,[status(thm)],[])).
% 4.62/3.47 tff(8928,plain,
% 4.62/3.47 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s108, c_t2)) | (~m_main_v_state2(s108, c_c2))),
% 4.62/3.47 inference(modus_ponens,[status(thm)],[8927, 8926])).
% 4.62/3.47 tff(8929,plain,
% 4.62/3.47 (~m_main_v_state2(s108, c_t2)),
% 4.62/3.47 inference(unit_resolution,[status(thm)],[8928, 260, 8925])).
% 4.62/3.47 tff(8930,plain,
% 4.62/3.47 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s108, c_t2) | (~node12(s108)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s108, c_t2) | (~node12(s108)))),
% 4.62/3.47 inference(rewrite,[status(thm)],[])).
% 4.62/3.47 tff(8931,plain,
% 4.62/3.47 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s108, c_t2) | (~node12(s108)))),
% 4.62/3.47 inference(quant_inst,[status(thm)],[])).
% 4.62/3.47 tff(8932,plain,
% 4.62/3.47 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s108, c_t2) | (~node12(s108))),
% 4.62/3.47 inference(modus_ponens,[status(thm)],[8931, 8930])).
% 4.62/3.47 tff(8933,plain,
% 4.62/3.47 (~node12(s108)),
% 4.62/3.47 inference(unit_resolution,[status(thm)],[8932, 633, 8929])).
% 4.62/3.47 tff(8934,plain,
% 4.62/3.47 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s107, s108)) | node7(s107, s108))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s107, s108)) | node7(s107, s108))),
% 4.62/3.47 inference(rewrite,[status(thm)],[])).
% 4.62/3.47 tff(8935,plain,
% 4.62/3.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s107, s108)) | node7(s107, s108))),
% 4.62/3.47 inference(quant_inst,[status(thm)],[])).
% 4.62/3.47 tff(8936,plain,
% 4.62/3.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s107, s108)) | node7(s107, s108)),
% 4.62/3.47 inference(modus_ponens,[status(thm)],[8935, 8934])).
% 4.62/3.47 tff(8937,plain,
% 4.62/3.47 (node7(s107, s108)),
% 4.62/3.47 inference(unit_resolution,[status(thm)],[8936, 206, 8916])).
% 4.62/3.47 tff(8938,plain,
% 4.62/3.47 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s107, c_n1)) | (~m_main_v_state2(s107, c_t2)) | (~node7(s107, s108)) | m_main_v_state1(s108, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s107, c_n1)) | (~m_main_v_state2(s107, c_t2)) | (~node7(s107, s108)) | m_main_v_state1(s108, c_t1))),
% 4.62/3.47 inference(rewrite,[status(thm)],[])).
% 4.62/3.47 tff(8939,plain,
% 4.62/3.47 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s107, c_n1)) | (~m_main_v_state2(s107, c_t2)) | (~node7(s107, s108)) | m_main_v_state1(s108, c_t1))),
% 4.62/3.47 inference(quant_inst,[status(thm)],[])).
% 4.62/3.47 tff(8940,plain,
% 4.62/3.47 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s107, c_n1)) | (~m_main_v_state2(s107, c_t2)) | (~node7(s107, s108)) | m_main_v_state1(s108, c_t1)),
% 4.62/3.47 inference(modus_ponens,[status(thm)],[8939, 8938])).
% 4.62/3.47 tff(8941,plain,
% 4.62/3.47 ((~m_main_v_state1(s107, c_n1)) | (~m_main_v_state2(s107, c_t2)) | m_main_v_state1(s108, c_t1)),
% 4.62/3.47 inference(unit_resolution,[status(thm)],[8940, 651, 8937])).
% 4.62/3.47 tff(8942,plain,
% 4.62/3.47 (m_main_v_state1(s108, c_t1)),
% 4.62/3.47 inference(unit_resolution,[status(thm)],[8941, 8869, 8905])).
% 4.62/3.47 tff(8943,plain,
% 4.62/3.47 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s108, c_n1)) | (~m_main_v_state1(s108, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s108, c_n1)) | (~m_main_v_state1(s108, c_t1)))),
% 4.62/3.47 inference(rewrite,[status(thm)],[])).
% 4.62/3.47 tff(8944,plain,
% 4.62/3.47 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s108, c_n1)) | (~m_main_v_state1(s108, c_t1)))),
% 4.62/3.47 inference(quant_inst,[status(thm)],[])).
% 4.62/3.47 tff(8945,plain,
% 4.62/3.47 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s108, c_n1)) | (~m_main_v_state1(s108, c_t1))),
% 4.62/3.47 inference(modus_ponens,[status(thm)],[8944, 8943])).
% 4.62/3.47 tff(8946,plain,
% 4.62/3.47 (~m_main_v_state1(s108, c_n1)),
% 4.62/3.47 inference(unit_resolution,[status(thm)],[8945, 10, 8942])).
% 4.62/3.47 tff(8947,plain,
% 4.62/3.47 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s108, c_n1) | (~node11(s108)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s108, c_n1) | (~node11(s108)))),
% 4.62/3.47 inference(rewrite,[status(thm)],[])).
% 4.62/3.47 tff(8948,plain,
% 4.62/3.47 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s108, c_n1) | (~node11(s108)))),
% 4.62/3.47 inference(quant_inst,[status(thm)],[])).
% 4.62/3.47 tff(8949,plain,
% 4.62/3.47 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s108, c_n1) | (~node11(s108))),
% 4.62/3.47 inference(modus_ponens,[status(thm)],[8948, 8947])).
% 4.62/3.47 tff(8950,plain,
% 4.62/3.47 (~node11(s108)),
% 4.62/3.47 inference(unit_resolution,[status(thm)],[8949, 238, 8946])).
% 4.62/3.47 tff(8951,plain,
% 4.62/3.47 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s108, c_t1)) | (~m_main_v_state1(s108, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s108, c_t1)) | (~m_main_v_state1(s108, c_c1)))),
% 4.62/3.47 inference(rewrite,[status(thm)],[])).
% 4.62/3.47 tff(8952,plain,
% 4.62/3.47 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s108, c_t1)) | (~m_main_v_state1(s108, c_c1)))),
% 4.62/3.47 inference(quant_inst,[status(thm)],[])).
% 4.62/3.47 tff(8953,plain,
% 4.62/3.47 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s108, c_t1)) | (~m_main_v_state1(s108, c_c1))),
% 4.62/3.47 inference(modus_ponens,[status(thm)],[8952, 8951])).
% 4.62/3.47 tff(8954,plain,
% 4.62/3.47 (~m_main_v_state1(s108, c_c1)),
% 4.62/3.47 inference(unit_resolution,[status(thm)],[8953, 539, 8942])).
% 4.62/3.47 tff(8955,plain,
% 4.62/3.47 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s108, c_c1) | (~node10(s108)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s108, c_c1) | (~node10(s108)))),
% 4.62/3.47 inference(rewrite,[status(thm)],[])).
% 4.62/3.47 tff(8956,plain,
% 4.62/3.47 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s108, c_c1) | (~node10(s108)))),
% 4.62/3.47 inference(quant_inst,[status(thm)],[])).
% 4.62/3.47 tff(8957,plain,
% 4.62/3.47 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s108, c_c1) | (~node10(s108))),
% 4.62/3.47 inference(modus_ponens,[status(thm)],[8956, 8955])).
% 4.62/3.47 tff(8958,plain,
% 4.62/3.47 (~node10(s108)),
% 4.62/3.47 inference(unit_resolution,[status(thm)],[8957, 675, 8954])).
% 4.62/3.47 tff(8959,plain,
% 4.62/3.47 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s108, c_n1) | (~node9(s108)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s108, c_n1) | (~node9(s108)))),
% 4.62/3.47 inference(rewrite,[status(thm)],[])).
% 4.62/3.47 tff(8960,plain,
% 4.62/3.47 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s108, c_n1) | (~node9(s108)))),
% 4.62/3.47 inference(quant_inst,[status(thm)],[])).
% 4.62/3.47 tff(8961,plain,
% 4.62/3.47 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s108, c_n1) | (~node9(s108))),
% 4.62/3.47 inference(modus_ponens,[status(thm)],[8960, 8959])).
% 4.62/3.47 tff(8962,plain,
% 4.62/3.47 (~node9(s108)),
% 4.62/3.47 inference(unit_resolution,[status(thm)],[8961, 686, 8946])).
% 4.62/3.47 tff(8963,plain,
% 4.62/3.47 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s108, c_n2)) | (~m_main_v_state2(s108, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s108, c_n2)) | (~m_main_v_state2(s108, c_c2)))),
% 4.62/3.47 inference(rewrite,[status(thm)],[])).
% 4.62/3.47 tff(8964,plain,
% 4.62/3.47 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s108, c_n2)) | (~m_main_v_state2(s108, c_c2)))),
% 4.62/3.47 inference(quant_inst,[status(thm)],[])).
% 4.62/3.47 tff(8965,plain,
% 4.62/3.47 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s108, c_n2)) | (~m_main_v_state2(s108, c_c2))),
% 4.62/3.47 inference(modus_ponens,[status(thm)],[8964, 8963])).
% 4.62/3.47 tff(8966,plain,
% 4.62/3.47 (~m_main_v_state2(s108, c_n2)),
% 4.62/3.47 inference(unit_resolution,[status(thm)],[8965, 697, 8925])).
% 4.62/3.47 tff(8967,plain,
% 4.62/3.47 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s108, c_n2) | (~node8(s108)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s108, c_n2) | (~node8(s108)))),
% 4.62/3.47 inference(rewrite,[status(thm)],[])).
% 4.62/3.47 tff(8968,plain,
% 4.62/3.47 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s108, c_n2) | (~node8(s108)))),
% 4.62/3.47 inference(quant_inst,[status(thm)],[])).
% 4.62/3.47 tff(8969,plain,
% 4.62/3.47 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s108, c_n2) | (~node8(s108))),
% 4.62/3.47 inference(modus_ponens,[status(thm)],[8968, 8967])).
% 4.62/3.47 tff(8970,plain,
% 4.62/3.47 (~node8(s108)),
% 4.62/3.47 inference(unit_resolution,[status(thm)],[8969, 271, 8966])).
% 4.62/3.47 tff(8971,plain,
% 4.62/3.47 (succ(s108, s109) <=> succ(s108, s109)),
% 4.62/3.47 inference(rewrite,[status(thm)],[])).
% 4.62/3.47 tff(8972,axiom,(succ(s108, s109)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound109')).
% 4.62/3.47 tff(8973,plain,
% 4.62/3.47 (succ(s108, s109)),
% 4.62/3.47 inference(modus_ponens,[status(thm)],[8972, 8971])).
% 4.62/3.47 tff(8974,plain,
% 4.62/3.47 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s108, s109)) | trans(s108, s109))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s108, s109)) | trans(s108, s109))),
% 4.62/3.47 inference(rewrite,[status(thm)],[])).
% 4.62/3.47 tff(8975,plain,
% 4.62/3.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s108, s109)) | trans(s108, s109))),
% 4.62/3.47 inference(quant_inst,[status(thm)],[])).
% 4.62/3.47 tff(8976,plain,
% 4.62/3.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s108, s109)) | trans(s108, s109)),
% 4.62/3.47 inference(modus_ponens,[status(thm)],[8975, 8974])).
% 4.62/3.47 tff(8977,plain,
% 4.62/3.47 (trans(s108, s109)),
% 4.62/3.47 inference(unit_resolution,[status(thm)],[8976, 8973, 32])).
% 4.62/3.47 tff(8978,plain,
% 4.62/3.47 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s108, s109)) | node14(s108, s109))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s108, s109)) | node14(s108, s109))),
% 4.62/3.48 inference(rewrite,[status(thm)],[])).
% 4.62/3.48 tff(8979,plain,
% 4.62/3.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s108, s109)) | node14(s108, s109))),
% 4.62/3.48 inference(quant_inst,[status(thm)],[])).
% 4.62/3.48 tff(8980,plain,
% 4.62/3.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s108, s109)) | node14(s108, s109)),
% 4.62/3.48 inference(modus_ponens,[status(thm)],[8979, 8978])).
% 4.62/3.48 tff(8981,plain,
% 4.62/3.48 (node14(s108, s109)),
% 4.62/3.48 inference(unit_resolution,[status(thm)],[8980, 46, 8977])).
% 4.62/3.48 tff(8982,plain,
% 4.62/3.48 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s109, c_n2) | node9(s108) | node8(s108) | node10(s108) | node11(s108) | node12(s108) | (~node14(s108, s109)) | (~m_main_v_state2(s108, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s109, c_n2) | node9(s108) | node8(s108) | node10(s108) | node11(s108) | node12(s108) | (~node14(s108, s109)) | (~m_main_v_state2(s108, c_c2)))),
% 4.62/3.48 inference(rewrite,[status(thm)],[])).
% 4.62/3.48 tff(8983,plain,
% 4.62/3.48 (((~m_main_v_state2(s108, c_c2)) | node9(s108) | node8(s108) | node10(s108) | node11(s108) | node12(s108) | (~node14(s108, s109)) | m_main_v_state2(s109, c_n2)) <=> (m_main_v_state2(s109, c_n2) | node9(s108) | node8(s108) | node10(s108) | node11(s108) | node12(s108) | (~node14(s108, s109)) | (~m_main_v_state2(s108, c_c2)))),
% 4.62/3.48 inference(rewrite,[status(thm)],[])).
% 4.62/3.48 tff(8984,plain,
% 4.62/3.48 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s108, c_c2)) | node9(s108) | node8(s108) | node10(s108) | node11(s108) | node12(s108) | (~node14(s108, s109)) | m_main_v_state2(s109, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s109, c_n2) | node9(s108) | node8(s108) | node10(s108) | node11(s108) | node12(s108) | (~node14(s108, s109)) | (~m_main_v_state2(s108, c_c2))))),
% 4.62/3.48 inference(monotonicity,[status(thm)],[8983])).
% 4.62/3.48 tff(8985,plain,
% 4.62/3.48 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s108, c_c2)) | node9(s108) | node8(s108) | node10(s108) | node11(s108) | node12(s108) | (~node14(s108, s109)) | m_main_v_state2(s109, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s109, c_n2) | node9(s108) | node8(s108) | node10(s108) | node11(s108) | node12(s108) | (~node14(s108, s109)) | (~m_main_v_state2(s108, c_c2)))),
% 4.62/3.48 inference(transitivity,[status(thm)],[8984, 8982])).
% 4.62/3.48 tff(8986,plain,
% 4.62/3.48 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s108, c_c2)) | node9(s108) | node8(s108) | node10(s108) | node11(s108) | node12(s108) | (~node14(s108, s109)) | m_main_v_state2(s109, c_n2))),
% 4.62/3.48 inference(quant_inst,[status(thm)],[])).
% 4.62/3.48 tff(8987,plain,
% 4.62/3.48 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s109, c_n2) | node9(s108) | node8(s108) | node10(s108) | node11(s108) | node12(s108) | (~node14(s108, s109)) | (~m_main_v_state2(s108, c_c2))),
% 4.62/3.48 inference(modus_ponens,[status(thm)],[8986, 8985])).
% 4.62/3.48 tff(8988,plain,
% 4.62/3.48 (m_main_v_state2(s109, c_n2) | node9(s108) | node8(s108) | node10(s108) | node11(s108) | node12(s108) | (~m_main_v_state2(s108, c_c2))),
% 4.62/3.48 inference(unit_resolution,[status(thm)],[8987, 726, 8981])).
% 4.62/3.48 tff(8989,plain,
% 4.62/3.48 (m_main_v_state2(s109, c_n2)),
% 4.62/3.48 inference(unit_resolution,[status(thm)],[8988, 8970, 8925, 8962, 8958, 8950, 8933])).
% 4.62/3.48 tff(8990,plain,
% 4.62/3.48 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s109, c_n2)) | (~m_main_v_state2(s109, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s109, c_n2)) | (~m_main_v_state2(s109, c_c2)))),
% 4.62/3.48 inference(rewrite,[status(thm)],[])).
% 4.62/3.48 tff(8991,plain,
% 4.62/3.48 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s109, c_n2)) | (~m_main_v_state2(s109, c_c2)))),
% 4.62/3.48 inference(quant_inst,[status(thm)],[])).
% 4.62/3.48 tff(8992,plain,
% 4.62/3.48 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s109, c_n2)) | (~m_main_v_state2(s109, c_c2))),
% 4.62/3.48 inference(modus_ponens,[status(thm)],[8991, 8990])).
% 4.62/3.48 tff(8993,plain,
% 4.62/3.48 (~m_main_v_state2(s109, c_c2)),
% 4.62/3.48 inference(unit_resolution,[status(thm)],[8992, 697, 8989])).
% 4.62/3.48 tff(8994,plain,
% 4.62/3.48 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s109, c_c2) | (~node3(s109)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s109, c_c2) | (~node3(s109)))),
% 4.62/3.48 inference(rewrite,[status(thm)],[])).
% 4.62/3.48 tff(8995,plain,
% 4.62/3.48 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s109, c_c2) | (~node3(s109)))),
% 4.62/3.48 inference(quant_inst,[status(thm)],[])).
% 4.62/3.48 tff(8996,plain,
% 4.62/3.48 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s109, c_c2) | (~node3(s109))),
% 4.62/3.48 inference(modus_ponens,[status(thm)],[8995, 8994])).
% 4.62/3.48 tff(8997,plain,
% 4.62/3.48 (~node3(s109)),
% 4.62/3.48 inference(unit_resolution,[status(thm)],[8996, 399, 8993])).
% 4.62/3.48 tff(8998,plain,
% 4.62/3.48 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s108, c_n1) | (~node1(s108)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s108, c_n1) | (~node1(s108)))),
% 4.62/3.48 inference(rewrite,[status(thm)],[])).
% 4.62/3.48 tff(8999,plain,
% 4.62/3.48 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s108, c_n1) | (~node1(s108)))),
% 4.62/3.48 inference(quant_inst,[status(thm)],[])).
% 4.62/3.48 tff(9000,plain,
% 4.62/3.48 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s108, c_n1) | (~node1(s108))),
% 4.62/3.48 inference(modus_ponens,[status(thm)],[8999, 8998])).
% 4.62/3.48 tff(9001,plain,
% 4.62/3.48 (~node1(s108)),
% 4.62/3.48 inference(unit_resolution,[status(thm)],[9000, 421, 8946])).
% 4.62/3.48 tff(9002,plain,
% 4.62/3.48 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s107, s108)) | node18(s107, s108))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s107, s108)) | node18(s107, s108))),
% 4.62/3.48 inference(rewrite,[status(thm)],[])).
% 4.62/3.48 tff(9003,plain,
% 4.62/3.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s107, s108)) | node18(s107, s108))),
% 4.62/3.48 inference(quant_inst,[status(thm)],[])).
% 4.62/3.48 tff(9004,plain,
% 4.62/3.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s107, s108)) | node18(s107, s108)),
% 4.62/3.48 inference(modus_ponens,[status(thm)],[9003, 9002])).
% 4.62/3.48 tff(9005,plain,
% 4.62/3.48 (node18(s107, s108)),
% 4.62/3.48 inference(unit_resolution,[status(thm)],[9004, 125, 8916])).
% 4.62/3.48 tff(9006,plain,
% 4.62/3.48 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s107, c_n1)) | (~m_main_v_state2(s107, c_t2)) | (~node18(s107, s108)) | m_main_v_turn(s108, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s107, c_n1)) | (~m_main_v_state2(s107, c_t2)) | (~node18(s107, s108)) | m_main_v_turn(s108, c_2))),
% 4.62/3.48 inference(rewrite,[status(thm)],[])).
% 4.62/3.48 tff(9007,plain,
% 4.62/3.48 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s107, c_n1)) | (~m_main_v_state2(s107, c_t2)) | (~node18(s107, s108)) | m_main_v_turn(s108, c_2))),
% 4.64/3.48 inference(quant_inst,[status(thm)],[])).
% 4.64/3.48 tff(9008,plain,
% 4.64/3.48 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s107, c_n1)) | (~m_main_v_state2(s107, c_t2)) | (~node18(s107, s108)) | m_main_v_turn(s108, c_2)),
% 4.64/3.48 inference(modus_ponens,[status(thm)],[9007, 9006])).
% 4.64/3.48 tff(9009,plain,
% 4.64/3.48 ((~m_main_v_state1(s107, c_n1)) | (~m_main_v_state2(s107, c_t2)) | m_main_v_turn(s108, c_2)),
% 4.64/3.48 inference(unit_resolution,[status(thm)],[9008, 760, 9005])).
% 4.64/3.48 tff(9010,plain,
% 4.64/3.48 (m_main_v_turn(s108, c_2)),
% 4.64/3.48 inference(unit_resolution,[status(thm)],[9009, 8869, 8905])).
% 4.64/3.48 tff(9011,plain,
% 4.64/3.48 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s108, c_1)) | (~m_main_v_turn(s108, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s108, c_1)) | (~m_main_v_turn(s108, c_2)))),
% 4.64/3.48 inference(rewrite,[status(thm)],[])).
% 4.64/3.48 tff(9012,plain,
% 4.64/3.48 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s108, c_1)) | (~m_main_v_turn(s108, c_2)))),
% 4.64/3.48 inference(quant_inst,[status(thm)],[])).
% 4.64/3.48 tff(9013,plain,
% 4.64/3.48 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s108, c_1)) | (~m_main_v_turn(s108, c_2))),
% 4.64/3.48 inference(modus_ponens,[status(thm)],[9012, 9011])).
% 4.64/3.48 tff(9014,plain,
% 4.64/3.48 (~m_main_v_turn(s108, c_1)),
% 4.64/3.48 inference(unit_resolution,[status(thm)],[9013, 156, 9010])).
% 4.64/3.48 tff(9015,plain,
% 4.64/3.48 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s108, c_1) | (~node5(s108)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s108, c_1) | (~node5(s108)))),
% 4.64/3.48 inference(rewrite,[status(thm)],[])).
% 4.64/3.48 tff(9016,plain,
% 4.64/3.48 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s108, c_1) | (~node5(s108)))),
% 4.64/3.48 inference(quant_inst,[status(thm)],[])).
% 4.64/3.48 tff(9017,plain,
% 4.64/3.48 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s108, c_1) | (~node5(s108))),
% 4.64/3.48 inference(modus_ponens,[status(thm)],[9016, 9015])).
% 4.64/3.48 tff(9018,plain,
% 4.64/3.48 (~node5(s108)),
% 4.64/3.48 inference(unit_resolution,[status(thm)],[9017, 776, 9014])).
% 4.64/3.48 tff(9019,plain,
% 4.64/3.48 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s108, c_n1) | (~node2(s108)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s108, c_n1) | (~node2(s108)))),
% 4.64/3.48 inference(rewrite,[status(thm)],[])).
% 4.64/3.48 tff(9020,plain,
% 4.64/3.48 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s108, c_n1) | (~node2(s108)))),
% 4.64/3.48 inference(quant_inst,[status(thm)],[])).
% 4.64/3.48 tff(9021,plain,
% 4.64/3.48 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s108, c_n1) | (~node2(s108))),
% 4.64/3.48 inference(modus_ponens,[status(thm)],[9020, 9019])).
% 4.64/3.48 tff(9022,plain,
% 4.64/3.48 (~node2(s108)),
% 4.64/3.48 inference(unit_resolution,[status(thm)],[9021, 787, 8946])).
% 4.64/3.48 tff(9023,plain,
% 4.64/3.48 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s108, c_n1) | (~node3(s108)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s108, c_n1) | (~node3(s108)))),
% 4.64/3.48 inference(rewrite,[status(thm)],[])).
% 4.64/3.48 tff(9024,plain,
% 4.64/3.48 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s108, c_n1) | (~node3(s108)))),
% 4.64/3.48 inference(quant_inst,[status(thm)],[])).
% 4.64/3.48 tff(9025,plain,
% 4.64/3.48 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s108, c_n1) | (~node3(s108))),
% 4.64/3.48 inference(modus_ponens,[status(thm)],[9024, 9023])).
% 4.64/3.48 tff(9026,plain,
% 4.64/3.48 (~node3(s108)),
% 4.64/3.48 inference(unit_resolution,[status(thm)],[9025, 798, 8946])).
% 4.64/3.48 tff(9027,plain,
% 4.64/3.48 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s108, c_n2) | (~node4(s108)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s108, c_n2) | (~node4(s108)))),
% 4.64/3.48 inference(rewrite,[status(thm)],[])).
% 4.64/3.48 tff(9028,plain,
% 4.64/3.48 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s108, c_n2) | (~node4(s108)))),
% 4.64/3.48 inference(quant_inst,[status(thm)],[])).
% 4.64/3.48 tff(9029,plain,
% 4.64/3.48 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s108, c_n2) | (~node4(s108))),
% 4.64/3.48 inference(modus_ponens,[status(thm)],[9028, 9027])).
% 4.64/3.48 tff(9030,plain,
% 4.64/3.48 (~node4(s108)),
% 4.64/3.48 inference(unit_resolution,[status(thm)],[9029, 388, 8966])).
% 4.64/3.48 tff(9031,plain,
% 4.64/3.48 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s108, s109)) | node7(s108, s109))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s108, s109)) | node7(s108, s109))),
% 4.64/3.48 inference(rewrite,[status(thm)],[])).
% 4.64/3.48 tff(9032,plain,
% 4.64/3.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s108, s109)) | node7(s108, s109))),
% 4.64/3.48 inference(quant_inst,[status(thm)],[])).
% 4.64/3.48 tff(9033,plain,
% 4.64/3.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s108, s109)) | node7(s108, s109)),
% 4.64/3.48 inference(modus_ponens,[status(thm)],[9032, 9031])).
% 4.64/3.48 tff(9034,plain,
% 4.64/3.48 (node7(s108, s109)),
% 4.64/3.48 inference(unit_resolution,[status(thm)],[9033, 206, 8977])).
% 4.64/3.48 tff(9035,plain,
% 4.64/3.48 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s108, c_c1) | node1(s108) | node2(s108) | node3(s108) | node4(s108) | node5(s108) | node6(s108, s109) | (~node7(s108, s109)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s108, c_c1) | node1(s108) | node2(s108) | node3(s108) | node4(s108) | node5(s108) | node6(s108, s109) | (~node7(s108, s109)))),
% 4.64/3.48 inference(rewrite,[status(thm)],[])).
% 4.64/3.48 tff(9036,plain,
% 4.64/3.48 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s108, c_c1) | node1(s108) | node2(s108) | node3(s108) | node4(s108) | node5(s108) | node6(s108, s109) | (~node7(s108, s109)))),
% 4.64/3.48 inference(quant_inst,[status(thm)],[])).
% 4.64/3.48 tff(9037,plain,
% 4.64/3.48 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s108, c_c1) | node1(s108) | node2(s108) | node3(s108) | node4(s108) | node5(s108) | node6(s108, s109) | (~node7(s108, s109))),
% 4.64/3.48 inference(modus_ponens,[status(thm)],[9036, 9035])).
% 4.64/3.48 tff(9038,plain,
% 4.64/3.48 (m_main_v_state1(s108, c_c1) | node1(s108) | node2(s108) | node3(s108) | node4(s108) | node5(s108) | node6(s108, s109)),
% 4.64/3.48 inference(unit_resolution,[status(thm)],[9037, 820, 9034])).
% 4.64/3.48 tff(9039,plain,
% 4.64/3.48 (node6(s108, s109)),
% 4.64/3.48 inference(unit_resolution,[status(thm)],[9038, 9030, 8954, 9026, 9022, 9018, 9001])).
% 4.64/3.48 tff(9040,plain,
% 4.64/3.48 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s108, c_n1) | (~m_main_v_state1(s109, c_n1)) | (~node6(s108, s109)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s108, c_n1) | (~m_main_v_state1(s109, c_n1)) | (~node6(s108, s109)))),
% 4.64/3.48 inference(rewrite,[status(thm)],[])).
% 4.64/3.48 tff(9041,plain,
% 4.64/3.48 (((~node6(s108, s109)) | m_main_v_state1(s108, c_n1) | (~m_main_v_state1(s109, c_n1))) <=> (m_main_v_state1(s108, c_n1) | (~m_main_v_state1(s109, c_n1)) | (~node6(s108, s109)))),
% 4.64/3.48 inference(rewrite,[status(thm)],[])).
% 4.64/3.48 tff(9042,plain,
% 4.64/3.48 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s108, s109)) | m_main_v_state1(s108, c_n1) | (~m_main_v_state1(s109, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s108, c_n1) | (~m_main_v_state1(s109, c_n1)) | (~node6(s108, s109))))),
% 4.64/3.48 inference(monotonicity,[status(thm)],[9041])).
% 4.64/3.48 tff(9043,plain,
% 4.64/3.48 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s108, s109)) | m_main_v_state1(s108, c_n1) | (~m_main_v_state1(s109, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s108, c_n1) | (~m_main_v_state1(s109, c_n1)) | (~node6(s108, s109)))),
% 4.64/3.48 inference(transitivity,[status(thm)],[9042, 9040])).
% 4.64/3.48 tff(9044,plain,
% 4.64/3.48 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s108, s109)) | m_main_v_state1(s108, c_n1) | (~m_main_v_state1(s109, c_n1)))),
% 4.64/3.48 inference(quant_inst,[status(thm)],[])).
% 4.64/3.48 tff(9045,plain,
% 4.64/3.48 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s108, c_n1) | (~m_main_v_state1(s109, c_n1)) | (~node6(s108, s109))),
% 4.64/3.48 inference(modus_ponens,[status(thm)],[9044, 9043])).
% 4.64/3.48 tff(9046,plain,
% 4.64/3.48 (~m_main_v_state1(s109, c_n1)),
% 4.64/3.48 inference(unit_resolution,[status(thm)],[9045, 835, 8946, 9039])).
% 4.64/3.48 tff(9047,plain,
% 4.64/3.48 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s109, c_n1) | (~node2(s109)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s109, c_n1) | (~node2(s109)))),
% 4.64/3.48 inference(rewrite,[status(thm)],[])).
% 4.64/3.48 tff(9048,plain,
% 4.64/3.48 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s109, c_n1) | (~node2(s109)))),
% 4.64/3.48 inference(quant_inst,[status(thm)],[])).
% 4.64/3.48 tff(9049,plain,
% 4.64/3.48 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s109, c_n1) | (~node2(s109))),
% 4.64/3.48 inference(modus_ponens,[status(thm)],[9048, 9047])).
% 4.64/3.48 tff(9050,plain,
% 4.64/3.48 (~node2(s109)),
% 4.64/3.48 inference(unit_resolution,[status(thm)],[9049, 787, 9046])).
% 4.64/3.48 tff(9051,plain,
% 4.64/3.48 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s108, c_t1)) | m_main_v_state1(s109, c_t1) | (~node6(s108, s109)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s108, c_t1)) | m_main_v_state1(s109, c_t1) | (~node6(s108, s109)))),
% 4.64/3.48 inference(rewrite,[status(thm)],[])).
% 4.64/3.48 tff(9052,plain,
% 4.64/3.48 (((~node6(s108, s109)) | (~m_main_v_state1(s108, c_t1)) | m_main_v_state1(s109, c_t1)) <=> ((~m_main_v_state1(s108, c_t1)) | m_main_v_state1(s109, c_t1) | (~node6(s108, s109)))),
% 4.64/3.48 inference(rewrite,[status(thm)],[])).
% 4.64/3.48 tff(9053,plain,
% 4.64/3.48 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s108, s109)) | (~m_main_v_state1(s108, c_t1)) | m_main_v_state1(s109, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s108, c_t1)) | m_main_v_state1(s109, c_t1) | (~node6(s108, s109))))),
% 4.64/3.48 inference(monotonicity,[status(thm)],[9052])).
% 4.64/3.48 tff(9054,plain,
% 4.64/3.48 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s108, s109)) | (~m_main_v_state1(s108, c_t1)) | m_main_v_state1(s109, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s108, c_t1)) | m_main_v_state1(s109, c_t1) | (~node6(s108, s109)))),
% 4.64/3.48 inference(transitivity,[status(thm)],[9053, 9051])).
% 4.64/3.48 tff(9055,plain,
% 4.64/3.48 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s108, s109)) | (~m_main_v_state1(s108, c_t1)) | m_main_v_state1(s109, c_t1))),
% 4.64/3.48 inference(quant_inst,[status(thm)],[])).
% 4.64/3.48 tff(9056,plain,
% 4.64/3.48 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s108, c_t1)) | m_main_v_state1(s109, c_t1) | (~node6(s108, s109))),
% 4.64/3.48 inference(modus_ponens,[status(thm)],[9055, 9054])).
% 4.64/3.48 tff(9057,plain,
% 4.64/3.48 (m_main_v_state1(s109, c_t1)),
% 4.64/3.48 inference(unit_resolution,[status(thm)],[9056, 856, 8942, 9039])).
% 4.64/3.48 tff(9058,plain,
% 4.64/3.48 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s109, c_n2)) | (~m_main_v_state2(s109, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s109, c_n2)) | (~m_main_v_state2(s109, c_t2)))),
% 4.64/3.48 inference(rewrite,[status(thm)],[])).
% 4.64/3.48 tff(9059,plain,
% 4.64/3.48 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s109, c_n2)) | (~m_main_v_state2(s109, c_t2)))),
% 4.64/3.48 inference(quant_inst,[status(thm)],[])).
% 4.64/3.48 tff(9060,plain,
% 4.64/3.48 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s109, c_n2)) | (~m_main_v_state2(s109, c_t2))),
% 4.64/3.48 inference(modus_ponens,[status(thm)],[9059, 9058])).
% 4.64/3.48 tff(9061,plain,
% 4.64/3.48 (~m_main_v_state2(s109, c_t2)),
% 4.64/3.48 inference(unit_resolution,[status(thm)],[9060, 77, 8989])).
% 4.64/3.48 tff(9062,plain,
% 4.64/3.48 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s109, c_t2) | (~node1(s109)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s109, c_t2) | (~node1(s109)))),
% 4.64/3.48 inference(rewrite,[status(thm)],[])).
% 4.64/3.48 tff(9063,plain,
% 4.64/3.48 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s109, c_t2) | (~node1(s109)))),
% 4.64/3.48 inference(quant_inst,[status(thm)],[])).
% 4.64/3.48 tff(9064,plain,
% 4.64/3.48 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s109, c_t2) | (~node1(s109))),
% 4.64/3.48 inference(modus_ponens,[status(thm)],[9063, 9062])).
% 4.64/3.48 tff(9065,plain,
% 4.64/3.48 (~node1(s109)),
% 4.64/3.48 inference(unit_resolution,[status(thm)],[9064, 195, 9061])).
% 4.64/3.48 tff(9066,plain,
% 4.64/3.48 (succ(s109, s110) <=> succ(s109, s110)),
% 4.64/3.48 inference(rewrite,[status(thm)],[])).
% 4.64/3.48 tff(9067,axiom,(succ(s109, s110)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound110')).
% 4.64/3.48 tff(9068,plain,
% 4.64/3.48 (succ(s109, s110)),
% 4.64/3.48 inference(modus_ponens,[status(thm)],[9067, 9066])).
% 4.64/3.48 tff(9069,plain,
% 4.64/3.48 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s109, s110)) | trans(s109, s110))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s109, s110)) | trans(s109, s110))),
% 4.64/3.48 inference(rewrite,[status(thm)],[])).
% 4.64/3.48 tff(9070,plain,
% 4.64/3.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s109, s110)) | trans(s109, s110))),
% 4.64/3.48 inference(quant_inst,[status(thm)],[])).
% 4.64/3.48 tff(9071,plain,
% 4.64/3.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s109, s110)) | trans(s109, s110)),
% 4.64/3.48 inference(modus_ponens,[status(thm)],[9070, 9069])).
% 4.64/3.48 tff(9072,plain,
% 4.64/3.48 (trans(s109, s110)),
% 4.64/3.48 inference(unit_resolution,[status(thm)],[9071, 9068, 32])).
% 4.64/3.48 tff(9073,plain,
% 4.64/3.48 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s109, s110)) | node7(s109, s110))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s109, s110)) | node7(s109, s110))),
% 4.64/3.48 inference(rewrite,[status(thm)],[])).
% 4.64/3.48 tff(9074,plain,
% 4.64/3.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s109, s110)) | node7(s109, s110))),
% 4.64/3.48 inference(quant_inst,[status(thm)],[])).
% 4.64/3.48 tff(9075,plain,
% 4.64/3.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s109, s110)) | node7(s109, s110)),
% 4.64/3.48 inference(modus_ponens,[status(thm)],[9074, 9073])).
% 4.64/3.48 tff(9076,plain,
% 4.64/3.48 (node7(s109, s110)),
% 4.64/3.48 inference(unit_resolution,[status(thm)],[9075, 206, 9072])).
% 4.64/3.48 tff(9077,plain,
% 4.64/3.48 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s109, c_t1)) | (~m_main_v_state2(s109, c_n2)) | m_main_v_state1(s110, c_c1) | node1(s109) | node2(s109) | node3(s109) | (~node7(s109, s110)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s109, c_t1)) | (~m_main_v_state2(s109, c_n2)) | m_main_v_state1(s110, c_c1) | node1(s109) | node2(s109) | node3(s109) | (~node7(s109, s110)))),
% 4.64/3.48 inference(rewrite,[status(thm)],[])).
% 4.64/3.48 tff(9078,plain,
% 4.64/3.48 (((~m_main_v_state1(s109, c_t1)) | (~m_main_v_state2(s109, c_n2)) | node1(s109) | node2(s109) | node3(s109) | (~node7(s109, s110)) | m_main_v_state1(s110, c_c1)) <=> ((~m_main_v_state1(s109, c_t1)) | (~m_main_v_state2(s109, c_n2)) | m_main_v_state1(s110, c_c1) | node1(s109) | node2(s109) | node3(s109) | (~node7(s109, s110)))),
% 4.64/3.48 inference(rewrite,[status(thm)],[])).
% 4.64/3.48 tff(9079,plain,
% 4.64/3.48 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s109, c_t1)) | (~m_main_v_state2(s109, c_n2)) | node1(s109) | node2(s109) | node3(s109) | (~node7(s109, s110)) | m_main_v_state1(s110, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s109, c_t1)) | (~m_main_v_state2(s109, c_n2)) | m_main_v_state1(s110, c_c1) | node1(s109) | node2(s109) | node3(s109) | (~node7(s109, s110))))),
% 4.64/3.48 inference(monotonicity,[status(thm)],[9078])).
% 4.64/3.48 tff(9080,plain,
% 4.64/3.48 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s109, c_t1)) | (~m_main_v_state2(s109, c_n2)) | node1(s109) | node2(s109) | node3(s109) | (~node7(s109, s110)) | m_main_v_state1(s110, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s109, c_t1)) | (~m_main_v_state2(s109, c_n2)) | m_main_v_state1(s110, c_c1) | node1(s109) | node2(s109) | node3(s109) | (~node7(s109, s110)))),
% 4.64/3.48 inference(transitivity,[status(thm)],[9079, 9077])).
% 4.64/3.48 tff(9081,plain,
% 4.64/3.48 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s109, c_t1)) | (~m_main_v_state2(s109, c_n2)) | node1(s109) | node2(s109) | node3(s109) | (~node7(s109, s110)) | m_main_v_state1(s110, c_c1))),
% 4.64/3.48 inference(quant_inst,[status(thm)],[])).
% 4.64/3.48 tff(9082,plain,
% 4.64/3.48 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s109, c_t1)) | (~m_main_v_state2(s109, c_n2)) | m_main_v_state1(s110, c_c1) | node1(s109) | node2(s109) | node3(s109) | (~node7(s109, s110))),
% 4.64/3.48 inference(modus_ponens,[status(thm)],[9081, 9080])).
% 4.64/3.48 tff(9083,plain,
% 4.64/3.48 ((~m_main_v_state1(s109, c_t1)) | (~m_main_v_state2(s109, c_n2)) | m_main_v_state1(s110, c_c1) | node1(s109) | node2(s109) | node3(s109)),
% 4.64/3.48 inference(unit_resolution,[status(thm)],[9082, 892, 9076])).
% 4.64/3.48 tff(9084,plain,
% 4.64/3.48 (m_main_v_state1(s110, c_c1)),
% 4.64/3.48 inference(unit_resolution,[status(thm)],[9083, 9065, 8989, 9057, 9050, 8997])).
% 4.64/3.48 tff(9085,plain,
% 4.64/3.48 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s110, c_t1)) | (~m_main_v_state1(s110, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s110, c_t1)) | (~m_main_v_state1(s110, c_c1)))),
% 4.64/3.48 inference(rewrite,[status(thm)],[])).
% 4.64/3.48 tff(9086,plain,
% 4.64/3.48 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s110, c_t1)) | (~m_main_v_state1(s110, c_c1)))),
% 4.64/3.48 inference(quant_inst,[status(thm)],[])).
% 4.64/3.48 tff(9087,plain,
% 4.64/3.48 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s110, c_t1)) | (~m_main_v_state1(s110, c_c1))),
% 4.64/3.48 inference(modus_ponens,[status(thm)],[9086, 9085])).
% 4.64/3.48 tff(9088,plain,
% 4.64/3.48 (~m_main_v_state1(s110, c_t1)),
% 4.64/3.48 inference(unit_resolution,[status(thm)],[9087, 539, 9084])).
% 4.64/3.48 tff(9089,plain,
% 4.64/3.48 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s110, c_t1) | (~node5(s110)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s110, c_t1) | (~node5(s110)))),
% 4.64/3.48 inference(rewrite,[status(thm)],[])).
% 4.64/3.48 tff(9090,plain,
% 4.64/3.48 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s110, c_t1) | (~node5(s110)))),
% 4.64/3.48 inference(quant_inst,[status(thm)],[])).
% 4.64/3.48 tff(9091,plain,
% 4.64/3.48 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s110, c_t1) | (~node5(s110))),
% 4.64/3.49 inference(modus_ponens,[status(thm)],[9090, 9089])).
% 4.64/3.49 tff(9092,plain,
% 4.64/3.49 (~node5(s110)),
% 4.64/3.49 inference(unit_resolution,[status(thm)],[9091, 550, 9088])).
% 4.64/3.49 tff(9093,plain,
% 4.64/3.49 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s109, s110)) | node14(s109, s110))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s109, s110)) | node14(s109, s110))),
% 4.64/3.49 inference(rewrite,[status(thm)],[])).
% 4.64/3.49 tff(9094,plain,
% 4.64/3.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s109, s110)) | node14(s109, s110))),
% 4.64/3.49 inference(quant_inst,[status(thm)],[])).
% 4.64/3.49 tff(9095,plain,
% 4.64/3.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s109, s110)) | node14(s109, s110)),
% 4.64/3.49 inference(modus_ponens,[status(thm)],[9094, 9093])).
% 4.64/3.49 tff(9096,plain,
% 4.64/3.49 (node14(s109, s110)),
% 4.64/3.49 inference(unit_resolution,[status(thm)],[9095, 46, 9072])).
% 4.64/3.49 tff(9097,plain,
% 4.64/3.49 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s109, c_t1)) | (~m_main_v_state2(s109, c_n2)) | (~node14(s109, s110)) | m_main_v_state2(s110, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s109, c_t1)) | (~m_main_v_state2(s109, c_n2)) | (~node14(s109, s110)) | m_main_v_state2(s110, c_t2))),
% 4.64/3.49 inference(rewrite,[status(thm)],[])).
% 4.64/3.49 tff(9098,plain,
% 4.64/3.49 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s109, c_t1)) | (~m_main_v_state2(s109, c_n2)) | (~node14(s109, s110)) | m_main_v_state2(s110, c_t2))),
% 4.64/3.49 inference(quant_inst,[status(thm)],[])).
% 4.64/3.49 tff(9099,plain,
% 4.64/3.49 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s109, c_t1)) | (~m_main_v_state2(s109, c_n2)) | (~node14(s109, s110)) | m_main_v_state2(s110, c_t2)),
% 4.64/3.49 inference(modus_ponens,[status(thm)],[9098, 9097])).
% 4.64/3.49 tff(9100,plain,
% 4.64/3.49 ((~m_main_v_state1(s109, c_t1)) | (~m_main_v_state2(s109, c_n2)) | m_main_v_state2(s110, c_t2)),
% 4.64/3.49 inference(unit_resolution,[status(thm)],[9099, 922, 9096])).
% 4.64/3.49 tff(9101,plain,
% 4.64/3.49 (m_main_v_state2(s110, c_t2)),
% 4.64/3.49 inference(unit_resolution,[status(thm)],[9100, 9057, 8989])).
% 4.64/3.49 tff(9102,plain,
% 4.64/3.49 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s110, c_n2)) | (~m_main_v_state2(s110, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s110, c_n2)) | (~m_main_v_state2(s110, c_t2)))),
% 4.64/3.49 inference(rewrite,[status(thm)],[])).
% 4.64/3.49 tff(9103,plain,
% 4.64/3.49 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s110, c_n2)) | (~m_main_v_state2(s110, c_t2)))),
% 4.64/3.49 inference(quant_inst,[status(thm)],[])).
% 4.64/3.49 tff(9104,plain,
% 4.64/3.49 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s110, c_n2)) | (~m_main_v_state2(s110, c_t2))),
% 4.64/3.49 inference(modus_ponens,[status(thm)],[9103, 9102])).
% 4.64/3.49 tff(9105,plain,
% 4.64/3.49 (~m_main_v_state2(s110, c_n2)),
% 4.64/3.49 inference(unit_resolution,[status(thm)],[9104, 77, 9101])).
% 4.64/3.49 tff(9106,plain,
% 4.64/3.49 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s110, c_n2) | (~node4(s110)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s110, c_n2) | (~node4(s110)))),
% 4.64/3.49 inference(rewrite,[status(thm)],[])).
% 4.64/3.49 tff(9107,plain,
% 4.64/3.49 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s110, c_n2) | (~node4(s110)))),
% 4.64/3.49 inference(quant_inst,[status(thm)],[])).
% 4.64/3.49 tff(9108,plain,
% 4.64/3.49 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s110, c_n2) | (~node4(s110))),
% 4.64/3.49 inference(modus_ponens,[status(thm)],[9107, 9106])).
% 4.64/3.49 tff(9109,plain,
% 4.64/3.49 (~node4(s110)),
% 4.64/3.49 inference(unit_resolution,[status(thm)],[9108, 388, 9105])).
% 4.64/3.49 tff(9110,plain,
% 4.64/3.49 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s110, c_t2)) | (~m_main_v_state2(s110, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s110, c_t2)) | (~m_main_v_state2(s110, c_c2)))),
% 4.64/3.49 inference(rewrite,[status(thm)],[])).
% 4.64/3.49 tff(9111,plain,
% 4.64/3.49 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s110, c_t2)) | (~m_main_v_state2(s110, c_c2)))),
% 4.64/3.49 inference(quant_inst,[status(thm)],[])).
% 4.64/3.49 tff(9112,plain,
% 4.64/3.49 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s110, c_t2)) | (~m_main_v_state2(s110, c_c2))),
% 4.64/3.49 inference(modus_ponens,[status(thm)],[9111, 9110])).
% 4.64/3.49 tff(9113,plain,
% 4.64/3.49 (~m_main_v_state2(s110, c_c2)),
% 4.64/3.49 inference(unit_resolution,[status(thm)],[9112, 260, 9101])).
% 4.64/3.49 tff(9114,plain,
% 4.64/3.49 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s110, c_c2) | (~node3(s110)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s110, c_c2) | (~node3(s110)))),
% 4.64/3.49 inference(rewrite,[status(thm)],[])).
% 4.64/3.49 tff(9115,plain,
% 4.64/3.49 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s110, c_c2) | (~node3(s110)))),
% 4.64/3.49 inference(quant_inst,[status(thm)],[])).
% 4.64/3.49 tff(9116,plain,
% 4.64/3.49 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s110, c_c2) | (~node3(s110))),
% 4.64/3.49 inference(modus_ponens,[status(thm)],[9115, 9114])).
% 4.64/3.49 tff(9117,plain,
% 4.64/3.49 (~node3(s110)),
% 4.64/3.49 inference(unit_resolution,[status(thm)],[9116, 399, 9113])).
% 4.64/3.49 tff(9118,plain,
% 4.64/3.49 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s110, c_n2) | (~node2(s110)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s110, c_n2) | (~node2(s110)))),
% 4.64/3.49 inference(rewrite,[status(thm)],[])).
% 4.64/3.49 tff(9119,plain,
% 4.64/3.49 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s110, c_n2) | (~node2(s110)))),
% 4.64/3.49 inference(quant_inst,[status(thm)],[])).
% 4.64/3.49 tff(9120,plain,
% 4.64/3.49 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s110, c_n2) | (~node2(s110))),
% 4.64/3.49 inference(modus_ponens,[status(thm)],[9119, 9118])).
% 4.64/3.49 tff(9121,plain,
% 4.64/3.49 (~node2(s110)),
% 4.64/3.49 inference(unit_resolution,[status(thm)],[9120, 410, 9105])).
% 4.64/3.49 tff(9122,plain,
% 4.64/3.49 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s110, c_n1)) | (~m_main_v_state1(s110, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s110, c_n1)) | (~m_main_v_state1(s110, c_c1)))),
% 4.64/3.49 inference(rewrite,[status(thm)],[])).
% 4.64/3.49 tff(9123,plain,
% 4.64/3.49 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s110, c_n1)) | (~m_main_v_state1(s110, c_c1)))),
% 4.64/3.49 inference(quant_inst,[status(thm)],[])).
% 4.64/3.49 tff(9124,plain,
% 4.64/3.49 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s110, c_n1)) | (~m_main_v_state1(s110, c_c1))),
% 4.64/3.49 inference(modus_ponens,[status(thm)],[9123, 9122])).
% 4.64/3.49 tff(9125,plain,
% 4.64/3.49 (~m_main_v_state1(s110, c_n1)),
% 4.64/3.49 inference(unit_resolution,[status(thm)],[9124, 454, 9084])).
% 4.64/3.49 tff(9126,plain,
% 4.64/3.49 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s110, c_n1) | (~node1(s110)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s110, c_n1) | (~node1(s110)))),
% 4.64/3.49 inference(rewrite,[status(thm)],[])).
% 4.64/3.49 tff(9127,plain,
% 4.64/3.49 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s110, c_n1) | (~node1(s110)))),
% 4.64/3.49 inference(quant_inst,[status(thm)],[])).
% 4.64/3.49 tff(9128,plain,
% 4.64/3.49 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s110, c_n1) | (~node1(s110))),
% 4.64/3.49 inference(modus_ponens,[status(thm)],[9127, 9126])).
% 4.64/3.49 tff(9129,plain,
% 4.64/3.49 (~node1(s110)),
% 4.64/3.49 inference(unit_resolution,[status(thm)],[9128, 421, 9125])).
% 4.64/3.49 tff(9130,plain,
% 4.64/3.49 (succ(s110, s111) <=> succ(s110, s111)),
% 4.64/3.49 inference(rewrite,[status(thm)],[])).
% 4.64/3.49 tff(9131,axiom,(succ(s110, s111)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound111')).
% 4.64/3.49 tff(9132,plain,
% 4.64/3.49 (succ(s110, s111)),
% 4.64/3.49 inference(modus_ponens,[status(thm)],[9131, 9130])).
% 4.64/3.49 tff(9133,plain,
% 4.64/3.49 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s110, s111)) | trans(s110, s111))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s110, s111)) | trans(s110, s111))),
% 4.64/3.49 inference(rewrite,[status(thm)],[])).
% 4.64/3.49 tff(9134,plain,
% 4.64/3.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s110, s111)) | trans(s110, s111))),
% 4.64/3.49 inference(quant_inst,[status(thm)],[])).
% 4.64/3.49 tff(9135,plain,
% 4.64/3.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s110, s111)) | trans(s110, s111)),
% 4.64/3.49 inference(modus_ponens,[status(thm)],[9134, 9133])).
% 4.64/3.49 tff(9136,plain,
% 4.64/3.49 (trans(s110, s111)),
% 4.64/3.49 inference(unit_resolution,[status(thm)],[9135, 9132, 32])).
% 4.64/3.49 tff(9137,plain,
% 4.64/3.49 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s110, s111)) | node7(s110, s111))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s110, s111)) | node7(s110, s111))),
% 4.64/3.49 inference(rewrite,[status(thm)],[])).
% 4.64/3.49 tff(9138,plain,
% 4.64/3.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s110, s111)) | node7(s110, s111))),
% 4.64/3.49 inference(quant_inst,[status(thm)],[])).
% 4.64/3.49 tff(9139,plain,
% 4.64/3.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s110, s111)) | node7(s110, s111)),
% 4.64/3.49 inference(modus_ponens,[status(thm)],[9138, 9137])).
% 4.64/3.49 tff(9140,plain,
% 4.64/3.49 (node7(s110, s111)),
% 4.64/3.49 inference(unit_resolution,[status(thm)],[9139, 206, 9136])).
% 4.64/3.49 tff(9141,plain,
% 4.64/3.49 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s111, c_n1) | (~m_main_v_state1(s110, c_c1)) | node1(s110) | node2(s110) | node3(s110) | node4(s110) | node5(s110) | (~node7(s110, s111)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s111, c_n1) | (~m_main_v_state1(s110, c_c1)) | node1(s110) | node2(s110) | node3(s110) | node4(s110) | node5(s110) | (~node7(s110, s111)))),
% 4.64/3.49 inference(rewrite,[status(thm)],[])).
% 4.64/3.49 tff(9142,plain,
% 4.64/3.49 (((~m_main_v_state1(s110, c_c1)) | node1(s110) | node2(s110) | node3(s110) | node4(s110) | node5(s110) | (~node7(s110, s111)) | m_main_v_state1(s111, c_n1)) <=> (m_main_v_state1(s111, c_n1) | (~m_main_v_state1(s110, c_c1)) | node1(s110) | node2(s110) | node3(s110) | node4(s110) | node5(s110) | (~node7(s110, s111)))),
% 4.64/3.49 inference(rewrite,[status(thm)],[])).
% 4.64/3.49 tff(9143,plain,
% 4.64/3.49 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s110, c_c1)) | node1(s110) | node2(s110) | node3(s110) | node4(s110) | node5(s110) | (~node7(s110, s111)) | m_main_v_state1(s111, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s111, c_n1) | (~m_main_v_state1(s110, c_c1)) | node1(s110) | node2(s110) | node3(s110) | node4(s110) | node5(s110) | (~node7(s110, s111))))),
% 4.64/3.49 inference(monotonicity,[status(thm)],[9142])).
% 4.64/3.49 tff(9144,plain,
% 4.64/3.49 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s110, c_c1)) | node1(s110) | node2(s110) | node3(s110) | node4(s110) | node5(s110) | (~node7(s110, s111)) | m_main_v_state1(s111, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s111, c_n1) | (~m_main_v_state1(s110, c_c1)) | node1(s110) | node2(s110) | node3(s110) | node4(s110) | node5(s110) | (~node7(s110, s111)))),
% 4.64/3.49 inference(transitivity,[status(thm)],[9143, 9141])).
% 4.64/3.49 tff(9145,plain,
% 4.64/3.49 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s110, c_c1)) | node1(s110) | node2(s110) | node3(s110) | node4(s110) | node5(s110) | (~node7(s110, s111)) | m_main_v_state1(s111, c_n1))),
% 4.64/3.49 inference(quant_inst,[status(thm)],[])).
% 4.64/3.49 tff(9146,plain,
% 4.64/3.49 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s111, c_n1) | (~m_main_v_state1(s110, c_c1)) | node1(s110) | node2(s110) | node3(s110) | node4(s110) | node5(s110) | (~node7(s110, s111))),
% 4.64/3.49 inference(modus_ponens,[status(thm)],[9145, 9144])).
% 4.64/3.49 tff(9147,plain,
% 4.64/3.49 (m_main_v_state1(s111, c_n1) | (~m_main_v_state1(s110, c_c1)) | node1(s110) | node2(s110) | node3(s110) | node4(s110) | node5(s110)),
% 4.64/3.49 inference(unit_resolution,[status(thm)],[9146, 584, 9140])).
% 4.64/3.49 tff(9148,plain,
% 4.64/3.49 (m_main_v_state1(s111, c_n1)),
% 4.64/3.49 inference(unit_resolution,[status(thm)],[9147, 9129, 9084, 9121, 9117, 9109, 9092])).
% 4.64/3.49 tff(9149,plain,
% 4.64/3.49 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s109, c_t2) | (~node15(s109)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s109, c_t2) | (~node15(s109)))),
% 4.64/3.49 inference(rewrite,[status(thm)],[])).
% 4.64/3.49 tff(9150,plain,
% 4.64/3.49 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s109, c_t2) | (~node15(s109)))),
% 4.64/3.49 inference(quant_inst,[status(thm)],[])).
% 4.64/3.49 tff(9151,plain,
% 4.64/3.49 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s109, c_t2) | (~node15(s109))),
% 4.64/3.49 inference(modus_ponens,[status(thm)],[9150, 9149])).
% 4.64/3.49 tff(9152,plain,
% 4.64/3.49 (~node15(s109)),
% 4.64/3.49 inference(unit_resolution,[status(thm)],[9151, 103, 9061])).
% 4.64/3.49 tff(9153,plain,
% 4.64/3.49 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s109, s110)) | node18(s109, s110))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s109, s110)) | node18(s109, s110))),
% 4.64/3.49 inference(rewrite,[status(thm)],[])).
% 4.64/3.49 tff(9154,plain,
% 4.64/3.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s109, s110)) | node18(s109, s110))),
% 4.64/3.49 inference(quant_inst,[status(thm)],[])).
% 4.64/3.49 tff(9155,plain,
% 4.64/3.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s109, s110)) | node18(s109, s110)),
% 4.64/3.49 inference(modus_ponens,[status(thm)],[9154, 9153])).
% 4.64/3.49 tff(9156,plain,
% 4.64/3.49 (node18(s109, s110)),
% 4.64/3.49 inference(unit_resolution,[status(thm)],[9155, 125, 9072])).
% 4.64/3.49 tff(9157,plain,
% 4.64/3.49 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s109) | (~node18(s109, s110)) | (~m_main_v_state1(s109, c_t1)) | (~m_main_v_state2(s109, c_n2)) | m_main_v_turn(s110, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s109) | (~node18(s109, s110)) | (~m_main_v_state1(s109, c_t1)) | (~m_main_v_state2(s109, c_n2)) | m_main_v_turn(s110, c_1))),
% 4.64/3.49 inference(rewrite,[status(thm)],[])).
% 4.64/3.49 tff(9158,plain,
% 4.64/3.49 (((~m_main_v_state1(s109, c_t1)) | (~m_main_v_state2(s109, c_n2)) | node15(s109) | (~node18(s109, s110)) | m_main_v_turn(s110, c_1)) <=> (node15(s109) | (~node18(s109, s110)) | (~m_main_v_state1(s109, c_t1)) | (~m_main_v_state2(s109, c_n2)) | m_main_v_turn(s110, c_1))),
% 4.64/3.49 inference(rewrite,[status(thm)],[])).
% 4.64/3.49 tff(9159,plain,
% 4.64/3.49 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s109, c_t1)) | (~m_main_v_state2(s109, c_n2)) | node15(s109) | (~node18(s109, s110)) | m_main_v_turn(s110, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s109) | (~node18(s109, s110)) | (~m_main_v_state1(s109, c_t1)) | (~m_main_v_state2(s109, c_n2)) | m_main_v_turn(s110, c_1)))),
% 4.64/3.49 inference(monotonicity,[status(thm)],[9158])).
% 4.64/3.49 tff(9160,plain,
% 4.64/3.49 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s109, c_t1)) | (~m_main_v_state2(s109, c_n2)) | node15(s109) | (~node18(s109, s110)) | m_main_v_turn(s110, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s109) | (~node18(s109, s110)) | (~m_main_v_state1(s109, c_t1)) | (~m_main_v_state2(s109, c_n2)) | m_main_v_turn(s110, c_1))),
% 4.64/3.49 inference(transitivity,[status(thm)],[9159, 9157])).
% 4.64/3.49 tff(9161,plain,
% 4.64/3.49 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s109, c_t1)) | (~m_main_v_state2(s109, c_n2)) | node15(s109) | (~node18(s109, s110)) | m_main_v_turn(s110, c_1))),
% 4.64/3.49 inference(quant_inst,[status(thm)],[])).
% 4.64/3.49 tff(9162,plain,
% 4.64/3.49 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s109) | (~node18(s109, s110)) | (~m_main_v_state1(s109, c_t1)) | (~m_main_v_state2(s109, c_n2)) | m_main_v_turn(s110, c_1)),
% 4.64/3.49 inference(modus_ponens,[status(thm)],[9161, 9160])).
% 4.64/3.49 tff(9163,plain,
% 4.64/3.49 (node15(s109) | (~m_main_v_state1(s109, c_t1)) | (~m_main_v_state2(s109, c_n2)) | m_main_v_turn(s110, c_1)),
% 4.64/3.49 inference(unit_resolution,[status(thm)],[9162, 992, 9156])).
% 4.64/3.49 tff(9164,plain,
% 4.64/3.49 (m_main_v_turn(s110, c_1)),
% 4.64/3.49 inference(unit_resolution,[status(thm)],[9163, 9152, 8989, 9057])).
% 4.64/3.49 tff(9165,plain,
% 4.64/3.49 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s110, c_1)) | (~m_main_v_turn(s110, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s110, c_1)) | (~m_main_v_turn(s110, c_2)))),
% 4.64/3.49 inference(rewrite,[status(thm)],[])).
% 4.64/3.49 tff(9166,plain,
% 4.64/3.49 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s110, c_1)) | (~m_main_v_turn(s110, c_2)))),
% 4.64/3.49 inference(quant_inst,[status(thm)],[])).
% 4.64/3.49 tff(9167,plain,
% 4.64/3.49 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s110, c_1)) | (~m_main_v_turn(s110, c_2))),
% 4.64/3.49 inference(modus_ponens,[status(thm)],[9166, 9165])).
% 4.64/3.49 tff(9168,plain,
% 4.64/3.49 (~m_main_v_turn(s110, c_2)),
% 4.64/3.49 inference(unit_resolution,[status(thm)],[9167, 156, 9164])).
% 4.64/3.49 tff(9169,plain,
% 4.64/3.49 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s110, c_2) | (~node12(s110)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s110, c_2) | (~node12(s110)))),
% 4.64/3.49 inference(rewrite,[status(thm)],[])).
% 4.64/3.49 tff(9170,plain,
% 4.64/3.49 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s110, c_2) | (~node12(s110)))),
% 4.64/3.49 inference(quant_inst,[status(thm)],[])).
% 4.64/3.49 tff(9171,plain,
% 4.64/3.49 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s110, c_2) | (~node12(s110))),
% 4.64/3.49 inference(modus_ponens,[status(thm)],[9170, 9169])).
% 4.64/3.49 tff(9172,plain,
% 4.64/3.49 (~node12(s110)),
% 4.64/3.49 inference(unit_resolution,[status(thm)],[9171, 184, 9168])).
% 4.64/3.49 tff(9173,plain,
% 4.64/3.49 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s110, c_n2) | (~node8(s110)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s110, c_n2) | (~node8(s110)))),
% 4.64/3.49 inference(rewrite,[status(thm)],[])).
% 4.64/3.49 tff(9174,plain,
% 4.64/3.49 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s110, c_n2) | (~node8(s110)))),
% 4.64/3.49 inference(quant_inst,[status(thm)],[])).
% 4.64/3.49 tff(9175,plain,
% 4.64/3.49 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s110, c_n2) | (~node8(s110))),
% 4.64/3.49 inference(modus_ponens,[status(thm)],[9174, 9173])).
% 4.64/3.49 tff(9176,plain,
% 4.64/3.49 (~node8(s110)),
% 4.64/3.49 inference(unit_resolution,[status(thm)],[9175, 271, 9105])).
% 4.64/3.49 tff(9177,plain,
% 4.64/3.49 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s110, c_n2) | (~node9(s110)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s110, c_n2) | (~node9(s110)))),
% 4.64/3.49 inference(rewrite,[status(thm)],[])).
% 4.64/3.49 tff(9178,plain,
% 4.64/3.49 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s110, c_n2) | (~node9(s110)))),
% 4.64/3.49 inference(quant_inst,[status(thm)],[])).
% 4.64/3.49 tff(9179,plain,
% 4.64/3.49 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s110, c_n2) | (~node9(s110))),
% 4.64/3.49 inference(modus_ponens,[status(thm)],[9178, 9177])).
% 4.64/3.49 tff(9180,plain,
% 4.64/3.49 (~node9(s110)),
% 4.64/3.49 inference(unit_resolution,[status(thm)],[9179, 88, 9105])).
% 4.64/3.49 tff(9181,plain,
% 4.64/3.49 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s110, c_n2) | (~node10(s110)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s110, c_n2) | (~node10(s110)))),
% 4.64/3.49 inference(rewrite,[status(thm)],[])).
% 4.64/3.49 tff(9182,plain,
% 4.64/3.49 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s110, c_n2) | (~node10(s110)))),
% 4.64/3.49 inference(quant_inst,[status(thm)],[])).
% 4.64/3.49 tff(9183,plain,
% 4.64/3.49 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s110, c_n2) | (~node10(s110))),
% 4.64/3.49 inference(modus_ponens,[status(thm)],[9182, 9181])).
% 4.64/3.49 tff(9184,plain,
% 4.64/3.49 (~node10(s110)),
% 4.64/3.49 inference(unit_resolution,[status(thm)],[9183, 249, 9105])).
% 4.64/3.49 tff(9185,plain,
% 4.64/3.49 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s110, c_n1) | (~node11(s110)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s110, c_n1) | (~node11(s110)))),
% 4.64/3.49 inference(rewrite,[status(thm)],[])).
% 4.64/3.49 tff(9186,plain,
% 4.64/3.49 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s110, c_n1) | (~node11(s110)))),
% 4.64/3.49 inference(quant_inst,[status(thm)],[])).
% 4.64/3.49 tff(9187,plain,
% 4.64/3.49 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s110, c_n1) | (~node11(s110))),
% 4.64/3.49 inference(modus_ponens,[status(thm)],[9186, 9185])).
% 4.64/3.49 tff(9188,plain,
% 4.64/3.49 (~node11(s110)),
% 4.64/3.49 inference(unit_resolution,[status(thm)],[9187, 238, 9125])).
% 4.64/3.49 tff(9189,plain,
% 4.64/3.49 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s110, s111)) | node14(s110, s111))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s110, s111)) | node14(s110, s111))),
% 4.64/3.49 inference(rewrite,[status(thm)],[])).
% 4.64/3.49 tff(9190,plain,
% 4.64/3.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s110, s111)) | node14(s110, s111))),
% 4.64/3.49 inference(quant_inst,[status(thm)],[])).
% 4.64/3.49 tff(9191,plain,
% 4.64/3.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s110, s111)) | node14(s110, s111)),
% 4.64/3.49 inference(modus_ponens,[status(thm)],[9190, 9189])).
% 4.64/3.49 tff(9192,plain,
% 4.64/3.49 (node14(s110, s111)),
% 4.64/3.49 inference(unit_resolution,[status(thm)],[9191, 46, 9136])).
% 4.64/3.49 tff(9193,plain,
% 4.64/3.49 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s110, c_c2) | node9(s110) | node8(s110) | node10(s110) | node11(s110) | node12(s110) | node13(s110, s111) | (~node14(s110, s111)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s110, c_c2) | node9(s110) | node8(s110) | node10(s110) | node11(s110) | node12(s110) | node13(s110, s111) | (~node14(s110, s111)))),
% 4.64/3.49 inference(rewrite,[status(thm)],[])).
% 4.64/3.49 tff(9194,plain,
% 4.64/3.49 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s110, c_c2) | node9(s110) | node8(s110) | node10(s110) | node11(s110) | node12(s110) | node13(s110, s111) | (~node14(s110, s111)))),
% 4.64/3.49 inference(quant_inst,[status(thm)],[])).
% 4.64/3.49 tff(9195,plain,
% 4.64/3.49 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s110, c_c2) | node9(s110) | node8(s110) | node10(s110) | node11(s110) | node12(s110) | node13(s110, s111) | (~node14(s110, s111))),
% 4.64/3.49 inference(modus_ponens,[status(thm)],[9194, 9193])).
% 4.64/3.49 tff(9196,plain,
% 4.64/3.49 (m_main_v_state2(s110, c_c2) | node9(s110) | node8(s110) | node10(s110) | node11(s110) | node12(s110) | node13(s110, s111)),
% 4.64/3.49 inference(unit_resolution,[status(thm)],[9195, 296, 9192])).
% 4.64/3.49 tff(9197,plain,
% 4.64/3.49 (node13(s110, s111)),
% 4.64/3.49 inference(unit_resolution,[status(thm)],[9196, 9188, 9113, 9184, 9180, 9176, 9172])).
% 4.64/3.49 tff(9198,plain,
% 4.64/3.49 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s110, c_t2)) | m_main_v_state2(s111, c_t2) | (~node13(s110, s111)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s110, c_t2)) | m_main_v_state2(s111, c_t2) | (~node13(s110, s111)))),
% 4.64/3.49 inference(rewrite,[status(thm)],[])).
% 4.64/3.49 tff(9199,plain,
% 4.64/3.49 (((~node13(s110, s111)) | (~m_main_v_state2(s110, c_t2)) | m_main_v_state2(s111, c_t2)) <=> ((~m_main_v_state2(s110, c_t2)) | m_main_v_state2(s111, c_t2) | (~node13(s110, s111)))),
% 4.64/3.49 inference(rewrite,[status(thm)],[])).
% 4.64/3.49 tff(9200,plain,
% 4.64/3.49 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s110, s111)) | (~m_main_v_state2(s110, c_t2)) | m_main_v_state2(s111, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s110, c_t2)) | m_main_v_state2(s111, c_t2) | (~node13(s110, s111))))),
% 4.64/3.49 inference(monotonicity,[status(thm)],[9199])).
% 4.64/3.49 tff(9201,plain,
% 4.64/3.49 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s110, s111)) | (~m_main_v_state2(s110, c_t2)) | m_main_v_state2(s111, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s110, c_t2)) | m_main_v_state2(s111, c_t2) | (~node13(s110, s111)))),
% 4.64/3.49 inference(transitivity,[status(thm)],[9200, 9198])).
% 4.64/3.49 tff(9202,plain,
% 4.64/3.49 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s110, s111)) | (~m_main_v_state2(s110, c_t2)) | m_main_v_state2(s111, c_t2))),
% 4.64/3.49 inference(quant_inst,[status(thm)],[])).
% 4.64/3.49 tff(9203,plain,
% 4.64/3.49 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s110, c_t2)) | m_main_v_state2(s111, c_t2) | (~node13(s110, s111))),
% 4.64/3.49 inference(modus_ponens,[status(thm)],[9202, 9201])).
% 4.64/3.49 tff(9204,plain,
% 4.64/3.49 (m_main_v_state2(s111, c_t2)),
% 4.64/3.49 inference(unit_resolution,[status(thm)],[9203, 518, 9101, 9197])).
% 4.64/3.49 tff(9205,plain,
% 4.64/3.49 (succ(s111, s112) <=> succ(s111, s112)),
% 4.64/3.49 inference(rewrite,[status(thm)],[])).
% 4.64/3.49 tff(9206,axiom,(succ(s111, s112)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound112')).
% 4.64/3.49 tff(9207,plain,
% 4.64/3.49 (succ(s111, s112)),
% 4.64/3.49 inference(modus_ponens,[status(thm)],[9206, 9205])).
% 4.64/3.49 tff(9208,plain,
% 4.64/3.49 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s111, s112)) | trans(s111, s112))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s111, s112)) | trans(s111, s112))),
% 4.64/3.49 inference(rewrite,[status(thm)],[])).
% 4.64/3.49 tff(9209,plain,
% 4.64/3.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s111, s112)) | trans(s111, s112))),
% 4.64/3.49 inference(quant_inst,[status(thm)],[])).
% 4.64/3.49 tff(9210,plain,
% 4.64/3.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s111, s112)) | trans(s111, s112)),
% 4.64/3.49 inference(modus_ponens,[status(thm)],[9209, 9208])).
% 4.64/3.49 tff(9211,plain,
% 4.64/3.49 (trans(s111, s112)),
% 4.64/3.49 inference(unit_resolution,[status(thm)],[9210, 9207, 32])).
% 4.64/3.49 tff(9212,plain,
% 4.64/3.49 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s111, s112)) | node7(s111, s112))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s111, s112)) | node7(s111, s112))),
% 4.64/3.49 inference(rewrite,[status(thm)],[])).
% 4.64/3.49 tff(9213,plain,
% 4.64/3.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s111, s112)) | node7(s111, s112))),
% 4.64/3.49 inference(quant_inst,[status(thm)],[])).
% 4.64/3.49 tff(9214,plain,
% 4.64/3.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s111, s112)) | node7(s111, s112)),
% 4.64/3.50 inference(modus_ponens,[status(thm)],[9213, 9212])).
% 4.64/3.50 tff(9215,plain,
% 4.64/3.50 (node7(s111, s112)),
% 4.64/3.50 inference(unit_resolution,[status(thm)],[9214, 206, 9211])).
% 4.64/3.50 tff(9216,plain,
% 4.64/3.50 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s111, c_n1)) | (~m_main_v_state2(s111, c_t2)) | (~node7(s111, s112)) | m_main_v_state1(s112, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s111, c_n1)) | (~m_main_v_state2(s111, c_t2)) | (~node7(s111, s112)) | m_main_v_state1(s112, c_t1))),
% 4.64/3.50 inference(rewrite,[status(thm)],[])).
% 4.64/3.50 tff(9217,plain,
% 4.64/3.50 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s111, c_n1)) | (~m_main_v_state2(s111, c_t2)) | (~node7(s111, s112)) | m_main_v_state1(s112, c_t1))),
% 4.64/3.50 inference(quant_inst,[status(thm)],[])).
% 4.64/3.50 tff(9218,plain,
% 4.64/3.50 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s111, c_n1)) | (~m_main_v_state2(s111, c_t2)) | (~node7(s111, s112)) | m_main_v_state1(s112, c_t1)),
% 4.64/3.50 inference(modus_ponens,[status(thm)],[9217, 9216])).
% 4.64/3.50 tff(9219,plain,
% 4.64/3.50 ((~m_main_v_state1(s111, c_n1)) | (~m_main_v_state2(s111, c_t2)) | m_main_v_state1(s112, c_t1)),
% 4.64/3.50 inference(unit_resolution,[status(thm)],[9218, 651, 9215])).
% 4.64/3.50 tff(9220,plain,
% 4.64/3.50 (m_main_v_state1(s112, c_t1)),
% 4.64/3.50 inference(unit_resolution,[status(thm)],[9219, 9204, 9148])).
% 4.64/3.50 tff(9221,plain,
% 4.64/3.50 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s112, c_n1)) | (~m_main_v_state1(s112, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s112, c_n1)) | (~m_main_v_state1(s112, c_t1)))),
% 4.64/3.50 inference(rewrite,[status(thm)],[])).
% 4.64/3.50 tff(9222,plain,
% 4.64/3.50 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s112, c_n1)) | (~m_main_v_state1(s112, c_t1)))),
% 4.64/3.50 inference(quant_inst,[status(thm)],[])).
% 4.64/3.50 tff(9223,plain,
% 4.64/3.50 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s112, c_n1)) | (~m_main_v_state1(s112, c_t1))),
% 4.64/3.50 inference(modus_ponens,[status(thm)],[9222, 9221])).
% 4.64/3.50 tff(9224,plain,
% 4.64/3.50 (~m_main_v_state1(s112, c_n1)),
% 4.64/3.50 inference(unit_resolution,[status(thm)],[9223, 10, 9220])).
% 4.64/3.50 tff(9225,plain,
% 4.64/3.50 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s112, c_n1) | (~node1(s112)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s112, c_n1) | (~node1(s112)))),
% 4.64/3.50 inference(rewrite,[status(thm)],[])).
% 4.64/3.50 tff(9226,plain,
% 4.64/3.50 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s112, c_n1) | (~node1(s112)))),
% 4.64/3.50 inference(quant_inst,[status(thm)],[])).
% 4.64/3.50 tff(9227,plain,
% 4.64/3.50 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s112, c_n1) | (~node1(s112))),
% 4.64/3.50 inference(modus_ponens,[status(thm)],[9226, 9225])).
% 4.64/3.50 tff(9228,plain,
% 4.64/3.50 (~node1(s112)),
% 4.64/3.50 inference(unit_resolution,[status(thm)],[9227, 421, 9224])).
% 4.64/3.50 tff(9229,plain,
% 4.64/3.50 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s111, s112)) | node18(s111, s112))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s111, s112)) | node18(s111, s112))),
% 4.64/3.50 inference(rewrite,[status(thm)],[])).
% 4.64/3.50 tff(9230,plain,
% 4.64/3.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s111, s112)) | node18(s111, s112))),
% 4.64/3.50 inference(quant_inst,[status(thm)],[])).
% 4.64/3.50 tff(9231,plain,
% 4.64/3.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s111, s112)) | node18(s111, s112)),
% 4.64/3.50 inference(modus_ponens,[status(thm)],[9230, 9229])).
% 4.64/3.50 tff(9232,plain,
% 4.64/3.50 (node18(s111, s112)),
% 4.64/3.50 inference(unit_resolution,[status(thm)],[9231, 125, 9211])).
% 4.64/3.50 tff(9233,plain,
% 4.64/3.50 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s111, c_n1)) | (~m_main_v_state2(s111, c_t2)) | (~node18(s111, s112)) | m_main_v_turn(s112, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s111, c_n1)) | (~m_main_v_state2(s111, c_t2)) | (~node18(s111, s112)) | m_main_v_turn(s112, c_2))),
% 4.64/3.50 inference(rewrite,[status(thm)],[])).
% 4.64/3.50 tff(9234,plain,
% 4.64/3.50 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s111, c_n1)) | (~m_main_v_state2(s111, c_t2)) | (~node18(s111, s112)) | m_main_v_turn(s112, c_2))),
% 4.64/3.50 inference(quant_inst,[status(thm)],[])).
% 4.64/3.50 tff(9235,plain,
% 4.64/3.50 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s111, c_n1)) | (~m_main_v_state2(s111, c_t2)) | (~node18(s111, s112)) | m_main_v_turn(s112, c_2)),
% 4.64/3.50 inference(modus_ponens,[status(thm)],[9234, 9233])).
% 4.64/3.50 tff(9236,plain,
% 4.64/3.50 ((~m_main_v_state1(s111, c_n1)) | (~m_main_v_state2(s111, c_t2)) | m_main_v_turn(s112, c_2)),
% 4.64/3.50 inference(unit_resolution,[status(thm)],[9235, 760, 9232])).
% 4.64/3.50 tff(9237,plain,
% 4.64/3.50 (m_main_v_turn(s112, c_2)),
% 4.64/3.50 inference(unit_resolution,[status(thm)],[9236, 9204, 9148])).
% 4.64/3.50 tff(9238,plain,
% 4.64/3.50 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s112, c_1)) | (~m_main_v_turn(s112, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s112, c_1)) | (~m_main_v_turn(s112, c_2)))),
% 4.64/3.50 inference(rewrite,[status(thm)],[])).
% 4.64/3.50 tff(9239,plain,
% 4.64/3.50 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s112, c_1)) | (~m_main_v_turn(s112, c_2)))),
% 4.64/3.50 inference(quant_inst,[status(thm)],[])).
% 4.64/3.50 tff(9240,plain,
% 4.64/3.50 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s112, c_1)) | (~m_main_v_turn(s112, c_2))),
% 4.64/3.50 inference(modus_ponens,[status(thm)],[9239, 9238])).
% 4.64/3.50 tff(9241,plain,
% 4.64/3.50 (~m_main_v_turn(s112, c_1)),
% 4.64/3.50 inference(unit_resolution,[status(thm)],[9240, 156, 9237])).
% 4.64/3.50 tff(9242,plain,
% 4.64/3.50 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s112, c_1) | (~node5(s112)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s112, c_1) | (~node5(s112)))),
% 4.64/3.50 inference(rewrite,[status(thm)],[])).
% 4.64/3.50 tff(9243,plain,
% 4.64/3.50 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s112, c_1) | (~node5(s112)))),
% 4.64/3.50 inference(quant_inst,[status(thm)],[])).
% 4.64/3.50 tff(9244,plain,
% 4.64/3.50 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s112, c_1) | (~node5(s112))),
% 4.64/3.50 inference(modus_ponens,[status(thm)],[9243, 9242])).
% 4.64/3.50 tff(9245,plain,
% 4.64/3.50 (~node5(s112)),
% 4.64/3.50 inference(unit_resolution,[status(thm)],[9244, 776, 9241])).
% 4.64/3.50 tff(9246,plain,
% 4.64/3.50 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s112, c_n1) | (~node2(s112)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s112, c_n1) | (~node2(s112)))),
% 4.64/3.50 inference(rewrite,[status(thm)],[])).
% 4.64/3.50 tff(9247,plain,
% 4.64/3.50 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s112, c_n1) | (~node2(s112)))),
% 4.64/3.50 inference(quant_inst,[status(thm)],[])).
% 4.64/3.50 tff(9248,plain,
% 4.64/3.50 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s112, c_n1) | (~node2(s112))),
% 4.64/3.50 inference(modus_ponens,[status(thm)],[9247, 9246])).
% 4.64/3.50 tff(9249,plain,
% 4.64/3.50 (~node2(s112)),
% 4.64/3.50 inference(unit_resolution,[status(thm)],[9248, 787, 9224])).
% 4.64/3.50 tff(9250,plain,
% 4.64/3.50 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s112, c_n1) | (~node3(s112)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s112, c_n1) | (~node3(s112)))),
% 4.64/3.50 inference(rewrite,[status(thm)],[])).
% 4.64/3.50 tff(9251,plain,
% 4.64/3.50 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s112, c_n1) | (~node3(s112)))),
% 4.64/3.50 inference(quant_inst,[status(thm)],[])).
% 4.64/3.50 tff(9252,plain,
% 4.64/3.50 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s112, c_n1) | (~node3(s112))),
% 4.64/3.50 inference(modus_ponens,[status(thm)],[9251, 9250])).
% 4.64/3.50 tff(9253,plain,
% 4.64/3.50 (~node3(s112)),
% 4.64/3.50 inference(unit_resolution,[status(thm)],[9252, 798, 9224])).
% 4.64/3.50 tff(9254,plain,
% 4.64/3.50 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s112, c_t1)) | (~m_main_v_state1(s112, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s112, c_t1)) | (~m_main_v_state1(s112, c_c1)))),
% 4.64/3.50 inference(rewrite,[status(thm)],[])).
% 4.64/3.50 tff(9255,plain,
% 4.64/3.50 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s112, c_t1)) | (~m_main_v_state1(s112, c_c1)))),
% 4.64/3.50 inference(quant_inst,[status(thm)],[])).
% 4.64/3.50 tff(9256,plain,
% 4.64/3.50 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s112, c_t1)) | (~m_main_v_state1(s112, c_c1))),
% 4.64/3.50 inference(modus_ponens,[status(thm)],[9255, 9254])).
% 4.64/3.50 tff(9257,plain,
% 4.64/3.50 (~m_main_v_state1(s112, c_c1)),
% 4.64/3.50 inference(unit_resolution,[status(thm)],[9256, 539, 9220])).
% 4.64/3.50 tff(9258,plain,
% 4.64/3.50 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s110, c_n2) | (~m_main_v_state2(s111, c_n2)) | (~node13(s110, s111)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s110, c_n2) | (~m_main_v_state2(s111, c_n2)) | (~node13(s110, s111)))),
% 4.64/3.50 inference(rewrite,[status(thm)],[])).
% 4.64/3.50 tff(9259,plain,
% 4.64/3.50 (((~node13(s110, s111)) | m_main_v_state2(s110, c_n2) | (~m_main_v_state2(s111, c_n2))) <=> (m_main_v_state2(s110, c_n2) | (~m_main_v_state2(s111, c_n2)) | (~node13(s110, s111)))),
% 4.64/3.50 inference(rewrite,[status(thm)],[])).
% 4.64/3.50 tff(9260,plain,
% 4.64/3.50 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s110, s111)) | m_main_v_state2(s110, c_n2) | (~m_main_v_state2(s111, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s110, c_n2) | (~m_main_v_state2(s111, c_n2)) | (~node13(s110, s111))))),
% 4.64/3.50 inference(monotonicity,[status(thm)],[9259])).
% 4.64/3.50 tff(9261,plain,
% 4.64/3.50 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s110, s111)) | m_main_v_state2(s110, c_n2) | (~m_main_v_state2(s111, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s110, c_n2) | (~m_main_v_state2(s111, c_n2)) | (~node13(s110, s111)))),
% 4.64/3.50 inference(transitivity,[status(thm)],[9260, 9258])).
% 4.64/3.50 tff(9262,plain,
% 4.64/3.50 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s110, s111)) | m_main_v_state2(s110, c_n2) | (~m_main_v_state2(s111, c_n2)))),
% 4.64/3.50 inference(quant_inst,[status(thm)],[])).
% 4.64/3.50 tff(9263,plain,
% 4.64/3.50 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s110, c_n2) | (~m_main_v_state2(s111, c_n2)) | (~node13(s110, s111))),
% 4.64/3.50 inference(modus_ponens,[status(thm)],[9262, 9261])).
% 4.64/3.50 tff(9264,plain,
% 4.64/3.50 (~m_main_v_state2(s111, c_n2)),
% 4.64/3.50 inference(unit_resolution,[status(thm)],[9263, 311, 9105, 9197])).
% 4.64/3.50 tff(9265,plain,
% 4.64/3.50 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s111, c_n2) | (~node9(s111)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s111, c_n2) | (~node9(s111)))),
% 4.64/3.50 inference(rewrite,[status(thm)],[])).
% 4.64/3.50 tff(9266,plain,
% 4.64/3.50 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s111, c_n2) | (~node9(s111)))),
% 4.64/3.50 inference(quant_inst,[status(thm)],[])).
% 4.64/3.50 tff(9267,plain,
% 4.64/3.50 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s111, c_n2) | (~node9(s111))),
% 4.64/3.50 inference(modus_ponens,[status(thm)],[9266, 9265])).
% 4.64/3.50 tff(9268,plain,
% 4.64/3.50 (~node9(s111)),
% 4.64/3.50 inference(unit_resolution,[status(thm)],[9267, 88, 9264])).
% 4.64/3.50 tff(9269,plain,
% 4.64/3.50 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s111, c_n2) | (~node10(s111)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s111, c_n2) | (~node10(s111)))),
% 4.64/3.50 inference(rewrite,[status(thm)],[])).
% 4.64/3.50 tff(9270,plain,
% 4.64/3.50 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s111, c_n2) | (~node10(s111)))),
% 4.64/3.50 inference(quant_inst,[status(thm)],[])).
% 4.64/3.50 tff(9271,plain,
% 4.64/3.50 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s111, c_n2) | (~node10(s111))),
% 4.64/3.50 inference(modus_ponens,[status(thm)],[9270, 9269])).
% 4.64/3.50 tff(9272,plain,
% 4.64/3.50 (~node10(s111)),
% 4.64/3.50 inference(unit_resolution,[status(thm)],[9271, 249, 9264])).
% 4.64/3.50 tff(9273,plain,
% 4.64/3.50 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s111, c_n2) | (~node8(s111)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s111, c_n2) | (~node8(s111)))),
% 4.64/3.50 inference(rewrite,[status(thm)],[])).
% 4.64/3.50 tff(9274,plain,
% 4.64/3.50 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s111, c_n2) | (~node8(s111)))),
% 4.64/3.50 inference(quant_inst,[status(thm)],[])).
% 4.64/3.50 tff(9275,plain,
% 4.64/3.50 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s111, c_n2) | (~node8(s111))),
% 4.64/3.50 inference(modus_ponens,[status(thm)],[9274, 9273])).
% 4.64/3.50 tff(9276,plain,
% 4.64/3.50 (~node8(s111)),
% 4.64/3.50 inference(unit_resolution,[status(thm)],[9275, 271, 9264])).
% 4.64/3.50 tff(9277,plain,
% 4.64/3.50 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s111, s112)) | node14(s111, s112))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s111, s112)) | node14(s111, s112))),
% 4.64/3.50 inference(rewrite,[status(thm)],[])).
% 4.64/3.50 tff(9278,plain,
% 4.64/3.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s111, s112)) | node14(s111, s112))),
% 4.64/3.50 inference(quant_inst,[status(thm)],[])).
% 4.64/3.50 tff(9279,plain,
% 4.64/3.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s111, s112)) | node14(s111, s112)),
% 4.64/3.50 inference(modus_ponens,[status(thm)],[9278, 9277])).
% 4.64/3.50 tff(9280,plain,
% 4.64/3.50 (node14(s111, s112)),
% 4.64/3.50 inference(unit_resolution,[status(thm)],[9279, 46, 9211])).
% 4.64/3.50 tff(9281,plain,
% 4.64/3.50 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s111, c_n1)) | (~m_main_v_state2(s111, c_t2)) | node9(s111) | node8(s111) | node10(s111) | (~node14(s111, s112)) | m_main_v_state2(s112, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s111, c_n1)) | (~m_main_v_state2(s111, c_t2)) | node9(s111) | node8(s111) | node10(s111) | (~node14(s111, s112)) | m_main_v_state2(s112, c_c2))),
% 4.64/3.50 inference(rewrite,[status(thm)],[])).
% 4.64/3.50 tff(9282,plain,
% 4.64/3.50 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s111, c_n1)) | (~m_main_v_state2(s111, c_t2)) | node9(s111) | node8(s111) | node10(s111) | (~node14(s111, s112)) | m_main_v_state2(s112, c_c2))),
% 4.64/3.50 inference(quant_inst,[status(thm)],[])).
% 4.64/3.50 tff(9283,plain,
% 4.64/3.50 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s111, c_n1)) | (~m_main_v_state2(s111, c_t2)) | node9(s111) | node8(s111) | node10(s111) | (~node14(s111, s112)) | m_main_v_state2(s112, c_c2)),
% 4.64/3.50 inference(modus_ponens,[status(thm)],[9282, 9281])).
% 4.64/3.50 tff(9284,plain,
% 4.64/3.50 ((~m_main_v_state1(s111, c_n1)) | (~m_main_v_state2(s111, c_t2)) | node9(s111) | node8(s111) | node10(s111) | m_main_v_state2(s112, c_c2)),
% 4.64/3.50 inference(unit_resolution,[status(thm)],[9283, 617, 9280])).
% 4.64/3.50 tff(9285,plain,
% 4.64/3.50 (m_main_v_state2(s112, c_c2)),
% 4.64/3.50 inference(unit_resolution,[status(thm)],[9284, 9276, 9148, 9204, 9272, 9268])).
% 4.64/3.50 tff(9286,plain,
% 4.64/3.50 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s112, c_n2)) | (~m_main_v_state2(s112, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s112, c_n2)) | (~m_main_v_state2(s112, c_c2)))),
% 4.64/3.50 inference(rewrite,[status(thm)],[])).
% 4.64/3.50 tff(9287,plain,
% 4.64/3.50 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s112, c_n2)) | (~m_main_v_state2(s112, c_c2)))),
% 4.64/3.50 inference(quant_inst,[status(thm)],[])).
% 4.64/3.50 tff(9288,plain,
% 4.64/3.50 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s112, c_n2)) | (~m_main_v_state2(s112, c_c2))),
% 4.64/3.50 inference(modus_ponens,[status(thm)],[9287, 9286])).
% 4.64/3.50 tff(9289,plain,
% 4.64/3.50 (~m_main_v_state2(s112, c_n2)),
% 4.64/3.50 inference(unit_resolution,[status(thm)],[9288, 697, 9285])).
% 4.64/3.50 tff(9290,plain,
% 4.64/3.50 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s112, c_n2) | (~node4(s112)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s112, c_n2) | (~node4(s112)))),
% 4.64/3.50 inference(rewrite,[status(thm)],[])).
% 4.64/3.50 tff(9291,plain,
% 4.64/3.50 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s112, c_n2) | (~node4(s112)))),
% 4.64/3.50 inference(quant_inst,[status(thm)],[])).
% 4.64/3.50 tff(9292,plain,
% 4.64/3.50 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s112, c_n2) | (~node4(s112))),
% 4.64/3.50 inference(modus_ponens,[status(thm)],[9291, 9290])).
% 4.64/3.50 tff(9293,plain,
% 4.64/3.50 (~node4(s112)),
% 4.64/3.50 inference(unit_resolution,[status(thm)],[9292, 388, 9289])).
% 4.64/3.50 tff(9294,plain,
% 4.64/3.50 (succ(s112, s113) <=> succ(s112, s113)),
% 4.64/3.50 inference(rewrite,[status(thm)],[])).
% 4.64/3.50 tff(9295,axiom,(succ(s112, s113)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound113')).
% 4.64/3.50 tff(9296,plain,
% 4.64/3.50 (succ(s112, s113)),
% 4.64/3.50 inference(modus_ponens,[status(thm)],[9295, 9294])).
% 4.64/3.50 tff(9297,plain,
% 4.64/3.50 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s112, s113)) | trans(s112, s113))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s112, s113)) | trans(s112, s113))),
% 4.64/3.50 inference(rewrite,[status(thm)],[])).
% 4.64/3.50 tff(9298,plain,
% 4.64/3.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s112, s113)) | trans(s112, s113))),
% 4.64/3.50 inference(quant_inst,[status(thm)],[])).
% 4.64/3.50 tff(9299,plain,
% 4.64/3.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s112, s113)) | trans(s112, s113)),
% 4.64/3.50 inference(modus_ponens,[status(thm)],[9298, 9297])).
% 4.64/3.50 tff(9300,plain,
% 4.64/3.50 (trans(s112, s113)),
% 4.64/3.50 inference(unit_resolution,[status(thm)],[9299, 9296, 32])).
% 4.64/3.50 tff(9301,plain,
% 4.64/3.50 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s112, s113)) | node7(s112, s113))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s112, s113)) | node7(s112, s113))),
% 4.64/3.50 inference(rewrite,[status(thm)],[])).
% 4.64/3.50 tff(9302,plain,
% 4.64/3.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s112, s113)) | node7(s112, s113))),
% 4.64/3.50 inference(quant_inst,[status(thm)],[])).
% 4.64/3.50 tff(9303,plain,
% 4.64/3.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s112, s113)) | node7(s112, s113)),
% 4.64/3.50 inference(modus_ponens,[status(thm)],[9302, 9301])).
% 4.64/3.50 tff(9304,plain,
% 4.64/3.50 (node7(s112, s113)),
% 4.64/3.50 inference(unit_resolution,[status(thm)],[9303, 206, 9300])).
% 4.64/3.50 tff(9305,plain,
% 4.64/3.50 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s112, c_c1) | node1(s112) | node2(s112) | node3(s112) | node4(s112) | node5(s112) | node6(s112, s113) | (~node7(s112, s113)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s112, c_c1) | node1(s112) | node2(s112) | node3(s112) | node4(s112) | node5(s112) | node6(s112, s113) | (~node7(s112, s113)))),
% 4.64/3.50 inference(rewrite,[status(thm)],[])).
% 4.64/3.50 tff(9306,plain,
% 4.64/3.50 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s112, c_c1) | node1(s112) | node2(s112) | node3(s112) | node4(s112) | node5(s112) | node6(s112, s113) | (~node7(s112, s113)))),
% 4.64/3.50 inference(quant_inst,[status(thm)],[])).
% 4.64/3.50 tff(9307,plain,
% 4.64/3.50 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s112, c_c1) | node1(s112) | node2(s112) | node3(s112) | node4(s112) | node5(s112) | node6(s112, s113) | (~node7(s112, s113))),
% 4.64/3.50 inference(modus_ponens,[status(thm)],[9306, 9305])).
% 4.64/3.50 tff(9308,plain,
% 4.64/3.50 (m_main_v_state1(s112, c_c1) | node1(s112) | node2(s112) | node3(s112) | node4(s112) | node5(s112) | node6(s112, s113)),
% 4.64/3.50 inference(unit_resolution,[status(thm)],[9307, 820, 9304])).
% 4.64/3.50 tff(9309,plain,
% 4.64/3.50 (node6(s112, s113)),
% 4.64/3.50 inference(unit_resolution,[status(thm)],[9308, 9293, 9257, 9253, 9249, 9245, 9228])).
% 4.64/3.50 tff(9310,plain,
% 4.64/3.50 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s112, c_t1)) | m_main_v_state1(s113, c_t1) | (~node6(s112, s113)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s112, c_t1)) | m_main_v_state1(s113, c_t1) | (~node6(s112, s113)))),
% 4.64/3.50 inference(rewrite,[status(thm)],[])).
% 4.64/3.50 tff(9311,plain,
% 4.64/3.50 (((~node6(s112, s113)) | (~m_main_v_state1(s112, c_t1)) | m_main_v_state1(s113, c_t1)) <=> ((~m_main_v_state1(s112, c_t1)) | m_main_v_state1(s113, c_t1) | (~node6(s112, s113)))),
% 4.64/3.50 inference(rewrite,[status(thm)],[])).
% 4.64/3.50 tff(9312,plain,
% 4.64/3.50 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s112, s113)) | (~m_main_v_state1(s112, c_t1)) | m_main_v_state1(s113, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s112, c_t1)) | m_main_v_state1(s113, c_t1) | (~node6(s112, s113))))),
% 4.64/3.50 inference(monotonicity,[status(thm)],[9311])).
% 4.64/3.50 tff(9313,plain,
% 4.64/3.50 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s112, s113)) | (~m_main_v_state1(s112, c_t1)) | m_main_v_state1(s113, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s112, c_t1)) | m_main_v_state1(s113, c_t1) | (~node6(s112, s113)))),
% 4.64/3.50 inference(transitivity,[status(thm)],[9312, 9310])).
% 4.64/3.50 tff(9314,plain,
% 4.64/3.50 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s112, s113)) | (~m_main_v_state1(s112, c_t1)) | m_main_v_state1(s113, c_t1))),
% 4.64/3.50 inference(quant_inst,[status(thm)],[])).
% 4.64/3.50 tff(9315,plain,
% 4.64/3.50 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s112, c_t1)) | m_main_v_state1(s113, c_t1) | (~node6(s112, s113))),
% 4.64/3.50 inference(modus_ponens,[status(thm)],[9314, 9313])).
% 4.64/3.50 tff(9316,plain,
% 4.64/3.50 (m_main_v_state1(s113, c_t1)),
% 4.64/3.50 inference(unit_resolution,[status(thm)],[9315, 856, 9220, 9309])).
% 4.64/3.50 tff(9317,plain,
% 4.64/3.50 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s112, c_t2)) | (~m_main_v_state2(s112, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s112, c_t2)) | (~m_main_v_state2(s112, c_c2)))),
% 4.64/3.50 inference(rewrite,[status(thm)],[])).
% 4.64/3.50 tff(9318,plain,
% 4.64/3.50 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s112, c_t2)) | (~m_main_v_state2(s112, c_c2)))),
% 4.64/3.50 inference(quant_inst,[status(thm)],[])).
% 4.64/3.50 tff(9319,plain,
% 4.64/3.50 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s112, c_t2)) | (~m_main_v_state2(s112, c_c2))),
% 4.64/3.50 inference(modus_ponens,[status(thm)],[9318, 9317])).
% 4.64/3.50 tff(9320,plain,
% 4.64/3.50 (~m_main_v_state2(s112, c_t2)),
% 4.64/3.50 inference(unit_resolution,[status(thm)],[9319, 260, 9285])).
% 4.64/3.50 tff(9321,plain,
% 4.64/3.50 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s112, c_t2) | (~node12(s112)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s112, c_t2) | (~node12(s112)))),
% 4.64/3.50 inference(rewrite,[status(thm)],[])).
% 4.64/3.50 tff(9322,plain,
% 4.64/3.50 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s112, c_t2) | (~node12(s112)))),
% 4.64/3.50 inference(quant_inst,[status(thm)],[])).
% 4.64/3.50 tff(9323,plain,
% 4.64/3.50 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s112, c_t2) | (~node12(s112))),
% 4.64/3.50 inference(modus_ponens,[status(thm)],[9322, 9321])).
% 4.64/3.50 tff(9324,plain,
% 4.64/3.50 (~node12(s112)),
% 4.64/3.50 inference(unit_resolution,[status(thm)],[9323, 633, 9320])).
% 4.64/3.50 tff(9325,plain,
% 4.64/3.50 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s112, c_n1) | (~node11(s112)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s112, c_n1) | (~node11(s112)))),
% 4.64/3.50 inference(rewrite,[status(thm)],[])).
% 4.64/3.50 tff(9326,plain,
% 4.64/3.50 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s112, c_n1) | (~node11(s112)))),
% 4.64/3.50 inference(quant_inst,[status(thm)],[])).
% 4.64/3.50 tff(9327,plain,
% 4.64/3.50 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s112, c_n1) | (~node11(s112))),
% 4.64/3.50 inference(modus_ponens,[status(thm)],[9326, 9325])).
% 4.64/3.50 tff(9328,plain,
% 4.64/3.50 (~node11(s112)),
% 4.64/3.50 inference(unit_resolution,[status(thm)],[9327, 238, 9224])).
% 4.64/3.50 tff(9329,plain,
% 4.64/3.50 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s112, c_c1) | (~node10(s112)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s112, c_c1) | (~node10(s112)))),
% 4.64/3.50 inference(rewrite,[status(thm)],[])).
% 4.64/3.50 tff(9330,plain,
% 4.64/3.50 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s112, c_c1) | (~node10(s112)))),
% 4.64/3.50 inference(quant_inst,[status(thm)],[])).
% 4.64/3.50 tff(9331,plain,
% 4.64/3.50 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s112, c_c1) | (~node10(s112))),
% 4.64/3.50 inference(modus_ponens,[status(thm)],[9330, 9329])).
% 4.64/3.50 tff(9332,plain,
% 4.64/3.50 (~node10(s112)),
% 4.64/3.50 inference(unit_resolution,[status(thm)],[9331, 675, 9257])).
% 4.64/3.50 tff(9333,plain,
% 4.64/3.50 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s112, c_n1) | (~node9(s112)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s112, c_n1) | (~node9(s112)))),
% 4.64/3.50 inference(rewrite,[status(thm)],[])).
% 4.64/3.50 tff(9334,plain,
% 4.64/3.50 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s112, c_n1) | (~node9(s112)))),
% 4.64/3.50 inference(quant_inst,[status(thm)],[])).
% 4.64/3.50 tff(9335,plain,
% 4.64/3.50 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s112, c_n1) | (~node9(s112))),
% 4.64/3.50 inference(modus_ponens,[status(thm)],[9334, 9333])).
% 4.64/3.50 tff(9336,plain,
% 4.64/3.50 (~node9(s112)),
% 4.64/3.50 inference(unit_resolution,[status(thm)],[9335, 686, 9224])).
% 4.64/3.50 tff(9337,plain,
% 4.64/3.50 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s112, c_n2) | (~node8(s112)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s112, c_n2) | (~node8(s112)))),
% 4.64/3.50 inference(rewrite,[status(thm)],[])).
% 4.64/3.50 tff(9338,plain,
% 4.64/3.50 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s112, c_n2) | (~node8(s112)))),
% 4.64/3.50 inference(quant_inst,[status(thm)],[])).
% 4.64/3.50 tff(9339,plain,
% 4.64/3.50 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s112, c_n2) | (~node8(s112))),
% 4.64/3.50 inference(modus_ponens,[status(thm)],[9338, 9337])).
% 4.64/3.50 tff(9340,plain,
% 4.64/3.50 (~node8(s112)),
% 4.64/3.50 inference(unit_resolution,[status(thm)],[9339, 271, 9289])).
% 4.64/3.50 tff(9341,plain,
% 4.64/3.50 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s112, s113)) | node14(s112, s113))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s112, s113)) | node14(s112, s113))),
% 4.64/3.50 inference(rewrite,[status(thm)],[])).
% 4.64/3.51 tff(9342,plain,
% 4.64/3.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s112, s113)) | node14(s112, s113))),
% 4.64/3.51 inference(quant_inst,[status(thm)],[])).
% 4.64/3.51 tff(9343,plain,
% 4.64/3.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s112, s113)) | node14(s112, s113)),
% 4.64/3.51 inference(modus_ponens,[status(thm)],[9342, 9341])).
% 4.64/3.51 tff(9344,plain,
% 4.64/3.51 (node14(s112, s113)),
% 4.64/3.51 inference(unit_resolution,[status(thm)],[9343, 46, 9300])).
% 4.64/3.51 tff(9345,plain,
% 4.64/3.51 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s113, c_n2) | node9(s112) | node8(s112) | node10(s112) | node11(s112) | node12(s112) | (~node14(s112, s113)) | (~m_main_v_state2(s112, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s113, c_n2) | node9(s112) | node8(s112) | node10(s112) | node11(s112) | node12(s112) | (~node14(s112, s113)) | (~m_main_v_state2(s112, c_c2)))),
% 4.64/3.51 inference(rewrite,[status(thm)],[])).
% 4.64/3.51 tff(9346,plain,
% 4.64/3.51 (((~m_main_v_state2(s112, c_c2)) | node9(s112) | node8(s112) | node10(s112) | node11(s112) | node12(s112) | (~node14(s112, s113)) | m_main_v_state2(s113, c_n2)) <=> (m_main_v_state2(s113, c_n2) | node9(s112) | node8(s112) | node10(s112) | node11(s112) | node12(s112) | (~node14(s112, s113)) | (~m_main_v_state2(s112, c_c2)))),
% 4.64/3.51 inference(rewrite,[status(thm)],[])).
% 4.64/3.51 tff(9347,plain,
% 4.64/3.51 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s112, c_c2)) | node9(s112) | node8(s112) | node10(s112) | node11(s112) | node12(s112) | (~node14(s112, s113)) | m_main_v_state2(s113, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s113, c_n2) | node9(s112) | node8(s112) | node10(s112) | node11(s112) | node12(s112) | (~node14(s112, s113)) | (~m_main_v_state2(s112, c_c2))))),
% 4.64/3.51 inference(monotonicity,[status(thm)],[9346])).
% 4.64/3.51 tff(9348,plain,
% 4.64/3.51 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s112, c_c2)) | node9(s112) | node8(s112) | node10(s112) | node11(s112) | node12(s112) | (~node14(s112, s113)) | m_main_v_state2(s113, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s113, c_n2) | node9(s112) | node8(s112) | node10(s112) | node11(s112) | node12(s112) | (~node14(s112, s113)) | (~m_main_v_state2(s112, c_c2)))),
% 4.64/3.51 inference(transitivity,[status(thm)],[9347, 9345])).
% 4.64/3.51 tff(9349,plain,
% 4.64/3.51 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s112, c_c2)) | node9(s112) | node8(s112) | node10(s112) | node11(s112) | node12(s112) | (~node14(s112, s113)) | m_main_v_state2(s113, c_n2))),
% 4.64/3.51 inference(quant_inst,[status(thm)],[])).
% 4.64/3.51 tff(9350,plain,
% 4.64/3.51 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s113, c_n2) | node9(s112) | node8(s112) | node10(s112) | node11(s112) | node12(s112) | (~node14(s112, s113)) | (~m_main_v_state2(s112, c_c2))),
% 4.64/3.51 inference(modus_ponens,[status(thm)],[9349, 9348])).
% 4.64/3.51 tff(9351,plain,
% 4.64/3.51 (m_main_v_state2(s113, c_n2) | node9(s112) | node8(s112) | node10(s112) | node11(s112) | node12(s112) | (~m_main_v_state2(s112, c_c2))),
% 4.64/3.51 inference(unit_resolution,[status(thm)],[9350, 726, 9344])).
% 4.64/3.51 tff(9352,plain,
% 4.64/3.51 (m_main_v_state2(s113, c_n2)),
% 4.64/3.51 inference(unit_resolution,[status(thm)],[9351, 9340, 9285, 9336, 9332, 9328, 9324])).
% 4.64/3.51 tff(9353,plain,
% 4.64/3.51 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s113, c_n2)) | (~m_main_v_state2(s113, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s113, c_n2)) | (~m_main_v_state2(s113, c_t2)))),
% 4.64/3.51 inference(rewrite,[status(thm)],[])).
% 4.64/3.51 tff(9354,plain,
% 4.64/3.51 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s113, c_n2)) | (~m_main_v_state2(s113, c_t2)))),
% 4.64/3.51 inference(quant_inst,[status(thm)],[])).
% 4.64/3.51 tff(9355,plain,
% 4.64/3.51 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s113, c_n2)) | (~m_main_v_state2(s113, c_t2))),
% 4.64/3.51 inference(modus_ponens,[status(thm)],[9354, 9353])).
% 4.64/3.51 tff(9356,plain,
% 4.64/3.51 (~m_main_v_state2(s113, c_t2)),
% 4.64/3.51 inference(unit_resolution,[status(thm)],[9355, 77, 9352])).
% 4.64/3.51 tff(9357,plain,
% 4.64/3.51 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s113, c_t2) | (~node15(s113)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s113, c_t2) | (~node15(s113)))),
% 4.64/3.51 inference(rewrite,[status(thm)],[])).
% 4.64/3.51 tff(9358,plain,
% 4.64/3.51 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s113, c_t2) | (~node15(s113)))),
% 4.64/3.51 inference(quant_inst,[status(thm)],[])).
% 4.64/3.51 tff(9359,plain,
% 4.64/3.51 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s113, c_t2) | (~node15(s113))),
% 4.64/3.51 inference(modus_ponens,[status(thm)],[9358, 9357])).
% 4.64/3.51 tff(9360,plain,
% 4.64/3.51 (~node15(s113)),
% 4.64/3.51 inference(unit_resolution,[status(thm)],[9359, 103, 9356])).
% 4.64/3.51 tff(9361,plain,
% 4.64/3.51 (succ(s113, s114) <=> succ(s113, s114)),
% 4.64/3.51 inference(rewrite,[status(thm)],[])).
% 4.64/3.51 tff(9362,axiom,(succ(s113, s114)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound114')).
% 4.64/3.51 tff(9363,plain,
% 4.64/3.51 (succ(s113, s114)),
% 4.64/3.51 inference(modus_ponens,[status(thm)],[9362, 9361])).
% 4.64/3.51 tff(9364,plain,
% 4.64/3.51 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s113, s114)) | trans(s113, s114))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s113, s114)) | trans(s113, s114))),
% 4.64/3.51 inference(rewrite,[status(thm)],[])).
% 4.64/3.51 tff(9365,plain,
% 4.64/3.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s113, s114)) | trans(s113, s114))),
% 4.64/3.51 inference(quant_inst,[status(thm)],[])).
% 4.64/3.51 tff(9366,plain,
% 4.64/3.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s113, s114)) | trans(s113, s114)),
% 4.64/3.51 inference(modus_ponens,[status(thm)],[9365, 9364])).
% 4.64/3.51 tff(9367,plain,
% 4.64/3.51 (trans(s113, s114)),
% 4.64/3.51 inference(unit_resolution,[status(thm)],[9366, 9363, 32])).
% 4.64/3.51 tff(9368,plain,
% 4.64/3.51 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s113, s114)) | node18(s113, s114))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s113, s114)) | node18(s113, s114))),
% 4.64/3.51 inference(rewrite,[status(thm)],[])).
% 4.64/3.51 tff(9369,plain,
% 4.64/3.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s113, s114)) | node18(s113, s114))),
% 4.64/3.51 inference(quant_inst,[status(thm)],[])).
% 4.64/3.51 tff(9370,plain,
% 4.64/3.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s113, s114)) | node18(s113, s114)),
% 4.64/3.51 inference(modus_ponens,[status(thm)],[9369, 9368])).
% 4.64/3.51 tff(9371,plain,
% 4.64/3.51 (node18(s113, s114)),
% 4.64/3.51 inference(unit_resolution,[status(thm)],[9370, 125, 9367])).
% 4.64/3.51 tff(9372,plain,
% 4.64/3.51 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s113) | (~node18(s113, s114)) | (~m_main_v_state1(s113, c_t1)) | (~m_main_v_state2(s113, c_n2)) | m_main_v_turn(s114, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s113) | (~node18(s113, s114)) | (~m_main_v_state1(s113, c_t1)) | (~m_main_v_state2(s113, c_n2)) | m_main_v_turn(s114, c_1))),
% 4.64/3.51 inference(rewrite,[status(thm)],[])).
% 4.64/3.51 tff(9373,plain,
% 4.64/3.51 (((~m_main_v_state1(s113, c_t1)) | (~m_main_v_state2(s113, c_n2)) | node15(s113) | (~node18(s113, s114)) | m_main_v_turn(s114, c_1)) <=> (node15(s113) | (~node18(s113, s114)) | (~m_main_v_state1(s113, c_t1)) | (~m_main_v_state2(s113, c_n2)) | m_main_v_turn(s114, c_1))),
% 4.64/3.51 inference(rewrite,[status(thm)],[])).
% 4.64/3.51 tff(9374,plain,
% 4.64/3.51 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s113, c_t1)) | (~m_main_v_state2(s113, c_n2)) | node15(s113) | (~node18(s113, s114)) | m_main_v_turn(s114, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s113) | (~node18(s113, s114)) | (~m_main_v_state1(s113, c_t1)) | (~m_main_v_state2(s113, c_n2)) | m_main_v_turn(s114, c_1)))),
% 4.64/3.51 inference(monotonicity,[status(thm)],[9373])).
% 4.64/3.51 tff(9375,plain,
% 4.64/3.51 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s113, c_t1)) | (~m_main_v_state2(s113, c_n2)) | node15(s113) | (~node18(s113, s114)) | m_main_v_turn(s114, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s113) | (~node18(s113, s114)) | (~m_main_v_state1(s113, c_t1)) | (~m_main_v_state2(s113, c_n2)) | m_main_v_turn(s114, c_1))),
% 4.64/3.51 inference(transitivity,[status(thm)],[9374, 9372])).
% 4.64/3.51 tff(9376,plain,
% 4.64/3.51 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s113, c_t1)) | (~m_main_v_state2(s113, c_n2)) | node15(s113) | (~node18(s113, s114)) | m_main_v_turn(s114, c_1))),
% 4.64/3.51 inference(quant_inst,[status(thm)],[])).
% 4.64/3.51 tff(9377,plain,
% 4.64/3.51 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s113) | (~node18(s113, s114)) | (~m_main_v_state1(s113, c_t1)) | (~m_main_v_state2(s113, c_n2)) | m_main_v_turn(s114, c_1)),
% 4.64/3.51 inference(modus_ponens,[status(thm)],[9376, 9375])).
% 4.64/3.51 tff(9378,plain,
% 4.64/3.51 (node15(s113) | (~m_main_v_state1(s113, c_t1)) | (~m_main_v_state2(s113, c_n2)) | m_main_v_turn(s114, c_1)),
% 4.64/3.51 inference(unit_resolution,[status(thm)],[9377, 992, 9371])).
% 4.64/3.51 tff(9379,plain,
% 4.64/3.51 (m_main_v_turn(s114, c_1)),
% 4.64/3.51 inference(unit_resolution,[status(thm)],[9378, 9360, 9352, 9316])).
% 4.64/3.51 tff(9380,plain,
% 4.64/3.51 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s114, c_1)) | (~m_main_v_turn(s114, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s114, c_1)) | (~m_main_v_turn(s114, c_2)))),
% 4.64/3.51 inference(rewrite,[status(thm)],[])).
% 4.64/3.51 tff(9381,plain,
% 4.64/3.51 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s114, c_1)) | (~m_main_v_turn(s114, c_2)))),
% 4.64/3.51 inference(quant_inst,[status(thm)],[])).
% 4.64/3.51 tff(9382,plain,
% 4.64/3.51 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s114, c_1)) | (~m_main_v_turn(s114, c_2))),
% 4.64/3.51 inference(modus_ponens,[status(thm)],[9381, 9380])).
% 4.64/3.51 tff(9383,plain,
% 4.64/3.51 (~m_main_v_turn(s114, c_2)),
% 4.64/3.51 inference(unit_resolution,[status(thm)],[9382, 156, 9379])).
% 4.64/3.51 tff(9384,plain,
% 4.64/3.51 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s114, c_2) | (~node12(s114)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s114, c_2) | (~node12(s114)))),
% 4.64/3.51 inference(rewrite,[status(thm)],[])).
% 4.64/3.51 tff(9385,plain,
% 4.64/3.51 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s114, c_2) | (~node12(s114)))),
% 4.64/3.51 inference(quant_inst,[status(thm)],[])).
% 4.64/3.51 tff(9386,plain,
% 4.64/3.51 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s114, c_2) | (~node12(s114))),
% 4.64/3.51 inference(modus_ponens,[status(thm)],[9385, 9384])).
% 4.64/3.51 tff(9387,plain,
% 4.64/3.51 (~node12(s114)),
% 4.64/3.51 inference(unit_resolution,[status(thm)],[9386, 184, 9383])).
% 4.64/3.51 tff(9388,plain,
% 4.64/3.51 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s113, s114)) | node14(s113, s114))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s113, s114)) | node14(s113, s114))),
% 4.64/3.51 inference(rewrite,[status(thm)],[])).
% 4.64/3.51 tff(9389,plain,
% 4.64/3.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s113, s114)) | node14(s113, s114))),
% 4.64/3.51 inference(quant_inst,[status(thm)],[])).
% 4.64/3.51 tff(9390,plain,
% 4.64/3.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s113, s114)) | node14(s113, s114)),
% 4.64/3.51 inference(modus_ponens,[status(thm)],[9389, 9388])).
% 4.64/3.51 tff(9391,plain,
% 4.64/3.51 (node14(s113, s114)),
% 4.64/3.51 inference(unit_resolution,[status(thm)],[9390, 46, 9367])).
% 4.64/3.51 tff(9392,plain,
% 4.64/3.51 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s113, c_t1)) | (~m_main_v_state2(s113, c_n2)) | (~node14(s113, s114)) | m_main_v_state2(s114, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s113, c_t1)) | (~m_main_v_state2(s113, c_n2)) | (~node14(s113, s114)) | m_main_v_state2(s114, c_t2))),
% 4.64/3.51 inference(rewrite,[status(thm)],[])).
% 4.64/3.51 tff(9393,plain,
% 4.64/3.51 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s113, c_t1)) | (~m_main_v_state2(s113, c_n2)) | (~node14(s113, s114)) | m_main_v_state2(s114, c_t2))),
% 4.64/3.51 inference(quant_inst,[status(thm)],[])).
% 4.64/3.51 tff(9394,plain,
% 4.64/3.51 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s113, c_t1)) | (~m_main_v_state2(s113, c_n2)) | (~node14(s113, s114)) | m_main_v_state2(s114, c_t2)),
% 4.64/3.51 inference(modus_ponens,[status(thm)],[9393, 9392])).
% 4.64/3.51 tff(9395,plain,
% 4.64/3.51 ((~m_main_v_state1(s113, c_t1)) | (~m_main_v_state2(s113, c_n2)) | m_main_v_state2(s114, c_t2)),
% 4.64/3.51 inference(unit_resolution,[status(thm)],[9394, 922, 9391])).
% 4.64/3.51 tff(9396,plain,
% 4.64/3.51 (m_main_v_state2(s114, c_t2)),
% 4.64/3.51 inference(unit_resolution,[status(thm)],[9395, 9316, 9352])).
% 4.64/3.51 tff(9397,plain,
% 4.64/3.51 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s114, c_n2)) | (~m_main_v_state2(s114, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s114, c_n2)) | (~m_main_v_state2(s114, c_t2)))),
% 4.64/3.51 inference(rewrite,[status(thm)],[])).
% 4.64/3.51 tff(9398,plain,
% 4.64/3.51 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s114, c_n2)) | (~m_main_v_state2(s114, c_t2)))),
% 4.64/3.51 inference(quant_inst,[status(thm)],[])).
% 4.64/3.51 tff(9399,plain,
% 4.64/3.51 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s114, c_n2)) | (~m_main_v_state2(s114, c_t2))),
% 4.64/3.51 inference(modus_ponens,[status(thm)],[9398, 9397])).
% 4.64/3.51 tff(9400,plain,
% 4.64/3.51 (~m_main_v_state2(s114, c_n2)),
% 4.64/3.51 inference(unit_resolution,[status(thm)],[9399, 77, 9396])).
% 4.64/3.51 tff(9401,plain,
% 4.64/3.51 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s114, c_n2) | (~node8(s114)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s114, c_n2) | (~node8(s114)))),
% 4.64/3.51 inference(rewrite,[status(thm)],[])).
% 4.64/3.51 tff(9402,plain,
% 4.64/3.51 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s114, c_n2) | (~node8(s114)))),
% 4.64/3.51 inference(quant_inst,[status(thm)],[])).
% 4.64/3.51 tff(9403,plain,
% 4.64/3.51 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s114, c_n2) | (~node8(s114))),
% 4.64/3.51 inference(modus_ponens,[status(thm)],[9402, 9401])).
% 4.64/3.51 tff(9404,plain,
% 4.64/3.51 (~node8(s114)),
% 4.64/3.51 inference(unit_resolution,[status(thm)],[9403, 271, 9400])).
% 4.64/3.51 tff(9405,plain,
% 4.64/3.51 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s114, c_n2) | (~node9(s114)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s114, c_n2) | (~node9(s114)))),
% 4.64/3.51 inference(rewrite,[status(thm)],[])).
% 4.64/3.51 tff(9406,plain,
% 4.64/3.51 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s114, c_n2) | (~node9(s114)))),
% 4.64/3.51 inference(quant_inst,[status(thm)],[])).
% 4.64/3.51 tff(9407,plain,
% 4.64/3.51 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s114, c_n2) | (~node9(s114))),
% 4.64/3.51 inference(modus_ponens,[status(thm)],[9406, 9405])).
% 4.64/3.51 tff(9408,plain,
% 4.64/3.51 (~node9(s114)),
% 4.64/3.51 inference(unit_resolution,[status(thm)],[9407, 88, 9400])).
% 4.64/3.51 tff(9409,plain,
% 4.64/3.51 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s114, c_n2) | (~node10(s114)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s114, c_n2) | (~node10(s114)))),
% 4.64/3.51 inference(rewrite,[status(thm)],[])).
% 4.64/3.51 tff(9410,plain,
% 4.64/3.51 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s114, c_n2) | (~node10(s114)))),
% 4.64/3.51 inference(quant_inst,[status(thm)],[])).
% 4.64/3.51 tff(9411,plain,
% 4.64/3.51 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s114, c_n2) | (~node10(s114))),
% 4.64/3.51 inference(modus_ponens,[status(thm)],[9410, 9409])).
% 4.64/3.51 tff(9412,plain,
% 4.64/3.51 (~node10(s114)),
% 4.64/3.51 inference(unit_resolution,[status(thm)],[9411, 249, 9400])).
% 4.64/3.51 tff(9413,plain,
% 4.64/3.51 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s114, c_t2)) | (~m_main_v_state2(s114, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s114, c_t2)) | (~m_main_v_state2(s114, c_c2)))),
% 4.64/3.51 inference(rewrite,[status(thm)],[])).
% 4.64/3.51 tff(9414,plain,
% 4.64/3.51 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s114, c_t2)) | (~m_main_v_state2(s114, c_c2)))),
% 4.64/3.51 inference(quant_inst,[status(thm)],[])).
% 4.64/3.51 tff(9415,plain,
% 4.64/3.51 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s114, c_t2)) | (~m_main_v_state2(s114, c_c2))),
% 4.64/3.51 inference(modus_ponens,[status(thm)],[9414, 9413])).
% 4.64/3.51 tff(9416,plain,
% 4.64/3.51 (~m_main_v_state2(s114, c_c2)),
% 4.64/3.51 inference(unit_resolution,[status(thm)],[9415, 260, 9396])).
% 4.64/3.51 tff(9417,plain,
% 4.64/3.51 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s113, c_n2)) | (~m_main_v_state2(s113, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s113, c_n2)) | (~m_main_v_state2(s113, c_c2)))),
% 4.64/3.51 inference(rewrite,[status(thm)],[])).
% 4.64/3.51 tff(9418,plain,
% 4.64/3.51 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s113, c_n2)) | (~m_main_v_state2(s113, c_c2)))),
% 4.64/3.51 inference(quant_inst,[status(thm)],[])).
% 4.64/3.51 tff(9419,plain,
% 4.64/3.51 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s113, c_n2)) | (~m_main_v_state2(s113, c_c2))),
% 4.64/3.51 inference(modus_ponens,[status(thm)],[9418, 9417])).
% 4.64/3.51 tff(9420,plain,
% 4.64/3.51 (~m_main_v_state2(s113, c_c2)),
% 4.64/3.51 inference(unit_resolution,[status(thm)],[9419, 697, 9352])).
% 4.64/3.51 tff(9421,plain,
% 4.64/3.51 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s113, c_c2) | (~node3(s113)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s113, c_c2) | (~node3(s113)))),
% 4.64/3.51 inference(rewrite,[status(thm)],[])).
% 4.64/3.51 tff(9422,plain,
% 4.64/3.51 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s113, c_c2) | (~node3(s113)))),
% 4.64/3.51 inference(quant_inst,[status(thm)],[])).
% 4.64/3.51 tff(9423,plain,
% 4.64/3.51 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s113, c_c2) | (~node3(s113))),
% 4.64/3.51 inference(modus_ponens,[status(thm)],[9422, 9421])).
% 4.64/3.51 tff(9424,plain,
% 4.64/3.51 (~node3(s113)),
% 4.64/3.51 inference(unit_resolution,[status(thm)],[9423, 399, 9420])).
% 4.64/3.51 tff(9425,plain,
% 4.64/3.51 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s112, c_n1) | (~m_main_v_state1(s113, c_n1)) | (~node6(s112, s113)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s112, c_n1) | (~m_main_v_state1(s113, c_n1)) | (~node6(s112, s113)))),
% 4.64/3.51 inference(rewrite,[status(thm)],[])).
% 4.64/3.51 tff(9426,plain,
% 4.64/3.51 (((~node6(s112, s113)) | m_main_v_state1(s112, c_n1) | (~m_main_v_state1(s113, c_n1))) <=> (m_main_v_state1(s112, c_n1) | (~m_main_v_state1(s113, c_n1)) | (~node6(s112, s113)))),
% 4.64/3.51 inference(rewrite,[status(thm)],[])).
% 4.64/3.51 tff(9427,plain,
% 4.64/3.51 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s112, s113)) | m_main_v_state1(s112, c_n1) | (~m_main_v_state1(s113, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s112, c_n1) | (~m_main_v_state1(s113, c_n1)) | (~node6(s112, s113))))),
% 4.64/3.51 inference(monotonicity,[status(thm)],[9426])).
% 4.64/3.51 tff(9428,plain,
% 4.64/3.51 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s112, s113)) | m_main_v_state1(s112, c_n1) | (~m_main_v_state1(s113, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s112, c_n1) | (~m_main_v_state1(s113, c_n1)) | (~node6(s112, s113)))),
% 4.64/3.51 inference(transitivity,[status(thm)],[9427, 9425])).
% 4.64/3.51 tff(9429,plain,
% 4.64/3.51 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s112, s113)) | m_main_v_state1(s112, c_n1) | (~m_main_v_state1(s113, c_n1)))),
% 4.64/3.51 inference(quant_inst,[status(thm)],[])).
% 4.64/3.51 tff(9430,plain,
% 4.64/3.51 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s112, c_n1) | (~m_main_v_state1(s113, c_n1)) | (~node6(s112, s113))),
% 4.64/3.51 inference(modus_ponens,[status(thm)],[9429, 9428])).
% 4.64/3.51 tff(9431,plain,
% 4.64/3.51 (~m_main_v_state1(s113, c_n1)),
% 4.64/3.51 inference(unit_resolution,[status(thm)],[9430, 835, 9224, 9309])).
% 4.64/3.51 tff(9432,plain,
% 4.64/3.51 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s113, c_n1) | (~node2(s113)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s113, c_n1) | (~node2(s113)))),
% 4.64/3.51 inference(rewrite,[status(thm)],[])).
% 4.64/3.51 tff(9433,plain,
% 4.64/3.51 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s113, c_n1) | (~node2(s113)))),
% 4.64/3.51 inference(quant_inst,[status(thm)],[])).
% 4.64/3.51 tff(9434,plain,
% 4.64/3.51 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s113, c_n1) | (~node2(s113))),
% 4.64/3.51 inference(modus_ponens,[status(thm)],[9433, 9432])).
% 4.64/3.51 tff(9435,plain,
% 4.64/3.51 (~node2(s113)),
% 4.64/3.51 inference(unit_resolution,[status(thm)],[9434, 787, 9431])).
% 4.64/3.51 tff(9436,plain,
% 4.64/3.51 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s113, c_t2) | (~node1(s113)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s113, c_t2) | (~node1(s113)))),
% 4.64/3.51 inference(rewrite,[status(thm)],[])).
% 4.64/3.51 tff(9437,plain,
% 4.64/3.51 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s113, c_t2) | (~node1(s113)))),
% 4.64/3.51 inference(quant_inst,[status(thm)],[])).
% 4.64/3.51 tff(9438,plain,
% 4.64/3.51 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s113, c_t2) | (~node1(s113))),
% 4.64/3.51 inference(modus_ponens,[status(thm)],[9437, 9436])).
% 4.64/3.51 tff(9439,plain,
% 4.64/3.51 (~node1(s113)),
% 4.64/3.51 inference(unit_resolution,[status(thm)],[9438, 195, 9356])).
% 4.64/3.51 tff(9440,plain,
% 4.64/3.51 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s113, s114)) | node7(s113, s114))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s113, s114)) | node7(s113, s114))),
% 4.64/3.51 inference(rewrite,[status(thm)],[])).
% 4.64/3.51 tff(9441,plain,
% 4.64/3.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s113, s114)) | node7(s113, s114))),
% 4.64/3.51 inference(quant_inst,[status(thm)],[])).
% 4.64/3.51 tff(9442,plain,
% 4.64/3.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s113, s114)) | node7(s113, s114)),
% 4.64/3.51 inference(modus_ponens,[status(thm)],[9441, 9440])).
% 4.64/3.51 tff(9443,plain,
% 4.64/3.51 (node7(s113, s114)),
% 4.64/3.51 inference(unit_resolution,[status(thm)],[9442, 206, 9367])).
% 4.64/3.51 tff(9444,plain,
% 4.64/3.51 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s113, c_t1)) | (~m_main_v_state2(s113, c_n2)) | m_main_v_state1(s114, c_c1) | node1(s113) | node2(s113) | node3(s113) | (~node7(s113, s114)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s113, c_t1)) | (~m_main_v_state2(s113, c_n2)) | m_main_v_state1(s114, c_c1) | node1(s113) | node2(s113) | node3(s113) | (~node7(s113, s114)))),
% 4.64/3.51 inference(rewrite,[status(thm)],[])).
% 4.64/3.51 tff(9445,plain,
% 4.64/3.51 (((~m_main_v_state1(s113, c_t1)) | (~m_main_v_state2(s113, c_n2)) | node1(s113) | node2(s113) | node3(s113) | (~node7(s113, s114)) | m_main_v_state1(s114, c_c1)) <=> ((~m_main_v_state1(s113, c_t1)) | (~m_main_v_state2(s113, c_n2)) | m_main_v_state1(s114, c_c1) | node1(s113) | node2(s113) | node3(s113) | (~node7(s113, s114)))),
% 4.64/3.51 inference(rewrite,[status(thm)],[])).
% 4.64/3.51 tff(9446,plain,
% 4.64/3.51 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s113, c_t1)) | (~m_main_v_state2(s113, c_n2)) | node1(s113) | node2(s113) | node3(s113) | (~node7(s113, s114)) | m_main_v_state1(s114, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s113, c_t1)) | (~m_main_v_state2(s113, c_n2)) | m_main_v_state1(s114, c_c1) | node1(s113) | node2(s113) | node3(s113) | (~node7(s113, s114))))),
% 4.64/3.51 inference(monotonicity,[status(thm)],[9445])).
% 4.64/3.51 tff(9447,plain,
% 4.64/3.51 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s113, c_t1)) | (~m_main_v_state2(s113, c_n2)) | node1(s113) | node2(s113) | node3(s113) | (~node7(s113, s114)) | m_main_v_state1(s114, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s113, c_t1)) | (~m_main_v_state2(s113, c_n2)) | m_main_v_state1(s114, c_c1) | node1(s113) | node2(s113) | node3(s113) | (~node7(s113, s114)))),
% 4.64/3.51 inference(transitivity,[status(thm)],[9446, 9444])).
% 4.64/3.51 tff(9448,plain,
% 4.64/3.51 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s113, c_t1)) | (~m_main_v_state2(s113, c_n2)) | node1(s113) | node2(s113) | node3(s113) | (~node7(s113, s114)) | m_main_v_state1(s114, c_c1))),
% 4.64/3.51 inference(quant_inst,[status(thm)],[])).
% 4.64/3.51 tff(9449,plain,
% 4.64/3.51 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s113, c_t1)) | (~m_main_v_state2(s113, c_n2)) | m_main_v_state1(s114, c_c1) | node1(s113) | node2(s113) | node3(s113) | (~node7(s113, s114))),
% 4.64/3.51 inference(modus_ponens,[status(thm)],[9448, 9447])).
% 4.64/3.51 tff(9450,plain,
% 4.64/3.51 ((~m_main_v_state1(s113, c_t1)) | (~m_main_v_state2(s113, c_n2)) | m_main_v_state1(s114, c_c1) | node1(s113) | node2(s113) | node3(s113)),
% 4.64/3.51 inference(unit_resolution,[status(thm)],[9449, 892, 9443])).
% 4.64/3.51 tff(9451,plain,
% 4.64/3.51 (m_main_v_state1(s114, c_c1)),
% 4.64/3.51 inference(unit_resolution,[status(thm)],[9450, 9439, 9352, 9316, 9435, 9424])).
% 4.64/3.51 tff(9452,plain,
% 4.64/3.51 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s114, c_n1)) | (~m_main_v_state1(s114, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s114, c_n1)) | (~m_main_v_state1(s114, c_c1)))),
% 4.64/3.51 inference(rewrite,[status(thm)],[])).
% 4.64/3.51 tff(9453,plain,
% 4.64/3.51 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s114, c_n1)) | (~m_main_v_state1(s114, c_c1)))),
% 4.68/3.52 inference(quant_inst,[status(thm)],[])).
% 4.68/3.52 tff(9454,plain,
% 4.68/3.52 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s114, c_n1)) | (~m_main_v_state1(s114, c_c1))),
% 4.68/3.52 inference(modus_ponens,[status(thm)],[9453, 9452])).
% 4.68/3.52 tff(9455,plain,
% 4.68/3.52 (~m_main_v_state1(s114, c_n1)),
% 4.68/3.52 inference(unit_resolution,[status(thm)],[9454, 454, 9451])).
% 4.68/3.52 tff(9456,plain,
% 4.68/3.52 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s114, c_n1) | (~node11(s114)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s114, c_n1) | (~node11(s114)))),
% 4.68/3.52 inference(rewrite,[status(thm)],[])).
% 4.68/3.52 tff(9457,plain,
% 4.68/3.52 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s114, c_n1) | (~node11(s114)))),
% 4.68/3.52 inference(quant_inst,[status(thm)],[])).
% 4.68/3.52 tff(9458,plain,
% 4.68/3.52 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s114, c_n1) | (~node11(s114))),
% 4.68/3.52 inference(modus_ponens,[status(thm)],[9457, 9456])).
% 4.68/3.52 tff(9459,plain,
% 4.68/3.52 (~node11(s114)),
% 4.68/3.52 inference(unit_resolution,[status(thm)],[9458, 238, 9455])).
% 4.68/3.52 tff(9460,plain,
% 4.68/3.52 (succ(s114, s115) <=> succ(s114, s115)),
% 4.68/3.52 inference(rewrite,[status(thm)],[])).
% 4.68/3.52 tff(9461,axiom,(succ(s114, s115)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound115')).
% 4.68/3.52 tff(9462,plain,
% 4.68/3.52 (succ(s114, s115)),
% 4.68/3.52 inference(modus_ponens,[status(thm)],[9461, 9460])).
% 4.68/3.52 tff(9463,plain,
% 4.68/3.52 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s114, s115)) | trans(s114, s115))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s114, s115)) | trans(s114, s115))),
% 4.68/3.52 inference(rewrite,[status(thm)],[])).
% 4.68/3.52 tff(9464,plain,
% 4.68/3.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s114, s115)) | trans(s114, s115))),
% 4.68/3.52 inference(quant_inst,[status(thm)],[])).
% 4.68/3.52 tff(9465,plain,
% 4.68/3.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s114, s115)) | trans(s114, s115)),
% 4.68/3.52 inference(modus_ponens,[status(thm)],[9464, 9463])).
% 4.68/3.52 tff(9466,plain,
% 4.68/3.52 (trans(s114, s115)),
% 4.68/3.52 inference(unit_resolution,[status(thm)],[9465, 9462, 32])).
% 4.68/3.52 tff(9467,plain,
% 4.68/3.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s114, s115)) | node14(s114, s115))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s114, s115)) | node14(s114, s115))),
% 4.68/3.52 inference(rewrite,[status(thm)],[])).
% 4.68/3.52 tff(9468,plain,
% 4.68/3.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s114, s115)) | node14(s114, s115))),
% 4.68/3.52 inference(quant_inst,[status(thm)],[])).
% 4.68/3.52 tff(9469,plain,
% 4.68/3.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s114, s115)) | node14(s114, s115)),
% 4.68/3.52 inference(modus_ponens,[status(thm)],[9468, 9467])).
% 4.68/3.52 tff(9470,plain,
% 4.68/3.52 (node14(s114, s115)),
% 4.68/3.52 inference(unit_resolution,[status(thm)],[9469, 46, 9466])).
% 4.68/3.52 tff(9471,plain,
% 4.68/3.52 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s114, c_c2) | node9(s114) | node8(s114) | node10(s114) | node11(s114) | node12(s114) | node13(s114, s115) | (~node14(s114, s115)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s114, c_c2) | node9(s114) | node8(s114) | node10(s114) | node11(s114) | node12(s114) | node13(s114, s115) | (~node14(s114, s115)))),
% 4.68/3.52 inference(rewrite,[status(thm)],[])).
% 4.68/3.52 tff(9472,plain,
% 4.68/3.52 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s114, c_c2) | node9(s114) | node8(s114) | node10(s114) | node11(s114) | node12(s114) | node13(s114, s115) | (~node14(s114, s115)))),
% 4.68/3.52 inference(quant_inst,[status(thm)],[])).
% 4.68/3.52 tff(9473,plain,
% 4.68/3.52 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s114, c_c2) | node9(s114) | node8(s114) | node10(s114) | node11(s114) | node12(s114) | node13(s114, s115) | (~node14(s114, s115))),
% 4.68/3.52 inference(modus_ponens,[status(thm)],[9472, 9471])).
% 4.68/3.52 tff(9474,plain,
% 4.68/3.52 (m_main_v_state2(s114, c_c2) | node9(s114) | node8(s114) | node10(s114) | node11(s114) | node12(s114) | node13(s114, s115)),
% 4.68/3.52 inference(unit_resolution,[status(thm)],[9473, 296, 9470])).
% 4.68/3.52 tff(9475,plain,
% 4.68/3.52 (node13(s114, s115)),
% 4.68/3.52 inference(unit_resolution,[status(thm)],[9474, 9459, 9416, 9412, 9408, 9404, 9387])).
% 4.68/3.52 tff(9476,plain,
% 4.68/3.52 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s114, c_n2) | (~m_main_v_state2(s115, c_n2)) | (~node13(s114, s115)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s114, c_n2) | (~m_main_v_state2(s115, c_n2)) | (~node13(s114, s115)))),
% 4.68/3.52 inference(rewrite,[status(thm)],[])).
% 4.68/3.52 tff(9477,plain,
% 4.68/3.52 (((~node13(s114, s115)) | m_main_v_state2(s114, c_n2) | (~m_main_v_state2(s115, c_n2))) <=> (m_main_v_state2(s114, c_n2) | (~m_main_v_state2(s115, c_n2)) | (~node13(s114, s115)))),
% 4.68/3.52 inference(rewrite,[status(thm)],[])).
% 4.68/3.52 tff(9478,plain,
% 4.68/3.52 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s114, s115)) | m_main_v_state2(s114, c_n2) | (~m_main_v_state2(s115, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s114, c_n2) | (~m_main_v_state2(s115, c_n2)) | (~node13(s114, s115))))),
% 4.68/3.52 inference(monotonicity,[status(thm)],[9477])).
% 4.68/3.52 tff(9479,plain,
% 4.68/3.52 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s114, s115)) | m_main_v_state2(s114, c_n2) | (~m_main_v_state2(s115, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s114, c_n2) | (~m_main_v_state2(s115, c_n2)) | (~node13(s114, s115)))),
% 4.68/3.52 inference(transitivity,[status(thm)],[9478, 9476])).
% 4.68/3.52 tff(9480,plain,
% 4.68/3.52 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s114, s115)) | m_main_v_state2(s114, c_n2) | (~m_main_v_state2(s115, c_n2)))),
% 4.68/3.52 inference(quant_inst,[status(thm)],[])).
% 4.68/3.52 tff(9481,plain,
% 4.68/3.52 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s114, c_n2) | (~m_main_v_state2(s115, c_n2)) | (~node13(s114, s115))),
% 4.68/3.52 inference(modus_ponens,[status(thm)],[9480, 9479])).
% 4.68/3.52 tff(9482,plain,
% 4.68/3.52 (~m_main_v_state2(s115, c_n2)),
% 4.68/3.52 inference(unit_resolution,[status(thm)],[9481, 311, 9400, 9475])).
% 4.68/3.52 tff(9483,plain,
% 4.68/3.52 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s115, c_n2) | (~node9(s115)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s115, c_n2) | (~node9(s115)))),
% 4.68/3.52 inference(rewrite,[status(thm)],[])).
% 4.68/3.52 tff(9484,plain,
% 4.68/3.52 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s115, c_n2) | (~node9(s115)))),
% 4.68/3.52 inference(quant_inst,[status(thm)],[])).
% 4.68/3.52 tff(9485,plain,
% 4.68/3.52 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s115, c_n2) | (~node9(s115))),
% 4.68/3.52 inference(modus_ponens,[status(thm)],[9484, 9483])).
% 4.68/3.52 tff(9486,plain,
% 4.68/3.52 (~node9(s115)),
% 4.68/3.52 inference(unit_resolution,[status(thm)],[9485, 88, 9482])).
% 4.68/3.52 tff(9487,plain,
% 4.68/3.52 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s115, c_n2) | (~node10(s115)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s115, c_n2) | (~node10(s115)))),
% 4.68/3.52 inference(rewrite,[status(thm)],[])).
% 4.68/3.52 tff(9488,plain,
% 4.68/3.52 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s115, c_n2) | (~node10(s115)))),
% 4.68/3.52 inference(quant_inst,[status(thm)],[])).
% 4.68/3.52 tff(9489,plain,
% 4.68/3.52 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s115, c_n2) | (~node10(s115))),
% 4.68/3.52 inference(modus_ponens,[status(thm)],[9488, 9487])).
% 4.68/3.52 tff(9490,plain,
% 4.68/3.52 (~node10(s115)),
% 4.68/3.52 inference(unit_resolution,[status(thm)],[9489, 249, 9482])).
% 4.68/3.52 tff(9491,plain,
% 4.68/3.52 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s114, c_t2)) | m_main_v_state2(s115, c_t2) | (~node13(s114, s115)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s114, c_t2)) | m_main_v_state2(s115, c_t2) | (~node13(s114, s115)))),
% 4.68/3.52 inference(rewrite,[status(thm)],[])).
% 4.68/3.52 tff(9492,plain,
% 4.68/3.52 (((~node13(s114, s115)) | (~m_main_v_state2(s114, c_t2)) | m_main_v_state2(s115, c_t2)) <=> ((~m_main_v_state2(s114, c_t2)) | m_main_v_state2(s115, c_t2) | (~node13(s114, s115)))),
% 4.68/3.52 inference(rewrite,[status(thm)],[])).
% 4.68/3.52 tff(9493,plain,
% 4.68/3.52 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s114, s115)) | (~m_main_v_state2(s114, c_t2)) | m_main_v_state2(s115, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s114, c_t2)) | m_main_v_state2(s115, c_t2) | (~node13(s114, s115))))),
% 4.68/3.52 inference(monotonicity,[status(thm)],[9492])).
% 4.68/3.52 tff(9494,plain,
% 4.68/3.52 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s114, s115)) | (~m_main_v_state2(s114, c_t2)) | m_main_v_state2(s115, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s114, c_t2)) | m_main_v_state2(s115, c_t2) | (~node13(s114, s115)))),
% 4.68/3.52 inference(transitivity,[status(thm)],[9493, 9491])).
% 4.68/3.52 tff(9495,plain,
% 4.68/3.52 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s114, s115)) | (~m_main_v_state2(s114, c_t2)) | m_main_v_state2(s115, c_t2))),
% 4.68/3.52 inference(quant_inst,[status(thm)],[])).
% 4.68/3.52 tff(9496,plain,
% 4.68/3.52 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s114, c_t2)) | m_main_v_state2(s115, c_t2) | (~node13(s114, s115))),
% 4.68/3.52 inference(modus_ponens,[status(thm)],[9495, 9494])).
% 4.68/3.52 tff(9497,plain,
% 4.68/3.52 (m_main_v_state2(s115, c_t2)),
% 4.68/3.52 inference(unit_resolution,[status(thm)],[9496, 518, 9396, 9475])).
% 4.68/3.52 tff(9498,plain,
% 4.68/3.52 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s114, c_t1)) | (~m_main_v_state1(s114, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s114, c_t1)) | (~m_main_v_state1(s114, c_c1)))),
% 4.68/3.52 inference(rewrite,[status(thm)],[])).
% 4.68/3.52 tff(9499,plain,
% 4.68/3.52 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s114, c_t1)) | (~m_main_v_state1(s114, c_c1)))),
% 4.68/3.52 inference(quant_inst,[status(thm)],[])).
% 4.68/3.52 tff(9500,plain,
% 4.68/3.52 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s114, c_t1)) | (~m_main_v_state1(s114, c_c1))),
% 4.68/3.52 inference(modus_ponens,[status(thm)],[9499, 9498])).
% 4.68/3.52 tff(9501,plain,
% 4.68/3.52 (~m_main_v_state1(s114, c_t1)),
% 4.68/3.52 inference(unit_resolution,[status(thm)],[9500, 539, 9451])).
% 4.68/3.52 tff(9502,plain,
% 4.68/3.52 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s114, c_t1) | (~node5(s114)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s114, c_t1) | (~node5(s114)))),
% 4.68/3.52 inference(rewrite,[status(thm)],[])).
% 4.68/3.52 tff(9503,plain,
% 4.68/3.52 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s114, c_t1) | (~node5(s114)))),
% 4.68/3.52 inference(quant_inst,[status(thm)],[])).
% 4.68/3.52 tff(9504,plain,
% 4.68/3.52 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s114, c_t1) | (~node5(s114))),
% 4.68/3.52 inference(modus_ponens,[status(thm)],[9503, 9502])).
% 4.68/3.52 tff(9505,plain,
% 4.68/3.52 (~node5(s114)),
% 4.68/3.52 inference(unit_resolution,[status(thm)],[9504, 550, 9501])).
% 4.68/3.52 tff(9506,plain,
% 4.68/3.52 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s114, c_n2) | (~node4(s114)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s114, c_n2) | (~node4(s114)))),
% 4.68/3.52 inference(rewrite,[status(thm)],[])).
% 4.68/3.52 tff(9507,plain,
% 4.68/3.52 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s114, c_n2) | (~node4(s114)))),
% 4.68/3.52 inference(quant_inst,[status(thm)],[])).
% 4.68/3.52 tff(9508,plain,
% 4.68/3.52 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s114, c_n2) | (~node4(s114))),
% 4.68/3.52 inference(modus_ponens,[status(thm)],[9507, 9506])).
% 4.68/3.52 tff(9509,plain,
% 4.68/3.52 (~node4(s114)),
% 4.68/3.52 inference(unit_resolution,[status(thm)],[9508, 388, 9400])).
% 4.68/3.52 tff(9510,plain,
% 4.68/3.52 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s114, c_c2) | (~node3(s114)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s114, c_c2) | (~node3(s114)))),
% 4.68/3.52 inference(rewrite,[status(thm)],[])).
% 4.68/3.52 tff(9511,plain,
% 4.68/3.52 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s114, c_c2) | (~node3(s114)))),
% 4.68/3.52 inference(quant_inst,[status(thm)],[])).
% 4.68/3.52 tff(9512,plain,
% 4.68/3.52 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s114, c_c2) | (~node3(s114))),
% 4.68/3.52 inference(modus_ponens,[status(thm)],[9511, 9510])).
% 4.68/3.52 tff(9513,plain,
% 4.68/3.52 (~node3(s114)),
% 4.68/3.52 inference(unit_resolution,[status(thm)],[9512, 399, 9416])).
% 4.68/3.52 tff(9514,plain,
% 4.68/3.52 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s114, c_n2) | (~node2(s114)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s114, c_n2) | (~node2(s114)))),
% 4.68/3.52 inference(rewrite,[status(thm)],[])).
% 4.68/3.52 tff(9515,plain,
% 4.68/3.52 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s114, c_n2) | (~node2(s114)))),
% 4.68/3.52 inference(quant_inst,[status(thm)],[])).
% 4.68/3.52 tff(9516,plain,
% 4.68/3.52 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s114, c_n2) | (~node2(s114))),
% 4.68/3.52 inference(modus_ponens,[status(thm)],[9515, 9514])).
% 4.68/3.52 tff(9517,plain,
% 4.68/3.52 (~node2(s114)),
% 4.68/3.52 inference(unit_resolution,[status(thm)],[9516, 410, 9400])).
% 4.68/3.52 tff(9518,plain,
% 4.68/3.52 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s114, c_n1) | (~node1(s114)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s114, c_n1) | (~node1(s114)))),
% 4.68/3.52 inference(rewrite,[status(thm)],[])).
% 4.68/3.52 tff(9519,plain,
% 4.68/3.52 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s114, c_n1) | (~node1(s114)))),
% 4.68/3.52 inference(quant_inst,[status(thm)],[])).
% 4.68/3.52 tff(9520,plain,
% 4.68/3.52 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s114, c_n1) | (~node1(s114))),
% 4.68/3.52 inference(modus_ponens,[status(thm)],[9519, 9518])).
% 4.68/3.52 tff(9521,plain,
% 4.68/3.52 (~node1(s114)),
% 4.68/3.52 inference(unit_resolution,[status(thm)],[9520, 421, 9455])).
% 4.68/3.52 tff(9522,plain,
% 4.68/3.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s114, s115)) | node7(s114, s115))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s114, s115)) | node7(s114, s115))),
% 4.68/3.52 inference(rewrite,[status(thm)],[])).
% 4.68/3.52 tff(9523,plain,
% 4.68/3.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s114, s115)) | node7(s114, s115))),
% 4.68/3.52 inference(quant_inst,[status(thm)],[])).
% 4.68/3.52 tff(9524,plain,
% 4.68/3.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s114, s115)) | node7(s114, s115)),
% 4.68/3.52 inference(modus_ponens,[status(thm)],[9523, 9522])).
% 4.68/3.52 tff(9525,plain,
% 4.68/3.52 (node7(s114, s115)),
% 4.68/3.52 inference(unit_resolution,[status(thm)],[9524, 206, 9466])).
% 4.68/3.52 tff(9526,plain,
% 4.68/3.52 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s115, c_n1) | (~m_main_v_state1(s114, c_c1)) | node1(s114) | node2(s114) | node3(s114) | node4(s114) | node5(s114) | (~node7(s114, s115)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s115, c_n1) | (~m_main_v_state1(s114, c_c1)) | node1(s114) | node2(s114) | node3(s114) | node4(s114) | node5(s114) | (~node7(s114, s115)))),
% 4.68/3.52 inference(rewrite,[status(thm)],[])).
% 4.68/3.52 tff(9527,plain,
% 4.68/3.52 (((~m_main_v_state1(s114, c_c1)) | node1(s114) | node2(s114) | node3(s114) | node4(s114) | node5(s114) | (~node7(s114, s115)) | m_main_v_state1(s115, c_n1)) <=> (m_main_v_state1(s115, c_n1) | (~m_main_v_state1(s114, c_c1)) | node1(s114) | node2(s114) | node3(s114) | node4(s114) | node5(s114) | (~node7(s114, s115)))),
% 4.68/3.52 inference(rewrite,[status(thm)],[])).
% 4.68/3.52 tff(9528,plain,
% 4.68/3.52 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s114, c_c1)) | node1(s114) | node2(s114) | node3(s114) | node4(s114) | node5(s114) | (~node7(s114, s115)) | m_main_v_state1(s115, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s115, c_n1) | (~m_main_v_state1(s114, c_c1)) | node1(s114) | node2(s114) | node3(s114) | node4(s114) | node5(s114) | (~node7(s114, s115))))),
% 4.68/3.52 inference(monotonicity,[status(thm)],[9527])).
% 4.68/3.52 tff(9529,plain,
% 4.68/3.52 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s114, c_c1)) | node1(s114) | node2(s114) | node3(s114) | node4(s114) | node5(s114) | (~node7(s114, s115)) | m_main_v_state1(s115, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s115, c_n1) | (~m_main_v_state1(s114, c_c1)) | node1(s114) | node2(s114) | node3(s114) | node4(s114) | node5(s114) | (~node7(s114, s115)))),
% 4.68/3.52 inference(transitivity,[status(thm)],[9528, 9526])).
% 4.68/3.52 tff(9530,plain,
% 4.68/3.52 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s114, c_c1)) | node1(s114) | node2(s114) | node3(s114) | node4(s114) | node5(s114) | (~node7(s114, s115)) | m_main_v_state1(s115, c_n1))),
% 4.68/3.52 inference(quant_inst,[status(thm)],[])).
% 4.68/3.52 tff(9531,plain,
% 4.68/3.52 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s115, c_n1) | (~m_main_v_state1(s114, c_c1)) | node1(s114) | node2(s114) | node3(s114) | node4(s114) | node5(s114) | (~node7(s114, s115))),
% 4.68/3.52 inference(modus_ponens,[status(thm)],[9530, 9529])).
% 4.68/3.52 tff(9532,plain,
% 4.68/3.52 (m_main_v_state1(s115, c_n1) | (~m_main_v_state1(s114, c_c1)) | node1(s114) | node2(s114) | node3(s114) | node4(s114) | node5(s114)),
% 4.68/3.52 inference(unit_resolution,[status(thm)],[9531, 584, 9525])).
% 4.68/3.52 tff(9533,plain,
% 4.68/3.52 (m_main_v_state1(s115, c_n1)),
% 4.68/3.52 inference(unit_resolution,[status(thm)],[9532, 9521, 9451, 9517, 9513, 9509, 9505])).
% 4.68/3.52 tff(9534,plain,
% 4.68/3.52 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s115, c_n2) | (~node8(s115)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s115, c_n2) | (~node8(s115)))),
% 4.68/3.52 inference(rewrite,[status(thm)],[])).
% 4.68/3.52 tff(9535,plain,
% 4.68/3.52 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s115, c_n2) | (~node8(s115)))),
% 4.68/3.52 inference(quant_inst,[status(thm)],[])).
% 4.68/3.52 tff(9536,plain,
% 4.68/3.52 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s115, c_n2) | (~node8(s115))),
% 4.68/3.52 inference(modus_ponens,[status(thm)],[9535, 9534])).
% 4.68/3.52 tff(9537,plain,
% 4.68/3.52 (~node8(s115)),
% 4.68/3.52 inference(unit_resolution,[status(thm)],[9536, 271, 9482])).
% 4.68/3.52 tff(9538,plain,
% 4.68/3.52 (succ(s115, s116) <=> succ(s115, s116)),
% 4.68/3.52 inference(rewrite,[status(thm)],[])).
% 4.68/3.52 tff(9539,axiom,(succ(s115, s116)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound116')).
% 4.68/3.52 tff(9540,plain,
% 4.68/3.52 (succ(s115, s116)),
% 4.68/3.52 inference(modus_ponens,[status(thm)],[9539, 9538])).
% 4.68/3.52 tff(9541,plain,
% 4.68/3.52 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s115, s116)) | trans(s115, s116))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s115, s116)) | trans(s115, s116))),
% 4.68/3.52 inference(rewrite,[status(thm)],[])).
% 4.68/3.52 tff(9542,plain,
% 4.68/3.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s115, s116)) | trans(s115, s116))),
% 4.68/3.52 inference(quant_inst,[status(thm)],[])).
% 4.68/3.52 tff(9543,plain,
% 4.68/3.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s115, s116)) | trans(s115, s116)),
% 4.68/3.52 inference(modus_ponens,[status(thm)],[9542, 9541])).
% 4.68/3.52 tff(9544,plain,
% 4.68/3.52 (trans(s115, s116)),
% 4.68/3.52 inference(unit_resolution,[status(thm)],[9543, 9540, 32])).
% 4.68/3.52 tff(9545,plain,
% 4.68/3.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s115, s116)) | node14(s115, s116))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s115, s116)) | node14(s115, s116))),
% 4.68/3.52 inference(rewrite,[status(thm)],[])).
% 4.68/3.52 tff(9546,plain,
% 4.68/3.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s115, s116)) | node14(s115, s116))),
% 4.68/3.52 inference(quant_inst,[status(thm)],[])).
% 4.68/3.52 tff(9547,plain,
% 4.68/3.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s115, s116)) | node14(s115, s116)),
% 4.68/3.52 inference(modus_ponens,[status(thm)],[9546, 9545])).
% 4.68/3.52 tff(9548,plain,
% 4.68/3.52 (node14(s115, s116)),
% 4.68/3.52 inference(unit_resolution,[status(thm)],[9547, 46, 9544])).
% 4.68/3.52 tff(9549,plain,
% 4.68/3.52 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s115, c_n1)) | (~m_main_v_state2(s115, c_t2)) | node9(s115) | node8(s115) | node10(s115) | (~node14(s115, s116)) | m_main_v_state2(s116, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s115, c_n1)) | (~m_main_v_state2(s115, c_t2)) | node9(s115) | node8(s115) | node10(s115) | (~node14(s115, s116)) | m_main_v_state2(s116, c_c2))),
% 4.68/3.52 inference(rewrite,[status(thm)],[])).
% 4.68/3.52 tff(9550,plain,
% 4.68/3.52 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s115, c_n1)) | (~m_main_v_state2(s115, c_t2)) | node9(s115) | node8(s115) | node10(s115) | (~node14(s115, s116)) | m_main_v_state2(s116, c_c2))),
% 4.68/3.52 inference(quant_inst,[status(thm)],[])).
% 4.68/3.52 tff(9551,plain,
% 4.68/3.52 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s115, c_n1)) | (~m_main_v_state2(s115, c_t2)) | node9(s115) | node8(s115) | node10(s115) | (~node14(s115, s116)) | m_main_v_state2(s116, c_c2)),
% 4.68/3.52 inference(modus_ponens,[status(thm)],[9550, 9549])).
% 4.68/3.52 tff(9552,plain,
% 4.68/3.52 ((~m_main_v_state1(s115, c_n1)) | (~m_main_v_state2(s115, c_t2)) | node9(s115) | node8(s115) | node10(s115) | m_main_v_state2(s116, c_c2)),
% 4.68/3.52 inference(unit_resolution,[status(thm)],[9551, 617, 9548])).
% 4.68/3.52 tff(9553,plain,
% 4.68/3.52 (m_main_v_state2(s116, c_c2)),
% 4.68/3.52 inference(unit_resolution,[status(thm)],[9552, 9537, 9533, 9497, 9490, 9486])).
% 4.68/3.52 tff(9554,plain,
% 4.68/3.52 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s116, c_t2)) | (~m_main_v_state2(s116, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s116, c_t2)) | (~m_main_v_state2(s116, c_c2)))),
% 4.68/3.52 inference(rewrite,[status(thm)],[])).
% 4.68/3.52 tff(9555,plain,
% 4.68/3.52 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s116, c_t2)) | (~m_main_v_state2(s116, c_c2)))),
% 4.68/3.52 inference(quant_inst,[status(thm)],[])).
% 4.68/3.52 tff(9556,plain,
% 4.68/3.52 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s116, c_t2)) | (~m_main_v_state2(s116, c_c2))),
% 4.68/3.52 inference(modus_ponens,[status(thm)],[9555, 9554])).
% 4.68/3.52 tff(9557,plain,
% 4.68/3.52 (~m_main_v_state2(s116, c_t2)),
% 4.68/3.52 inference(unit_resolution,[status(thm)],[9556, 260, 9553])).
% 4.68/3.52 tff(9558,plain,
% 4.68/3.52 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s116, c_t2) | (~node12(s116)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s116, c_t2) | (~node12(s116)))),
% 4.68/3.52 inference(rewrite,[status(thm)],[])).
% 4.68/3.52 tff(9559,plain,
% 4.68/3.52 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s116, c_t2) | (~node12(s116)))),
% 4.68/3.52 inference(quant_inst,[status(thm)],[])).
% 4.68/3.52 tff(9560,plain,
% 4.68/3.52 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s116, c_t2) | (~node12(s116))),
% 4.68/3.52 inference(modus_ponens,[status(thm)],[9559, 9558])).
% 4.68/3.52 tff(9561,plain,
% 4.68/3.52 (~node12(s116)),
% 4.68/3.52 inference(unit_resolution,[status(thm)],[9560, 633, 9557])).
% 4.68/3.52 tff(9562,plain,
% 4.68/3.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s115, s116)) | node7(s115, s116))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s115, s116)) | node7(s115, s116))),
% 4.68/3.53 inference(rewrite,[status(thm)],[])).
% 4.68/3.53 tff(9563,plain,
% 4.68/3.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s115, s116)) | node7(s115, s116))),
% 4.68/3.53 inference(quant_inst,[status(thm)],[])).
% 4.68/3.53 tff(9564,plain,
% 4.68/3.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s115, s116)) | node7(s115, s116)),
% 4.68/3.53 inference(modus_ponens,[status(thm)],[9563, 9562])).
% 4.68/3.53 tff(9565,plain,
% 4.68/3.53 (node7(s115, s116)),
% 4.68/3.53 inference(unit_resolution,[status(thm)],[9564, 206, 9544])).
% 4.68/3.53 tff(9566,plain,
% 4.68/3.53 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s115, c_n1)) | (~m_main_v_state2(s115, c_t2)) | (~node7(s115, s116)) | m_main_v_state1(s116, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s115, c_n1)) | (~m_main_v_state2(s115, c_t2)) | (~node7(s115, s116)) | m_main_v_state1(s116, c_t1))),
% 4.68/3.53 inference(rewrite,[status(thm)],[])).
% 4.68/3.53 tff(9567,plain,
% 4.68/3.53 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s115, c_n1)) | (~m_main_v_state2(s115, c_t2)) | (~node7(s115, s116)) | m_main_v_state1(s116, c_t1))),
% 4.68/3.53 inference(quant_inst,[status(thm)],[])).
% 4.68/3.53 tff(9568,plain,
% 4.68/3.53 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s115, c_n1)) | (~m_main_v_state2(s115, c_t2)) | (~node7(s115, s116)) | m_main_v_state1(s116, c_t1)),
% 4.68/3.53 inference(modus_ponens,[status(thm)],[9567, 9566])).
% 4.68/3.53 tff(9569,plain,
% 4.68/3.53 ((~m_main_v_state1(s115, c_n1)) | (~m_main_v_state2(s115, c_t2)) | m_main_v_state1(s116, c_t1)),
% 4.68/3.53 inference(unit_resolution,[status(thm)],[9568, 651, 9565])).
% 4.68/3.53 tff(9570,plain,
% 4.68/3.53 (m_main_v_state1(s116, c_t1)),
% 4.68/3.53 inference(unit_resolution,[status(thm)],[9569, 9497, 9533])).
% 4.68/3.53 tff(9571,plain,
% 4.68/3.53 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s116, c_n1)) | (~m_main_v_state1(s116, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s116, c_n1)) | (~m_main_v_state1(s116, c_t1)))),
% 4.68/3.53 inference(rewrite,[status(thm)],[])).
% 4.68/3.53 tff(9572,plain,
% 4.68/3.53 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s116, c_n1)) | (~m_main_v_state1(s116, c_t1)))),
% 4.68/3.53 inference(quant_inst,[status(thm)],[])).
% 4.68/3.53 tff(9573,plain,
% 4.68/3.53 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s116, c_n1)) | (~m_main_v_state1(s116, c_t1))),
% 4.68/3.53 inference(modus_ponens,[status(thm)],[9572, 9571])).
% 4.68/3.53 tff(9574,plain,
% 4.68/3.53 (~m_main_v_state1(s116, c_n1)),
% 4.68/3.53 inference(unit_resolution,[status(thm)],[9573, 10, 9570])).
% 4.68/3.53 tff(9575,plain,
% 4.68/3.53 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s116, c_n1) | (~node11(s116)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s116, c_n1) | (~node11(s116)))),
% 4.68/3.53 inference(rewrite,[status(thm)],[])).
% 4.68/3.53 tff(9576,plain,
% 4.68/3.53 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s116, c_n1) | (~node11(s116)))),
% 4.68/3.53 inference(quant_inst,[status(thm)],[])).
% 4.68/3.53 tff(9577,plain,
% 4.68/3.53 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s116, c_n1) | (~node11(s116))),
% 4.68/3.53 inference(modus_ponens,[status(thm)],[9576, 9575])).
% 4.68/3.53 tff(9578,plain,
% 4.68/3.53 (~node11(s116)),
% 4.68/3.53 inference(unit_resolution,[status(thm)],[9577, 238, 9574])).
% 4.68/3.53 tff(9579,plain,
% 4.68/3.53 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s116, c_t1)) | (~m_main_v_state1(s116, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s116, c_t1)) | (~m_main_v_state1(s116, c_c1)))),
% 4.68/3.53 inference(rewrite,[status(thm)],[])).
% 4.68/3.53 tff(9580,plain,
% 4.68/3.53 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s116, c_t1)) | (~m_main_v_state1(s116, c_c1)))),
% 4.68/3.53 inference(quant_inst,[status(thm)],[])).
% 4.68/3.53 tff(9581,plain,
% 4.68/3.53 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s116, c_t1)) | (~m_main_v_state1(s116, c_c1))),
% 4.68/3.53 inference(modus_ponens,[status(thm)],[9580, 9579])).
% 4.68/3.53 tff(9582,plain,
% 4.68/3.53 (~m_main_v_state1(s116, c_c1)),
% 4.68/3.53 inference(unit_resolution,[status(thm)],[9581, 539, 9570])).
% 4.68/3.53 tff(9583,plain,
% 4.68/3.53 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s116, c_c1) | (~node10(s116)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s116, c_c1) | (~node10(s116)))),
% 4.68/3.53 inference(rewrite,[status(thm)],[])).
% 4.68/3.53 tff(9584,plain,
% 4.68/3.53 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s116, c_c1) | (~node10(s116)))),
% 4.68/3.53 inference(quant_inst,[status(thm)],[])).
% 4.68/3.53 tff(9585,plain,
% 4.68/3.53 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s116, c_c1) | (~node10(s116))),
% 4.68/3.53 inference(modus_ponens,[status(thm)],[9584, 9583])).
% 4.68/3.53 tff(9586,plain,
% 4.68/3.53 (~node10(s116)),
% 4.68/3.53 inference(unit_resolution,[status(thm)],[9585, 675, 9582])).
% 4.68/3.53 tff(9587,plain,
% 4.68/3.53 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s116, c_n1) | (~node9(s116)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s116, c_n1) | (~node9(s116)))),
% 4.68/3.53 inference(rewrite,[status(thm)],[])).
% 4.68/3.53 tff(9588,plain,
% 4.68/3.53 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s116, c_n1) | (~node9(s116)))),
% 4.68/3.53 inference(quant_inst,[status(thm)],[])).
% 4.68/3.53 tff(9589,plain,
% 4.68/3.53 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s116, c_n1) | (~node9(s116))),
% 4.68/3.53 inference(modus_ponens,[status(thm)],[9588, 9587])).
% 4.68/3.53 tff(9590,plain,
% 4.68/3.53 (~node9(s116)),
% 4.68/3.53 inference(unit_resolution,[status(thm)],[9589, 686, 9574])).
% 4.68/3.53 tff(9591,plain,
% 4.68/3.53 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s116, c_n2)) | (~m_main_v_state2(s116, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s116, c_n2)) | (~m_main_v_state2(s116, c_c2)))),
% 4.68/3.53 inference(rewrite,[status(thm)],[])).
% 4.68/3.53 tff(9592,plain,
% 4.68/3.53 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s116, c_n2)) | (~m_main_v_state2(s116, c_c2)))),
% 4.68/3.53 inference(quant_inst,[status(thm)],[])).
% 4.68/3.53 tff(9593,plain,
% 4.68/3.53 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s116, c_n2)) | (~m_main_v_state2(s116, c_c2))),
% 4.68/3.53 inference(modus_ponens,[status(thm)],[9592, 9591])).
% 4.68/3.53 tff(9594,plain,
% 4.68/3.53 (~m_main_v_state2(s116, c_n2)),
% 4.68/3.53 inference(unit_resolution,[status(thm)],[9593, 697, 9553])).
% 4.68/3.53 tff(9595,plain,
% 4.68/3.53 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s116, c_n2) | (~node8(s116)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s116, c_n2) | (~node8(s116)))),
% 4.68/3.53 inference(rewrite,[status(thm)],[])).
% 4.68/3.53 tff(9596,plain,
% 4.68/3.53 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s116, c_n2) | (~node8(s116)))),
% 4.68/3.53 inference(quant_inst,[status(thm)],[])).
% 4.68/3.53 tff(9597,plain,
% 4.68/3.53 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s116, c_n2) | (~node8(s116))),
% 4.68/3.53 inference(modus_ponens,[status(thm)],[9596, 9595])).
% 4.68/3.53 tff(9598,plain,
% 4.68/3.53 (~node8(s116)),
% 4.68/3.53 inference(unit_resolution,[status(thm)],[9597, 271, 9594])).
% 4.68/3.53 tff(9599,plain,
% 4.68/3.53 (succ(s116, s117) <=> succ(s116, s117)),
% 4.68/3.53 inference(rewrite,[status(thm)],[])).
% 4.68/3.53 tff(9600,axiom,(succ(s116, s117)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound117')).
% 4.68/3.53 tff(9601,plain,
% 4.68/3.53 (succ(s116, s117)),
% 4.68/3.53 inference(modus_ponens,[status(thm)],[9600, 9599])).
% 4.68/3.53 tff(9602,plain,
% 4.68/3.53 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s116, s117)) | trans(s116, s117))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s116, s117)) | trans(s116, s117))),
% 4.68/3.53 inference(rewrite,[status(thm)],[])).
% 4.68/3.53 tff(9603,plain,
% 4.68/3.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s116, s117)) | trans(s116, s117))),
% 4.68/3.53 inference(quant_inst,[status(thm)],[])).
% 4.68/3.53 tff(9604,plain,
% 4.68/3.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s116, s117)) | trans(s116, s117)),
% 4.68/3.53 inference(modus_ponens,[status(thm)],[9603, 9602])).
% 4.68/3.53 tff(9605,plain,
% 4.68/3.53 (trans(s116, s117)),
% 4.68/3.53 inference(unit_resolution,[status(thm)],[9604, 9601, 32])).
% 4.68/3.53 tff(9606,plain,
% 4.68/3.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s116, s117)) | node14(s116, s117))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s116, s117)) | node14(s116, s117))),
% 4.68/3.53 inference(rewrite,[status(thm)],[])).
% 4.68/3.53 tff(9607,plain,
% 4.68/3.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s116, s117)) | node14(s116, s117))),
% 4.68/3.53 inference(quant_inst,[status(thm)],[])).
% 4.68/3.53 tff(9608,plain,
% 4.68/3.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s116, s117)) | node14(s116, s117)),
% 4.68/3.53 inference(modus_ponens,[status(thm)],[9607, 9606])).
% 4.68/3.53 tff(9609,plain,
% 4.68/3.53 (node14(s116, s117)),
% 4.68/3.53 inference(unit_resolution,[status(thm)],[9608, 46, 9605])).
% 4.68/3.53 tff(9610,plain,
% 4.68/3.53 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s117, c_n2) | node9(s116) | node8(s116) | node10(s116) | node11(s116) | node12(s116) | (~node14(s116, s117)) | (~m_main_v_state2(s116, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s117, c_n2) | node9(s116) | node8(s116) | node10(s116) | node11(s116) | node12(s116) | (~node14(s116, s117)) | (~m_main_v_state2(s116, c_c2)))),
% 4.68/3.53 inference(rewrite,[status(thm)],[])).
% 4.68/3.53 tff(9611,plain,
% 4.68/3.53 (((~m_main_v_state2(s116, c_c2)) | node9(s116) | node8(s116) | node10(s116) | node11(s116) | node12(s116) | (~node14(s116, s117)) | m_main_v_state2(s117, c_n2)) <=> (m_main_v_state2(s117, c_n2) | node9(s116) | node8(s116) | node10(s116) | node11(s116) | node12(s116) | (~node14(s116, s117)) | (~m_main_v_state2(s116, c_c2)))),
% 4.68/3.53 inference(rewrite,[status(thm)],[])).
% 4.68/3.53 tff(9612,plain,
% 4.68/3.53 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s116, c_c2)) | node9(s116) | node8(s116) | node10(s116) | node11(s116) | node12(s116) | (~node14(s116, s117)) | m_main_v_state2(s117, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s117, c_n2) | node9(s116) | node8(s116) | node10(s116) | node11(s116) | node12(s116) | (~node14(s116, s117)) | (~m_main_v_state2(s116, c_c2))))),
% 4.68/3.53 inference(monotonicity,[status(thm)],[9611])).
% 4.68/3.53 tff(9613,plain,
% 4.68/3.53 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s116, c_c2)) | node9(s116) | node8(s116) | node10(s116) | node11(s116) | node12(s116) | (~node14(s116, s117)) | m_main_v_state2(s117, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s117, c_n2) | node9(s116) | node8(s116) | node10(s116) | node11(s116) | node12(s116) | (~node14(s116, s117)) | (~m_main_v_state2(s116, c_c2)))),
% 4.68/3.53 inference(transitivity,[status(thm)],[9612, 9610])).
% 4.68/3.53 tff(9614,plain,
% 4.68/3.53 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s116, c_c2)) | node9(s116) | node8(s116) | node10(s116) | node11(s116) | node12(s116) | (~node14(s116, s117)) | m_main_v_state2(s117, c_n2))),
% 4.68/3.53 inference(quant_inst,[status(thm)],[])).
% 4.68/3.53 tff(9615,plain,
% 4.68/3.53 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s117, c_n2) | node9(s116) | node8(s116) | node10(s116) | node11(s116) | node12(s116) | (~node14(s116, s117)) | (~m_main_v_state2(s116, c_c2))),
% 4.68/3.53 inference(modus_ponens,[status(thm)],[9614, 9613])).
% 4.68/3.53 tff(9616,plain,
% 4.68/3.53 (m_main_v_state2(s117, c_n2) | node9(s116) | node8(s116) | node10(s116) | node11(s116) | node12(s116) | (~m_main_v_state2(s116, c_c2))),
% 4.68/3.53 inference(unit_resolution,[status(thm)],[9615, 726, 9609])).
% 4.68/3.53 tff(9617,plain,
% 4.68/3.53 (m_main_v_state2(s117, c_n2)),
% 4.68/3.53 inference(unit_resolution,[status(thm)],[9616, 9598, 9553, 9590, 9586, 9578, 9561])).
% 4.68/3.53 tff(9618,plain,
% 4.68/3.53 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s117, c_n2)) | (~m_main_v_state2(s117, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s117, c_n2)) | (~m_main_v_state2(s117, c_c2)))),
% 4.68/3.53 inference(rewrite,[status(thm)],[])).
% 4.68/3.53 tff(9619,plain,
% 4.68/3.53 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s117, c_n2)) | (~m_main_v_state2(s117, c_c2)))),
% 4.68/3.53 inference(quant_inst,[status(thm)],[])).
% 4.68/3.53 tff(9620,plain,
% 4.68/3.53 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s117, c_n2)) | (~m_main_v_state2(s117, c_c2))),
% 4.68/3.53 inference(modus_ponens,[status(thm)],[9619, 9618])).
% 4.68/3.53 tff(9621,plain,
% 4.68/3.53 (~m_main_v_state2(s117, c_c2)),
% 4.68/3.53 inference(unit_resolution,[status(thm)],[9620, 697, 9617])).
% 4.68/3.53 tff(9622,plain,
% 4.68/3.53 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s117, c_c2) | (~node3(s117)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s117, c_c2) | (~node3(s117)))),
% 4.68/3.53 inference(rewrite,[status(thm)],[])).
% 4.68/3.53 tff(9623,plain,
% 4.68/3.53 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s117, c_c2) | (~node3(s117)))),
% 4.68/3.53 inference(quant_inst,[status(thm)],[])).
% 4.68/3.53 tff(9624,plain,
% 4.68/3.53 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s117, c_c2) | (~node3(s117))),
% 4.68/3.53 inference(modus_ponens,[status(thm)],[9623, 9622])).
% 4.68/3.53 tff(9625,plain,
% 4.68/3.53 (~node3(s117)),
% 4.68/3.53 inference(unit_resolution,[status(thm)],[9624, 399, 9621])).
% 4.68/3.53 tff(9626,plain,
% 4.68/3.53 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s116, c_n1) | (~node1(s116)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s116, c_n1) | (~node1(s116)))),
% 4.68/3.53 inference(rewrite,[status(thm)],[])).
% 4.68/3.53 tff(9627,plain,
% 4.68/3.53 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s116, c_n1) | (~node1(s116)))),
% 4.68/3.53 inference(quant_inst,[status(thm)],[])).
% 4.68/3.53 tff(9628,plain,
% 4.68/3.53 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s116, c_n1) | (~node1(s116))),
% 4.68/3.53 inference(modus_ponens,[status(thm)],[9627, 9626])).
% 4.68/3.53 tff(9629,plain,
% 4.68/3.53 (~node1(s116)),
% 4.68/3.53 inference(unit_resolution,[status(thm)],[9628, 421, 9574])).
% 4.68/3.53 tff(9630,plain,
% 4.68/3.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s115, s116)) | node18(s115, s116))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s115, s116)) | node18(s115, s116))),
% 4.68/3.53 inference(rewrite,[status(thm)],[])).
% 4.68/3.53 tff(9631,plain,
% 4.68/3.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s115, s116)) | node18(s115, s116))),
% 4.68/3.53 inference(quant_inst,[status(thm)],[])).
% 4.68/3.53 tff(9632,plain,
% 4.68/3.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s115, s116)) | node18(s115, s116)),
% 4.68/3.53 inference(modus_ponens,[status(thm)],[9631, 9630])).
% 4.68/3.53 tff(9633,plain,
% 4.68/3.53 (node18(s115, s116)),
% 4.68/3.53 inference(unit_resolution,[status(thm)],[9632, 125, 9544])).
% 4.68/3.53 tff(9634,plain,
% 4.68/3.53 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s115, c_n1)) | (~m_main_v_state2(s115, c_t2)) | (~node18(s115, s116)) | m_main_v_turn(s116, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s115, c_n1)) | (~m_main_v_state2(s115, c_t2)) | (~node18(s115, s116)) | m_main_v_turn(s116, c_2))),
% 4.68/3.53 inference(rewrite,[status(thm)],[])).
% 4.68/3.53 tff(9635,plain,
% 4.68/3.53 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s115, c_n1)) | (~m_main_v_state2(s115, c_t2)) | (~node18(s115, s116)) | m_main_v_turn(s116, c_2))),
% 4.68/3.53 inference(quant_inst,[status(thm)],[])).
% 4.68/3.53 tff(9636,plain,
% 4.68/3.53 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s115, c_n1)) | (~m_main_v_state2(s115, c_t2)) | (~node18(s115, s116)) | m_main_v_turn(s116, c_2)),
% 4.68/3.53 inference(modus_ponens,[status(thm)],[9635, 9634])).
% 4.68/3.53 tff(9637,plain,
% 4.68/3.53 ((~m_main_v_state1(s115, c_n1)) | (~m_main_v_state2(s115, c_t2)) | m_main_v_turn(s116, c_2)),
% 4.68/3.53 inference(unit_resolution,[status(thm)],[9636, 760, 9633])).
% 4.68/3.53 tff(9638,plain,
% 4.68/3.53 (m_main_v_turn(s116, c_2)),
% 4.68/3.53 inference(unit_resolution,[status(thm)],[9637, 9497, 9533])).
% 4.68/3.53 tff(9639,plain,
% 4.68/3.53 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s116, c_1)) | (~m_main_v_turn(s116, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s116, c_1)) | (~m_main_v_turn(s116, c_2)))),
% 4.68/3.53 inference(rewrite,[status(thm)],[])).
% 4.68/3.53 tff(9640,plain,
% 4.68/3.53 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s116, c_1)) | (~m_main_v_turn(s116, c_2)))),
% 4.68/3.53 inference(quant_inst,[status(thm)],[])).
% 4.68/3.53 tff(9641,plain,
% 4.68/3.53 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s116, c_1)) | (~m_main_v_turn(s116, c_2))),
% 4.68/3.53 inference(modus_ponens,[status(thm)],[9640, 9639])).
% 4.68/3.53 tff(9642,plain,
% 4.68/3.53 (~m_main_v_turn(s116, c_1)),
% 4.68/3.53 inference(unit_resolution,[status(thm)],[9641, 156, 9638])).
% 4.68/3.53 tff(9643,plain,
% 4.68/3.53 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s116, c_1) | (~node5(s116)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s116, c_1) | (~node5(s116)))),
% 4.68/3.53 inference(rewrite,[status(thm)],[])).
% 4.68/3.53 tff(9644,plain,
% 4.68/3.53 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s116, c_1) | (~node5(s116)))),
% 4.68/3.53 inference(quant_inst,[status(thm)],[])).
% 4.68/3.53 tff(9645,plain,
% 4.68/3.53 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s116, c_1) | (~node5(s116))),
% 4.68/3.53 inference(modus_ponens,[status(thm)],[9644, 9643])).
% 4.68/3.53 tff(9646,plain,
% 4.68/3.53 (~node5(s116)),
% 4.68/3.53 inference(unit_resolution,[status(thm)],[9645, 776, 9642])).
% 4.68/3.53 tff(9647,plain,
% 4.68/3.53 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s116, c_n1) | (~node2(s116)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s116, c_n1) | (~node2(s116)))),
% 4.68/3.53 inference(rewrite,[status(thm)],[])).
% 4.68/3.53 tff(9648,plain,
% 4.68/3.53 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s116, c_n1) | (~node2(s116)))),
% 4.68/3.53 inference(quant_inst,[status(thm)],[])).
% 4.68/3.53 tff(9649,plain,
% 4.68/3.53 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s116, c_n1) | (~node2(s116))),
% 4.68/3.53 inference(modus_ponens,[status(thm)],[9648, 9647])).
% 4.68/3.53 tff(9650,plain,
% 4.68/3.53 (~node2(s116)),
% 4.68/3.53 inference(unit_resolution,[status(thm)],[9649, 787, 9574])).
% 4.68/3.53 tff(9651,plain,
% 4.68/3.53 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s116, c_n1) | (~node3(s116)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s116, c_n1) | (~node3(s116)))),
% 4.68/3.53 inference(rewrite,[status(thm)],[])).
% 4.68/3.53 tff(9652,plain,
% 4.68/3.53 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s116, c_n1) | (~node3(s116)))),
% 4.68/3.53 inference(quant_inst,[status(thm)],[])).
% 4.68/3.53 tff(9653,plain,
% 4.68/3.53 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s116, c_n1) | (~node3(s116))),
% 4.68/3.53 inference(modus_ponens,[status(thm)],[9652, 9651])).
% 4.68/3.53 tff(9654,plain,
% 4.68/3.53 (~node3(s116)),
% 4.68/3.53 inference(unit_resolution,[status(thm)],[9653, 798, 9574])).
% 4.68/3.53 tff(9655,plain,
% 4.68/3.53 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s116, c_n2) | (~node4(s116)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s116, c_n2) | (~node4(s116)))),
% 4.68/3.53 inference(rewrite,[status(thm)],[])).
% 4.68/3.53 tff(9656,plain,
% 4.68/3.53 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s116, c_n2) | (~node4(s116)))),
% 4.68/3.53 inference(quant_inst,[status(thm)],[])).
% 4.68/3.53 tff(9657,plain,
% 4.68/3.53 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s116, c_n2) | (~node4(s116))),
% 4.68/3.53 inference(modus_ponens,[status(thm)],[9656, 9655])).
% 4.68/3.53 tff(9658,plain,
% 4.68/3.53 (~node4(s116)),
% 4.68/3.53 inference(unit_resolution,[status(thm)],[9657, 388, 9594])).
% 4.68/3.53 tff(9659,plain,
% 4.68/3.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s116, s117)) | node7(s116, s117))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s116, s117)) | node7(s116, s117))),
% 4.68/3.53 inference(rewrite,[status(thm)],[])).
% 4.68/3.53 tff(9660,plain,
% 4.68/3.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s116, s117)) | node7(s116, s117))),
% 4.68/3.53 inference(quant_inst,[status(thm)],[])).
% 4.68/3.53 tff(9661,plain,
% 4.68/3.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s116, s117)) | node7(s116, s117)),
% 4.68/3.53 inference(modus_ponens,[status(thm)],[9660, 9659])).
% 4.68/3.53 tff(9662,plain,
% 4.68/3.53 (node7(s116, s117)),
% 4.68/3.53 inference(unit_resolution,[status(thm)],[9661, 206, 9605])).
% 4.68/3.53 tff(9663,plain,
% 4.68/3.53 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s116, c_c1) | node1(s116) | node2(s116) | node3(s116) | node4(s116) | node5(s116) | node6(s116, s117) | (~node7(s116, s117)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s116, c_c1) | node1(s116) | node2(s116) | node3(s116) | node4(s116) | node5(s116) | node6(s116, s117) | (~node7(s116, s117)))),
% 4.68/3.53 inference(rewrite,[status(thm)],[])).
% 4.68/3.53 tff(9664,plain,
% 4.68/3.53 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s116, c_c1) | node1(s116) | node2(s116) | node3(s116) | node4(s116) | node5(s116) | node6(s116, s117) | (~node7(s116, s117)))),
% 4.68/3.53 inference(quant_inst,[status(thm)],[])).
% 4.68/3.53 tff(9665,plain,
% 4.68/3.53 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s116, c_c1) | node1(s116) | node2(s116) | node3(s116) | node4(s116) | node5(s116) | node6(s116, s117) | (~node7(s116, s117))),
% 4.68/3.53 inference(modus_ponens,[status(thm)],[9664, 9663])).
% 4.68/3.53 tff(9666,plain,
% 4.68/3.53 (m_main_v_state1(s116, c_c1) | node1(s116) | node2(s116) | node3(s116) | node4(s116) | node5(s116) | node6(s116, s117)),
% 4.68/3.53 inference(unit_resolution,[status(thm)],[9665, 820, 9662])).
% 4.68/3.53 tff(9667,plain,
% 4.68/3.53 (node6(s116, s117)),
% 4.68/3.53 inference(unit_resolution,[status(thm)],[9666, 9658, 9582, 9654, 9650, 9646, 9629])).
% 4.68/3.53 tff(9668,plain,
% 4.68/3.53 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s116, c_n1) | (~m_main_v_state1(s117, c_n1)) | (~node6(s116, s117)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s116, c_n1) | (~m_main_v_state1(s117, c_n1)) | (~node6(s116, s117)))),
% 4.68/3.53 inference(rewrite,[status(thm)],[])).
% 4.68/3.53 tff(9669,plain,
% 4.68/3.53 (((~node6(s116, s117)) | m_main_v_state1(s116, c_n1) | (~m_main_v_state1(s117, c_n1))) <=> (m_main_v_state1(s116, c_n1) | (~m_main_v_state1(s117, c_n1)) | (~node6(s116, s117)))),
% 4.68/3.53 inference(rewrite,[status(thm)],[])).
% 4.68/3.53 tff(9670,plain,
% 4.68/3.53 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s116, s117)) | m_main_v_state1(s116, c_n1) | (~m_main_v_state1(s117, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s116, c_n1) | (~m_main_v_state1(s117, c_n1)) | (~node6(s116, s117))))),
% 4.68/3.53 inference(monotonicity,[status(thm)],[9669])).
% 4.68/3.53 tff(9671,plain,
% 4.68/3.53 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s116, s117)) | m_main_v_state1(s116, c_n1) | (~m_main_v_state1(s117, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s116, c_n1) | (~m_main_v_state1(s117, c_n1)) | (~node6(s116, s117)))),
% 4.68/3.53 inference(transitivity,[status(thm)],[9670, 9668])).
% 4.68/3.53 tff(9672,plain,
% 4.68/3.53 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s116, s117)) | m_main_v_state1(s116, c_n1) | (~m_main_v_state1(s117, c_n1)))),
% 4.68/3.53 inference(quant_inst,[status(thm)],[])).
% 4.68/3.53 tff(9673,plain,
% 4.68/3.53 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s116, c_n1) | (~m_main_v_state1(s117, c_n1)) | (~node6(s116, s117))),
% 4.68/3.53 inference(modus_ponens,[status(thm)],[9672, 9671])).
% 4.68/3.53 tff(9674,plain,
% 4.68/3.53 (~m_main_v_state1(s117, c_n1)),
% 4.68/3.53 inference(unit_resolution,[status(thm)],[9673, 835, 9574, 9667])).
% 4.68/3.53 tff(9675,plain,
% 4.68/3.53 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s117, c_n1) | (~node2(s117)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s117, c_n1) | (~node2(s117)))),
% 4.68/3.53 inference(rewrite,[status(thm)],[])).
% 4.68/3.53 tff(9676,plain,
% 4.68/3.53 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s117, c_n1) | (~node2(s117)))),
% 4.68/3.53 inference(quant_inst,[status(thm)],[])).
% 4.68/3.53 tff(9677,plain,
% 4.68/3.53 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s117, c_n1) | (~node2(s117))),
% 4.68/3.53 inference(modus_ponens,[status(thm)],[9676, 9675])).
% 4.68/3.53 tff(9678,plain,
% 4.68/3.53 (~node2(s117)),
% 4.68/3.53 inference(unit_resolution,[status(thm)],[9677, 787, 9674])).
% 4.68/3.53 tff(9679,plain,
% 4.68/3.53 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s116, c_t1)) | m_main_v_state1(s117, c_t1) | (~node6(s116, s117)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s116, c_t1)) | m_main_v_state1(s117, c_t1) | (~node6(s116, s117)))),
% 4.68/3.53 inference(rewrite,[status(thm)],[])).
% 4.68/3.53 tff(9680,plain,
% 4.68/3.53 (((~node6(s116, s117)) | (~m_main_v_state1(s116, c_t1)) | m_main_v_state1(s117, c_t1)) <=> ((~m_main_v_state1(s116, c_t1)) | m_main_v_state1(s117, c_t1) | (~node6(s116, s117)))),
% 4.68/3.53 inference(rewrite,[status(thm)],[])).
% 4.68/3.53 tff(9681,plain,
% 4.68/3.53 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s116, s117)) | (~m_main_v_state1(s116, c_t1)) | m_main_v_state1(s117, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s116, c_t1)) | m_main_v_state1(s117, c_t1) | (~node6(s116, s117))))),
% 4.70/3.54 inference(monotonicity,[status(thm)],[9680])).
% 4.70/3.54 tff(9682,plain,
% 4.70/3.54 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s116, s117)) | (~m_main_v_state1(s116, c_t1)) | m_main_v_state1(s117, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s116, c_t1)) | m_main_v_state1(s117, c_t1) | (~node6(s116, s117)))),
% 4.70/3.54 inference(transitivity,[status(thm)],[9681, 9679])).
% 4.70/3.54 tff(9683,plain,
% 4.70/3.54 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s116, s117)) | (~m_main_v_state1(s116, c_t1)) | m_main_v_state1(s117, c_t1))),
% 4.70/3.54 inference(quant_inst,[status(thm)],[])).
% 4.70/3.54 tff(9684,plain,
% 4.70/3.54 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s116, c_t1)) | m_main_v_state1(s117, c_t1) | (~node6(s116, s117))),
% 4.70/3.54 inference(modus_ponens,[status(thm)],[9683, 9682])).
% 4.70/3.54 tff(9685,plain,
% 4.70/3.54 (m_main_v_state1(s117, c_t1)),
% 4.70/3.54 inference(unit_resolution,[status(thm)],[9684, 856, 9570, 9667])).
% 4.70/3.54 tff(9686,plain,
% 4.70/3.54 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s117, c_n2)) | (~m_main_v_state2(s117, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s117, c_n2)) | (~m_main_v_state2(s117, c_t2)))),
% 4.70/3.54 inference(rewrite,[status(thm)],[])).
% 4.70/3.54 tff(9687,plain,
% 4.70/3.54 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s117, c_n2)) | (~m_main_v_state2(s117, c_t2)))),
% 4.70/3.54 inference(quant_inst,[status(thm)],[])).
% 4.70/3.54 tff(9688,plain,
% 4.70/3.54 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s117, c_n2)) | (~m_main_v_state2(s117, c_t2))),
% 4.70/3.54 inference(modus_ponens,[status(thm)],[9687, 9686])).
% 4.70/3.54 tff(9689,plain,
% 4.70/3.54 (~m_main_v_state2(s117, c_t2)),
% 4.70/3.54 inference(unit_resolution,[status(thm)],[9688, 77, 9617])).
% 4.70/3.54 tff(9690,plain,
% 4.70/3.54 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s117, c_t2) | (~node1(s117)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s117, c_t2) | (~node1(s117)))),
% 4.70/3.54 inference(rewrite,[status(thm)],[])).
% 4.70/3.54 tff(9691,plain,
% 4.70/3.54 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s117, c_t2) | (~node1(s117)))),
% 4.70/3.54 inference(quant_inst,[status(thm)],[])).
% 4.70/3.54 tff(9692,plain,
% 4.70/3.54 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s117, c_t2) | (~node1(s117))),
% 4.70/3.54 inference(modus_ponens,[status(thm)],[9691, 9690])).
% 4.70/3.54 tff(9693,plain,
% 4.70/3.54 (~node1(s117)),
% 4.70/3.54 inference(unit_resolution,[status(thm)],[9692, 195, 9689])).
% 4.70/3.54 tff(9694,plain,
% 4.70/3.54 (succ(s117, s118) <=> succ(s117, s118)),
% 4.70/3.54 inference(rewrite,[status(thm)],[])).
% 4.70/3.54 tff(9695,axiom,(succ(s117, s118)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound118')).
% 4.70/3.54 tff(9696,plain,
% 4.70/3.54 (succ(s117, s118)),
% 4.70/3.54 inference(modus_ponens,[status(thm)],[9695, 9694])).
% 4.70/3.54 tff(9697,plain,
% 4.70/3.54 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s117, s118)) | trans(s117, s118))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s117, s118)) | trans(s117, s118))),
% 4.70/3.54 inference(rewrite,[status(thm)],[])).
% 4.70/3.54 tff(9698,plain,
% 4.70/3.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s117, s118)) | trans(s117, s118))),
% 4.70/3.54 inference(quant_inst,[status(thm)],[])).
% 4.70/3.54 tff(9699,plain,
% 4.70/3.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s117, s118)) | trans(s117, s118)),
% 4.70/3.54 inference(modus_ponens,[status(thm)],[9698, 9697])).
% 4.70/3.54 tff(9700,plain,
% 4.70/3.54 (trans(s117, s118)),
% 4.70/3.54 inference(unit_resolution,[status(thm)],[9699, 9696, 32])).
% 4.70/3.54 tff(9701,plain,
% 4.70/3.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s117, s118)) | node7(s117, s118))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s117, s118)) | node7(s117, s118))),
% 4.70/3.54 inference(rewrite,[status(thm)],[])).
% 4.70/3.54 tff(9702,plain,
% 4.70/3.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s117, s118)) | node7(s117, s118))),
% 4.70/3.54 inference(quant_inst,[status(thm)],[])).
% 4.70/3.54 tff(9703,plain,
% 4.70/3.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s117, s118)) | node7(s117, s118)),
% 4.70/3.54 inference(modus_ponens,[status(thm)],[9702, 9701])).
% 4.70/3.54 tff(9704,plain,
% 4.70/3.54 (node7(s117, s118)),
% 4.70/3.54 inference(unit_resolution,[status(thm)],[9703, 206, 9700])).
% 4.70/3.54 tff(9705,plain,
% 4.70/3.54 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s117, c_t1)) | (~m_main_v_state2(s117, c_n2)) | m_main_v_state1(s118, c_c1) | node1(s117) | node2(s117) | node3(s117) | (~node7(s117, s118)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s117, c_t1)) | (~m_main_v_state2(s117, c_n2)) | m_main_v_state1(s118, c_c1) | node1(s117) | node2(s117) | node3(s117) | (~node7(s117, s118)))),
% 4.70/3.54 inference(rewrite,[status(thm)],[])).
% 4.70/3.54 tff(9706,plain,
% 4.70/3.54 (((~m_main_v_state1(s117, c_t1)) | (~m_main_v_state2(s117, c_n2)) | node1(s117) | node2(s117) | node3(s117) | (~node7(s117, s118)) | m_main_v_state1(s118, c_c1)) <=> ((~m_main_v_state1(s117, c_t1)) | (~m_main_v_state2(s117, c_n2)) | m_main_v_state1(s118, c_c1) | node1(s117) | node2(s117) | node3(s117) | (~node7(s117, s118)))),
% 4.70/3.54 inference(rewrite,[status(thm)],[])).
% 4.70/3.54 tff(9707,plain,
% 4.70/3.54 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s117, c_t1)) | (~m_main_v_state2(s117, c_n2)) | node1(s117) | node2(s117) | node3(s117) | (~node7(s117, s118)) | m_main_v_state1(s118, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s117, c_t1)) | (~m_main_v_state2(s117, c_n2)) | m_main_v_state1(s118, c_c1) | node1(s117) | node2(s117) | node3(s117) | (~node7(s117, s118))))),
% 4.70/3.54 inference(monotonicity,[status(thm)],[9706])).
% 4.70/3.54 tff(9708,plain,
% 4.70/3.54 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s117, c_t1)) | (~m_main_v_state2(s117, c_n2)) | node1(s117) | node2(s117) | node3(s117) | (~node7(s117, s118)) | m_main_v_state1(s118, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s117, c_t1)) | (~m_main_v_state2(s117, c_n2)) | m_main_v_state1(s118, c_c1) | node1(s117) | node2(s117) | node3(s117) | (~node7(s117, s118)))),
% 4.70/3.54 inference(transitivity,[status(thm)],[9707, 9705])).
% 4.70/3.54 tff(9709,plain,
% 4.70/3.54 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s117, c_t1)) | (~m_main_v_state2(s117, c_n2)) | node1(s117) | node2(s117) | node3(s117) | (~node7(s117, s118)) | m_main_v_state1(s118, c_c1))),
% 4.70/3.54 inference(quant_inst,[status(thm)],[])).
% 4.70/3.54 tff(9710,plain,
% 4.70/3.54 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s117, c_t1)) | (~m_main_v_state2(s117, c_n2)) | m_main_v_state1(s118, c_c1) | node1(s117) | node2(s117) | node3(s117) | (~node7(s117, s118))),
% 4.70/3.54 inference(modus_ponens,[status(thm)],[9709, 9708])).
% 4.70/3.54 tff(9711,plain,
% 4.70/3.54 ((~m_main_v_state1(s117, c_t1)) | (~m_main_v_state2(s117, c_n2)) | m_main_v_state1(s118, c_c1) | node1(s117) | node2(s117) | node3(s117)),
% 4.70/3.54 inference(unit_resolution,[status(thm)],[9710, 892, 9704])).
% 4.70/3.54 tff(9712,plain,
% 4.70/3.54 (m_main_v_state1(s118, c_c1)),
% 4.70/3.54 inference(unit_resolution,[status(thm)],[9711, 9693, 9617, 9685, 9678, 9625])).
% 4.70/3.54 tff(9713,plain,
% 4.70/3.54 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s118, c_t1)) | (~m_main_v_state1(s118, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s118, c_t1)) | (~m_main_v_state1(s118, c_c1)))),
% 4.70/3.54 inference(rewrite,[status(thm)],[])).
% 4.70/3.54 tff(9714,plain,
% 4.70/3.54 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s118, c_t1)) | (~m_main_v_state1(s118, c_c1)))),
% 4.70/3.54 inference(quant_inst,[status(thm)],[])).
% 4.70/3.54 tff(9715,plain,
% 4.70/3.54 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s118, c_t1)) | (~m_main_v_state1(s118, c_c1))),
% 4.70/3.54 inference(modus_ponens,[status(thm)],[9714, 9713])).
% 4.70/3.54 tff(9716,plain,
% 4.70/3.54 (~m_main_v_state1(s118, c_t1)),
% 4.70/3.54 inference(unit_resolution,[status(thm)],[9715, 539, 9712])).
% 4.70/3.54 tff(9717,plain,
% 4.70/3.54 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s118, c_t1) | (~node5(s118)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s118, c_t1) | (~node5(s118)))),
% 4.70/3.54 inference(rewrite,[status(thm)],[])).
% 4.70/3.54 tff(9718,plain,
% 4.70/3.54 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s118, c_t1) | (~node5(s118)))),
% 4.70/3.54 inference(quant_inst,[status(thm)],[])).
% 4.70/3.54 tff(9719,plain,
% 4.70/3.54 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s118, c_t1) | (~node5(s118))),
% 4.70/3.54 inference(modus_ponens,[status(thm)],[9718, 9717])).
% 4.70/3.54 tff(9720,plain,
% 4.70/3.54 (~node5(s118)),
% 4.70/3.54 inference(unit_resolution,[status(thm)],[9719, 550, 9716])).
% 4.70/3.54 tff(9721,plain,
% 4.70/3.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s117, s118)) | node14(s117, s118))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s117, s118)) | node14(s117, s118))),
% 4.70/3.54 inference(rewrite,[status(thm)],[])).
% 4.70/3.54 tff(9722,plain,
% 4.70/3.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s117, s118)) | node14(s117, s118))),
% 4.70/3.54 inference(quant_inst,[status(thm)],[])).
% 4.70/3.54 tff(9723,plain,
% 4.70/3.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s117, s118)) | node14(s117, s118)),
% 4.70/3.54 inference(modus_ponens,[status(thm)],[9722, 9721])).
% 4.70/3.54 tff(9724,plain,
% 4.70/3.54 (node14(s117, s118)),
% 4.70/3.54 inference(unit_resolution,[status(thm)],[9723, 46, 9700])).
% 4.70/3.54 tff(9725,plain,
% 4.70/3.54 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s117, c_t1)) | (~m_main_v_state2(s117, c_n2)) | (~node14(s117, s118)) | m_main_v_state2(s118, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s117, c_t1)) | (~m_main_v_state2(s117, c_n2)) | (~node14(s117, s118)) | m_main_v_state2(s118, c_t2))),
% 4.70/3.54 inference(rewrite,[status(thm)],[])).
% 4.70/3.54 tff(9726,plain,
% 4.70/3.54 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s117, c_t1)) | (~m_main_v_state2(s117, c_n2)) | (~node14(s117, s118)) | m_main_v_state2(s118, c_t2))),
% 4.70/3.54 inference(quant_inst,[status(thm)],[])).
% 4.70/3.54 tff(9727,plain,
% 4.70/3.54 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s117, c_t1)) | (~m_main_v_state2(s117, c_n2)) | (~node14(s117, s118)) | m_main_v_state2(s118, c_t2)),
% 4.70/3.54 inference(modus_ponens,[status(thm)],[9726, 9725])).
% 4.70/3.54 tff(9728,plain,
% 4.70/3.54 ((~m_main_v_state1(s117, c_t1)) | (~m_main_v_state2(s117, c_n2)) | m_main_v_state2(s118, c_t2)),
% 4.70/3.54 inference(unit_resolution,[status(thm)],[9727, 922, 9724])).
% 4.70/3.54 tff(9729,plain,
% 4.70/3.54 (m_main_v_state2(s118, c_t2)),
% 4.70/3.54 inference(unit_resolution,[status(thm)],[9728, 9685, 9617])).
% 4.70/3.54 tff(9730,plain,
% 4.70/3.54 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s118, c_n2)) | (~m_main_v_state2(s118, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s118, c_n2)) | (~m_main_v_state2(s118, c_t2)))),
% 4.70/3.54 inference(rewrite,[status(thm)],[])).
% 4.70/3.54 tff(9731,plain,
% 4.70/3.54 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s118, c_n2)) | (~m_main_v_state2(s118, c_t2)))),
% 4.70/3.54 inference(quant_inst,[status(thm)],[])).
% 4.70/3.54 tff(9732,plain,
% 4.70/3.54 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s118, c_n2)) | (~m_main_v_state2(s118, c_t2))),
% 4.70/3.54 inference(modus_ponens,[status(thm)],[9731, 9730])).
% 4.70/3.54 tff(9733,plain,
% 4.70/3.54 (~m_main_v_state2(s118, c_n2)),
% 4.70/3.54 inference(unit_resolution,[status(thm)],[9732, 77, 9729])).
% 4.70/3.54 tff(9734,plain,
% 4.70/3.54 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s118, c_n2) | (~node4(s118)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s118, c_n2) | (~node4(s118)))),
% 4.70/3.54 inference(rewrite,[status(thm)],[])).
% 4.70/3.54 tff(9735,plain,
% 4.70/3.54 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s118, c_n2) | (~node4(s118)))),
% 4.70/3.54 inference(quant_inst,[status(thm)],[])).
% 4.70/3.54 tff(9736,plain,
% 4.70/3.54 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s118, c_n2) | (~node4(s118))),
% 4.70/3.54 inference(modus_ponens,[status(thm)],[9735, 9734])).
% 4.70/3.54 tff(9737,plain,
% 4.70/3.54 (~node4(s118)),
% 4.70/3.54 inference(unit_resolution,[status(thm)],[9736, 388, 9733])).
% 4.70/3.54 tff(9738,plain,
% 4.70/3.54 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s118, c_t2)) | (~m_main_v_state2(s118, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s118, c_t2)) | (~m_main_v_state2(s118, c_c2)))),
% 4.70/3.54 inference(rewrite,[status(thm)],[])).
% 4.70/3.54 tff(9739,plain,
% 4.70/3.54 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s118, c_t2)) | (~m_main_v_state2(s118, c_c2)))),
% 4.70/3.54 inference(quant_inst,[status(thm)],[])).
% 4.70/3.54 tff(9740,plain,
% 4.70/3.54 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s118, c_t2)) | (~m_main_v_state2(s118, c_c2))),
% 4.70/3.54 inference(modus_ponens,[status(thm)],[9739, 9738])).
% 4.70/3.54 tff(9741,plain,
% 4.70/3.54 (~m_main_v_state2(s118, c_c2)),
% 4.70/3.54 inference(unit_resolution,[status(thm)],[9740, 260, 9729])).
% 4.70/3.54 tff(9742,plain,
% 4.70/3.54 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s118, c_c2) | (~node3(s118)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s118, c_c2) | (~node3(s118)))),
% 4.70/3.54 inference(rewrite,[status(thm)],[])).
% 4.70/3.54 tff(9743,plain,
% 4.70/3.54 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s118, c_c2) | (~node3(s118)))),
% 4.70/3.54 inference(quant_inst,[status(thm)],[])).
% 4.70/3.54 tff(9744,plain,
% 4.70/3.54 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s118, c_c2) | (~node3(s118))),
% 4.70/3.54 inference(modus_ponens,[status(thm)],[9743, 9742])).
% 4.70/3.54 tff(9745,plain,
% 4.70/3.54 (~node3(s118)),
% 4.70/3.54 inference(unit_resolution,[status(thm)],[9744, 399, 9741])).
% 4.70/3.54 tff(9746,plain,
% 4.70/3.54 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s118, c_n2) | (~node2(s118)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s118, c_n2) | (~node2(s118)))),
% 4.70/3.54 inference(rewrite,[status(thm)],[])).
% 4.70/3.54 tff(9747,plain,
% 4.70/3.54 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s118, c_n2) | (~node2(s118)))),
% 4.70/3.54 inference(quant_inst,[status(thm)],[])).
% 4.70/3.54 tff(9748,plain,
% 4.70/3.54 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s118, c_n2) | (~node2(s118))),
% 4.70/3.54 inference(modus_ponens,[status(thm)],[9747, 9746])).
% 4.70/3.54 tff(9749,plain,
% 4.70/3.54 (~node2(s118)),
% 4.70/3.54 inference(unit_resolution,[status(thm)],[9748, 410, 9733])).
% 4.70/3.54 tff(9750,plain,
% 4.70/3.54 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s118, c_n1)) | (~m_main_v_state1(s118, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s118, c_n1)) | (~m_main_v_state1(s118, c_c1)))),
% 4.70/3.54 inference(rewrite,[status(thm)],[])).
% 4.70/3.54 tff(9751,plain,
% 4.70/3.54 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s118, c_n1)) | (~m_main_v_state1(s118, c_c1)))),
% 4.70/3.54 inference(quant_inst,[status(thm)],[])).
% 4.70/3.54 tff(9752,plain,
% 4.70/3.54 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s118, c_n1)) | (~m_main_v_state1(s118, c_c1))),
% 4.70/3.54 inference(modus_ponens,[status(thm)],[9751, 9750])).
% 4.70/3.54 tff(9753,plain,
% 4.70/3.54 (~m_main_v_state1(s118, c_n1)),
% 4.70/3.54 inference(unit_resolution,[status(thm)],[9752, 454, 9712])).
% 4.70/3.54 tff(9754,plain,
% 4.70/3.54 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s118, c_n1) | (~node1(s118)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s118, c_n1) | (~node1(s118)))),
% 4.70/3.54 inference(rewrite,[status(thm)],[])).
% 4.70/3.54 tff(9755,plain,
% 4.70/3.54 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s118, c_n1) | (~node1(s118)))),
% 4.70/3.54 inference(quant_inst,[status(thm)],[])).
% 4.70/3.54 tff(9756,plain,
% 4.70/3.54 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s118, c_n1) | (~node1(s118))),
% 4.70/3.54 inference(modus_ponens,[status(thm)],[9755, 9754])).
% 4.70/3.54 tff(9757,plain,
% 4.70/3.54 (~node1(s118)),
% 4.70/3.54 inference(unit_resolution,[status(thm)],[9756, 421, 9753])).
% 4.70/3.54 tff(9758,plain,
% 4.70/3.54 (succ(s118, s119) <=> succ(s118, s119)),
% 4.70/3.54 inference(rewrite,[status(thm)],[])).
% 4.70/3.54 tff(9759,axiom,(succ(s118, s119)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound119')).
% 4.70/3.54 tff(9760,plain,
% 4.70/3.54 (succ(s118, s119)),
% 4.70/3.54 inference(modus_ponens,[status(thm)],[9759, 9758])).
% 4.70/3.54 tff(9761,plain,
% 4.70/3.54 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s118, s119)) | trans(s118, s119))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s118, s119)) | trans(s118, s119))),
% 4.70/3.54 inference(rewrite,[status(thm)],[])).
% 4.70/3.54 tff(9762,plain,
% 4.70/3.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s118, s119)) | trans(s118, s119))),
% 4.70/3.54 inference(quant_inst,[status(thm)],[])).
% 4.70/3.54 tff(9763,plain,
% 4.70/3.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s118, s119)) | trans(s118, s119)),
% 4.70/3.54 inference(modus_ponens,[status(thm)],[9762, 9761])).
% 4.70/3.54 tff(9764,plain,
% 4.70/3.54 (trans(s118, s119)),
% 4.70/3.54 inference(unit_resolution,[status(thm)],[9763, 9760, 32])).
% 4.70/3.54 tff(9765,plain,
% 4.70/3.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s118, s119)) | node7(s118, s119))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s118, s119)) | node7(s118, s119))),
% 4.70/3.54 inference(rewrite,[status(thm)],[])).
% 4.70/3.54 tff(9766,plain,
% 4.70/3.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s118, s119)) | node7(s118, s119))),
% 4.70/3.54 inference(quant_inst,[status(thm)],[])).
% 4.70/3.54 tff(9767,plain,
% 4.70/3.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s118, s119)) | node7(s118, s119)),
% 4.70/3.54 inference(modus_ponens,[status(thm)],[9766, 9765])).
% 4.70/3.54 tff(9768,plain,
% 4.70/3.54 (node7(s118, s119)),
% 4.70/3.54 inference(unit_resolution,[status(thm)],[9767, 206, 9764])).
% 4.70/3.54 tff(9769,plain,
% 4.70/3.54 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s119, c_n1) | (~m_main_v_state1(s118, c_c1)) | node1(s118) | node2(s118) | node3(s118) | node4(s118) | node5(s118) | (~node7(s118, s119)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s119, c_n1) | (~m_main_v_state1(s118, c_c1)) | node1(s118) | node2(s118) | node3(s118) | node4(s118) | node5(s118) | (~node7(s118, s119)))),
% 4.70/3.54 inference(rewrite,[status(thm)],[])).
% 4.70/3.54 tff(9770,plain,
% 4.70/3.54 (((~m_main_v_state1(s118, c_c1)) | node1(s118) | node2(s118) | node3(s118) | node4(s118) | node5(s118) | (~node7(s118, s119)) | m_main_v_state1(s119, c_n1)) <=> (m_main_v_state1(s119, c_n1) | (~m_main_v_state1(s118, c_c1)) | node1(s118) | node2(s118) | node3(s118) | node4(s118) | node5(s118) | (~node7(s118, s119)))),
% 4.70/3.54 inference(rewrite,[status(thm)],[])).
% 4.70/3.54 tff(9771,plain,
% 4.70/3.54 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s118, c_c1)) | node1(s118) | node2(s118) | node3(s118) | node4(s118) | node5(s118) | (~node7(s118, s119)) | m_main_v_state1(s119, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s119, c_n1) | (~m_main_v_state1(s118, c_c1)) | node1(s118) | node2(s118) | node3(s118) | node4(s118) | node5(s118) | (~node7(s118, s119))))),
% 4.70/3.54 inference(monotonicity,[status(thm)],[9770])).
% 4.70/3.54 tff(9772,plain,
% 4.70/3.54 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s118, c_c1)) | node1(s118) | node2(s118) | node3(s118) | node4(s118) | node5(s118) | (~node7(s118, s119)) | m_main_v_state1(s119, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s119, c_n1) | (~m_main_v_state1(s118, c_c1)) | node1(s118) | node2(s118) | node3(s118) | node4(s118) | node5(s118) | (~node7(s118, s119)))),
% 4.70/3.54 inference(transitivity,[status(thm)],[9771, 9769])).
% 4.70/3.54 tff(9773,plain,
% 4.70/3.54 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s118, c_c1)) | node1(s118) | node2(s118) | node3(s118) | node4(s118) | node5(s118) | (~node7(s118, s119)) | m_main_v_state1(s119, c_n1))),
% 4.70/3.54 inference(quant_inst,[status(thm)],[])).
% 4.70/3.54 tff(9774,plain,
% 4.70/3.54 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s119, c_n1) | (~m_main_v_state1(s118, c_c1)) | node1(s118) | node2(s118) | node3(s118) | node4(s118) | node5(s118) | (~node7(s118, s119))),
% 4.70/3.54 inference(modus_ponens,[status(thm)],[9773, 9772])).
% 4.70/3.54 tff(9775,plain,
% 4.70/3.54 (m_main_v_state1(s119, c_n1) | (~m_main_v_state1(s118, c_c1)) | node1(s118) | node2(s118) | node3(s118) | node4(s118) | node5(s118)),
% 4.70/3.54 inference(unit_resolution,[status(thm)],[9774, 584, 9768])).
% 4.70/3.54 tff(9776,plain,
% 4.70/3.54 (m_main_v_state1(s119, c_n1)),
% 4.70/3.54 inference(unit_resolution,[status(thm)],[9775, 9757, 9712, 9749, 9745, 9737, 9720])).
% 4.70/3.54 tff(9777,plain,
% 4.70/3.54 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s117, c_t2) | (~node15(s117)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s117, c_t2) | (~node15(s117)))),
% 4.70/3.54 inference(rewrite,[status(thm)],[])).
% 4.70/3.54 tff(9778,plain,
% 4.70/3.54 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s117, c_t2) | (~node15(s117)))),
% 4.70/3.54 inference(quant_inst,[status(thm)],[])).
% 4.70/3.54 tff(9779,plain,
% 4.70/3.54 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s117, c_t2) | (~node15(s117))),
% 4.70/3.54 inference(modus_ponens,[status(thm)],[9778, 9777])).
% 4.70/3.54 tff(9780,plain,
% 4.70/3.54 (~node15(s117)),
% 4.70/3.54 inference(unit_resolution,[status(thm)],[9779, 103, 9689])).
% 4.70/3.54 tff(9781,plain,
% 4.70/3.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s117, s118)) | node18(s117, s118))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s117, s118)) | node18(s117, s118))),
% 4.70/3.54 inference(rewrite,[status(thm)],[])).
% 4.70/3.54 tff(9782,plain,
% 4.70/3.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s117, s118)) | node18(s117, s118))),
% 4.70/3.54 inference(quant_inst,[status(thm)],[])).
% 4.70/3.54 tff(9783,plain,
% 4.70/3.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s117, s118)) | node18(s117, s118)),
% 4.70/3.54 inference(modus_ponens,[status(thm)],[9782, 9781])).
% 4.70/3.54 tff(9784,plain,
% 4.70/3.54 (node18(s117, s118)),
% 4.70/3.54 inference(unit_resolution,[status(thm)],[9783, 125, 9700])).
% 4.70/3.54 tff(9785,plain,
% 4.70/3.54 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s117) | (~node18(s117, s118)) | (~m_main_v_state1(s117, c_t1)) | (~m_main_v_state2(s117, c_n2)) | m_main_v_turn(s118, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s117) | (~node18(s117, s118)) | (~m_main_v_state1(s117, c_t1)) | (~m_main_v_state2(s117, c_n2)) | m_main_v_turn(s118, c_1))),
% 4.70/3.54 inference(rewrite,[status(thm)],[])).
% 4.70/3.54 tff(9786,plain,
% 4.70/3.54 (((~m_main_v_state1(s117, c_t1)) | (~m_main_v_state2(s117, c_n2)) | node15(s117) | (~node18(s117, s118)) | m_main_v_turn(s118, c_1)) <=> (node15(s117) | (~node18(s117, s118)) | (~m_main_v_state1(s117, c_t1)) | (~m_main_v_state2(s117, c_n2)) | m_main_v_turn(s118, c_1))),
% 4.70/3.54 inference(rewrite,[status(thm)],[])).
% 4.70/3.54 tff(9787,plain,
% 4.70/3.54 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s117, c_t1)) | (~m_main_v_state2(s117, c_n2)) | node15(s117) | (~node18(s117, s118)) | m_main_v_turn(s118, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s117) | (~node18(s117, s118)) | (~m_main_v_state1(s117, c_t1)) | (~m_main_v_state2(s117, c_n2)) | m_main_v_turn(s118, c_1)))),
% 4.70/3.54 inference(monotonicity,[status(thm)],[9786])).
% 4.70/3.54 tff(9788,plain,
% 4.70/3.54 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s117, c_t1)) | (~m_main_v_state2(s117, c_n2)) | node15(s117) | (~node18(s117, s118)) | m_main_v_turn(s118, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s117) | (~node18(s117, s118)) | (~m_main_v_state1(s117, c_t1)) | (~m_main_v_state2(s117, c_n2)) | m_main_v_turn(s118, c_1))),
% 4.70/3.54 inference(transitivity,[status(thm)],[9787, 9785])).
% 4.70/3.54 tff(9789,plain,
% 4.70/3.54 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s117, c_t1)) | (~m_main_v_state2(s117, c_n2)) | node15(s117) | (~node18(s117, s118)) | m_main_v_turn(s118, c_1))),
% 4.70/3.54 inference(quant_inst,[status(thm)],[])).
% 4.70/3.54 tff(9790,plain,
% 4.70/3.54 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s117) | (~node18(s117, s118)) | (~m_main_v_state1(s117, c_t1)) | (~m_main_v_state2(s117, c_n2)) | m_main_v_turn(s118, c_1)),
% 4.70/3.54 inference(modus_ponens,[status(thm)],[9789, 9788])).
% 4.70/3.54 tff(9791,plain,
% 4.70/3.54 (node15(s117) | (~m_main_v_state1(s117, c_t1)) | (~m_main_v_state2(s117, c_n2)) | m_main_v_turn(s118, c_1)),
% 4.70/3.54 inference(unit_resolution,[status(thm)],[9790, 992, 9784])).
% 4.70/3.54 tff(9792,plain,
% 4.70/3.54 (m_main_v_turn(s118, c_1)),
% 4.70/3.54 inference(unit_resolution,[status(thm)],[9791, 9780, 9617, 9685])).
% 4.70/3.54 tff(9793,plain,
% 4.70/3.54 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s118, c_1)) | (~m_main_v_turn(s118, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s118, c_1)) | (~m_main_v_turn(s118, c_2)))),
% 4.70/3.54 inference(rewrite,[status(thm)],[])).
% 4.70/3.54 tff(9794,plain,
% 4.70/3.54 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s118, c_1)) | (~m_main_v_turn(s118, c_2)))),
% 4.70/3.54 inference(quant_inst,[status(thm)],[])).
% 4.70/3.54 tff(9795,plain,
% 4.70/3.54 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s118, c_1)) | (~m_main_v_turn(s118, c_2))),
% 4.70/3.54 inference(modus_ponens,[status(thm)],[9794, 9793])).
% 4.70/3.54 tff(9796,plain,
% 4.70/3.54 (~m_main_v_turn(s118, c_2)),
% 4.70/3.54 inference(unit_resolution,[status(thm)],[9795, 156, 9792])).
% 4.70/3.55 tff(9797,plain,
% 4.70/3.55 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s118, c_2) | (~node12(s118)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s118, c_2) | (~node12(s118)))),
% 4.70/3.55 inference(rewrite,[status(thm)],[])).
% 4.70/3.55 tff(9798,plain,
% 4.70/3.55 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s118, c_2) | (~node12(s118)))),
% 4.70/3.55 inference(quant_inst,[status(thm)],[])).
% 4.70/3.55 tff(9799,plain,
% 4.70/3.55 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s118, c_2) | (~node12(s118))),
% 4.70/3.55 inference(modus_ponens,[status(thm)],[9798, 9797])).
% 4.70/3.55 tff(9800,plain,
% 4.70/3.55 (~node12(s118)),
% 4.70/3.55 inference(unit_resolution,[status(thm)],[9799, 184, 9796])).
% 4.70/3.55 tff(9801,plain,
% 4.70/3.55 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s118, c_n2) | (~node8(s118)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s118, c_n2) | (~node8(s118)))),
% 4.70/3.55 inference(rewrite,[status(thm)],[])).
% 4.70/3.55 tff(9802,plain,
% 4.70/3.55 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s118, c_n2) | (~node8(s118)))),
% 4.70/3.55 inference(quant_inst,[status(thm)],[])).
% 4.70/3.55 tff(9803,plain,
% 4.70/3.55 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s118, c_n2) | (~node8(s118))),
% 4.70/3.55 inference(modus_ponens,[status(thm)],[9802, 9801])).
% 4.70/3.55 tff(9804,plain,
% 4.70/3.55 (~node8(s118)),
% 4.70/3.55 inference(unit_resolution,[status(thm)],[9803, 271, 9733])).
% 4.70/3.55 tff(9805,plain,
% 4.70/3.55 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s118, c_n2) | (~node9(s118)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s118, c_n2) | (~node9(s118)))),
% 4.70/3.55 inference(rewrite,[status(thm)],[])).
% 4.70/3.55 tff(9806,plain,
% 4.70/3.55 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s118, c_n2) | (~node9(s118)))),
% 4.70/3.55 inference(quant_inst,[status(thm)],[])).
% 4.70/3.55 tff(9807,plain,
% 4.70/3.55 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s118, c_n2) | (~node9(s118))),
% 4.70/3.55 inference(modus_ponens,[status(thm)],[9806, 9805])).
% 4.70/3.55 tff(9808,plain,
% 4.70/3.55 (~node9(s118)),
% 4.70/3.55 inference(unit_resolution,[status(thm)],[9807, 88, 9733])).
% 4.70/3.55 tff(9809,plain,
% 4.70/3.55 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s118, c_n2) | (~node10(s118)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s118, c_n2) | (~node10(s118)))),
% 4.70/3.55 inference(rewrite,[status(thm)],[])).
% 4.70/3.55 tff(9810,plain,
% 4.70/3.55 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s118, c_n2) | (~node10(s118)))),
% 4.70/3.55 inference(quant_inst,[status(thm)],[])).
% 4.70/3.55 tff(9811,plain,
% 4.70/3.55 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s118, c_n2) | (~node10(s118))),
% 4.70/3.55 inference(modus_ponens,[status(thm)],[9810, 9809])).
% 4.70/3.55 tff(9812,plain,
% 4.70/3.55 (~node10(s118)),
% 4.70/3.55 inference(unit_resolution,[status(thm)],[9811, 249, 9733])).
% 4.70/3.55 tff(9813,plain,
% 4.70/3.55 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s118, c_n1) | (~node11(s118)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s118, c_n1) | (~node11(s118)))),
% 4.70/3.55 inference(rewrite,[status(thm)],[])).
% 4.70/3.55 tff(9814,plain,
% 4.70/3.55 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s118, c_n1) | (~node11(s118)))),
% 4.70/3.55 inference(quant_inst,[status(thm)],[])).
% 4.70/3.55 tff(9815,plain,
% 4.70/3.55 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s118, c_n1) | (~node11(s118))),
% 4.70/3.55 inference(modus_ponens,[status(thm)],[9814, 9813])).
% 4.70/3.55 tff(9816,plain,
% 4.70/3.55 (~node11(s118)),
% 4.70/3.55 inference(unit_resolution,[status(thm)],[9815, 238, 9753])).
% 4.70/3.55 tff(9817,plain,
% 4.70/3.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s118, s119)) | node14(s118, s119))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s118, s119)) | node14(s118, s119))),
% 4.70/3.55 inference(rewrite,[status(thm)],[])).
% 4.70/3.55 tff(9818,plain,
% 4.70/3.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s118, s119)) | node14(s118, s119))),
% 4.70/3.55 inference(quant_inst,[status(thm)],[])).
% 4.70/3.55 tff(9819,plain,
% 4.70/3.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s118, s119)) | node14(s118, s119)),
% 4.70/3.55 inference(modus_ponens,[status(thm)],[9818, 9817])).
% 4.70/3.55 tff(9820,plain,
% 4.70/3.55 (node14(s118, s119)),
% 4.70/3.55 inference(unit_resolution,[status(thm)],[9819, 46, 9764])).
% 4.70/3.55 tff(9821,plain,
% 4.70/3.55 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s118, c_c2) | node9(s118) | node8(s118) | node10(s118) | node11(s118) | node12(s118) | node13(s118, s119) | (~node14(s118, s119)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s118, c_c2) | node9(s118) | node8(s118) | node10(s118) | node11(s118) | node12(s118) | node13(s118, s119) | (~node14(s118, s119)))),
% 4.70/3.55 inference(rewrite,[status(thm)],[])).
% 4.70/3.55 tff(9822,plain,
% 4.70/3.55 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s118, c_c2) | node9(s118) | node8(s118) | node10(s118) | node11(s118) | node12(s118) | node13(s118, s119) | (~node14(s118, s119)))),
% 4.70/3.55 inference(quant_inst,[status(thm)],[])).
% 4.70/3.55 tff(9823,plain,
% 4.70/3.55 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s118, c_c2) | node9(s118) | node8(s118) | node10(s118) | node11(s118) | node12(s118) | node13(s118, s119) | (~node14(s118, s119))),
% 4.70/3.55 inference(modus_ponens,[status(thm)],[9822, 9821])).
% 4.70/3.55 tff(9824,plain,
% 4.70/3.55 (m_main_v_state2(s118, c_c2) | node9(s118) | node8(s118) | node10(s118) | node11(s118) | node12(s118) | node13(s118, s119)),
% 4.70/3.55 inference(unit_resolution,[status(thm)],[9823, 296, 9820])).
% 4.70/3.55 tff(9825,plain,
% 4.70/3.55 (node13(s118, s119)),
% 4.70/3.55 inference(unit_resolution,[status(thm)],[9824, 9816, 9741, 9812, 9808, 9804, 9800])).
% 4.70/3.55 tff(9826,plain,
% 4.70/3.55 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s118, c_t2)) | m_main_v_state2(s119, c_t2) | (~node13(s118, s119)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s118, c_t2)) | m_main_v_state2(s119, c_t2) | (~node13(s118, s119)))),
% 4.70/3.55 inference(rewrite,[status(thm)],[])).
% 4.70/3.55 tff(9827,plain,
% 4.70/3.55 (((~node13(s118, s119)) | (~m_main_v_state2(s118, c_t2)) | m_main_v_state2(s119, c_t2)) <=> ((~m_main_v_state2(s118, c_t2)) | m_main_v_state2(s119, c_t2) | (~node13(s118, s119)))),
% 4.70/3.55 inference(rewrite,[status(thm)],[])).
% 4.70/3.55 tff(9828,plain,
% 4.70/3.55 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s118, s119)) | (~m_main_v_state2(s118, c_t2)) | m_main_v_state2(s119, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s118, c_t2)) | m_main_v_state2(s119, c_t2) | (~node13(s118, s119))))),
% 4.70/3.55 inference(monotonicity,[status(thm)],[9827])).
% 4.70/3.55 tff(9829,plain,
% 4.70/3.55 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s118, s119)) | (~m_main_v_state2(s118, c_t2)) | m_main_v_state2(s119, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s118, c_t2)) | m_main_v_state2(s119, c_t2) | (~node13(s118, s119)))),
% 4.70/3.55 inference(transitivity,[status(thm)],[9828, 9826])).
% 4.70/3.55 tff(9830,plain,
% 4.70/3.55 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s118, s119)) | (~m_main_v_state2(s118, c_t2)) | m_main_v_state2(s119, c_t2))),
% 4.70/3.55 inference(quant_inst,[status(thm)],[])).
% 4.70/3.55 tff(9831,plain,
% 4.70/3.55 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s118, c_t2)) | m_main_v_state2(s119, c_t2) | (~node13(s118, s119))),
% 4.70/3.55 inference(modus_ponens,[status(thm)],[9830, 9829])).
% 4.70/3.55 tff(9832,plain,
% 4.70/3.55 (m_main_v_state2(s119, c_t2)),
% 4.70/3.55 inference(unit_resolution,[status(thm)],[9831, 518, 9729, 9825])).
% 4.70/3.55 tff(9833,plain,
% 4.70/3.55 (succ(s119, s120) <=> succ(s119, s120)),
% 4.70/3.55 inference(rewrite,[status(thm)],[])).
% 4.70/3.55 tff(9834,axiom,(succ(s119, s120)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound120')).
% 4.70/3.55 tff(9835,plain,
% 4.70/3.55 (succ(s119, s120)),
% 4.70/3.55 inference(modus_ponens,[status(thm)],[9834, 9833])).
% 4.70/3.55 tff(9836,plain,
% 4.70/3.55 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s119, s120)) | trans(s119, s120))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s119, s120)) | trans(s119, s120))),
% 4.70/3.55 inference(rewrite,[status(thm)],[])).
% 4.70/3.55 tff(9837,plain,
% 4.70/3.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s119, s120)) | trans(s119, s120))),
% 4.70/3.55 inference(quant_inst,[status(thm)],[])).
% 4.70/3.55 tff(9838,plain,
% 4.70/3.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s119, s120)) | trans(s119, s120)),
% 4.70/3.55 inference(modus_ponens,[status(thm)],[9837, 9836])).
% 4.70/3.55 tff(9839,plain,
% 4.70/3.55 (trans(s119, s120)),
% 4.70/3.55 inference(unit_resolution,[status(thm)],[9838, 9835, 32])).
% 4.70/3.55 tff(9840,plain,
% 4.70/3.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s119, s120)) | node7(s119, s120))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s119, s120)) | node7(s119, s120))),
% 4.70/3.55 inference(rewrite,[status(thm)],[])).
% 4.70/3.55 tff(9841,plain,
% 4.70/3.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s119, s120)) | node7(s119, s120))),
% 4.70/3.55 inference(quant_inst,[status(thm)],[])).
% 4.70/3.55 tff(9842,plain,
% 4.70/3.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s119, s120)) | node7(s119, s120)),
% 4.70/3.55 inference(modus_ponens,[status(thm)],[9841, 9840])).
% 4.70/3.55 tff(9843,plain,
% 4.70/3.55 (node7(s119, s120)),
% 4.70/3.55 inference(unit_resolution,[status(thm)],[9842, 206, 9839])).
% 4.70/3.55 tff(9844,plain,
% 4.70/3.55 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s119, c_n1)) | (~m_main_v_state2(s119, c_t2)) | (~node7(s119, s120)) | m_main_v_state1(s120, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s119, c_n1)) | (~m_main_v_state2(s119, c_t2)) | (~node7(s119, s120)) | m_main_v_state1(s120, c_t1))),
% 4.70/3.55 inference(rewrite,[status(thm)],[])).
% 4.70/3.55 tff(9845,plain,
% 4.70/3.55 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s119, c_n1)) | (~m_main_v_state2(s119, c_t2)) | (~node7(s119, s120)) | m_main_v_state1(s120, c_t1))),
% 4.70/3.55 inference(quant_inst,[status(thm)],[])).
% 4.70/3.55 tff(9846,plain,
% 4.70/3.55 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s119, c_n1)) | (~m_main_v_state2(s119, c_t2)) | (~node7(s119, s120)) | m_main_v_state1(s120, c_t1)),
% 4.70/3.55 inference(modus_ponens,[status(thm)],[9845, 9844])).
% 4.70/3.55 tff(9847,plain,
% 4.70/3.55 ((~m_main_v_state1(s119, c_n1)) | (~m_main_v_state2(s119, c_t2)) | m_main_v_state1(s120, c_t1)),
% 4.70/3.55 inference(unit_resolution,[status(thm)],[9846, 651, 9843])).
% 4.70/3.55 tff(9848,plain,
% 4.70/3.55 (m_main_v_state1(s120, c_t1)),
% 4.70/3.55 inference(unit_resolution,[status(thm)],[9847, 9832, 9776])).
% 4.70/3.55 tff(9849,plain,
% 4.70/3.55 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s120, c_n1)) | (~m_main_v_state1(s120, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s120, c_n1)) | (~m_main_v_state1(s120, c_t1)))),
% 4.70/3.55 inference(rewrite,[status(thm)],[])).
% 4.70/3.55 tff(9850,plain,
% 4.70/3.55 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s120, c_n1)) | (~m_main_v_state1(s120, c_t1)))),
% 4.70/3.55 inference(quant_inst,[status(thm)],[])).
% 4.70/3.55 tff(9851,plain,
% 4.70/3.55 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s120, c_n1)) | (~m_main_v_state1(s120, c_t1))),
% 4.70/3.55 inference(modus_ponens,[status(thm)],[9850, 9849])).
% 4.70/3.55 tff(9852,plain,
% 4.70/3.55 (~m_main_v_state1(s120, c_n1)),
% 4.70/3.55 inference(unit_resolution,[status(thm)],[9851, 10, 9848])).
% 4.70/3.55 tff(9853,plain,
% 4.70/3.55 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s120, c_n1) | (~node1(s120)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s120, c_n1) | (~node1(s120)))),
% 4.70/3.55 inference(rewrite,[status(thm)],[])).
% 4.70/3.55 tff(9854,plain,
% 4.70/3.55 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s120, c_n1) | (~node1(s120)))),
% 4.70/3.55 inference(quant_inst,[status(thm)],[])).
% 4.70/3.55 tff(9855,plain,
% 4.70/3.55 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s120, c_n1) | (~node1(s120))),
% 4.70/3.55 inference(modus_ponens,[status(thm)],[9854, 9853])).
% 4.70/3.55 tff(9856,plain,
% 4.70/3.55 (~node1(s120)),
% 4.70/3.55 inference(unit_resolution,[status(thm)],[9855, 421, 9852])).
% 4.70/3.55 tff(9857,plain,
% 4.70/3.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s119, s120)) | node18(s119, s120))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s119, s120)) | node18(s119, s120))),
% 4.70/3.55 inference(rewrite,[status(thm)],[])).
% 4.70/3.55 tff(9858,plain,
% 4.70/3.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s119, s120)) | node18(s119, s120))),
% 4.70/3.55 inference(quant_inst,[status(thm)],[])).
% 4.70/3.55 tff(9859,plain,
% 4.70/3.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s119, s120)) | node18(s119, s120)),
% 4.70/3.55 inference(modus_ponens,[status(thm)],[9858, 9857])).
% 4.70/3.55 tff(9860,plain,
% 4.70/3.55 (node18(s119, s120)),
% 4.70/3.55 inference(unit_resolution,[status(thm)],[9859, 125, 9839])).
% 4.70/3.55 tff(9861,plain,
% 4.70/3.55 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s119, c_n1)) | (~m_main_v_state2(s119, c_t2)) | (~node18(s119, s120)) | m_main_v_turn(s120, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s119, c_n1)) | (~m_main_v_state2(s119, c_t2)) | (~node18(s119, s120)) | m_main_v_turn(s120, c_2))),
% 4.70/3.55 inference(rewrite,[status(thm)],[])).
% 4.70/3.55 tff(9862,plain,
% 4.70/3.55 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s119, c_n1)) | (~m_main_v_state2(s119, c_t2)) | (~node18(s119, s120)) | m_main_v_turn(s120, c_2))),
% 4.70/3.55 inference(quant_inst,[status(thm)],[])).
% 4.70/3.55 tff(9863,plain,
% 4.70/3.55 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s119, c_n1)) | (~m_main_v_state2(s119, c_t2)) | (~node18(s119, s120)) | m_main_v_turn(s120, c_2)),
% 4.70/3.55 inference(modus_ponens,[status(thm)],[9862, 9861])).
% 4.70/3.55 tff(9864,plain,
% 4.70/3.55 ((~m_main_v_state1(s119, c_n1)) | (~m_main_v_state2(s119, c_t2)) | m_main_v_turn(s120, c_2)),
% 4.70/3.55 inference(unit_resolution,[status(thm)],[9863, 760, 9860])).
% 4.70/3.55 tff(9865,plain,
% 4.70/3.55 (m_main_v_turn(s120, c_2)),
% 4.70/3.55 inference(unit_resolution,[status(thm)],[9864, 9832, 9776])).
% 4.70/3.55 tff(9866,plain,
% 4.70/3.55 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s120, c_1)) | (~m_main_v_turn(s120, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s120, c_1)) | (~m_main_v_turn(s120, c_2)))),
% 4.70/3.55 inference(rewrite,[status(thm)],[])).
% 4.70/3.55 tff(9867,plain,
% 4.70/3.55 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s120, c_1)) | (~m_main_v_turn(s120, c_2)))),
% 4.70/3.55 inference(quant_inst,[status(thm)],[])).
% 4.70/3.55 tff(9868,plain,
% 4.70/3.55 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s120, c_1)) | (~m_main_v_turn(s120, c_2))),
% 4.70/3.55 inference(modus_ponens,[status(thm)],[9867, 9866])).
% 4.70/3.55 tff(9869,plain,
% 4.70/3.55 (~m_main_v_turn(s120, c_1)),
% 4.70/3.55 inference(unit_resolution,[status(thm)],[9868, 156, 9865])).
% 4.70/3.55 tff(9870,plain,
% 4.70/3.55 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s120, c_1) | (~node5(s120)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s120, c_1) | (~node5(s120)))),
% 4.70/3.55 inference(rewrite,[status(thm)],[])).
% 4.70/3.55 tff(9871,plain,
% 4.70/3.55 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s120, c_1) | (~node5(s120)))),
% 4.70/3.55 inference(quant_inst,[status(thm)],[])).
% 4.70/3.55 tff(9872,plain,
% 4.70/3.55 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s120, c_1) | (~node5(s120))),
% 4.70/3.55 inference(modus_ponens,[status(thm)],[9871, 9870])).
% 4.70/3.55 tff(9873,plain,
% 4.70/3.55 (~node5(s120)),
% 4.70/3.55 inference(unit_resolution,[status(thm)],[9872, 776, 9869])).
% 4.70/3.55 tff(9874,plain,
% 4.70/3.55 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s120, c_n1) | (~node2(s120)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s120, c_n1) | (~node2(s120)))),
% 4.70/3.55 inference(rewrite,[status(thm)],[])).
% 4.70/3.55 tff(9875,plain,
% 4.70/3.55 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s120, c_n1) | (~node2(s120)))),
% 4.70/3.55 inference(quant_inst,[status(thm)],[])).
% 4.70/3.55 tff(9876,plain,
% 4.70/3.55 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s120, c_n1) | (~node2(s120))),
% 4.70/3.55 inference(modus_ponens,[status(thm)],[9875, 9874])).
% 4.70/3.55 tff(9877,plain,
% 4.70/3.55 (~node2(s120)),
% 4.70/3.55 inference(unit_resolution,[status(thm)],[9876, 787, 9852])).
% 4.70/3.55 tff(9878,plain,
% 4.70/3.55 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s120, c_n1) | (~node3(s120)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s120, c_n1) | (~node3(s120)))),
% 4.70/3.55 inference(rewrite,[status(thm)],[])).
% 4.70/3.55 tff(9879,plain,
% 4.70/3.55 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s120, c_n1) | (~node3(s120)))),
% 4.70/3.55 inference(quant_inst,[status(thm)],[])).
% 4.70/3.55 tff(9880,plain,
% 4.70/3.55 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s120, c_n1) | (~node3(s120))),
% 4.70/3.55 inference(modus_ponens,[status(thm)],[9879, 9878])).
% 4.70/3.55 tff(9881,plain,
% 4.70/3.55 (~node3(s120)),
% 4.70/3.55 inference(unit_resolution,[status(thm)],[9880, 798, 9852])).
% 4.70/3.55 tff(9882,plain,
% 4.70/3.55 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s120, c_t1)) | (~m_main_v_state1(s120, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s120, c_t1)) | (~m_main_v_state1(s120, c_c1)))),
% 4.70/3.55 inference(rewrite,[status(thm)],[])).
% 4.70/3.55 tff(9883,plain,
% 4.70/3.55 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s120, c_t1)) | (~m_main_v_state1(s120, c_c1)))),
% 4.70/3.55 inference(quant_inst,[status(thm)],[])).
% 4.70/3.55 tff(9884,plain,
% 4.70/3.55 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s120, c_t1)) | (~m_main_v_state1(s120, c_c1))),
% 4.70/3.55 inference(modus_ponens,[status(thm)],[9883, 9882])).
% 4.70/3.55 tff(9885,plain,
% 4.70/3.55 (~m_main_v_state1(s120, c_c1)),
% 4.70/3.55 inference(unit_resolution,[status(thm)],[9884, 539, 9848])).
% 4.70/3.55 tff(9886,plain,
% 4.70/3.55 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s118, c_n2) | (~m_main_v_state2(s119, c_n2)) | (~node13(s118, s119)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s118, c_n2) | (~m_main_v_state2(s119, c_n2)) | (~node13(s118, s119)))),
% 4.70/3.55 inference(rewrite,[status(thm)],[])).
% 4.70/3.55 tff(9887,plain,
% 4.70/3.55 (((~node13(s118, s119)) | m_main_v_state2(s118, c_n2) | (~m_main_v_state2(s119, c_n2))) <=> (m_main_v_state2(s118, c_n2) | (~m_main_v_state2(s119, c_n2)) | (~node13(s118, s119)))),
% 4.70/3.55 inference(rewrite,[status(thm)],[])).
% 4.70/3.55 tff(9888,plain,
% 4.70/3.55 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s118, s119)) | m_main_v_state2(s118, c_n2) | (~m_main_v_state2(s119, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s118, c_n2) | (~m_main_v_state2(s119, c_n2)) | (~node13(s118, s119))))),
% 4.70/3.55 inference(monotonicity,[status(thm)],[9887])).
% 4.70/3.55 tff(9889,plain,
% 4.70/3.55 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s118, s119)) | m_main_v_state2(s118, c_n2) | (~m_main_v_state2(s119, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s118, c_n2) | (~m_main_v_state2(s119, c_n2)) | (~node13(s118, s119)))),
% 4.70/3.55 inference(transitivity,[status(thm)],[9888, 9886])).
% 4.70/3.55 tff(9890,plain,
% 4.70/3.55 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s118, s119)) | m_main_v_state2(s118, c_n2) | (~m_main_v_state2(s119, c_n2)))),
% 4.70/3.55 inference(quant_inst,[status(thm)],[])).
% 4.70/3.55 tff(9891,plain,
% 4.70/3.55 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s118, c_n2) | (~m_main_v_state2(s119, c_n2)) | (~node13(s118, s119))),
% 4.70/3.55 inference(modus_ponens,[status(thm)],[9890, 9889])).
% 4.70/3.55 tff(9892,plain,
% 4.70/3.55 (~m_main_v_state2(s119, c_n2)),
% 4.70/3.55 inference(unit_resolution,[status(thm)],[9891, 311, 9733, 9825])).
% 4.70/3.55 tff(9893,plain,
% 4.70/3.55 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s119, c_n2) | (~node9(s119)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s119, c_n2) | (~node9(s119)))),
% 4.70/3.55 inference(rewrite,[status(thm)],[])).
% 4.70/3.55 tff(9894,plain,
% 4.70/3.55 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s119, c_n2) | (~node9(s119)))),
% 4.70/3.55 inference(quant_inst,[status(thm)],[])).
% 4.70/3.55 tff(9895,plain,
% 4.70/3.55 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s119, c_n2) | (~node9(s119))),
% 4.70/3.55 inference(modus_ponens,[status(thm)],[9894, 9893])).
% 4.70/3.55 tff(9896,plain,
% 4.70/3.55 (~node9(s119)),
% 4.70/3.55 inference(unit_resolution,[status(thm)],[9895, 88, 9892])).
% 4.70/3.55 tff(9897,plain,
% 4.70/3.55 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s119, c_n2) | (~node10(s119)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s119, c_n2) | (~node10(s119)))),
% 4.70/3.55 inference(rewrite,[status(thm)],[])).
% 4.70/3.55 tff(9898,plain,
% 4.70/3.55 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s119, c_n2) | (~node10(s119)))),
% 4.70/3.55 inference(quant_inst,[status(thm)],[])).
% 4.70/3.55 tff(9899,plain,
% 4.70/3.55 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s119, c_n2) | (~node10(s119))),
% 4.70/3.55 inference(modus_ponens,[status(thm)],[9898, 9897])).
% 4.70/3.55 tff(9900,plain,
% 4.70/3.55 (~node10(s119)),
% 4.70/3.55 inference(unit_resolution,[status(thm)],[9899, 249, 9892])).
% 4.70/3.55 tff(9901,plain,
% 4.70/3.55 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s119, c_n2) | (~node8(s119)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s119, c_n2) | (~node8(s119)))),
% 4.70/3.55 inference(rewrite,[status(thm)],[])).
% 4.70/3.55 tff(9902,plain,
% 4.70/3.55 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s119, c_n2) | (~node8(s119)))),
% 4.70/3.55 inference(quant_inst,[status(thm)],[])).
% 4.70/3.55 tff(9903,plain,
% 4.70/3.55 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s119, c_n2) | (~node8(s119))),
% 4.70/3.55 inference(modus_ponens,[status(thm)],[9902, 9901])).
% 4.70/3.55 tff(9904,plain,
% 4.70/3.55 (~node8(s119)),
% 4.70/3.55 inference(unit_resolution,[status(thm)],[9903, 271, 9892])).
% 4.70/3.55 tff(9905,plain,
% 4.70/3.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s119, s120)) | node14(s119, s120))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s119, s120)) | node14(s119, s120))),
% 4.70/3.55 inference(rewrite,[status(thm)],[])).
% 4.70/3.55 tff(9906,plain,
% 4.70/3.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s119, s120)) | node14(s119, s120))),
% 4.70/3.55 inference(quant_inst,[status(thm)],[])).
% 4.70/3.55 tff(9907,plain,
% 4.70/3.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s119, s120)) | node14(s119, s120)),
% 4.70/3.55 inference(modus_ponens,[status(thm)],[9906, 9905])).
% 4.70/3.55 tff(9908,plain,
% 4.70/3.55 (node14(s119, s120)),
% 4.70/3.55 inference(unit_resolution,[status(thm)],[9907, 46, 9839])).
% 4.70/3.55 tff(9909,plain,
% 4.70/3.55 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s119, c_n1)) | (~m_main_v_state2(s119, c_t2)) | node9(s119) | node8(s119) | node10(s119) | (~node14(s119, s120)) | m_main_v_state2(s120, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s119, c_n1)) | (~m_main_v_state2(s119, c_t2)) | node9(s119) | node8(s119) | node10(s119) | (~node14(s119, s120)) | m_main_v_state2(s120, c_c2))),
% 4.70/3.55 inference(rewrite,[status(thm)],[])).
% 4.70/3.55 tff(9910,plain,
% 4.70/3.55 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s119, c_n1)) | (~m_main_v_state2(s119, c_t2)) | node9(s119) | node8(s119) | node10(s119) | (~node14(s119, s120)) | m_main_v_state2(s120, c_c2))),
% 4.70/3.55 inference(quant_inst,[status(thm)],[])).
% 4.70/3.55 tff(9911,plain,
% 4.70/3.55 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s119, c_n1)) | (~m_main_v_state2(s119, c_t2)) | node9(s119) | node8(s119) | node10(s119) | (~node14(s119, s120)) | m_main_v_state2(s120, c_c2)),
% 4.70/3.55 inference(modus_ponens,[status(thm)],[9910, 9909])).
% 4.70/3.55 tff(9912,plain,
% 4.70/3.55 ((~m_main_v_state1(s119, c_n1)) | (~m_main_v_state2(s119, c_t2)) | node9(s119) | node8(s119) | node10(s119) | m_main_v_state2(s120, c_c2)),
% 4.70/3.55 inference(unit_resolution,[status(thm)],[9911, 617, 9908])).
% 4.70/3.55 tff(9913,plain,
% 4.70/3.55 (m_main_v_state2(s120, c_c2)),
% 4.70/3.55 inference(unit_resolution,[status(thm)],[9912, 9904, 9776, 9832, 9900, 9896])).
% 4.70/3.55 tff(9914,plain,
% 4.70/3.55 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s120, c_n2)) | (~m_main_v_state2(s120, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s120, c_n2)) | (~m_main_v_state2(s120, c_c2)))),
% 4.70/3.55 inference(rewrite,[status(thm)],[])).
% 4.70/3.55 tff(9915,plain,
% 4.70/3.55 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s120, c_n2)) | (~m_main_v_state2(s120, c_c2)))),
% 4.70/3.55 inference(quant_inst,[status(thm)],[])).
% 4.70/3.55 tff(9916,plain,
% 4.70/3.55 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s120, c_n2)) | (~m_main_v_state2(s120, c_c2))),
% 4.70/3.55 inference(modus_ponens,[status(thm)],[9915, 9914])).
% 4.70/3.55 tff(9917,plain,
% 4.70/3.55 (~m_main_v_state2(s120, c_n2)),
% 4.70/3.55 inference(unit_resolution,[status(thm)],[9916, 697, 9913])).
% 4.70/3.55 tff(9918,plain,
% 4.70/3.55 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s120, c_n2) | (~node4(s120)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s120, c_n2) | (~node4(s120)))),
% 4.70/3.55 inference(rewrite,[status(thm)],[])).
% 4.70/3.55 tff(9919,plain,
% 4.70/3.55 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s120, c_n2) | (~node4(s120)))),
% 4.70/3.55 inference(quant_inst,[status(thm)],[])).
% 4.70/3.55 tff(9920,plain,
% 4.70/3.55 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s120, c_n2) | (~node4(s120))),
% 4.70/3.55 inference(modus_ponens,[status(thm)],[9919, 9918])).
% 4.70/3.55 tff(9921,plain,
% 4.70/3.55 (~node4(s120)),
% 4.70/3.55 inference(unit_resolution,[status(thm)],[9920, 388, 9917])).
% 4.70/3.55 tff(9922,plain,
% 4.70/3.55 (succ(s120, s121) <=> succ(s120, s121)),
% 4.70/3.55 inference(rewrite,[status(thm)],[])).
% 4.70/3.55 tff(9923,axiom,(succ(s120, s121)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound121')).
% 4.70/3.55 tff(9924,plain,
% 4.70/3.55 (succ(s120, s121)),
% 4.70/3.55 inference(modus_ponens,[status(thm)],[9923, 9922])).
% 4.70/3.55 tff(9925,plain,
% 4.70/3.55 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s120, s121)) | trans(s120, s121))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s120, s121)) | trans(s120, s121))),
% 4.70/3.55 inference(rewrite,[status(thm)],[])).
% 4.70/3.55 tff(9926,plain,
% 4.70/3.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s120, s121)) | trans(s120, s121))),
% 4.70/3.56 inference(quant_inst,[status(thm)],[])).
% 4.70/3.56 tff(9927,plain,
% 4.70/3.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s120, s121)) | trans(s120, s121)),
% 4.70/3.56 inference(modus_ponens,[status(thm)],[9926, 9925])).
% 4.70/3.56 tff(9928,plain,
% 4.70/3.56 (trans(s120, s121)),
% 4.70/3.56 inference(unit_resolution,[status(thm)],[9927, 9924, 32])).
% 4.70/3.56 tff(9929,plain,
% 4.70/3.56 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s120, s121)) | node7(s120, s121))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s120, s121)) | node7(s120, s121))),
% 4.70/3.56 inference(rewrite,[status(thm)],[])).
% 4.70/3.56 tff(9930,plain,
% 4.70/3.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s120, s121)) | node7(s120, s121))),
% 4.70/3.56 inference(quant_inst,[status(thm)],[])).
% 4.70/3.56 tff(9931,plain,
% 4.70/3.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s120, s121)) | node7(s120, s121)),
% 4.70/3.56 inference(modus_ponens,[status(thm)],[9930, 9929])).
% 4.70/3.56 tff(9932,plain,
% 4.70/3.56 (node7(s120, s121)),
% 4.70/3.56 inference(unit_resolution,[status(thm)],[9931, 206, 9928])).
% 4.70/3.56 tff(9933,plain,
% 4.70/3.56 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s120, c_c1) | node1(s120) | node2(s120) | node3(s120) | node4(s120) | node5(s120) | node6(s120, s121) | (~node7(s120, s121)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s120, c_c1) | node1(s120) | node2(s120) | node3(s120) | node4(s120) | node5(s120) | node6(s120, s121) | (~node7(s120, s121)))),
% 4.70/3.56 inference(rewrite,[status(thm)],[])).
% 4.70/3.56 tff(9934,plain,
% 4.70/3.56 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s120, c_c1) | node1(s120) | node2(s120) | node3(s120) | node4(s120) | node5(s120) | node6(s120, s121) | (~node7(s120, s121)))),
% 4.70/3.56 inference(quant_inst,[status(thm)],[])).
% 4.70/3.56 tff(9935,plain,
% 4.70/3.56 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s120, c_c1) | node1(s120) | node2(s120) | node3(s120) | node4(s120) | node5(s120) | node6(s120, s121) | (~node7(s120, s121))),
% 4.70/3.56 inference(modus_ponens,[status(thm)],[9934, 9933])).
% 4.70/3.56 tff(9936,plain,
% 4.70/3.56 (m_main_v_state1(s120, c_c1) | node1(s120) | node2(s120) | node3(s120) | node4(s120) | node5(s120) | node6(s120, s121)),
% 4.70/3.56 inference(unit_resolution,[status(thm)],[9935, 820, 9932])).
% 4.70/3.56 tff(9937,plain,
% 4.70/3.56 (node6(s120, s121)),
% 4.70/3.56 inference(unit_resolution,[status(thm)],[9936, 9921, 9885, 9881, 9877, 9873, 9856])).
% 4.70/3.56 tff(9938,plain,
% 4.70/3.56 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s120, c_t1)) | m_main_v_state1(s121, c_t1) | (~node6(s120, s121)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s120, c_t1)) | m_main_v_state1(s121, c_t1) | (~node6(s120, s121)))),
% 4.70/3.56 inference(rewrite,[status(thm)],[])).
% 4.70/3.56 tff(9939,plain,
% 4.70/3.56 (((~node6(s120, s121)) | (~m_main_v_state1(s120, c_t1)) | m_main_v_state1(s121, c_t1)) <=> ((~m_main_v_state1(s120, c_t1)) | m_main_v_state1(s121, c_t1) | (~node6(s120, s121)))),
% 4.70/3.56 inference(rewrite,[status(thm)],[])).
% 4.70/3.56 tff(9940,plain,
% 4.70/3.56 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s120, s121)) | (~m_main_v_state1(s120, c_t1)) | m_main_v_state1(s121, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s120, c_t1)) | m_main_v_state1(s121, c_t1) | (~node6(s120, s121))))),
% 4.70/3.56 inference(monotonicity,[status(thm)],[9939])).
% 4.70/3.56 tff(9941,plain,
% 4.70/3.56 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s120, s121)) | (~m_main_v_state1(s120, c_t1)) | m_main_v_state1(s121, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s120, c_t1)) | m_main_v_state1(s121, c_t1) | (~node6(s120, s121)))),
% 4.70/3.56 inference(transitivity,[status(thm)],[9940, 9938])).
% 4.70/3.56 tff(9942,plain,
% 4.70/3.56 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s120, s121)) | (~m_main_v_state1(s120, c_t1)) | m_main_v_state1(s121, c_t1))),
% 4.70/3.56 inference(quant_inst,[status(thm)],[])).
% 4.70/3.56 tff(9943,plain,
% 4.70/3.56 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s120, c_t1)) | m_main_v_state1(s121, c_t1) | (~node6(s120, s121))),
% 4.70/3.56 inference(modus_ponens,[status(thm)],[9942, 9941])).
% 4.70/3.56 tff(9944,plain,
% 4.70/3.56 (m_main_v_state1(s121, c_t1)),
% 4.70/3.56 inference(unit_resolution,[status(thm)],[9943, 856, 9848, 9937])).
% 4.70/3.56 tff(9945,plain,
% 4.70/3.56 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s120, c_t2)) | (~m_main_v_state2(s120, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s120, c_t2)) | (~m_main_v_state2(s120, c_c2)))),
% 4.70/3.56 inference(rewrite,[status(thm)],[])).
% 4.70/3.56 tff(9946,plain,
% 4.70/3.56 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s120, c_t2)) | (~m_main_v_state2(s120, c_c2)))),
% 4.70/3.56 inference(quant_inst,[status(thm)],[])).
% 4.70/3.56 tff(9947,plain,
% 4.70/3.56 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s120, c_t2)) | (~m_main_v_state2(s120, c_c2))),
% 4.70/3.56 inference(modus_ponens,[status(thm)],[9946, 9945])).
% 4.70/3.56 tff(9948,plain,
% 4.70/3.56 (~m_main_v_state2(s120, c_t2)),
% 4.70/3.56 inference(unit_resolution,[status(thm)],[9947, 260, 9913])).
% 4.70/3.56 tff(9949,plain,
% 4.70/3.56 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s120, c_t2) | (~node12(s120)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s120, c_t2) | (~node12(s120)))),
% 4.70/3.56 inference(rewrite,[status(thm)],[])).
% 4.70/3.56 tff(9950,plain,
% 4.70/3.56 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s120, c_t2) | (~node12(s120)))),
% 4.70/3.56 inference(quant_inst,[status(thm)],[])).
% 4.70/3.56 tff(9951,plain,
% 4.70/3.56 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s120, c_t2) | (~node12(s120))),
% 4.70/3.56 inference(modus_ponens,[status(thm)],[9950, 9949])).
% 4.70/3.56 tff(9952,plain,
% 4.70/3.56 (~node12(s120)),
% 4.70/3.56 inference(unit_resolution,[status(thm)],[9951, 633, 9948])).
% 4.70/3.56 tff(9953,plain,
% 4.70/3.56 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s120, c_n1) | (~node11(s120)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s120, c_n1) | (~node11(s120)))),
% 4.70/3.56 inference(rewrite,[status(thm)],[])).
% 4.70/3.56 tff(9954,plain,
% 4.70/3.56 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s120, c_n1) | (~node11(s120)))),
% 4.70/3.56 inference(quant_inst,[status(thm)],[])).
% 4.70/3.56 tff(9955,plain,
% 4.70/3.56 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s120, c_n1) | (~node11(s120))),
% 4.70/3.56 inference(modus_ponens,[status(thm)],[9954, 9953])).
% 4.70/3.56 tff(9956,plain,
% 4.70/3.56 (~node11(s120)),
% 4.70/3.56 inference(unit_resolution,[status(thm)],[9955, 238, 9852])).
% 4.70/3.56 tff(9957,plain,
% 4.70/3.56 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s120, c_c1) | (~node10(s120)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s120, c_c1) | (~node10(s120)))),
% 4.70/3.56 inference(rewrite,[status(thm)],[])).
% 4.70/3.56 tff(9958,plain,
% 4.70/3.56 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s120, c_c1) | (~node10(s120)))),
% 4.70/3.56 inference(quant_inst,[status(thm)],[])).
% 4.70/3.56 tff(9959,plain,
% 4.70/3.56 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s120, c_c1) | (~node10(s120))),
% 4.70/3.56 inference(modus_ponens,[status(thm)],[9958, 9957])).
% 4.70/3.56 tff(9960,plain,
% 4.70/3.56 (~node10(s120)),
% 4.70/3.56 inference(unit_resolution,[status(thm)],[9959, 675, 9885])).
% 4.70/3.56 tff(9961,plain,
% 4.70/3.56 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s120, c_n1) | (~node9(s120)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s120, c_n1) | (~node9(s120)))),
% 4.70/3.56 inference(rewrite,[status(thm)],[])).
% 4.70/3.56 tff(9962,plain,
% 4.70/3.56 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s120, c_n1) | (~node9(s120)))),
% 4.70/3.56 inference(quant_inst,[status(thm)],[])).
% 4.70/3.56 tff(9963,plain,
% 4.70/3.56 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s120, c_n1) | (~node9(s120))),
% 4.70/3.56 inference(modus_ponens,[status(thm)],[9962, 9961])).
% 4.70/3.56 tff(9964,plain,
% 4.70/3.56 (~node9(s120)),
% 4.70/3.56 inference(unit_resolution,[status(thm)],[9963, 686, 9852])).
% 4.70/3.56 tff(9965,plain,
% 4.70/3.56 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s120, c_n2) | (~node8(s120)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s120, c_n2) | (~node8(s120)))),
% 4.70/3.56 inference(rewrite,[status(thm)],[])).
% 4.70/3.56 tff(9966,plain,
% 4.70/3.56 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s120, c_n2) | (~node8(s120)))),
% 4.70/3.56 inference(quant_inst,[status(thm)],[])).
% 4.70/3.56 tff(9967,plain,
% 4.70/3.56 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s120, c_n2) | (~node8(s120))),
% 4.70/3.56 inference(modus_ponens,[status(thm)],[9966, 9965])).
% 4.70/3.56 tff(9968,plain,
% 4.70/3.56 (~node8(s120)),
% 4.70/3.56 inference(unit_resolution,[status(thm)],[9967, 271, 9917])).
% 4.70/3.56 tff(9969,plain,
% 4.70/3.56 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s120, s121)) | node14(s120, s121))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s120, s121)) | node14(s120, s121))),
% 4.70/3.56 inference(rewrite,[status(thm)],[])).
% 4.70/3.56 tff(9970,plain,
% 4.70/3.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s120, s121)) | node14(s120, s121))),
% 4.70/3.56 inference(quant_inst,[status(thm)],[])).
% 4.70/3.56 tff(9971,plain,
% 4.70/3.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s120, s121)) | node14(s120, s121)),
% 4.70/3.56 inference(modus_ponens,[status(thm)],[9970, 9969])).
% 4.70/3.56 tff(9972,plain,
% 4.70/3.56 (node14(s120, s121)),
% 4.70/3.56 inference(unit_resolution,[status(thm)],[9971, 46, 9928])).
% 4.70/3.56 tff(9973,plain,
% 4.70/3.56 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s121, c_n2) | node9(s120) | node8(s120) | node10(s120) | node11(s120) | node12(s120) | (~node14(s120, s121)) | (~m_main_v_state2(s120, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s121, c_n2) | node9(s120) | node8(s120) | node10(s120) | node11(s120) | node12(s120) | (~node14(s120, s121)) | (~m_main_v_state2(s120, c_c2)))),
% 4.70/3.56 inference(rewrite,[status(thm)],[])).
% 4.70/3.56 tff(9974,plain,
% 4.70/3.56 (((~m_main_v_state2(s120, c_c2)) | node9(s120) | node8(s120) | node10(s120) | node11(s120) | node12(s120) | (~node14(s120, s121)) | m_main_v_state2(s121, c_n2)) <=> (m_main_v_state2(s121, c_n2) | node9(s120) | node8(s120) | node10(s120) | node11(s120) | node12(s120) | (~node14(s120, s121)) | (~m_main_v_state2(s120, c_c2)))),
% 4.70/3.56 inference(rewrite,[status(thm)],[])).
% 4.70/3.56 tff(9975,plain,
% 4.70/3.56 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s120, c_c2)) | node9(s120) | node8(s120) | node10(s120) | node11(s120) | node12(s120) | (~node14(s120, s121)) | m_main_v_state2(s121, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s121, c_n2) | node9(s120) | node8(s120) | node10(s120) | node11(s120) | node12(s120) | (~node14(s120, s121)) | (~m_main_v_state2(s120, c_c2))))),
% 4.70/3.56 inference(monotonicity,[status(thm)],[9974])).
% 4.70/3.56 tff(9976,plain,
% 4.70/3.56 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s120, c_c2)) | node9(s120) | node8(s120) | node10(s120) | node11(s120) | node12(s120) | (~node14(s120, s121)) | m_main_v_state2(s121, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s121, c_n2) | node9(s120) | node8(s120) | node10(s120) | node11(s120) | node12(s120) | (~node14(s120, s121)) | (~m_main_v_state2(s120, c_c2)))),
% 4.70/3.56 inference(transitivity,[status(thm)],[9975, 9973])).
% 4.70/3.56 tff(9977,plain,
% 4.70/3.56 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s120, c_c2)) | node9(s120) | node8(s120) | node10(s120) | node11(s120) | node12(s120) | (~node14(s120, s121)) | m_main_v_state2(s121, c_n2))),
% 4.70/3.56 inference(quant_inst,[status(thm)],[])).
% 4.70/3.56 tff(9978,plain,
% 4.70/3.56 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s121, c_n2) | node9(s120) | node8(s120) | node10(s120) | node11(s120) | node12(s120) | (~node14(s120, s121)) | (~m_main_v_state2(s120, c_c2))),
% 4.70/3.56 inference(modus_ponens,[status(thm)],[9977, 9976])).
% 4.70/3.56 tff(9979,plain,
% 4.70/3.56 (m_main_v_state2(s121, c_n2) | node9(s120) | node8(s120) | node10(s120) | node11(s120) | node12(s120) | (~m_main_v_state2(s120, c_c2))),
% 4.70/3.56 inference(unit_resolution,[status(thm)],[9978, 726, 9972])).
% 4.70/3.56 tff(9980,plain,
% 4.70/3.56 (m_main_v_state2(s121, c_n2)),
% 4.70/3.56 inference(unit_resolution,[status(thm)],[9979, 9968, 9913, 9964, 9960, 9956, 9952])).
% 4.70/3.56 tff(9981,plain,
% 4.70/3.56 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s121, c_n2)) | (~m_main_v_state2(s121, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s121, c_n2)) | (~m_main_v_state2(s121, c_t2)))),
% 4.70/3.56 inference(rewrite,[status(thm)],[])).
% 4.70/3.56 tff(9982,plain,
% 4.70/3.56 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s121, c_n2)) | (~m_main_v_state2(s121, c_t2)))),
% 4.70/3.56 inference(quant_inst,[status(thm)],[])).
% 4.70/3.56 tff(9983,plain,
% 4.70/3.56 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s121, c_n2)) | (~m_main_v_state2(s121, c_t2))),
% 4.70/3.56 inference(modus_ponens,[status(thm)],[9982, 9981])).
% 4.70/3.56 tff(9984,plain,
% 4.70/3.56 (~m_main_v_state2(s121, c_t2)),
% 4.70/3.56 inference(unit_resolution,[status(thm)],[9983, 77, 9980])).
% 4.70/3.56 tff(9985,plain,
% 4.70/3.56 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s121, c_t2) | (~node15(s121)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s121, c_t2) | (~node15(s121)))),
% 4.70/3.56 inference(rewrite,[status(thm)],[])).
% 4.70/3.56 tff(9986,plain,
% 4.70/3.56 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s121, c_t2) | (~node15(s121)))),
% 4.70/3.56 inference(quant_inst,[status(thm)],[])).
% 4.70/3.56 tff(9987,plain,
% 4.70/3.56 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s121, c_t2) | (~node15(s121))),
% 4.70/3.56 inference(modus_ponens,[status(thm)],[9986, 9985])).
% 4.70/3.56 tff(9988,plain,
% 4.70/3.56 (~node15(s121)),
% 4.70/3.56 inference(unit_resolution,[status(thm)],[9987, 103, 9984])).
% 4.70/3.56 tff(9989,plain,
% 4.70/3.56 (succ(s121, s122) <=> succ(s121, s122)),
% 4.70/3.56 inference(rewrite,[status(thm)],[])).
% 4.70/3.56 tff(9990,axiom,(succ(s121, s122)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound122')).
% 4.70/3.56 tff(9991,plain,
% 4.70/3.56 (succ(s121, s122)),
% 4.70/3.56 inference(modus_ponens,[status(thm)],[9990, 9989])).
% 4.70/3.56 tff(9992,plain,
% 4.70/3.56 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s121, s122)) | trans(s121, s122))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s121, s122)) | trans(s121, s122))),
% 4.70/3.56 inference(rewrite,[status(thm)],[])).
% 4.70/3.56 tff(9993,plain,
% 4.70/3.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s121, s122)) | trans(s121, s122))),
% 4.70/3.56 inference(quant_inst,[status(thm)],[])).
% 4.70/3.56 tff(9994,plain,
% 4.70/3.56 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s121, s122)) | trans(s121, s122)),
% 4.70/3.56 inference(modus_ponens,[status(thm)],[9993, 9992])).
% 4.70/3.56 tff(9995,plain,
% 4.70/3.56 (trans(s121, s122)),
% 4.70/3.56 inference(unit_resolution,[status(thm)],[9994, 9991, 32])).
% 4.70/3.56 tff(9996,plain,
% 4.70/3.56 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s121, s122)) | node18(s121, s122))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s121, s122)) | node18(s121, s122))),
% 4.70/3.56 inference(rewrite,[status(thm)],[])).
% 4.70/3.56 tff(9997,plain,
% 4.70/3.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s121, s122)) | node18(s121, s122))),
% 4.70/3.56 inference(quant_inst,[status(thm)],[])).
% 4.70/3.56 tff(9998,plain,
% 4.70/3.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s121, s122)) | node18(s121, s122)),
% 4.70/3.56 inference(modus_ponens,[status(thm)],[9997, 9996])).
% 4.70/3.56 tff(9999,plain,
% 4.70/3.56 (node18(s121, s122)),
% 4.70/3.56 inference(unit_resolution,[status(thm)],[9998, 125, 9995])).
% 4.70/3.56 tff(10000,plain,
% 4.70/3.56 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s121) | (~node18(s121, s122)) | (~m_main_v_state1(s121, c_t1)) | (~m_main_v_state2(s121, c_n2)) | m_main_v_turn(s122, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s121) | (~node18(s121, s122)) | (~m_main_v_state1(s121, c_t1)) | (~m_main_v_state2(s121, c_n2)) | m_main_v_turn(s122, c_1))),
% 4.70/3.56 inference(rewrite,[status(thm)],[])).
% 4.70/3.56 tff(10001,plain,
% 4.70/3.56 (((~m_main_v_state1(s121, c_t1)) | (~m_main_v_state2(s121, c_n2)) | node15(s121) | (~node18(s121, s122)) | m_main_v_turn(s122, c_1)) <=> (node15(s121) | (~node18(s121, s122)) | (~m_main_v_state1(s121, c_t1)) | (~m_main_v_state2(s121, c_n2)) | m_main_v_turn(s122, c_1))),
% 4.70/3.56 inference(rewrite,[status(thm)],[])).
% 4.70/3.56 tff(10002,plain,
% 4.70/3.56 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s121, c_t1)) | (~m_main_v_state2(s121, c_n2)) | node15(s121) | (~node18(s121, s122)) | m_main_v_turn(s122, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s121) | (~node18(s121, s122)) | (~m_main_v_state1(s121, c_t1)) | (~m_main_v_state2(s121, c_n2)) | m_main_v_turn(s122, c_1)))),
% 4.70/3.56 inference(monotonicity,[status(thm)],[10001])).
% 4.70/3.56 tff(10003,plain,
% 4.70/3.56 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s121, c_t1)) | (~m_main_v_state2(s121, c_n2)) | node15(s121) | (~node18(s121, s122)) | m_main_v_turn(s122, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s121) | (~node18(s121, s122)) | (~m_main_v_state1(s121, c_t1)) | (~m_main_v_state2(s121, c_n2)) | m_main_v_turn(s122, c_1))),
% 4.70/3.56 inference(transitivity,[status(thm)],[10002, 10000])).
% 4.70/3.56 tff(10004,plain,
% 4.70/3.56 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s121, c_t1)) | (~m_main_v_state2(s121, c_n2)) | node15(s121) | (~node18(s121, s122)) | m_main_v_turn(s122, c_1))),
% 4.70/3.56 inference(quant_inst,[status(thm)],[])).
% 4.70/3.56 tff(10005,plain,
% 4.70/3.56 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s121) | (~node18(s121, s122)) | (~m_main_v_state1(s121, c_t1)) | (~m_main_v_state2(s121, c_n2)) | m_main_v_turn(s122, c_1)),
% 4.70/3.56 inference(modus_ponens,[status(thm)],[10004, 10003])).
% 4.70/3.56 tff(10006,plain,
% 4.70/3.56 (node15(s121) | (~m_main_v_state1(s121, c_t1)) | (~m_main_v_state2(s121, c_n2)) | m_main_v_turn(s122, c_1)),
% 4.70/3.56 inference(unit_resolution,[status(thm)],[10005, 992, 9999])).
% 4.70/3.56 tff(10007,plain,
% 4.70/3.56 (m_main_v_turn(s122, c_1)),
% 4.70/3.56 inference(unit_resolution,[status(thm)],[10006, 9988, 9980, 9944])).
% 4.70/3.56 tff(10008,plain,
% 4.70/3.56 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s122, c_1)) | (~m_main_v_turn(s122, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s122, c_1)) | (~m_main_v_turn(s122, c_2)))),
% 4.70/3.56 inference(rewrite,[status(thm)],[])).
% 4.70/3.56 tff(10009,plain,
% 4.70/3.56 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s122, c_1)) | (~m_main_v_turn(s122, c_2)))),
% 4.70/3.56 inference(quant_inst,[status(thm)],[])).
% 4.70/3.56 tff(10010,plain,
% 4.70/3.56 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s122, c_1)) | (~m_main_v_turn(s122, c_2))),
% 4.70/3.56 inference(modus_ponens,[status(thm)],[10009, 10008])).
% 4.70/3.56 tff(10011,plain,
% 4.70/3.56 (~m_main_v_turn(s122, c_2)),
% 4.70/3.56 inference(unit_resolution,[status(thm)],[10010, 156, 10007])).
% 4.70/3.56 tff(10012,plain,
% 4.70/3.56 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s122, c_2) | (~node12(s122)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s122, c_2) | (~node12(s122)))),
% 4.70/3.56 inference(rewrite,[status(thm)],[])).
% 4.70/3.56 tff(10013,plain,
% 4.70/3.56 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s122, c_2) | (~node12(s122)))),
% 4.70/3.56 inference(quant_inst,[status(thm)],[])).
% 4.70/3.56 tff(10014,plain,
% 4.70/3.56 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s122, c_2) | (~node12(s122))),
% 4.70/3.56 inference(modus_ponens,[status(thm)],[10013, 10012])).
% 4.70/3.56 tff(10015,plain,
% 4.70/3.56 (~node12(s122)),
% 4.70/3.56 inference(unit_resolution,[status(thm)],[10014, 184, 10011])).
% 4.70/3.56 tff(10016,plain,
% 4.70/3.56 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s121, s122)) | node14(s121, s122))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s121, s122)) | node14(s121, s122))),
% 4.70/3.56 inference(rewrite,[status(thm)],[])).
% 4.70/3.56 tff(10017,plain,
% 4.70/3.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s121, s122)) | node14(s121, s122))),
% 4.70/3.56 inference(quant_inst,[status(thm)],[])).
% 4.70/3.56 tff(10018,plain,
% 4.70/3.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s121, s122)) | node14(s121, s122)),
% 4.70/3.56 inference(modus_ponens,[status(thm)],[10017, 10016])).
% 4.70/3.56 tff(10019,plain,
% 4.70/3.56 (node14(s121, s122)),
% 4.70/3.56 inference(unit_resolution,[status(thm)],[10018, 46, 9995])).
% 4.70/3.56 tff(10020,plain,
% 4.70/3.56 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s121, c_t1)) | (~m_main_v_state2(s121, c_n2)) | (~node14(s121, s122)) | m_main_v_state2(s122, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s121, c_t1)) | (~m_main_v_state2(s121, c_n2)) | (~node14(s121, s122)) | m_main_v_state2(s122, c_t2))),
% 4.70/3.56 inference(rewrite,[status(thm)],[])).
% 4.70/3.56 tff(10021,plain,
% 4.70/3.56 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s121, c_t1)) | (~m_main_v_state2(s121, c_n2)) | (~node14(s121, s122)) | m_main_v_state2(s122, c_t2))),
% 4.70/3.56 inference(quant_inst,[status(thm)],[])).
% 4.70/3.56 tff(10022,plain,
% 4.70/3.56 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s121, c_t1)) | (~m_main_v_state2(s121, c_n2)) | (~node14(s121, s122)) | m_main_v_state2(s122, c_t2)),
% 4.70/3.56 inference(modus_ponens,[status(thm)],[10021, 10020])).
% 4.70/3.56 tff(10023,plain,
% 4.70/3.56 ((~m_main_v_state1(s121, c_t1)) | (~m_main_v_state2(s121, c_n2)) | m_main_v_state2(s122, c_t2)),
% 4.70/3.56 inference(unit_resolution,[status(thm)],[10022, 922, 10019])).
% 4.70/3.56 tff(10024,plain,
% 4.70/3.56 (m_main_v_state2(s122, c_t2)),
% 4.70/3.56 inference(unit_resolution,[status(thm)],[10023, 9944, 9980])).
% 4.70/3.56 tff(10025,plain,
% 4.70/3.56 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s122, c_n2)) | (~m_main_v_state2(s122, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s122, c_n2)) | (~m_main_v_state2(s122, c_t2)))),
% 4.70/3.56 inference(rewrite,[status(thm)],[])).
% 4.70/3.56 tff(10026,plain,
% 4.70/3.56 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s122, c_n2)) | (~m_main_v_state2(s122, c_t2)))),
% 4.70/3.56 inference(quant_inst,[status(thm)],[])).
% 4.70/3.56 tff(10027,plain,
% 4.70/3.56 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s122, c_n2)) | (~m_main_v_state2(s122, c_t2))),
% 4.70/3.56 inference(modus_ponens,[status(thm)],[10026, 10025])).
% 4.70/3.56 tff(10028,plain,
% 4.70/3.56 (~m_main_v_state2(s122, c_n2)),
% 4.70/3.56 inference(unit_resolution,[status(thm)],[10027, 77, 10024])).
% 4.70/3.56 tff(10029,plain,
% 4.70/3.56 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s122, c_n2) | (~node8(s122)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s122, c_n2) | (~node8(s122)))),
% 4.70/3.56 inference(rewrite,[status(thm)],[])).
% 4.70/3.56 tff(10030,plain,
% 4.70/3.56 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s122, c_n2) | (~node8(s122)))),
% 4.70/3.56 inference(quant_inst,[status(thm)],[])).
% 4.70/3.56 tff(10031,plain,
% 4.70/3.56 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s122, c_n2) | (~node8(s122))),
% 4.70/3.56 inference(modus_ponens,[status(thm)],[10030, 10029])).
% 4.70/3.56 tff(10032,plain,
% 4.70/3.56 (~node8(s122)),
% 4.70/3.56 inference(unit_resolution,[status(thm)],[10031, 271, 10028])).
% 4.70/3.56 tff(10033,plain,
% 4.70/3.56 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s122, c_n2) | (~node9(s122)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s122, c_n2) | (~node9(s122)))),
% 4.70/3.56 inference(rewrite,[status(thm)],[])).
% 4.70/3.56 tff(10034,plain,
% 4.70/3.56 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s122, c_n2) | (~node9(s122)))),
% 4.70/3.56 inference(quant_inst,[status(thm)],[])).
% 4.70/3.56 tff(10035,plain,
% 4.70/3.56 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s122, c_n2) | (~node9(s122))),
% 4.70/3.56 inference(modus_ponens,[status(thm)],[10034, 10033])).
% 4.70/3.56 tff(10036,plain,
% 4.70/3.56 (~node9(s122)),
% 4.70/3.56 inference(unit_resolution,[status(thm)],[10035, 88, 10028])).
% 4.70/3.56 tff(10037,plain,
% 4.70/3.56 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s122, c_n2) | (~node10(s122)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s122, c_n2) | (~node10(s122)))),
% 4.70/3.56 inference(rewrite,[status(thm)],[])).
% 4.70/3.56 tff(10038,plain,
% 4.70/3.56 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s122, c_n2) | (~node10(s122)))),
% 4.70/3.56 inference(quant_inst,[status(thm)],[])).
% 4.70/3.56 tff(10039,plain,
% 4.70/3.56 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s122, c_n2) | (~node10(s122))),
% 4.70/3.56 inference(modus_ponens,[status(thm)],[10038, 10037])).
% 4.70/3.56 tff(10040,plain,
% 4.70/3.56 (~node10(s122)),
% 4.70/3.56 inference(unit_resolution,[status(thm)],[10039, 249, 10028])).
% 4.70/3.56 tff(10041,plain,
% 4.70/3.56 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s122, c_t2)) | (~m_main_v_state2(s122, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s122, c_t2)) | (~m_main_v_state2(s122, c_c2)))),
% 4.70/3.56 inference(rewrite,[status(thm)],[])).
% 4.70/3.56 tff(10042,plain,
% 4.70/3.56 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s122, c_t2)) | (~m_main_v_state2(s122, c_c2)))),
% 4.70/3.56 inference(quant_inst,[status(thm)],[])).
% 4.70/3.56 tff(10043,plain,
% 4.70/3.56 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s122, c_t2)) | (~m_main_v_state2(s122, c_c2))),
% 4.70/3.56 inference(modus_ponens,[status(thm)],[10042, 10041])).
% 4.70/3.56 tff(10044,plain,
% 4.70/3.56 (~m_main_v_state2(s122, c_c2)),
% 4.70/3.56 inference(unit_resolution,[status(thm)],[10043, 260, 10024])).
% 4.70/3.56 tff(10045,plain,
% 4.70/3.56 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s121, c_n2)) | (~m_main_v_state2(s121, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s121, c_n2)) | (~m_main_v_state2(s121, c_c2)))),
% 4.70/3.56 inference(rewrite,[status(thm)],[])).
% 4.70/3.56 tff(10046,plain,
% 4.70/3.56 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s121, c_n2)) | (~m_main_v_state2(s121, c_c2)))),
% 4.70/3.56 inference(quant_inst,[status(thm)],[])).
% 4.70/3.56 tff(10047,plain,
% 4.70/3.56 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s121, c_n2)) | (~m_main_v_state2(s121, c_c2))),
% 4.70/3.56 inference(modus_ponens,[status(thm)],[10046, 10045])).
% 4.70/3.56 tff(10048,plain,
% 4.70/3.56 (~m_main_v_state2(s121, c_c2)),
% 4.70/3.56 inference(unit_resolution,[status(thm)],[10047, 697, 9980])).
% 4.70/3.56 tff(10049,plain,
% 4.70/3.56 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s121, c_c2) | (~node3(s121)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s121, c_c2) | (~node3(s121)))),
% 4.70/3.56 inference(rewrite,[status(thm)],[])).
% 4.70/3.56 tff(10050,plain,
% 4.70/3.56 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s121, c_c2) | (~node3(s121)))),
% 4.70/3.57 inference(quant_inst,[status(thm)],[])).
% 4.70/3.57 tff(10051,plain,
% 4.70/3.57 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s121, c_c2) | (~node3(s121))),
% 4.70/3.57 inference(modus_ponens,[status(thm)],[10050, 10049])).
% 4.70/3.57 tff(10052,plain,
% 4.70/3.57 (~node3(s121)),
% 4.70/3.57 inference(unit_resolution,[status(thm)],[10051, 399, 10048])).
% 4.70/3.57 tff(10053,plain,
% 4.70/3.57 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s120, c_n1) | (~m_main_v_state1(s121, c_n1)) | (~node6(s120, s121)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s120, c_n1) | (~m_main_v_state1(s121, c_n1)) | (~node6(s120, s121)))),
% 4.70/3.57 inference(rewrite,[status(thm)],[])).
% 4.70/3.57 tff(10054,plain,
% 4.70/3.57 (((~node6(s120, s121)) | m_main_v_state1(s120, c_n1) | (~m_main_v_state1(s121, c_n1))) <=> (m_main_v_state1(s120, c_n1) | (~m_main_v_state1(s121, c_n1)) | (~node6(s120, s121)))),
% 4.70/3.57 inference(rewrite,[status(thm)],[])).
% 4.70/3.57 tff(10055,plain,
% 4.70/3.57 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s120, s121)) | m_main_v_state1(s120, c_n1) | (~m_main_v_state1(s121, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s120, c_n1) | (~m_main_v_state1(s121, c_n1)) | (~node6(s120, s121))))),
% 4.70/3.57 inference(monotonicity,[status(thm)],[10054])).
% 4.70/3.57 tff(10056,plain,
% 4.70/3.57 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s120, s121)) | m_main_v_state1(s120, c_n1) | (~m_main_v_state1(s121, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s120, c_n1) | (~m_main_v_state1(s121, c_n1)) | (~node6(s120, s121)))),
% 4.70/3.57 inference(transitivity,[status(thm)],[10055, 10053])).
% 4.70/3.57 tff(10057,plain,
% 4.70/3.57 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s120, s121)) | m_main_v_state1(s120, c_n1) | (~m_main_v_state1(s121, c_n1)))),
% 4.70/3.57 inference(quant_inst,[status(thm)],[])).
% 4.70/3.57 tff(10058,plain,
% 4.70/3.57 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s120, c_n1) | (~m_main_v_state1(s121, c_n1)) | (~node6(s120, s121))),
% 4.70/3.57 inference(modus_ponens,[status(thm)],[10057, 10056])).
% 4.70/3.57 tff(10059,plain,
% 4.70/3.57 (~m_main_v_state1(s121, c_n1)),
% 4.70/3.57 inference(unit_resolution,[status(thm)],[10058, 835, 9852, 9937])).
% 4.70/3.57 tff(10060,plain,
% 4.70/3.57 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s121, c_n1) | (~node2(s121)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s121, c_n1) | (~node2(s121)))),
% 4.70/3.57 inference(rewrite,[status(thm)],[])).
% 4.70/3.57 tff(10061,plain,
% 4.70/3.57 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s121, c_n1) | (~node2(s121)))),
% 4.70/3.57 inference(quant_inst,[status(thm)],[])).
% 4.70/3.57 tff(10062,plain,
% 4.70/3.57 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s121, c_n1) | (~node2(s121))),
% 4.70/3.57 inference(modus_ponens,[status(thm)],[10061, 10060])).
% 4.70/3.57 tff(10063,plain,
% 4.70/3.57 (~node2(s121)),
% 4.70/3.57 inference(unit_resolution,[status(thm)],[10062, 787, 10059])).
% 4.70/3.57 tff(10064,plain,
% 4.70/3.57 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s121, c_t2) | (~node1(s121)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s121, c_t2) | (~node1(s121)))),
% 4.70/3.57 inference(rewrite,[status(thm)],[])).
% 4.70/3.57 tff(10065,plain,
% 4.70/3.57 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s121, c_t2) | (~node1(s121)))),
% 4.70/3.57 inference(quant_inst,[status(thm)],[])).
% 4.70/3.57 tff(10066,plain,
% 4.70/3.57 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s121, c_t2) | (~node1(s121))),
% 4.70/3.57 inference(modus_ponens,[status(thm)],[10065, 10064])).
% 4.70/3.57 tff(10067,plain,
% 4.70/3.57 (~node1(s121)),
% 4.70/3.57 inference(unit_resolution,[status(thm)],[10066, 195, 9984])).
% 4.70/3.57 tff(10068,plain,
% 4.70/3.57 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s121, s122)) | node7(s121, s122))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s121, s122)) | node7(s121, s122))),
% 4.70/3.57 inference(rewrite,[status(thm)],[])).
% 4.70/3.57 tff(10069,plain,
% 4.70/3.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s121, s122)) | node7(s121, s122))),
% 4.70/3.57 inference(quant_inst,[status(thm)],[])).
% 4.70/3.57 tff(10070,plain,
% 4.70/3.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s121, s122)) | node7(s121, s122)),
% 4.70/3.57 inference(modus_ponens,[status(thm)],[10069, 10068])).
% 4.70/3.57 tff(10071,plain,
% 4.70/3.57 (node7(s121, s122)),
% 4.70/3.57 inference(unit_resolution,[status(thm)],[10070, 206, 9995])).
% 4.70/3.57 tff(10072,plain,
% 4.70/3.57 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s121, c_t1)) | (~m_main_v_state2(s121, c_n2)) | m_main_v_state1(s122, c_c1) | node1(s121) | node2(s121) | node3(s121) | (~node7(s121, s122)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s121, c_t1)) | (~m_main_v_state2(s121, c_n2)) | m_main_v_state1(s122, c_c1) | node1(s121) | node2(s121) | node3(s121) | (~node7(s121, s122)))),
% 4.70/3.57 inference(rewrite,[status(thm)],[])).
% 4.70/3.57 tff(10073,plain,
% 4.70/3.57 (((~m_main_v_state1(s121, c_t1)) | (~m_main_v_state2(s121, c_n2)) | node1(s121) | node2(s121) | node3(s121) | (~node7(s121, s122)) | m_main_v_state1(s122, c_c1)) <=> ((~m_main_v_state1(s121, c_t1)) | (~m_main_v_state2(s121, c_n2)) | m_main_v_state1(s122, c_c1) | node1(s121) | node2(s121) | node3(s121) | (~node7(s121, s122)))),
% 4.70/3.57 inference(rewrite,[status(thm)],[])).
% 4.70/3.57 tff(10074,plain,
% 4.70/3.57 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s121, c_t1)) | (~m_main_v_state2(s121, c_n2)) | node1(s121) | node2(s121) | node3(s121) | (~node7(s121, s122)) | m_main_v_state1(s122, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s121, c_t1)) | (~m_main_v_state2(s121, c_n2)) | m_main_v_state1(s122, c_c1) | node1(s121) | node2(s121) | node3(s121) | (~node7(s121, s122))))),
% 4.70/3.57 inference(monotonicity,[status(thm)],[10073])).
% 4.70/3.57 tff(10075,plain,
% 4.70/3.57 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s121, c_t1)) | (~m_main_v_state2(s121, c_n2)) | node1(s121) | node2(s121) | node3(s121) | (~node7(s121, s122)) | m_main_v_state1(s122, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s121, c_t1)) | (~m_main_v_state2(s121, c_n2)) | m_main_v_state1(s122, c_c1) | node1(s121) | node2(s121) | node3(s121) | (~node7(s121, s122)))),
% 4.70/3.57 inference(transitivity,[status(thm)],[10074, 10072])).
% 4.70/3.57 tff(10076,plain,
% 4.70/3.57 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s121, c_t1)) | (~m_main_v_state2(s121, c_n2)) | node1(s121) | node2(s121) | node3(s121) | (~node7(s121, s122)) | m_main_v_state1(s122, c_c1))),
% 4.70/3.57 inference(quant_inst,[status(thm)],[])).
% 4.70/3.57 tff(10077,plain,
% 4.70/3.57 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s121, c_t1)) | (~m_main_v_state2(s121, c_n2)) | m_main_v_state1(s122, c_c1) | node1(s121) | node2(s121) | node3(s121) | (~node7(s121, s122))),
% 4.70/3.57 inference(modus_ponens,[status(thm)],[10076, 10075])).
% 4.70/3.57 tff(10078,plain,
% 4.70/3.57 ((~m_main_v_state1(s121, c_t1)) | (~m_main_v_state2(s121, c_n2)) | m_main_v_state1(s122, c_c1) | node1(s121) | node2(s121) | node3(s121)),
% 4.70/3.57 inference(unit_resolution,[status(thm)],[10077, 892, 10071])).
% 4.70/3.57 tff(10079,plain,
% 4.70/3.57 (m_main_v_state1(s122, c_c1)),
% 4.70/3.57 inference(unit_resolution,[status(thm)],[10078, 10067, 9980, 9944, 10063, 10052])).
% 4.70/3.57 tff(10080,plain,
% 4.70/3.57 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s122, c_n1)) | (~m_main_v_state1(s122, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s122, c_n1)) | (~m_main_v_state1(s122, c_c1)))),
% 4.70/3.57 inference(rewrite,[status(thm)],[])).
% 4.70/3.57 tff(10081,plain,
% 4.70/3.57 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s122, c_n1)) | (~m_main_v_state1(s122, c_c1)))),
% 4.70/3.57 inference(quant_inst,[status(thm)],[])).
% 4.70/3.57 tff(10082,plain,
% 4.70/3.57 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s122, c_n1)) | (~m_main_v_state1(s122, c_c1))),
% 4.70/3.57 inference(modus_ponens,[status(thm)],[10081, 10080])).
% 4.70/3.57 tff(10083,plain,
% 4.70/3.57 (~m_main_v_state1(s122, c_n1)),
% 4.70/3.57 inference(unit_resolution,[status(thm)],[10082, 454, 10079])).
% 4.70/3.57 tff(10084,plain,
% 4.70/3.57 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s122, c_n1) | (~node11(s122)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s122, c_n1) | (~node11(s122)))),
% 4.70/3.57 inference(rewrite,[status(thm)],[])).
% 4.70/3.57 tff(10085,plain,
% 4.70/3.57 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s122, c_n1) | (~node11(s122)))),
% 4.70/3.57 inference(quant_inst,[status(thm)],[])).
% 4.70/3.57 tff(10086,plain,
% 4.70/3.57 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s122, c_n1) | (~node11(s122))),
% 4.70/3.57 inference(modus_ponens,[status(thm)],[10085, 10084])).
% 4.70/3.57 tff(10087,plain,
% 4.70/3.57 (~node11(s122)),
% 4.70/3.57 inference(unit_resolution,[status(thm)],[10086, 238, 10083])).
% 4.70/3.57 tff(10088,plain,
% 4.70/3.57 (succ(s122, s123) <=> succ(s122, s123)),
% 4.70/3.57 inference(rewrite,[status(thm)],[])).
% 4.70/3.57 tff(10089,axiom,(succ(s122, s123)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound123')).
% 4.70/3.57 tff(10090,plain,
% 4.70/3.57 (succ(s122, s123)),
% 4.70/3.57 inference(modus_ponens,[status(thm)],[10089, 10088])).
% 4.70/3.57 tff(10091,plain,
% 4.70/3.57 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s122, s123)) | trans(s122, s123))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s122, s123)) | trans(s122, s123))),
% 4.70/3.57 inference(rewrite,[status(thm)],[])).
% 4.70/3.57 tff(10092,plain,
% 4.70/3.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s122, s123)) | trans(s122, s123))),
% 4.70/3.57 inference(quant_inst,[status(thm)],[])).
% 4.70/3.57 tff(10093,plain,
% 4.70/3.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s122, s123)) | trans(s122, s123)),
% 4.70/3.57 inference(modus_ponens,[status(thm)],[10092, 10091])).
% 4.70/3.57 tff(10094,plain,
% 4.70/3.57 (trans(s122, s123)),
% 4.70/3.57 inference(unit_resolution,[status(thm)],[10093, 10090, 32])).
% 4.70/3.57 tff(10095,plain,
% 4.70/3.57 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s122, s123)) | node14(s122, s123))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s122, s123)) | node14(s122, s123))),
% 4.70/3.57 inference(rewrite,[status(thm)],[])).
% 4.70/3.57 tff(10096,plain,
% 4.70/3.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s122, s123)) | node14(s122, s123))),
% 4.70/3.57 inference(quant_inst,[status(thm)],[])).
% 4.70/3.57 tff(10097,plain,
% 4.70/3.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s122, s123)) | node14(s122, s123)),
% 4.70/3.57 inference(modus_ponens,[status(thm)],[10096, 10095])).
% 4.70/3.57 tff(10098,plain,
% 4.70/3.57 (node14(s122, s123)),
% 4.70/3.57 inference(unit_resolution,[status(thm)],[10097, 46, 10094])).
% 4.70/3.57 tff(10099,plain,
% 4.70/3.57 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s122, c_c2) | node9(s122) | node8(s122) | node10(s122) | node11(s122) | node12(s122) | node13(s122, s123) | (~node14(s122, s123)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s122, c_c2) | node9(s122) | node8(s122) | node10(s122) | node11(s122) | node12(s122) | node13(s122, s123) | (~node14(s122, s123)))),
% 4.70/3.57 inference(rewrite,[status(thm)],[])).
% 4.70/3.57 tff(10100,plain,
% 4.70/3.57 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s122, c_c2) | node9(s122) | node8(s122) | node10(s122) | node11(s122) | node12(s122) | node13(s122, s123) | (~node14(s122, s123)))),
% 4.70/3.57 inference(quant_inst,[status(thm)],[])).
% 4.70/3.57 tff(10101,plain,
% 4.70/3.57 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s122, c_c2) | node9(s122) | node8(s122) | node10(s122) | node11(s122) | node12(s122) | node13(s122, s123) | (~node14(s122, s123))),
% 4.70/3.57 inference(modus_ponens,[status(thm)],[10100, 10099])).
% 4.70/3.57 tff(10102,plain,
% 4.70/3.57 (m_main_v_state2(s122, c_c2) | node9(s122) | node8(s122) | node10(s122) | node11(s122) | node12(s122) | node13(s122, s123)),
% 4.70/3.57 inference(unit_resolution,[status(thm)],[10101, 296, 10098])).
% 4.70/3.57 tff(10103,plain,
% 4.70/3.57 (node13(s122, s123)),
% 4.70/3.57 inference(unit_resolution,[status(thm)],[10102, 10087, 10044, 10040, 10036, 10032, 10015])).
% 4.70/3.57 tff(10104,plain,
% 4.70/3.57 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s122, c_n2) | (~m_main_v_state2(s123, c_n2)) | (~node13(s122, s123)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s122, c_n2) | (~m_main_v_state2(s123, c_n2)) | (~node13(s122, s123)))),
% 4.70/3.57 inference(rewrite,[status(thm)],[])).
% 4.70/3.57 tff(10105,plain,
% 4.70/3.57 (((~node13(s122, s123)) | m_main_v_state2(s122, c_n2) | (~m_main_v_state2(s123, c_n2))) <=> (m_main_v_state2(s122, c_n2) | (~m_main_v_state2(s123, c_n2)) | (~node13(s122, s123)))),
% 4.70/3.57 inference(rewrite,[status(thm)],[])).
% 4.70/3.57 tff(10106,plain,
% 4.70/3.57 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s122, s123)) | m_main_v_state2(s122, c_n2) | (~m_main_v_state2(s123, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s122, c_n2) | (~m_main_v_state2(s123, c_n2)) | (~node13(s122, s123))))),
% 4.70/3.57 inference(monotonicity,[status(thm)],[10105])).
% 4.70/3.57 tff(10107,plain,
% 4.70/3.57 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s122, s123)) | m_main_v_state2(s122, c_n2) | (~m_main_v_state2(s123, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s122, c_n2) | (~m_main_v_state2(s123, c_n2)) | (~node13(s122, s123)))),
% 4.70/3.57 inference(transitivity,[status(thm)],[10106, 10104])).
% 4.70/3.57 tff(10108,plain,
% 4.70/3.57 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s122, s123)) | m_main_v_state2(s122, c_n2) | (~m_main_v_state2(s123, c_n2)))),
% 4.70/3.57 inference(quant_inst,[status(thm)],[])).
% 4.70/3.57 tff(10109,plain,
% 4.70/3.57 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s122, c_n2) | (~m_main_v_state2(s123, c_n2)) | (~node13(s122, s123))),
% 4.70/3.57 inference(modus_ponens,[status(thm)],[10108, 10107])).
% 4.70/3.57 tff(10110,plain,
% 4.70/3.57 (~m_main_v_state2(s123, c_n2)),
% 4.70/3.57 inference(unit_resolution,[status(thm)],[10109, 311, 10028, 10103])).
% 4.70/3.57 tff(10111,plain,
% 4.70/3.57 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s123, c_n2) | (~node9(s123)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s123, c_n2) | (~node9(s123)))),
% 4.70/3.57 inference(rewrite,[status(thm)],[])).
% 4.70/3.57 tff(10112,plain,
% 4.70/3.57 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s123, c_n2) | (~node9(s123)))),
% 4.70/3.57 inference(quant_inst,[status(thm)],[])).
% 4.70/3.57 tff(10113,plain,
% 4.70/3.57 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s123, c_n2) | (~node9(s123))),
% 4.70/3.57 inference(modus_ponens,[status(thm)],[10112, 10111])).
% 4.70/3.57 tff(10114,plain,
% 4.70/3.57 (~node9(s123)),
% 4.70/3.57 inference(unit_resolution,[status(thm)],[10113, 88, 10110])).
% 4.70/3.57 tff(10115,plain,
% 4.70/3.57 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s123, c_n2) | (~node10(s123)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s123, c_n2) | (~node10(s123)))),
% 4.70/3.57 inference(rewrite,[status(thm)],[])).
% 4.70/3.57 tff(10116,plain,
% 4.70/3.57 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s123, c_n2) | (~node10(s123)))),
% 4.70/3.57 inference(quant_inst,[status(thm)],[])).
% 4.70/3.57 tff(10117,plain,
% 4.70/3.57 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s123, c_n2) | (~node10(s123))),
% 4.70/3.57 inference(modus_ponens,[status(thm)],[10116, 10115])).
% 4.70/3.57 tff(10118,plain,
% 4.70/3.57 (~node10(s123)),
% 4.70/3.57 inference(unit_resolution,[status(thm)],[10117, 249, 10110])).
% 4.70/3.57 tff(10119,plain,
% 4.70/3.57 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s122, c_t2)) | m_main_v_state2(s123, c_t2) | (~node13(s122, s123)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s122, c_t2)) | m_main_v_state2(s123, c_t2) | (~node13(s122, s123)))),
% 4.70/3.57 inference(rewrite,[status(thm)],[])).
% 4.70/3.57 tff(10120,plain,
% 4.70/3.57 (((~node13(s122, s123)) | (~m_main_v_state2(s122, c_t2)) | m_main_v_state2(s123, c_t2)) <=> ((~m_main_v_state2(s122, c_t2)) | m_main_v_state2(s123, c_t2) | (~node13(s122, s123)))),
% 4.70/3.57 inference(rewrite,[status(thm)],[])).
% 4.70/3.57 tff(10121,plain,
% 4.70/3.57 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s122, s123)) | (~m_main_v_state2(s122, c_t2)) | m_main_v_state2(s123, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s122, c_t2)) | m_main_v_state2(s123, c_t2) | (~node13(s122, s123))))),
% 4.70/3.57 inference(monotonicity,[status(thm)],[10120])).
% 4.70/3.57 tff(10122,plain,
% 4.70/3.57 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s122, s123)) | (~m_main_v_state2(s122, c_t2)) | m_main_v_state2(s123, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s122, c_t2)) | m_main_v_state2(s123, c_t2) | (~node13(s122, s123)))),
% 4.70/3.57 inference(transitivity,[status(thm)],[10121, 10119])).
% 4.70/3.57 tff(10123,plain,
% 4.70/3.57 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s122, s123)) | (~m_main_v_state2(s122, c_t2)) | m_main_v_state2(s123, c_t2))),
% 4.70/3.57 inference(quant_inst,[status(thm)],[])).
% 4.70/3.57 tff(10124,plain,
% 4.70/3.57 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s122, c_t2)) | m_main_v_state2(s123, c_t2) | (~node13(s122, s123))),
% 4.70/3.57 inference(modus_ponens,[status(thm)],[10123, 10122])).
% 4.70/3.57 tff(10125,plain,
% 4.70/3.57 (m_main_v_state2(s123, c_t2)),
% 4.70/3.57 inference(unit_resolution,[status(thm)],[10124, 518, 10024, 10103])).
% 4.70/3.57 tff(10126,plain,
% 4.70/3.57 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s122, c_t1)) | (~m_main_v_state1(s122, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s122, c_t1)) | (~m_main_v_state1(s122, c_c1)))),
% 4.70/3.57 inference(rewrite,[status(thm)],[])).
% 4.70/3.57 tff(10127,plain,
% 4.70/3.57 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s122, c_t1)) | (~m_main_v_state1(s122, c_c1)))),
% 4.70/3.57 inference(quant_inst,[status(thm)],[])).
% 4.70/3.57 tff(10128,plain,
% 4.70/3.57 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s122, c_t1)) | (~m_main_v_state1(s122, c_c1))),
% 4.70/3.57 inference(modus_ponens,[status(thm)],[10127, 10126])).
% 4.70/3.57 tff(10129,plain,
% 4.70/3.57 (~m_main_v_state1(s122, c_t1)),
% 4.70/3.57 inference(unit_resolution,[status(thm)],[10128, 539, 10079])).
% 4.70/3.57 tff(10130,plain,
% 4.70/3.57 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s122, c_t1) | (~node5(s122)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s122, c_t1) | (~node5(s122)))),
% 4.70/3.57 inference(rewrite,[status(thm)],[])).
% 4.70/3.57 tff(10131,plain,
% 4.70/3.57 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s122, c_t1) | (~node5(s122)))),
% 4.70/3.57 inference(quant_inst,[status(thm)],[])).
% 4.70/3.57 tff(10132,plain,
% 4.70/3.57 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s122, c_t1) | (~node5(s122))),
% 4.70/3.57 inference(modus_ponens,[status(thm)],[10131, 10130])).
% 4.70/3.57 tff(10133,plain,
% 4.70/3.57 (~node5(s122)),
% 4.70/3.57 inference(unit_resolution,[status(thm)],[10132, 550, 10129])).
% 4.70/3.57 tff(10134,plain,
% 4.70/3.57 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s122, c_n2) | (~node4(s122)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s122, c_n2) | (~node4(s122)))),
% 4.70/3.57 inference(rewrite,[status(thm)],[])).
% 4.70/3.57 tff(10135,plain,
% 4.70/3.57 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s122, c_n2) | (~node4(s122)))),
% 4.70/3.57 inference(quant_inst,[status(thm)],[])).
% 4.70/3.57 tff(10136,plain,
% 4.70/3.57 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s122, c_n2) | (~node4(s122))),
% 4.70/3.57 inference(modus_ponens,[status(thm)],[10135, 10134])).
% 4.70/3.57 tff(10137,plain,
% 4.70/3.57 (~node4(s122)),
% 4.70/3.57 inference(unit_resolution,[status(thm)],[10136, 388, 10028])).
% 4.70/3.57 tff(10138,plain,
% 4.70/3.57 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s122, c_c2) | (~node3(s122)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s122, c_c2) | (~node3(s122)))),
% 4.70/3.57 inference(rewrite,[status(thm)],[])).
% 4.70/3.57 tff(10139,plain,
% 4.70/3.57 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s122, c_c2) | (~node3(s122)))),
% 4.70/3.57 inference(quant_inst,[status(thm)],[])).
% 4.70/3.57 tff(10140,plain,
% 4.70/3.57 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s122, c_c2) | (~node3(s122))),
% 4.70/3.57 inference(modus_ponens,[status(thm)],[10139, 10138])).
% 4.70/3.57 tff(10141,plain,
% 4.70/3.57 (~node3(s122)),
% 4.70/3.57 inference(unit_resolution,[status(thm)],[10140, 399, 10044])).
% 4.70/3.57 tff(10142,plain,
% 4.70/3.57 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s122, c_n2) | (~node2(s122)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s122, c_n2) | (~node2(s122)))),
% 4.70/3.57 inference(rewrite,[status(thm)],[])).
% 4.70/3.57 tff(10143,plain,
% 4.70/3.57 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s122, c_n2) | (~node2(s122)))),
% 4.70/3.57 inference(quant_inst,[status(thm)],[])).
% 4.70/3.57 tff(10144,plain,
% 4.70/3.57 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s122, c_n2) | (~node2(s122))),
% 4.70/3.57 inference(modus_ponens,[status(thm)],[10143, 10142])).
% 4.70/3.57 tff(10145,plain,
% 4.70/3.57 (~node2(s122)),
% 4.70/3.57 inference(unit_resolution,[status(thm)],[10144, 410, 10028])).
% 4.70/3.57 tff(10146,plain,
% 4.70/3.57 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s122, c_n1) | (~node1(s122)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s122, c_n1) | (~node1(s122)))),
% 4.70/3.57 inference(rewrite,[status(thm)],[])).
% 4.70/3.57 tff(10147,plain,
% 4.70/3.57 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s122, c_n1) | (~node1(s122)))),
% 4.70/3.57 inference(quant_inst,[status(thm)],[])).
% 4.70/3.57 tff(10148,plain,
% 4.70/3.57 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s122, c_n1) | (~node1(s122))),
% 4.70/3.57 inference(modus_ponens,[status(thm)],[10147, 10146])).
% 4.70/3.57 tff(10149,plain,
% 4.70/3.57 (~node1(s122)),
% 4.70/3.57 inference(unit_resolution,[status(thm)],[10148, 421, 10083])).
% 4.70/3.57 tff(10150,plain,
% 4.70/3.57 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s122, s123)) | node7(s122, s123))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s122, s123)) | node7(s122, s123))),
% 4.70/3.57 inference(rewrite,[status(thm)],[])).
% 4.70/3.57 tff(10151,plain,
% 4.70/3.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s122, s123)) | node7(s122, s123))),
% 4.70/3.57 inference(quant_inst,[status(thm)],[])).
% 4.70/3.57 tff(10152,plain,
% 4.70/3.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s122, s123)) | node7(s122, s123)),
% 4.70/3.57 inference(modus_ponens,[status(thm)],[10151, 10150])).
% 4.70/3.57 tff(10153,plain,
% 4.70/3.57 (node7(s122, s123)),
% 4.70/3.57 inference(unit_resolution,[status(thm)],[10152, 206, 10094])).
% 4.70/3.57 tff(10154,plain,
% 4.70/3.57 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s123, c_n1) | (~m_main_v_state1(s122, c_c1)) | node1(s122) | node2(s122) | node3(s122) | node4(s122) | node5(s122) | (~node7(s122, s123)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s123, c_n1) | (~m_main_v_state1(s122, c_c1)) | node1(s122) | node2(s122) | node3(s122) | node4(s122) | node5(s122) | (~node7(s122, s123)))),
% 4.70/3.57 inference(rewrite,[status(thm)],[])).
% 4.70/3.57 tff(10155,plain,
% 4.70/3.57 (((~m_main_v_state1(s122, c_c1)) | node1(s122) | node2(s122) | node3(s122) | node4(s122) | node5(s122) | (~node7(s122, s123)) | m_main_v_state1(s123, c_n1)) <=> (m_main_v_state1(s123, c_n1) | (~m_main_v_state1(s122, c_c1)) | node1(s122) | node2(s122) | node3(s122) | node4(s122) | node5(s122) | (~node7(s122, s123)))),
% 4.70/3.57 inference(rewrite,[status(thm)],[])).
% 4.70/3.57 tff(10156,plain,
% 4.70/3.57 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s122, c_c1)) | node1(s122) | node2(s122) | node3(s122) | node4(s122) | node5(s122) | (~node7(s122, s123)) | m_main_v_state1(s123, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s123, c_n1) | (~m_main_v_state1(s122, c_c1)) | node1(s122) | node2(s122) | node3(s122) | node4(s122) | node5(s122) | (~node7(s122, s123))))),
% 4.70/3.57 inference(monotonicity,[status(thm)],[10155])).
% 4.70/3.57 tff(10157,plain,
% 4.70/3.57 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s122, c_c1)) | node1(s122) | node2(s122) | node3(s122) | node4(s122) | node5(s122) | (~node7(s122, s123)) | m_main_v_state1(s123, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s123, c_n1) | (~m_main_v_state1(s122, c_c1)) | node1(s122) | node2(s122) | node3(s122) | node4(s122) | node5(s122) | (~node7(s122, s123)))),
% 4.70/3.57 inference(transitivity,[status(thm)],[10156, 10154])).
% 4.70/3.57 tff(10158,plain,
% 4.70/3.57 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s122, c_c1)) | node1(s122) | node2(s122) | node3(s122) | node4(s122) | node5(s122) | (~node7(s122, s123)) | m_main_v_state1(s123, c_n1))),
% 4.70/3.57 inference(quant_inst,[status(thm)],[])).
% 4.70/3.57 tff(10159,plain,
% 4.70/3.57 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s123, c_n1) | (~m_main_v_state1(s122, c_c1)) | node1(s122) | node2(s122) | node3(s122) | node4(s122) | node5(s122) | (~node7(s122, s123))),
% 4.70/3.57 inference(modus_ponens,[status(thm)],[10158, 10157])).
% 4.70/3.57 tff(10160,plain,
% 4.70/3.57 (m_main_v_state1(s123, c_n1) | (~m_main_v_state1(s122, c_c1)) | node1(s122) | node2(s122) | node3(s122) | node4(s122) | node5(s122)),
% 4.70/3.57 inference(unit_resolution,[status(thm)],[10159, 584, 10153])).
% 4.70/3.57 tff(10161,plain,
% 4.70/3.57 (m_main_v_state1(s123, c_n1)),
% 4.70/3.57 inference(unit_resolution,[status(thm)],[10160, 10149, 10079, 10145, 10141, 10137, 10133])).
% 4.70/3.57 tff(10162,plain,
% 4.70/3.57 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s123, c_n2) | (~node8(s123)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s123, c_n2) | (~node8(s123)))),
% 4.70/3.57 inference(rewrite,[status(thm)],[])).
% 4.70/3.57 tff(10163,plain,
% 4.70/3.57 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s123, c_n2) | (~node8(s123)))),
% 4.70/3.57 inference(quant_inst,[status(thm)],[])).
% 4.70/3.57 tff(10164,plain,
% 4.70/3.57 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s123, c_n2) | (~node8(s123))),
% 4.70/3.57 inference(modus_ponens,[status(thm)],[10163, 10162])).
% 4.70/3.57 tff(10165,plain,
% 4.70/3.57 (~node8(s123)),
% 4.70/3.57 inference(unit_resolution,[status(thm)],[10164, 271, 10110])).
% 4.70/3.57 tff(10166,plain,
% 4.70/3.57 (succ(s123, s124) <=> succ(s123, s124)),
% 4.70/3.57 inference(rewrite,[status(thm)],[])).
% 4.70/3.57 tff(10167,axiom,(succ(s123, s124)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound124')).
% 4.70/3.57 tff(10168,plain,
% 4.70/3.57 (succ(s123, s124)),
% 4.70/3.57 inference(modus_ponens,[status(thm)],[10167, 10166])).
% 4.70/3.57 tff(10169,plain,
% 4.70/3.57 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s123, s124)) | trans(s123, s124))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s123, s124)) | trans(s123, s124))),
% 4.70/3.57 inference(rewrite,[status(thm)],[])).
% 4.70/3.57 tff(10170,plain,
% 4.70/3.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s123, s124)) | trans(s123, s124))),
% 4.70/3.57 inference(quant_inst,[status(thm)],[])).
% 4.70/3.57 tff(10171,plain,
% 4.70/3.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s123, s124)) | trans(s123, s124)),
% 4.70/3.57 inference(modus_ponens,[status(thm)],[10170, 10169])).
% 4.70/3.57 tff(10172,plain,
% 4.70/3.57 (trans(s123, s124)),
% 4.70/3.57 inference(unit_resolution,[status(thm)],[10171, 10168, 32])).
% 4.70/3.57 tff(10173,plain,
% 4.70/3.57 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s123, s124)) | node14(s123, s124))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s123, s124)) | node14(s123, s124))),
% 4.70/3.57 inference(rewrite,[status(thm)],[])).
% 4.70/3.57 tff(10174,plain,
% 4.70/3.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s123, s124)) | node14(s123, s124))),
% 4.70/3.58 inference(quant_inst,[status(thm)],[])).
% 4.70/3.58 tff(10175,plain,
% 4.70/3.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s123, s124)) | node14(s123, s124)),
% 4.70/3.58 inference(modus_ponens,[status(thm)],[10174, 10173])).
% 4.70/3.58 tff(10176,plain,
% 4.70/3.58 (node14(s123, s124)),
% 4.70/3.58 inference(unit_resolution,[status(thm)],[10175, 46, 10172])).
% 4.70/3.58 tff(10177,plain,
% 4.70/3.58 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s123, c_n1)) | (~m_main_v_state2(s123, c_t2)) | node9(s123) | node8(s123) | node10(s123) | (~node14(s123, s124)) | m_main_v_state2(s124, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s123, c_n1)) | (~m_main_v_state2(s123, c_t2)) | node9(s123) | node8(s123) | node10(s123) | (~node14(s123, s124)) | m_main_v_state2(s124, c_c2))),
% 4.70/3.58 inference(rewrite,[status(thm)],[])).
% 4.70/3.58 tff(10178,plain,
% 4.70/3.58 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s123, c_n1)) | (~m_main_v_state2(s123, c_t2)) | node9(s123) | node8(s123) | node10(s123) | (~node14(s123, s124)) | m_main_v_state2(s124, c_c2))),
% 4.70/3.58 inference(quant_inst,[status(thm)],[])).
% 4.70/3.58 tff(10179,plain,
% 4.70/3.58 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s123, c_n1)) | (~m_main_v_state2(s123, c_t2)) | node9(s123) | node8(s123) | node10(s123) | (~node14(s123, s124)) | m_main_v_state2(s124, c_c2)),
% 4.70/3.58 inference(modus_ponens,[status(thm)],[10178, 10177])).
% 4.70/3.58 tff(10180,plain,
% 4.70/3.58 ((~m_main_v_state1(s123, c_n1)) | (~m_main_v_state2(s123, c_t2)) | node9(s123) | node8(s123) | node10(s123) | m_main_v_state2(s124, c_c2)),
% 4.70/3.58 inference(unit_resolution,[status(thm)],[10179, 617, 10176])).
% 4.70/3.58 tff(10181,plain,
% 4.70/3.58 (m_main_v_state2(s124, c_c2)),
% 4.70/3.58 inference(unit_resolution,[status(thm)],[10180, 10165, 10161, 10125, 10118, 10114])).
% 4.70/3.58 tff(10182,plain,
% 4.70/3.58 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s124, c_t2)) | (~m_main_v_state2(s124, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s124, c_t2)) | (~m_main_v_state2(s124, c_c2)))),
% 4.70/3.58 inference(rewrite,[status(thm)],[])).
% 4.70/3.58 tff(10183,plain,
% 4.70/3.58 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s124, c_t2)) | (~m_main_v_state2(s124, c_c2)))),
% 4.70/3.58 inference(quant_inst,[status(thm)],[])).
% 4.70/3.58 tff(10184,plain,
% 4.70/3.58 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s124, c_t2)) | (~m_main_v_state2(s124, c_c2))),
% 4.70/3.58 inference(modus_ponens,[status(thm)],[10183, 10182])).
% 4.70/3.58 tff(10185,plain,
% 4.70/3.58 (~m_main_v_state2(s124, c_t2)),
% 4.70/3.58 inference(unit_resolution,[status(thm)],[10184, 260, 10181])).
% 4.70/3.58 tff(10186,plain,
% 4.70/3.58 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s124, c_t2) | (~node12(s124)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s124, c_t2) | (~node12(s124)))),
% 4.70/3.58 inference(rewrite,[status(thm)],[])).
% 4.70/3.58 tff(10187,plain,
% 4.70/3.58 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s124, c_t2) | (~node12(s124)))),
% 4.70/3.58 inference(quant_inst,[status(thm)],[])).
% 4.70/3.58 tff(10188,plain,
% 4.70/3.58 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s124, c_t2) | (~node12(s124))),
% 4.70/3.58 inference(modus_ponens,[status(thm)],[10187, 10186])).
% 4.70/3.58 tff(10189,plain,
% 4.70/3.58 (~node12(s124)),
% 4.70/3.58 inference(unit_resolution,[status(thm)],[10188, 633, 10185])).
% 4.70/3.58 tff(10190,plain,
% 4.70/3.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s123, s124)) | node7(s123, s124))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s123, s124)) | node7(s123, s124))),
% 4.70/3.58 inference(rewrite,[status(thm)],[])).
% 4.70/3.58 tff(10191,plain,
% 4.70/3.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s123, s124)) | node7(s123, s124))),
% 4.70/3.58 inference(quant_inst,[status(thm)],[])).
% 4.70/3.58 tff(10192,plain,
% 4.70/3.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s123, s124)) | node7(s123, s124)),
% 4.70/3.58 inference(modus_ponens,[status(thm)],[10191, 10190])).
% 4.70/3.58 tff(10193,plain,
% 4.70/3.58 (node7(s123, s124)),
% 4.70/3.58 inference(unit_resolution,[status(thm)],[10192, 206, 10172])).
% 4.70/3.58 tff(10194,plain,
% 4.70/3.58 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s123, c_n1)) | (~m_main_v_state2(s123, c_t2)) | (~node7(s123, s124)) | m_main_v_state1(s124, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s123, c_n1)) | (~m_main_v_state2(s123, c_t2)) | (~node7(s123, s124)) | m_main_v_state1(s124, c_t1))),
% 4.70/3.58 inference(rewrite,[status(thm)],[])).
% 4.70/3.58 tff(10195,plain,
% 4.70/3.58 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s123, c_n1)) | (~m_main_v_state2(s123, c_t2)) | (~node7(s123, s124)) | m_main_v_state1(s124, c_t1))),
% 4.70/3.58 inference(quant_inst,[status(thm)],[])).
% 4.70/3.58 tff(10196,plain,
% 4.70/3.58 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s123, c_n1)) | (~m_main_v_state2(s123, c_t2)) | (~node7(s123, s124)) | m_main_v_state1(s124, c_t1)),
% 4.70/3.58 inference(modus_ponens,[status(thm)],[10195, 10194])).
% 4.70/3.58 tff(10197,plain,
% 4.70/3.58 ((~m_main_v_state1(s123, c_n1)) | (~m_main_v_state2(s123, c_t2)) | m_main_v_state1(s124, c_t1)),
% 4.70/3.58 inference(unit_resolution,[status(thm)],[10196, 651, 10193])).
% 4.70/3.58 tff(10198,plain,
% 4.70/3.58 (m_main_v_state1(s124, c_t1)),
% 4.70/3.58 inference(unit_resolution,[status(thm)],[10197, 10125, 10161])).
% 4.70/3.58 tff(10199,plain,
% 4.70/3.58 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s124, c_n1)) | (~m_main_v_state1(s124, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s124, c_n1)) | (~m_main_v_state1(s124, c_t1)))),
% 4.70/3.58 inference(rewrite,[status(thm)],[])).
% 4.70/3.58 tff(10200,plain,
% 4.70/3.58 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s124, c_n1)) | (~m_main_v_state1(s124, c_t1)))),
% 4.70/3.58 inference(quant_inst,[status(thm)],[])).
% 4.70/3.58 tff(10201,plain,
% 4.70/3.58 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s124, c_n1)) | (~m_main_v_state1(s124, c_t1))),
% 4.70/3.58 inference(modus_ponens,[status(thm)],[10200, 10199])).
% 4.70/3.58 tff(10202,plain,
% 4.70/3.58 (~m_main_v_state1(s124, c_n1)),
% 4.70/3.58 inference(unit_resolution,[status(thm)],[10201, 10, 10198])).
% 4.70/3.58 tff(10203,plain,
% 4.70/3.58 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s124, c_n1) | (~node11(s124)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s124, c_n1) | (~node11(s124)))),
% 4.70/3.58 inference(rewrite,[status(thm)],[])).
% 4.70/3.58 tff(10204,plain,
% 4.70/3.58 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s124, c_n1) | (~node11(s124)))),
% 4.70/3.58 inference(quant_inst,[status(thm)],[])).
% 4.70/3.58 tff(10205,plain,
% 4.70/3.58 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s124, c_n1) | (~node11(s124))),
% 4.70/3.58 inference(modus_ponens,[status(thm)],[10204, 10203])).
% 4.70/3.58 tff(10206,plain,
% 4.70/3.58 (~node11(s124)),
% 4.70/3.58 inference(unit_resolution,[status(thm)],[10205, 238, 10202])).
% 4.70/3.58 tff(10207,plain,
% 4.70/3.58 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s124, c_t1)) | (~m_main_v_state1(s124, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s124, c_t1)) | (~m_main_v_state1(s124, c_c1)))),
% 4.70/3.58 inference(rewrite,[status(thm)],[])).
% 4.70/3.58 tff(10208,plain,
% 4.70/3.58 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s124, c_t1)) | (~m_main_v_state1(s124, c_c1)))),
% 4.70/3.58 inference(quant_inst,[status(thm)],[])).
% 4.70/3.58 tff(10209,plain,
% 4.70/3.58 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s124, c_t1)) | (~m_main_v_state1(s124, c_c1))),
% 4.70/3.58 inference(modus_ponens,[status(thm)],[10208, 10207])).
% 4.70/3.58 tff(10210,plain,
% 4.70/3.58 (~m_main_v_state1(s124, c_c1)),
% 4.70/3.58 inference(unit_resolution,[status(thm)],[10209, 539, 10198])).
% 4.70/3.58 tff(10211,plain,
% 4.70/3.58 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s124, c_c1) | (~node10(s124)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s124, c_c1) | (~node10(s124)))),
% 4.70/3.58 inference(rewrite,[status(thm)],[])).
% 4.70/3.58 tff(10212,plain,
% 4.70/3.58 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s124, c_c1) | (~node10(s124)))),
% 4.70/3.58 inference(quant_inst,[status(thm)],[])).
% 4.70/3.58 tff(10213,plain,
% 4.70/3.58 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s124, c_c1) | (~node10(s124))),
% 4.70/3.58 inference(modus_ponens,[status(thm)],[10212, 10211])).
% 4.70/3.58 tff(10214,plain,
% 4.70/3.58 (~node10(s124)),
% 4.70/3.58 inference(unit_resolution,[status(thm)],[10213, 675, 10210])).
% 4.70/3.58 tff(10215,plain,
% 4.70/3.58 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s124, c_n1) | (~node9(s124)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s124, c_n1) | (~node9(s124)))),
% 4.70/3.58 inference(rewrite,[status(thm)],[])).
% 4.70/3.58 tff(10216,plain,
% 4.70/3.58 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s124, c_n1) | (~node9(s124)))),
% 4.70/3.58 inference(quant_inst,[status(thm)],[])).
% 4.70/3.58 tff(10217,plain,
% 4.70/3.58 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s124, c_n1) | (~node9(s124))),
% 4.70/3.58 inference(modus_ponens,[status(thm)],[10216, 10215])).
% 4.70/3.58 tff(10218,plain,
% 4.70/3.58 (~node9(s124)),
% 4.70/3.58 inference(unit_resolution,[status(thm)],[10217, 686, 10202])).
% 4.70/3.58 tff(10219,plain,
% 4.70/3.58 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s124, c_n2)) | (~m_main_v_state2(s124, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s124, c_n2)) | (~m_main_v_state2(s124, c_c2)))),
% 4.70/3.58 inference(rewrite,[status(thm)],[])).
% 4.70/3.58 tff(10220,plain,
% 4.70/3.58 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s124, c_n2)) | (~m_main_v_state2(s124, c_c2)))),
% 4.70/3.58 inference(quant_inst,[status(thm)],[])).
% 4.70/3.58 tff(10221,plain,
% 4.70/3.58 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s124, c_n2)) | (~m_main_v_state2(s124, c_c2))),
% 4.70/3.58 inference(modus_ponens,[status(thm)],[10220, 10219])).
% 4.70/3.58 tff(10222,plain,
% 4.70/3.58 (~m_main_v_state2(s124, c_n2)),
% 4.70/3.58 inference(unit_resolution,[status(thm)],[10221, 697, 10181])).
% 4.70/3.58 tff(10223,plain,
% 4.70/3.58 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s124, c_n2) | (~node8(s124)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s124, c_n2) | (~node8(s124)))),
% 4.70/3.58 inference(rewrite,[status(thm)],[])).
% 4.70/3.58 tff(10224,plain,
% 4.70/3.58 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s124, c_n2) | (~node8(s124)))),
% 4.70/3.58 inference(quant_inst,[status(thm)],[])).
% 4.70/3.58 tff(10225,plain,
% 4.70/3.58 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s124, c_n2) | (~node8(s124))),
% 4.70/3.58 inference(modus_ponens,[status(thm)],[10224, 10223])).
% 4.70/3.58 tff(10226,plain,
% 4.70/3.58 (~node8(s124)),
% 4.70/3.58 inference(unit_resolution,[status(thm)],[10225, 271, 10222])).
% 4.70/3.58 tff(10227,plain,
% 4.70/3.58 (succ(s124, s125) <=> succ(s124, s125)),
% 4.70/3.58 inference(rewrite,[status(thm)],[])).
% 4.70/3.58 tff(10228,axiom,(succ(s124, s125)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound125')).
% 4.70/3.58 tff(10229,plain,
% 4.70/3.58 (succ(s124, s125)),
% 4.70/3.58 inference(modus_ponens,[status(thm)],[10228, 10227])).
% 4.70/3.58 tff(10230,plain,
% 4.70/3.58 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s124, s125)) | trans(s124, s125))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s124, s125)) | trans(s124, s125))),
% 4.70/3.58 inference(rewrite,[status(thm)],[])).
% 4.70/3.58 tff(10231,plain,
% 4.70/3.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s124, s125)) | trans(s124, s125))),
% 4.70/3.58 inference(quant_inst,[status(thm)],[])).
% 4.70/3.58 tff(10232,plain,
% 4.70/3.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s124, s125)) | trans(s124, s125)),
% 4.70/3.58 inference(modus_ponens,[status(thm)],[10231, 10230])).
% 4.70/3.58 tff(10233,plain,
% 4.70/3.58 (trans(s124, s125)),
% 4.70/3.58 inference(unit_resolution,[status(thm)],[10232, 10229, 32])).
% 4.70/3.58 tff(10234,plain,
% 4.70/3.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s124, s125)) | node14(s124, s125))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s124, s125)) | node14(s124, s125))),
% 4.70/3.58 inference(rewrite,[status(thm)],[])).
% 4.70/3.58 tff(10235,plain,
% 4.70/3.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s124, s125)) | node14(s124, s125))),
% 4.70/3.58 inference(quant_inst,[status(thm)],[])).
% 4.70/3.58 tff(10236,plain,
% 4.70/3.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s124, s125)) | node14(s124, s125)),
% 4.70/3.58 inference(modus_ponens,[status(thm)],[10235, 10234])).
% 4.70/3.58 tff(10237,plain,
% 4.70/3.58 (node14(s124, s125)),
% 4.70/3.58 inference(unit_resolution,[status(thm)],[10236, 46, 10233])).
% 4.70/3.58 tff(10238,plain,
% 4.70/3.58 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s125, c_n2) | node9(s124) | node8(s124) | node10(s124) | node11(s124) | node12(s124) | (~node14(s124, s125)) | (~m_main_v_state2(s124, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s125, c_n2) | node9(s124) | node8(s124) | node10(s124) | node11(s124) | node12(s124) | (~node14(s124, s125)) | (~m_main_v_state2(s124, c_c2)))),
% 4.70/3.58 inference(rewrite,[status(thm)],[])).
% 4.70/3.58 tff(10239,plain,
% 4.70/3.58 (((~m_main_v_state2(s124, c_c2)) | node9(s124) | node8(s124) | node10(s124) | node11(s124) | node12(s124) | (~node14(s124, s125)) | m_main_v_state2(s125, c_n2)) <=> (m_main_v_state2(s125, c_n2) | node9(s124) | node8(s124) | node10(s124) | node11(s124) | node12(s124) | (~node14(s124, s125)) | (~m_main_v_state2(s124, c_c2)))),
% 4.70/3.58 inference(rewrite,[status(thm)],[])).
% 4.70/3.58 tff(10240,plain,
% 4.70/3.58 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s124, c_c2)) | node9(s124) | node8(s124) | node10(s124) | node11(s124) | node12(s124) | (~node14(s124, s125)) | m_main_v_state2(s125, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s125, c_n2) | node9(s124) | node8(s124) | node10(s124) | node11(s124) | node12(s124) | (~node14(s124, s125)) | (~m_main_v_state2(s124, c_c2))))),
% 4.70/3.58 inference(monotonicity,[status(thm)],[10239])).
% 4.70/3.58 tff(10241,plain,
% 4.70/3.58 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s124, c_c2)) | node9(s124) | node8(s124) | node10(s124) | node11(s124) | node12(s124) | (~node14(s124, s125)) | m_main_v_state2(s125, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s125, c_n2) | node9(s124) | node8(s124) | node10(s124) | node11(s124) | node12(s124) | (~node14(s124, s125)) | (~m_main_v_state2(s124, c_c2)))),
% 4.70/3.58 inference(transitivity,[status(thm)],[10240, 10238])).
% 4.70/3.58 tff(10242,plain,
% 4.70/3.58 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s124, c_c2)) | node9(s124) | node8(s124) | node10(s124) | node11(s124) | node12(s124) | (~node14(s124, s125)) | m_main_v_state2(s125, c_n2))),
% 4.70/3.58 inference(quant_inst,[status(thm)],[])).
% 4.70/3.58 tff(10243,plain,
% 4.70/3.58 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s125, c_n2) | node9(s124) | node8(s124) | node10(s124) | node11(s124) | node12(s124) | (~node14(s124, s125)) | (~m_main_v_state2(s124, c_c2))),
% 4.70/3.58 inference(modus_ponens,[status(thm)],[10242, 10241])).
% 4.70/3.58 tff(10244,plain,
% 4.70/3.58 (m_main_v_state2(s125, c_n2) | node9(s124) | node8(s124) | node10(s124) | node11(s124) | node12(s124) | (~m_main_v_state2(s124, c_c2))),
% 4.70/3.58 inference(unit_resolution,[status(thm)],[10243, 726, 10237])).
% 4.70/3.58 tff(10245,plain,
% 4.70/3.58 (m_main_v_state2(s125, c_n2)),
% 4.70/3.58 inference(unit_resolution,[status(thm)],[10244, 10226, 10181, 10218, 10214, 10206, 10189])).
% 4.70/3.58 tff(10246,plain,
% 4.70/3.58 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s125, c_n2)) | (~m_main_v_state2(s125, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s125, c_n2)) | (~m_main_v_state2(s125, c_c2)))),
% 4.70/3.58 inference(rewrite,[status(thm)],[])).
% 4.70/3.58 tff(10247,plain,
% 4.70/3.58 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s125, c_n2)) | (~m_main_v_state2(s125, c_c2)))),
% 4.70/3.58 inference(quant_inst,[status(thm)],[])).
% 4.70/3.58 tff(10248,plain,
% 4.70/3.58 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s125, c_n2)) | (~m_main_v_state2(s125, c_c2))),
% 4.70/3.58 inference(modus_ponens,[status(thm)],[10247, 10246])).
% 4.70/3.58 tff(10249,plain,
% 4.70/3.58 (~m_main_v_state2(s125, c_c2)),
% 4.70/3.58 inference(unit_resolution,[status(thm)],[10248, 697, 10245])).
% 4.70/3.58 tff(10250,plain,
% 4.70/3.58 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s125, c_c2) | (~node3(s125)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s125, c_c2) | (~node3(s125)))),
% 4.70/3.58 inference(rewrite,[status(thm)],[])).
% 4.70/3.58 tff(10251,plain,
% 4.70/3.58 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s125, c_c2) | (~node3(s125)))),
% 4.70/3.58 inference(quant_inst,[status(thm)],[])).
% 4.70/3.58 tff(10252,plain,
% 4.70/3.58 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s125, c_c2) | (~node3(s125))),
% 4.70/3.58 inference(modus_ponens,[status(thm)],[10251, 10250])).
% 4.70/3.58 tff(10253,plain,
% 4.70/3.58 (~node3(s125)),
% 4.70/3.58 inference(unit_resolution,[status(thm)],[10252, 399, 10249])).
% 4.70/3.58 tff(10254,plain,
% 4.70/3.58 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s124, c_n1) | (~node1(s124)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s124, c_n1) | (~node1(s124)))),
% 4.70/3.58 inference(rewrite,[status(thm)],[])).
% 4.70/3.58 tff(10255,plain,
% 4.70/3.58 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s124, c_n1) | (~node1(s124)))),
% 4.70/3.58 inference(quant_inst,[status(thm)],[])).
% 4.70/3.58 tff(10256,plain,
% 4.70/3.58 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s124, c_n1) | (~node1(s124))),
% 4.70/3.58 inference(modus_ponens,[status(thm)],[10255, 10254])).
% 4.70/3.58 tff(10257,plain,
% 4.70/3.58 (~node1(s124)),
% 4.70/3.58 inference(unit_resolution,[status(thm)],[10256, 421, 10202])).
% 4.70/3.58 tff(10258,plain,
% 4.70/3.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s123, s124)) | node18(s123, s124))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s123, s124)) | node18(s123, s124))),
% 4.70/3.58 inference(rewrite,[status(thm)],[])).
% 4.70/3.58 tff(10259,plain,
% 4.70/3.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s123, s124)) | node18(s123, s124))),
% 4.70/3.58 inference(quant_inst,[status(thm)],[])).
% 4.70/3.58 tff(10260,plain,
% 4.70/3.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s123, s124)) | node18(s123, s124)),
% 4.70/3.58 inference(modus_ponens,[status(thm)],[10259, 10258])).
% 4.70/3.58 tff(10261,plain,
% 4.70/3.58 (node18(s123, s124)),
% 4.70/3.58 inference(unit_resolution,[status(thm)],[10260, 125, 10172])).
% 4.70/3.58 tff(10262,plain,
% 4.70/3.58 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s123, c_n1)) | (~m_main_v_state2(s123, c_t2)) | (~node18(s123, s124)) | m_main_v_turn(s124, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s123, c_n1)) | (~m_main_v_state2(s123, c_t2)) | (~node18(s123, s124)) | m_main_v_turn(s124, c_2))),
% 4.70/3.58 inference(rewrite,[status(thm)],[])).
% 4.70/3.58 tff(10263,plain,
% 4.70/3.58 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s123, c_n1)) | (~m_main_v_state2(s123, c_t2)) | (~node18(s123, s124)) | m_main_v_turn(s124, c_2))),
% 4.70/3.58 inference(quant_inst,[status(thm)],[])).
% 4.70/3.58 tff(10264,plain,
% 4.70/3.58 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s123, c_n1)) | (~m_main_v_state2(s123, c_t2)) | (~node18(s123, s124)) | m_main_v_turn(s124, c_2)),
% 4.70/3.58 inference(modus_ponens,[status(thm)],[10263, 10262])).
% 4.70/3.58 tff(10265,plain,
% 4.70/3.58 ((~m_main_v_state1(s123, c_n1)) | (~m_main_v_state2(s123, c_t2)) | m_main_v_turn(s124, c_2)),
% 4.70/3.58 inference(unit_resolution,[status(thm)],[10264, 760, 10261])).
% 4.70/3.58 tff(10266,plain,
% 4.70/3.58 (m_main_v_turn(s124, c_2)),
% 4.70/3.58 inference(unit_resolution,[status(thm)],[10265, 10125, 10161])).
% 4.70/3.58 tff(10267,plain,
% 4.70/3.58 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s124, c_1)) | (~m_main_v_turn(s124, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s124, c_1)) | (~m_main_v_turn(s124, c_2)))),
% 4.70/3.58 inference(rewrite,[status(thm)],[])).
% 4.70/3.58 tff(10268,plain,
% 4.70/3.58 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s124, c_1)) | (~m_main_v_turn(s124, c_2)))),
% 4.70/3.58 inference(quant_inst,[status(thm)],[])).
% 4.70/3.58 tff(10269,plain,
% 4.70/3.58 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s124, c_1)) | (~m_main_v_turn(s124, c_2))),
% 4.70/3.58 inference(modus_ponens,[status(thm)],[10268, 10267])).
% 4.70/3.58 tff(10270,plain,
% 4.70/3.58 (~m_main_v_turn(s124, c_1)),
% 4.70/3.58 inference(unit_resolution,[status(thm)],[10269, 156, 10266])).
% 4.70/3.58 tff(10271,plain,
% 4.70/3.58 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s124, c_1) | (~node5(s124)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s124, c_1) | (~node5(s124)))),
% 4.70/3.58 inference(rewrite,[status(thm)],[])).
% 4.70/3.58 tff(10272,plain,
% 4.70/3.58 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s124, c_1) | (~node5(s124)))),
% 4.70/3.58 inference(quant_inst,[status(thm)],[])).
% 4.70/3.58 tff(10273,plain,
% 4.70/3.58 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s124, c_1) | (~node5(s124))),
% 4.70/3.58 inference(modus_ponens,[status(thm)],[10272, 10271])).
% 4.70/3.58 tff(10274,plain,
% 4.70/3.58 (~node5(s124)),
% 4.70/3.58 inference(unit_resolution,[status(thm)],[10273, 776, 10270])).
% 4.70/3.58 tff(10275,plain,
% 4.70/3.58 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s124, c_n1) | (~node2(s124)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s124, c_n1) | (~node2(s124)))),
% 4.70/3.58 inference(rewrite,[status(thm)],[])).
% 4.70/3.58 tff(10276,plain,
% 4.70/3.58 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s124, c_n1) | (~node2(s124)))),
% 4.70/3.58 inference(quant_inst,[status(thm)],[])).
% 4.70/3.58 tff(10277,plain,
% 4.70/3.58 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s124, c_n1) | (~node2(s124))),
% 4.70/3.58 inference(modus_ponens,[status(thm)],[10276, 10275])).
% 4.70/3.58 tff(10278,plain,
% 4.70/3.58 (~node2(s124)),
% 4.70/3.58 inference(unit_resolution,[status(thm)],[10277, 787, 10202])).
% 4.70/3.58 tff(10279,plain,
% 4.70/3.58 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s124, c_n1) | (~node3(s124)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s124, c_n1) | (~node3(s124)))),
% 4.70/3.58 inference(rewrite,[status(thm)],[])).
% 4.70/3.58 tff(10280,plain,
% 4.70/3.58 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s124, c_n1) | (~node3(s124)))),
% 4.70/3.58 inference(quant_inst,[status(thm)],[])).
% 4.70/3.58 tff(10281,plain,
% 4.70/3.58 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s124, c_n1) | (~node3(s124))),
% 4.70/3.58 inference(modus_ponens,[status(thm)],[10280, 10279])).
% 4.70/3.58 tff(10282,plain,
% 4.70/3.58 (~node3(s124)),
% 4.70/3.58 inference(unit_resolution,[status(thm)],[10281, 798, 10202])).
% 4.70/3.58 tff(10283,plain,
% 4.70/3.58 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s124, c_n2) | (~node4(s124)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s124, c_n2) | (~node4(s124)))),
% 4.70/3.58 inference(rewrite,[status(thm)],[])).
% 4.70/3.58 tff(10284,plain,
% 4.70/3.58 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s124, c_n2) | (~node4(s124)))),
% 4.70/3.58 inference(quant_inst,[status(thm)],[])).
% 4.70/3.58 tff(10285,plain,
% 4.70/3.58 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s124, c_n2) | (~node4(s124))),
% 4.70/3.59 inference(modus_ponens,[status(thm)],[10284, 10283])).
% 4.70/3.59 tff(10286,plain,
% 4.70/3.59 (~node4(s124)),
% 4.70/3.59 inference(unit_resolution,[status(thm)],[10285, 388, 10222])).
% 4.70/3.59 tff(10287,plain,
% 4.70/3.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s124, s125)) | node7(s124, s125))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s124, s125)) | node7(s124, s125))),
% 4.70/3.59 inference(rewrite,[status(thm)],[])).
% 4.70/3.59 tff(10288,plain,
% 4.70/3.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s124, s125)) | node7(s124, s125))),
% 4.70/3.59 inference(quant_inst,[status(thm)],[])).
% 4.70/3.59 tff(10289,plain,
% 4.70/3.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s124, s125)) | node7(s124, s125)),
% 4.70/3.59 inference(modus_ponens,[status(thm)],[10288, 10287])).
% 4.70/3.59 tff(10290,plain,
% 4.70/3.59 (node7(s124, s125)),
% 4.70/3.59 inference(unit_resolution,[status(thm)],[10289, 206, 10233])).
% 4.70/3.59 tff(10291,plain,
% 4.70/3.59 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s124, c_c1) | node1(s124) | node2(s124) | node3(s124) | node4(s124) | node5(s124) | node6(s124, s125) | (~node7(s124, s125)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s124, c_c1) | node1(s124) | node2(s124) | node3(s124) | node4(s124) | node5(s124) | node6(s124, s125) | (~node7(s124, s125)))),
% 4.70/3.59 inference(rewrite,[status(thm)],[])).
% 4.70/3.59 tff(10292,plain,
% 4.70/3.59 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s124, c_c1) | node1(s124) | node2(s124) | node3(s124) | node4(s124) | node5(s124) | node6(s124, s125) | (~node7(s124, s125)))),
% 4.70/3.59 inference(quant_inst,[status(thm)],[])).
% 4.70/3.59 tff(10293,plain,
% 4.70/3.59 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s124, c_c1) | node1(s124) | node2(s124) | node3(s124) | node4(s124) | node5(s124) | node6(s124, s125) | (~node7(s124, s125))),
% 4.70/3.59 inference(modus_ponens,[status(thm)],[10292, 10291])).
% 4.70/3.59 tff(10294,plain,
% 4.70/3.59 (m_main_v_state1(s124, c_c1) | node1(s124) | node2(s124) | node3(s124) | node4(s124) | node5(s124) | node6(s124, s125)),
% 4.70/3.59 inference(unit_resolution,[status(thm)],[10293, 820, 10290])).
% 4.70/3.59 tff(10295,plain,
% 4.70/3.59 (node6(s124, s125)),
% 4.70/3.59 inference(unit_resolution,[status(thm)],[10294, 10286, 10210, 10282, 10278, 10274, 10257])).
% 4.70/3.59 tff(10296,plain,
% 4.70/3.59 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s124, c_n1) | (~m_main_v_state1(s125, c_n1)) | (~node6(s124, s125)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s124, c_n1) | (~m_main_v_state1(s125, c_n1)) | (~node6(s124, s125)))),
% 4.70/3.59 inference(rewrite,[status(thm)],[])).
% 4.70/3.59 tff(10297,plain,
% 4.70/3.59 (((~node6(s124, s125)) | m_main_v_state1(s124, c_n1) | (~m_main_v_state1(s125, c_n1))) <=> (m_main_v_state1(s124, c_n1) | (~m_main_v_state1(s125, c_n1)) | (~node6(s124, s125)))),
% 4.70/3.59 inference(rewrite,[status(thm)],[])).
% 4.70/3.59 tff(10298,plain,
% 4.70/3.59 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s124, s125)) | m_main_v_state1(s124, c_n1) | (~m_main_v_state1(s125, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s124, c_n1) | (~m_main_v_state1(s125, c_n1)) | (~node6(s124, s125))))),
% 4.70/3.59 inference(monotonicity,[status(thm)],[10297])).
% 4.70/3.59 tff(10299,plain,
% 4.70/3.59 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s124, s125)) | m_main_v_state1(s124, c_n1) | (~m_main_v_state1(s125, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s124, c_n1) | (~m_main_v_state1(s125, c_n1)) | (~node6(s124, s125)))),
% 4.70/3.59 inference(transitivity,[status(thm)],[10298, 10296])).
% 4.70/3.59 tff(10300,plain,
% 4.70/3.59 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s124, s125)) | m_main_v_state1(s124, c_n1) | (~m_main_v_state1(s125, c_n1)))),
% 4.70/3.59 inference(quant_inst,[status(thm)],[])).
% 4.70/3.59 tff(10301,plain,
% 4.70/3.59 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s124, c_n1) | (~m_main_v_state1(s125, c_n1)) | (~node6(s124, s125))),
% 4.70/3.59 inference(modus_ponens,[status(thm)],[10300, 10299])).
% 4.70/3.59 tff(10302,plain,
% 4.70/3.59 (~m_main_v_state1(s125, c_n1)),
% 4.70/3.59 inference(unit_resolution,[status(thm)],[10301, 835, 10202, 10295])).
% 4.70/3.59 tff(10303,plain,
% 4.70/3.59 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s125, c_n1) | (~node2(s125)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s125, c_n1) | (~node2(s125)))),
% 4.70/3.59 inference(rewrite,[status(thm)],[])).
% 4.70/3.59 tff(10304,plain,
% 4.70/3.59 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s125, c_n1) | (~node2(s125)))),
% 4.70/3.59 inference(quant_inst,[status(thm)],[])).
% 4.70/3.59 tff(10305,plain,
% 4.70/3.59 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s125, c_n1) | (~node2(s125))),
% 4.70/3.59 inference(modus_ponens,[status(thm)],[10304, 10303])).
% 4.70/3.59 tff(10306,plain,
% 4.70/3.59 (~node2(s125)),
% 4.70/3.59 inference(unit_resolution,[status(thm)],[10305, 787, 10302])).
% 4.70/3.59 tff(10307,plain,
% 4.70/3.59 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s124, c_t1)) | m_main_v_state1(s125, c_t1) | (~node6(s124, s125)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s124, c_t1)) | m_main_v_state1(s125, c_t1) | (~node6(s124, s125)))),
% 4.70/3.59 inference(rewrite,[status(thm)],[])).
% 4.70/3.59 tff(10308,plain,
% 4.70/3.59 (((~node6(s124, s125)) | (~m_main_v_state1(s124, c_t1)) | m_main_v_state1(s125, c_t1)) <=> ((~m_main_v_state1(s124, c_t1)) | m_main_v_state1(s125, c_t1) | (~node6(s124, s125)))),
% 4.70/3.59 inference(rewrite,[status(thm)],[])).
% 4.70/3.59 tff(10309,plain,
% 4.70/3.59 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s124, s125)) | (~m_main_v_state1(s124, c_t1)) | m_main_v_state1(s125, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s124, c_t1)) | m_main_v_state1(s125, c_t1) | (~node6(s124, s125))))),
% 4.70/3.59 inference(monotonicity,[status(thm)],[10308])).
% 4.70/3.59 tff(10310,plain,
% 4.70/3.59 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s124, s125)) | (~m_main_v_state1(s124, c_t1)) | m_main_v_state1(s125, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s124, c_t1)) | m_main_v_state1(s125, c_t1) | (~node6(s124, s125)))),
% 4.70/3.59 inference(transitivity,[status(thm)],[10309, 10307])).
% 4.70/3.59 tff(10311,plain,
% 4.70/3.59 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s124, s125)) | (~m_main_v_state1(s124, c_t1)) | m_main_v_state1(s125, c_t1))),
% 4.70/3.59 inference(quant_inst,[status(thm)],[])).
% 4.70/3.59 tff(10312,plain,
% 4.70/3.59 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s124, c_t1)) | m_main_v_state1(s125, c_t1) | (~node6(s124, s125))),
% 4.70/3.59 inference(modus_ponens,[status(thm)],[10311, 10310])).
% 4.70/3.59 tff(10313,plain,
% 4.70/3.59 (m_main_v_state1(s125, c_t1)),
% 4.70/3.59 inference(unit_resolution,[status(thm)],[10312, 856, 10198, 10295])).
% 4.70/3.59 tff(10314,plain,
% 4.70/3.59 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s125, c_n2)) | (~m_main_v_state2(s125, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s125, c_n2)) | (~m_main_v_state2(s125, c_t2)))),
% 4.70/3.59 inference(rewrite,[status(thm)],[])).
% 4.70/3.59 tff(10315,plain,
% 4.70/3.59 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s125, c_n2)) | (~m_main_v_state2(s125, c_t2)))),
% 4.70/3.59 inference(quant_inst,[status(thm)],[])).
% 4.70/3.59 tff(10316,plain,
% 4.70/3.59 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s125, c_n2)) | (~m_main_v_state2(s125, c_t2))),
% 4.70/3.59 inference(modus_ponens,[status(thm)],[10315, 10314])).
% 4.70/3.59 tff(10317,plain,
% 4.70/3.59 (~m_main_v_state2(s125, c_t2)),
% 4.70/3.59 inference(unit_resolution,[status(thm)],[10316, 77, 10245])).
% 4.70/3.59 tff(10318,plain,
% 4.70/3.59 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s125, c_t2) | (~node1(s125)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s125, c_t2) | (~node1(s125)))),
% 4.70/3.59 inference(rewrite,[status(thm)],[])).
% 4.70/3.59 tff(10319,plain,
% 4.70/3.59 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s125, c_t2) | (~node1(s125)))),
% 4.70/3.59 inference(quant_inst,[status(thm)],[])).
% 4.70/3.59 tff(10320,plain,
% 4.70/3.59 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s125, c_t2) | (~node1(s125))),
% 4.70/3.59 inference(modus_ponens,[status(thm)],[10319, 10318])).
% 4.70/3.59 tff(10321,plain,
% 4.70/3.59 (~node1(s125)),
% 4.70/3.59 inference(unit_resolution,[status(thm)],[10320, 195, 10317])).
% 4.70/3.59 tff(10322,plain,
% 4.70/3.59 (succ(s125, s126) <=> succ(s125, s126)),
% 4.70/3.59 inference(rewrite,[status(thm)],[])).
% 4.70/3.59 tff(10323,axiom,(succ(s125, s126)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound126')).
% 4.70/3.59 tff(10324,plain,
% 4.70/3.59 (succ(s125, s126)),
% 4.70/3.59 inference(modus_ponens,[status(thm)],[10323, 10322])).
% 4.70/3.59 tff(10325,plain,
% 4.70/3.59 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s125, s126)) | trans(s125, s126))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s125, s126)) | trans(s125, s126))),
% 4.70/3.59 inference(rewrite,[status(thm)],[])).
% 4.70/3.59 tff(10326,plain,
% 4.70/3.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s125, s126)) | trans(s125, s126))),
% 4.70/3.59 inference(quant_inst,[status(thm)],[])).
% 4.70/3.59 tff(10327,plain,
% 4.70/3.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s125, s126)) | trans(s125, s126)),
% 4.70/3.59 inference(modus_ponens,[status(thm)],[10326, 10325])).
% 4.70/3.59 tff(10328,plain,
% 4.70/3.59 (trans(s125, s126)),
% 4.70/3.59 inference(unit_resolution,[status(thm)],[10327, 10324, 32])).
% 4.70/3.59 tff(10329,plain,
% 4.70/3.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s125, s126)) | node7(s125, s126))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s125, s126)) | node7(s125, s126))),
% 4.70/3.59 inference(rewrite,[status(thm)],[])).
% 4.70/3.59 tff(10330,plain,
% 4.70/3.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s125, s126)) | node7(s125, s126))),
% 4.70/3.59 inference(quant_inst,[status(thm)],[])).
% 4.70/3.59 tff(10331,plain,
% 4.70/3.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s125, s126)) | node7(s125, s126)),
% 4.70/3.59 inference(modus_ponens,[status(thm)],[10330, 10329])).
% 4.70/3.59 tff(10332,plain,
% 4.70/3.59 (node7(s125, s126)),
% 4.70/3.59 inference(unit_resolution,[status(thm)],[10331, 206, 10328])).
% 4.70/3.59 tff(10333,plain,
% 4.70/3.59 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s125, c_t1)) | (~m_main_v_state2(s125, c_n2)) | m_main_v_state1(s126, c_c1) | node1(s125) | node2(s125) | node3(s125) | (~node7(s125, s126)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s125, c_t1)) | (~m_main_v_state2(s125, c_n2)) | m_main_v_state1(s126, c_c1) | node1(s125) | node2(s125) | node3(s125) | (~node7(s125, s126)))),
% 4.70/3.59 inference(rewrite,[status(thm)],[])).
% 4.70/3.59 tff(10334,plain,
% 4.70/3.59 (((~m_main_v_state1(s125, c_t1)) | (~m_main_v_state2(s125, c_n2)) | node1(s125) | node2(s125) | node3(s125) | (~node7(s125, s126)) | m_main_v_state1(s126, c_c1)) <=> ((~m_main_v_state1(s125, c_t1)) | (~m_main_v_state2(s125, c_n2)) | m_main_v_state1(s126, c_c1) | node1(s125) | node2(s125) | node3(s125) | (~node7(s125, s126)))),
% 4.70/3.59 inference(rewrite,[status(thm)],[])).
% 4.70/3.59 tff(10335,plain,
% 4.70/3.59 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s125, c_t1)) | (~m_main_v_state2(s125, c_n2)) | node1(s125) | node2(s125) | node3(s125) | (~node7(s125, s126)) | m_main_v_state1(s126, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s125, c_t1)) | (~m_main_v_state2(s125, c_n2)) | m_main_v_state1(s126, c_c1) | node1(s125) | node2(s125) | node3(s125) | (~node7(s125, s126))))),
% 4.70/3.59 inference(monotonicity,[status(thm)],[10334])).
% 4.70/3.59 tff(10336,plain,
% 4.70/3.59 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s125, c_t1)) | (~m_main_v_state2(s125, c_n2)) | node1(s125) | node2(s125) | node3(s125) | (~node7(s125, s126)) | m_main_v_state1(s126, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s125, c_t1)) | (~m_main_v_state2(s125, c_n2)) | m_main_v_state1(s126, c_c1) | node1(s125) | node2(s125) | node3(s125) | (~node7(s125, s126)))),
% 4.70/3.59 inference(transitivity,[status(thm)],[10335, 10333])).
% 4.70/3.59 tff(10337,plain,
% 4.70/3.59 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s125, c_t1)) | (~m_main_v_state2(s125, c_n2)) | node1(s125) | node2(s125) | node3(s125) | (~node7(s125, s126)) | m_main_v_state1(s126, c_c1))),
% 4.70/3.59 inference(quant_inst,[status(thm)],[])).
% 4.70/3.59 tff(10338,plain,
% 4.70/3.59 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s125, c_t1)) | (~m_main_v_state2(s125, c_n2)) | m_main_v_state1(s126, c_c1) | node1(s125) | node2(s125) | node3(s125) | (~node7(s125, s126))),
% 4.70/3.59 inference(modus_ponens,[status(thm)],[10337, 10336])).
% 4.70/3.59 tff(10339,plain,
% 4.70/3.59 ((~m_main_v_state1(s125, c_t1)) | (~m_main_v_state2(s125, c_n2)) | m_main_v_state1(s126, c_c1) | node1(s125) | node2(s125) | node3(s125)),
% 4.70/3.59 inference(unit_resolution,[status(thm)],[10338, 892, 10332])).
% 4.70/3.59 tff(10340,plain,
% 4.70/3.59 (m_main_v_state1(s126, c_c1)),
% 4.70/3.59 inference(unit_resolution,[status(thm)],[10339, 10321, 10245, 10313, 10306, 10253])).
% 4.70/3.59 tff(10341,plain,
% 4.70/3.59 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s126, c_t1)) | (~m_main_v_state1(s126, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s126, c_t1)) | (~m_main_v_state1(s126, c_c1)))),
% 4.70/3.59 inference(rewrite,[status(thm)],[])).
% 4.70/3.59 tff(10342,plain,
% 4.70/3.59 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s126, c_t1)) | (~m_main_v_state1(s126, c_c1)))),
% 4.70/3.59 inference(quant_inst,[status(thm)],[])).
% 4.70/3.59 tff(10343,plain,
% 4.70/3.59 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s126, c_t1)) | (~m_main_v_state1(s126, c_c1))),
% 4.70/3.59 inference(modus_ponens,[status(thm)],[10342, 10341])).
% 4.70/3.59 tff(10344,plain,
% 4.70/3.59 (~m_main_v_state1(s126, c_t1)),
% 4.70/3.59 inference(unit_resolution,[status(thm)],[10343, 539, 10340])).
% 4.70/3.59 tff(10345,plain,
% 4.70/3.59 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s126, c_t1) | (~node5(s126)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s126, c_t1) | (~node5(s126)))),
% 4.70/3.59 inference(rewrite,[status(thm)],[])).
% 4.70/3.59 tff(10346,plain,
% 4.70/3.59 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s126, c_t1) | (~node5(s126)))),
% 4.70/3.59 inference(quant_inst,[status(thm)],[])).
% 4.70/3.59 tff(10347,plain,
% 4.70/3.59 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s126, c_t1) | (~node5(s126))),
% 4.70/3.59 inference(modus_ponens,[status(thm)],[10346, 10345])).
% 4.70/3.59 tff(10348,plain,
% 4.70/3.59 (~node5(s126)),
% 4.70/3.59 inference(unit_resolution,[status(thm)],[10347, 550, 10344])).
% 4.70/3.59 tff(10349,plain,
% 4.70/3.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s125, s126)) | node14(s125, s126))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s125, s126)) | node14(s125, s126))),
% 4.70/3.59 inference(rewrite,[status(thm)],[])).
% 4.70/3.59 tff(10350,plain,
% 4.70/3.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s125, s126)) | node14(s125, s126))),
% 4.70/3.59 inference(quant_inst,[status(thm)],[])).
% 4.70/3.59 tff(10351,plain,
% 4.70/3.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s125, s126)) | node14(s125, s126)),
% 4.70/3.59 inference(modus_ponens,[status(thm)],[10350, 10349])).
% 4.70/3.59 tff(10352,plain,
% 4.70/3.59 (node14(s125, s126)),
% 4.70/3.59 inference(unit_resolution,[status(thm)],[10351, 46, 10328])).
% 4.70/3.59 tff(10353,plain,
% 4.70/3.59 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s125, c_t1)) | (~m_main_v_state2(s125, c_n2)) | (~node14(s125, s126)) | m_main_v_state2(s126, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s125, c_t1)) | (~m_main_v_state2(s125, c_n2)) | (~node14(s125, s126)) | m_main_v_state2(s126, c_t2))),
% 4.70/3.59 inference(rewrite,[status(thm)],[])).
% 4.70/3.59 tff(10354,plain,
% 4.70/3.59 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s125, c_t1)) | (~m_main_v_state2(s125, c_n2)) | (~node14(s125, s126)) | m_main_v_state2(s126, c_t2))),
% 4.70/3.59 inference(quant_inst,[status(thm)],[])).
% 4.70/3.59 tff(10355,plain,
% 4.70/3.59 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s125, c_t1)) | (~m_main_v_state2(s125, c_n2)) | (~node14(s125, s126)) | m_main_v_state2(s126, c_t2)),
% 4.70/3.59 inference(modus_ponens,[status(thm)],[10354, 10353])).
% 4.70/3.59 tff(10356,plain,
% 4.70/3.59 ((~m_main_v_state1(s125, c_t1)) | (~m_main_v_state2(s125, c_n2)) | m_main_v_state2(s126, c_t2)),
% 4.70/3.59 inference(unit_resolution,[status(thm)],[10355, 922, 10352])).
% 4.70/3.59 tff(10357,plain,
% 4.70/3.59 (m_main_v_state2(s126, c_t2)),
% 4.70/3.59 inference(unit_resolution,[status(thm)],[10356, 10313, 10245])).
% 4.70/3.59 tff(10358,plain,
% 4.70/3.59 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s126, c_n2)) | (~m_main_v_state2(s126, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s126, c_n2)) | (~m_main_v_state2(s126, c_t2)))),
% 4.70/3.59 inference(rewrite,[status(thm)],[])).
% 4.70/3.59 tff(10359,plain,
% 4.70/3.59 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s126, c_n2)) | (~m_main_v_state2(s126, c_t2)))),
% 4.70/3.59 inference(quant_inst,[status(thm)],[])).
% 4.70/3.59 tff(10360,plain,
% 4.70/3.59 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s126, c_n2)) | (~m_main_v_state2(s126, c_t2))),
% 4.70/3.59 inference(modus_ponens,[status(thm)],[10359, 10358])).
% 4.70/3.59 tff(10361,plain,
% 4.70/3.59 (~m_main_v_state2(s126, c_n2)),
% 4.70/3.59 inference(unit_resolution,[status(thm)],[10360, 77, 10357])).
% 4.70/3.59 tff(10362,plain,
% 4.70/3.59 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s126, c_n2) | (~node4(s126)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s126, c_n2) | (~node4(s126)))),
% 4.70/3.59 inference(rewrite,[status(thm)],[])).
% 4.70/3.59 tff(10363,plain,
% 4.70/3.59 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s126, c_n2) | (~node4(s126)))),
% 4.70/3.59 inference(quant_inst,[status(thm)],[])).
% 4.70/3.59 tff(10364,plain,
% 4.70/3.59 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s126, c_n2) | (~node4(s126))),
% 4.70/3.59 inference(modus_ponens,[status(thm)],[10363, 10362])).
% 4.70/3.59 tff(10365,plain,
% 4.70/3.59 (~node4(s126)),
% 4.70/3.59 inference(unit_resolution,[status(thm)],[10364, 388, 10361])).
% 4.70/3.59 tff(10366,plain,
% 4.70/3.59 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s126, c_t2)) | (~m_main_v_state2(s126, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s126, c_t2)) | (~m_main_v_state2(s126, c_c2)))),
% 4.70/3.59 inference(rewrite,[status(thm)],[])).
% 4.70/3.59 tff(10367,plain,
% 4.70/3.59 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s126, c_t2)) | (~m_main_v_state2(s126, c_c2)))),
% 4.70/3.59 inference(quant_inst,[status(thm)],[])).
% 4.70/3.59 tff(10368,plain,
% 4.70/3.59 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s126, c_t2)) | (~m_main_v_state2(s126, c_c2))),
% 4.70/3.59 inference(modus_ponens,[status(thm)],[10367, 10366])).
% 4.70/3.59 tff(10369,plain,
% 4.70/3.59 (~m_main_v_state2(s126, c_c2)),
% 4.70/3.59 inference(unit_resolution,[status(thm)],[10368, 260, 10357])).
% 4.70/3.59 tff(10370,plain,
% 4.70/3.59 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s126, c_c2) | (~node3(s126)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s126, c_c2) | (~node3(s126)))),
% 4.70/3.59 inference(rewrite,[status(thm)],[])).
% 4.70/3.59 tff(10371,plain,
% 4.70/3.59 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s126, c_c2) | (~node3(s126)))),
% 4.70/3.59 inference(quant_inst,[status(thm)],[])).
% 4.70/3.59 tff(10372,plain,
% 4.70/3.59 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s126, c_c2) | (~node3(s126))),
% 4.70/3.59 inference(modus_ponens,[status(thm)],[10371, 10370])).
% 4.70/3.59 tff(10373,plain,
% 4.70/3.59 (~node3(s126)),
% 4.70/3.59 inference(unit_resolution,[status(thm)],[10372, 399, 10369])).
% 4.70/3.59 tff(10374,plain,
% 4.70/3.59 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s126, c_n2) | (~node2(s126)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s126, c_n2) | (~node2(s126)))),
% 4.70/3.59 inference(rewrite,[status(thm)],[])).
% 4.70/3.59 tff(10375,plain,
% 4.70/3.59 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s126, c_n2) | (~node2(s126)))),
% 4.70/3.59 inference(quant_inst,[status(thm)],[])).
% 4.70/3.59 tff(10376,plain,
% 4.70/3.59 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s126, c_n2) | (~node2(s126))),
% 4.70/3.59 inference(modus_ponens,[status(thm)],[10375, 10374])).
% 4.70/3.59 tff(10377,plain,
% 4.70/3.59 (~node2(s126)),
% 4.70/3.59 inference(unit_resolution,[status(thm)],[10376, 410, 10361])).
% 4.70/3.59 tff(10378,plain,
% 4.70/3.59 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s126, c_n1)) | (~m_main_v_state1(s126, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s126, c_n1)) | (~m_main_v_state1(s126, c_c1)))),
% 4.70/3.59 inference(rewrite,[status(thm)],[])).
% 4.70/3.59 tff(10379,plain,
% 4.70/3.59 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s126, c_n1)) | (~m_main_v_state1(s126, c_c1)))),
% 4.70/3.59 inference(quant_inst,[status(thm)],[])).
% 4.70/3.59 tff(10380,plain,
% 4.70/3.59 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s126, c_n1)) | (~m_main_v_state1(s126, c_c1))),
% 4.70/3.59 inference(modus_ponens,[status(thm)],[10379, 10378])).
% 4.70/3.59 tff(10381,plain,
% 4.70/3.59 (~m_main_v_state1(s126, c_n1)),
% 4.70/3.59 inference(unit_resolution,[status(thm)],[10380, 454, 10340])).
% 4.70/3.59 tff(10382,plain,
% 4.70/3.59 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s126, c_n1) | (~node1(s126)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s126, c_n1) | (~node1(s126)))),
% 4.70/3.59 inference(rewrite,[status(thm)],[])).
% 4.70/3.59 tff(10383,plain,
% 4.70/3.59 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s126, c_n1) | (~node1(s126)))),
% 4.70/3.59 inference(quant_inst,[status(thm)],[])).
% 4.70/3.59 tff(10384,plain,
% 4.70/3.59 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s126, c_n1) | (~node1(s126))),
% 4.70/3.59 inference(modus_ponens,[status(thm)],[10383, 10382])).
% 4.70/3.59 tff(10385,plain,
% 4.70/3.59 (~node1(s126)),
% 4.70/3.59 inference(unit_resolution,[status(thm)],[10384, 421, 10381])).
% 4.70/3.59 tff(10386,plain,
% 4.70/3.59 (succ(s126, s127) <=> succ(s126, s127)),
% 4.70/3.59 inference(rewrite,[status(thm)],[])).
% 4.70/3.59 tff(10387,axiom,(succ(s126, s127)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound127')).
% 4.70/3.59 tff(10388,plain,
% 4.70/3.59 (succ(s126, s127)),
% 4.70/3.59 inference(modus_ponens,[status(thm)],[10387, 10386])).
% 4.70/3.59 tff(10389,plain,
% 4.70/3.59 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s126, s127)) | trans(s126, s127))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s126, s127)) | trans(s126, s127))),
% 4.70/3.59 inference(rewrite,[status(thm)],[])).
% 4.70/3.59 tff(10390,plain,
% 4.70/3.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s126, s127)) | trans(s126, s127))),
% 4.70/3.59 inference(quant_inst,[status(thm)],[])).
% 4.70/3.59 tff(10391,plain,
% 4.70/3.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s126, s127)) | trans(s126, s127)),
% 4.70/3.59 inference(modus_ponens,[status(thm)],[10390, 10389])).
% 4.70/3.59 tff(10392,plain,
% 4.70/3.59 (trans(s126, s127)),
% 4.70/3.59 inference(unit_resolution,[status(thm)],[10391, 10388, 32])).
% 4.70/3.59 tff(10393,plain,
% 4.70/3.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s126, s127)) | node7(s126, s127))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s126, s127)) | node7(s126, s127))),
% 4.70/3.59 inference(rewrite,[status(thm)],[])).
% 4.70/3.59 tff(10394,plain,
% 4.70/3.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s126, s127)) | node7(s126, s127))),
% 4.70/3.59 inference(quant_inst,[status(thm)],[])).
% 4.70/3.59 tff(10395,plain,
% 4.70/3.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s126, s127)) | node7(s126, s127)),
% 4.70/3.59 inference(modus_ponens,[status(thm)],[10394, 10393])).
% 4.70/3.59 tff(10396,plain,
% 4.70/3.59 (node7(s126, s127)),
% 4.70/3.59 inference(unit_resolution,[status(thm)],[10395, 206, 10392])).
% 4.70/3.59 tff(10397,plain,
% 4.70/3.59 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s127, c_n1) | (~m_main_v_state1(s126, c_c1)) | node1(s126) | node2(s126) | node3(s126) | node4(s126) | node5(s126) | (~node7(s126, s127)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s127, c_n1) | (~m_main_v_state1(s126, c_c1)) | node1(s126) | node2(s126) | node3(s126) | node4(s126) | node5(s126) | (~node7(s126, s127)))),
% 4.70/3.59 inference(rewrite,[status(thm)],[])).
% 4.70/3.59 tff(10398,plain,
% 4.70/3.59 (((~m_main_v_state1(s126, c_c1)) | node1(s126) | node2(s126) | node3(s126) | node4(s126) | node5(s126) | (~node7(s126, s127)) | m_main_v_state1(s127, c_n1)) <=> (m_main_v_state1(s127, c_n1) | (~m_main_v_state1(s126, c_c1)) | node1(s126) | node2(s126) | node3(s126) | node4(s126) | node5(s126) | (~node7(s126, s127)))),
% 4.70/3.59 inference(rewrite,[status(thm)],[])).
% 4.70/3.59 tff(10399,plain,
% 4.70/3.59 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s126, c_c1)) | node1(s126) | node2(s126) | node3(s126) | node4(s126) | node5(s126) | (~node7(s126, s127)) | m_main_v_state1(s127, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s127, c_n1) | (~m_main_v_state1(s126, c_c1)) | node1(s126) | node2(s126) | node3(s126) | node4(s126) | node5(s126) | (~node7(s126, s127))))),
% 4.70/3.59 inference(monotonicity,[status(thm)],[10398])).
% 4.70/3.59 tff(10400,plain,
% 4.70/3.59 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s126, c_c1)) | node1(s126) | node2(s126) | node3(s126) | node4(s126) | node5(s126) | (~node7(s126, s127)) | m_main_v_state1(s127, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s127, c_n1) | (~m_main_v_state1(s126, c_c1)) | node1(s126) | node2(s126) | node3(s126) | node4(s126) | node5(s126) | (~node7(s126, s127)))),
% 4.70/3.59 inference(transitivity,[status(thm)],[10399, 10397])).
% 4.70/3.60 tff(10401,plain,
% 4.70/3.60 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s126, c_c1)) | node1(s126) | node2(s126) | node3(s126) | node4(s126) | node5(s126) | (~node7(s126, s127)) | m_main_v_state1(s127, c_n1))),
% 4.70/3.60 inference(quant_inst,[status(thm)],[])).
% 4.70/3.60 tff(10402,plain,
% 4.70/3.60 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s127, c_n1) | (~m_main_v_state1(s126, c_c1)) | node1(s126) | node2(s126) | node3(s126) | node4(s126) | node5(s126) | (~node7(s126, s127))),
% 4.70/3.60 inference(modus_ponens,[status(thm)],[10401, 10400])).
% 4.70/3.60 tff(10403,plain,
% 4.70/3.60 (m_main_v_state1(s127, c_n1) | (~m_main_v_state1(s126, c_c1)) | node1(s126) | node2(s126) | node3(s126) | node4(s126) | node5(s126)),
% 4.70/3.60 inference(unit_resolution,[status(thm)],[10402, 584, 10396])).
% 4.70/3.60 tff(10404,plain,
% 4.70/3.60 (m_main_v_state1(s127, c_n1)),
% 4.70/3.60 inference(unit_resolution,[status(thm)],[10403, 10385, 10340, 10377, 10373, 10365, 10348])).
% 4.70/3.60 tff(10405,plain,
% 4.70/3.60 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s125, c_t2) | (~node15(s125)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s125, c_t2) | (~node15(s125)))),
% 4.70/3.60 inference(rewrite,[status(thm)],[])).
% 4.70/3.60 tff(10406,plain,
% 4.70/3.60 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s125, c_t2) | (~node15(s125)))),
% 4.70/3.60 inference(quant_inst,[status(thm)],[])).
% 4.70/3.60 tff(10407,plain,
% 4.70/3.60 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s125, c_t2) | (~node15(s125))),
% 4.70/3.60 inference(modus_ponens,[status(thm)],[10406, 10405])).
% 4.70/3.60 tff(10408,plain,
% 4.70/3.60 (~node15(s125)),
% 4.70/3.60 inference(unit_resolution,[status(thm)],[10407, 103, 10317])).
% 4.70/3.60 tff(10409,plain,
% 4.70/3.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s125, s126)) | node18(s125, s126))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s125, s126)) | node18(s125, s126))),
% 4.70/3.60 inference(rewrite,[status(thm)],[])).
% 4.70/3.60 tff(10410,plain,
% 4.70/3.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s125, s126)) | node18(s125, s126))),
% 4.70/3.60 inference(quant_inst,[status(thm)],[])).
% 4.70/3.60 tff(10411,plain,
% 4.70/3.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s125, s126)) | node18(s125, s126)),
% 4.70/3.60 inference(modus_ponens,[status(thm)],[10410, 10409])).
% 4.70/3.60 tff(10412,plain,
% 4.70/3.60 (node18(s125, s126)),
% 4.70/3.60 inference(unit_resolution,[status(thm)],[10411, 125, 10328])).
% 4.70/3.60 tff(10413,plain,
% 4.70/3.60 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s125) | (~node18(s125, s126)) | (~m_main_v_state1(s125, c_t1)) | (~m_main_v_state2(s125, c_n2)) | m_main_v_turn(s126, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s125) | (~node18(s125, s126)) | (~m_main_v_state1(s125, c_t1)) | (~m_main_v_state2(s125, c_n2)) | m_main_v_turn(s126, c_1))),
% 4.70/3.60 inference(rewrite,[status(thm)],[])).
% 4.70/3.60 tff(10414,plain,
% 4.70/3.60 (((~m_main_v_state1(s125, c_t1)) | (~m_main_v_state2(s125, c_n2)) | node15(s125) | (~node18(s125, s126)) | m_main_v_turn(s126, c_1)) <=> (node15(s125) | (~node18(s125, s126)) | (~m_main_v_state1(s125, c_t1)) | (~m_main_v_state2(s125, c_n2)) | m_main_v_turn(s126, c_1))),
% 4.70/3.60 inference(rewrite,[status(thm)],[])).
% 4.70/3.60 tff(10415,plain,
% 4.70/3.60 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s125, c_t1)) | (~m_main_v_state2(s125, c_n2)) | node15(s125) | (~node18(s125, s126)) | m_main_v_turn(s126, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s125) | (~node18(s125, s126)) | (~m_main_v_state1(s125, c_t1)) | (~m_main_v_state2(s125, c_n2)) | m_main_v_turn(s126, c_1)))),
% 4.70/3.60 inference(monotonicity,[status(thm)],[10414])).
% 4.70/3.60 tff(10416,plain,
% 4.70/3.60 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s125, c_t1)) | (~m_main_v_state2(s125, c_n2)) | node15(s125) | (~node18(s125, s126)) | m_main_v_turn(s126, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s125) | (~node18(s125, s126)) | (~m_main_v_state1(s125, c_t1)) | (~m_main_v_state2(s125, c_n2)) | m_main_v_turn(s126, c_1))),
% 4.70/3.60 inference(transitivity,[status(thm)],[10415, 10413])).
% 4.70/3.60 tff(10417,plain,
% 4.70/3.60 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s125, c_t1)) | (~m_main_v_state2(s125, c_n2)) | node15(s125) | (~node18(s125, s126)) | m_main_v_turn(s126, c_1))),
% 4.70/3.60 inference(quant_inst,[status(thm)],[])).
% 4.70/3.60 tff(10418,plain,
% 4.70/3.60 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s125) | (~node18(s125, s126)) | (~m_main_v_state1(s125, c_t1)) | (~m_main_v_state2(s125, c_n2)) | m_main_v_turn(s126, c_1)),
% 4.70/3.60 inference(modus_ponens,[status(thm)],[10417, 10416])).
% 4.70/3.60 tff(10419,plain,
% 4.70/3.60 (node15(s125) | (~m_main_v_state1(s125, c_t1)) | (~m_main_v_state2(s125, c_n2)) | m_main_v_turn(s126, c_1)),
% 4.70/3.60 inference(unit_resolution,[status(thm)],[10418, 992, 10412])).
% 4.70/3.60 tff(10420,plain,
% 4.70/3.60 (m_main_v_turn(s126, c_1)),
% 4.70/3.60 inference(unit_resolution,[status(thm)],[10419, 10408, 10245, 10313])).
% 4.70/3.60 tff(10421,plain,
% 4.70/3.60 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s126, c_1)) | (~m_main_v_turn(s126, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s126, c_1)) | (~m_main_v_turn(s126, c_2)))),
% 4.70/3.60 inference(rewrite,[status(thm)],[])).
% 4.70/3.60 tff(10422,plain,
% 4.70/3.60 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s126, c_1)) | (~m_main_v_turn(s126, c_2)))),
% 4.70/3.60 inference(quant_inst,[status(thm)],[])).
% 4.70/3.60 tff(10423,plain,
% 4.70/3.60 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s126, c_1)) | (~m_main_v_turn(s126, c_2))),
% 4.70/3.60 inference(modus_ponens,[status(thm)],[10422, 10421])).
% 4.70/3.60 tff(10424,plain,
% 4.70/3.60 (~m_main_v_turn(s126, c_2)),
% 4.70/3.60 inference(unit_resolution,[status(thm)],[10423, 156, 10420])).
% 4.70/3.60 tff(10425,plain,
% 4.70/3.60 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s126, c_2) | (~node12(s126)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s126, c_2) | (~node12(s126)))),
% 4.70/3.60 inference(rewrite,[status(thm)],[])).
% 4.70/3.60 tff(10426,plain,
% 4.70/3.60 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s126, c_2) | (~node12(s126)))),
% 4.70/3.60 inference(quant_inst,[status(thm)],[])).
% 4.70/3.60 tff(10427,plain,
% 4.70/3.60 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s126, c_2) | (~node12(s126))),
% 4.70/3.60 inference(modus_ponens,[status(thm)],[10426, 10425])).
% 4.70/3.60 tff(10428,plain,
% 4.70/3.60 (~node12(s126)),
% 4.70/3.60 inference(unit_resolution,[status(thm)],[10427, 184, 10424])).
% 4.70/3.60 tff(10429,plain,
% 4.70/3.60 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s126, c_n2) | (~node8(s126)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s126, c_n2) | (~node8(s126)))),
% 4.70/3.60 inference(rewrite,[status(thm)],[])).
% 4.70/3.60 tff(10430,plain,
% 4.70/3.60 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s126, c_n2) | (~node8(s126)))),
% 4.70/3.60 inference(quant_inst,[status(thm)],[])).
% 4.70/3.60 tff(10431,plain,
% 4.70/3.60 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s126, c_n2) | (~node8(s126))),
% 4.70/3.60 inference(modus_ponens,[status(thm)],[10430, 10429])).
% 4.70/3.60 tff(10432,plain,
% 4.70/3.60 (~node8(s126)),
% 4.70/3.60 inference(unit_resolution,[status(thm)],[10431, 271, 10361])).
% 4.70/3.60 tff(10433,plain,
% 4.70/3.60 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s126, c_n2) | (~node9(s126)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s126, c_n2) | (~node9(s126)))),
% 4.70/3.60 inference(rewrite,[status(thm)],[])).
% 4.70/3.60 tff(10434,plain,
% 4.70/3.60 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s126, c_n2) | (~node9(s126)))),
% 4.70/3.60 inference(quant_inst,[status(thm)],[])).
% 4.70/3.60 tff(10435,plain,
% 4.70/3.60 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s126, c_n2) | (~node9(s126))),
% 4.70/3.60 inference(modus_ponens,[status(thm)],[10434, 10433])).
% 4.70/3.60 tff(10436,plain,
% 4.70/3.60 (~node9(s126)),
% 4.70/3.60 inference(unit_resolution,[status(thm)],[10435, 88, 10361])).
% 4.70/3.60 tff(10437,plain,
% 4.70/3.60 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s126, c_n2) | (~node10(s126)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s126, c_n2) | (~node10(s126)))),
% 4.70/3.60 inference(rewrite,[status(thm)],[])).
% 4.70/3.60 tff(10438,plain,
% 4.70/3.60 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s126, c_n2) | (~node10(s126)))),
% 4.70/3.60 inference(quant_inst,[status(thm)],[])).
% 4.70/3.60 tff(10439,plain,
% 4.70/3.60 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s126, c_n2) | (~node10(s126))),
% 4.70/3.60 inference(modus_ponens,[status(thm)],[10438, 10437])).
% 4.70/3.60 tff(10440,plain,
% 4.70/3.60 (~node10(s126)),
% 4.70/3.60 inference(unit_resolution,[status(thm)],[10439, 249, 10361])).
% 4.70/3.60 tff(10441,plain,
% 4.70/3.60 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s126, c_n1) | (~node11(s126)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s126, c_n1) | (~node11(s126)))),
% 4.70/3.60 inference(rewrite,[status(thm)],[])).
% 4.70/3.60 tff(10442,plain,
% 4.70/3.60 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s126, c_n1) | (~node11(s126)))),
% 4.70/3.60 inference(quant_inst,[status(thm)],[])).
% 4.70/3.60 tff(10443,plain,
% 4.70/3.60 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s126, c_n1) | (~node11(s126))),
% 4.70/3.60 inference(modus_ponens,[status(thm)],[10442, 10441])).
% 4.70/3.60 tff(10444,plain,
% 4.70/3.60 (~node11(s126)),
% 4.70/3.60 inference(unit_resolution,[status(thm)],[10443, 238, 10381])).
% 4.70/3.60 tff(10445,plain,
% 4.70/3.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s126, s127)) | node14(s126, s127))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s126, s127)) | node14(s126, s127))),
% 4.70/3.60 inference(rewrite,[status(thm)],[])).
% 4.70/3.60 tff(10446,plain,
% 4.70/3.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s126, s127)) | node14(s126, s127))),
% 4.70/3.60 inference(quant_inst,[status(thm)],[])).
% 4.70/3.60 tff(10447,plain,
% 4.70/3.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s126, s127)) | node14(s126, s127)),
% 4.70/3.60 inference(modus_ponens,[status(thm)],[10446, 10445])).
% 4.70/3.60 tff(10448,plain,
% 4.70/3.60 (node14(s126, s127)),
% 4.70/3.60 inference(unit_resolution,[status(thm)],[10447, 46, 10392])).
% 4.70/3.60 tff(10449,plain,
% 4.70/3.60 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s126, c_c2) | node9(s126) | node8(s126) | node10(s126) | node11(s126) | node12(s126) | node13(s126, s127) | (~node14(s126, s127)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s126, c_c2) | node9(s126) | node8(s126) | node10(s126) | node11(s126) | node12(s126) | node13(s126, s127) | (~node14(s126, s127)))),
% 4.70/3.60 inference(rewrite,[status(thm)],[])).
% 4.70/3.60 tff(10450,plain,
% 4.70/3.60 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s126, c_c2) | node9(s126) | node8(s126) | node10(s126) | node11(s126) | node12(s126) | node13(s126, s127) | (~node14(s126, s127)))),
% 4.70/3.60 inference(quant_inst,[status(thm)],[])).
% 4.70/3.60 tff(10451,plain,
% 4.70/3.60 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s126, c_c2) | node9(s126) | node8(s126) | node10(s126) | node11(s126) | node12(s126) | node13(s126, s127) | (~node14(s126, s127))),
% 4.70/3.60 inference(modus_ponens,[status(thm)],[10450, 10449])).
% 4.70/3.60 tff(10452,plain,
% 4.70/3.60 (m_main_v_state2(s126, c_c2) | node9(s126) | node8(s126) | node10(s126) | node11(s126) | node12(s126) | node13(s126, s127)),
% 4.70/3.60 inference(unit_resolution,[status(thm)],[10451, 296, 10448])).
% 4.70/3.60 tff(10453,plain,
% 4.70/3.60 (node13(s126, s127)),
% 4.70/3.60 inference(unit_resolution,[status(thm)],[10452, 10444, 10369, 10440, 10436, 10432, 10428])).
% 4.70/3.60 tff(10454,plain,
% 4.70/3.60 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s126, c_t2)) | m_main_v_state2(s127, c_t2) | (~node13(s126, s127)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s126, c_t2)) | m_main_v_state2(s127, c_t2) | (~node13(s126, s127)))),
% 4.70/3.60 inference(rewrite,[status(thm)],[])).
% 4.70/3.60 tff(10455,plain,
% 4.70/3.60 (((~node13(s126, s127)) | (~m_main_v_state2(s126, c_t2)) | m_main_v_state2(s127, c_t2)) <=> ((~m_main_v_state2(s126, c_t2)) | m_main_v_state2(s127, c_t2) | (~node13(s126, s127)))),
% 4.70/3.60 inference(rewrite,[status(thm)],[])).
% 4.70/3.60 tff(10456,plain,
% 4.70/3.60 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s126, s127)) | (~m_main_v_state2(s126, c_t2)) | m_main_v_state2(s127, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s126, c_t2)) | m_main_v_state2(s127, c_t2) | (~node13(s126, s127))))),
% 4.70/3.60 inference(monotonicity,[status(thm)],[10455])).
% 4.70/3.60 tff(10457,plain,
% 4.70/3.60 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s126, s127)) | (~m_main_v_state2(s126, c_t2)) | m_main_v_state2(s127, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s126, c_t2)) | m_main_v_state2(s127, c_t2) | (~node13(s126, s127)))),
% 4.70/3.60 inference(transitivity,[status(thm)],[10456, 10454])).
% 4.70/3.60 tff(10458,plain,
% 4.70/3.60 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s126, s127)) | (~m_main_v_state2(s126, c_t2)) | m_main_v_state2(s127, c_t2))),
% 4.70/3.60 inference(quant_inst,[status(thm)],[])).
% 4.70/3.60 tff(10459,plain,
% 4.70/3.60 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s126, c_t2)) | m_main_v_state2(s127, c_t2) | (~node13(s126, s127))),
% 4.70/3.60 inference(modus_ponens,[status(thm)],[10458, 10457])).
% 4.70/3.60 tff(10460,plain,
% 4.70/3.60 (m_main_v_state2(s127, c_t2)),
% 4.70/3.60 inference(unit_resolution,[status(thm)],[10459, 518, 10357, 10453])).
% 4.70/3.60 tff(10461,plain,
% 4.70/3.60 (succ(s127, s128) <=> succ(s127, s128)),
% 4.70/3.60 inference(rewrite,[status(thm)],[])).
% 4.70/3.60 tff(10462,axiom,(succ(s127, s128)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound128')).
% 4.70/3.60 tff(10463,plain,
% 4.70/3.60 (succ(s127, s128)),
% 4.70/3.60 inference(modus_ponens,[status(thm)],[10462, 10461])).
% 4.70/3.60 tff(10464,plain,
% 4.70/3.60 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s127, s128)) | trans(s127, s128))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s127, s128)) | trans(s127, s128))),
% 4.70/3.60 inference(rewrite,[status(thm)],[])).
% 4.70/3.60 tff(10465,plain,
% 4.70/3.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s127, s128)) | trans(s127, s128))),
% 4.70/3.60 inference(quant_inst,[status(thm)],[])).
% 4.70/3.60 tff(10466,plain,
% 4.70/3.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s127, s128)) | trans(s127, s128)),
% 4.70/3.60 inference(modus_ponens,[status(thm)],[10465, 10464])).
% 4.70/3.60 tff(10467,plain,
% 4.70/3.60 (trans(s127, s128)),
% 4.70/3.60 inference(unit_resolution,[status(thm)],[10466, 10463, 32])).
% 4.70/3.60 tff(10468,plain,
% 4.70/3.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s127, s128)) | node7(s127, s128))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s127, s128)) | node7(s127, s128))),
% 4.70/3.60 inference(rewrite,[status(thm)],[])).
% 4.70/3.60 tff(10469,plain,
% 4.70/3.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s127, s128)) | node7(s127, s128))),
% 4.70/3.60 inference(quant_inst,[status(thm)],[])).
% 4.70/3.60 tff(10470,plain,
% 4.70/3.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s127, s128)) | node7(s127, s128)),
% 4.70/3.60 inference(modus_ponens,[status(thm)],[10469, 10468])).
% 4.70/3.60 tff(10471,plain,
% 4.70/3.60 (node7(s127, s128)),
% 4.70/3.60 inference(unit_resolution,[status(thm)],[10470, 206, 10467])).
% 4.70/3.60 tff(10472,plain,
% 4.70/3.60 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s127, c_n1)) | (~m_main_v_state2(s127, c_t2)) | (~node7(s127, s128)) | m_main_v_state1(s128, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s127, c_n1)) | (~m_main_v_state2(s127, c_t2)) | (~node7(s127, s128)) | m_main_v_state1(s128, c_t1))),
% 4.70/3.60 inference(rewrite,[status(thm)],[])).
% 4.70/3.60 tff(10473,plain,
% 4.70/3.60 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s127, c_n1)) | (~m_main_v_state2(s127, c_t2)) | (~node7(s127, s128)) | m_main_v_state1(s128, c_t1))),
% 4.70/3.60 inference(quant_inst,[status(thm)],[])).
% 4.70/3.60 tff(10474,plain,
% 4.70/3.60 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s127, c_n1)) | (~m_main_v_state2(s127, c_t2)) | (~node7(s127, s128)) | m_main_v_state1(s128, c_t1)),
% 4.70/3.60 inference(modus_ponens,[status(thm)],[10473, 10472])).
% 4.70/3.60 tff(10475,plain,
% 4.70/3.60 ((~m_main_v_state1(s127, c_n1)) | (~m_main_v_state2(s127, c_t2)) | m_main_v_state1(s128, c_t1)),
% 4.70/3.60 inference(unit_resolution,[status(thm)],[10474, 651, 10471])).
% 4.70/3.60 tff(10476,plain,
% 4.70/3.60 (m_main_v_state1(s128, c_t1)),
% 4.70/3.60 inference(unit_resolution,[status(thm)],[10475, 10460, 10404])).
% 4.70/3.60 tff(10477,plain,
% 4.70/3.60 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s128, c_n1)) | (~m_main_v_state1(s128, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s128, c_n1)) | (~m_main_v_state1(s128, c_t1)))),
% 4.70/3.60 inference(rewrite,[status(thm)],[])).
% 4.70/3.60 tff(10478,plain,
% 4.70/3.60 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s128, c_n1)) | (~m_main_v_state1(s128, c_t1)))),
% 4.70/3.60 inference(quant_inst,[status(thm)],[])).
% 4.70/3.60 tff(10479,plain,
% 4.70/3.60 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s128, c_n1)) | (~m_main_v_state1(s128, c_t1))),
% 4.70/3.60 inference(modus_ponens,[status(thm)],[10478, 10477])).
% 4.70/3.60 tff(10480,plain,
% 4.70/3.60 (~m_main_v_state1(s128, c_n1)),
% 4.70/3.60 inference(unit_resolution,[status(thm)],[10479, 10, 10476])).
% 4.70/3.60 tff(10481,plain,
% 4.70/3.60 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s128, c_n1) | (~node1(s128)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s128, c_n1) | (~node1(s128)))),
% 4.70/3.60 inference(rewrite,[status(thm)],[])).
% 4.70/3.60 tff(10482,plain,
% 4.70/3.60 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s128, c_n1) | (~node1(s128)))),
% 4.70/3.60 inference(quant_inst,[status(thm)],[])).
% 4.70/3.60 tff(10483,plain,
% 4.70/3.60 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s128, c_n1) | (~node1(s128))),
% 4.70/3.60 inference(modus_ponens,[status(thm)],[10482, 10481])).
% 4.70/3.60 tff(10484,plain,
% 4.70/3.60 (~node1(s128)),
% 4.70/3.60 inference(unit_resolution,[status(thm)],[10483, 421, 10480])).
% 4.70/3.60 tff(10485,plain,
% 4.70/3.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s127, s128)) | node18(s127, s128))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s127, s128)) | node18(s127, s128))),
% 4.70/3.60 inference(rewrite,[status(thm)],[])).
% 4.70/3.60 tff(10486,plain,
% 4.70/3.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s127, s128)) | node18(s127, s128))),
% 4.70/3.60 inference(quant_inst,[status(thm)],[])).
% 4.70/3.60 tff(10487,plain,
% 4.70/3.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s127, s128)) | node18(s127, s128)),
% 4.70/3.60 inference(modus_ponens,[status(thm)],[10486, 10485])).
% 4.70/3.60 tff(10488,plain,
% 4.70/3.60 (node18(s127, s128)),
% 4.70/3.60 inference(unit_resolution,[status(thm)],[10487, 125, 10467])).
% 4.70/3.60 tff(10489,plain,
% 4.70/3.60 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s127, c_n1)) | (~m_main_v_state2(s127, c_t2)) | (~node18(s127, s128)) | m_main_v_turn(s128, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s127, c_n1)) | (~m_main_v_state2(s127, c_t2)) | (~node18(s127, s128)) | m_main_v_turn(s128, c_2))),
% 4.70/3.60 inference(rewrite,[status(thm)],[])).
% 4.70/3.60 tff(10490,plain,
% 4.70/3.60 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s127, c_n1)) | (~m_main_v_state2(s127, c_t2)) | (~node18(s127, s128)) | m_main_v_turn(s128, c_2))),
% 4.70/3.60 inference(quant_inst,[status(thm)],[])).
% 4.70/3.60 tff(10491,plain,
% 4.70/3.60 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s127, c_n1)) | (~m_main_v_state2(s127, c_t2)) | (~node18(s127, s128)) | m_main_v_turn(s128, c_2)),
% 4.70/3.60 inference(modus_ponens,[status(thm)],[10490, 10489])).
% 4.70/3.60 tff(10492,plain,
% 4.70/3.60 ((~m_main_v_state1(s127, c_n1)) | (~m_main_v_state2(s127, c_t2)) | m_main_v_turn(s128, c_2)),
% 4.70/3.60 inference(unit_resolution,[status(thm)],[10491, 760, 10488])).
% 4.70/3.60 tff(10493,plain,
% 4.70/3.60 (m_main_v_turn(s128, c_2)),
% 4.70/3.60 inference(unit_resolution,[status(thm)],[10492, 10460, 10404])).
% 4.70/3.60 tff(10494,plain,
% 4.70/3.60 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s128, c_1)) | (~m_main_v_turn(s128, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s128, c_1)) | (~m_main_v_turn(s128, c_2)))),
% 4.70/3.60 inference(rewrite,[status(thm)],[])).
% 4.70/3.60 tff(10495,plain,
% 4.70/3.60 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s128, c_1)) | (~m_main_v_turn(s128, c_2)))),
% 4.70/3.60 inference(quant_inst,[status(thm)],[])).
% 4.70/3.60 tff(10496,plain,
% 4.70/3.60 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s128, c_1)) | (~m_main_v_turn(s128, c_2))),
% 4.70/3.60 inference(modus_ponens,[status(thm)],[10495, 10494])).
% 4.70/3.60 tff(10497,plain,
% 4.70/3.60 (~m_main_v_turn(s128, c_1)),
% 4.70/3.60 inference(unit_resolution,[status(thm)],[10496, 156, 10493])).
% 4.70/3.60 tff(10498,plain,
% 4.70/3.60 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s128, c_1) | (~node5(s128)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s128, c_1) | (~node5(s128)))),
% 4.70/3.60 inference(rewrite,[status(thm)],[])).
% 4.70/3.60 tff(10499,plain,
% 4.70/3.60 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s128, c_1) | (~node5(s128)))),
% 4.70/3.60 inference(quant_inst,[status(thm)],[])).
% 4.70/3.60 tff(10500,plain,
% 4.70/3.60 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s128, c_1) | (~node5(s128))),
% 4.70/3.60 inference(modus_ponens,[status(thm)],[10499, 10498])).
% 4.70/3.60 tff(10501,plain,
% 4.70/3.60 (~node5(s128)),
% 4.70/3.60 inference(unit_resolution,[status(thm)],[10500, 776, 10497])).
% 4.70/3.60 tff(10502,plain,
% 4.70/3.60 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s128, c_n1) | (~node2(s128)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s128, c_n1) | (~node2(s128)))),
% 4.70/3.60 inference(rewrite,[status(thm)],[])).
% 4.70/3.60 tff(10503,plain,
% 4.70/3.60 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s128, c_n1) | (~node2(s128)))),
% 4.70/3.60 inference(quant_inst,[status(thm)],[])).
% 4.70/3.60 tff(10504,plain,
% 4.70/3.60 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s128, c_n1) | (~node2(s128))),
% 4.70/3.60 inference(modus_ponens,[status(thm)],[10503, 10502])).
% 4.70/3.60 tff(10505,plain,
% 4.70/3.60 (~node2(s128)),
% 4.70/3.60 inference(unit_resolution,[status(thm)],[10504, 787, 10480])).
% 4.70/3.61 tff(10506,plain,
% 4.70/3.61 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s128, c_n1) | (~node3(s128)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s128, c_n1) | (~node3(s128)))),
% 4.70/3.61 inference(rewrite,[status(thm)],[])).
% 4.70/3.61 tff(10507,plain,
% 4.70/3.61 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s128, c_n1) | (~node3(s128)))),
% 4.70/3.61 inference(quant_inst,[status(thm)],[])).
% 4.70/3.61 tff(10508,plain,
% 4.70/3.61 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s128, c_n1) | (~node3(s128))),
% 4.70/3.61 inference(modus_ponens,[status(thm)],[10507, 10506])).
% 4.70/3.61 tff(10509,plain,
% 4.70/3.61 (~node3(s128)),
% 4.70/3.61 inference(unit_resolution,[status(thm)],[10508, 798, 10480])).
% 4.70/3.61 tff(10510,plain,
% 4.70/3.61 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s128, c_t1)) | (~m_main_v_state1(s128, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s128, c_t1)) | (~m_main_v_state1(s128, c_c1)))),
% 4.70/3.61 inference(rewrite,[status(thm)],[])).
% 4.70/3.61 tff(10511,plain,
% 4.70/3.61 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s128, c_t1)) | (~m_main_v_state1(s128, c_c1)))),
% 4.70/3.61 inference(quant_inst,[status(thm)],[])).
% 4.70/3.61 tff(10512,plain,
% 4.70/3.61 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s128, c_t1)) | (~m_main_v_state1(s128, c_c1))),
% 4.70/3.61 inference(modus_ponens,[status(thm)],[10511, 10510])).
% 4.70/3.61 tff(10513,plain,
% 4.70/3.61 (~m_main_v_state1(s128, c_c1)),
% 4.70/3.61 inference(unit_resolution,[status(thm)],[10512, 539, 10476])).
% 4.70/3.61 tff(10514,plain,
% 4.70/3.61 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s126, c_n2) | (~m_main_v_state2(s127, c_n2)) | (~node13(s126, s127)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s126, c_n2) | (~m_main_v_state2(s127, c_n2)) | (~node13(s126, s127)))),
% 4.70/3.61 inference(rewrite,[status(thm)],[])).
% 4.70/3.61 tff(10515,plain,
% 4.70/3.61 (((~node13(s126, s127)) | m_main_v_state2(s126, c_n2) | (~m_main_v_state2(s127, c_n2))) <=> (m_main_v_state2(s126, c_n2) | (~m_main_v_state2(s127, c_n2)) | (~node13(s126, s127)))),
% 4.70/3.61 inference(rewrite,[status(thm)],[])).
% 4.70/3.61 tff(10516,plain,
% 4.70/3.61 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s126, s127)) | m_main_v_state2(s126, c_n2) | (~m_main_v_state2(s127, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s126, c_n2) | (~m_main_v_state2(s127, c_n2)) | (~node13(s126, s127))))),
% 4.70/3.61 inference(monotonicity,[status(thm)],[10515])).
% 4.70/3.61 tff(10517,plain,
% 4.70/3.61 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s126, s127)) | m_main_v_state2(s126, c_n2) | (~m_main_v_state2(s127, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s126, c_n2) | (~m_main_v_state2(s127, c_n2)) | (~node13(s126, s127)))),
% 4.70/3.61 inference(transitivity,[status(thm)],[10516, 10514])).
% 4.70/3.61 tff(10518,plain,
% 4.70/3.61 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s126, s127)) | m_main_v_state2(s126, c_n2) | (~m_main_v_state2(s127, c_n2)))),
% 4.70/3.61 inference(quant_inst,[status(thm)],[])).
% 4.70/3.61 tff(10519,plain,
% 4.70/3.61 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s126, c_n2) | (~m_main_v_state2(s127, c_n2)) | (~node13(s126, s127))),
% 4.70/3.61 inference(modus_ponens,[status(thm)],[10518, 10517])).
% 4.70/3.61 tff(10520,plain,
% 4.70/3.61 (~m_main_v_state2(s127, c_n2)),
% 4.70/3.61 inference(unit_resolution,[status(thm)],[10519, 311, 10361, 10453])).
% 4.70/3.61 tff(10521,plain,
% 4.70/3.61 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s127, c_n2) | (~node9(s127)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s127, c_n2) | (~node9(s127)))),
% 4.70/3.61 inference(rewrite,[status(thm)],[])).
% 4.70/3.61 tff(10522,plain,
% 4.70/3.61 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s127, c_n2) | (~node9(s127)))),
% 4.70/3.61 inference(quant_inst,[status(thm)],[])).
% 4.70/3.61 tff(10523,plain,
% 4.70/3.61 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s127, c_n2) | (~node9(s127))),
% 4.70/3.61 inference(modus_ponens,[status(thm)],[10522, 10521])).
% 4.70/3.61 tff(10524,plain,
% 4.70/3.61 (~node9(s127)),
% 4.70/3.61 inference(unit_resolution,[status(thm)],[10523, 88, 10520])).
% 4.70/3.61 tff(10525,plain,
% 4.70/3.61 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s127, c_n2) | (~node10(s127)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s127, c_n2) | (~node10(s127)))),
% 4.70/3.61 inference(rewrite,[status(thm)],[])).
% 4.70/3.61 tff(10526,plain,
% 4.70/3.61 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s127, c_n2) | (~node10(s127)))),
% 4.70/3.61 inference(quant_inst,[status(thm)],[])).
% 4.70/3.61 tff(10527,plain,
% 4.70/3.61 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s127, c_n2) | (~node10(s127))),
% 4.70/3.61 inference(modus_ponens,[status(thm)],[10526, 10525])).
% 4.70/3.61 tff(10528,plain,
% 4.70/3.61 (~node10(s127)),
% 4.70/3.61 inference(unit_resolution,[status(thm)],[10527, 249, 10520])).
% 4.70/3.61 tff(10529,plain,
% 4.70/3.61 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s127, c_n2) | (~node8(s127)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s127, c_n2) | (~node8(s127)))),
% 4.70/3.61 inference(rewrite,[status(thm)],[])).
% 4.70/3.61 tff(10530,plain,
% 4.70/3.61 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s127, c_n2) | (~node8(s127)))),
% 4.70/3.61 inference(quant_inst,[status(thm)],[])).
% 4.70/3.61 tff(10531,plain,
% 4.70/3.61 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s127, c_n2) | (~node8(s127))),
% 4.70/3.61 inference(modus_ponens,[status(thm)],[10530, 10529])).
% 4.70/3.61 tff(10532,plain,
% 4.70/3.61 (~node8(s127)),
% 4.70/3.61 inference(unit_resolution,[status(thm)],[10531, 271, 10520])).
% 4.70/3.61 tff(10533,plain,
% 4.70/3.61 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s127, s128)) | node14(s127, s128))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s127, s128)) | node14(s127, s128))),
% 4.70/3.61 inference(rewrite,[status(thm)],[])).
% 4.70/3.61 tff(10534,plain,
% 4.70/3.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s127, s128)) | node14(s127, s128))),
% 4.70/3.61 inference(quant_inst,[status(thm)],[])).
% 4.70/3.61 tff(10535,plain,
% 4.70/3.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s127, s128)) | node14(s127, s128)),
% 4.70/3.61 inference(modus_ponens,[status(thm)],[10534, 10533])).
% 4.70/3.61 tff(10536,plain,
% 4.70/3.61 (node14(s127, s128)),
% 4.70/3.61 inference(unit_resolution,[status(thm)],[10535, 46, 10467])).
% 4.70/3.61 tff(10537,plain,
% 4.70/3.61 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s127, c_n1)) | (~m_main_v_state2(s127, c_t2)) | node9(s127) | node8(s127) | node10(s127) | (~node14(s127, s128)) | m_main_v_state2(s128, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s127, c_n1)) | (~m_main_v_state2(s127, c_t2)) | node9(s127) | node8(s127) | node10(s127) | (~node14(s127, s128)) | m_main_v_state2(s128, c_c2))),
% 4.70/3.61 inference(rewrite,[status(thm)],[])).
% 4.70/3.61 tff(10538,plain,
% 4.70/3.61 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s127, c_n1)) | (~m_main_v_state2(s127, c_t2)) | node9(s127) | node8(s127) | node10(s127) | (~node14(s127, s128)) | m_main_v_state2(s128, c_c2))),
% 4.70/3.61 inference(quant_inst,[status(thm)],[])).
% 4.70/3.61 tff(10539,plain,
% 4.70/3.61 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s127, c_n1)) | (~m_main_v_state2(s127, c_t2)) | node9(s127) | node8(s127) | node10(s127) | (~node14(s127, s128)) | m_main_v_state2(s128, c_c2)),
% 4.70/3.61 inference(modus_ponens,[status(thm)],[10538, 10537])).
% 4.70/3.61 tff(10540,plain,
% 4.70/3.61 ((~m_main_v_state1(s127, c_n1)) | (~m_main_v_state2(s127, c_t2)) | node9(s127) | node8(s127) | node10(s127) | m_main_v_state2(s128, c_c2)),
% 4.70/3.61 inference(unit_resolution,[status(thm)],[10539, 617, 10536])).
% 4.70/3.61 tff(10541,plain,
% 4.70/3.61 (m_main_v_state2(s128, c_c2)),
% 4.70/3.61 inference(unit_resolution,[status(thm)],[10540, 10532, 10404, 10460, 10528, 10524])).
% 4.70/3.61 tff(10542,plain,
% 4.70/3.61 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s128, c_n2)) | (~m_main_v_state2(s128, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s128, c_n2)) | (~m_main_v_state2(s128, c_c2)))),
% 4.70/3.61 inference(rewrite,[status(thm)],[])).
% 4.70/3.61 tff(10543,plain,
% 4.70/3.61 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s128, c_n2)) | (~m_main_v_state2(s128, c_c2)))),
% 4.70/3.61 inference(quant_inst,[status(thm)],[])).
% 4.70/3.61 tff(10544,plain,
% 4.70/3.61 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s128, c_n2)) | (~m_main_v_state2(s128, c_c2))),
% 4.70/3.61 inference(modus_ponens,[status(thm)],[10543, 10542])).
% 4.70/3.61 tff(10545,plain,
% 4.70/3.61 (~m_main_v_state2(s128, c_n2)),
% 4.70/3.61 inference(unit_resolution,[status(thm)],[10544, 697, 10541])).
% 4.70/3.61 tff(10546,plain,
% 4.70/3.61 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s128, c_n2) | (~node4(s128)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s128, c_n2) | (~node4(s128)))),
% 4.70/3.61 inference(rewrite,[status(thm)],[])).
% 4.70/3.61 tff(10547,plain,
% 4.70/3.61 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s128, c_n2) | (~node4(s128)))),
% 4.70/3.61 inference(quant_inst,[status(thm)],[])).
% 4.70/3.61 tff(10548,plain,
% 4.70/3.61 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s128, c_n2) | (~node4(s128))),
% 4.70/3.61 inference(modus_ponens,[status(thm)],[10547, 10546])).
% 4.70/3.61 tff(10549,plain,
% 4.70/3.61 (~node4(s128)),
% 4.70/3.61 inference(unit_resolution,[status(thm)],[10548, 388, 10545])).
% 4.70/3.61 tff(10550,plain,
% 4.70/3.61 (succ(s128, s129) <=> succ(s128, s129)),
% 4.70/3.61 inference(rewrite,[status(thm)],[])).
% 4.70/3.61 tff(10551,axiom,(succ(s128, s129)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound129')).
% 4.70/3.61 tff(10552,plain,
% 4.70/3.61 (succ(s128, s129)),
% 4.70/3.61 inference(modus_ponens,[status(thm)],[10551, 10550])).
% 4.70/3.61 tff(10553,plain,
% 4.70/3.61 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s128, s129)) | trans(s128, s129))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s128, s129)) | trans(s128, s129))),
% 4.70/3.61 inference(rewrite,[status(thm)],[])).
% 4.70/3.61 tff(10554,plain,
% 4.70/3.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s128, s129)) | trans(s128, s129))),
% 4.70/3.61 inference(quant_inst,[status(thm)],[])).
% 4.70/3.61 tff(10555,plain,
% 4.70/3.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s128, s129)) | trans(s128, s129)),
% 4.70/3.61 inference(modus_ponens,[status(thm)],[10554, 10553])).
% 4.70/3.61 tff(10556,plain,
% 4.70/3.61 (trans(s128, s129)),
% 4.70/3.61 inference(unit_resolution,[status(thm)],[10555, 10552, 32])).
% 4.70/3.61 tff(10557,plain,
% 4.70/3.61 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s128, s129)) | node7(s128, s129))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s128, s129)) | node7(s128, s129))),
% 4.70/3.61 inference(rewrite,[status(thm)],[])).
% 4.70/3.61 tff(10558,plain,
% 4.70/3.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s128, s129)) | node7(s128, s129))),
% 4.70/3.61 inference(quant_inst,[status(thm)],[])).
% 4.70/3.61 tff(10559,plain,
% 4.70/3.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s128, s129)) | node7(s128, s129)),
% 4.70/3.61 inference(modus_ponens,[status(thm)],[10558, 10557])).
% 4.70/3.61 tff(10560,plain,
% 4.70/3.61 (node7(s128, s129)),
% 4.70/3.61 inference(unit_resolution,[status(thm)],[10559, 206, 10556])).
% 4.70/3.61 tff(10561,plain,
% 4.70/3.61 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s128, c_c1) | node1(s128) | node2(s128) | node3(s128) | node4(s128) | node5(s128) | node6(s128, s129) | (~node7(s128, s129)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s128, c_c1) | node1(s128) | node2(s128) | node3(s128) | node4(s128) | node5(s128) | node6(s128, s129) | (~node7(s128, s129)))),
% 4.70/3.61 inference(rewrite,[status(thm)],[])).
% 4.70/3.61 tff(10562,plain,
% 4.70/3.61 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s128, c_c1) | node1(s128) | node2(s128) | node3(s128) | node4(s128) | node5(s128) | node6(s128, s129) | (~node7(s128, s129)))),
% 4.70/3.61 inference(quant_inst,[status(thm)],[])).
% 4.70/3.61 tff(10563,plain,
% 4.70/3.61 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s128, c_c1) | node1(s128) | node2(s128) | node3(s128) | node4(s128) | node5(s128) | node6(s128, s129) | (~node7(s128, s129))),
% 4.70/3.61 inference(modus_ponens,[status(thm)],[10562, 10561])).
% 4.70/3.61 tff(10564,plain,
% 4.70/3.61 (m_main_v_state1(s128, c_c1) | node1(s128) | node2(s128) | node3(s128) | node4(s128) | node5(s128) | node6(s128, s129)),
% 4.70/3.61 inference(unit_resolution,[status(thm)],[10563, 820, 10560])).
% 4.70/3.61 tff(10565,plain,
% 4.70/3.61 (node6(s128, s129)),
% 4.70/3.61 inference(unit_resolution,[status(thm)],[10564, 10549, 10513, 10509, 10505, 10501, 10484])).
% 4.70/3.61 tff(10566,plain,
% 4.70/3.61 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s128, c_t1)) | m_main_v_state1(s129, c_t1) | (~node6(s128, s129)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s128, c_t1)) | m_main_v_state1(s129, c_t1) | (~node6(s128, s129)))),
% 4.70/3.61 inference(rewrite,[status(thm)],[])).
% 4.70/3.61 tff(10567,plain,
% 4.70/3.61 (((~node6(s128, s129)) | (~m_main_v_state1(s128, c_t1)) | m_main_v_state1(s129, c_t1)) <=> ((~m_main_v_state1(s128, c_t1)) | m_main_v_state1(s129, c_t1) | (~node6(s128, s129)))),
% 4.70/3.61 inference(rewrite,[status(thm)],[])).
% 4.70/3.61 tff(10568,plain,
% 4.70/3.61 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s128, s129)) | (~m_main_v_state1(s128, c_t1)) | m_main_v_state1(s129, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s128, c_t1)) | m_main_v_state1(s129, c_t1) | (~node6(s128, s129))))),
% 4.70/3.61 inference(monotonicity,[status(thm)],[10567])).
% 4.70/3.61 tff(10569,plain,
% 4.70/3.61 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s128, s129)) | (~m_main_v_state1(s128, c_t1)) | m_main_v_state1(s129, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s128, c_t1)) | m_main_v_state1(s129, c_t1) | (~node6(s128, s129)))),
% 4.70/3.61 inference(transitivity,[status(thm)],[10568, 10566])).
% 4.70/3.61 tff(10570,plain,
% 4.70/3.61 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s128, s129)) | (~m_main_v_state1(s128, c_t1)) | m_main_v_state1(s129, c_t1))),
% 4.70/3.61 inference(quant_inst,[status(thm)],[])).
% 4.70/3.61 tff(10571,plain,
% 4.70/3.61 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s128, c_t1)) | m_main_v_state1(s129, c_t1) | (~node6(s128, s129))),
% 4.70/3.61 inference(modus_ponens,[status(thm)],[10570, 10569])).
% 4.70/3.61 tff(10572,plain,
% 4.70/3.61 (m_main_v_state1(s129, c_t1)),
% 4.70/3.61 inference(unit_resolution,[status(thm)],[10571, 856, 10476, 10565])).
% 4.70/3.61 tff(10573,plain,
% 4.70/3.61 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s128, c_t2)) | (~m_main_v_state2(s128, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s128, c_t2)) | (~m_main_v_state2(s128, c_c2)))),
% 4.70/3.61 inference(rewrite,[status(thm)],[])).
% 4.70/3.61 tff(10574,plain,
% 4.70/3.61 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s128, c_t2)) | (~m_main_v_state2(s128, c_c2)))),
% 4.70/3.61 inference(quant_inst,[status(thm)],[])).
% 4.70/3.61 tff(10575,plain,
% 4.70/3.61 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s128, c_t2)) | (~m_main_v_state2(s128, c_c2))),
% 4.70/3.61 inference(modus_ponens,[status(thm)],[10574, 10573])).
% 4.70/3.61 tff(10576,plain,
% 4.70/3.61 (~m_main_v_state2(s128, c_t2)),
% 4.70/3.61 inference(unit_resolution,[status(thm)],[10575, 260, 10541])).
% 4.70/3.61 tff(10577,plain,
% 4.70/3.61 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s128, c_t2) | (~node12(s128)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s128, c_t2) | (~node12(s128)))),
% 4.70/3.61 inference(rewrite,[status(thm)],[])).
% 4.70/3.61 tff(10578,plain,
% 4.70/3.61 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s128, c_t2) | (~node12(s128)))),
% 4.70/3.61 inference(quant_inst,[status(thm)],[])).
% 4.70/3.61 tff(10579,plain,
% 4.70/3.61 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s128, c_t2) | (~node12(s128))),
% 4.70/3.61 inference(modus_ponens,[status(thm)],[10578, 10577])).
% 4.70/3.61 tff(10580,plain,
% 4.70/3.61 (~node12(s128)),
% 4.70/3.61 inference(unit_resolution,[status(thm)],[10579, 633, 10576])).
% 4.70/3.61 tff(10581,plain,
% 4.70/3.61 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s128, c_n1) | (~node11(s128)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s128, c_n1) | (~node11(s128)))),
% 4.70/3.61 inference(rewrite,[status(thm)],[])).
% 4.70/3.61 tff(10582,plain,
% 4.70/3.61 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s128, c_n1) | (~node11(s128)))),
% 4.70/3.61 inference(quant_inst,[status(thm)],[])).
% 4.70/3.61 tff(10583,plain,
% 4.70/3.61 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s128, c_n1) | (~node11(s128))),
% 4.70/3.61 inference(modus_ponens,[status(thm)],[10582, 10581])).
% 4.70/3.61 tff(10584,plain,
% 4.70/3.61 (~node11(s128)),
% 4.70/3.61 inference(unit_resolution,[status(thm)],[10583, 238, 10480])).
% 4.70/3.61 tff(10585,plain,
% 4.70/3.61 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s128, c_c1) | (~node10(s128)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s128, c_c1) | (~node10(s128)))),
% 4.70/3.61 inference(rewrite,[status(thm)],[])).
% 4.70/3.61 tff(10586,plain,
% 4.70/3.61 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s128, c_c1) | (~node10(s128)))),
% 4.70/3.61 inference(quant_inst,[status(thm)],[])).
% 4.70/3.61 tff(10587,plain,
% 4.70/3.61 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s128, c_c1) | (~node10(s128))),
% 4.70/3.61 inference(modus_ponens,[status(thm)],[10586, 10585])).
% 4.70/3.61 tff(10588,plain,
% 4.70/3.61 (~node10(s128)),
% 4.70/3.61 inference(unit_resolution,[status(thm)],[10587, 675, 10513])).
% 4.70/3.61 tff(10589,plain,
% 4.70/3.61 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s128, c_n1) | (~node9(s128)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s128, c_n1) | (~node9(s128)))),
% 4.70/3.61 inference(rewrite,[status(thm)],[])).
% 4.70/3.61 tff(10590,plain,
% 4.70/3.61 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s128, c_n1) | (~node9(s128)))),
% 4.70/3.61 inference(quant_inst,[status(thm)],[])).
% 4.70/3.61 tff(10591,plain,
% 4.70/3.61 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s128, c_n1) | (~node9(s128))),
% 4.70/3.61 inference(modus_ponens,[status(thm)],[10590, 10589])).
% 4.70/3.61 tff(10592,plain,
% 4.70/3.61 (~node9(s128)),
% 4.70/3.61 inference(unit_resolution,[status(thm)],[10591, 686, 10480])).
% 4.70/3.61 tff(10593,plain,
% 4.70/3.61 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s128, c_n2) | (~node8(s128)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s128, c_n2) | (~node8(s128)))),
% 4.70/3.61 inference(rewrite,[status(thm)],[])).
% 4.70/3.61 tff(10594,plain,
% 4.70/3.61 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s128, c_n2) | (~node8(s128)))),
% 4.70/3.61 inference(quant_inst,[status(thm)],[])).
% 4.70/3.61 tff(10595,plain,
% 4.70/3.61 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s128, c_n2) | (~node8(s128))),
% 4.70/3.61 inference(modus_ponens,[status(thm)],[10594, 10593])).
% 4.70/3.61 tff(10596,plain,
% 4.70/3.61 (~node8(s128)),
% 4.70/3.61 inference(unit_resolution,[status(thm)],[10595, 271, 10545])).
% 4.70/3.61 tff(10597,plain,
% 4.70/3.61 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s128, s129)) | node14(s128, s129))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s128, s129)) | node14(s128, s129))),
% 4.70/3.61 inference(rewrite,[status(thm)],[])).
% 4.70/3.61 tff(10598,plain,
% 4.70/3.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s128, s129)) | node14(s128, s129))),
% 4.70/3.61 inference(quant_inst,[status(thm)],[])).
% 4.70/3.61 tff(10599,plain,
% 4.70/3.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s128, s129)) | node14(s128, s129)),
% 4.70/3.61 inference(modus_ponens,[status(thm)],[10598, 10597])).
% 4.70/3.61 tff(10600,plain,
% 4.70/3.61 (node14(s128, s129)),
% 4.70/3.61 inference(unit_resolution,[status(thm)],[10599, 46, 10556])).
% 4.70/3.61 tff(10601,plain,
% 4.70/3.61 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s129, c_n2) | node9(s128) | node8(s128) | node10(s128) | node11(s128) | node12(s128) | (~node14(s128, s129)) | (~m_main_v_state2(s128, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s129, c_n2) | node9(s128) | node8(s128) | node10(s128) | node11(s128) | node12(s128) | (~node14(s128, s129)) | (~m_main_v_state2(s128, c_c2)))),
% 4.70/3.61 inference(rewrite,[status(thm)],[])).
% 4.70/3.61 tff(10602,plain,
% 4.70/3.61 (((~m_main_v_state2(s128, c_c2)) | node9(s128) | node8(s128) | node10(s128) | node11(s128) | node12(s128) | (~node14(s128, s129)) | m_main_v_state2(s129, c_n2)) <=> (m_main_v_state2(s129, c_n2) | node9(s128) | node8(s128) | node10(s128) | node11(s128) | node12(s128) | (~node14(s128, s129)) | (~m_main_v_state2(s128, c_c2)))),
% 4.70/3.61 inference(rewrite,[status(thm)],[])).
% 4.70/3.61 tff(10603,plain,
% 4.70/3.61 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s128, c_c2)) | node9(s128) | node8(s128) | node10(s128) | node11(s128) | node12(s128) | (~node14(s128, s129)) | m_main_v_state2(s129, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s129, c_n2) | node9(s128) | node8(s128) | node10(s128) | node11(s128) | node12(s128) | (~node14(s128, s129)) | (~m_main_v_state2(s128, c_c2))))),
% 4.70/3.61 inference(monotonicity,[status(thm)],[10602])).
% 4.70/3.61 tff(10604,plain,
% 4.70/3.61 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s128, c_c2)) | node9(s128) | node8(s128) | node10(s128) | node11(s128) | node12(s128) | (~node14(s128, s129)) | m_main_v_state2(s129, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s129, c_n2) | node9(s128) | node8(s128) | node10(s128) | node11(s128) | node12(s128) | (~node14(s128, s129)) | (~m_main_v_state2(s128, c_c2)))),
% 4.70/3.61 inference(transitivity,[status(thm)],[10603, 10601])).
% 4.70/3.61 tff(10605,plain,
% 4.70/3.61 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s128, c_c2)) | node9(s128) | node8(s128) | node10(s128) | node11(s128) | node12(s128) | (~node14(s128, s129)) | m_main_v_state2(s129, c_n2))),
% 4.70/3.61 inference(quant_inst,[status(thm)],[])).
% 4.70/3.61 tff(10606,plain,
% 4.70/3.61 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s129, c_n2) | node9(s128) | node8(s128) | node10(s128) | node11(s128) | node12(s128) | (~node14(s128, s129)) | (~m_main_v_state2(s128, c_c2))),
% 4.70/3.61 inference(modus_ponens,[status(thm)],[10605, 10604])).
% 4.70/3.61 tff(10607,plain,
% 4.70/3.61 (m_main_v_state2(s129, c_n2) | node9(s128) | node8(s128) | node10(s128) | node11(s128) | node12(s128) | (~m_main_v_state2(s128, c_c2))),
% 4.70/3.61 inference(unit_resolution,[status(thm)],[10606, 726, 10600])).
% 4.70/3.61 tff(10608,plain,
% 4.70/3.61 (m_main_v_state2(s129, c_n2)),
% 4.70/3.61 inference(unit_resolution,[status(thm)],[10607, 10596, 10541, 10592, 10588, 10584, 10580])).
% 4.70/3.61 tff(10609,plain,
% 4.70/3.61 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s129, c_n2)) | (~m_main_v_state2(s129, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s129, c_n2)) | (~m_main_v_state2(s129, c_t2)))),
% 4.70/3.61 inference(rewrite,[status(thm)],[])).
% 4.70/3.61 tff(10610,plain,
% 4.70/3.61 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s129, c_n2)) | (~m_main_v_state2(s129, c_t2)))),
% 4.70/3.61 inference(quant_inst,[status(thm)],[])).
% 4.70/3.61 tff(10611,plain,
% 4.70/3.61 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s129, c_n2)) | (~m_main_v_state2(s129, c_t2))),
% 4.70/3.61 inference(modus_ponens,[status(thm)],[10610, 10609])).
% 4.70/3.61 tff(10612,plain,
% 4.70/3.61 (~m_main_v_state2(s129, c_t2)),
% 4.70/3.61 inference(unit_resolution,[status(thm)],[10611, 77, 10608])).
% 4.70/3.61 tff(10613,plain,
% 4.70/3.61 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s129, c_t2) | (~node15(s129)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s129, c_t2) | (~node15(s129)))),
% 4.70/3.61 inference(rewrite,[status(thm)],[])).
% 4.70/3.61 tff(10614,plain,
% 4.70/3.61 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s129, c_t2) | (~node15(s129)))),
% 4.70/3.61 inference(quant_inst,[status(thm)],[])).
% 4.70/3.61 tff(10615,plain,
% 4.70/3.61 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s129, c_t2) | (~node15(s129))),
% 4.70/3.61 inference(modus_ponens,[status(thm)],[10614, 10613])).
% 4.70/3.61 tff(10616,plain,
% 4.70/3.61 (~node15(s129)),
% 4.70/3.61 inference(unit_resolution,[status(thm)],[10615, 103, 10612])).
% 4.70/3.61 tff(10617,plain,
% 4.70/3.61 (succ(s129, s130) <=> succ(s129, s130)),
% 4.70/3.61 inference(rewrite,[status(thm)],[])).
% 4.70/3.61 tff(10618,axiom,(succ(s129, s130)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound130')).
% 4.70/3.61 tff(10619,plain,
% 4.70/3.61 (succ(s129, s130)),
% 4.70/3.61 inference(modus_ponens,[status(thm)],[10618, 10617])).
% 4.70/3.61 tff(10620,plain,
% 4.70/3.61 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s129, s130)) | trans(s129, s130))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s129, s130)) | trans(s129, s130))),
% 4.70/3.61 inference(rewrite,[status(thm)],[])).
% 4.70/3.61 tff(10621,plain,
% 4.70/3.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s129, s130)) | trans(s129, s130))),
% 4.70/3.61 inference(quant_inst,[status(thm)],[])).
% 4.70/3.61 tff(10622,plain,
% 4.70/3.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s129, s130)) | trans(s129, s130)),
% 4.70/3.61 inference(modus_ponens,[status(thm)],[10621, 10620])).
% 4.70/3.61 tff(10623,plain,
% 4.70/3.61 (trans(s129, s130)),
% 4.70/3.61 inference(unit_resolution,[status(thm)],[10622, 10619, 32])).
% 4.70/3.61 tff(10624,plain,
% 4.70/3.61 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s129, s130)) | node18(s129, s130))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s129, s130)) | node18(s129, s130))),
% 4.70/3.61 inference(rewrite,[status(thm)],[])).
% 4.70/3.61 tff(10625,plain,
% 4.70/3.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s129, s130)) | node18(s129, s130))),
% 4.70/3.61 inference(quant_inst,[status(thm)],[])).
% 4.70/3.61 tff(10626,plain,
% 4.70/3.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s129, s130)) | node18(s129, s130)),
% 4.70/3.61 inference(modus_ponens,[status(thm)],[10625, 10624])).
% 4.70/3.61 tff(10627,plain,
% 4.70/3.61 (node18(s129, s130)),
% 4.70/3.61 inference(unit_resolution,[status(thm)],[10626, 125, 10623])).
% 4.70/3.61 tff(10628,plain,
% 4.70/3.61 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s129) | (~node18(s129, s130)) | (~m_main_v_state1(s129, c_t1)) | (~m_main_v_state2(s129, c_n2)) | m_main_v_turn(s130, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s129) | (~node18(s129, s130)) | (~m_main_v_state1(s129, c_t1)) | (~m_main_v_state2(s129, c_n2)) | m_main_v_turn(s130, c_1))),
% 4.78/3.62 inference(rewrite,[status(thm)],[])).
% 4.78/3.62 tff(10629,plain,
% 4.78/3.62 (((~m_main_v_state1(s129, c_t1)) | (~m_main_v_state2(s129, c_n2)) | node15(s129) | (~node18(s129, s130)) | m_main_v_turn(s130, c_1)) <=> (node15(s129) | (~node18(s129, s130)) | (~m_main_v_state1(s129, c_t1)) | (~m_main_v_state2(s129, c_n2)) | m_main_v_turn(s130, c_1))),
% 4.78/3.62 inference(rewrite,[status(thm)],[])).
% 4.78/3.62 tff(10630,plain,
% 4.78/3.62 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s129, c_t1)) | (~m_main_v_state2(s129, c_n2)) | node15(s129) | (~node18(s129, s130)) | m_main_v_turn(s130, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s129) | (~node18(s129, s130)) | (~m_main_v_state1(s129, c_t1)) | (~m_main_v_state2(s129, c_n2)) | m_main_v_turn(s130, c_1)))),
% 4.78/3.62 inference(monotonicity,[status(thm)],[10629])).
% 4.78/3.62 tff(10631,plain,
% 4.78/3.62 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s129, c_t1)) | (~m_main_v_state2(s129, c_n2)) | node15(s129) | (~node18(s129, s130)) | m_main_v_turn(s130, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s129) | (~node18(s129, s130)) | (~m_main_v_state1(s129, c_t1)) | (~m_main_v_state2(s129, c_n2)) | m_main_v_turn(s130, c_1))),
% 4.78/3.62 inference(transitivity,[status(thm)],[10630, 10628])).
% 4.78/3.62 tff(10632,plain,
% 4.78/3.62 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s129, c_t1)) | (~m_main_v_state2(s129, c_n2)) | node15(s129) | (~node18(s129, s130)) | m_main_v_turn(s130, c_1))),
% 4.78/3.62 inference(quant_inst,[status(thm)],[])).
% 4.78/3.62 tff(10633,plain,
% 4.78/3.62 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s129) | (~node18(s129, s130)) | (~m_main_v_state1(s129, c_t1)) | (~m_main_v_state2(s129, c_n2)) | m_main_v_turn(s130, c_1)),
% 4.78/3.62 inference(modus_ponens,[status(thm)],[10632, 10631])).
% 4.78/3.62 tff(10634,plain,
% 4.78/3.62 (node15(s129) | (~m_main_v_state1(s129, c_t1)) | (~m_main_v_state2(s129, c_n2)) | m_main_v_turn(s130, c_1)),
% 4.78/3.62 inference(unit_resolution,[status(thm)],[10633, 992, 10627])).
% 4.78/3.62 tff(10635,plain,
% 4.78/3.62 (m_main_v_turn(s130, c_1)),
% 4.78/3.62 inference(unit_resolution,[status(thm)],[10634, 10616, 10608, 10572])).
% 4.78/3.62 tff(10636,plain,
% 4.78/3.62 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s130, c_1)) | (~m_main_v_turn(s130, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s130, c_1)) | (~m_main_v_turn(s130, c_2)))),
% 4.78/3.62 inference(rewrite,[status(thm)],[])).
% 4.78/3.62 tff(10637,plain,
% 4.78/3.62 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s130, c_1)) | (~m_main_v_turn(s130, c_2)))),
% 4.78/3.62 inference(quant_inst,[status(thm)],[])).
% 4.78/3.62 tff(10638,plain,
% 4.78/3.62 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s130, c_1)) | (~m_main_v_turn(s130, c_2))),
% 4.78/3.62 inference(modus_ponens,[status(thm)],[10637, 10636])).
% 4.78/3.62 tff(10639,plain,
% 4.78/3.62 (~m_main_v_turn(s130, c_2)),
% 4.78/3.62 inference(unit_resolution,[status(thm)],[10638, 156, 10635])).
% 4.78/3.62 tff(10640,plain,
% 4.78/3.62 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s130, c_2) | (~node12(s130)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s130, c_2) | (~node12(s130)))),
% 4.78/3.62 inference(rewrite,[status(thm)],[])).
% 4.78/3.62 tff(10641,plain,
% 4.78/3.62 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s130, c_2) | (~node12(s130)))),
% 4.78/3.62 inference(quant_inst,[status(thm)],[])).
% 4.78/3.62 tff(10642,plain,
% 4.78/3.62 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s130, c_2) | (~node12(s130))),
% 4.78/3.62 inference(modus_ponens,[status(thm)],[10641, 10640])).
% 4.78/3.62 tff(10643,plain,
% 4.78/3.62 (~node12(s130)),
% 4.78/3.62 inference(unit_resolution,[status(thm)],[10642, 184, 10639])).
% 4.78/3.62 tff(10644,plain,
% 4.78/3.62 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s129, s130)) | node14(s129, s130))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s129, s130)) | node14(s129, s130))),
% 4.78/3.62 inference(rewrite,[status(thm)],[])).
% 4.78/3.62 tff(10645,plain,
% 4.78/3.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s129, s130)) | node14(s129, s130))),
% 4.78/3.62 inference(quant_inst,[status(thm)],[])).
% 4.78/3.62 tff(10646,plain,
% 4.78/3.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s129, s130)) | node14(s129, s130)),
% 4.78/3.62 inference(modus_ponens,[status(thm)],[10645, 10644])).
% 4.78/3.62 tff(10647,plain,
% 4.78/3.62 (node14(s129, s130)),
% 4.78/3.62 inference(unit_resolution,[status(thm)],[10646, 46, 10623])).
% 4.78/3.62 tff(10648,plain,
% 4.78/3.62 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s129, c_t1)) | (~m_main_v_state2(s129, c_n2)) | (~node14(s129, s130)) | m_main_v_state2(s130, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s129, c_t1)) | (~m_main_v_state2(s129, c_n2)) | (~node14(s129, s130)) | m_main_v_state2(s130, c_t2))),
% 4.78/3.62 inference(rewrite,[status(thm)],[])).
% 4.78/3.62 tff(10649,plain,
% 4.78/3.62 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s129, c_t1)) | (~m_main_v_state2(s129, c_n2)) | (~node14(s129, s130)) | m_main_v_state2(s130, c_t2))),
% 4.78/3.62 inference(quant_inst,[status(thm)],[])).
% 4.78/3.62 tff(10650,plain,
% 4.78/3.62 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s129, c_t1)) | (~m_main_v_state2(s129, c_n2)) | (~node14(s129, s130)) | m_main_v_state2(s130, c_t2)),
% 4.78/3.62 inference(modus_ponens,[status(thm)],[10649, 10648])).
% 4.78/3.62 tff(10651,plain,
% 4.78/3.62 ((~m_main_v_state1(s129, c_t1)) | (~m_main_v_state2(s129, c_n2)) | m_main_v_state2(s130, c_t2)),
% 4.78/3.62 inference(unit_resolution,[status(thm)],[10650, 922, 10647])).
% 4.78/3.62 tff(10652,plain,
% 4.78/3.62 (m_main_v_state2(s130, c_t2)),
% 4.78/3.62 inference(unit_resolution,[status(thm)],[10651, 10572, 10608])).
% 4.78/3.62 tff(10653,plain,
% 4.78/3.62 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s130, c_n2)) | (~m_main_v_state2(s130, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s130, c_n2)) | (~m_main_v_state2(s130, c_t2)))),
% 4.78/3.62 inference(rewrite,[status(thm)],[])).
% 4.78/3.62 tff(10654,plain,
% 4.78/3.62 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s130, c_n2)) | (~m_main_v_state2(s130, c_t2)))),
% 4.78/3.62 inference(quant_inst,[status(thm)],[])).
% 4.78/3.62 tff(10655,plain,
% 4.78/3.62 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s130, c_n2)) | (~m_main_v_state2(s130, c_t2))),
% 4.78/3.62 inference(modus_ponens,[status(thm)],[10654, 10653])).
% 4.78/3.62 tff(10656,plain,
% 4.78/3.62 (~m_main_v_state2(s130, c_n2)),
% 4.78/3.62 inference(unit_resolution,[status(thm)],[10655, 77, 10652])).
% 4.78/3.62 tff(10657,plain,
% 4.78/3.62 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s130, c_n2) | (~node8(s130)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s130, c_n2) | (~node8(s130)))),
% 4.78/3.62 inference(rewrite,[status(thm)],[])).
% 4.78/3.62 tff(10658,plain,
% 4.78/3.62 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s130, c_n2) | (~node8(s130)))),
% 4.78/3.62 inference(quant_inst,[status(thm)],[])).
% 4.78/3.62 tff(10659,plain,
% 4.78/3.62 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s130, c_n2) | (~node8(s130))),
% 4.78/3.62 inference(modus_ponens,[status(thm)],[10658, 10657])).
% 4.78/3.62 tff(10660,plain,
% 4.78/3.62 (~node8(s130)),
% 4.78/3.62 inference(unit_resolution,[status(thm)],[10659, 271, 10656])).
% 4.78/3.62 tff(10661,plain,
% 4.78/3.62 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s130, c_n2) | (~node9(s130)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s130, c_n2) | (~node9(s130)))),
% 4.78/3.62 inference(rewrite,[status(thm)],[])).
% 4.78/3.62 tff(10662,plain,
% 4.78/3.62 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s130, c_n2) | (~node9(s130)))),
% 4.78/3.62 inference(quant_inst,[status(thm)],[])).
% 4.78/3.62 tff(10663,plain,
% 4.78/3.62 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s130, c_n2) | (~node9(s130))),
% 4.78/3.62 inference(modus_ponens,[status(thm)],[10662, 10661])).
% 4.78/3.62 tff(10664,plain,
% 4.78/3.62 (~node9(s130)),
% 4.78/3.62 inference(unit_resolution,[status(thm)],[10663, 88, 10656])).
% 4.78/3.62 tff(10665,plain,
% 4.78/3.62 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s130, c_n2) | (~node10(s130)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s130, c_n2) | (~node10(s130)))),
% 4.78/3.62 inference(rewrite,[status(thm)],[])).
% 4.78/3.62 tff(10666,plain,
% 4.78/3.62 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s130, c_n2) | (~node10(s130)))),
% 4.78/3.62 inference(quant_inst,[status(thm)],[])).
% 4.78/3.62 tff(10667,plain,
% 4.78/3.62 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s130, c_n2) | (~node10(s130))),
% 4.78/3.62 inference(modus_ponens,[status(thm)],[10666, 10665])).
% 4.78/3.62 tff(10668,plain,
% 4.78/3.62 (~node10(s130)),
% 4.78/3.62 inference(unit_resolution,[status(thm)],[10667, 249, 10656])).
% 4.78/3.62 tff(10669,plain,
% 4.78/3.62 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s130, c_t2)) | (~m_main_v_state2(s130, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s130, c_t2)) | (~m_main_v_state2(s130, c_c2)))),
% 4.78/3.62 inference(rewrite,[status(thm)],[])).
% 4.78/3.62 tff(10670,plain,
% 4.78/3.62 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s130, c_t2)) | (~m_main_v_state2(s130, c_c2)))),
% 4.78/3.62 inference(quant_inst,[status(thm)],[])).
% 4.78/3.62 tff(10671,plain,
% 4.78/3.62 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s130, c_t2)) | (~m_main_v_state2(s130, c_c2))),
% 4.78/3.62 inference(modus_ponens,[status(thm)],[10670, 10669])).
% 4.78/3.62 tff(10672,plain,
% 4.78/3.62 (~m_main_v_state2(s130, c_c2)),
% 4.78/3.62 inference(unit_resolution,[status(thm)],[10671, 260, 10652])).
% 4.78/3.62 tff(10673,plain,
% 4.78/3.62 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s129, c_n2)) | (~m_main_v_state2(s129, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s129, c_n2)) | (~m_main_v_state2(s129, c_c2)))),
% 4.78/3.62 inference(rewrite,[status(thm)],[])).
% 4.78/3.62 tff(10674,plain,
% 4.78/3.62 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s129, c_n2)) | (~m_main_v_state2(s129, c_c2)))),
% 4.78/3.62 inference(quant_inst,[status(thm)],[])).
% 4.78/3.62 tff(10675,plain,
% 4.78/3.62 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s129, c_n2)) | (~m_main_v_state2(s129, c_c2))),
% 4.78/3.62 inference(modus_ponens,[status(thm)],[10674, 10673])).
% 4.78/3.62 tff(10676,plain,
% 4.78/3.62 (~m_main_v_state2(s129, c_c2)),
% 4.78/3.62 inference(unit_resolution,[status(thm)],[10675, 697, 10608])).
% 4.78/3.62 tff(10677,plain,
% 4.78/3.62 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s129, c_c2) | (~node3(s129)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s129, c_c2) | (~node3(s129)))),
% 4.78/3.62 inference(rewrite,[status(thm)],[])).
% 4.78/3.62 tff(10678,plain,
% 4.78/3.62 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s129, c_c2) | (~node3(s129)))),
% 4.78/3.62 inference(quant_inst,[status(thm)],[])).
% 4.78/3.62 tff(10679,plain,
% 4.78/3.62 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s129, c_c2) | (~node3(s129))),
% 4.78/3.62 inference(modus_ponens,[status(thm)],[10678, 10677])).
% 4.78/3.62 tff(10680,plain,
% 4.78/3.62 (~node3(s129)),
% 4.78/3.62 inference(unit_resolution,[status(thm)],[10679, 399, 10676])).
% 4.78/3.62 tff(10681,plain,
% 4.78/3.62 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s128, c_n1) | (~m_main_v_state1(s129, c_n1)) | (~node6(s128, s129)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s128, c_n1) | (~m_main_v_state1(s129, c_n1)) | (~node6(s128, s129)))),
% 4.78/3.62 inference(rewrite,[status(thm)],[])).
% 4.78/3.62 tff(10682,plain,
% 4.78/3.62 (((~node6(s128, s129)) | m_main_v_state1(s128, c_n1) | (~m_main_v_state1(s129, c_n1))) <=> (m_main_v_state1(s128, c_n1) | (~m_main_v_state1(s129, c_n1)) | (~node6(s128, s129)))),
% 4.78/3.62 inference(rewrite,[status(thm)],[])).
% 4.78/3.62 tff(10683,plain,
% 4.78/3.62 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s128, s129)) | m_main_v_state1(s128, c_n1) | (~m_main_v_state1(s129, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s128, c_n1) | (~m_main_v_state1(s129, c_n1)) | (~node6(s128, s129))))),
% 4.78/3.62 inference(monotonicity,[status(thm)],[10682])).
% 4.78/3.62 tff(10684,plain,
% 4.78/3.62 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s128, s129)) | m_main_v_state1(s128, c_n1) | (~m_main_v_state1(s129, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s128, c_n1) | (~m_main_v_state1(s129, c_n1)) | (~node6(s128, s129)))),
% 4.78/3.62 inference(transitivity,[status(thm)],[10683, 10681])).
% 4.78/3.62 tff(10685,plain,
% 4.78/3.62 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s128, s129)) | m_main_v_state1(s128, c_n1) | (~m_main_v_state1(s129, c_n1)))),
% 4.78/3.62 inference(quant_inst,[status(thm)],[])).
% 4.78/3.62 tff(10686,plain,
% 4.78/3.62 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s128, c_n1) | (~m_main_v_state1(s129, c_n1)) | (~node6(s128, s129))),
% 4.78/3.62 inference(modus_ponens,[status(thm)],[10685, 10684])).
% 4.78/3.62 tff(10687,plain,
% 4.78/3.62 (~m_main_v_state1(s129, c_n1)),
% 4.78/3.62 inference(unit_resolution,[status(thm)],[10686, 835, 10480, 10565])).
% 4.78/3.62 tff(10688,plain,
% 4.78/3.62 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s129, c_n1) | (~node2(s129)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s129, c_n1) | (~node2(s129)))),
% 4.78/3.62 inference(rewrite,[status(thm)],[])).
% 4.78/3.62 tff(10689,plain,
% 4.78/3.62 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s129, c_n1) | (~node2(s129)))),
% 4.78/3.62 inference(quant_inst,[status(thm)],[])).
% 4.78/3.62 tff(10690,plain,
% 4.78/3.62 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s129, c_n1) | (~node2(s129))),
% 4.78/3.62 inference(modus_ponens,[status(thm)],[10689, 10688])).
% 4.78/3.62 tff(10691,plain,
% 4.78/3.62 (~node2(s129)),
% 4.78/3.62 inference(unit_resolution,[status(thm)],[10690, 787, 10687])).
% 4.78/3.62 tff(10692,plain,
% 4.78/3.62 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s129, c_t2) | (~node1(s129)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s129, c_t2) | (~node1(s129)))),
% 4.78/3.62 inference(rewrite,[status(thm)],[])).
% 4.78/3.62 tff(10693,plain,
% 4.78/3.62 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s129, c_t2) | (~node1(s129)))),
% 4.78/3.62 inference(quant_inst,[status(thm)],[])).
% 4.78/3.62 tff(10694,plain,
% 4.78/3.62 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s129, c_t2) | (~node1(s129))),
% 4.78/3.62 inference(modus_ponens,[status(thm)],[10693, 10692])).
% 4.78/3.62 tff(10695,plain,
% 4.78/3.62 (~node1(s129)),
% 4.78/3.62 inference(unit_resolution,[status(thm)],[10694, 195, 10612])).
% 4.78/3.62 tff(10696,plain,
% 4.78/3.62 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s129, s130)) | node7(s129, s130))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s129, s130)) | node7(s129, s130))),
% 4.78/3.62 inference(rewrite,[status(thm)],[])).
% 4.78/3.62 tff(10697,plain,
% 4.78/3.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s129, s130)) | node7(s129, s130))),
% 4.78/3.62 inference(quant_inst,[status(thm)],[])).
% 4.78/3.62 tff(10698,plain,
% 4.78/3.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s129, s130)) | node7(s129, s130)),
% 4.78/3.62 inference(modus_ponens,[status(thm)],[10697, 10696])).
% 4.78/3.62 tff(10699,plain,
% 4.78/3.62 (node7(s129, s130)),
% 4.78/3.62 inference(unit_resolution,[status(thm)],[10698, 206, 10623])).
% 4.78/3.62 tff(10700,plain,
% 4.78/3.62 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s129, c_t1)) | (~m_main_v_state2(s129, c_n2)) | m_main_v_state1(s130, c_c1) | node1(s129) | node2(s129) | node3(s129) | (~node7(s129, s130)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s129, c_t1)) | (~m_main_v_state2(s129, c_n2)) | m_main_v_state1(s130, c_c1) | node1(s129) | node2(s129) | node3(s129) | (~node7(s129, s130)))),
% 4.78/3.62 inference(rewrite,[status(thm)],[])).
% 4.78/3.62 tff(10701,plain,
% 4.78/3.62 (((~m_main_v_state1(s129, c_t1)) | (~m_main_v_state2(s129, c_n2)) | node1(s129) | node2(s129) | node3(s129) | (~node7(s129, s130)) | m_main_v_state1(s130, c_c1)) <=> ((~m_main_v_state1(s129, c_t1)) | (~m_main_v_state2(s129, c_n2)) | m_main_v_state1(s130, c_c1) | node1(s129) | node2(s129) | node3(s129) | (~node7(s129, s130)))),
% 4.78/3.62 inference(rewrite,[status(thm)],[])).
% 4.78/3.62 tff(10702,plain,
% 4.78/3.62 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s129, c_t1)) | (~m_main_v_state2(s129, c_n2)) | node1(s129) | node2(s129) | node3(s129) | (~node7(s129, s130)) | m_main_v_state1(s130, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s129, c_t1)) | (~m_main_v_state2(s129, c_n2)) | m_main_v_state1(s130, c_c1) | node1(s129) | node2(s129) | node3(s129) | (~node7(s129, s130))))),
% 4.78/3.62 inference(monotonicity,[status(thm)],[10701])).
% 4.78/3.62 tff(10703,plain,
% 4.78/3.62 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s129, c_t1)) | (~m_main_v_state2(s129, c_n2)) | node1(s129) | node2(s129) | node3(s129) | (~node7(s129, s130)) | m_main_v_state1(s130, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s129, c_t1)) | (~m_main_v_state2(s129, c_n2)) | m_main_v_state1(s130, c_c1) | node1(s129) | node2(s129) | node3(s129) | (~node7(s129, s130)))),
% 4.78/3.62 inference(transitivity,[status(thm)],[10702, 10700])).
% 4.78/3.62 tff(10704,plain,
% 4.78/3.62 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s129, c_t1)) | (~m_main_v_state2(s129, c_n2)) | node1(s129) | node2(s129) | node3(s129) | (~node7(s129, s130)) | m_main_v_state1(s130, c_c1))),
% 4.78/3.62 inference(quant_inst,[status(thm)],[])).
% 4.78/3.62 tff(10705,plain,
% 4.78/3.62 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s129, c_t1)) | (~m_main_v_state2(s129, c_n2)) | m_main_v_state1(s130, c_c1) | node1(s129) | node2(s129) | node3(s129) | (~node7(s129, s130))),
% 4.78/3.62 inference(modus_ponens,[status(thm)],[10704, 10703])).
% 4.78/3.62 tff(10706,plain,
% 4.78/3.62 ((~m_main_v_state1(s129, c_t1)) | (~m_main_v_state2(s129, c_n2)) | m_main_v_state1(s130, c_c1) | node1(s129) | node2(s129) | node3(s129)),
% 4.78/3.62 inference(unit_resolution,[status(thm)],[10705, 892, 10699])).
% 4.78/3.62 tff(10707,plain,
% 4.78/3.62 (m_main_v_state1(s130, c_c1)),
% 4.78/3.62 inference(unit_resolution,[status(thm)],[10706, 10695, 10608, 10572, 10691, 10680])).
% 4.78/3.62 tff(10708,plain,
% 4.78/3.62 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s130, c_n1)) | (~m_main_v_state1(s130, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s130, c_n1)) | (~m_main_v_state1(s130, c_c1)))),
% 4.78/3.62 inference(rewrite,[status(thm)],[])).
% 4.78/3.62 tff(10709,plain,
% 4.78/3.62 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s130, c_n1)) | (~m_main_v_state1(s130, c_c1)))),
% 4.78/3.62 inference(quant_inst,[status(thm)],[])).
% 4.78/3.62 tff(10710,plain,
% 4.78/3.62 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s130, c_n1)) | (~m_main_v_state1(s130, c_c1))),
% 4.78/3.62 inference(modus_ponens,[status(thm)],[10709, 10708])).
% 4.78/3.62 tff(10711,plain,
% 4.78/3.62 (~m_main_v_state1(s130, c_n1)),
% 4.78/3.62 inference(unit_resolution,[status(thm)],[10710, 454, 10707])).
% 4.78/3.62 tff(10712,plain,
% 4.78/3.62 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s130, c_n1) | (~node11(s130)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s130, c_n1) | (~node11(s130)))),
% 4.78/3.62 inference(rewrite,[status(thm)],[])).
% 4.78/3.62 tff(10713,plain,
% 4.78/3.62 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s130, c_n1) | (~node11(s130)))),
% 4.78/3.62 inference(quant_inst,[status(thm)],[])).
% 4.78/3.62 tff(10714,plain,
% 4.78/3.62 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s130, c_n1) | (~node11(s130))),
% 4.78/3.62 inference(modus_ponens,[status(thm)],[10713, 10712])).
% 4.78/3.62 tff(10715,plain,
% 4.78/3.62 (~node11(s130)),
% 4.78/3.62 inference(unit_resolution,[status(thm)],[10714, 238, 10711])).
% 4.78/3.62 tff(10716,plain,
% 4.78/3.62 (succ(s130, s131) <=> succ(s130, s131)),
% 4.78/3.62 inference(rewrite,[status(thm)],[])).
% 4.78/3.62 tff(10717,axiom,(succ(s130, s131)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound131')).
% 4.78/3.62 tff(10718,plain,
% 4.78/3.62 (succ(s130, s131)),
% 4.78/3.62 inference(modus_ponens,[status(thm)],[10717, 10716])).
% 4.78/3.62 tff(10719,plain,
% 4.78/3.62 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s130, s131)) | trans(s130, s131))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s130, s131)) | trans(s130, s131))),
% 4.78/3.62 inference(rewrite,[status(thm)],[])).
% 4.78/3.62 tff(10720,plain,
% 4.78/3.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s130, s131)) | trans(s130, s131))),
% 4.78/3.62 inference(quant_inst,[status(thm)],[])).
% 4.78/3.62 tff(10721,plain,
% 4.78/3.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s130, s131)) | trans(s130, s131)),
% 4.78/3.62 inference(modus_ponens,[status(thm)],[10720, 10719])).
% 4.78/3.62 tff(10722,plain,
% 4.78/3.62 (trans(s130, s131)),
% 4.78/3.62 inference(unit_resolution,[status(thm)],[10721, 10718, 32])).
% 4.78/3.62 tff(10723,plain,
% 4.78/3.62 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s130, s131)) | node14(s130, s131))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s130, s131)) | node14(s130, s131))),
% 4.78/3.62 inference(rewrite,[status(thm)],[])).
% 4.78/3.62 tff(10724,plain,
% 4.78/3.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s130, s131)) | node14(s130, s131))),
% 4.78/3.62 inference(quant_inst,[status(thm)],[])).
% 4.78/3.62 tff(10725,plain,
% 4.78/3.62 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s130, s131)) | node14(s130, s131)),
% 4.78/3.62 inference(modus_ponens,[status(thm)],[10724, 10723])).
% 4.78/3.62 tff(10726,plain,
% 4.78/3.62 (node14(s130, s131)),
% 4.78/3.62 inference(unit_resolution,[status(thm)],[10725, 46, 10722])).
% 4.78/3.62 tff(10727,plain,
% 4.78/3.62 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s130, c_c2) | node9(s130) | node8(s130) | node10(s130) | node11(s130) | node12(s130) | node13(s130, s131) | (~node14(s130, s131)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s130, c_c2) | node9(s130) | node8(s130) | node10(s130) | node11(s130) | node12(s130) | node13(s130, s131) | (~node14(s130, s131)))),
% 4.78/3.62 inference(rewrite,[status(thm)],[])).
% 4.78/3.62 tff(10728,plain,
% 4.78/3.62 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s130, c_c2) | node9(s130) | node8(s130) | node10(s130) | node11(s130) | node12(s130) | node13(s130, s131) | (~node14(s130, s131)))),
% 4.78/3.62 inference(quant_inst,[status(thm)],[])).
% 4.78/3.62 tff(10729,plain,
% 4.78/3.62 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s130, c_c2) | node9(s130) | node8(s130) | node10(s130) | node11(s130) | node12(s130) | node13(s130, s131) | (~node14(s130, s131))),
% 4.78/3.62 inference(modus_ponens,[status(thm)],[10728, 10727])).
% 4.78/3.62 tff(10730,plain,
% 4.78/3.62 (m_main_v_state2(s130, c_c2) | node9(s130) | node8(s130) | node10(s130) | node11(s130) | node12(s130) | node13(s130, s131)),
% 4.78/3.62 inference(unit_resolution,[status(thm)],[10729, 296, 10726])).
% 4.78/3.62 tff(10731,plain,
% 4.78/3.62 (node13(s130, s131)),
% 4.78/3.62 inference(unit_resolution,[status(thm)],[10730, 10715, 10672, 10668, 10664, 10660, 10643])).
% 4.78/3.62 tff(10732,plain,
% 4.78/3.62 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s130, c_n2) | (~m_main_v_state2(s131, c_n2)) | (~node13(s130, s131)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s130, c_n2) | (~m_main_v_state2(s131, c_n2)) | (~node13(s130, s131)))),
% 4.78/3.62 inference(rewrite,[status(thm)],[])).
% 4.78/3.62 tff(10733,plain,
% 4.78/3.62 (((~node13(s130, s131)) | m_main_v_state2(s130, c_n2) | (~m_main_v_state2(s131, c_n2))) <=> (m_main_v_state2(s130, c_n2) | (~m_main_v_state2(s131, c_n2)) | (~node13(s130, s131)))),
% 4.78/3.62 inference(rewrite,[status(thm)],[])).
% 4.78/3.62 tff(10734,plain,
% 4.78/3.62 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s130, s131)) | m_main_v_state2(s130, c_n2) | (~m_main_v_state2(s131, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s130, c_n2) | (~m_main_v_state2(s131, c_n2)) | (~node13(s130, s131))))),
% 4.78/3.62 inference(monotonicity,[status(thm)],[10733])).
% 4.78/3.62 tff(10735,plain,
% 4.78/3.62 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s130, s131)) | m_main_v_state2(s130, c_n2) | (~m_main_v_state2(s131, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s130, c_n2) | (~m_main_v_state2(s131, c_n2)) | (~node13(s130, s131)))),
% 4.78/3.62 inference(transitivity,[status(thm)],[10734, 10732])).
% 4.78/3.62 tff(10736,plain,
% 4.78/3.62 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s130, s131)) | m_main_v_state2(s130, c_n2) | (~m_main_v_state2(s131, c_n2)))),
% 4.78/3.62 inference(quant_inst,[status(thm)],[])).
% 4.78/3.62 tff(10737,plain,
% 4.78/3.62 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s130, c_n2) | (~m_main_v_state2(s131, c_n2)) | (~node13(s130, s131))),
% 4.78/3.62 inference(modus_ponens,[status(thm)],[10736, 10735])).
% 4.78/3.62 tff(10738,plain,
% 4.78/3.62 (~m_main_v_state2(s131, c_n2)),
% 4.78/3.62 inference(unit_resolution,[status(thm)],[10737, 311, 10656, 10731])).
% 4.78/3.62 tff(10739,plain,
% 4.78/3.62 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s131, c_n2) | (~node9(s131)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s131, c_n2) | (~node9(s131)))),
% 4.78/3.62 inference(rewrite,[status(thm)],[])).
% 4.78/3.62 tff(10740,plain,
% 4.78/3.62 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s131, c_n2) | (~node9(s131)))),
% 4.78/3.62 inference(quant_inst,[status(thm)],[])).
% 4.78/3.62 tff(10741,plain,
% 4.78/3.62 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s131, c_n2) | (~node9(s131))),
% 4.78/3.63 inference(modus_ponens,[status(thm)],[10740, 10739])).
% 4.78/3.63 tff(10742,plain,
% 4.78/3.63 (~node9(s131)),
% 4.78/3.63 inference(unit_resolution,[status(thm)],[10741, 88, 10738])).
% 4.78/3.63 tff(10743,plain,
% 4.78/3.63 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s131, c_n2) | (~node10(s131)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s131, c_n2) | (~node10(s131)))),
% 4.78/3.63 inference(rewrite,[status(thm)],[])).
% 4.78/3.63 tff(10744,plain,
% 4.78/3.63 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s131, c_n2) | (~node10(s131)))),
% 4.78/3.63 inference(quant_inst,[status(thm)],[])).
% 4.78/3.63 tff(10745,plain,
% 4.78/3.63 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s131, c_n2) | (~node10(s131))),
% 4.78/3.63 inference(modus_ponens,[status(thm)],[10744, 10743])).
% 4.78/3.63 tff(10746,plain,
% 4.78/3.63 (~node10(s131)),
% 4.78/3.63 inference(unit_resolution,[status(thm)],[10745, 249, 10738])).
% 4.78/3.63 tff(10747,plain,
% 4.78/3.63 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s130, c_t2)) | m_main_v_state2(s131, c_t2) | (~node13(s130, s131)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s130, c_t2)) | m_main_v_state2(s131, c_t2) | (~node13(s130, s131)))),
% 4.78/3.63 inference(rewrite,[status(thm)],[])).
% 4.78/3.63 tff(10748,plain,
% 4.78/3.63 (((~node13(s130, s131)) | (~m_main_v_state2(s130, c_t2)) | m_main_v_state2(s131, c_t2)) <=> ((~m_main_v_state2(s130, c_t2)) | m_main_v_state2(s131, c_t2) | (~node13(s130, s131)))),
% 4.78/3.63 inference(rewrite,[status(thm)],[])).
% 4.78/3.63 tff(10749,plain,
% 4.78/3.63 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s130, s131)) | (~m_main_v_state2(s130, c_t2)) | m_main_v_state2(s131, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s130, c_t2)) | m_main_v_state2(s131, c_t2) | (~node13(s130, s131))))),
% 4.78/3.63 inference(monotonicity,[status(thm)],[10748])).
% 4.78/3.63 tff(10750,plain,
% 4.78/3.63 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s130, s131)) | (~m_main_v_state2(s130, c_t2)) | m_main_v_state2(s131, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s130, c_t2)) | m_main_v_state2(s131, c_t2) | (~node13(s130, s131)))),
% 4.78/3.63 inference(transitivity,[status(thm)],[10749, 10747])).
% 4.78/3.63 tff(10751,plain,
% 4.78/3.63 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s130, s131)) | (~m_main_v_state2(s130, c_t2)) | m_main_v_state2(s131, c_t2))),
% 4.78/3.63 inference(quant_inst,[status(thm)],[])).
% 4.78/3.63 tff(10752,plain,
% 4.78/3.63 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s130, c_t2)) | m_main_v_state2(s131, c_t2) | (~node13(s130, s131))),
% 4.78/3.63 inference(modus_ponens,[status(thm)],[10751, 10750])).
% 4.78/3.63 tff(10753,plain,
% 4.78/3.63 (m_main_v_state2(s131, c_t2)),
% 4.78/3.63 inference(unit_resolution,[status(thm)],[10752, 518, 10652, 10731])).
% 4.78/3.63 tff(10754,plain,
% 4.78/3.63 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s130, c_t1)) | (~m_main_v_state1(s130, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s130, c_t1)) | (~m_main_v_state1(s130, c_c1)))),
% 4.78/3.63 inference(rewrite,[status(thm)],[])).
% 4.78/3.63 tff(10755,plain,
% 4.78/3.63 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s130, c_t1)) | (~m_main_v_state1(s130, c_c1)))),
% 4.78/3.63 inference(quant_inst,[status(thm)],[])).
% 4.78/3.63 tff(10756,plain,
% 4.78/3.63 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s130, c_t1)) | (~m_main_v_state1(s130, c_c1))),
% 4.78/3.63 inference(modus_ponens,[status(thm)],[10755, 10754])).
% 4.78/3.63 tff(10757,plain,
% 4.78/3.63 (~m_main_v_state1(s130, c_t1)),
% 4.78/3.63 inference(unit_resolution,[status(thm)],[10756, 539, 10707])).
% 4.78/3.63 tff(10758,plain,
% 4.78/3.63 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s130, c_t1) | (~node5(s130)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s130, c_t1) | (~node5(s130)))),
% 4.78/3.63 inference(rewrite,[status(thm)],[])).
% 4.78/3.63 tff(10759,plain,
% 4.78/3.63 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s130, c_t1) | (~node5(s130)))),
% 4.78/3.63 inference(quant_inst,[status(thm)],[])).
% 4.78/3.63 tff(10760,plain,
% 4.78/3.63 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s130, c_t1) | (~node5(s130))),
% 4.78/3.63 inference(modus_ponens,[status(thm)],[10759, 10758])).
% 4.78/3.63 tff(10761,plain,
% 4.78/3.63 (~node5(s130)),
% 4.78/3.63 inference(unit_resolution,[status(thm)],[10760, 550, 10757])).
% 4.78/3.63 tff(10762,plain,
% 4.78/3.63 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s130, c_n2) | (~node4(s130)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s130, c_n2) | (~node4(s130)))),
% 4.78/3.63 inference(rewrite,[status(thm)],[])).
% 4.78/3.63 tff(10763,plain,
% 4.78/3.63 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s130, c_n2) | (~node4(s130)))),
% 4.78/3.63 inference(quant_inst,[status(thm)],[])).
% 4.78/3.63 tff(10764,plain,
% 4.78/3.63 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s130, c_n2) | (~node4(s130))),
% 4.78/3.63 inference(modus_ponens,[status(thm)],[10763, 10762])).
% 4.78/3.63 tff(10765,plain,
% 4.78/3.63 (~node4(s130)),
% 4.78/3.63 inference(unit_resolution,[status(thm)],[10764, 388, 10656])).
% 4.78/3.63 tff(10766,plain,
% 4.78/3.63 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s130, c_c2) | (~node3(s130)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s130, c_c2) | (~node3(s130)))),
% 4.78/3.63 inference(rewrite,[status(thm)],[])).
% 4.78/3.63 tff(10767,plain,
% 4.78/3.63 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s130, c_c2) | (~node3(s130)))),
% 4.78/3.63 inference(quant_inst,[status(thm)],[])).
% 4.78/3.63 tff(10768,plain,
% 4.78/3.63 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s130, c_c2) | (~node3(s130))),
% 4.78/3.63 inference(modus_ponens,[status(thm)],[10767, 10766])).
% 4.78/3.63 tff(10769,plain,
% 4.78/3.63 (~node3(s130)),
% 4.78/3.63 inference(unit_resolution,[status(thm)],[10768, 399, 10672])).
% 4.78/3.63 tff(10770,plain,
% 4.78/3.63 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s130, c_n2) | (~node2(s130)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s130, c_n2) | (~node2(s130)))),
% 4.78/3.63 inference(rewrite,[status(thm)],[])).
% 4.78/3.63 tff(10771,plain,
% 4.78/3.63 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s130, c_n2) | (~node2(s130)))),
% 4.78/3.63 inference(quant_inst,[status(thm)],[])).
% 4.78/3.63 tff(10772,plain,
% 4.78/3.63 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s130, c_n2) | (~node2(s130))),
% 4.78/3.63 inference(modus_ponens,[status(thm)],[10771, 10770])).
% 4.78/3.63 tff(10773,plain,
% 4.78/3.63 (~node2(s130)),
% 4.78/3.63 inference(unit_resolution,[status(thm)],[10772, 410, 10656])).
% 4.78/3.63 tff(10774,plain,
% 4.78/3.63 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s130, c_n1) | (~node1(s130)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s130, c_n1) | (~node1(s130)))),
% 4.78/3.63 inference(rewrite,[status(thm)],[])).
% 4.78/3.63 tff(10775,plain,
% 4.78/3.63 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s130, c_n1) | (~node1(s130)))),
% 4.78/3.63 inference(quant_inst,[status(thm)],[])).
% 4.78/3.63 tff(10776,plain,
% 4.78/3.63 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s130, c_n1) | (~node1(s130))),
% 4.78/3.63 inference(modus_ponens,[status(thm)],[10775, 10774])).
% 4.78/3.63 tff(10777,plain,
% 4.78/3.63 (~node1(s130)),
% 4.78/3.63 inference(unit_resolution,[status(thm)],[10776, 421, 10711])).
% 4.78/3.63 tff(10778,plain,
% 4.78/3.63 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s130, s131)) | node7(s130, s131))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s130, s131)) | node7(s130, s131))),
% 4.78/3.63 inference(rewrite,[status(thm)],[])).
% 4.78/3.63 tff(10779,plain,
% 4.78/3.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s130, s131)) | node7(s130, s131))),
% 4.78/3.63 inference(quant_inst,[status(thm)],[])).
% 4.78/3.63 tff(10780,plain,
% 4.78/3.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s130, s131)) | node7(s130, s131)),
% 4.78/3.63 inference(modus_ponens,[status(thm)],[10779, 10778])).
% 4.78/3.63 tff(10781,plain,
% 4.78/3.63 (node7(s130, s131)),
% 4.78/3.63 inference(unit_resolution,[status(thm)],[10780, 206, 10722])).
% 4.78/3.63 tff(10782,plain,
% 4.78/3.63 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s131, c_n1) | (~m_main_v_state1(s130, c_c1)) | node1(s130) | node2(s130) | node3(s130) | node4(s130) | node5(s130) | (~node7(s130, s131)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s131, c_n1) | (~m_main_v_state1(s130, c_c1)) | node1(s130) | node2(s130) | node3(s130) | node4(s130) | node5(s130) | (~node7(s130, s131)))),
% 4.78/3.63 inference(rewrite,[status(thm)],[])).
% 4.78/3.63 tff(10783,plain,
% 4.78/3.63 (((~m_main_v_state1(s130, c_c1)) | node1(s130) | node2(s130) | node3(s130) | node4(s130) | node5(s130) | (~node7(s130, s131)) | m_main_v_state1(s131, c_n1)) <=> (m_main_v_state1(s131, c_n1) | (~m_main_v_state1(s130, c_c1)) | node1(s130) | node2(s130) | node3(s130) | node4(s130) | node5(s130) | (~node7(s130, s131)))),
% 4.78/3.63 inference(rewrite,[status(thm)],[])).
% 4.78/3.63 tff(10784,plain,
% 4.78/3.63 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s130, c_c1)) | node1(s130) | node2(s130) | node3(s130) | node4(s130) | node5(s130) | (~node7(s130, s131)) | m_main_v_state1(s131, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s131, c_n1) | (~m_main_v_state1(s130, c_c1)) | node1(s130) | node2(s130) | node3(s130) | node4(s130) | node5(s130) | (~node7(s130, s131))))),
% 4.78/3.63 inference(monotonicity,[status(thm)],[10783])).
% 4.78/3.63 tff(10785,plain,
% 4.78/3.63 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s130, c_c1)) | node1(s130) | node2(s130) | node3(s130) | node4(s130) | node5(s130) | (~node7(s130, s131)) | m_main_v_state1(s131, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s131, c_n1) | (~m_main_v_state1(s130, c_c1)) | node1(s130) | node2(s130) | node3(s130) | node4(s130) | node5(s130) | (~node7(s130, s131)))),
% 4.78/3.63 inference(transitivity,[status(thm)],[10784, 10782])).
% 4.78/3.63 tff(10786,plain,
% 4.78/3.63 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s130, c_c1)) | node1(s130) | node2(s130) | node3(s130) | node4(s130) | node5(s130) | (~node7(s130, s131)) | m_main_v_state1(s131, c_n1))),
% 4.78/3.63 inference(quant_inst,[status(thm)],[])).
% 4.78/3.63 tff(10787,plain,
% 4.78/3.63 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s131, c_n1) | (~m_main_v_state1(s130, c_c1)) | node1(s130) | node2(s130) | node3(s130) | node4(s130) | node5(s130) | (~node7(s130, s131))),
% 4.78/3.63 inference(modus_ponens,[status(thm)],[10786, 10785])).
% 4.78/3.63 tff(10788,plain,
% 4.78/3.63 (m_main_v_state1(s131, c_n1) | (~m_main_v_state1(s130, c_c1)) | node1(s130) | node2(s130) | node3(s130) | node4(s130) | node5(s130)),
% 4.78/3.63 inference(unit_resolution,[status(thm)],[10787, 584, 10781])).
% 4.78/3.63 tff(10789,plain,
% 4.78/3.63 (m_main_v_state1(s131, c_n1)),
% 4.78/3.63 inference(unit_resolution,[status(thm)],[10788, 10777, 10707, 10773, 10769, 10765, 10761])).
% 4.78/3.63 tff(10790,plain,
% 4.78/3.63 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s131, c_n2) | (~node8(s131)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s131, c_n2) | (~node8(s131)))),
% 4.78/3.63 inference(rewrite,[status(thm)],[])).
% 4.78/3.63 tff(10791,plain,
% 4.78/3.63 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s131, c_n2) | (~node8(s131)))),
% 4.78/3.63 inference(quant_inst,[status(thm)],[])).
% 4.78/3.63 tff(10792,plain,
% 4.78/3.63 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s131, c_n2) | (~node8(s131))),
% 4.78/3.63 inference(modus_ponens,[status(thm)],[10791, 10790])).
% 4.78/3.63 tff(10793,plain,
% 4.78/3.63 (~node8(s131)),
% 4.78/3.63 inference(unit_resolution,[status(thm)],[10792, 271, 10738])).
% 4.78/3.63 tff(10794,plain,
% 4.78/3.63 (succ(s131, s132) <=> succ(s131, s132)),
% 4.78/3.63 inference(rewrite,[status(thm)],[])).
% 4.78/3.63 tff(10795,axiom,(succ(s131, s132)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound132')).
% 4.78/3.63 tff(10796,plain,
% 4.78/3.63 (succ(s131, s132)),
% 4.78/3.63 inference(modus_ponens,[status(thm)],[10795, 10794])).
% 4.78/3.63 tff(10797,plain,
% 4.78/3.63 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s131, s132)) | trans(s131, s132))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s131, s132)) | trans(s131, s132))),
% 4.78/3.63 inference(rewrite,[status(thm)],[])).
% 4.78/3.63 tff(10798,plain,
% 4.78/3.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s131, s132)) | trans(s131, s132))),
% 4.78/3.63 inference(quant_inst,[status(thm)],[])).
% 4.78/3.63 tff(10799,plain,
% 4.78/3.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s131, s132)) | trans(s131, s132)),
% 4.78/3.63 inference(modus_ponens,[status(thm)],[10798, 10797])).
% 4.78/3.63 tff(10800,plain,
% 4.78/3.63 (trans(s131, s132)),
% 4.78/3.63 inference(unit_resolution,[status(thm)],[10799, 10796, 32])).
% 4.78/3.63 tff(10801,plain,
% 4.78/3.63 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s131, s132)) | node14(s131, s132))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s131, s132)) | node14(s131, s132))),
% 4.78/3.63 inference(rewrite,[status(thm)],[])).
% 4.78/3.63 tff(10802,plain,
% 4.78/3.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s131, s132)) | node14(s131, s132))),
% 4.78/3.63 inference(quant_inst,[status(thm)],[])).
% 4.78/3.63 tff(10803,plain,
% 4.78/3.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s131, s132)) | node14(s131, s132)),
% 4.78/3.63 inference(modus_ponens,[status(thm)],[10802, 10801])).
% 4.78/3.63 tff(10804,plain,
% 4.78/3.63 (node14(s131, s132)),
% 4.78/3.63 inference(unit_resolution,[status(thm)],[10803, 46, 10800])).
% 4.78/3.63 tff(10805,plain,
% 4.78/3.63 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s131, c_n1)) | (~m_main_v_state2(s131, c_t2)) | node9(s131) | node8(s131) | node10(s131) | (~node14(s131, s132)) | m_main_v_state2(s132, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s131, c_n1)) | (~m_main_v_state2(s131, c_t2)) | node9(s131) | node8(s131) | node10(s131) | (~node14(s131, s132)) | m_main_v_state2(s132, c_c2))),
% 4.78/3.63 inference(rewrite,[status(thm)],[])).
% 4.78/3.63 tff(10806,plain,
% 4.78/3.63 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s131, c_n1)) | (~m_main_v_state2(s131, c_t2)) | node9(s131) | node8(s131) | node10(s131) | (~node14(s131, s132)) | m_main_v_state2(s132, c_c2))),
% 4.78/3.63 inference(quant_inst,[status(thm)],[])).
% 4.78/3.63 tff(10807,plain,
% 4.78/3.63 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s131, c_n1)) | (~m_main_v_state2(s131, c_t2)) | node9(s131) | node8(s131) | node10(s131) | (~node14(s131, s132)) | m_main_v_state2(s132, c_c2)),
% 4.78/3.63 inference(modus_ponens,[status(thm)],[10806, 10805])).
% 4.78/3.63 tff(10808,plain,
% 4.78/3.63 ((~m_main_v_state1(s131, c_n1)) | (~m_main_v_state2(s131, c_t2)) | node9(s131) | node8(s131) | node10(s131) | m_main_v_state2(s132, c_c2)),
% 4.78/3.63 inference(unit_resolution,[status(thm)],[10807, 617, 10804])).
% 4.78/3.63 tff(10809,plain,
% 4.78/3.63 (m_main_v_state2(s132, c_c2)),
% 4.78/3.63 inference(unit_resolution,[status(thm)],[10808, 10793, 10789, 10753, 10746, 10742])).
% 4.78/3.63 tff(10810,plain,
% 4.78/3.63 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s132, c_t2)) | (~m_main_v_state2(s132, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s132, c_t2)) | (~m_main_v_state2(s132, c_c2)))),
% 4.78/3.63 inference(rewrite,[status(thm)],[])).
% 4.78/3.63 tff(10811,plain,
% 4.78/3.63 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s132, c_t2)) | (~m_main_v_state2(s132, c_c2)))),
% 4.78/3.63 inference(quant_inst,[status(thm)],[])).
% 4.78/3.63 tff(10812,plain,
% 4.78/3.63 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s132, c_t2)) | (~m_main_v_state2(s132, c_c2))),
% 4.78/3.63 inference(modus_ponens,[status(thm)],[10811, 10810])).
% 4.78/3.63 tff(10813,plain,
% 4.78/3.63 (~m_main_v_state2(s132, c_t2)),
% 4.78/3.63 inference(unit_resolution,[status(thm)],[10812, 260, 10809])).
% 4.78/3.63 tff(10814,plain,
% 4.78/3.63 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s132, c_t2) | (~node12(s132)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s132, c_t2) | (~node12(s132)))),
% 4.78/3.63 inference(rewrite,[status(thm)],[])).
% 4.78/3.63 tff(10815,plain,
% 4.78/3.63 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s132, c_t2) | (~node12(s132)))),
% 4.78/3.63 inference(quant_inst,[status(thm)],[])).
% 4.78/3.63 tff(10816,plain,
% 4.78/3.63 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s132, c_t2) | (~node12(s132))),
% 4.78/3.63 inference(modus_ponens,[status(thm)],[10815, 10814])).
% 4.78/3.63 tff(10817,plain,
% 4.78/3.63 (~node12(s132)),
% 4.78/3.63 inference(unit_resolution,[status(thm)],[10816, 633, 10813])).
% 4.78/3.63 tff(10818,plain,
% 4.78/3.63 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s131, s132)) | node7(s131, s132))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s131, s132)) | node7(s131, s132))),
% 4.78/3.63 inference(rewrite,[status(thm)],[])).
% 4.78/3.63 tff(10819,plain,
% 4.78/3.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s131, s132)) | node7(s131, s132))),
% 4.78/3.63 inference(quant_inst,[status(thm)],[])).
% 4.78/3.63 tff(10820,plain,
% 4.78/3.63 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s131, s132)) | node7(s131, s132)),
% 4.78/3.63 inference(modus_ponens,[status(thm)],[10819, 10818])).
% 4.78/3.63 tff(10821,plain,
% 4.78/3.63 (node7(s131, s132)),
% 4.78/3.63 inference(unit_resolution,[status(thm)],[10820, 206, 10800])).
% 4.78/3.63 tff(10822,plain,
% 4.78/3.63 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s131, c_n1)) | (~m_main_v_state2(s131, c_t2)) | (~node7(s131, s132)) | m_main_v_state1(s132, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s131, c_n1)) | (~m_main_v_state2(s131, c_t2)) | (~node7(s131, s132)) | m_main_v_state1(s132, c_t1))),
% 4.78/3.63 inference(rewrite,[status(thm)],[])).
% 4.78/3.63 tff(10823,plain,
% 4.78/3.63 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s131, c_n1)) | (~m_main_v_state2(s131, c_t2)) | (~node7(s131, s132)) | m_main_v_state1(s132, c_t1))),
% 4.78/3.63 inference(quant_inst,[status(thm)],[])).
% 4.78/3.63 tff(10824,plain,
% 4.78/3.63 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s131, c_n1)) | (~m_main_v_state2(s131, c_t2)) | (~node7(s131, s132)) | m_main_v_state1(s132, c_t1)),
% 4.78/3.63 inference(modus_ponens,[status(thm)],[10823, 10822])).
% 4.78/3.63 tff(10825,plain,
% 4.78/3.63 ((~m_main_v_state1(s131, c_n1)) | (~m_main_v_state2(s131, c_t2)) | m_main_v_state1(s132, c_t1)),
% 4.78/3.63 inference(unit_resolution,[status(thm)],[10824, 651, 10821])).
% 4.78/3.63 tff(10826,plain,
% 4.78/3.63 (m_main_v_state1(s132, c_t1)),
% 4.78/3.63 inference(unit_resolution,[status(thm)],[10825, 10753, 10789])).
% 4.78/3.63 tff(10827,plain,
% 4.78/3.63 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s132, c_n1)) | (~m_main_v_state1(s132, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s132, c_n1)) | (~m_main_v_state1(s132, c_t1)))),
% 4.78/3.63 inference(rewrite,[status(thm)],[])).
% 4.78/3.63 tff(10828,plain,
% 4.78/3.63 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s132, c_n1)) | (~m_main_v_state1(s132, c_t1)))),
% 4.78/3.63 inference(quant_inst,[status(thm)],[])).
% 4.78/3.63 tff(10829,plain,
% 4.78/3.63 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s132, c_n1)) | (~m_main_v_state1(s132, c_t1))),
% 4.78/3.63 inference(modus_ponens,[status(thm)],[10828, 10827])).
% 4.78/3.63 tff(10830,plain,
% 4.78/3.63 (~m_main_v_state1(s132, c_n1)),
% 4.78/3.63 inference(unit_resolution,[status(thm)],[10829, 10, 10826])).
% 4.78/3.63 tff(10831,plain,
% 4.78/3.63 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s132, c_n1) | (~node11(s132)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s132, c_n1) | (~node11(s132)))),
% 4.78/3.63 inference(rewrite,[status(thm)],[])).
% 4.78/3.63 tff(10832,plain,
% 4.78/3.63 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s132, c_n1) | (~node11(s132)))),
% 4.78/3.63 inference(quant_inst,[status(thm)],[])).
% 4.78/3.63 tff(10833,plain,
% 4.78/3.63 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s132, c_n1) | (~node11(s132))),
% 4.78/3.63 inference(modus_ponens,[status(thm)],[10832, 10831])).
% 4.78/3.63 tff(10834,plain,
% 4.78/3.63 (~node11(s132)),
% 4.78/3.63 inference(unit_resolution,[status(thm)],[10833, 238, 10830])).
% 4.78/3.63 tff(10835,plain,
% 4.78/3.63 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s132, c_t1)) | (~m_main_v_state1(s132, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s132, c_t1)) | (~m_main_v_state1(s132, c_c1)))),
% 4.78/3.63 inference(rewrite,[status(thm)],[])).
% 4.78/3.63 tff(10836,plain,
% 4.78/3.63 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s132, c_t1)) | (~m_main_v_state1(s132, c_c1)))),
% 4.78/3.63 inference(quant_inst,[status(thm)],[])).
% 4.78/3.63 tff(10837,plain,
% 4.78/3.63 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s132, c_t1)) | (~m_main_v_state1(s132, c_c1))),
% 4.78/3.63 inference(modus_ponens,[status(thm)],[10836, 10835])).
% 4.78/3.63 tff(10838,plain,
% 4.78/3.63 (~m_main_v_state1(s132, c_c1)),
% 4.78/3.63 inference(unit_resolution,[status(thm)],[10837, 539, 10826])).
% 4.78/3.63 tff(10839,plain,
% 4.78/3.63 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s132, c_c1) | (~node10(s132)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s132, c_c1) | (~node10(s132)))),
% 4.78/3.63 inference(rewrite,[status(thm)],[])).
% 4.78/3.63 tff(10840,plain,
% 4.78/3.63 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s132, c_c1) | (~node10(s132)))),
% 4.78/3.63 inference(quant_inst,[status(thm)],[])).
% 4.78/3.63 tff(10841,plain,
% 4.78/3.63 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s132, c_c1) | (~node10(s132))),
% 4.78/3.63 inference(modus_ponens,[status(thm)],[10840, 10839])).
% 4.78/3.63 tff(10842,plain,
% 4.78/3.63 (~node10(s132)),
% 4.78/3.63 inference(unit_resolution,[status(thm)],[10841, 675, 10838])).
% 4.78/3.63 tff(10843,plain,
% 4.78/3.63 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s132, c_n1) | (~node9(s132)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s132, c_n1) | (~node9(s132)))),
% 4.78/3.63 inference(rewrite,[status(thm)],[])).
% 4.78/3.63 tff(10844,plain,
% 4.78/3.63 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s132, c_n1) | (~node9(s132)))),
% 4.78/3.63 inference(quant_inst,[status(thm)],[])).
% 4.78/3.63 tff(10845,plain,
% 4.78/3.63 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s132, c_n1) | (~node9(s132))),
% 4.78/3.63 inference(modus_ponens,[status(thm)],[10844, 10843])).
% 4.78/3.63 tff(10846,plain,
% 4.78/3.63 (~node9(s132)),
% 4.78/3.63 inference(unit_resolution,[status(thm)],[10845, 686, 10830])).
% 4.78/3.63 tff(10847,plain,
% 4.78/3.63 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s132, c_n2)) | (~m_main_v_state2(s132, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s132, c_n2)) | (~m_main_v_state2(s132, c_c2)))),
% 4.78/3.64 inference(rewrite,[status(thm)],[])).
% 4.78/3.64 tff(10848,plain,
% 4.78/3.64 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s132, c_n2)) | (~m_main_v_state2(s132, c_c2)))),
% 4.78/3.64 inference(quant_inst,[status(thm)],[])).
% 4.78/3.64 tff(10849,plain,
% 4.78/3.64 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s132, c_n2)) | (~m_main_v_state2(s132, c_c2))),
% 4.78/3.64 inference(modus_ponens,[status(thm)],[10848, 10847])).
% 4.78/3.64 tff(10850,plain,
% 4.78/3.64 (~m_main_v_state2(s132, c_n2)),
% 4.78/3.64 inference(unit_resolution,[status(thm)],[10849, 697, 10809])).
% 4.78/3.64 tff(10851,plain,
% 4.78/3.64 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s132, c_n2) | (~node8(s132)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s132, c_n2) | (~node8(s132)))),
% 4.78/3.64 inference(rewrite,[status(thm)],[])).
% 4.78/3.64 tff(10852,plain,
% 4.78/3.64 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s132, c_n2) | (~node8(s132)))),
% 4.78/3.64 inference(quant_inst,[status(thm)],[])).
% 4.78/3.64 tff(10853,plain,
% 4.78/3.64 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s132, c_n2) | (~node8(s132))),
% 4.78/3.64 inference(modus_ponens,[status(thm)],[10852, 10851])).
% 4.78/3.64 tff(10854,plain,
% 4.78/3.64 (~node8(s132)),
% 4.78/3.64 inference(unit_resolution,[status(thm)],[10853, 271, 10850])).
% 4.78/3.64 tff(10855,plain,
% 4.78/3.64 (succ(s132, s133) <=> succ(s132, s133)),
% 4.78/3.64 inference(rewrite,[status(thm)],[])).
% 4.78/3.64 tff(10856,axiom,(succ(s132, s133)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound133')).
% 4.78/3.64 tff(10857,plain,
% 4.78/3.64 (succ(s132, s133)),
% 4.78/3.64 inference(modus_ponens,[status(thm)],[10856, 10855])).
% 4.78/3.64 tff(10858,plain,
% 4.78/3.64 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s132, s133)) | trans(s132, s133))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s132, s133)) | trans(s132, s133))),
% 4.78/3.64 inference(rewrite,[status(thm)],[])).
% 4.78/3.64 tff(10859,plain,
% 4.78/3.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s132, s133)) | trans(s132, s133))),
% 4.78/3.64 inference(quant_inst,[status(thm)],[])).
% 4.78/3.64 tff(10860,plain,
% 4.78/3.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s132, s133)) | trans(s132, s133)),
% 4.78/3.64 inference(modus_ponens,[status(thm)],[10859, 10858])).
% 4.78/3.64 tff(10861,plain,
% 4.78/3.64 (trans(s132, s133)),
% 4.78/3.64 inference(unit_resolution,[status(thm)],[10860, 10857, 32])).
% 4.78/3.64 tff(10862,plain,
% 4.78/3.64 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s132, s133)) | node14(s132, s133))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s132, s133)) | node14(s132, s133))),
% 4.78/3.64 inference(rewrite,[status(thm)],[])).
% 4.78/3.64 tff(10863,plain,
% 4.78/3.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s132, s133)) | node14(s132, s133))),
% 4.78/3.64 inference(quant_inst,[status(thm)],[])).
% 4.78/3.64 tff(10864,plain,
% 4.78/3.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s132, s133)) | node14(s132, s133)),
% 4.78/3.64 inference(modus_ponens,[status(thm)],[10863, 10862])).
% 4.78/3.64 tff(10865,plain,
% 4.78/3.64 (node14(s132, s133)),
% 4.78/3.64 inference(unit_resolution,[status(thm)],[10864, 46, 10861])).
% 4.78/3.64 tff(10866,plain,
% 4.78/3.64 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s133, c_n2) | node9(s132) | node8(s132) | node10(s132) | node11(s132) | node12(s132) | (~node14(s132, s133)) | (~m_main_v_state2(s132, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s133, c_n2) | node9(s132) | node8(s132) | node10(s132) | node11(s132) | node12(s132) | (~node14(s132, s133)) | (~m_main_v_state2(s132, c_c2)))),
% 4.78/3.64 inference(rewrite,[status(thm)],[])).
% 4.78/3.64 tff(10867,plain,
% 4.78/3.64 (((~m_main_v_state2(s132, c_c2)) | node9(s132) | node8(s132) | node10(s132) | node11(s132) | node12(s132) | (~node14(s132, s133)) | m_main_v_state2(s133, c_n2)) <=> (m_main_v_state2(s133, c_n2) | node9(s132) | node8(s132) | node10(s132) | node11(s132) | node12(s132) | (~node14(s132, s133)) | (~m_main_v_state2(s132, c_c2)))),
% 4.78/3.64 inference(rewrite,[status(thm)],[])).
% 4.78/3.64 tff(10868,plain,
% 4.78/3.64 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s132, c_c2)) | node9(s132) | node8(s132) | node10(s132) | node11(s132) | node12(s132) | (~node14(s132, s133)) | m_main_v_state2(s133, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s133, c_n2) | node9(s132) | node8(s132) | node10(s132) | node11(s132) | node12(s132) | (~node14(s132, s133)) | (~m_main_v_state2(s132, c_c2))))),
% 4.78/3.64 inference(monotonicity,[status(thm)],[10867])).
% 4.78/3.64 tff(10869,plain,
% 4.78/3.64 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s132, c_c2)) | node9(s132) | node8(s132) | node10(s132) | node11(s132) | node12(s132) | (~node14(s132, s133)) | m_main_v_state2(s133, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s133, c_n2) | node9(s132) | node8(s132) | node10(s132) | node11(s132) | node12(s132) | (~node14(s132, s133)) | (~m_main_v_state2(s132, c_c2)))),
% 4.78/3.64 inference(transitivity,[status(thm)],[10868, 10866])).
% 4.78/3.64 tff(10870,plain,
% 4.78/3.64 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s132, c_c2)) | node9(s132) | node8(s132) | node10(s132) | node11(s132) | node12(s132) | (~node14(s132, s133)) | m_main_v_state2(s133, c_n2))),
% 4.78/3.64 inference(quant_inst,[status(thm)],[])).
% 4.78/3.64 tff(10871,plain,
% 4.78/3.64 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s133, c_n2) | node9(s132) | node8(s132) | node10(s132) | node11(s132) | node12(s132) | (~node14(s132, s133)) | (~m_main_v_state2(s132, c_c2))),
% 4.78/3.64 inference(modus_ponens,[status(thm)],[10870, 10869])).
% 4.78/3.64 tff(10872,plain,
% 4.78/3.64 (m_main_v_state2(s133, c_n2) | node9(s132) | node8(s132) | node10(s132) | node11(s132) | node12(s132) | (~m_main_v_state2(s132, c_c2))),
% 4.78/3.64 inference(unit_resolution,[status(thm)],[10871, 726, 10865])).
% 4.78/3.64 tff(10873,plain,
% 4.78/3.64 (m_main_v_state2(s133, c_n2)),
% 4.78/3.64 inference(unit_resolution,[status(thm)],[10872, 10854, 10809, 10846, 10842, 10834, 10817])).
% 4.78/3.64 tff(10874,plain,
% 4.78/3.64 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s133, c_n2)) | (~m_main_v_state2(s133, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s133, c_n2)) | (~m_main_v_state2(s133, c_c2)))),
% 4.78/3.64 inference(rewrite,[status(thm)],[])).
% 4.78/3.64 tff(10875,plain,
% 4.78/3.64 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s133, c_n2)) | (~m_main_v_state2(s133, c_c2)))),
% 4.78/3.64 inference(quant_inst,[status(thm)],[])).
% 4.78/3.64 tff(10876,plain,
% 4.78/3.64 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s133, c_n2)) | (~m_main_v_state2(s133, c_c2))),
% 4.78/3.64 inference(modus_ponens,[status(thm)],[10875, 10874])).
% 4.78/3.64 tff(10877,plain,
% 4.78/3.64 (~m_main_v_state2(s133, c_c2)),
% 4.78/3.64 inference(unit_resolution,[status(thm)],[10876, 697, 10873])).
% 4.78/3.64 tff(10878,plain,
% 4.78/3.64 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s133, c_c2) | (~node3(s133)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s133, c_c2) | (~node3(s133)))),
% 4.78/3.64 inference(rewrite,[status(thm)],[])).
% 4.78/3.64 tff(10879,plain,
% 4.78/3.64 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s133, c_c2) | (~node3(s133)))),
% 4.78/3.64 inference(quant_inst,[status(thm)],[])).
% 4.78/3.64 tff(10880,plain,
% 4.78/3.64 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s133, c_c2) | (~node3(s133))),
% 4.78/3.64 inference(modus_ponens,[status(thm)],[10879, 10878])).
% 4.78/3.64 tff(10881,plain,
% 4.78/3.64 (~node3(s133)),
% 4.78/3.64 inference(unit_resolution,[status(thm)],[10880, 399, 10877])).
% 4.78/3.64 tff(10882,plain,
% 4.78/3.64 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s132, c_n1) | (~node1(s132)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s132, c_n1) | (~node1(s132)))),
% 4.78/3.64 inference(rewrite,[status(thm)],[])).
% 4.78/3.64 tff(10883,plain,
% 4.78/3.64 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s132, c_n1) | (~node1(s132)))),
% 4.78/3.64 inference(quant_inst,[status(thm)],[])).
% 4.78/3.64 tff(10884,plain,
% 4.78/3.64 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s132, c_n1) | (~node1(s132))),
% 4.78/3.64 inference(modus_ponens,[status(thm)],[10883, 10882])).
% 4.78/3.64 tff(10885,plain,
% 4.78/3.64 (~node1(s132)),
% 4.78/3.64 inference(unit_resolution,[status(thm)],[10884, 421, 10830])).
% 4.78/3.64 tff(10886,plain,
% 4.78/3.64 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s131, s132)) | node18(s131, s132))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s131, s132)) | node18(s131, s132))),
% 4.78/3.64 inference(rewrite,[status(thm)],[])).
% 4.78/3.64 tff(10887,plain,
% 4.78/3.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s131, s132)) | node18(s131, s132))),
% 4.78/3.64 inference(quant_inst,[status(thm)],[])).
% 4.78/3.64 tff(10888,plain,
% 4.78/3.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s131, s132)) | node18(s131, s132)),
% 4.78/3.64 inference(modus_ponens,[status(thm)],[10887, 10886])).
% 4.78/3.64 tff(10889,plain,
% 4.78/3.64 (node18(s131, s132)),
% 4.78/3.64 inference(unit_resolution,[status(thm)],[10888, 125, 10800])).
% 4.78/3.64 tff(10890,plain,
% 4.78/3.64 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s131, c_n1)) | (~m_main_v_state2(s131, c_t2)) | (~node18(s131, s132)) | m_main_v_turn(s132, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s131, c_n1)) | (~m_main_v_state2(s131, c_t2)) | (~node18(s131, s132)) | m_main_v_turn(s132, c_2))),
% 4.78/3.64 inference(rewrite,[status(thm)],[])).
% 4.78/3.64 tff(10891,plain,
% 4.78/3.64 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s131, c_n1)) | (~m_main_v_state2(s131, c_t2)) | (~node18(s131, s132)) | m_main_v_turn(s132, c_2))),
% 4.78/3.64 inference(quant_inst,[status(thm)],[])).
% 4.78/3.64 tff(10892,plain,
% 4.78/3.64 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s131, c_n1)) | (~m_main_v_state2(s131, c_t2)) | (~node18(s131, s132)) | m_main_v_turn(s132, c_2)),
% 4.78/3.64 inference(modus_ponens,[status(thm)],[10891, 10890])).
% 4.78/3.64 tff(10893,plain,
% 4.78/3.64 ((~m_main_v_state1(s131, c_n1)) | (~m_main_v_state2(s131, c_t2)) | m_main_v_turn(s132, c_2)),
% 4.78/3.64 inference(unit_resolution,[status(thm)],[10892, 760, 10889])).
% 4.78/3.64 tff(10894,plain,
% 4.78/3.64 (m_main_v_turn(s132, c_2)),
% 4.78/3.64 inference(unit_resolution,[status(thm)],[10893, 10753, 10789])).
% 4.78/3.64 tff(10895,plain,
% 4.78/3.64 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s132, c_1)) | (~m_main_v_turn(s132, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s132, c_1)) | (~m_main_v_turn(s132, c_2)))),
% 4.78/3.64 inference(rewrite,[status(thm)],[])).
% 4.78/3.64 tff(10896,plain,
% 4.78/3.64 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s132, c_1)) | (~m_main_v_turn(s132, c_2)))),
% 4.78/3.64 inference(quant_inst,[status(thm)],[])).
% 4.78/3.64 tff(10897,plain,
% 4.78/3.64 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s132, c_1)) | (~m_main_v_turn(s132, c_2))),
% 4.78/3.64 inference(modus_ponens,[status(thm)],[10896, 10895])).
% 4.78/3.64 tff(10898,plain,
% 4.78/3.64 (~m_main_v_turn(s132, c_1)),
% 4.78/3.64 inference(unit_resolution,[status(thm)],[10897, 156, 10894])).
% 4.78/3.64 tff(10899,plain,
% 4.78/3.64 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s132, c_1) | (~node5(s132)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s132, c_1) | (~node5(s132)))),
% 4.78/3.64 inference(rewrite,[status(thm)],[])).
% 4.78/3.64 tff(10900,plain,
% 4.78/3.64 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s132, c_1) | (~node5(s132)))),
% 4.78/3.64 inference(quant_inst,[status(thm)],[])).
% 4.78/3.64 tff(10901,plain,
% 4.78/3.64 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s132, c_1) | (~node5(s132))),
% 4.78/3.64 inference(modus_ponens,[status(thm)],[10900, 10899])).
% 4.78/3.64 tff(10902,plain,
% 4.78/3.64 (~node5(s132)),
% 4.78/3.64 inference(unit_resolution,[status(thm)],[10901, 776, 10898])).
% 4.78/3.64 tff(10903,plain,
% 4.78/3.64 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s132, c_n1) | (~node2(s132)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s132, c_n1) | (~node2(s132)))),
% 4.78/3.64 inference(rewrite,[status(thm)],[])).
% 4.78/3.64 tff(10904,plain,
% 4.78/3.64 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s132, c_n1) | (~node2(s132)))),
% 4.78/3.64 inference(quant_inst,[status(thm)],[])).
% 4.78/3.64 tff(10905,plain,
% 4.78/3.64 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s132, c_n1) | (~node2(s132))),
% 4.78/3.64 inference(modus_ponens,[status(thm)],[10904, 10903])).
% 4.78/3.64 tff(10906,plain,
% 4.78/3.64 (~node2(s132)),
% 4.78/3.64 inference(unit_resolution,[status(thm)],[10905, 787, 10830])).
% 4.78/3.64 tff(10907,plain,
% 4.78/3.64 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s132, c_n1) | (~node3(s132)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s132, c_n1) | (~node3(s132)))),
% 4.78/3.64 inference(rewrite,[status(thm)],[])).
% 4.78/3.64 tff(10908,plain,
% 4.78/3.64 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s132, c_n1) | (~node3(s132)))),
% 4.78/3.64 inference(quant_inst,[status(thm)],[])).
% 4.78/3.64 tff(10909,plain,
% 4.78/3.64 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s132, c_n1) | (~node3(s132))),
% 4.78/3.64 inference(modus_ponens,[status(thm)],[10908, 10907])).
% 4.78/3.64 tff(10910,plain,
% 4.78/3.64 (~node3(s132)),
% 4.78/3.64 inference(unit_resolution,[status(thm)],[10909, 798, 10830])).
% 4.78/3.64 tff(10911,plain,
% 4.78/3.64 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s132, c_n2) | (~node4(s132)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s132, c_n2) | (~node4(s132)))),
% 4.78/3.64 inference(rewrite,[status(thm)],[])).
% 4.78/3.64 tff(10912,plain,
% 4.78/3.64 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s132, c_n2) | (~node4(s132)))),
% 4.78/3.64 inference(quant_inst,[status(thm)],[])).
% 4.78/3.64 tff(10913,plain,
% 4.78/3.64 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s132, c_n2) | (~node4(s132))),
% 4.78/3.64 inference(modus_ponens,[status(thm)],[10912, 10911])).
% 4.78/3.64 tff(10914,plain,
% 4.78/3.64 (~node4(s132)),
% 4.78/3.64 inference(unit_resolution,[status(thm)],[10913, 388, 10850])).
% 4.78/3.64 tff(10915,plain,
% 4.78/3.64 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s132, s133)) | node7(s132, s133))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s132, s133)) | node7(s132, s133))),
% 4.78/3.64 inference(rewrite,[status(thm)],[])).
% 4.78/3.64 tff(10916,plain,
% 4.78/3.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s132, s133)) | node7(s132, s133))),
% 4.78/3.64 inference(quant_inst,[status(thm)],[])).
% 4.78/3.64 tff(10917,plain,
% 4.78/3.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s132, s133)) | node7(s132, s133)),
% 4.78/3.64 inference(modus_ponens,[status(thm)],[10916, 10915])).
% 4.78/3.64 tff(10918,plain,
% 4.78/3.64 (node7(s132, s133)),
% 4.78/3.64 inference(unit_resolution,[status(thm)],[10917, 206, 10861])).
% 4.78/3.64 tff(10919,plain,
% 4.78/3.64 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s132, c_c1) | node1(s132) | node2(s132) | node3(s132) | node4(s132) | node5(s132) | node6(s132, s133) | (~node7(s132, s133)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s132, c_c1) | node1(s132) | node2(s132) | node3(s132) | node4(s132) | node5(s132) | node6(s132, s133) | (~node7(s132, s133)))),
% 4.78/3.64 inference(rewrite,[status(thm)],[])).
% 4.78/3.64 tff(10920,plain,
% 4.78/3.64 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s132, c_c1) | node1(s132) | node2(s132) | node3(s132) | node4(s132) | node5(s132) | node6(s132, s133) | (~node7(s132, s133)))),
% 4.78/3.64 inference(quant_inst,[status(thm)],[])).
% 4.78/3.64 tff(10921,plain,
% 4.78/3.64 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s132, c_c1) | node1(s132) | node2(s132) | node3(s132) | node4(s132) | node5(s132) | node6(s132, s133) | (~node7(s132, s133))),
% 4.78/3.64 inference(modus_ponens,[status(thm)],[10920, 10919])).
% 4.78/3.64 tff(10922,plain,
% 4.78/3.64 (m_main_v_state1(s132, c_c1) | node1(s132) | node2(s132) | node3(s132) | node4(s132) | node5(s132) | node6(s132, s133)),
% 4.78/3.64 inference(unit_resolution,[status(thm)],[10921, 820, 10918])).
% 4.78/3.64 tff(10923,plain,
% 4.78/3.64 (node6(s132, s133)),
% 4.78/3.64 inference(unit_resolution,[status(thm)],[10922, 10914, 10838, 10910, 10906, 10902, 10885])).
% 4.78/3.64 tff(10924,plain,
% 4.78/3.64 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s132, c_n1) | (~m_main_v_state1(s133, c_n1)) | (~node6(s132, s133)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s132, c_n1) | (~m_main_v_state1(s133, c_n1)) | (~node6(s132, s133)))),
% 4.78/3.64 inference(rewrite,[status(thm)],[])).
% 4.78/3.64 tff(10925,plain,
% 4.78/3.64 (((~node6(s132, s133)) | m_main_v_state1(s132, c_n1) | (~m_main_v_state1(s133, c_n1))) <=> (m_main_v_state1(s132, c_n1) | (~m_main_v_state1(s133, c_n1)) | (~node6(s132, s133)))),
% 4.78/3.64 inference(rewrite,[status(thm)],[])).
% 4.78/3.64 tff(10926,plain,
% 4.78/3.64 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s132, s133)) | m_main_v_state1(s132, c_n1) | (~m_main_v_state1(s133, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s132, c_n1) | (~m_main_v_state1(s133, c_n1)) | (~node6(s132, s133))))),
% 4.78/3.64 inference(monotonicity,[status(thm)],[10925])).
% 4.78/3.64 tff(10927,plain,
% 4.78/3.64 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s132, s133)) | m_main_v_state1(s132, c_n1) | (~m_main_v_state1(s133, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s132, c_n1) | (~m_main_v_state1(s133, c_n1)) | (~node6(s132, s133)))),
% 4.78/3.64 inference(transitivity,[status(thm)],[10926, 10924])).
% 4.78/3.64 tff(10928,plain,
% 4.78/3.64 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s132, s133)) | m_main_v_state1(s132, c_n1) | (~m_main_v_state1(s133, c_n1)))),
% 4.78/3.64 inference(quant_inst,[status(thm)],[])).
% 4.78/3.64 tff(10929,plain,
% 4.78/3.64 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s132, c_n1) | (~m_main_v_state1(s133, c_n1)) | (~node6(s132, s133))),
% 4.78/3.64 inference(modus_ponens,[status(thm)],[10928, 10927])).
% 4.78/3.64 tff(10930,plain,
% 4.78/3.64 (~m_main_v_state1(s133, c_n1)),
% 4.78/3.64 inference(unit_resolution,[status(thm)],[10929, 835, 10830, 10923])).
% 4.78/3.64 tff(10931,plain,
% 4.78/3.64 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s133, c_n1) | (~node2(s133)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s133, c_n1) | (~node2(s133)))),
% 4.78/3.64 inference(rewrite,[status(thm)],[])).
% 4.78/3.64 tff(10932,plain,
% 4.78/3.64 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s133, c_n1) | (~node2(s133)))),
% 4.78/3.64 inference(quant_inst,[status(thm)],[])).
% 4.78/3.64 tff(10933,plain,
% 4.78/3.64 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s133, c_n1) | (~node2(s133))),
% 4.78/3.64 inference(modus_ponens,[status(thm)],[10932, 10931])).
% 4.78/3.64 tff(10934,plain,
% 4.78/3.64 (~node2(s133)),
% 4.78/3.64 inference(unit_resolution,[status(thm)],[10933, 787, 10930])).
% 4.78/3.64 tff(10935,plain,
% 4.78/3.64 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s132, c_t1)) | m_main_v_state1(s133, c_t1) | (~node6(s132, s133)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s132, c_t1)) | m_main_v_state1(s133, c_t1) | (~node6(s132, s133)))),
% 4.78/3.64 inference(rewrite,[status(thm)],[])).
% 4.78/3.64 tff(10936,plain,
% 4.78/3.64 (((~node6(s132, s133)) | (~m_main_v_state1(s132, c_t1)) | m_main_v_state1(s133, c_t1)) <=> ((~m_main_v_state1(s132, c_t1)) | m_main_v_state1(s133, c_t1) | (~node6(s132, s133)))),
% 4.78/3.64 inference(rewrite,[status(thm)],[])).
% 4.78/3.64 tff(10937,plain,
% 4.78/3.64 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s132, s133)) | (~m_main_v_state1(s132, c_t1)) | m_main_v_state1(s133, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s132, c_t1)) | m_main_v_state1(s133, c_t1) | (~node6(s132, s133))))),
% 4.78/3.64 inference(monotonicity,[status(thm)],[10936])).
% 4.78/3.64 tff(10938,plain,
% 4.78/3.64 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s132, s133)) | (~m_main_v_state1(s132, c_t1)) | m_main_v_state1(s133, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s132, c_t1)) | m_main_v_state1(s133, c_t1) | (~node6(s132, s133)))),
% 4.78/3.64 inference(transitivity,[status(thm)],[10937, 10935])).
% 4.78/3.64 tff(10939,plain,
% 4.78/3.64 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s132, s133)) | (~m_main_v_state1(s132, c_t1)) | m_main_v_state1(s133, c_t1))),
% 4.78/3.64 inference(quant_inst,[status(thm)],[])).
% 4.78/3.64 tff(10940,plain,
% 4.78/3.64 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s132, c_t1)) | m_main_v_state1(s133, c_t1) | (~node6(s132, s133))),
% 4.78/3.64 inference(modus_ponens,[status(thm)],[10939, 10938])).
% 4.78/3.64 tff(10941,plain,
% 4.78/3.64 (m_main_v_state1(s133, c_t1)),
% 4.78/3.64 inference(unit_resolution,[status(thm)],[10940, 856, 10826, 10923])).
% 4.78/3.64 tff(10942,plain,
% 4.78/3.64 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s133, c_n2)) | (~m_main_v_state2(s133, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s133, c_n2)) | (~m_main_v_state2(s133, c_t2)))),
% 4.78/3.64 inference(rewrite,[status(thm)],[])).
% 4.78/3.64 tff(10943,plain,
% 4.78/3.64 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s133, c_n2)) | (~m_main_v_state2(s133, c_t2)))),
% 4.78/3.64 inference(quant_inst,[status(thm)],[])).
% 4.78/3.64 tff(10944,plain,
% 4.78/3.64 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s133, c_n2)) | (~m_main_v_state2(s133, c_t2))),
% 4.78/3.64 inference(modus_ponens,[status(thm)],[10943, 10942])).
% 4.78/3.64 tff(10945,plain,
% 4.78/3.64 (~m_main_v_state2(s133, c_t2)),
% 4.78/3.64 inference(unit_resolution,[status(thm)],[10944, 77, 10873])).
% 4.78/3.64 tff(10946,plain,
% 4.78/3.64 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s133, c_t2) | (~node1(s133)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s133, c_t2) | (~node1(s133)))),
% 4.78/3.64 inference(rewrite,[status(thm)],[])).
% 4.78/3.64 tff(10947,plain,
% 4.78/3.64 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s133, c_t2) | (~node1(s133)))),
% 4.78/3.64 inference(quant_inst,[status(thm)],[])).
% 4.78/3.64 tff(10948,plain,
% 4.78/3.64 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s133, c_t2) | (~node1(s133))),
% 4.78/3.64 inference(modus_ponens,[status(thm)],[10947, 10946])).
% 4.78/3.64 tff(10949,plain,
% 4.78/3.64 (~node1(s133)),
% 4.78/3.64 inference(unit_resolution,[status(thm)],[10948, 195, 10945])).
% 4.78/3.64 tff(10950,plain,
% 4.78/3.64 (succ(s133, s134) <=> succ(s133, s134)),
% 4.78/3.64 inference(rewrite,[status(thm)],[])).
% 4.78/3.64 tff(10951,axiom,(succ(s133, s134)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound134')).
% 4.78/3.64 tff(10952,plain,
% 4.78/3.64 (succ(s133, s134)),
% 4.78/3.64 inference(modus_ponens,[status(thm)],[10951, 10950])).
% 4.78/3.64 tff(10953,plain,
% 4.78/3.64 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s133, s134)) | trans(s133, s134))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s133, s134)) | trans(s133, s134))),
% 4.78/3.64 inference(rewrite,[status(thm)],[])).
% 4.78/3.64 tff(10954,plain,
% 4.78/3.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s133, s134)) | trans(s133, s134))),
% 4.78/3.64 inference(quant_inst,[status(thm)],[])).
% 4.78/3.64 tff(10955,plain,
% 4.78/3.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s133, s134)) | trans(s133, s134)),
% 4.78/3.64 inference(modus_ponens,[status(thm)],[10954, 10953])).
% 4.78/3.64 tff(10956,plain,
% 4.78/3.64 (trans(s133, s134)),
% 4.78/3.64 inference(unit_resolution,[status(thm)],[10955, 10952, 32])).
% 4.78/3.64 tff(10957,plain,
% 4.78/3.64 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s133, s134)) | node7(s133, s134))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s133, s134)) | node7(s133, s134))),
% 4.78/3.64 inference(rewrite,[status(thm)],[])).
% 4.78/3.64 tff(10958,plain,
% 4.78/3.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s133, s134)) | node7(s133, s134))),
% 4.78/3.64 inference(quant_inst,[status(thm)],[])).
% 4.78/3.64 tff(10959,plain,
% 4.78/3.64 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s133, s134)) | node7(s133, s134)),
% 4.78/3.64 inference(modus_ponens,[status(thm)],[10958, 10957])).
% 4.78/3.64 tff(10960,plain,
% 4.78/3.64 (node7(s133, s134)),
% 4.78/3.64 inference(unit_resolution,[status(thm)],[10959, 206, 10956])).
% 4.78/3.64 tff(10961,plain,
% 4.78/3.64 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s133, c_t1)) | (~m_main_v_state2(s133, c_n2)) | m_main_v_state1(s134, c_c1) | node1(s133) | node2(s133) | node3(s133) | (~node7(s133, s134)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s133, c_t1)) | (~m_main_v_state2(s133, c_n2)) | m_main_v_state1(s134, c_c1) | node1(s133) | node2(s133) | node3(s133) | (~node7(s133, s134)))),
% 4.78/3.64 inference(rewrite,[status(thm)],[])).
% 4.78/3.64 tff(10962,plain,
% 4.78/3.64 (((~m_main_v_state1(s133, c_t1)) | (~m_main_v_state2(s133, c_n2)) | node1(s133) | node2(s133) | node3(s133) | (~node7(s133, s134)) | m_main_v_state1(s134, c_c1)) <=> ((~m_main_v_state1(s133, c_t1)) | (~m_main_v_state2(s133, c_n2)) | m_main_v_state1(s134, c_c1) | node1(s133) | node2(s133) | node3(s133) | (~node7(s133, s134)))),
% 4.78/3.64 inference(rewrite,[status(thm)],[])).
% 4.78/3.64 tff(10963,plain,
% 4.78/3.64 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s133, c_t1)) | (~m_main_v_state2(s133, c_n2)) | node1(s133) | node2(s133) | node3(s133) | (~node7(s133, s134)) | m_main_v_state1(s134, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s133, c_t1)) | (~m_main_v_state2(s133, c_n2)) | m_main_v_state1(s134, c_c1) | node1(s133) | node2(s133) | node3(s133) | (~node7(s133, s134))))),
% 4.78/3.64 inference(monotonicity,[status(thm)],[10962])).
% 4.78/3.64 tff(10964,plain,
% 4.78/3.64 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s133, c_t1)) | (~m_main_v_state2(s133, c_n2)) | node1(s133) | node2(s133) | node3(s133) | (~node7(s133, s134)) | m_main_v_state1(s134, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s133, c_t1)) | (~m_main_v_state2(s133, c_n2)) | m_main_v_state1(s134, c_c1) | node1(s133) | node2(s133) | node3(s133) | (~node7(s133, s134)))),
% 4.78/3.65 inference(transitivity,[status(thm)],[10963, 10961])).
% 4.78/3.65 tff(10965,plain,
% 4.78/3.65 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s133, c_t1)) | (~m_main_v_state2(s133, c_n2)) | node1(s133) | node2(s133) | node3(s133) | (~node7(s133, s134)) | m_main_v_state1(s134, c_c1))),
% 4.78/3.65 inference(quant_inst,[status(thm)],[])).
% 4.78/3.65 tff(10966,plain,
% 4.78/3.65 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s133, c_t1)) | (~m_main_v_state2(s133, c_n2)) | m_main_v_state1(s134, c_c1) | node1(s133) | node2(s133) | node3(s133) | (~node7(s133, s134))),
% 4.78/3.65 inference(modus_ponens,[status(thm)],[10965, 10964])).
% 4.78/3.65 tff(10967,plain,
% 4.78/3.65 ((~m_main_v_state1(s133, c_t1)) | (~m_main_v_state2(s133, c_n2)) | m_main_v_state1(s134, c_c1) | node1(s133) | node2(s133) | node3(s133)),
% 4.78/3.65 inference(unit_resolution,[status(thm)],[10966, 892, 10960])).
% 4.78/3.65 tff(10968,plain,
% 4.78/3.65 (m_main_v_state1(s134, c_c1)),
% 4.78/3.65 inference(unit_resolution,[status(thm)],[10967, 10949, 10873, 10941, 10934, 10881])).
% 4.78/3.65 tff(10969,plain,
% 4.78/3.65 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s134, c_t1)) | (~m_main_v_state1(s134, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s134, c_t1)) | (~m_main_v_state1(s134, c_c1)))),
% 4.78/3.65 inference(rewrite,[status(thm)],[])).
% 4.78/3.65 tff(10970,plain,
% 4.78/3.65 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s134, c_t1)) | (~m_main_v_state1(s134, c_c1)))),
% 4.78/3.65 inference(quant_inst,[status(thm)],[])).
% 4.78/3.65 tff(10971,plain,
% 4.78/3.65 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s134, c_t1)) | (~m_main_v_state1(s134, c_c1))),
% 4.78/3.65 inference(modus_ponens,[status(thm)],[10970, 10969])).
% 4.78/3.65 tff(10972,plain,
% 4.78/3.65 (~m_main_v_state1(s134, c_t1)),
% 4.78/3.65 inference(unit_resolution,[status(thm)],[10971, 539, 10968])).
% 4.78/3.65 tff(10973,plain,
% 4.78/3.65 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s134, c_t1) | (~node5(s134)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s134, c_t1) | (~node5(s134)))),
% 4.78/3.65 inference(rewrite,[status(thm)],[])).
% 4.78/3.65 tff(10974,plain,
% 4.78/3.65 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s134, c_t1) | (~node5(s134)))),
% 4.78/3.65 inference(quant_inst,[status(thm)],[])).
% 4.78/3.65 tff(10975,plain,
% 4.78/3.65 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s134, c_t1) | (~node5(s134))),
% 4.78/3.65 inference(modus_ponens,[status(thm)],[10974, 10973])).
% 4.78/3.65 tff(10976,plain,
% 4.78/3.65 (~node5(s134)),
% 4.78/3.65 inference(unit_resolution,[status(thm)],[10975, 550, 10972])).
% 4.78/3.65 tff(10977,plain,
% 4.78/3.65 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s133, s134)) | node14(s133, s134))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s133, s134)) | node14(s133, s134))),
% 4.78/3.65 inference(rewrite,[status(thm)],[])).
% 4.78/3.65 tff(10978,plain,
% 4.78/3.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s133, s134)) | node14(s133, s134))),
% 4.78/3.65 inference(quant_inst,[status(thm)],[])).
% 4.78/3.65 tff(10979,plain,
% 4.78/3.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s133, s134)) | node14(s133, s134)),
% 4.78/3.65 inference(modus_ponens,[status(thm)],[10978, 10977])).
% 4.78/3.65 tff(10980,plain,
% 4.78/3.65 (node14(s133, s134)),
% 4.78/3.65 inference(unit_resolution,[status(thm)],[10979, 46, 10956])).
% 4.78/3.65 tff(10981,plain,
% 4.78/3.65 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s133, c_t1)) | (~m_main_v_state2(s133, c_n2)) | (~node14(s133, s134)) | m_main_v_state2(s134, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s133, c_t1)) | (~m_main_v_state2(s133, c_n2)) | (~node14(s133, s134)) | m_main_v_state2(s134, c_t2))),
% 4.78/3.65 inference(rewrite,[status(thm)],[])).
% 4.78/3.65 tff(10982,plain,
% 4.78/3.65 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s133, c_t1)) | (~m_main_v_state2(s133, c_n2)) | (~node14(s133, s134)) | m_main_v_state2(s134, c_t2))),
% 4.78/3.65 inference(quant_inst,[status(thm)],[])).
% 4.78/3.65 tff(10983,plain,
% 4.78/3.65 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s133, c_t1)) | (~m_main_v_state2(s133, c_n2)) | (~node14(s133, s134)) | m_main_v_state2(s134, c_t2)),
% 4.78/3.65 inference(modus_ponens,[status(thm)],[10982, 10981])).
% 4.78/3.65 tff(10984,plain,
% 4.78/3.65 ((~m_main_v_state1(s133, c_t1)) | (~m_main_v_state2(s133, c_n2)) | m_main_v_state2(s134, c_t2)),
% 4.78/3.65 inference(unit_resolution,[status(thm)],[10983, 922, 10980])).
% 4.78/3.65 tff(10985,plain,
% 4.78/3.65 (m_main_v_state2(s134, c_t2)),
% 4.78/3.65 inference(unit_resolution,[status(thm)],[10984, 10941, 10873])).
% 4.78/3.65 tff(10986,plain,
% 4.78/3.65 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s134, c_n2)) | (~m_main_v_state2(s134, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s134, c_n2)) | (~m_main_v_state2(s134, c_t2)))),
% 4.78/3.65 inference(rewrite,[status(thm)],[])).
% 4.78/3.65 tff(10987,plain,
% 4.78/3.65 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s134, c_n2)) | (~m_main_v_state2(s134, c_t2)))),
% 4.78/3.65 inference(quant_inst,[status(thm)],[])).
% 4.78/3.65 tff(10988,plain,
% 4.78/3.65 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s134, c_n2)) | (~m_main_v_state2(s134, c_t2))),
% 4.78/3.65 inference(modus_ponens,[status(thm)],[10987, 10986])).
% 4.78/3.65 tff(10989,plain,
% 4.78/3.65 (~m_main_v_state2(s134, c_n2)),
% 4.78/3.65 inference(unit_resolution,[status(thm)],[10988, 77, 10985])).
% 4.78/3.65 tff(10990,plain,
% 4.78/3.65 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s134, c_n2) | (~node4(s134)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s134, c_n2) | (~node4(s134)))),
% 4.78/3.65 inference(rewrite,[status(thm)],[])).
% 4.78/3.65 tff(10991,plain,
% 4.78/3.65 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s134, c_n2) | (~node4(s134)))),
% 4.78/3.65 inference(quant_inst,[status(thm)],[])).
% 4.78/3.65 tff(10992,plain,
% 4.78/3.65 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s134, c_n2) | (~node4(s134))),
% 4.78/3.65 inference(modus_ponens,[status(thm)],[10991, 10990])).
% 4.78/3.65 tff(10993,plain,
% 4.78/3.65 (~node4(s134)),
% 4.78/3.65 inference(unit_resolution,[status(thm)],[10992, 388, 10989])).
% 4.78/3.65 tff(10994,plain,
% 4.78/3.65 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s134, c_t2)) | (~m_main_v_state2(s134, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s134, c_t2)) | (~m_main_v_state2(s134, c_c2)))),
% 4.78/3.65 inference(rewrite,[status(thm)],[])).
% 4.78/3.65 tff(10995,plain,
% 4.78/3.65 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s134, c_t2)) | (~m_main_v_state2(s134, c_c2)))),
% 4.78/3.65 inference(quant_inst,[status(thm)],[])).
% 4.78/3.65 tff(10996,plain,
% 4.78/3.65 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s134, c_t2)) | (~m_main_v_state2(s134, c_c2))),
% 4.78/3.65 inference(modus_ponens,[status(thm)],[10995, 10994])).
% 4.78/3.65 tff(10997,plain,
% 4.78/3.65 (~m_main_v_state2(s134, c_c2)),
% 4.78/3.65 inference(unit_resolution,[status(thm)],[10996, 260, 10985])).
% 4.78/3.65 tff(10998,plain,
% 4.78/3.65 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s134, c_c2) | (~node3(s134)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s134, c_c2) | (~node3(s134)))),
% 4.78/3.65 inference(rewrite,[status(thm)],[])).
% 4.78/3.65 tff(10999,plain,
% 4.78/3.65 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s134, c_c2) | (~node3(s134)))),
% 4.78/3.65 inference(quant_inst,[status(thm)],[])).
% 4.78/3.65 tff(11000,plain,
% 4.78/3.65 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s134, c_c2) | (~node3(s134))),
% 4.78/3.65 inference(modus_ponens,[status(thm)],[10999, 10998])).
% 4.78/3.65 tff(11001,plain,
% 4.78/3.65 (~node3(s134)),
% 4.78/3.65 inference(unit_resolution,[status(thm)],[11000, 399, 10997])).
% 4.78/3.65 tff(11002,plain,
% 4.78/3.65 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s134, c_n2) | (~node2(s134)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s134, c_n2) | (~node2(s134)))),
% 4.78/3.65 inference(rewrite,[status(thm)],[])).
% 4.78/3.65 tff(11003,plain,
% 4.78/3.65 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s134, c_n2) | (~node2(s134)))),
% 4.78/3.65 inference(quant_inst,[status(thm)],[])).
% 4.78/3.65 tff(11004,plain,
% 4.78/3.65 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s134, c_n2) | (~node2(s134))),
% 4.78/3.65 inference(modus_ponens,[status(thm)],[11003, 11002])).
% 4.78/3.65 tff(11005,plain,
% 4.78/3.65 (~node2(s134)),
% 4.78/3.65 inference(unit_resolution,[status(thm)],[11004, 410, 10989])).
% 4.78/3.65 tff(11006,plain,
% 4.78/3.65 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s134, c_n1)) | (~m_main_v_state1(s134, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s134, c_n1)) | (~m_main_v_state1(s134, c_c1)))),
% 4.78/3.65 inference(rewrite,[status(thm)],[])).
% 4.78/3.65 tff(11007,plain,
% 4.78/3.65 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s134, c_n1)) | (~m_main_v_state1(s134, c_c1)))),
% 4.78/3.65 inference(quant_inst,[status(thm)],[])).
% 4.78/3.65 tff(11008,plain,
% 4.78/3.65 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s134, c_n1)) | (~m_main_v_state1(s134, c_c1))),
% 4.78/3.65 inference(modus_ponens,[status(thm)],[11007, 11006])).
% 4.78/3.65 tff(11009,plain,
% 4.78/3.65 (~m_main_v_state1(s134, c_n1)),
% 4.78/3.65 inference(unit_resolution,[status(thm)],[11008, 454, 10968])).
% 4.78/3.65 tff(11010,plain,
% 4.78/3.65 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s134, c_n1) | (~node1(s134)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s134, c_n1) | (~node1(s134)))),
% 4.78/3.65 inference(rewrite,[status(thm)],[])).
% 4.78/3.65 tff(11011,plain,
% 4.78/3.65 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s134, c_n1) | (~node1(s134)))),
% 4.78/3.65 inference(quant_inst,[status(thm)],[])).
% 4.78/3.65 tff(11012,plain,
% 4.78/3.65 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s134, c_n1) | (~node1(s134))),
% 4.78/3.65 inference(modus_ponens,[status(thm)],[11011, 11010])).
% 4.78/3.65 tff(11013,plain,
% 4.78/3.65 (~node1(s134)),
% 4.78/3.65 inference(unit_resolution,[status(thm)],[11012, 421, 11009])).
% 4.78/3.65 tff(11014,plain,
% 4.78/3.65 (succ(s134, s135) <=> succ(s134, s135)),
% 4.78/3.65 inference(rewrite,[status(thm)],[])).
% 4.78/3.65 tff(11015,axiom,(succ(s134, s135)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound135')).
% 4.78/3.65 tff(11016,plain,
% 4.78/3.65 (succ(s134, s135)),
% 4.78/3.65 inference(modus_ponens,[status(thm)],[11015, 11014])).
% 4.78/3.65 tff(11017,plain,
% 4.78/3.65 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s134, s135)) | trans(s134, s135))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s134, s135)) | trans(s134, s135))),
% 4.78/3.65 inference(rewrite,[status(thm)],[])).
% 4.78/3.65 tff(11018,plain,
% 4.78/3.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s134, s135)) | trans(s134, s135))),
% 4.78/3.65 inference(quant_inst,[status(thm)],[])).
% 4.78/3.65 tff(11019,plain,
% 4.78/3.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s134, s135)) | trans(s134, s135)),
% 4.78/3.65 inference(modus_ponens,[status(thm)],[11018, 11017])).
% 4.78/3.65 tff(11020,plain,
% 4.78/3.65 (trans(s134, s135)),
% 4.78/3.65 inference(unit_resolution,[status(thm)],[11019, 11016, 32])).
% 4.78/3.65 tff(11021,plain,
% 4.78/3.65 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s134, s135)) | node7(s134, s135))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s134, s135)) | node7(s134, s135))),
% 4.78/3.65 inference(rewrite,[status(thm)],[])).
% 4.78/3.65 tff(11022,plain,
% 4.78/3.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s134, s135)) | node7(s134, s135))),
% 4.78/3.65 inference(quant_inst,[status(thm)],[])).
% 4.78/3.65 tff(11023,plain,
% 4.78/3.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s134, s135)) | node7(s134, s135)),
% 4.78/3.65 inference(modus_ponens,[status(thm)],[11022, 11021])).
% 4.78/3.65 tff(11024,plain,
% 4.78/3.65 (node7(s134, s135)),
% 4.78/3.65 inference(unit_resolution,[status(thm)],[11023, 206, 11020])).
% 4.78/3.65 tff(11025,plain,
% 4.78/3.65 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s135, c_n1) | (~m_main_v_state1(s134, c_c1)) | node1(s134) | node2(s134) | node3(s134) | node4(s134) | node5(s134) | (~node7(s134, s135)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s135, c_n1) | (~m_main_v_state1(s134, c_c1)) | node1(s134) | node2(s134) | node3(s134) | node4(s134) | node5(s134) | (~node7(s134, s135)))),
% 4.78/3.65 inference(rewrite,[status(thm)],[])).
% 4.78/3.65 tff(11026,plain,
% 4.78/3.65 (((~m_main_v_state1(s134, c_c1)) | node1(s134) | node2(s134) | node3(s134) | node4(s134) | node5(s134) | (~node7(s134, s135)) | m_main_v_state1(s135, c_n1)) <=> (m_main_v_state1(s135, c_n1) | (~m_main_v_state1(s134, c_c1)) | node1(s134) | node2(s134) | node3(s134) | node4(s134) | node5(s134) | (~node7(s134, s135)))),
% 4.78/3.65 inference(rewrite,[status(thm)],[])).
% 4.78/3.65 tff(11027,plain,
% 4.78/3.65 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s134, c_c1)) | node1(s134) | node2(s134) | node3(s134) | node4(s134) | node5(s134) | (~node7(s134, s135)) | m_main_v_state1(s135, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s135, c_n1) | (~m_main_v_state1(s134, c_c1)) | node1(s134) | node2(s134) | node3(s134) | node4(s134) | node5(s134) | (~node7(s134, s135))))),
% 4.78/3.65 inference(monotonicity,[status(thm)],[11026])).
% 4.78/3.65 tff(11028,plain,
% 4.78/3.65 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s134, c_c1)) | node1(s134) | node2(s134) | node3(s134) | node4(s134) | node5(s134) | (~node7(s134, s135)) | m_main_v_state1(s135, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s135, c_n1) | (~m_main_v_state1(s134, c_c1)) | node1(s134) | node2(s134) | node3(s134) | node4(s134) | node5(s134) | (~node7(s134, s135)))),
% 4.78/3.65 inference(transitivity,[status(thm)],[11027, 11025])).
% 4.78/3.65 tff(11029,plain,
% 4.78/3.65 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s134, c_c1)) | node1(s134) | node2(s134) | node3(s134) | node4(s134) | node5(s134) | (~node7(s134, s135)) | m_main_v_state1(s135, c_n1))),
% 4.78/3.65 inference(quant_inst,[status(thm)],[])).
% 4.78/3.65 tff(11030,plain,
% 4.78/3.65 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s135, c_n1) | (~m_main_v_state1(s134, c_c1)) | node1(s134) | node2(s134) | node3(s134) | node4(s134) | node5(s134) | (~node7(s134, s135))),
% 4.78/3.65 inference(modus_ponens,[status(thm)],[11029, 11028])).
% 4.78/3.65 tff(11031,plain,
% 4.78/3.65 (m_main_v_state1(s135, c_n1) | (~m_main_v_state1(s134, c_c1)) | node1(s134) | node2(s134) | node3(s134) | node4(s134) | node5(s134)),
% 4.78/3.65 inference(unit_resolution,[status(thm)],[11030, 584, 11024])).
% 4.78/3.65 tff(11032,plain,
% 4.78/3.65 (m_main_v_state1(s135, c_n1)),
% 4.78/3.65 inference(unit_resolution,[status(thm)],[11031, 11013, 10968, 11005, 11001, 10993, 10976])).
% 4.78/3.65 tff(11033,plain,
% 4.78/3.65 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s133, c_t2) | (~node15(s133)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s133, c_t2) | (~node15(s133)))),
% 4.78/3.65 inference(rewrite,[status(thm)],[])).
% 4.78/3.65 tff(11034,plain,
% 4.78/3.65 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s133, c_t2) | (~node15(s133)))),
% 4.78/3.65 inference(quant_inst,[status(thm)],[])).
% 4.78/3.65 tff(11035,plain,
% 4.78/3.65 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s133, c_t2) | (~node15(s133))),
% 4.78/3.65 inference(modus_ponens,[status(thm)],[11034, 11033])).
% 4.78/3.65 tff(11036,plain,
% 4.78/3.65 (~node15(s133)),
% 4.78/3.65 inference(unit_resolution,[status(thm)],[11035, 103, 10945])).
% 4.78/3.65 tff(11037,plain,
% 4.78/3.65 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s133, s134)) | node18(s133, s134))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s133, s134)) | node18(s133, s134))),
% 4.78/3.65 inference(rewrite,[status(thm)],[])).
% 4.78/3.65 tff(11038,plain,
% 4.78/3.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s133, s134)) | node18(s133, s134))),
% 4.78/3.65 inference(quant_inst,[status(thm)],[])).
% 4.78/3.65 tff(11039,plain,
% 4.78/3.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s133, s134)) | node18(s133, s134)),
% 4.78/3.65 inference(modus_ponens,[status(thm)],[11038, 11037])).
% 4.78/3.65 tff(11040,plain,
% 4.78/3.65 (node18(s133, s134)),
% 4.78/3.65 inference(unit_resolution,[status(thm)],[11039, 125, 10956])).
% 4.78/3.65 tff(11041,plain,
% 4.78/3.65 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s133) | (~node18(s133, s134)) | (~m_main_v_state1(s133, c_t1)) | (~m_main_v_state2(s133, c_n2)) | m_main_v_turn(s134, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s133) | (~node18(s133, s134)) | (~m_main_v_state1(s133, c_t1)) | (~m_main_v_state2(s133, c_n2)) | m_main_v_turn(s134, c_1))),
% 4.78/3.65 inference(rewrite,[status(thm)],[])).
% 4.78/3.65 tff(11042,plain,
% 4.78/3.65 (((~m_main_v_state1(s133, c_t1)) | (~m_main_v_state2(s133, c_n2)) | node15(s133) | (~node18(s133, s134)) | m_main_v_turn(s134, c_1)) <=> (node15(s133) | (~node18(s133, s134)) | (~m_main_v_state1(s133, c_t1)) | (~m_main_v_state2(s133, c_n2)) | m_main_v_turn(s134, c_1))),
% 4.78/3.65 inference(rewrite,[status(thm)],[])).
% 4.78/3.65 tff(11043,plain,
% 4.78/3.65 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s133, c_t1)) | (~m_main_v_state2(s133, c_n2)) | node15(s133) | (~node18(s133, s134)) | m_main_v_turn(s134, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s133) | (~node18(s133, s134)) | (~m_main_v_state1(s133, c_t1)) | (~m_main_v_state2(s133, c_n2)) | m_main_v_turn(s134, c_1)))),
% 4.78/3.65 inference(monotonicity,[status(thm)],[11042])).
% 4.78/3.65 tff(11044,plain,
% 4.78/3.65 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s133, c_t1)) | (~m_main_v_state2(s133, c_n2)) | node15(s133) | (~node18(s133, s134)) | m_main_v_turn(s134, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s133) | (~node18(s133, s134)) | (~m_main_v_state1(s133, c_t1)) | (~m_main_v_state2(s133, c_n2)) | m_main_v_turn(s134, c_1))),
% 4.78/3.65 inference(transitivity,[status(thm)],[11043, 11041])).
% 4.78/3.65 tff(11045,plain,
% 4.78/3.65 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s133, c_t1)) | (~m_main_v_state2(s133, c_n2)) | node15(s133) | (~node18(s133, s134)) | m_main_v_turn(s134, c_1))),
% 4.78/3.65 inference(quant_inst,[status(thm)],[])).
% 4.78/3.65 tff(11046,plain,
% 4.78/3.65 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s133) | (~node18(s133, s134)) | (~m_main_v_state1(s133, c_t1)) | (~m_main_v_state2(s133, c_n2)) | m_main_v_turn(s134, c_1)),
% 4.78/3.65 inference(modus_ponens,[status(thm)],[11045, 11044])).
% 4.78/3.65 tff(11047,plain,
% 4.78/3.65 (node15(s133) | (~m_main_v_state1(s133, c_t1)) | (~m_main_v_state2(s133, c_n2)) | m_main_v_turn(s134, c_1)),
% 4.78/3.65 inference(unit_resolution,[status(thm)],[11046, 992, 11040])).
% 4.78/3.65 tff(11048,plain,
% 4.78/3.65 (m_main_v_turn(s134, c_1)),
% 4.78/3.65 inference(unit_resolution,[status(thm)],[11047, 11036, 10873, 10941])).
% 4.78/3.65 tff(11049,plain,
% 4.78/3.65 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s134, c_1)) | (~m_main_v_turn(s134, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s134, c_1)) | (~m_main_v_turn(s134, c_2)))),
% 4.78/3.65 inference(rewrite,[status(thm)],[])).
% 4.78/3.65 tff(11050,plain,
% 4.78/3.65 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s134, c_1)) | (~m_main_v_turn(s134, c_2)))),
% 4.78/3.65 inference(quant_inst,[status(thm)],[])).
% 4.78/3.65 tff(11051,plain,
% 4.78/3.65 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s134, c_1)) | (~m_main_v_turn(s134, c_2))),
% 4.78/3.65 inference(modus_ponens,[status(thm)],[11050, 11049])).
% 4.78/3.65 tff(11052,plain,
% 4.78/3.65 (~m_main_v_turn(s134, c_2)),
% 4.78/3.65 inference(unit_resolution,[status(thm)],[11051, 156, 11048])).
% 4.78/3.65 tff(11053,plain,
% 4.78/3.65 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s134, c_2) | (~node12(s134)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s134, c_2) | (~node12(s134)))),
% 4.78/3.65 inference(rewrite,[status(thm)],[])).
% 4.78/3.65 tff(11054,plain,
% 4.78/3.65 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s134, c_2) | (~node12(s134)))),
% 4.78/3.65 inference(quant_inst,[status(thm)],[])).
% 4.78/3.65 tff(11055,plain,
% 4.78/3.65 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s134, c_2) | (~node12(s134))),
% 4.78/3.65 inference(modus_ponens,[status(thm)],[11054, 11053])).
% 4.78/3.65 tff(11056,plain,
% 4.78/3.65 (~node12(s134)),
% 4.78/3.65 inference(unit_resolution,[status(thm)],[11055, 184, 11052])).
% 4.78/3.65 tff(11057,plain,
% 4.78/3.65 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s134, c_n2) | (~node8(s134)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s134, c_n2) | (~node8(s134)))),
% 4.78/3.65 inference(rewrite,[status(thm)],[])).
% 4.78/3.65 tff(11058,plain,
% 4.78/3.65 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s134, c_n2) | (~node8(s134)))),
% 4.78/3.65 inference(quant_inst,[status(thm)],[])).
% 4.78/3.65 tff(11059,plain,
% 4.78/3.65 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s134, c_n2) | (~node8(s134))),
% 4.78/3.65 inference(modus_ponens,[status(thm)],[11058, 11057])).
% 4.78/3.65 tff(11060,plain,
% 4.78/3.65 (~node8(s134)),
% 4.78/3.65 inference(unit_resolution,[status(thm)],[11059, 271, 10989])).
% 4.78/3.65 tff(11061,plain,
% 4.78/3.65 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s134, c_n2) | (~node9(s134)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s134, c_n2) | (~node9(s134)))),
% 4.78/3.65 inference(rewrite,[status(thm)],[])).
% 4.78/3.65 tff(11062,plain,
% 4.78/3.65 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s134, c_n2) | (~node9(s134)))),
% 4.78/3.65 inference(quant_inst,[status(thm)],[])).
% 4.78/3.65 tff(11063,plain,
% 4.78/3.65 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s134, c_n2) | (~node9(s134))),
% 4.78/3.65 inference(modus_ponens,[status(thm)],[11062, 11061])).
% 4.78/3.65 tff(11064,plain,
% 4.78/3.65 (~node9(s134)),
% 4.78/3.65 inference(unit_resolution,[status(thm)],[11063, 88, 10989])).
% 4.78/3.65 tff(11065,plain,
% 4.78/3.65 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s134, c_n2) | (~node10(s134)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s134, c_n2) | (~node10(s134)))),
% 4.78/3.65 inference(rewrite,[status(thm)],[])).
% 4.78/3.65 tff(11066,plain,
% 4.78/3.65 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s134, c_n2) | (~node10(s134)))),
% 4.78/3.65 inference(quant_inst,[status(thm)],[])).
% 4.78/3.65 tff(11067,plain,
% 4.78/3.65 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s134, c_n2) | (~node10(s134))),
% 4.78/3.65 inference(modus_ponens,[status(thm)],[11066, 11065])).
% 4.78/3.65 tff(11068,plain,
% 4.78/3.65 (~node10(s134)),
% 4.78/3.65 inference(unit_resolution,[status(thm)],[11067, 249, 10989])).
% 4.78/3.65 tff(11069,plain,
% 4.78/3.65 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s134, c_n1) | (~node11(s134)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s134, c_n1) | (~node11(s134)))),
% 4.78/3.65 inference(rewrite,[status(thm)],[])).
% 4.78/3.65 tff(11070,plain,
% 4.78/3.65 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s134, c_n1) | (~node11(s134)))),
% 4.78/3.65 inference(quant_inst,[status(thm)],[])).
% 4.78/3.65 tff(11071,plain,
% 4.78/3.65 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s134, c_n1) | (~node11(s134))),
% 4.78/3.65 inference(modus_ponens,[status(thm)],[11070, 11069])).
% 4.78/3.65 tff(11072,plain,
% 4.78/3.65 (~node11(s134)),
% 4.78/3.65 inference(unit_resolution,[status(thm)],[11071, 238, 11009])).
% 4.78/3.65 tff(11073,plain,
% 4.78/3.65 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s134, s135)) | node14(s134, s135))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s134, s135)) | node14(s134, s135))),
% 4.78/3.65 inference(rewrite,[status(thm)],[])).
% 4.78/3.65 tff(11074,plain,
% 4.78/3.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s134, s135)) | node14(s134, s135))),
% 4.78/3.65 inference(quant_inst,[status(thm)],[])).
% 4.78/3.65 tff(11075,plain,
% 4.78/3.65 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s134, s135)) | node14(s134, s135)),
% 4.78/3.65 inference(modus_ponens,[status(thm)],[11074, 11073])).
% 4.78/3.65 tff(11076,plain,
% 4.78/3.65 (node14(s134, s135)),
% 4.78/3.65 inference(unit_resolution,[status(thm)],[11075, 46, 11020])).
% 4.78/3.65 tff(11077,plain,
% 4.78/3.65 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s134, c_c2) | node9(s134) | node8(s134) | node10(s134) | node11(s134) | node12(s134) | node13(s134, s135) | (~node14(s134, s135)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s134, c_c2) | node9(s134) | node8(s134) | node10(s134) | node11(s134) | node12(s134) | node13(s134, s135) | (~node14(s134, s135)))),
% 4.78/3.65 inference(rewrite,[status(thm)],[])).
% 4.78/3.65 tff(11078,plain,
% 4.78/3.65 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s134, c_c2) | node9(s134) | node8(s134) | node10(s134) | node11(s134) | node12(s134) | node13(s134, s135) | (~node14(s134, s135)))),
% 4.78/3.65 inference(quant_inst,[status(thm)],[])).
% 4.78/3.65 tff(11079,plain,
% 4.78/3.65 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s134, c_c2) | node9(s134) | node8(s134) | node10(s134) | node11(s134) | node12(s134) | node13(s134, s135) | (~node14(s134, s135))),
% 4.78/3.65 inference(modus_ponens,[status(thm)],[11078, 11077])).
% 4.78/3.65 tff(11080,plain,
% 4.78/3.65 (m_main_v_state2(s134, c_c2) | node9(s134) | node8(s134) | node10(s134) | node11(s134) | node12(s134) | node13(s134, s135)),
% 4.78/3.65 inference(unit_resolution,[status(thm)],[11079, 296, 11076])).
% 4.78/3.65 tff(11081,plain,
% 4.78/3.65 (node13(s134, s135)),
% 4.78/3.65 inference(unit_resolution,[status(thm)],[11080, 11072, 10997, 11068, 11064, 11060, 11056])).
% 4.78/3.65 tff(11082,plain,
% 4.78/3.65 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s134, c_t2)) | m_main_v_state2(s135, c_t2) | (~node13(s134, s135)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s134, c_t2)) | m_main_v_state2(s135, c_t2) | (~node13(s134, s135)))),
% 4.78/3.65 inference(rewrite,[status(thm)],[])).
% 4.78/3.65 tff(11083,plain,
% 4.78/3.65 (((~node13(s134, s135)) | (~m_main_v_state2(s134, c_t2)) | m_main_v_state2(s135, c_t2)) <=> ((~m_main_v_state2(s134, c_t2)) | m_main_v_state2(s135, c_t2) | (~node13(s134, s135)))),
% 4.78/3.66 inference(rewrite,[status(thm)],[])).
% 4.78/3.66 tff(11084,plain,
% 4.78/3.66 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s134, s135)) | (~m_main_v_state2(s134, c_t2)) | m_main_v_state2(s135, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s134, c_t2)) | m_main_v_state2(s135, c_t2) | (~node13(s134, s135))))),
% 4.78/3.66 inference(monotonicity,[status(thm)],[11083])).
% 4.78/3.66 tff(11085,plain,
% 4.78/3.66 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s134, s135)) | (~m_main_v_state2(s134, c_t2)) | m_main_v_state2(s135, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s134, c_t2)) | m_main_v_state2(s135, c_t2) | (~node13(s134, s135)))),
% 4.78/3.66 inference(transitivity,[status(thm)],[11084, 11082])).
% 4.78/3.66 tff(11086,plain,
% 4.78/3.66 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s134, s135)) | (~m_main_v_state2(s134, c_t2)) | m_main_v_state2(s135, c_t2))),
% 4.78/3.66 inference(quant_inst,[status(thm)],[])).
% 4.78/3.66 tff(11087,plain,
% 4.78/3.66 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s134, c_t2)) | m_main_v_state2(s135, c_t2) | (~node13(s134, s135))),
% 4.78/3.66 inference(modus_ponens,[status(thm)],[11086, 11085])).
% 4.78/3.66 tff(11088,plain,
% 4.78/3.66 (m_main_v_state2(s135, c_t2)),
% 4.78/3.66 inference(unit_resolution,[status(thm)],[11087, 518, 10985, 11081])).
% 4.78/3.66 tff(11089,plain,
% 4.78/3.66 (succ(s135, s136) <=> succ(s135, s136)),
% 4.78/3.66 inference(rewrite,[status(thm)],[])).
% 4.78/3.66 tff(11090,axiom,(succ(s135, s136)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound136')).
% 4.78/3.66 tff(11091,plain,
% 4.78/3.66 (succ(s135, s136)),
% 4.78/3.66 inference(modus_ponens,[status(thm)],[11090, 11089])).
% 4.78/3.66 tff(11092,plain,
% 4.78/3.66 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s135, s136)) | trans(s135, s136))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s135, s136)) | trans(s135, s136))),
% 4.78/3.66 inference(rewrite,[status(thm)],[])).
% 4.78/3.66 tff(11093,plain,
% 4.78/3.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s135, s136)) | trans(s135, s136))),
% 4.78/3.66 inference(quant_inst,[status(thm)],[])).
% 4.78/3.66 tff(11094,plain,
% 4.78/3.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s135, s136)) | trans(s135, s136)),
% 4.78/3.66 inference(modus_ponens,[status(thm)],[11093, 11092])).
% 4.78/3.66 tff(11095,plain,
% 4.78/3.66 (trans(s135, s136)),
% 4.78/3.66 inference(unit_resolution,[status(thm)],[11094, 11091, 32])).
% 4.78/3.66 tff(11096,plain,
% 4.78/3.66 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s135, s136)) | node7(s135, s136))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s135, s136)) | node7(s135, s136))),
% 4.78/3.66 inference(rewrite,[status(thm)],[])).
% 4.78/3.66 tff(11097,plain,
% 4.78/3.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s135, s136)) | node7(s135, s136))),
% 4.78/3.66 inference(quant_inst,[status(thm)],[])).
% 4.78/3.66 tff(11098,plain,
% 4.78/3.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s135, s136)) | node7(s135, s136)),
% 4.78/3.66 inference(modus_ponens,[status(thm)],[11097, 11096])).
% 4.78/3.66 tff(11099,plain,
% 4.78/3.66 (node7(s135, s136)),
% 4.78/3.66 inference(unit_resolution,[status(thm)],[11098, 206, 11095])).
% 4.78/3.66 tff(11100,plain,
% 4.78/3.66 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s135, c_n1)) | (~m_main_v_state2(s135, c_t2)) | (~node7(s135, s136)) | m_main_v_state1(s136, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s135, c_n1)) | (~m_main_v_state2(s135, c_t2)) | (~node7(s135, s136)) | m_main_v_state1(s136, c_t1))),
% 4.78/3.66 inference(rewrite,[status(thm)],[])).
% 4.78/3.66 tff(11101,plain,
% 4.78/3.66 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s135, c_n1)) | (~m_main_v_state2(s135, c_t2)) | (~node7(s135, s136)) | m_main_v_state1(s136, c_t1))),
% 4.78/3.66 inference(quant_inst,[status(thm)],[])).
% 4.78/3.66 tff(11102,plain,
% 4.78/3.66 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s135, c_n1)) | (~m_main_v_state2(s135, c_t2)) | (~node7(s135, s136)) | m_main_v_state1(s136, c_t1)),
% 4.78/3.66 inference(modus_ponens,[status(thm)],[11101, 11100])).
% 4.78/3.66 tff(11103,plain,
% 4.78/3.66 ((~m_main_v_state1(s135, c_n1)) | (~m_main_v_state2(s135, c_t2)) | m_main_v_state1(s136, c_t1)),
% 4.78/3.66 inference(unit_resolution,[status(thm)],[11102, 651, 11099])).
% 4.78/3.66 tff(11104,plain,
% 4.78/3.66 (m_main_v_state1(s136, c_t1)),
% 4.78/3.66 inference(unit_resolution,[status(thm)],[11103, 11088, 11032])).
% 4.78/3.66 tff(11105,plain,
% 4.78/3.66 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s136, c_n1)) | (~m_main_v_state1(s136, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s136, c_n1)) | (~m_main_v_state1(s136, c_t1)))),
% 4.78/3.66 inference(rewrite,[status(thm)],[])).
% 4.78/3.66 tff(11106,plain,
% 4.78/3.66 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s136, c_n1)) | (~m_main_v_state1(s136, c_t1)))),
% 4.78/3.66 inference(quant_inst,[status(thm)],[])).
% 4.78/3.66 tff(11107,plain,
% 4.78/3.66 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s136, c_n1)) | (~m_main_v_state1(s136, c_t1))),
% 4.78/3.66 inference(modus_ponens,[status(thm)],[11106, 11105])).
% 4.78/3.66 tff(11108,plain,
% 4.78/3.66 (~m_main_v_state1(s136, c_n1)),
% 4.78/3.66 inference(unit_resolution,[status(thm)],[11107, 10, 11104])).
% 4.78/3.66 tff(11109,plain,
% 4.78/3.66 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s136, c_n1) | (~node1(s136)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s136, c_n1) | (~node1(s136)))),
% 4.78/3.66 inference(rewrite,[status(thm)],[])).
% 4.78/3.66 tff(11110,plain,
% 4.78/3.66 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s136, c_n1) | (~node1(s136)))),
% 4.78/3.66 inference(quant_inst,[status(thm)],[])).
% 4.78/3.66 tff(11111,plain,
% 4.78/3.66 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s136, c_n1) | (~node1(s136))),
% 4.78/3.66 inference(modus_ponens,[status(thm)],[11110, 11109])).
% 4.78/3.66 tff(11112,plain,
% 4.78/3.66 (~node1(s136)),
% 4.78/3.66 inference(unit_resolution,[status(thm)],[11111, 421, 11108])).
% 4.78/3.66 tff(11113,plain,
% 4.78/3.66 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s135, s136)) | node18(s135, s136))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s135, s136)) | node18(s135, s136))),
% 4.78/3.66 inference(rewrite,[status(thm)],[])).
% 4.78/3.66 tff(11114,plain,
% 4.78/3.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s135, s136)) | node18(s135, s136))),
% 4.78/3.66 inference(quant_inst,[status(thm)],[])).
% 4.78/3.66 tff(11115,plain,
% 4.78/3.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s135, s136)) | node18(s135, s136)),
% 4.78/3.66 inference(modus_ponens,[status(thm)],[11114, 11113])).
% 4.78/3.66 tff(11116,plain,
% 4.78/3.66 (node18(s135, s136)),
% 4.78/3.66 inference(unit_resolution,[status(thm)],[11115, 125, 11095])).
% 4.78/3.66 tff(11117,plain,
% 4.78/3.66 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s135, c_n1)) | (~m_main_v_state2(s135, c_t2)) | (~node18(s135, s136)) | m_main_v_turn(s136, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s135, c_n1)) | (~m_main_v_state2(s135, c_t2)) | (~node18(s135, s136)) | m_main_v_turn(s136, c_2))),
% 4.78/3.66 inference(rewrite,[status(thm)],[])).
% 4.78/3.66 tff(11118,plain,
% 4.78/3.66 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s135, c_n1)) | (~m_main_v_state2(s135, c_t2)) | (~node18(s135, s136)) | m_main_v_turn(s136, c_2))),
% 4.78/3.66 inference(quant_inst,[status(thm)],[])).
% 4.78/3.66 tff(11119,plain,
% 4.78/3.66 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s135, c_n1)) | (~m_main_v_state2(s135, c_t2)) | (~node18(s135, s136)) | m_main_v_turn(s136, c_2)),
% 4.78/3.66 inference(modus_ponens,[status(thm)],[11118, 11117])).
% 4.78/3.66 tff(11120,plain,
% 4.78/3.66 ((~m_main_v_state1(s135, c_n1)) | (~m_main_v_state2(s135, c_t2)) | m_main_v_turn(s136, c_2)),
% 4.78/3.66 inference(unit_resolution,[status(thm)],[11119, 760, 11116])).
% 4.78/3.66 tff(11121,plain,
% 4.78/3.66 (m_main_v_turn(s136, c_2)),
% 4.78/3.66 inference(unit_resolution,[status(thm)],[11120, 11088, 11032])).
% 4.78/3.66 tff(11122,plain,
% 4.78/3.66 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s136, c_1)) | (~m_main_v_turn(s136, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s136, c_1)) | (~m_main_v_turn(s136, c_2)))),
% 4.78/3.66 inference(rewrite,[status(thm)],[])).
% 4.78/3.66 tff(11123,plain,
% 4.78/3.66 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s136, c_1)) | (~m_main_v_turn(s136, c_2)))),
% 4.78/3.66 inference(quant_inst,[status(thm)],[])).
% 4.78/3.66 tff(11124,plain,
% 4.78/3.66 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s136, c_1)) | (~m_main_v_turn(s136, c_2))),
% 4.78/3.66 inference(modus_ponens,[status(thm)],[11123, 11122])).
% 4.78/3.66 tff(11125,plain,
% 4.78/3.66 (~m_main_v_turn(s136, c_1)),
% 4.78/3.66 inference(unit_resolution,[status(thm)],[11124, 156, 11121])).
% 4.78/3.66 tff(11126,plain,
% 4.78/3.66 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s136, c_1) | (~node5(s136)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s136, c_1) | (~node5(s136)))),
% 4.78/3.66 inference(rewrite,[status(thm)],[])).
% 4.78/3.66 tff(11127,plain,
% 4.78/3.66 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s136, c_1) | (~node5(s136)))),
% 4.78/3.66 inference(quant_inst,[status(thm)],[])).
% 4.78/3.66 tff(11128,plain,
% 4.78/3.66 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s136, c_1) | (~node5(s136))),
% 4.78/3.66 inference(modus_ponens,[status(thm)],[11127, 11126])).
% 4.78/3.66 tff(11129,plain,
% 4.78/3.66 (~node5(s136)),
% 4.78/3.66 inference(unit_resolution,[status(thm)],[11128, 776, 11125])).
% 4.78/3.66 tff(11130,plain,
% 4.78/3.66 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s136, c_n1) | (~node2(s136)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s136, c_n1) | (~node2(s136)))),
% 4.78/3.66 inference(rewrite,[status(thm)],[])).
% 4.78/3.66 tff(11131,plain,
% 4.78/3.66 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s136, c_n1) | (~node2(s136)))),
% 4.78/3.66 inference(quant_inst,[status(thm)],[])).
% 4.78/3.66 tff(11132,plain,
% 4.78/3.66 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s136, c_n1) | (~node2(s136))),
% 4.78/3.66 inference(modus_ponens,[status(thm)],[11131, 11130])).
% 4.78/3.66 tff(11133,plain,
% 4.78/3.66 (~node2(s136)),
% 4.78/3.66 inference(unit_resolution,[status(thm)],[11132, 787, 11108])).
% 4.78/3.66 tff(11134,plain,
% 4.78/3.66 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s136, c_n1) | (~node3(s136)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s136, c_n1) | (~node3(s136)))),
% 4.78/3.66 inference(rewrite,[status(thm)],[])).
% 4.78/3.66 tff(11135,plain,
% 4.78/3.66 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s136, c_n1) | (~node3(s136)))),
% 4.78/3.66 inference(quant_inst,[status(thm)],[])).
% 4.78/3.66 tff(11136,plain,
% 4.78/3.66 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s136, c_n1) | (~node3(s136))),
% 4.78/3.66 inference(modus_ponens,[status(thm)],[11135, 11134])).
% 4.78/3.66 tff(11137,plain,
% 4.78/3.66 (~node3(s136)),
% 4.78/3.66 inference(unit_resolution,[status(thm)],[11136, 798, 11108])).
% 4.78/3.66 tff(11138,plain,
% 4.78/3.66 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s136, c_t1)) | (~m_main_v_state1(s136, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s136, c_t1)) | (~m_main_v_state1(s136, c_c1)))),
% 4.78/3.66 inference(rewrite,[status(thm)],[])).
% 4.78/3.66 tff(11139,plain,
% 4.78/3.66 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s136, c_t1)) | (~m_main_v_state1(s136, c_c1)))),
% 4.78/3.66 inference(quant_inst,[status(thm)],[])).
% 4.78/3.66 tff(11140,plain,
% 4.78/3.66 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s136, c_t1)) | (~m_main_v_state1(s136, c_c1))),
% 4.78/3.66 inference(modus_ponens,[status(thm)],[11139, 11138])).
% 4.78/3.66 tff(11141,plain,
% 4.78/3.66 (~m_main_v_state1(s136, c_c1)),
% 4.78/3.66 inference(unit_resolution,[status(thm)],[11140, 539, 11104])).
% 4.78/3.66 tff(11142,plain,
% 4.78/3.66 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s134, c_n2) | (~m_main_v_state2(s135, c_n2)) | (~node13(s134, s135)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s134, c_n2) | (~m_main_v_state2(s135, c_n2)) | (~node13(s134, s135)))),
% 4.78/3.66 inference(rewrite,[status(thm)],[])).
% 4.78/3.66 tff(11143,plain,
% 4.78/3.66 (((~node13(s134, s135)) | m_main_v_state2(s134, c_n2) | (~m_main_v_state2(s135, c_n2))) <=> (m_main_v_state2(s134, c_n2) | (~m_main_v_state2(s135, c_n2)) | (~node13(s134, s135)))),
% 4.78/3.66 inference(rewrite,[status(thm)],[])).
% 4.78/3.66 tff(11144,plain,
% 4.78/3.66 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s134, s135)) | m_main_v_state2(s134, c_n2) | (~m_main_v_state2(s135, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s134, c_n2) | (~m_main_v_state2(s135, c_n2)) | (~node13(s134, s135))))),
% 4.78/3.66 inference(monotonicity,[status(thm)],[11143])).
% 4.78/3.66 tff(11145,plain,
% 4.78/3.66 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s134, s135)) | m_main_v_state2(s134, c_n2) | (~m_main_v_state2(s135, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s134, c_n2) | (~m_main_v_state2(s135, c_n2)) | (~node13(s134, s135)))),
% 4.78/3.66 inference(transitivity,[status(thm)],[11144, 11142])).
% 4.78/3.66 tff(11146,plain,
% 4.78/3.66 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s134, s135)) | m_main_v_state2(s134, c_n2) | (~m_main_v_state2(s135, c_n2)))),
% 4.78/3.66 inference(quant_inst,[status(thm)],[])).
% 4.78/3.66 tff(11147,plain,
% 4.78/3.66 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s134, c_n2) | (~m_main_v_state2(s135, c_n2)) | (~node13(s134, s135))),
% 4.78/3.66 inference(modus_ponens,[status(thm)],[11146, 11145])).
% 4.78/3.66 tff(11148,plain,
% 4.78/3.66 (~m_main_v_state2(s135, c_n2)),
% 4.78/3.66 inference(unit_resolution,[status(thm)],[11147, 311, 10989, 11081])).
% 4.78/3.66 tff(11149,plain,
% 4.78/3.66 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s135, c_n2) | (~node9(s135)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s135, c_n2) | (~node9(s135)))),
% 4.78/3.66 inference(rewrite,[status(thm)],[])).
% 4.78/3.66 tff(11150,plain,
% 4.78/3.66 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s135, c_n2) | (~node9(s135)))),
% 4.78/3.66 inference(quant_inst,[status(thm)],[])).
% 4.78/3.66 tff(11151,plain,
% 4.78/3.66 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s135, c_n2) | (~node9(s135))),
% 4.78/3.66 inference(modus_ponens,[status(thm)],[11150, 11149])).
% 4.78/3.66 tff(11152,plain,
% 4.78/3.66 (~node9(s135)),
% 4.78/3.66 inference(unit_resolution,[status(thm)],[11151, 88, 11148])).
% 4.78/3.66 tff(11153,plain,
% 4.78/3.66 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s135, c_n2) | (~node10(s135)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s135, c_n2) | (~node10(s135)))),
% 4.78/3.66 inference(rewrite,[status(thm)],[])).
% 4.78/3.66 tff(11154,plain,
% 4.78/3.66 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s135, c_n2) | (~node10(s135)))),
% 4.78/3.66 inference(quant_inst,[status(thm)],[])).
% 4.78/3.66 tff(11155,plain,
% 4.78/3.66 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s135, c_n2) | (~node10(s135))),
% 4.78/3.66 inference(modus_ponens,[status(thm)],[11154, 11153])).
% 4.78/3.66 tff(11156,plain,
% 4.78/3.66 (~node10(s135)),
% 4.78/3.66 inference(unit_resolution,[status(thm)],[11155, 249, 11148])).
% 4.78/3.66 tff(11157,plain,
% 4.78/3.66 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s135, c_n2) | (~node8(s135)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s135, c_n2) | (~node8(s135)))),
% 4.78/3.66 inference(rewrite,[status(thm)],[])).
% 4.78/3.66 tff(11158,plain,
% 4.78/3.66 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s135, c_n2) | (~node8(s135)))),
% 4.78/3.66 inference(quant_inst,[status(thm)],[])).
% 4.78/3.66 tff(11159,plain,
% 4.78/3.66 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s135, c_n2) | (~node8(s135))),
% 4.78/3.66 inference(modus_ponens,[status(thm)],[11158, 11157])).
% 4.78/3.66 tff(11160,plain,
% 4.78/3.66 (~node8(s135)),
% 4.78/3.66 inference(unit_resolution,[status(thm)],[11159, 271, 11148])).
% 4.78/3.66 tff(11161,plain,
% 4.78/3.66 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s135, s136)) | node14(s135, s136))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s135, s136)) | node14(s135, s136))),
% 4.78/3.66 inference(rewrite,[status(thm)],[])).
% 4.78/3.66 tff(11162,plain,
% 4.78/3.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s135, s136)) | node14(s135, s136))),
% 4.78/3.66 inference(quant_inst,[status(thm)],[])).
% 4.78/3.66 tff(11163,plain,
% 4.78/3.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s135, s136)) | node14(s135, s136)),
% 4.78/3.66 inference(modus_ponens,[status(thm)],[11162, 11161])).
% 4.78/3.66 tff(11164,plain,
% 4.78/3.66 (node14(s135, s136)),
% 4.78/3.66 inference(unit_resolution,[status(thm)],[11163, 46, 11095])).
% 4.78/3.66 tff(11165,plain,
% 4.78/3.66 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s135, c_n1)) | (~m_main_v_state2(s135, c_t2)) | node9(s135) | node8(s135) | node10(s135) | (~node14(s135, s136)) | m_main_v_state2(s136, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s135, c_n1)) | (~m_main_v_state2(s135, c_t2)) | node9(s135) | node8(s135) | node10(s135) | (~node14(s135, s136)) | m_main_v_state2(s136, c_c2))),
% 4.78/3.66 inference(rewrite,[status(thm)],[])).
% 4.78/3.66 tff(11166,plain,
% 4.78/3.66 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s135, c_n1)) | (~m_main_v_state2(s135, c_t2)) | node9(s135) | node8(s135) | node10(s135) | (~node14(s135, s136)) | m_main_v_state2(s136, c_c2))),
% 4.78/3.66 inference(quant_inst,[status(thm)],[])).
% 4.78/3.66 tff(11167,plain,
% 4.78/3.66 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s135, c_n1)) | (~m_main_v_state2(s135, c_t2)) | node9(s135) | node8(s135) | node10(s135) | (~node14(s135, s136)) | m_main_v_state2(s136, c_c2)),
% 4.78/3.66 inference(modus_ponens,[status(thm)],[11166, 11165])).
% 4.78/3.66 tff(11168,plain,
% 4.78/3.66 ((~m_main_v_state1(s135, c_n1)) | (~m_main_v_state2(s135, c_t2)) | node9(s135) | node8(s135) | node10(s135) | m_main_v_state2(s136, c_c2)),
% 4.78/3.66 inference(unit_resolution,[status(thm)],[11167, 617, 11164])).
% 4.78/3.66 tff(11169,plain,
% 4.78/3.66 (m_main_v_state2(s136, c_c2)),
% 4.78/3.66 inference(unit_resolution,[status(thm)],[11168, 11160, 11032, 11088, 11156, 11152])).
% 4.78/3.66 tff(11170,plain,
% 4.78/3.66 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s136, c_n2)) | (~m_main_v_state2(s136, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s136, c_n2)) | (~m_main_v_state2(s136, c_c2)))),
% 4.78/3.66 inference(rewrite,[status(thm)],[])).
% 4.78/3.66 tff(11171,plain,
% 4.78/3.66 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s136, c_n2)) | (~m_main_v_state2(s136, c_c2)))),
% 4.78/3.66 inference(quant_inst,[status(thm)],[])).
% 4.78/3.66 tff(11172,plain,
% 4.78/3.66 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s136, c_n2)) | (~m_main_v_state2(s136, c_c2))),
% 4.78/3.66 inference(modus_ponens,[status(thm)],[11171, 11170])).
% 4.78/3.66 tff(11173,plain,
% 4.78/3.66 (~m_main_v_state2(s136, c_n2)),
% 4.78/3.66 inference(unit_resolution,[status(thm)],[11172, 697, 11169])).
% 4.78/3.66 tff(11174,plain,
% 4.78/3.66 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s136, c_n2) | (~node4(s136)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s136, c_n2) | (~node4(s136)))),
% 4.78/3.66 inference(rewrite,[status(thm)],[])).
% 4.78/3.66 tff(11175,plain,
% 4.78/3.66 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s136, c_n2) | (~node4(s136)))),
% 4.78/3.66 inference(quant_inst,[status(thm)],[])).
% 4.78/3.66 tff(11176,plain,
% 4.78/3.66 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s136, c_n2) | (~node4(s136))),
% 4.78/3.66 inference(modus_ponens,[status(thm)],[11175, 11174])).
% 4.78/3.66 tff(11177,plain,
% 4.78/3.66 (~node4(s136)),
% 4.78/3.66 inference(unit_resolution,[status(thm)],[11176, 388, 11173])).
% 4.78/3.66 tff(11178,plain,
% 4.78/3.66 (succ(s136, s137) <=> succ(s136, s137)),
% 4.78/3.66 inference(rewrite,[status(thm)],[])).
% 4.78/3.66 tff(11179,axiom,(succ(s136, s137)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound137')).
% 4.78/3.66 tff(11180,plain,
% 4.78/3.66 (succ(s136, s137)),
% 4.78/3.66 inference(modus_ponens,[status(thm)],[11179, 11178])).
% 4.78/3.66 tff(11181,plain,
% 4.78/3.66 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s136, s137)) | trans(s136, s137))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s136, s137)) | trans(s136, s137))),
% 4.78/3.66 inference(rewrite,[status(thm)],[])).
% 4.78/3.66 tff(11182,plain,
% 4.78/3.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s136, s137)) | trans(s136, s137))),
% 4.78/3.66 inference(quant_inst,[status(thm)],[])).
% 4.78/3.66 tff(11183,plain,
% 4.78/3.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s136, s137)) | trans(s136, s137)),
% 4.78/3.66 inference(modus_ponens,[status(thm)],[11182, 11181])).
% 4.78/3.66 tff(11184,plain,
% 4.78/3.66 (trans(s136, s137)),
% 4.78/3.66 inference(unit_resolution,[status(thm)],[11183, 11180, 32])).
% 4.78/3.66 tff(11185,plain,
% 4.78/3.66 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s136, s137)) | node7(s136, s137))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s136, s137)) | node7(s136, s137))),
% 4.78/3.66 inference(rewrite,[status(thm)],[])).
% 4.78/3.66 tff(11186,plain,
% 4.78/3.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s136, s137)) | node7(s136, s137))),
% 4.78/3.66 inference(quant_inst,[status(thm)],[])).
% 4.78/3.66 tff(11187,plain,
% 4.78/3.66 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s136, s137)) | node7(s136, s137)),
% 4.78/3.66 inference(modus_ponens,[status(thm)],[11186, 11185])).
% 4.78/3.66 tff(11188,plain,
% 4.78/3.66 (node7(s136, s137)),
% 4.78/3.66 inference(unit_resolution,[status(thm)],[11187, 206, 11184])).
% 4.78/3.66 tff(11189,plain,
% 4.78/3.66 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s136, c_c1) | node1(s136) | node2(s136) | node3(s136) | node4(s136) | node5(s136) | node6(s136, s137) | (~node7(s136, s137)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s136, c_c1) | node1(s136) | node2(s136) | node3(s136) | node4(s136) | node5(s136) | node6(s136, s137) | (~node7(s136, s137)))),
% 4.78/3.66 inference(rewrite,[status(thm)],[])).
% 4.78/3.66 tff(11190,plain,
% 4.78/3.66 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s136, c_c1) | node1(s136) | node2(s136) | node3(s136) | node4(s136) | node5(s136) | node6(s136, s137) | (~node7(s136, s137)))),
% 4.78/3.66 inference(quant_inst,[status(thm)],[])).
% 4.78/3.66 tff(11191,plain,
% 4.78/3.66 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s136, c_c1) | node1(s136) | node2(s136) | node3(s136) | node4(s136) | node5(s136) | node6(s136, s137) | (~node7(s136, s137))),
% 4.78/3.66 inference(modus_ponens,[status(thm)],[11190, 11189])).
% 4.78/3.66 tff(11192,plain,
% 4.78/3.66 (m_main_v_state1(s136, c_c1) | node1(s136) | node2(s136) | node3(s136) | node4(s136) | node5(s136) | node6(s136, s137)),
% 4.78/3.66 inference(unit_resolution,[status(thm)],[11191, 820, 11188])).
% 4.78/3.66 tff(11193,plain,
% 4.78/3.66 (node6(s136, s137)),
% 4.78/3.66 inference(unit_resolution,[status(thm)],[11192, 11177, 11141, 11137, 11133, 11129, 11112])).
% 4.78/3.66 tff(11194,plain,
% 4.78/3.66 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s136, c_t1)) | m_main_v_state1(s137, c_t1) | (~node6(s136, s137)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s136, c_t1)) | m_main_v_state1(s137, c_t1) | (~node6(s136, s137)))),
% 4.78/3.66 inference(rewrite,[status(thm)],[])).
% 4.78/3.66 tff(11195,plain,
% 4.78/3.66 (((~node6(s136, s137)) | (~m_main_v_state1(s136, c_t1)) | m_main_v_state1(s137, c_t1)) <=> ((~m_main_v_state1(s136, c_t1)) | m_main_v_state1(s137, c_t1) | (~node6(s136, s137)))),
% 4.78/3.66 inference(rewrite,[status(thm)],[])).
% 4.78/3.66 tff(11196,plain,
% 4.78/3.66 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s136, s137)) | (~m_main_v_state1(s136, c_t1)) | m_main_v_state1(s137, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s136, c_t1)) | m_main_v_state1(s137, c_t1) | (~node6(s136, s137))))),
% 4.78/3.66 inference(monotonicity,[status(thm)],[11195])).
% 4.78/3.66 tff(11197,plain,
% 4.78/3.66 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s136, s137)) | (~m_main_v_state1(s136, c_t1)) | m_main_v_state1(s137, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s136, c_t1)) | m_main_v_state1(s137, c_t1) | (~node6(s136, s137)))),
% 4.78/3.66 inference(transitivity,[status(thm)],[11196, 11194])).
% 4.78/3.66 tff(11198,plain,
% 4.78/3.66 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s136, s137)) | (~m_main_v_state1(s136, c_t1)) | m_main_v_state1(s137, c_t1))),
% 4.78/3.66 inference(quant_inst,[status(thm)],[])).
% 4.78/3.66 tff(11199,plain,
% 4.78/3.66 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s136, c_t1)) | m_main_v_state1(s137, c_t1) | (~node6(s136, s137))),
% 4.78/3.66 inference(modus_ponens,[status(thm)],[11198, 11197])).
% 4.78/3.66 tff(11200,plain,
% 4.78/3.66 (m_main_v_state1(s137, c_t1)),
% 4.78/3.66 inference(unit_resolution,[status(thm)],[11199, 856, 11104, 11193])).
% 4.78/3.66 tff(11201,plain,
% 4.78/3.66 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s136, c_t2)) | (~m_main_v_state2(s136, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s136, c_t2)) | (~m_main_v_state2(s136, c_c2)))),
% 4.78/3.66 inference(rewrite,[status(thm)],[])).
% 4.78/3.66 tff(11202,plain,
% 4.78/3.66 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s136, c_t2)) | (~m_main_v_state2(s136, c_c2)))),
% 4.78/3.66 inference(quant_inst,[status(thm)],[])).
% 4.78/3.66 tff(11203,plain,
% 4.78/3.66 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s136, c_t2)) | (~m_main_v_state2(s136, c_c2))),
% 4.78/3.66 inference(modus_ponens,[status(thm)],[11202, 11201])).
% 4.78/3.66 tff(11204,plain,
% 4.78/3.66 (~m_main_v_state2(s136, c_t2)),
% 4.78/3.66 inference(unit_resolution,[status(thm)],[11203, 260, 11169])).
% 4.78/3.66 tff(11205,plain,
% 4.78/3.66 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s136, c_t2) | (~node12(s136)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s136, c_t2) | (~node12(s136)))),
% 4.78/3.66 inference(rewrite,[status(thm)],[])).
% 4.78/3.66 tff(11206,plain,
% 4.78/3.66 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s136, c_t2) | (~node12(s136)))),
% 4.78/3.66 inference(quant_inst,[status(thm)],[])).
% 4.78/3.66 tff(11207,plain,
% 4.78/3.66 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s136, c_t2) | (~node12(s136))),
% 4.78/3.67 inference(modus_ponens,[status(thm)],[11206, 11205])).
% 4.78/3.67 tff(11208,plain,
% 4.78/3.67 (~node12(s136)),
% 4.78/3.67 inference(unit_resolution,[status(thm)],[11207, 633, 11204])).
% 4.78/3.67 tff(11209,plain,
% 4.78/3.67 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s136, c_n1) | (~node11(s136)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s136, c_n1) | (~node11(s136)))),
% 4.78/3.67 inference(rewrite,[status(thm)],[])).
% 4.78/3.67 tff(11210,plain,
% 4.78/3.67 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s136, c_n1) | (~node11(s136)))),
% 4.78/3.67 inference(quant_inst,[status(thm)],[])).
% 4.78/3.67 tff(11211,plain,
% 4.78/3.67 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s136, c_n1) | (~node11(s136))),
% 4.78/3.67 inference(modus_ponens,[status(thm)],[11210, 11209])).
% 4.78/3.67 tff(11212,plain,
% 4.78/3.67 (~node11(s136)),
% 4.78/3.67 inference(unit_resolution,[status(thm)],[11211, 238, 11108])).
% 4.78/3.67 tff(11213,plain,
% 4.78/3.67 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s136, c_c1) | (~node10(s136)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s136, c_c1) | (~node10(s136)))),
% 4.78/3.67 inference(rewrite,[status(thm)],[])).
% 4.78/3.67 tff(11214,plain,
% 4.78/3.67 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s136, c_c1) | (~node10(s136)))),
% 4.78/3.67 inference(quant_inst,[status(thm)],[])).
% 4.78/3.67 tff(11215,plain,
% 4.78/3.67 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s136, c_c1) | (~node10(s136))),
% 4.78/3.67 inference(modus_ponens,[status(thm)],[11214, 11213])).
% 4.78/3.67 tff(11216,plain,
% 4.78/3.67 (~node10(s136)),
% 4.78/3.67 inference(unit_resolution,[status(thm)],[11215, 675, 11141])).
% 4.78/3.67 tff(11217,plain,
% 4.78/3.67 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s136, c_n1) | (~node9(s136)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s136, c_n1) | (~node9(s136)))),
% 4.78/3.67 inference(rewrite,[status(thm)],[])).
% 4.78/3.67 tff(11218,plain,
% 4.78/3.67 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s136, c_n1) | (~node9(s136)))),
% 4.78/3.67 inference(quant_inst,[status(thm)],[])).
% 4.78/3.67 tff(11219,plain,
% 4.78/3.67 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s136, c_n1) | (~node9(s136))),
% 4.78/3.67 inference(modus_ponens,[status(thm)],[11218, 11217])).
% 4.78/3.67 tff(11220,plain,
% 4.78/3.67 (~node9(s136)),
% 4.78/3.67 inference(unit_resolution,[status(thm)],[11219, 686, 11108])).
% 4.78/3.67 tff(11221,plain,
% 4.78/3.67 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s136, c_n2) | (~node8(s136)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s136, c_n2) | (~node8(s136)))),
% 4.78/3.67 inference(rewrite,[status(thm)],[])).
% 4.78/3.67 tff(11222,plain,
% 4.78/3.67 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s136, c_n2) | (~node8(s136)))),
% 4.78/3.67 inference(quant_inst,[status(thm)],[])).
% 4.78/3.67 tff(11223,plain,
% 4.78/3.67 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s136, c_n2) | (~node8(s136))),
% 4.78/3.67 inference(modus_ponens,[status(thm)],[11222, 11221])).
% 4.78/3.67 tff(11224,plain,
% 4.78/3.67 (~node8(s136)),
% 4.78/3.67 inference(unit_resolution,[status(thm)],[11223, 271, 11173])).
% 4.78/3.67 tff(11225,plain,
% 4.78/3.67 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s136, s137)) | node14(s136, s137))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s136, s137)) | node14(s136, s137))),
% 4.78/3.67 inference(rewrite,[status(thm)],[])).
% 4.78/3.67 tff(11226,plain,
% 4.78/3.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s136, s137)) | node14(s136, s137))),
% 4.78/3.67 inference(quant_inst,[status(thm)],[])).
% 4.78/3.67 tff(11227,plain,
% 4.78/3.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s136, s137)) | node14(s136, s137)),
% 4.78/3.67 inference(modus_ponens,[status(thm)],[11226, 11225])).
% 4.78/3.67 tff(11228,plain,
% 4.78/3.67 (node14(s136, s137)),
% 4.78/3.67 inference(unit_resolution,[status(thm)],[11227, 46, 11184])).
% 4.78/3.67 tff(11229,plain,
% 4.78/3.67 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s137, c_n2) | node9(s136) | node8(s136) | node10(s136) | node11(s136) | node12(s136) | (~node14(s136, s137)) | (~m_main_v_state2(s136, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s137, c_n2) | node9(s136) | node8(s136) | node10(s136) | node11(s136) | node12(s136) | (~node14(s136, s137)) | (~m_main_v_state2(s136, c_c2)))),
% 4.78/3.67 inference(rewrite,[status(thm)],[])).
% 4.78/3.67 tff(11230,plain,
% 4.78/3.67 (((~m_main_v_state2(s136, c_c2)) | node9(s136) | node8(s136) | node10(s136) | node11(s136) | node12(s136) | (~node14(s136, s137)) | m_main_v_state2(s137, c_n2)) <=> (m_main_v_state2(s137, c_n2) | node9(s136) | node8(s136) | node10(s136) | node11(s136) | node12(s136) | (~node14(s136, s137)) | (~m_main_v_state2(s136, c_c2)))),
% 4.78/3.67 inference(rewrite,[status(thm)],[])).
% 4.78/3.67 tff(11231,plain,
% 4.78/3.67 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s136, c_c2)) | node9(s136) | node8(s136) | node10(s136) | node11(s136) | node12(s136) | (~node14(s136, s137)) | m_main_v_state2(s137, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s137, c_n2) | node9(s136) | node8(s136) | node10(s136) | node11(s136) | node12(s136) | (~node14(s136, s137)) | (~m_main_v_state2(s136, c_c2))))),
% 4.78/3.67 inference(monotonicity,[status(thm)],[11230])).
% 4.78/3.67 tff(11232,plain,
% 4.78/3.67 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s136, c_c2)) | node9(s136) | node8(s136) | node10(s136) | node11(s136) | node12(s136) | (~node14(s136, s137)) | m_main_v_state2(s137, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s137, c_n2) | node9(s136) | node8(s136) | node10(s136) | node11(s136) | node12(s136) | (~node14(s136, s137)) | (~m_main_v_state2(s136, c_c2)))),
% 4.78/3.67 inference(transitivity,[status(thm)],[11231, 11229])).
% 4.78/3.67 tff(11233,plain,
% 4.78/3.67 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s136, c_c2)) | node9(s136) | node8(s136) | node10(s136) | node11(s136) | node12(s136) | (~node14(s136, s137)) | m_main_v_state2(s137, c_n2))),
% 4.78/3.67 inference(quant_inst,[status(thm)],[])).
% 4.78/3.67 tff(11234,plain,
% 4.78/3.67 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s137, c_n2) | node9(s136) | node8(s136) | node10(s136) | node11(s136) | node12(s136) | (~node14(s136, s137)) | (~m_main_v_state2(s136, c_c2))),
% 4.78/3.67 inference(modus_ponens,[status(thm)],[11233, 11232])).
% 4.78/3.67 tff(11235,plain,
% 4.78/3.67 (m_main_v_state2(s137, c_n2) | node9(s136) | node8(s136) | node10(s136) | node11(s136) | node12(s136) | (~m_main_v_state2(s136, c_c2))),
% 4.78/3.67 inference(unit_resolution,[status(thm)],[11234, 726, 11228])).
% 4.78/3.67 tff(11236,plain,
% 4.78/3.67 (m_main_v_state2(s137, c_n2)),
% 4.78/3.67 inference(unit_resolution,[status(thm)],[11235, 11224, 11169, 11220, 11216, 11212, 11208])).
% 4.78/3.67 tff(11237,plain,
% 4.78/3.67 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s137, c_n2)) | (~m_main_v_state2(s137, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s137, c_n2)) | (~m_main_v_state2(s137, c_t2)))),
% 4.78/3.67 inference(rewrite,[status(thm)],[])).
% 4.78/3.67 tff(11238,plain,
% 4.78/3.67 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s137, c_n2)) | (~m_main_v_state2(s137, c_t2)))),
% 4.78/3.67 inference(quant_inst,[status(thm)],[])).
% 4.78/3.67 tff(11239,plain,
% 4.78/3.67 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s137, c_n2)) | (~m_main_v_state2(s137, c_t2))),
% 4.78/3.67 inference(modus_ponens,[status(thm)],[11238, 11237])).
% 4.78/3.67 tff(11240,plain,
% 4.78/3.67 (~m_main_v_state2(s137, c_t2)),
% 4.78/3.67 inference(unit_resolution,[status(thm)],[11239, 77, 11236])).
% 4.78/3.67 tff(11241,plain,
% 4.78/3.67 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s137, c_t2) | (~node15(s137)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s137, c_t2) | (~node15(s137)))),
% 4.78/3.67 inference(rewrite,[status(thm)],[])).
% 4.78/3.67 tff(11242,plain,
% 4.78/3.67 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s137, c_t2) | (~node15(s137)))),
% 4.78/3.67 inference(quant_inst,[status(thm)],[])).
% 4.78/3.67 tff(11243,plain,
% 4.78/3.67 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s137, c_t2) | (~node15(s137))),
% 4.78/3.67 inference(modus_ponens,[status(thm)],[11242, 11241])).
% 4.78/3.67 tff(11244,plain,
% 4.78/3.67 (~node15(s137)),
% 4.78/3.67 inference(unit_resolution,[status(thm)],[11243, 103, 11240])).
% 4.78/3.67 tff(11245,plain,
% 4.78/3.67 (succ(s137, s138) <=> succ(s137, s138)),
% 4.78/3.67 inference(rewrite,[status(thm)],[])).
% 4.78/3.67 tff(11246,axiom,(succ(s137, s138)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound138')).
% 4.78/3.67 tff(11247,plain,
% 4.78/3.67 (succ(s137, s138)),
% 4.78/3.67 inference(modus_ponens,[status(thm)],[11246, 11245])).
% 4.78/3.67 tff(11248,plain,
% 4.78/3.67 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s137, s138)) | trans(s137, s138))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s137, s138)) | trans(s137, s138))),
% 4.78/3.67 inference(rewrite,[status(thm)],[])).
% 4.78/3.67 tff(11249,plain,
% 4.78/3.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s137, s138)) | trans(s137, s138))),
% 4.78/3.67 inference(quant_inst,[status(thm)],[])).
% 4.78/3.67 tff(11250,plain,
% 4.78/3.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s137, s138)) | trans(s137, s138)),
% 4.78/3.67 inference(modus_ponens,[status(thm)],[11249, 11248])).
% 4.78/3.67 tff(11251,plain,
% 4.78/3.67 (trans(s137, s138)),
% 4.78/3.67 inference(unit_resolution,[status(thm)],[11250, 11247, 32])).
% 4.78/3.67 tff(11252,plain,
% 4.78/3.67 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s137, s138)) | node18(s137, s138))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s137, s138)) | node18(s137, s138))),
% 4.78/3.67 inference(rewrite,[status(thm)],[])).
% 4.78/3.67 tff(11253,plain,
% 4.78/3.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s137, s138)) | node18(s137, s138))),
% 4.78/3.67 inference(quant_inst,[status(thm)],[])).
% 4.78/3.67 tff(11254,plain,
% 4.78/3.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s137, s138)) | node18(s137, s138)),
% 4.78/3.67 inference(modus_ponens,[status(thm)],[11253, 11252])).
% 4.78/3.67 tff(11255,plain,
% 4.78/3.67 (node18(s137, s138)),
% 4.78/3.67 inference(unit_resolution,[status(thm)],[11254, 125, 11251])).
% 4.78/3.67 tff(11256,plain,
% 4.78/3.67 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s137) | (~node18(s137, s138)) | (~m_main_v_state1(s137, c_t1)) | (~m_main_v_state2(s137, c_n2)) | m_main_v_turn(s138, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s137) | (~node18(s137, s138)) | (~m_main_v_state1(s137, c_t1)) | (~m_main_v_state2(s137, c_n2)) | m_main_v_turn(s138, c_1))),
% 4.78/3.67 inference(rewrite,[status(thm)],[])).
% 4.78/3.67 tff(11257,plain,
% 4.78/3.67 (((~m_main_v_state1(s137, c_t1)) | (~m_main_v_state2(s137, c_n2)) | node15(s137) | (~node18(s137, s138)) | m_main_v_turn(s138, c_1)) <=> (node15(s137) | (~node18(s137, s138)) | (~m_main_v_state1(s137, c_t1)) | (~m_main_v_state2(s137, c_n2)) | m_main_v_turn(s138, c_1))),
% 4.78/3.67 inference(rewrite,[status(thm)],[])).
% 4.78/3.67 tff(11258,plain,
% 4.78/3.67 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s137, c_t1)) | (~m_main_v_state2(s137, c_n2)) | node15(s137) | (~node18(s137, s138)) | m_main_v_turn(s138, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s137) | (~node18(s137, s138)) | (~m_main_v_state1(s137, c_t1)) | (~m_main_v_state2(s137, c_n2)) | m_main_v_turn(s138, c_1)))),
% 4.78/3.67 inference(monotonicity,[status(thm)],[11257])).
% 4.78/3.67 tff(11259,plain,
% 4.78/3.67 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s137, c_t1)) | (~m_main_v_state2(s137, c_n2)) | node15(s137) | (~node18(s137, s138)) | m_main_v_turn(s138, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s137) | (~node18(s137, s138)) | (~m_main_v_state1(s137, c_t1)) | (~m_main_v_state2(s137, c_n2)) | m_main_v_turn(s138, c_1))),
% 4.78/3.67 inference(transitivity,[status(thm)],[11258, 11256])).
% 4.78/3.67 tff(11260,plain,
% 4.78/3.67 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s137, c_t1)) | (~m_main_v_state2(s137, c_n2)) | node15(s137) | (~node18(s137, s138)) | m_main_v_turn(s138, c_1))),
% 4.78/3.67 inference(quant_inst,[status(thm)],[])).
% 4.78/3.67 tff(11261,plain,
% 4.78/3.67 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s137) | (~node18(s137, s138)) | (~m_main_v_state1(s137, c_t1)) | (~m_main_v_state2(s137, c_n2)) | m_main_v_turn(s138, c_1)),
% 4.78/3.67 inference(modus_ponens,[status(thm)],[11260, 11259])).
% 4.78/3.67 tff(11262,plain,
% 4.78/3.67 (node15(s137) | (~m_main_v_state1(s137, c_t1)) | (~m_main_v_state2(s137, c_n2)) | m_main_v_turn(s138, c_1)),
% 4.78/3.67 inference(unit_resolution,[status(thm)],[11261, 992, 11255])).
% 4.78/3.67 tff(11263,plain,
% 4.78/3.67 (m_main_v_turn(s138, c_1)),
% 4.78/3.67 inference(unit_resolution,[status(thm)],[11262, 11244, 11236, 11200])).
% 4.78/3.67 tff(11264,plain,
% 4.78/3.67 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s138, c_1)) | (~m_main_v_turn(s138, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s138, c_1)) | (~m_main_v_turn(s138, c_2)))),
% 4.78/3.67 inference(rewrite,[status(thm)],[])).
% 4.78/3.67 tff(11265,plain,
% 4.78/3.67 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s138, c_1)) | (~m_main_v_turn(s138, c_2)))),
% 4.78/3.67 inference(quant_inst,[status(thm)],[])).
% 4.78/3.67 tff(11266,plain,
% 4.78/3.67 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s138, c_1)) | (~m_main_v_turn(s138, c_2))),
% 4.78/3.67 inference(modus_ponens,[status(thm)],[11265, 11264])).
% 4.78/3.67 tff(11267,plain,
% 4.78/3.67 (~m_main_v_turn(s138, c_2)),
% 4.78/3.67 inference(unit_resolution,[status(thm)],[11266, 156, 11263])).
% 4.78/3.67 tff(11268,plain,
% 4.78/3.67 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s138, c_2) | (~node12(s138)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s138, c_2) | (~node12(s138)))),
% 4.78/3.67 inference(rewrite,[status(thm)],[])).
% 4.78/3.67 tff(11269,plain,
% 4.78/3.67 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s138, c_2) | (~node12(s138)))),
% 4.78/3.67 inference(quant_inst,[status(thm)],[])).
% 4.78/3.67 tff(11270,plain,
% 4.78/3.67 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s138, c_2) | (~node12(s138))),
% 4.78/3.67 inference(modus_ponens,[status(thm)],[11269, 11268])).
% 4.78/3.67 tff(11271,plain,
% 4.78/3.67 (~node12(s138)),
% 4.78/3.67 inference(unit_resolution,[status(thm)],[11270, 184, 11267])).
% 4.78/3.67 tff(11272,plain,
% 4.78/3.67 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s137, s138)) | node14(s137, s138))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s137, s138)) | node14(s137, s138))),
% 4.78/3.67 inference(rewrite,[status(thm)],[])).
% 4.78/3.67 tff(11273,plain,
% 4.78/3.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s137, s138)) | node14(s137, s138))),
% 4.78/3.67 inference(quant_inst,[status(thm)],[])).
% 4.78/3.67 tff(11274,plain,
% 4.78/3.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s137, s138)) | node14(s137, s138)),
% 4.78/3.67 inference(modus_ponens,[status(thm)],[11273, 11272])).
% 4.78/3.67 tff(11275,plain,
% 4.78/3.67 (node14(s137, s138)),
% 4.78/3.67 inference(unit_resolution,[status(thm)],[11274, 46, 11251])).
% 4.78/3.67 tff(11276,plain,
% 4.78/3.67 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s137, c_t1)) | (~m_main_v_state2(s137, c_n2)) | (~node14(s137, s138)) | m_main_v_state2(s138, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s137, c_t1)) | (~m_main_v_state2(s137, c_n2)) | (~node14(s137, s138)) | m_main_v_state2(s138, c_t2))),
% 4.78/3.67 inference(rewrite,[status(thm)],[])).
% 4.78/3.67 tff(11277,plain,
% 4.78/3.67 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s137, c_t1)) | (~m_main_v_state2(s137, c_n2)) | (~node14(s137, s138)) | m_main_v_state2(s138, c_t2))),
% 4.78/3.67 inference(quant_inst,[status(thm)],[])).
% 4.78/3.67 tff(11278,plain,
% 4.78/3.67 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s137, c_t1)) | (~m_main_v_state2(s137, c_n2)) | (~node14(s137, s138)) | m_main_v_state2(s138, c_t2)),
% 4.78/3.67 inference(modus_ponens,[status(thm)],[11277, 11276])).
% 4.78/3.67 tff(11279,plain,
% 4.78/3.67 ((~m_main_v_state1(s137, c_t1)) | (~m_main_v_state2(s137, c_n2)) | m_main_v_state2(s138, c_t2)),
% 4.78/3.67 inference(unit_resolution,[status(thm)],[11278, 922, 11275])).
% 4.78/3.67 tff(11280,plain,
% 4.78/3.67 (m_main_v_state2(s138, c_t2)),
% 4.78/3.67 inference(unit_resolution,[status(thm)],[11279, 11200, 11236])).
% 4.78/3.67 tff(11281,plain,
% 4.78/3.67 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s138, c_n2)) | (~m_main_v_state2(s138, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s138, c_n2)) | (~m_main_v_state2(s138, c_t2)))),
% 4.78/3.67 inference(rewrite,[status(thm)],[])).
% 4.78/3.67 tff(11282,plain,
% 4.78/3.67 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s138, c_n2)) | (~m_main_v_state2(s138, c_t2)))),
% 4.78/3.67 inference(quant_inst,[status(thm)],[])).
% 4.78/3.67 tff(11283,plain,
% 4.78/3.67 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s138, c_n2)) | (~m_main_v_state2(s138, c_t2))),
% 4.78/3.67 inference(modus_ponens,[status(thm)],[11282, 11281])).
% 4.78/3.67 tff(11284,plain,
% 4.78/3.67 (~m_main_v_state2(s138, c_n2)),
% 4.78/3.67 inference(unit_resolution,[status(thm)],[11283, 77, 11280])).
% 4.78/3.67 tff(11285,plain,
% 4.78/3.67 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s138, c_n2) | (~node8(s138)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s138, c_n2) | (~node8(s138)))),
% 4.78/3.67 inference(rewrite,[status(thm)],[])).
% 4.78/3.67 tff(11286,plain,
% 4.78/3.67 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s138, c_n2) | (~node8(s138)))),
% 4.78/3.67 inference(quant_inst,[status(thm)],[])).
% 4.78/3.67 tff(11287,plain,
% 4.78/3.67 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s138, c_n2) | (~node8(s138))),
% 4.78/3.67 inference(modus_ponens,[status(thm)],[11286, 11285])).
% 4.78/3.67 tff(11288,plain,
% 4.78/3.67 (~node8(s138)),
% 4.78/3.67 inference(unit_resolution,[status(thm)],[11287, 271, 11284])).
% 4.78/3.67 tff(11289,plain,
% 4.78/3.67 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s138, c_n2) | (~node9(s138)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s138, c_n2) | (~node9(s138)))),
% 4.78/3.67 inference(rewrite,[status(thm)],[])).
% 4.78/3.67 tff(11290,plain,
% 4.78/3.67 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s138, c_n2) | (~node9(s138)))),
% 4.78/3.67 inference(quant_inst,[status(thm)],[])).
% 4.78/3.67 tff(11291,plain,
% 4.78/3.67 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s138, c_n2) | (~node9(s138))),
% 4.78/3.67 inference(modus_ponens,[status(thm)],[11290, 11289])).
% 4.78/3.67 tff(11292,plain,
% 4.78/3.67 (~node9(s138)),
% 4.78/3.67 inference(unit_resolution,[status(thm)],[11291, 88, 11284])).
% 4.78/3.67 tff(11293,plain,
% 4.78/3.67 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s138, c_n2) | (~node10(s138)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s138, c_n2) | (~node10(s138)))),
% 4.78/3.67 inference(rewrite,[status(thm)],[])).
% 4.78/3.67 tff(11294,plain,
% 4.78/3.67 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s138, c_n2) | (~node10(s138)))),
% 4.78/3.67 inference(quant_inst,[status(thm)],[])).
% 4.78/3.67 tff(11295,plain,
% 4.78/3.67 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s138, c_n2) | (~node10(s138))),
% 4.78/3.67 inference(modus_ponens,[status(thm)],[11294, 11293])).
% 4.78/3.67 tff(11296,plain,
% 4.78/3.67 (~node10(s138)),
% 4.78/3.67 inference(unit_resolution,[status(thm)],[11295, 249, 11284])).
% 4.78/3.67 tff(11297,plain,
% 4.78/3.67 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s138, c_t2)) | (~m_main_v_state2(s138, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s138, c_t2)) | (~m_main_v_state2(s138, c_c2)))),
% 4.78/3.67 inference(rewrite,[status(thm)],[])).
% 4.78/3.67 tff(11298,plain,
% 4.78/3.67 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s138, c_t2)) | (~m_main_v_state2(s138, c_c2)))),
% 4.78/3.67 inference(quant_inst,[status(thm)],[])).
% 4.78/3.67 tff(11299,plain,
% 4.78/3.67 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s138, c_t2)) | (~m_main_v_state2(s138, c_c2))),
% 4.78/3.67 inference(modus_ponens,[status(thm)],[11298, 11297])).
% 4.78/3.67 tff(11300,plain,
% 4.78/3.67 (~m_main_v_state2(s138, c_c2)),
% 4.78/3.67 inference(unit_resolution,[status(thm)],[11299, 260, 11280])).
% 4.78/3.67 tff(11301,plain,
% 4.78/3.67 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s137, c_n2)) | (~m_main_v_state2(s137, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s137, c_n2)) | (~m_main_v_state2(s137, c_c2)))),
% 4.78/3.67 inference(rewrite,[status(thm)],[])).
% 4.78/3.67 tff(11302,plain,
% 4.78/3.67 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s137, c_n2)) | (~m_main_v_state2(s137, c_c2)))),
% 4.78/3.67 inference(quant_inst,[status(thm)],[])).
% 4.78/3.67 tff(11303,plain,
% 4.78/3.67 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s137, c_n2)) | (~m_main_v_state2(s137, c_c2))),
% 4.78/3.67 inference(modus_ponens,[status(thm)],[11302, 11301])).
% 4.78/3.67 tff(11304,plain,
% 4.78/3.67 (~m_main_v_state2(s137, c_c2)),
% 4.78/3.67 inference(unit_resolution,[status(thm)],[11303, 697, 11236])).
% 4.78/3.67 tff(11305,plain,
% 4.78/3.67 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s137, c_c2) | (~node3(s137)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s137, c_c2) | (~node3(s137)))),
% 4.78/3.67 inference(rewrite,[status(thm)],[])).
% 4.78/3.67 tff(11306,plain,
% 4.78/3.67 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s137, c_c2) | (~node3(s137)))),
% 4.78/3.67 inference(quant_inst,[status(thm)],[])).
% 4.78/3.67 tff(11307,plain,
% 4.78/3.67 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s137, c_c2) | (~node3(s137))),
% 4.78/3.67 inference(modus_ponens,[status(thm)],[11306, 11305])).
% 4.78/3.67 tff(11308,plain,
% 4.78/3.67 (~node3(s137)),
% 4.78/3.67 inference(unit_resolution,[status(thm)],[11307, 399, 11304])).
% 4.78/3.67 tff(11309,plain,
% 4.78/3.67 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s136, c_n1) | (~m_main_v_state1(s137, c_n1)) | (~node6(s136, s137)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s136, c_n1) | (~m_main_v_state1(s137, c_n1)) | (~node6(s136, s137)))),
% 4.78/3.67 inference(rewrite,[status(thm)],[])).
% 4.78/3.67 tff(11310,plain,
% 4.78/3.67 (((~node6(s136, s137)) | m_main_v_state1(s136, c_n1) | (~m_main_v_state1(s137, c_n1))) <=> (m_main_v_state1(s136, c_n1) | (~m_main_v_state1(s137, c_n1)) | (~node6(s136, s137)))),
% 4.78/3.67 inference(rewrite,[status(thm)],[])).
% 4.78/3.67 tff(11311,plain,
% 4.78/3.67 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s136, s137)) | m_main_v_state1(s136, c_n1) | (~m_main_v_state1(s137, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s136, c_n1) | (~m_main_v_state1(s137, c_n1)) | (~node6(s136, s137))))),
% 4.78/3.67 inference(monotonicity,[status(thm)],[11310])).
% 4.78/3.67 tff(11312,plain,
% 4.78/3.67 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s136, s137)) | m_main_v_state1(s136, c_n1) | (~m_main_v_state1(s137, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s136, c_n1) | (~m_main_v_state1(s137, c_n1)) | (~node6(s136, s137)))),
% 4.78/3.67 inference(transitivity,[status(thm)],[11311, 11309])).
% 4.78/3.67 tff(11313,plain,
% 4.78/3.67 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s136, s137)) | m_main_v_state1(s136, c_n1) | (~m_main_v_state1(s137, c_n1)))),
% 4.78/3.67 inference(quant_inst,[status(thm)],[])).
% 4.78/3.67 tff(11314,plain,
% 4.78/3.67 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s136, c_n1) | (~m_main_v_state1(s137, c_n1)) | (~node6(s136, s137))),
% 4.78/3.67 inference(modus_ponens,[status(thm)],[11313, 11312])).
% 4.78/3.67 tff(11315,plain,
% 4.78/3.67 (~m_main_v_state1(s137, c_n1)),
% 4.78/3.67 inference(unit_resolution,[status(thm)],[11314, 835, 11108, 11193])).
% 4.78/3.67 tff(11316,plain,
% 4.78/3.67 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s137, c_n1) | (~node2(s137)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s137, c_n1) | (~node2(s137)))),
% 4.78/3.67 inference(rewrite,[status(thm)],[])).
% 4.78/3.67 tff(11317,plain,
% 4.78/3.67 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s137, c_n1) | (~node2(s137)))),
% 4.78/3.67 inference(quant_inst,[status(thm)],[])).
% 4.78/3.67 tff(11318,plain,
% 4.78/3.67 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s137, c_n1) | (~node2(s137))),
% 4.78/3.67 inference(modus_ponens,[status(thm)],[11317, 11316])).
% 4.78/3.67 tff(11319,plain,
% 4.78/3.67 (~node2(s137)),
% 4.78/3.67 inference(unit_resolution,[status(thm)],[11318, 787, 11315])).
% 4.78/3.67 tff(11320,plain,
% 4.78/3.67 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s137, c_t2) | (~node1(s137)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s137, c_t2) | (~node1(s137)))),
% 4.78/3.67 inference(rewrite,[status(thm)],[])).
% 4.78/3.67 tff(11321,plain,
% 4.78/3.67 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s137, c_t2) | (~node1(s137)))),
% 4.78/3.67 inference(quant_inst,[status(thm)],[])).
% 4.78/3.67 tff(11322,plain,
% 4.78/3.67 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s137, c_t2) | (~node1(s137))),
% 4.78/3.67 inference(modus_ponens,[status(thm)],[11321, 11320])).
% 4.78/3.67 tff(11323,plain,
% 4.78/3.67 (~node1(s137)),
% 4.78/3.67 inference(unit_resolution,[status(thm)],[11322, 195, 11240])).
% 4.78/3.67 tff(11324,plain,
% 4.78/3.67 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s137, s138)) | node7(s137, s138))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s137, s138)) | node7(s137, s138))),
% 4.78/3.68 inference(rewrite,[status(thm)],[])).
% 4.78/3.68 tff(11325,plain,
% 4.78/3.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s137, s138)) | node7(s137, s138))),
% 4.78/3.68 inference(quant_inst,[status(thm)],[])).
% 4.78/3.68 tff(11326,plain,
% 4.78/3.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s137, s138)) | node7(s137, s138)),
% 4.78/3.68 inference(modus_ponens,[status(thm)],[11325, 11324])).
% 4.78/3.68 tff(11327,plain,
% 4.78/3.68 (node7(s137, s138)),
% 4.78/3.68 inference(unit_resolution,[status(thm)],[11326, 206, 11251])).
% 4.78/3.68 tff(11328,plain,
% 4.78/3.68 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s137, c_t1)) | (~m_main_v_state2(s137, c_n2)) | m_main_v_state1(s138, c_c1) | node1(s137) | node2(s137) | node3(s137) | (~node7(s137, s138)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s137, c_t1)) | (~m_main_v_state2(s137, c_n2)) | m_main_v_state1(s138, c_c1) | node1(s137) | node2(s137) | node3(s137) | (~node7(s137, s138)))),
% 4.84/3.68 inference(rewrite,[status(thm)],[])).
% 4.84/3.68 tff(11329,plain,
% 4.84/3.68 (((~m_main_v_state1(s137, c_t1)) | (~m_main_v_state2(s137, c_n2)) | node1(s137) | node2(s137) | node3(s137) | (~node7(s137, s138)) | m_main_v_state1(s138, c_c1)) <=> ((~m_main_v_state1(s137, c_t1)) | (~m_main_v_state2(s137, c_n2)) | m_main_v_state1(s138, c_c1) | node1(s137) | node2(s137) | node3(s137) | (~node7(s137, s138)))),
% 4.84/3.68 inference(rewrite,[status(thm)],[])).
% 4.84/3.68 tff(11330,plain,
% 4.84/3.68 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s137, c_t1)) | (~m_main_v_state2(s137, c_n2)) | node1(s137) | node2(s137) | node3(s137) | (~node7(s137, s138)) | m_main_v_state1(s138, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s137, c_t1)) | (~m_main_v_state2(s137, c_n2)) | m_main_v_state1(s138, c_c1) | node1(s137) | node2(s137) | node3(s137) | (~node7(s137, s138))))),
% 4.84/3.68 inference(monotonicity,[status(thm)],[11329])).
% 4.84/3.68 tff(11331,plain,
% 4.84/3.68 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s137, c_t1)) | (~m_main_v_state2(s137, c_n2)) | node1(s137) | node2(s137) | node3(s137) | (~node7(s137, s138)) | m_main_v_state1(s138, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s137, c_t1)) | (~m_main_v_state2(s137, c_n2)) | m_main_v_state1(s138, c_c1) | node1(s137) | node2(s137) | node3(s137) | (~node7(s137, s138)))),
% 4.84/3.68 inference(transitivity,[status(thm)],[11330, 11328])).
% 4.84/3.68 tff(11332,plain,
% 4.84/3.68 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s137, c_t1)) | (~m_main_v_state2(s137, c_n2)) | node1(s137) | node2(s137) | node3(s137) | (~node7(s137, s138)) | m_main_v_state1(s138, c_c1))),
% 4.84/3.68 inference(quant_inst,[status(thm)],[])).
% 4.84/3.68 tff(11333,plain,
% 4.84/3.68 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s137, c_t1)) | (~m_main_v_state2(s137, c_n2)) | m_main_v_state1(s138, c_c1) | node1(s137) | node2(s137) | node3(s137) | (~node7(s137, s138))),
% 4.84/3.68 inference(modus_ponens,[status(thm)],[11332, 11331])).
% 4.84/3.68 tff(11334,plain,
% 4.84/3.68 ((~m_main_v_state1(s137, c_t1)) | (~m_main_v_state2(s137, c_n2)) | m_main_v_state1(s138, c_c1) | node1(s137) | node2(s137) | node3(s137)),
% 4.84/3.68 inference(unit_resolution,[status(thm)],[11333, 892, 11327])).
% 4.84/3.68 tff(11335,plain,
% 4.84/3.68 (m_main_v_state1(s138, c_c1)),
% 4.84/3.68 inference(unit_resolution,[status(thm)],[11334, 11323, 11236, 11200, 11319, 11308])).
% 4.84/3.68 tff(11336,plain,
% 4.84/3.68 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s138, c_n1)) | (~m_main_v_state1(s138, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s138, c_n1)) | (~m_main_v_state1(s138, c_c1)))),
% 4.84/3.68 inference(rewrite,[status(thm)],[])).
% 4.84/3.68 tff(11337,plain,
% 4.84/3.68 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s138, c_n1)) | (~m_main_v_state1(s138, c_c1)))),
% 4.84/3.68 inference(quant_inst,[status(thm)],[])).
% 4.84/3.68 tff(11338,plain,
% 4.84/3.68 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s138, c_n1)) | (~m_main_v_state1(s138, c_c1))),
% 4.84/3.68 inference(modus_ponens,[status(thm)],[11337, 11336])).
% 4.84/3.68 tff(11339,plain,
% 4.84/3.68 (~m_main_v_state1(s138, c_n1)),
% 4.84/3.68 inference(unit_resolution,[status(thm)],[11338, 454, 11335])).
% 4.84/3.68 tff(11340,plain,
% 4.84/3.68 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s138, c_n1) | (~node11(s138)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s138, c_n1) | (~node11(s138)))),
% 4.84/3.68 inference(rewrite,[status(thm)],[])).
% 4.84/3.68 tff(11341,plain,
% 4.84/3.68 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s138, c_n1) | (~node11(s138)))),
% 4.84/3.68 inference(quant_inst,[status(thm)],[])).
% 4.84/3.68 tff(11342,plain,
% 4.84/3.68 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s138, c_n1) | (~node11(s138))),
% 4.84/3.68 inference(modus_ponens,[status(thm)],[11341, 11340])).
% 4.84/3.68 tff(11343,plain,
% 4.84/3.68 (~node11(s138)),
% 4.84/3.68 inference(unit_resolution,[status(thm)],[11342, 238, 11339])).
% 4.84/3.68 tff(11344,plain,
% 4.84/3.68 (succ(s138, s139) <=> succ(s138, s139)),
% 4.84/3.68 inference(rewrite,[status(thm)],[])).
% 4.84/3.68 tff(11345,axiom,(succ(s138, s139)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound139')).
% 4.84/3.68 tff(11346,plain,
% 4.84/3.68 (succ(s138, s139)),
% 4.84/3.68 inference(modus_ponens,[status(thm)],[11345, 11344])).
% 4.84/3.68 tff(11347,plain,
% 4.84/3.68 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s138, s139)) | trans(s138, s139))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s138, s139)) | trans(s138, s139))),
% 4.84/3.68 inference(rewrite,[status(thm)],[])).
% 4.84/3.68 tff(11348,plain,
% 4.84/3.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s138, s139)) | trans(s138, s139))),
% 4.84/3.68 inference(quant_inst,[status(thm)],[])).
% 4.84/3.68 tff(11349,plain,
% 4.84/3.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s138, s139)) | trans(s138, s139)),
% 4.84/3.68 inference(modus_ponens,[status(thm)],[11348, 11347])).
% 4.84/3.68 tff(11350,plain,
% 4.84/3.68 (trans(s138, s139)),
% 4.84/3.68 inference(unit_resolution,[status(thm)],[11349, 11346, 32])).
% 4.84/3.68 tff(11351,plain,
% 4.84/3.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s138, s139)) | node14(s138, s139))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s138, s139)) | node14(s138, s139))),
% 4.84/3.68 inference(rewrite,[status(thm)],[])).
% 4.84/3.68 tff(11352,plain,
% 4.84/3.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s138, s139)) | node14(s138, s139))),
% 4.84/3.68 inference(quant_inst,[status(thm)],[])).
% 4.84/3.68 tff(11353,plain,
% 4.84/3.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s138, s139)) | node14(s138, s139)),
% 4.84/3.68 inference(modus_ponens,[status(thm)],[11352, 11351])).
% 4.84/3.68 tff(11354,plain,
% 4.84/3.68 (node14(s138, s139)),
% 4.84/3.68 inference(unit_resolution,[status(thm)],[11353, 46, 11350])).
% 4.84/3.68 tff(11355,plain,
% 4.84/3.68 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s138, c_c2) | node9(s138) | node8(s138) | node10(s138) | node11(s138) | node12(s138) | node13(s138, s139) | (~node14(s138, s139)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s138, c_c2) | node9(s138) | node8(s138) | node10(s138) | node11(s138) | node12(s138) | node13(s138, s139) | (~node14(s138, s139)))),
% 4.84/3.68 inference(rewrite,[status(thm)],[])).
% 4.84/3.68 tff(11356,plain,
% 4.84/3.68 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s138, c_c2) | node9(s138) | node8(s138) | node10(s138) | node11(s138) | node12(s138) | node13(s138, s139) | (~node14(s138, s139)))),
% 4.84/3.68 inference(quant_inst,[status(thm)],[])).
% 4.84/3.68 tff(11357,plain,
% 4.84/3.68 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s138, c_c2) | node9(s138) | node8(s138) | node10(s138) | node11(s138) | node12(s138) | node13(s138, s139) | (~node14(s138, s139))),
% 4.84/3.68 inference(modus_ponens,[status(thm)],[11356, 11355])).
% 4.84/3.68 tff(11358,plain,
% 4.84/3.68 (m_main_v_state2(s138, c_c2) | node9(s138) | node8(s138) | node10(s138) | node11(s138) | node12(s138) | node13(s138, s139)),
% 4.84/3.68 inference(unit_resolution,[status(thm)],[11357, 296, 11354])).
% 4.84/3.68 tff(11359,plain,
% 4.84/3.68 (node13(s138, s139)),
% 4.84/3.68 inference(unit_resolution,[status(thm)],[11358, 11343, 11300, 11296, 11292, 11288, 11271])).
% 4.84/3.68 tff(11360,plain,
% 4.84/3.68 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s138, c_n2) | (~m_main_v_state2(s139, c_n2)) | (~node13(s138, s139)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s138, c_n2) | (~m_main_v_state2(s139, c_n2)) | (~node13(s138, s139)))),
% 4.84/3.68 inference(rewrite,[status(thm)],[])).
% 4.84/3.68 tff(11361,plain,
% 4.84/3.68 (((~node13(s138, s139)) | m_main_v_state2(s138, c_n2) | (~m_main_v_state2(s139, c_n2))) <=> (m_main_v_state2(s138, c_n2) | (~m_main_v_state2(s139, c_n2)) | (~node13(s138, s139)))),
% 4.84/3.68 inference(rewrite,[status(thm)],[])).
% 4.84/3.68 tff(11362,plain,
% 4.84/3.68 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s138, s139)) | m_main_v_state2(s138, c_n2) | (~m_main_v_state2(s139, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s138, c_n2) | (~m_main_v_state2(s139, c_n2)) | (~node13(s138, s139))))),
% 4.84/3.68 inference(monotonicity,[status(thm)],[11361])).
% 4.84/3.68 tff(11363,plain,
% 4.84/3.68 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s138, s139)) | m_main_v_state2(s138, c_n2) | (~m_main_v_state2(s139, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s138, c_n2) | (~m_main_v_state2(s139, c_n2)) | (~node13(s138, s139)))),
% 4.84/3.68 inference(transitivity,[status(thm)],[11362, 11360])).
% 4.84/3.68 tff(11364,plain,
% 4.84/3.68 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s138, s139)) | m_main_v_state2(s138, c_n2) | (~m_main_v_state2(s139, c_n2)))),
% 4.84/3.68 inference(quant_inst,[status(thm)],[])).
% 4.84/3.68 tff(11365,plain,
% 4.84/3.68 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s138, c_n2) | (~m_main_v_state2(s139, c_n2)) | (~node13(s138, s139))),
% 4.84/3.68 inference(modus_ponens,[status(thm)],[11364, 11363])).
% 4.84/3.68 tff(11366,plain,
% 4.84/3.68 (~m_main_v_state2(s139, c_n2)),
% 4.84/3.68 inference(unit_resolution,[status(thm)],[11365, 311, 11284, 11359])).
% 4.84/3.68 tff(11367,plain,
% 4.84/3.68 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s139, c_n2) | (~node9(s139)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s139, c_n2) | (~node9(s139)))),
% 4.84/3.68 inference(rewrite,[status(thm)],[])).
% 4.84/3.68 tff(11368,plain,
% 4.84/3.68 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s139, c_n2) | (~node9(s139)))),
% 4.84/3.68 inference(quant_inst,[status(thm)],[])).
% 4.84/3.68 tff(11369,plain,
% 4.84/3.68 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s139, c_n2) | (~node9(s139))),
% 4.84/3.68 inference(modus_ponens,[status(thm)],[11368, 11367])).
% 4.84/3.68 tff(11370,plain,
% 4.84/3.68 (~node9(s139)),
% 4.84/3.68 inference(unit_resolution,[status(thm)],[11369, 88, 11366])).
% 4.84/3.68 tff(11371,plain,
% 4.84/3.68 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s139, c_n2) | (~node10(s139)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s139, c_n2) | (~node10(s139)))),
% 4.84/3.68 inference(rewrite,[status(thm)],[])).
% 4.84/3.68 tff(11372,plain,
% 4.84/3.68 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s139, c_n2) | (~node10(s139)))),
% 4.84/3.68 inference(quant_inst,[status(thm)],[])).
% 4.84/3.68 tff(11373,plain,
% 4.84/3.68 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s139, c_n2) | (~node10(s139))),
% 4.84/3.68 inference(modus_ponens,[status(thm)],[11372, 11371])).
% 4.84/3.68 tff(11374,plain,
% 4.84/3.68 (~node10(s139)),
% 4.84/3.68 inference(unit_resolution,[status(thm)],[11373, 249, 11366])).
% 4.84/3.68 tff(11375,plain,
% 4.84/3.68 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s138, c_t2)) | m_main_v_state2(s139, c_t2) | (~node13(s138, s139)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s138, c_t2)) | m_main_v_state2(s139, c_t2) | (~node13(s138, s139)))),
% 4.84/3.68 inference(rewrite,[status(thm)],[])).
% 4.84/3.68 tff(11376,plain,
% 4.84/3.68 (((~node13(s138, s139)) | (~m_main_v_state2(s138, c_t2)) | m_main_v_state2(s139, c_t2)) <=> ((~m_main_v_state2(s138, c_t2)) | m_main_v_state2(s139, c_t2) | (~node13(s138, s139)))),
% 4.84/3.68 inference(rewrite,[status(thm)],[])).
% 4.84/3.68 tff(11377,plain,
% 4.84/3.68 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s138, s139)) | (~m_main_v_state2(s138, c_t2)) | m_main_v_state2(s139, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s138, c_t2)) | m_main_v_state2(s139, c_t2) | (~node13(s138, s139))))),
% 4.84/3.68 inference(monotonicity,[status(thm)],[11376])).
% 4.84/3.68 tff(11378,plain,
% 4.84/3.68 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s138, s139)) | (~m_main_v_state2(s138, c_t2)) | m_main_v_state2(s139, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s138, c_t2)) | m_main_v_state2(s139, c_t2) | (~node13(s138, s139)))),
% 4.84/3.68 inference(transitivity,[status(thm)],[11377, 11375])).
% 4.84/3.68 tff(11379,plain,
% 4.84/3.68 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s138, s139)) | (~m_main_v_state2(s138, c_t2)) | m_main_v_state2(s139, c_t2))),
% 4.84/3.68 inference(quant_inst,[status(thm)],[])).
% 4.84/3.68 tff(11380,plain,
% 4.84/3.68 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s138, c_t2)) | m_main_v_state2(s139, c_t2) | (~node13(s138, s139))),
% 4.84/3.68 inference(modus_ponens,[status(thm)],[11379, 11378])).
% 4.84/3.68 tff(11381,plain,
% 4.84/3.68 (m_main_v_state2(s139, c_t2)),
% 4.84/3.68 inference(unit_resolution,[status(thm)],[11380, 518, 11280, 11359])).
% 4.84/3.68 tff(11382,plain,
% 4.84/3.68 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s138, c_t1)) | (~m_main_v_state1(s138, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s138, c_t1)) | (~m_main_v_state1(s138, c_c1)))),
% 4.84/3.68 inference(rewrite,[status(thm)],[])).
% 4.84/3.68 tff(11383,plain,
% 4.84/3.68 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s138, c_t1)) | (~m_main_v_state1(s138, c_c1)))),
% 4.84/3.68 inference(quant_inst,[status(thm)],[])).
% 4.84/3.68 tff(11384,plain,
% 4.84/3.68 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s138, c_t1)) | (~m_main_v_state1(s138, c_c1))),
% 4.84/3.68 inference(modus_ponens,[status(thm)],[11383, 11382])).
% 4.84/3.68 tff(11385,plain,
% 4.84/3.68 (~m_main_v_state1(s138, c_t1)),
% 4.84/3.68 inference(unit_resolution,[status(thm)],[11384, 539, 11335])).
% 4.84/3.68 tff(11386,plain,
% 4.84/3.68 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s138, c_t1) | (~node5(s138)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s138, c_t1) | (~node5(s138)))),
% 4.84/3.68 inference(rewrite,[status(thm)],[])).
% 4.84/3.68 tff(11387,plain,
% 4.84/3.68 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s138, c_t1) | (~node5(s138)))),
% 4.84/3.68 inference(quant_inst,[status(thm)],[])).
% 4.84/3.68 tff(11388,plain,
% 4.84/3.68 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s138, c_t1) | (~node5(s138))),
% 4.84/3.68 inference(modus_ponens,[status(thm)],[11387, 11386])).
% 4.84/3.68 tff(11389,plain,
% 4.84/3.68 (~node5(s138)),
% 4.84/3.68 inference(unit_resolution,[status(thm)],[11388, 550, 11385])).
% 4.84/3.68 tff(11390,plain,
% 4.84/3.68 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s138, c_n2) | (~node4(s138)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s138, c_n2) | (~node4(s138)))),
% 4.84/3.68 inference(rewrite,[status(thm)],[])).
% 4.84/3.68 tff(11391,plain,
% 4.84/3.68 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s138, c_n2) | (~node4(s138)))),
% 4.84/3.68 inference(quant_inst,[status(thm)],[])).
% 4.84/3.68 tff(11392,plain,
% 4.84/3.68 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s138, c_n2) | (~node4(s138))),
% 4.84/3.68 inference(modus_ponens,[status(thm)],[11391, 11390])).
% 4.84/3.68 tff(11393,plain,
% 4.84/3.68 (~node4(s138)),
% 4.84/3.68 inference(unit_resolution,[status(thm)],[11392, 388, 11284])).
% 4.84/3.68 tff(11394,plain,
% 4.84/3.68 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s138, c_c2) | (~node3(s138)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s138, c_c2) | (~node3(s138)))),
% 4.84/3.68 inference(rewrite,[status(thm)],[])).
% 4.84/3.68 tff(11395,plain,
% 4.84/3.68 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s138, c_c2) | (~node3(s138)))),
% 4.84/3.68 inference(quant_inst,[status(thm)],[])).
% 4.84/3.68 tff(11396,plain,
% 4.84/3.68 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s138, c_c2) | (~node3(s138))),
% 4.84/3.68 inference(modus_ponens,[status(thm)],[11395, 11394])).
% 4.84/3.68 tff(11397,plain,
% 4.84/3.68 (~node3(s138)),
% 4.84/3.68 inference(unit_resolution,[status(thm)],[11396, 399, 11300])).
% 4.84/3.68 tff(11398,plain,
% 4.84/3.68 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s138, c_n2) | (~node2(s138)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s138, c_n2) | (~node2(s138)))),
% 4.84/3.68 inference(rewrite,[status(thm)],[])).
% 4.84/3.68 tff(11399,plain,
% 4.84/3.68 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s138, c_n2) | (~node2(s138)))),
% 4.84/3.68 inference(quant_inst,[status(thm)],[])).
% 4.84/3.68 tff(11400,plain,
% 4.84/3.68 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s138, c_n2) | (~node2(s138))),
% 4.84/3.68 inference(modus_ponens,[status(thm)],[11399, 11398])).
% 4.84/3.68 tff(11401,plain,
% 4.84/3.68 (~node2(s138)),
% 4.84/3.68 inference(unit_resolution,[status(thm)],[11400, 410, 11284])).
% 4.84/3.68 tff(11402,plain,
% 4.84/3.68 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s138, c_n1) | (~node1(s138)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s138, c_n1) | (~node1(s138)))),
% 4.84/3.68 inference(rewrite,[status(thm)],[])).
% 4.84/3.68 tff(11403,plain,
% 4.84/3.68 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s138, c_n1) | (~node1(s138)))),
% 4.84/3.68 inference(quant_inst,[status(thm)],[])).
% 4.84/3.68 tff(11404,plain,
% 4.84/3.68 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s138, c_n1) | (~node1(s138))),
% 4.84/3.68 inference(modus_ponens,[status(thm)],[11403, 11402])).
% 4.84/3.68 tff(11405,plain,
% 4.84/3.68 (~node1(s138)),
% 4.84/3.68 inference(unit_resolution,[status(thm)],[11404, 421, 11339])).
% 4.84/3.68 tff(11406,plain,
% 4.84/3.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s138, s139)) | node7(s138, s139))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s138, s139)) | node7(s138, s139))),
% 4.84/3.68 inference(rewrite,[status(thm)],[])).
% 4.84/3.68 tff(11407,plain,
% 4.84/3.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s138, s139)) | node7(s138, s139))),
% 4.84/3.68 inference(quant_inst,[status(thm)],[])).
% 4.84/3.68 tff(11408,plain,
% 4.84/3.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s138, s139)) | node7(s138, s139)),
% 4.84/3.68 inference(modus_ponens,[status(thm)],[11407, 11406])).
% 4.84/3.68 tff(11409,plain,
% 4.84/3.68 (node7(s138, s139)),
% 4.84/3.68 inference(unit_resolution,[status(thm)],[11408, 206, 11350])).
% 4.84/3.68 tff(11410,plain,
% 4.84/3.68 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s139, c_n1) | (~m_main_v_state1(s138, c_c1)) | node1(s138) | node2(s138) | node3(s138) | node4(s138) | node5(s138) | (~node7(s138, s139)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s139, c_n1) | (~m_main_v_state1(s138, c_c1)) | node1(s138) | node2(s138) | node3(s138) | node4(s138) | node5(s138) | (~node7(s138, s139)))),
% 4.84/3.68 inference(rewrite,[status(thm)],[])).
% 4.84/3.68 tff(11411,plain,
% 4.84/3.68 (((~m_main_v_state1(s138, c_c1)) | node1(s138) | node2(s138) | node3(s138) | node4(s138) | node5(s138) | (~node7(s138, s139)) | m_main_v_state1(s139, c_n1)) <=> (m_main_v_state1(s139, c_n1) | (~m_main_v_state1(s138, c_c1)) | node1(s138) | node2(s138) | node3(s138) | node4(s138) | node5(s138) | (~node7(s138, s139)))),
% 4.84/3.68 inference(rewrite,[status(thm)],[])).
% 4.84/3.68 tff(11412,plain,
% 4.84/3.68 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s138, c_c1)) | node1(s138) | node2(s138) | node3(s138) | node4(s138) | node5(s138) | (~node7(s138, s139)) | m_main_v_state1(s139, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s139, c_n1) | (~m_main_v_state1(s138, c_c1)) | node1(s138) | node2(s138) | node3(s138) | node4(s138) | node5(s138) | (~node7(s138, s139))))),
% 4.84/3.68 inference(monotonicity,[status(thm)],[11411])).
% 4.84/3.68 tff(11413,plain,
% 4.84/3.68 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s138, c_c1)) | node1(s138) | node2(s138) | node3(s138) | node4(s138) | node5(s138) | (~node7(s138, s139)) | m_main_v_state1(s139, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s139, c_n1) | (~m_main_v_state1(s138, c_c1)) | node1(s138) | node2(s138) | node3(s138) | node4(s138) | node5(s138) | (~node7(s138, s139)))),
% 4.84/3.68 inference(transitivity,[status(thm)],[11412, 11410])).
% 4.84/3.68 tff(11414,plain,
% 4.84/3.68 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s138, c_c1)) | node1(s138) | node2(s138) | node3(s138) | node4(s138) | node5(s138) | (~node7(s138, s139)) | m_main_v_state1(s139, c_n1))),
% 4.84/3.68 inference(quant_inst,[status(thm)],[])).
% 4.84/3.68 tff(11415,plain,
% 4.84/3.68 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s139, c_n1) | (~m_main_v_state1(s138, c_c1)) | node1(s138) | node2(s138) | node3(s138) | node4(s138) | node5(s138) | (~node7(s138, s139))),
% 4.84/3.68 inference(modus_ponens,[status(thm)],[11414, 11413])).
% 4.84/3.68 tff(11416,plain,
% 4.84/3.68 (m_main_v_state1(s139, c_n1) | (~m_main_v_state1(s138, c_c1)) | node1(s138) | node2(s138) | node3(s138) | node4(s138) | node5(s138)),
% 4.84/3.68 inference(unit_resolution,[status(thm)],[11415, 584, 11409])).
% 4.84/3.68 tff(11417,plain,
% 4.84/3.68 (m_main_v_state1(s139, c_n1)),
% 4.84/3.68 inference(unit_resolution,[status(thm)],[11416, 11405, 11335, 11401, 11397, 11393, 11389])).
% 4.84/3.68 tff(11418,plain,
% 4.84/3.68 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s139, c_n2) | (~node8(s139)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s139, c_n2) | (~node8(s139)))),
% 4.84/3.68 inference(rewrite,[status(thm)],[])).
% 4.84/3.68 tff(11419,plain,
% 4.84/3.68 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s139, c_n2) | (~node8(s139)))),
% 4.84/3.68 inference(quant_inst,[status(thm)],[])).
% 4.84/3.68 tff(11420,plain,
% 4.84/3.68 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s139, c_n2) | (~node8(s139))),
% 4.84/3.68 inference(modus_ponens,[status(thm)],[11419, 11418])).
% 4.84/3.68 tff(11421,plain,
% 4.84/3.68 (~node8(s139)),
% 4.84/3.68 inference(unit_resolution,[status(thm)],[11420, 271, 11366])).
% 4.84/3.68 tff(11422,plain,
% 4.84/3.68 (succ(s139, s140) <=> succ(s139, s140)),
% 4.84/3.68 inference(rewrite,[status(thm)],[])).
% 4.84/3.68 tff(11423,axiom,(succ(s139, s140)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound140')).
% 4.84/3.68 tff(11424,plain,
% 4.84/3.68 (succ(s139, s140)),
% 4.84/3.68 inference(modus_ponens,[status(thm)],[11423, 11422])).
% 4.84/3.68 tff(11425,plain,
% 4.84/3.68 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s139, s140)) | trans(s139, s140))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s139, s140)) | trans(s139, s140))),
% 4.84/3.69 inference(rewrite,[status(thm)],[])).
% 4.84/3.69 tff(11426,plain,
% 4.84/3.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s139, s140)) | trans(s139, s140))),
% 4.84/3.69 inference(quant_inst,[status(thm)],[])).
% 4.84/3.69 tff(11427,plain,
% 4.84/3.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s139, s140)) | trans(s139, s140)),
% 4.84/3.69 inference(modus_ponens,[status(thm)],[11426, 11425])).
% 4.84/3.69 tff(11428,plain,
% 4.84/3.69 (trans(s139, s140)),
% 4.84/3.69 inference(unit_resolution,[status(thm)],[11427, 11424, 32])).
% 4.84/3.69 tff(11429,plain,
% 4.84/3.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s139, s140)) | node14(s139, s140))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s139, s140)) | node14(s139, s140))),
% 4.84/3.69 inference(rewrite,[status(thm)],[])).
% 4.84/3.69 tff(11430,plain,
% 4.84/3.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s139, s140)) | node14(s139, s140))),
% 4.84/3.69 inference(quant_inst,[status(thm)],[])).
% 4.84/3.69 tff(11431,plain,
% 4.84/3.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s139, s140)) | node14(s139, s140)),
% 4.84/3.69 inference(modus_ponens,[status(thm)],[11430, 11429])).
% 4.84/3.69 tff(11432,plain,
% 4.84/3.69 (node14(s139, s140)),
% 4.84/3.69 inference(unit_resolution,[status(thm)],[11431, 46, 11428])).
% 4.84/3.69 tff(11433,plain,
% 4.84/3.69 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s139, c_n1)) | (~m_main_v_state2(s139, c_t2)) | node9(s139) | node8(s139) | node10(s139) | (~node14(s139, s140)) | m_main_v_state2(s140, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s139, c_n1)) | (~m_main_v_state2(s139, c_t2)) | node9(s139) | node8(s139) | node10(s139) | (~node14(s139, s140)) | m_main_v_state2(s140, c_c2))),
% 4.84/3.69 inference(rewrite,[status(thm)],[])).
% 4.84/3.69 tff(11434,plain,
% 4.84/3.69 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s139, c_n1)) | (~m_main_v_state2(s139, c_t2)) | node9(s139) | node8(s139) | node10(s139) | (~node14(s139, s140)) | m_main_v_state2(s140, c_c2))),
% 4.84/3.69 inference(quant_inst,[status(thm)],[])).
% 4.84/3.69 tff(11435,plain,
% 4.84/3.69 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s139, c_n1)) | (~m_main_v_state2(s139, c_t2)) | node9(s139) | node8(s139) | node10(s139) | (~node14(s139, s140)) | m_main_v_state2(s140, c_c2)),
% 4.84/3.69 inference(modus_ponens,[status(thm)],[11434, 11433])).
% 4.84/3.69 tff(11436,plain,
% 4.84/3.69 ((~m_main_v_state1(s139, c_n1)) | (~m_main_v_state2(s139, c_t2)) | node9(s139) | node8(s139) | node10(s139) | m_main_v_state2(s140, c_c2)),
% 4.84/3.69 inference(unit_resolution,[status(thm)],[11435, 617, 11432])).
% 4.84/3.69 tff(11437,plain,
% 4.84/3.69 (m_main_v_state2(s140, c_c2)),
% 4.84/3.69 inference(unit_resolution,[status(thm)],[11436, 11421, 11417, 11381, 11374, 11370])).
% 4.84/3.69 tff(11438,plain,
% 4.84/3.69 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s140, c_t2)) | (~m_main_v_state2(s140, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s140, c_t2)) | (~m_main_v_state2(s140, c_c2)))),
% 4.84/3.69 inference(rewrite,[status(thm)],[])).
% 4.84/3.69 tff(11439,plain,
% 4.84/3.69 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s140, c_t2)) | (~m_main_v_state2(s140, c_c2)))),
% 4.84/3.69 inference(quant_inst,[status(thm)],[])).
% 4.84/3.69 tff(11440,plain,
% 4.84/3.69 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s140, c_t2)) | (~m_main_v_state2(s140, c_c2))),
% 4.84/3.69 inference(modus_ponens,[status(thm)],[11439, 11438])).
% 4.84/3.69 tff(11441,plain,
% 4.84/3.69 (~m_main_v_state2(s140, c_t2)),
% 4.84/3.69 inference(unit_resolution,[status(thm)],[11440, 260, 11437])).
% 4.84/3.69 tff(11442,plain,
% 4.84/3.69 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s140, c_t2) | (~node12(s140)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s140, c_t2) | (~node12(s140)))),
% 4.84/3.69 inference(rewrite,[status(thm)],[])).
% 4.84/3.69 tff(11443,plain,
% 4.84/3.69 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s140, c_t2) | (~node12(s140)))),
% 4.84/3.69 inference(quant_inst,[status(thm)],[])).
% 4.84/3.69 tff(11444,plain,
% 4.84/3.69 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s140, c_t2) | (~node12(s140))),
% 4.84/3.69 inference(modus_ponens,[status(thm)],[11443, 11442])).
% 4.84/3.69 tff(11445,plain,
% 4.84/3.69 (~node12(s140)),
% 4.84/3.69 inference(unit_resolution,[status(thm)],[11444, 633, 11441])).
% 4.84/3.69 tff(11446,plain,
% 4.84/3.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s139, s140)) | node7(s139, s140))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s139, s140)) | node7(s139, s140))),
% 4.84/3.69 inference(rewrite,[status(thm)],[])).
% 4.84/3.69 tff(11447,plain,
% 4.84/3.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s139, s140)) | node7(s139, s140))),
% 4.84/3.69 inference(quant_inst,[status(thm)],[])).
% 4.84/3.69 tff(11448,plain,
% 4.84/3.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s139, s140)) | node7(s139, s140)),
% 4.84/3.69 inference(modus_ponens,[status(thm)],[11447, 11446])).
% 4.84/3.69 tff(11449,plain,
% 4.84/3.69 (node7(s139, s140)),
% 4.84/3.69 inference(unit_resolution,[status(thm)],[11448, 206, 11428])).
% 4.84/3.69 tff(11450,plain,
% 4.84/3.69 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s139, c_n1)) | (~m_main_v_state2(s139, c_t2)) | (~node7(s139, s140)) | m_main_v_state1(s140, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s139, c_n1)) | (~m_main_v_state2(s139, c_t2)) | (~node7(s139, s140)) | m_main_v_state1(s140, c_t1))),
% 4.84/3.69 inference(rewrite,[status(thm)],[])).
% 4.84/3.69 tff(11451,plain,
% 4.84/3.69 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s139, c_n1)) | (~m_main_v_state2(s139, c_t2)) | (~node7(s139, s140)) | m_main_v_state1(s140, c_t1))),
% 4.84/3.69 inference(quant_inst,[status(thm)],[])).
% 4.84/3.69 tff(11452,plain,
% 4.84/3.69 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s139, c_n1)) | (~m_main_v_state2(s139, c_t2)) | (~node7(s139, s140)) | m_main_v_state1(s140, c_t1)),
% 4.84/3.69 inference(modus_ponens,[status(thm)],[11451, 11450])).
% 4.84/3.69 tff(11453,plain,
% 4.84/3.69 ((~m_main_v_state1(s139, c_n1)) | (~m_main_v_state2(s139, c_t2)) | m_main_v_state1(s140, c_t1)),
% 4.84/3.69 inference(unit_resolution,[status(thm)],[11452, 651, 11449])).
% 4.84/3.69 tff(11454,plain,
% 4.84/3.69 (m_main_v_state1(s140, c_t1)),
% 4.84/3.69 inference(unit_resolution,[status(thm)],[11453, 11381, 11417])).
% 4.84/3.69 tff(11455,plain,
% 4.84/3.69 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s140, c_n1)) | (~m_main_v_state1(s140, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s140, c_n1)) | (~m_main_v_state1(s140, c_t1)))),
% 4.84/3.69 inference(rewrite,[status(thm)],[])).
% 4.84/3.69 tff(11456,plain,
% 4.84/3.69 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s140, c_n1)) | (~m_main_v_state1(s140, c_t1)))),
% 4.84/3.69 inference(quant_inst,[status(thm)],[])).
% 4.84/3.69 tff(11457,plain,
% 4.84/3.69 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s140, c_n1)) | (~m_main_v_state1(s140, c_t1))),
% 4.84/3.69 inference(modus_ponens,[status(thm)],[11456, 11455])).
% 4.84/3.69 tff(11458,plain,
% 4.84/3.69 (~m_main_v_state1(s140, c_n1)),
% 4.84/3.69 inference(unit_resolution,[status(thm)],[11457, 10, 11454])).
% 4.84/3.69 tff(11459,plain,
% 4.84/3.69 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s140, c_n1) | (~node11(s140)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s140, c_n1) | (~node11(s140)))),
% 4.84/3.69 inference(rewrite,[status(thm)],[])).
% 4.84/3.69 tff(11460,plain,
% 4.84/3.69 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s140, c_n1) | (~node11(s140)))),
% 4.84/3.69 inference(quant_inst,[status(thm)],[])).
% 4.84/3.69 tff(11461,plain,
% 4.84/3.69 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s140, c_n1) | (~node11(s140))),
% 4.84/3.69 inference(modus_ponens,[status(thm)],[11460, 11459])).
% 4.84/3.69 tff(11462,plain,
% 4.84/3.69 (~node11(s140)),
% 4.84/3.69 inference(unit_resolution,[status(thm)],[11461, 238, 11458])).
% 4.84/3.69 tff(11463,plain,
% 4.84/3.69 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s140, c_t1)) | (~m_main_v_state1(s140, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s140, c_t1)) | (~m_main_v_state1(s140, c_c1)))),
% 4.84/3.69 inference(rewrite,[status(thm)],[])).
% 4.84/3.69 tff(11464,plain,
% 4.84/3.69 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s140, c_t1)) | (~m_main_v_state1(s140, c_c1)))),
% 4.84/3.69 inference(quant_inst,[status(thm)],[])).
% 4.84/3.69 tff(11465,plain,
% 4.84/3.69 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s140, c_t1)) | (~m_main_v_state1(s140, c_c1))),
% 4.84/3.69 inference(modus_ponens,[status(thm)],[11464, 11463])).
% 4.84/3.69 tff(11466,plain,
% 4.84/3.69 (~m_main_v_state1(s140, c_c1)),
% 4.84/3.69 inference(unit_resolution,[status(thm)],[11465, 539, 11454])).
% 4.84/3.69 tff(11467,plain,
% 4.84/3.69 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s140, c_c1) | (~node10(s140)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s140, c_c1) | (~node10(s140)))),
% 4.84/3.69 inference(rewrite,[status(thm)],[])).
% 4.84/3.69 tff(11468,plain,
% 4.84/3.69 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s140, c_c1) | (~node10(s140)))),
% 4.84/3.69 inference(quant_inst,[status(thm)],[])).
% 4.84/3.69 tff(11469,plain,
% 4.84/3.69 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s140, c_c1) | (~node10(s140))),
% 4.84/3.69 inference(modus_ponens,[status(thm)],[11468, 11467])).
% 4.84/3.69 tff(11470,plain,
% 4.84/3.69 (~node10(s140)),
% 4.84/3.69 inference(unit_resolution,[status(thm)],[11469, 675, 11466])).
% 4.84/3.69 tff(11471,plain,
% 4.84/3.69 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s140, c_n1) | (~node9(s140)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s140, c_n1) | (~node9(s140)))),
% 4.84/3.69 inference(rewrite,[status(thm)],[])).
% 4.84/3.69 tff(11472,plain,
% 4.84/3.69 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s140, c_n1) | (~node9(s140)))),
% 4.84/3.69 inference(quant_inst,[status(thm)],[])).
% 4.84/3.69 tff(11473,plain,
% 4.84/3.69 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s140, c_n1) | (~node9(s140))),
% 4.84/3.69 inference(modus_ponens,[status(thm)],[11472, 11471])).
% 4.84/3.69 tff(11474,plain,
% 4.84/3.69 (~node9(s140)),
% 4.84/3.69 inference(unit_resolution,[status(thm)],[11473, 686, 11458])).
% 4.84/3.69 tff(11475,plain,
% 4.84/3.69 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s140, c_n2)) | (~m_main_v_state2(s140, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s140, c_n2)) | (~m_main_v_state2(s140, c_c2)))),
% 4.84/3.69 inference(rewrite,[status(thm)],[])).
% 4.84/3.69 tff(11476,plain,
% 4.84/3.69 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s140, c_n2)) | (~m_main_v_state2(s140, c_c2)))),
% 4.84/3.69 inference(quant_inst,[status(thm)],[])).
% 4.84/3.69 tff(11477,plain,
% 4.84/3.69 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s140, c_n2)) | (~m_main_v_state2(s140, c_c2))),
% 4.84/3.69 inference(modus_ponens,[status(thm)],[11476, 11475])).
% 4.84/3.69 tff(11478,plain,
% 4.84/3.69 (~m_main_v_state2(s140, c_n2)),
% 4.84/3.69 inference(unit_resolution,[status(thm)],[11477, 697, 11437])).
% 4.84/3.69 tff(11479,plain,
% 4.84/3.69 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s140, c_n2) | (~node8(s140)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s140, c_n2) | (~node8(s140)))),
% 4.84/3.69 inference(rewrite,[status(thm)],[])).
% 4.84/3.69 tff(11480,plain,
% 4.84/3.69 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s140, c_n2) | (~node8(s140)))),
% 4.84/3.69 inference(quant_inst,[status(thm)],[])).
% 4.84/3.69 tff(11481,plain,
% 4.84/3.69 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s140, c_n2) | (~node8(s140))),
% 4.84/3.69 inference(modus_ponens,[status(thm)],[11480, 11479])).
% 4.84/3.69 tff(11482,plain,
% 4.84/3.69 (~node8(s140)),
% 4.84/3.69 inference(unit_resolution,[status(thm)],[11481, 271, 11478])).
% 4.84/3.69 tff(11483,plain,
% 4.84/3.69 (succ(s140, s141) <=> succ(s140, s141)),
% 4.84/3.69 inference(rewrite,[status(thm)],[])).
% 4.84/3.69 tff(11484,axiom,(succ(s140, s141)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound141')).
% 4.84/3.69 tff(11485,plain,
% 4.84/3.69 (succ(s140, s141)),
% 4.84/3.69 inference(modus_ponens,[status(thm)],[11484, 11483])).
% 4.84/3.69 tff(11486,plain,
% 4.84/3.69 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s140, s141)) | trans(s140, s141))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s140, s141)) | trans(s140, s141))),
% 4.84/3.69 inference(rewrite,[status(thm)],[])).
% 4.84/3.69 tff(11487,plain,
% 4.84/3.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s140, s141)) | trans(s140, s141))),
% 4.84/3.69 inference(quant_inst,[status(thm)],[])).
% 4.84/3.69 tff(11488,plain,
% 4.84/3.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s140, s141)) | trans(s140, s141)),
% 4.84/3.69 inference(modus_ponens,[status(thm)],[11487, 11486])).
% 4.84/3.69 tff(11489,plain,
% 4.84/3.69 (trans(s140, s141)),
% 4.84/3.69 inference(unit_resolution,[status(thm)],[11488, 11485, 32])).
% 4.84/3.69 tff(11490,plain,
% 4.84/3.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s140, s141)) | node14(s140, s141))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s140, s141)) | node14(s140, s141))),
% 4.84/3.69 inference(rewrite,[status(thm)],[])).
% 4.84/3.69 tff(11491,plain,
% 4.84/3.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s140, s141)) | node14(s140, s141))),
% 4.84/3.69 inference(quant_inst,[status(thm)],[])).
% 4.84/3.69 tff(11492,plain,
% 4.84/3.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s140, s141)) | node14(s140, s141)),
% 4.84/3.69 inference(modus_ponens,[status(thm)],[11491, 11490])).
% 4.84/3.69 tff(11493,plain,
% 4.84/3.69 (node14(s140, s141)),
% 4.84/3.69 inference(unit_resolution,[status(thm)],[11492, 46, 11489])).
% 4.84/3.69 tff(11494,plain,
% 4.84/3.69 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s141, c_n2) | node9(s140) | node8(s140) | node10(s140) | node11(s140) | node12(s140) | (~node14(s140, s141)) | (~m_main_v_state2(s140, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s141, c_n2) | node9(s140) | node8(s140) | node10(s140) | node11(s140) | node12(s140) | (~node14(s140, s141)) | (~m_main_v_state2(s140, c_c2)))),
% 4.84/3.69 inference(rewrite,[status(thm)],[])).
% 4.84/3.69 tff(11495,plain,
% 4.84/3.69 (((~m_main_v_state2(s140, c_c2)) | node9(s140) | node8(s140) | node10(s140) | node11(s140) | node12(s140) | (~node14(s140, s141)) | m_main_v_state2(s141, c_n2)) <=> (m_main_v_state2(s141, c_n2) | node9(s140) | node8(s140) | node10(s140) | node11(s140) | node12(s140) | (~node14(s140, s141)) | (~m_main_v_state2(s140, c_c2)))),
% 4.84/3.69 inference(rewrite,[status(thm)],[])).
% 4.84/3.69 tff(11496,plain,
% 4.84/3.69 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s140, c_c2)) | node9(s140) | node8(s140) | node10(s140) | node11(s140) | node12(s140) | (~node14(s140, s141)) | m_main_v_state2(s141, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s141, c_n2) | node9(s140) | node8(s140) | node10(s140) | node11(s140) | node12(s140) | (~node14(s140, s141)) | (~m_main_v_state2(s140, c_c2))))),
% 4.84/3.69 inference(monotonicity,[status(thm)],[11495])).
% 4.84/3.69 tff(11497,plain,
% 4.84/3.69 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s140, c_c2)) | node9(s140) | node8(s140) | node10(s140) | node11(s140) | node12(s140) | (~node14(s140, s141)) | m_main_v_state2(s141, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s141, c_n2) | node9(s140) | node8(s140) | node10(s140) | node11(s140) | node12(s140) | (~node14(s140, s141)) | (~m_main_v_state2(s140, c_c2)))),
% 4.84/3.69 inference(transitivity,[status(thm)],[11496, 11494])).
% 4.84/3.69 tff(11498,plain,
% 4.84/3.69 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s140, c_c2)) | node9(s140) | node8(s140) | node10(s140) | node11(s140) | node12(s140) | (~node14(s140, s141)) | m_main_v_state2(s141, c_n2))),
% 4.84/3.69 inference(quant_inst,[status(thm)],[])).
% 4.84/3.69 tff(11499,plain,
% 4.84/3.69 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s141, c_n2) | node9(s140) | node8(s140) | node10(s140) | node11(s140) | node12(s140) | (~node14(s140, s141)) | (~m_main_v_state2(s140, c_c2))),
% 4.84/3.69 inference(modus_ponens,[status(thm)],[11498, 11497])).
% 4.84/3.69 tff(11500,plain,
% 4.84/3.69 (m_main_v_state2(s141, c_n2) | node9(s140) | node8(s140) | node10(s140) | node11(s140) | node12(s140) | (~m_main_v_state2(s140, c_c2))),
% 4.84/3.69 inference(unit_resolution,[status(thm)],[11499, 726, 11493])).
% 4.84/3.69 tff(11501,plain,
% 4.84/3.69 (m_main_v_state2(s141, c_n2)),
% 4.84/3.69 inference(unit_resolution,[status(thm)],[11500, 11482, 11437, 11474, 11470, 11462, 11445])).
% 4.84/3.69 tff(11502,plain,
% 4.84/3.69 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s141, c_n2)) | (~m_main_v_state2(s141, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s141, c_n2)) | (~m_main_v_state2(s141, c_c2)))),
% 4.84/3.69 inference(rewrite,[status(thm)],[])).
% 4.84/3.69 tff(11503,plain,
% 4.84/3.69 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s141, c_n2)) | (~m_main_v_state2(s141, c_c2)))),
% 4.84/3.69 inference(quant_inst,[status(thm)],[])).
% 4.84/3.69 tff(11504,plain,
% 4.84/3.69 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s141, c_n2)) | (~m_main_v_state2(s141, c_c2))),
% 4.84/3.69 inference(modus_ponens,[status(thm)],[11503, 11502])).
% 4.84/3.69 tff(11505,plain,
% 4.84/3.69 (~m_main_v_state2(s141, c_c2)),
% 4.84/3.69 inference(unit_resolution,[status(thm)],[11504, 697, 11501])).
% 4.84/3.69 tff(11506,plain,
% 4.84/3.69 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s141, c_c2) | (~node3(s141)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s141, c_c2) | (~node3(s141)))),
% 4.84/3.69 inference(rewrite,[status(thm)],[])).
% 4.84/3.69 tff(11507,plain,
% 4.84/3.69 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s141, c_c2) | (~node3(s141)))),
% 4.84/3.69 inference(quant_inst,[status(thm)],[])).
% 4.84/3.69 tff(11508,plain,
% 4.84/3.69 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s141, c_c2) | (~node3(s141))),
% 4.84/3.69 inference(modus_ponens,[status(thm)],[11507, 11506])).
% 4.84/3.69 tff(11509,plain,
% 4.84/3.69 (~node3(s141)),
% 4.84/3.69 inference(unit_resolution,[status(thm)],[11508, 399, 11505])).
% 4.84/3.69 tff(11510,plain,
% 4.84/3.69 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s140, c_n1) | (~node1(s140)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s140, c_n1) | (~node1(s140)))),
% 4.84/3.69 inference(rewrite,[status(thm)],[])).
% 4.84/3.69 tff(11511,plain,
% 4.84/3.69 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s140, c_n1) | (~node1(s140)))),
% 4.84/3.69 inference(quant_inst,[status(thm)],[])).
% 4.84/3.69 tff(11512,plain,
% 4.84/3.69 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s140, c_n1) | (~node1(s140))),
% 4.84/3.69 inference(modus_ponens,[status(thm)],[11511, 11510])).
% 4.84/3.69 tff(11513,plain,
% 4.84/3.69 (~node1(s140)),
% 4.84/3.69 inference(unit_resolution,[status(thm)],[11512, 421, 11458])).
% 4.84/3.69 tff(11514,plain,
% 4.84/3.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s139, s140)) | node18(s139, s140))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s139, s140)) | node18(s139, s140))),
% 4.84/3.69 inference(rewrite,[status(thm)],[])).
% 4.84/3.69 tff(11515,plain,
% 4.84/3.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s139, s140)) | node18(s139, s140))),
% 4.84/3.69 inference(quant_inst,[status(thm)],[])).
% 4.84/3.69 tff(11516,plain,
% 4.84/3.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s139, s140)) | node18(s139, s140)),
% 4.84/3.69 inference(modus_ponens,[status(thm)],[11515, 11514])).
% 4.84/3.69 tff(11517,plain,
% 4.84/3.69 (node18(s139, s140)),
% 4.84/3.69 inference(unit_resolution,[status(thm)],[11516, 125, 11428])).
% 4.84/3.69 tff(11518,plain,
% 4.84/3.69 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s139, c_n1)) | (~m_main_v_state2(s139, c_t2)) | (~node18(s139, s140)) | m_main_v_turn(s140, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s139, c_n1)) | (~m_main_v_state2(s139, c_t2)) | (~node18(s139, s140)) | m_main_v_turn(s140, c_2))),
% 4.84/3.69 inference(rewrite,[status(thm)],[])).
% 4.84/3.69 tff(11519,plain,
% 4.84/3.69 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s139, c_n1)) | (~m_main_v_state2(s139, c_t2)) | (~node18(s139, s140)) | m_main_v_turn(s140, c_2))),
% 4.84/3.69 inference(quant_inst,[status(thm)],[])).
% 4.84/3.69 tff(11520,plain,
% 4.84/3.69 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s139, c_n1)) | (~m_main_v_state2(s139, c_t2)) | (~node18(s139, s140)) | m_main_v_turn(s140, c_2)),
% 4.84/3.69 inference(modus_ponens,[status(thm)],[11519, 11518])).
% 4.84/3.69 tff(11521,plain,
% 4.84/3.69 ((~m_main_v_state1(s139, c_n1)) | (~m_main_v_state2(s139, c_t2)) | m_main_v_turn(s140, c_2)),
% 4.84/3.69 inference(unit_resolution,[status(thm)],[11520, 760, 11517])).
% 4.84/3.69 tff(11522,plain,
% 4.84/3.69 (m_main_v_turn(s140, c_2)),
% 4.84/3.69 inference(unit_resolution,[status(thm)],[11521, 11381, 11417])).
% 4.84/3.69 tff(11523,plain,
% 4.84/3.69 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s140, c_1)) | (~m_main_v_turn(s140, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s140, c_1)) | (~m_main_v_turn(s140, c_2)))),
% 4.84/3.69 inference(rewrite,[status(thm)],[])).
% 4.84/3.69 tff(11524,plain,
% 4.84/3.69 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s140, c_1)) | (~m_main_v_turn(s140, c_2)))),
% 4.84/3.69 inference(quant_inst,[status(thm)],[])).
% 4.84/3.69 tff(11525,plain,
% 4.84/3.69 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s140, c_1)) | (~m_main_v_turn(s140, c_2))),
% 4.84/3.69 inference(modus_ponens,[status(thm)],[11524, 11523])).
% 4.84/3.69 tff(11526,plain,
% 4.84/3.69 (~m_main_v_turn(s140, c_1)),
% 4.84/3.69 inference(unit_resolution,[status(thm)],[11525, 156, 11522])).
% 4.84/3.69 tff(11527,plain,
% 4.84/3.69 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s140, c_1) | (~node5(s140)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s140, c_1) | (~node5(s140)))),
% 4.84/3.69 inference(rewrite,[status(thm)],[])).
% 4.84/3.69 tff(11528,plain,
% 4.84/3.69 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s140, c_1) | (~node5(s140)))),
% 4.84/3.69 inference(quant_inst,[status(thm)],[])).
% 4.84/3.69 tff(11529,plain,
% 4.84/3.69 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s140, c_1) | (~node5(s140))),
% 4.84/3.69 inference(modus_ponens,[status(thm)],[11528, 11527])).
% 4.84/3.69 tff(11530,plain,
% 4.84/3.69 (~node5(s140)),
% 4.84/3.69 inference(unit_resolution,[status(thm)],[11529, 776, 11526])).
% 4.84/3.69 tff(11531,plain,
% 4.84/3.69 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s140, c_n1) | (~node2(s140)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s140, c_n1) | (~node2(s140)))),
% 4.84/3.69 inference(rewrite,[status(thm)],[])).
% 4.84/3.69 tff(11532,plain,
% 4.84/3.69 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s140, c_n1) | (~node2(s140)))),
% 4.84/3.69 inference(quant_inst,[status(thm)],[])).
% 4.84/3.69 tff(11533,plain,
% 4.84/3.69 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s140, c_n1) | (~node2(s140))),
% 4.84/3.69 inference(modus_ponens,[status(thm)],[11532, 11531])).
% 4.84/3.69 tff(11534,plain,
% 4.84/3.69 (~node2(s140)),
% 4.84/3.69 inference(unit_resolution,[status(thm)],[11533, 787, 11458])).
% 4.84/3.69 tff(11535,plain,
% 4.84/3.69 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s140, c_n1) | (~node3(s140)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s140, c_n1) | (~node3(s140)))),
% 4.84/3.69 inference(rewrite,[status(thm)],[])).
% 4.84/3.69 tff(11536,plain,
% 4.84/3.69 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s140, c_n1) | (~node3(s140)))),
% 4.84/3.69 inference(quant_inst,[status(thm)],[])).
% 4.84/3.69 tff(11537,plain,
% 4.84/3.69 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s140, c_n1) | (~node3(s140))),
% 4.84/3.69 inference(modus_ponens,[status(thm)],[11536, 11535])).
% 4.84/3.69 tff(11538,plain,
% 4.84/3.69 (~node3(s140)),
% 4.84/3.69 inference(unit_resolution,[status(thm)],[11537, 798, 11458])).
% 4.84/3.69 tff(11539,plain,
% 4.84/3.69 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s140, c_n2) | (~node4(s140)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s140, c_n2) | (~node4(s140)))),
% 4.84/3.69 inference(rewrite,[status(thm)],[])).
% 4.84/3.69 tff(11540,plain,
% 4.84/3.69 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s140, c_n2) | (~node4(s140)))),
% 4.84/3.69 inference(quant_inst,[status(thm)],[])).
% 4.84/3.69 tff(11541,plain,
% 4.84/3.69 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s140, c_n2) | (~node4(s140))),
% 4.84/3.69 inference(modus_ponens,[status(thm)],[11540, 11539])).
% 4.84/3.69 tff(11542,plain,
% 4.84/3.69 (~node4(s140)),
% 4.84/3.69 inference(unit_resolution,[status(thm)],[11541, 388, 11478])).
% 4.84/3.69 tff(11543,plain,
% 4.84/3.69 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s140, s141)) | node7(s140, s141))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s140, s141)) | node7(s140, s141))),
% 4.84/3.69 inference(rewrite,[status(thm)],[])).
% 4.84/3.69 tff(11544,plain,
% 4.84/3.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s140, s141)) | node7(s140, s141))),
% 4.84/3.69 inference(quant_inst,[status(thm)],[])).
% 4.84/3.69 tff(11545,plain,
% 4.84/3.69 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s140, s141)) | node7(s140, s141)),
% 4.84/3.69 inference(modus_ponens,[status(thm)],[11544, 11543])).
% 4.84/3.69 tff(11546,plain,
% 4.84/3.69 (node7(s140, s141)),
% 4.84/3.69 inference(unit_resolution,[status(thm)],[11545, 206, 11489])).
% 4.84/3.69 tff(11547,plain,
% 4.84/3.69 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s140, c_c1) | node1(s140) | node2(s140) | node3(s140) | node4(s140) | node5(s140) | node6(s140, s141) | (~node7(s140, s141)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s140, c_c1) | node1(s140) | node2(s140) | node3(s140) | node4(s140) | node5(s140) | node6(s140, s141) | (~node7(s140, s141)))),
% 4.84/3.69 inference(rewrite,[status(thm)],[])).
% 4.84/3.69 tff(11548,plain,
% 4.84/3.69 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s140, c_c1) | node1(s140) | node2(s140) | node3(s140) | node4(s140) | node5(s140) | node6(s140, s141) | (~node7(s140, s141)))),
% 4.84/3.69 inference(quant_inst,[status(thm)],[])).
% 4.84/3.69 tff(11549,plain,
% 4.84/3.69 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s140, c_c1) | node1(s140) | node2(s140) | node3(s140) | node4(s140) | node5(s140) | node6(s140, s141) | (~node7(s140, s141))),
% 4.84/3.69 inference(modus_ponens,[status(thm)],[11548, 11547])).
% 4.84/3.70 tff(11550,plain,
% 4.84/3.70 (m_main_v_state1(s140, c_c1) | node1(s140) | node2(s140) | node3(s140) | node4(s140) | node5(s140) | node6(s140, s141)),
% 4.84/3.70 inference(unit_resolution,[status(thm)],[11549, 820, 11546])).
% 4.84/3.70 tff(11551,plain,
% 4.84/3.70 (node6(s140, s141)),
% 4.84/3.70 inference(unit_resolution,[status(thm)],[11550, 11542, 11466, 11538, 11534, 11530, 11513])).
% 4.84/3.70 tff(11552,plain,
% 4.84/3.70 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s140, c_n1) | (~m_main_v_state1(s141, c_n1)) | (~node6(s140, s141)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s140, c_n1) | (~m_main_v_state1(s141, c_n1)) | (~node6(s140, s141)))),
% 4.84/3.70 inference(rewrite,[status(thm)],[])).
% 4.84/3.70 tff(11553,plain,
% 4.84/3.70 (((~node6(s140, s141)) | m_main_v_state1(s140, c_n1) | (~m_main_v_state1(s141, c_n1))) <=> (m_main_v_state1(s140, c_n1) | (~m_main_v_state1(s141, c_n1)) | (~node6(s140, s141)))),
% 4.84/3.70 inference(rewrite,[status(thm)],[])).
% 4.84/3.70 tff(11554,plain,
% 4.84/3.70 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s140, s141)) | m_main_v_state1(s140, c_n1) | (~m_main_v_state1(s141, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s140, c_n1) | (~m_main_v_state1(s141, c_n1)) | (~node6(s140, s141))))),
% 4.84/3.70 inference(monotonicity,[status(thm)],[11553])).
% 4.84/3.70 tff(11555,plain,
% 4.84/3.70 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s140, s141)) | m_main_v_state1(s140, c_n1) | (~m_main_v_state1(s141, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s140, c_n1) | (~m_main_v_state1(s141, c_n1)) | (~node6(s140, s141)))),
% 4.84/3.70 inference(transitivity,[status(thm)],[11554, 11552])).
% 4.84/3.70 tff(11556,plain,
% 4.84/3.70 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s140, s141)) | m_main_v_state1(s140, c_n1) | (~m_main_v_state1(s141, c_n1)))),
% 4.84/3.70 inference(quant_inst,[status(thm)],[])).
% 4.84/3.70 tff(11557,plain,
% 4.84/3.70 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s140, c_n1) | (~m_main_v_state1(s141, c_n1)) | (~node6(s140, s141))),
% 4.84/3.70 inference(modus_ponens,[status(thm)],[11556, 11555])).
% 4.84/3.70 tff(11558,plain,
% 4.84/3.70 (~m_main_v_state1(s141, c_n1)),
% 4.84/3.70 inference(unit_resolution,[status(thm)],[11557, 835, 11458, 11551])).
% 4.84/3.70 tff(11559,plain,
% 4.84/3.70 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s141, c_n1) | (~node2(s141)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s141, c_n1) | (~node2(s141)))),
% 4.84/3.70 inference(rewrite,[status(thm)],[])).
% 4.84/3.70 tff(11560,plain,
% 4.84/3.70 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s141, c_n1) | (~node2(s141)))),
% 4.84/3.70 inference(quant_inst,[status(thm)],[])).
% 4.84/3.70 tff(11561,plain,
% 4.84/3.70 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s141, c_n1) | (~node2(s141))),
% 4.84/3.70 inference(modus_ponens,[status(thm)],[11560, 11559])).
% 4.84/3.70 tff(11562,plain,
% 4.84/3.70 (~node2(s141)),
% 4.84/3.70 inference(unit_resolution,[status(thm)],[11561, 787, 11558])).
% 4.84/3.70 tff(11563,plain,
% 4.84/3.70 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s140, c_t1)) | m_main_v_state1(s141, c_t1) | (~node6(s140, s141)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s140, c_t1)) | m_main_v_state1(s141, c_t1) | (~node6(s140, s141)))),
% 4.84/3.70 inference(rewrite,[status(thm)],[])).
% 4.84/3.70 tff(11564,plain,
% 4.84/3.70 (((~node6(s140, s141)) | (~m_main_v_state1(s140, c_t1)) | m_main_v_state1(s141, c_t1)) <=> ((~m_main_v_state1(s140, c_t1)) | m_main_v_state1(s141, c_t1) | (~node6(s140, s141)))),
% 4.84/3.70 inference(rewrite,[status(thm)],[])).
% 4.84/3.70 tff(11565,plain,
% 4.84/3.70 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s140, s141)) | (~m_main_v_state1(s140, c_t1)) | m_main_v_state1(s141, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s140, c_t1)) | m_main_v_state1(s141, c_t1) | (~node6(s140, s141))))),
% 4.84/3.70 inference(monotonicity,[status(thm)],[11564])).
% 4.84/3.70 tff(11566,plain,
% 4.84/3.70 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s140, s141)) | (~m_main_v_state1(s140, c_t1)) | m_main_v_state1(s141, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s140, c_t1)) | m_main_v_state1(s141, c_t1) | (~node6(s140, s141)))),
% 4.84/3.70 inference(transitivity,[status(thm)],[11565, 11563])).
% 4.84/3.70 tff(11567,plain,
% 4.84/3.70 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s140, s141)) | (~m_main_v_state1(s140, c_t1)) | m_main_v_state1(s141, c_t1))),
% 4.84/3.70 inference(quant_inst,[status(thm)],[])).
% 4.84/3.70 tff(11568,plain,
% 4.84/3.70 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s140, c_t1)) | m_main_v_state1(s141, c_t1) | (~node6(s140, s141))),
% 4.84/3.70 inference(modus_ponens,[status(thm)],[11567, 11566])).
% 4.84/3.70 tff(11569,plain,
% 4.84/3.70 (m_main_v_state1(s141, c_t1)),
% 4.84/3.70 inference(unit_resolution,[status(thm)],[11568, 856, 11454, 11551])).
% 4.84/3.70 tff(11570,plain,
% 4.84/3.70 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s141, c_n2)) | (~m_main_v_state2(s141, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s141, c_n2)) | (~m_main_v_state2(s141, c_t2)))),
% 4.84/3.70 inference(rewrite,[status(thm)],[])).
% 4.84/3.70 tff(11571,plain,
% 4.84/3.70 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s141, c_n2)) | (~m_main_v_state2(s141, c_t2)))),
% 4.84/3.70 inference(quant_inst,[status(thm)],[])).
% 4.84/3.70 tff(11572,plain,
% 4.84/3.70 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s141, c_n2)) | (~m_main_v_state2(s141, c_t2))),
% 4.84/3.70 inference(modus_ponens,[status(thm)],[11571, 11570])).
% 4.84/3.70 tff(11573,plain,
% 4.84/3.70 (~m_main_v_state2(s141, c_t2)),
% 4.84/3.70 inference(unit_resolution,[status(thm)],[11572, 77, 11501])).
% 4.84/3.70 tff(11574,plain,
% 4.84/3.70 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s141, c_t2) | (~node1(s141)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s141, c_t2) | (~node1(s141)))),
% 4.84/3.70 inference(rewrite,[status(thm)],[])).
% 4.84/3.70 tff(11575,plain,
% 4.84/3.70 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s141, c_t2) | (~node1(s141)))),
% 4.84/3.70 inference(quant_inst,[status(thm)],[])).
% 4.84/3.70 tff(11576,plain,
% 4.84/3.70 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s141, c_t2) | (~node1(s141))),
% 4.84/3.70 inference(modus_ponens,[status(thm)],[11575, 11574])).
% 4.84/3.70 tff(11577,plain,
% 4.84/3.70 (~node1(s141)),
% 4.84/3.70 inference(unit_resolution,[status(thm)],[11576, 195, 11573])).
% 4.84/3.70 tff(11578,plain,
% 4.84/3.70 (succ(s141, s142) <=> succ(s141, s142)),
% 4.84/3.70 inference(rewrite,[status(thm)],[])).
% 4.84/3.70 tff(11579,axiom,(succ(s141, s142)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound142')).
% 4.84/3.70 tff(11580,plain,
% 4.84/3.70 (succ(s141, s142)),
% 4.84/3.70 inference(modus_ponens,[status(thm)],[11579, 11578])).
% 4.84/3.70 tff(11581,plain,
% 4.84/3.70 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s141, s142)) | trans(s141, s142))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s141, s142)) | trans(s141, s142))),
% 4.84/3.70 inference(rewrite,[status(thm)],[])).
% 4.84/3.70 tff(11582,plain,
% 4.84/3.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s141, s142)) | trans(s141, s142))),
% 4.84/3.70 inference(quant_inst,[status(thm)],[])).
% 4.84/3.70 tff(11583,plain,
% 4.84/3.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s141, s142)) | trans(s141, s142)),
% 4.84/3.70 inference(modus_ponens,[status(thm)],[11582, 11581])).
% 4.84/3.70 tff(11584,plain,
% 4.84/3.70 (trans(s141, s142)),
% 4.84/3.70 inference(unit_resolution,[status(thm)],[11583, 11580, 32])).
% 4.84/3.70 tff(11585,plain,
% 4.84/3.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s141, s142)) | node7(s141, s142))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s141, s142)) | node7(s141, s142))),
% 4.84/3.70 inference(rewrite,[status(thm)],[])).
% 4.84/3.70 tff(11586,plain,
% 4.84/3.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s141, s142)) | node7(s141, s142))),
% 4.84/3.70 inference(quant_inst,[status(thm)],[])).
% 4.84/3.70 tff(11587,plain,
% 4.84/3.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s141, s142)) | node7(s141, s142)),
% 4.84/3.70 inference(modus_ponens,[status(thm)],[11586, 11585])).
% 4.84/3.70 tff(11588,plain,
% 4.84/3.70 (node7(s141, s142)),
% 4.84/3.70 inference(unit_resolution,[status(thm)],[11587, 206, 11584])).
% 4.84/3.70 tff(11589,plain,
% 4.84/3.70 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s141, c_t1)) | (~m_main_v_state2(s141, c_n2)) | m_main_v_state1(s142, c_c1) | node1(s141) | node2(s141) | node3(s141) | (~node7(s141, s142)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s141, c_t1)) | (~m_main_v_state2(s141, c_n2)) | m_main_v_state1(s142, c_c1) | node1(s141) | node2(s141) | node3(s141) | (~node7(s141, s142)))),
% 4.84/3.70 inference(rewrite,[status(thm)],[])).
% 4.84/3.70 tff(11590,plain,
% 4.84/3.70 (((~m_main_v_state1(s141, c_t1)) | (~m_main_v_state2(s141, c_n2)) | node1(s141) | node2(s141) | node3(s141) | (~node7(s141, s142)) | m_main_v_state1(s142, c_c1)) <=> ((~m_main_v_state1(s141, c_t1)) | (~m_main_v_state2(s141, c_n2)) | m_main_v_state1(s142, c_c1) | node1(s141) | node2(s141) | node3(s141) | (~node7(s141, s142)))),
% 4.84/3.70 inference(rewrite,[status(thm)],[])).
% 4.84/3.70 tff(11591,plain,
% 4.84/3.70 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s141, c_t1)) | (~m_main_v_state2(s141, c_n2)) | node1(s141) | node2(s141) | node3(s141) | (~node7(s141, s142)) | m_main_v_state1(s142, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s141, c_t1)) | (~m_main_v_state2(s141, c_n2)) | m_main_v_state1(s142, c_c1) | node1(s141) | node2(s141) | node3(s141) | (~node7(s141, s142))))),
% 4.84/3.70 inference(monotonicity,[status(thm)],[11590])).
% 4.84/3.70 tff(11592,plain,
% 4.84/3.70 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s141, c_t1)) | (~m_main_v_state2(s141, c_n2)) | node1(s141) | node2(s141) | node3(s141) | (~node7(s141, s142)) | m_main_v_state1(s142, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s141, c_t1)) | (~m_main_v_state2(s141, c_n2)) | m_main_v_state1(s142, c_c1) | node1(s141) | node2(s141) | node3(s141) | (~node7(s141, s142)))),
% 4.84/3.70 inference(transitivity,[status(thm)],[11591, 11589])).
% 4.84/3.70 tff(11593,plain,
% 4.84/3.70 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s141, c_t1)) | (~m_main_v_state2(s141, c_n2)) | node1(s141) | node2(s141) | node3(s141) | (~node7(s141, s142)) | m_main_v_state1(s142, c_c1))),
% 4.84/3.70 inference(quant_inst,[status(thm)],[])).
% 4.84/3.70 tff(11594,plain,
% 4.84/3.70 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s141, c_t1)) | (~m_main_v_state2(s141, c_n2)) | m_main_v_state1(s142, c_c1) | node1(s141) | node2(s141) | node3(s141) | (~node7(s141, s142))),
% 4.84/3.70 inference(modus_ponens,[status(thm)],[11593, 11592])).
% 4.84/3.70 tff(11595,plain,
% 4.84/3.70 ((~m_main_v_state1(s141, c_t1)) | (~m_main_v_state2(s141, c_n2)) | m_main_v_state1(s142, c_c1) | node1(s141) | node2(s141) | node3(s141)),
% 4.84/3.70 inference(unit_resolution,[status(thm)],[11594, 892, 11588])).
% 4.84/3.70 tff(11596,plain,
% 4.84/3.70 (m_main_v_state1(s142, c_c1)),
% 4.84/3.70 inference(unit_resolution,[status(thm)],[11595, 11577, 11501, 11569, 11562, 11509])).
% 4.84/3.70 tff(11597,plain,
% 4.84/3.70 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s142, c_t1)) | (~m_main_v_state1(s142, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s142, c_t1)) | (~m_main_v_state1(s142, c_c1)))),
% 4.84/3.70 inference(rewrite,[status(thm)],[])).
% 4.84/3.70 tff(11598,plain,
% 4.84/3.70 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s142, c_t1)) | (~m_main_v_state1(s142, c_c1)))),
% 4.84/3.70 inference(quant_inst,[status(thm)],[])).
% 4.84/3.70 tff(11599,plain,
% 4.84/3.70 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s142, c_t1)) | (~m_main_v_state1(s142, c_c1))),
% 4.84/3.70 inference(modus_ponens,[status(thm)],[11598, 11597])).
% 4.84/3.70 tff(11600,plain,
% 4.84/3.70 (~m_main_v_state1(s142, c_t1)),
% 4.84/3.70 inference(unit_resolution,[status(thm)],[11599, 539, 11596])).
% 4.84/3.70 tff(11601,plain,
% 4.84/3.70 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s142, c_t1) | (~node5(s142)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s142, c_t1) | (~node5(s142)))),
% 4.84/3.70 inference(rewrite,[status(thm)],[])).
% 4.84/3.70 tff(11602,plain,
% 4.84/3.70 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s142, c_t1) | (~node5(s142)))),
% 4.84/3.70 inference(quant_inst,[status(thm)],[])).
% 4.84/3.70 tff(11603,plain,
% 4.84/3.70 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s142, c_t1) | (~node5(s142))),
% 4.84/3.70 inference(modus_ponens,[status(thm)],[11602, 11601])).
% 4.84/3.70 tff(11604,plain,
% 4.84/3.70 (~node5(s142)),
% 4.84/3.70 inference(unit_resolution,[status(thm)],[11603, 550, 11600])).
% 4.84/3.70 tff(11605,plain,
% 4.84/3.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s141, s142)) | node14(s141, s142))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s141, s142)) | node14(s141, s142))),
% 4.84/3.70 inference(rewrite,[status(thm)],[])).
% 4.84/3.70 tff(11606,plain,
% 4.84/3.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s141, s142)) | node14(s141, s142))),
% 4.84/3.70 inference(quant_inst,[status(thm)],[])).
% 4.84/3.70 tff(11607,plain,
% 4.84/3.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s141, s142)) | node14(s141, s142)),
% 4.84/3.70 inference(modus_ponens,[status(thm)],[11606, 11605])).
% 4.84/3.70 tff(11608,plain,
% 4.84/3.70 (node14(s141, s142)),
% 4.84/3.70 inference(unit_resolution,[status(thm)],[11607, 46, 11584])).
% 4.84/3.70 tff(11609,plain,
% 4.84/3.70 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s141, c_t1)) | (~m_main_v_state2(s141, c_n2)) | (~node14(s141, s142)) | m_main_v_state2(s142, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s141, c_t1)) | (~m_main_v_state2(s141, c_n2)) | (~node14(s141, s142)) | m_main_v_state2(s142, c_t2))),
% 4.84/3.70 inference(rewrite,[status(thm)],[])).
% 4.84/3.70 tff(11610,plain,
% 4.84/3.70 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s141, c_t1)) | (~m_main_v_state2(s141, c_n2)) | (~node14(s141, s142)) | m_main_v_state2(s142, c_t2))),
% 4.84/3.70 inference(quant_inst,[status(thm)],[])).
% 4.84/3.70 tff(11611,plain,
% 4.84/3.70 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s141, c_t1)) | (~m_main_v_state2(s141, c_n2)) | (~node14(s141, s142)) | m_main_v_state2(s142, c_t2)),
% 4.84/3.70 inference(modus_ponens,[status(thm)],[11610, 11609])).
% 4.84/3.70 tff(11612,plain,
% 4.84/3.70 ((~m_main_v_state1(s141, c_t1)) | (~m_main_v_state2(s141, c_n2)) | m_main_v_state2(s142, c_t2)),
% 4.84/3.70 inference(unit_resolution,[status(thm)],[11611, 922, 11608])).
% 4.84/3.70 tff(11613,plain,
% 4.84/3.70 (m_main_v_state2(s142, c_t2)),
% 4.84/3.70 inference(unit_resolution,[status(thm)],[11612, 11569, 11501])).
% 4.84/3.70 tff(11614,plain,
% 4.84/3.70 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s142, c_n2)) | (~m_main_v_state2(s142, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s142, c_n2)) | (~m_main_v_state2(s142, c_t2)))),
% 4.84/3.70 inference(rewrite,[status(thm)],[])).
% 4.84/3.70 tff(11615,plain,
% 4.84/3.70 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s142, c_n2)) | (~m_main_v_state2(s142, c_t2)))),
% 4.84/3.70 inference(quant_inst,[status(thm)],[])).
% 4.84/3.70 tff(11616,plain,
% 4.84/3.70 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s142, c_n2)) | (~m_main_v_state2(s142, c_t2))),
% 4.84/3.70 inference(modus_ponens,[status(thm)],[11615, 11614])).
% 4.84/3.70 tff(11617,plain,
% 4.84/3.70 (~m_main_v_state2(s142, c_n2)),
% 4.84/3.70 inference(unit_resolution,[status(thm)],[11616, 77, 11613])).
% 4.84/3.70 tff(11618,plain,
% 4.84/3.70 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s142, c_n2) | (~node4(s142)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s142, c_n2) | (~node4(s142)))),
% 4.84/3.70 inference(rewrite,[status(thm)],[])).
% 4.84/3.70 tff(11619,plain,
% 4.84/3.70 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s142, c_n2) | (~node4(s142)))),
% 4.84/3.70 inference(quant_inst,[status(thm)],[])).
% 4.84/3.70 tff(11620,plain,
% 4.84/3.70 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s142, c_n2) | (~node4(s142))),
% 4.84/3.70 inference(modus_ponens,[status(thm)],[11619, 11618])).
% 4.84/3.70 tff(11621,plain,
% 4.84/3.70 (~node4(s142)),
% 4.84/3.70 inference(unit_resolution,[status(thm)],[11620, 388, 11617])).
% 4.84/3.70 tff(11622,plain,
% 4.84/3.70 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s142, c_t2)) | (~m_main_v_state2(s142, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s142, c_t2)) | (~m_main_v_state2(s142, c_c2)))),
% 4.84/3.70 inference(rewrite,[status(thm)],[])).
% 4.84/3.70 tff(11623,plain,
% 4.84/3.70 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s142, c_t2)) | (~m_main_v_state2(s142, c_c2)))),
% 4.84/3.70 inference(quant_inst,[status(thm)],[])).
% 4.84/3.70 tff(11624,plain,
% 4.84/3.70 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s142, c_t2)) | (~m_main_v_state2(s142, c_c2))),
% 4.84/3.70 inference(modus_ponens,[status(thm)],[11623, 11622])).
% 4.84/3.70 tff(11625,plain,
% 4.84/3.70 (~m_main_v_state2(s142, c_c2)),
% 4.84/3.70 inference(unit_resolution,[status(thm)],[11624, 260, 11613])).
% 4.84/3.70 tff(11626,plain,
% 4.84/3.70 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s142, c_c2) | (~node3(s142)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s142, c_c2) | (~node3(s142)))),
% 4.84/3.70 inference(rewrite,[status(thm)],[])).
% 4.84/3.70 tff(11627,plain,
% 4.84/3.70 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s142, c_c2) | (~node3(s142)))),
% 4.84/3.70 inference(quant_inst,[status(thm)],[])).
% 4.84/3.70 tff(11628,plain,
% 4.84/3.70 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s142, c_c2) | (~node3(s142))),
% 4.84/3.70 inference(modus_ponens,[status(thm)],[11627, 11626])).
% 4.84/3.70 tff(11629,plain,
% 4.84/3.70 (~node3(s142)),
% 4.84/3.70 inference(unit_resolution,[status(thm)],[11628, 399, 11625])).
% 4.84/3.70 tff(11630,plain,
% 4.84/3.70 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s142, c_n2) | (~node2(s142)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s142, c_n2) | (~node2(s142)))),
% 4.84/3.70 inference(rewrite,[status(thm)],[])).
% 4.84/3.70 tff(11631,plain,
% 4.84/3.70 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s142, c_n2) | (~node2(s142)))),
% 4.84/3.70 inference(quant_inst,[status(thm)],[])).
% 4.84/3.70 tff(11632,plain,
% 4.84/3.70 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s142, c_n2) | (~node2(s142))),
% 4.84/3.70 inference(modus_ponens,[status(thm)],[11631, 11630])).
% 4.84/3.70 tff(11633,plain,
% 4.84/3.70 (~node2(s142)),
% 4.84/3.70 inference(unit_resolution,[status(thm)],[11632, 410, 11617])).
% 4.84/3.70 tff(11634,plain,
% 4.84/3.70 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s142, c_n1)) | (~m_main_v_state1(s142, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s142, c_n1)) | (~m_main_v_state1(s142, c_c1)))),
% 4.84/3.70 inference(rewrite,[status(thm)],[])).
% 4.84/3.70 tff(11635,plain,
% 4.84/3.70 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s142, c_n1)) | (~m_main_v_state1(s142, c_c1)))),
% 4.84/3.70 inference(quant_inst,[status(thm)],[])).
% 4.84/3.70 tff(11636,plain,
% 4.84/3.70 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s142, c_n1)) | (~m_main_v_state1(s142, c_c1))),
% 4.84/3.70 inference(modus_ponens,[status(thm)],[11635, 11634])).
% 4.84/3.70 tff(11637,plain,
% 4.84/3.70 (~m_main_v_state1(s142, c_n1)),
% 4.84/3.70 inference(unit_resolution,[status(thm)],[11636, 454, 11596])).
% 4.84/3.70 tff(11638,plain,
% 4.84/3.70 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s142, c_n1) | (~node1(s142)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s142, c_n1) | (~node1(s142)))),
% 4.84/3.70 inference(rewrite,[status(thm)],[])).
% 4.84/3.70 tff(11639,plain,
% 4.84/3.70 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s142, c_n1) | (~node1(s142)))),
% 4.84/3.70 inference(quant_inst,[status(thm)],[])).
% 4.84/3.70 tff(11640,plain,
% 4.84/3.70 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s142, c_n1) | (~node1(s142))),
% 4.84/3.70 inference(modus_ponens,[status(thm)],[11639, 11638])).
% 4.84/3.70 tff(11641,plain,
% 4.84/3.70 (~node1(s142)),
% 4.84/3.70 inference(unit_resolution,[status(thm)],[11640, 421, 11637])).
% 4.84/3.70 tff(11642,plain,
% 4.84/3.70 (succ(s142, s143) <=> succ(s142, s143)),
% 4.84/3.70 inference(rewrite,[status(thm)],[])).
% 4.84/3.70 tff(11643,axiom,(succ(s142, s143)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound143')).
% 4.84/3.70 tff(11644,plain,
% 4.84/3.70 (succ(s142, s143)),
% 4.84/3.70 inference(modus_ponens,[status(thm)],[11643, 11642])).
% 4.84/3.70 tff(11645,plain,
% 4.84/3.70 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s142, s143)) | trans(s142, s143))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s142, s143)) | trans(s142, s143))),
% 4.84/3.70 inference(rewrite,[status(thm)],[])).
% 4.84/3.70 tff(11646,plain,
% 4.84/3.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s142, s143)) | trans(s142, s143))),
% 4.84/3.70 inference(quant_inst,[status(thm)],[])).
% 4.84/3.70 tff(11647,plain,
% 4.84/3.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s142, s143)) | trans(s142, s143)),
% 4.84/3.70 inference(modus_ponens,[status(thm)],[11646, 11645])).
% 4.84/3.70 tff(11648,plain,
% 4.84/3.70 (trans(s142, s143)),
% 4.84/3.70 inference(unit_resolution,[status(thm)],[11647, 11644, 32])).
% 4.84/3.70 tff(11649,plain,
% 4.84/3.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s142, s143)) | node7(s142, s143))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s142, s143)) | node7(s142, s143))),
% 4.84/3.70 inference(rewrite,[status(thm)],[])).
% 4.84/3.70 tff(11650,plain,
% 4.84/3.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s142, s143)) | node7(s142, s143))),
% 4.84/3.70 inference(quant_inst,[status(thm)],[])).
% 4.84/3.70 tff(11651,plain,
% 4.84/3.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s142, s143)) | node7(s142, s143)),
% 4.84/3.70 inference(modus_ponens,[status(thm)],[11650, 11649])).
% 4.84/3.70 tff(11652,plain,
% 4.84/3.70 (node7(s142, s143)),
% 4.84/3.70 inference(unit_resolution,[status(thm)],[11651, 206, 11648])).
% 4.84/3.70 tff(11653,plain,
% 4.84/3.70 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s143, c_n1) | (~m_main_v_state1(s142, c_c1)) | node1(s142) | node2(s142) | node3(s142) | node4(s142) | node5(s142) | (~node7(s142, s143)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s143, c_n1) | (~m_main_v_state1(s142, c_c1)) | node1(s142) | node2(s142) | node3(s142) | node4(s142) | node5(s142) | (~node7(s142, s143)))),
% 4.84/3.70 inference(rewrite,[status(thm)],[])).
% 4.84/3.70 tff(11654,plain,
% 4.84/3.70 (((~m_main_v_state1(s142, c_c1)) | node1(s142) | node2(s142) | node3(s142) | node4(s142) | node5(s142) | (~node7(s142, s143)) | m_main_v_state1(s143, c_n1)) <=> (m_main_v_state1(s143, c_n1) | (~m_main_v_state1(s142, c_c1)) | node1(s142) | node2(s142) | node3(s142) | node4(s142) | node5(s142) | (~node7(s142, s143)))),
% 4.84/3.70 inference(rewrite,[status(thm)],[])).
% 4.84/3.70 tff(11655,plain,
% 4.84/3.70 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s142, c_c1)) | node1(s142) | node2(s142) | node3(s142) | node4(s142) | node5(s142) | (~node7(s142, s143)) | m_main_v_state1(s143, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s143, c_n1) | (~m_main_v_state1(s142, c_c1)) | node1(s142) | node2(s142) | node3(s142) | node4(s142) | node5(s142) | (~node7(s142, s143))))),
% 4.84/3.70 inference(monotonicity,[status(thm)],[11654])).
% 4.84/3.70 tff(11656,plain,
% 4.84/3.70 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s142, c_c1)) | node1(s142) | node2(s142) | node3(s142) | node4(s142) | node5(s142) | (~node7(s142, s143)) | m_main_v_state1(s143, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s143, c_n1) | (~m_main_v_state1(s142, c_c1)) | node1(s142) | node2(s142) | node3(s142) | node4(s142) | node5(s142) | (~node7(s142, s143)))),
% 4.84/3.70 inference(transitivity,[status(thm)],[11655, 11653])).
% 4.84/3.70 tff(11657,plain,
% 4.84/3.70 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s142, c_c1)) | node1(s142) | node2(s142) | node3(s142) | node4(s142) | node5(s142) | (~node7(s142, s143)) | m_main_v_state1(s143, c_n1))),
% 4.84/3.70 inference(quant_inst,[status(thm)],[])).
% 4.84/3.70 tff(11658,plain,
% 4.84/3.70 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s143, c_n1) | (~m_main_v_state1(s142, c_c1)) | node1(s142) | node2(s142) | node3(s142) | node4(s142) | node5(s142) | (~node7(s142, s143))),
% 4.84/3.70 inference(modus_ponens,[status(thm)],[11657, 11656])).
% 4.84/3.70 tff(11659,plain,
% 4.84/3.70 (m_main_v_state1(s143, c_n1) | (~m_main_v_state1(s142, c_c1)) | node1(s142) | node2(s142) | node3(s142) | node4(s142) | node5(s142)),
% 4.84/3.70 inference(unit_resolution,[status(thm)],[11658, 584, 11652])).
% 4.84/3.70 tff(11660,plain,
% 4.84/3.70 (m_main_v_state1(s143, c_n1)),
% 4.84/3.70 inference(unit_resolution,[status(thm)],[11659, 11641, 11596, 11633, 11629, 11621, 11604])).
% 4.84/3.70 tff(11661,plain,
% 4.84/3.70 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s141, c_t2) | (~node15(s141)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s141, c_t2) | (~node15(s141)))),
% 4.84/3.70 inference(rewrite,[status(thm)],[])).
% 4.84/3.70 tff(11662,plain,
% 4.84/3.70 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s141, c_t2) | (~node15(s141)))),
% 4.84/3.70 inference(quant_inst,[status(thm)],[])).
% 4.84/3.70 tff(11663,plain,
% 4.84/3.70 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s141, c_t2) | (~node15(s141))),
% 4.84/3.70 inference(modus_ponens,[status(thm)],[11662, 11661])).
% 4.84/3.70 tff(11664,plain,
% 4.84/3.70 (~node15(s141)),
% 4.84/3.70 inference(unit_resolution,[status(thm)],[11663, 103, 11573])).
% 4.84/3.70 tff(11665,plain,
% 4.84/3.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s141, s142)) | node18(s141, s142))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s141, s142)) | node18(s141, s142))),
% 4.84/3.70 inference(rewrite,[status(thm)],[])).
% 4.84/3.71 tff(11666,plain,
% 4.84/3.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s141, s142)) | node18(s141, s142))),
% 4.84/3.71 inference(quant_inst,[status(thm)],[])).
% 4.84/3.71 tff(11667,plain,
% 4.84/3.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s141, s142)) | node18(s141, s142)),
% 4.84/3.71 inference(modus_ponens,[status(thm)],[11666, 11665])).
% 4.84/3.71 tff(11668,plain,
% 4.84/3.71 (node18(s141, s142)),
% 4.84/3.71 inference(unit_resolution,[status(thm)],[11667, 125, 11584])).
% 4.84/3.71 tff(11669,plain,
% 4.84/3.71 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s141) | (~node18(s141, s142)) | (~m_main_v_state1(s141, c_t1)) | (~m_main_v_state2(s141, c_n2)) | m_main_v_turn(s142, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s141) | (~node18(s141, s142)) | (~m_main_v_state1(s141, c_t1)) | (~m_main_v_state2(s141, c_n2)) | m_main_v_turn(s142, c_1))),
% 4.84/3.71 inference(rewrite,[status(thm)],[])).
% 4.84/3.71 tff(11670,plain,
% 4.84/3.71 (((~m_main_v_state1(s141, c_t1)) | (~m_main_v_state2(s141, c_n2)) | node15(s141) | (~node18(s141, s142)) | m_main_v_turn(s142, c_1)) <=> (node15(s141) | (~node18(s141, s142)) | (~m_main_v_state1(s141, c_t1)) | (~m_main_v_state2(s141, c_n2)) | m_main_v_turn(s142, c_1))),
% 4.84/3.71 inference(rewrite,[status(thm)],[])).
% 4.84/3.71 tff(11671,plain,
% 4.84/3.71 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s141, c_t1)) | (~m_main_v_state2(s141, c_n2)) | node15(s141) | (~node18(s141, s142)) | m_main_v_turn(s142, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s141) | (~node18(s141, s142)) | (~m_main_v_state1(s141, c_t1)) | (~m_main_v_state2(s141, c_n2)) | m_main_v_turn(s142, c_1)))),
% 4.84/3.71 inference(monotonicity,[status(thm)],[11670])).
% 4.84/3.71 tff(11672,plain,
% 4.84/3.71 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s141, c_t1)) | (~m_main_v_state2(s141, c_n2)) | node15(s141) | (~node18(s141, s142)) | m_main_v_turn(s142, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s141) | (~node18(s141, s142)) | (~m_main_v_state1(s141, c_t1)) | (~m_main_v_state2(s141, c_n2)) | m_main_v_turn(s142, c_1))),
% 4.84/3.71 inference(transitivity,[status(thm)],[11671, 11669])).
% 4.84/3.71 tff(11673,plain,
% 4.84/3.71 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s141, c_t1)) | (~m_main_v_state2(s141, c_n2)) | node15(s141) | (~node18(s141, s142)) | m_main_v_turn(s142, c_1))),
% 4.84/3.71 inference(quant_inst,[status(thm)],[])).
% 4.84/3.71 tff(11674,plain,
% 4.84/3.71 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s141) | (~node18(s141, s142)) | (~m_main_v_state1(s141, c_t1)) | (~m_main_v_state2(s141, c_n2)) | m_main_v_turn(s142, c_1)),
% 4.84/3.71 inference(modus_ponens,[status(thm)],[11673, 11672])).
% 4.84/3.71 tff(11675,plain,
% 4.84/3.71 (node15(s141) | (~m_main_v_state1(s141, c_t1)) | (~m_main_v_state2(s141, c_n2)) | m_main_v_turn(s142, c_1)),
% 4.84/3.71 inference(unit_resolution,[status(thm)],[11674, 992, 11668])).
% 4.84/3.71 tff(11676,plain,
% 4.84/3.71 (m_main_v_turn(s142, c_1)),
% 4.84/3.71 inference(unit_resolution,[status(thm)],[11675, 11664, 11501, 11569])).
% 4.84/3.71 tff(11677,plain,
% 4.84/3.71 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s142, c_1)) | (~m_main_v_turn(s142, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s142, c_1)) | (~m_main_v_turn(s142, c_2)))),
% 4.84/3.71 inference(rewrite,[status(thm)],[])).
% 4.84/3.71 tff(11678,plain,
% 4.84/3.71 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s142, c_1)) | (~m_main_v_turn(s142, c_2)))),
% 4.84/3.71 inference(quant_inst,[status(thm)],[])).
% 4.84/3.71 tff(11679,plain,
% 4.84/3.71 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s142, c_1)) | (~m_main_v_turn(s142, c_2))),
% 4.84/3.71 inference(modus_ponens,[status(thm)],[11678, 11677])).
% 4.84/3.71 tff(11680,plain,
% 4.84/3.71 (~m_main_v_turn(s142, c_2)),
% 4.84/3.71 inference(unit_resolution,[status(thm)],[11679, 156, 11676])).
% 4.84/3.71 tff(11681,plain,
% 4.84/3.71 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s142, c_2) | (~node12(s142)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s142, c_2) | (~node12(s142)))),
% 4.84/3.71 inference(rewrite,[status(thm)],[])).
% 4.84/3.71 tff(11682,plain,
% 4.84/3.71 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s142, c_2) | (~node12(s142)))),
% 4.84/3.71 inference(quant_inst,[status(thm)],[])).
% 4.84/3.71 tff(11683,plain,
% 4.84/3.71 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s142, c_2) | (~node12(s142))),
% 4.84/3.71 inference(modus_ponens,[status(thm)],[11682, 11681])).
% 4.84/3.71 tff(11684,plain,
% 4.84/3.71 (~node12(s142)),
% 4.84/3.71 inference(unit_resolution,[status(thm)],[11683, 184, 11680])).
% 4.84/3.71 tff(11685,plain,
% 4.84/3.71 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s142, c_n2) | (~node8(s142)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s142, c_n2) | (~node8(s142)))),
% 4.84/3.71 inference(rewrite,[status(thm)],[])).
% 4.84/3.71 tff(11686,plain,
% 4.84/3.71 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s142, c_n2) | (~node8(s142)))),
% 4.84/3.71 inference(quant_inst,[status(thm)],[])).
% 4.84/3.71 tff(11687,plain,
% 4.84/3.71 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s142, c_n2) | (~node8(s142))),
% 4.84/3.71 inference(modus_ponens,[status(thm)],[11686, 11685])).
% 4.84/3.71 tff(11688,plain,
% 4.84/3.71 (~node8(s142)),
% 4.84/3.71 inference(unit_resolution,[status(thm)],[11687, 271, 11617])).
% 4.84/3.71 tff(11689,plain,
% 4.84/3.71 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s142, c_n2) | (~node9(s142)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s142, c_n2) | (~node9(s142)))),
% 4.84/3.71 inference(rewrite,[status(thm)],[])).
% 4.84/3.71 tff(11690,plain,
% 4.84/3.71 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s142, c_n2) | (~node9(s142)))),
% 4.84/3.71 inference(quant_inst,[status(thm)],[])).
% 4.84/3.71 tff(11691,plain,
% 4.84/3.71 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s142, c_n2) | (~node9(s142))),
% 4.84/3.71 inference(modus_ponens,[status(thm)],[11690, 11689])).
% 4.84/3.71 tff(11692,plain,
% 4.84/3.71 (~node9(s142)),
% 4.84/3.71 inference(unit_resolution,[status(thm)],[11691, 88, 11617])).
% 4.84/3.71 tff(11693,plain,
% 4.84/3.71 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s142, c_n2) | (~node10(s142)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s142, c_n2) | (~node10(s142)))),
% 4.84/3.71 inference(rewrite,[status(thm)],[])).
% 4.84/3.71 tff(11694,plain,
% 4.84/3.71 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s142, c_n2) | (~node10(s142)))),
% 4.84/3.71 inference(quant_inst,[status(thm)],[])).
% 4.84/3.71 tff(11695,plain,
% 4.84/3.71 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s142, c_n2) | (~node10(s142))),
% 4.84/3.71 inference(modus_ponens,[status(thm)],[11694, 11693])).
% 4.84/3.71 tff(11696,plain,
% 4.84/3.71 (~node10(s142)),
% 4.84/3.71 inference(unit_resolution,[status(thm)],[11695, 249, 11617])).
% 4.84/3.71 tff(11697,plain,
% 4.84/3.71 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s142, c_n1) | (~node11(s142)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s142, c_n1) | (~node11(s142)))),
% 4.84/3.71 inference(rewrite,[status(thm)],[])).
% 4.84/3.71 tff(11698,plain,
% 4.84/3.71 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s142, c_n1) | (~node11(s142)))),
% 4.84/3.71 inference(quant_inst,[status(thm)],[])).
% 4.84/3.71 tff(11699,plain,
% 4.84/3.71 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s142, c_n1) | (~node11(s142))),
% 4.84/3.71 inference(modus_ponens,[status(thm)],[11698, 11697])).
% 4.84/3.71 tff(11700,plain,
% 4.84/3.71 (~node11(s142)),
% 4.84/3.71 inference(unit_resolution,[status(thm)],[11699, 238, 11637])).
% 4.84/3.71 tff(11701,plain,
% 4.84/3.71 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s142, s143)) | node14(s142, s143))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s142, s143)) | node14(s142, s143))),
% 4.84/3.71 inference(rewrite,[status(thm)],[])).
% 4.84/3.71 tff(11702,plain,
% 4.84/3.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s142, s143)) | node14(s142, s143))),
% 4.84/3.71 inference(quant_inst,[status(thm)],[])).
% 4.84/3.71 tff(11703,plain,
% 4.84/3.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s142, s143)) | node14(s142, s143)),
% 4.84/3.71 inference(modus_ponens,[status(thm)],[11702, 11701])).
% 4.84/3.71 tff(11704,plain,
% 4.84/3.71 (node14(s142, s143)),
% 4.84/3.71 inference(unit_resolution,[status(thm)],[11703, 46, 11648])).
% 4.84/3.71 tff(11705,plain,
% 4.84/3.71 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s142, c_c2) | node9(s142) | node8(s142) | node10(s142) | node11(s142) | node12(s142) | node13(s142, s143) | (~node14(s142, s143)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s142, c_c2) | node9(s142) | node8(s142) | node10(s142) | node11(s142) | node12(s142) | node13(s142, s143) | (~node14(s142, s143)))),
% 4.84/3.71 inference(rewrite,[status(thm)],[])).
% 4.84/3.71 tff(11706,plain,
% 4.84/3.71 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s142, c_c2) | node9(s142) | node8(s142) | node10(s142) | node11(s142) | node12(s142) | node13(s142, s143) | (~node14(s142, s143)))),
% 4.84/3.71 inference(quant_inst,[status(thm)],[])).
% 4.84/3.71 tff(11707,plain,
% 4.84/3.71 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s142, c_c2) | node9(s142) | node8(s142) | node10(s142) | node11(s142) | node12(s142) | node13(s142, s143) | (~node14(s142, s143))),
% 4.84/3.71 inference(modus_ponens,[status(thm)],[11706, 11705])).
% 4.84/3.71 tff(11708,plain,
% 4.84/3.71 (m_main_v_state2(s142, c_c2) | node9(s142) | node8(s142) | node10(s142) | node11(s142) | node12(s142) | node13(s142, s143)),
% 4.84/3.71 inference(unit_resolution,[status(thm)],[11707, 296, 11704])).
% 4.84/3.71 tff(11709,plain,
% 4.84/3.71 (node13(s142, s143)),
% 4.84/3.71 inference(unit_resolution,[status(thm)],[11708, 11700, 11625, 11696, 11692, 11688, 11684])).
% 4.84/3.71 tff(11710,plain,
% 4.84/3.71 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s142, c_t2)) | m_main_v_state2(s143, c_t2) | (~node13(s142, s143)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s142, c_t2)) | m_main_v_state2(s143, c_t2) | (~node13(s142, s143)))),
% 4.84/3.71 inference(rewrite,[status(thm)],[])).
% 4.84/3.71 tff(11711,plain,
% 4.84/3.71 (((~node13(s142, s143)) | (~m_main_v_state2(s142, c_t2)) | m_main_v_state2(s143, c_t2)) <=> ((~m_main_v_state2(s142, c_t2)) | m_main_v_state2(s143, c_t2) | (~node13(s142, s143)))),
% 4.84/3.71 inference(rewrite,[status(thm)],[])).
% 4.84/3.71 tff(11712,plain,
% 4.84/3.71 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s142, s143)) | (~m_main_v_state2(s142, c_t2)) | m_main_v_state2(s143, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s142, c_t2)) | m_main_v_state2(s143, c_t2) | (~node13(s142, s143))))),
% 4.84/3.71 inference(monotonicity,[status(thm)],[11711])).
% 4.84/3.71 tff(11713,plain,
% 4.84/3.71 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s142, s143)) | (~m_main_v_state2(s142, c_t2)) | m_main_v_state2(s143, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s142, c_t2)) | m_main_v_state2(s143, c_t2) | (~node13(s142, s143)))),
% 4.84/3.71 inference(transitivity,[status(thm)],[11712, 11710])).
% 4.84/3.71 tff(11714,plain,
% 4.84/3.71 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s142, s143)) | (~m_main_v_state2(s142, c_t2)) | m_main_v_state2(s143, c_t2))),
% 4.84/3.71 inference(quant_inst,[status(thm)],[])).
% 4.84/3.71 tff(11715,plain,
% 4.84/3.71 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s142, c_t2)) | m_main_v_state2(s143, c_t2) | (~node13(s142, s143))),
% 4.84/3.71 inference(modus_ponens,[status(thm)],[11714, 11713])).
% 4.84/3.71 tff(11716,plain,
% 4.84/3.71 (m_main_v_state2(s143, c_t2)),
% 4.84/3.71 inference(unit_resolution,[status(thm)],[11715, 518, 11613, 11709])).
% 4.84/3.71 tff(11717,plain,
% 4.84/3.71 (succ(s143, s144) <=> succ(s143, s144)),
% 4.84/3.71 inference(rewrite,[status(thm)],[])).
% 4.84/3.71 tff(11718,axiom,(succ(s143, s144)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound144')).
% 4.84/3.71 tff(11719,plain,
% 4.84/3.71 (succ(s143, s144)),
% 4.84/3.71 inference(modus_ponens,[status(thm)],[11718, 11717])).
% 4.84/3.71 tff(11720,plain,
% 4.84/3.71 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s143, s144)) | trans(s143, s144))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s143, s144)) | trans(s143, s144))),
% 4.84/3.71 inference(rewrite,[status(thm)],[])).
% 4.84/3.71 tff(11721,plain,
% 4.84/3.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s143, s144)) | trans(s143, s144))),
% 4.84/3.71 inference(quant_inst,[status(thm)],[])).
% 4.84/3.71 tff(11722,plain,
% 4.84/3.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s143, s144)) | trans(s143, s144)),
% 4.84/3.71 inference(modus_ponens,[status(thm)],[11721, 11720])).
% 4.84/3.71 tff(11723,plain,
% 4.84/3.71 (trans(s143, s144)),
% 4.84/3.71 inference(unit_resolution,[status(thm)],[11722, 11719, 32])).
% 4.84/3.71 tff(11724,plain,
% 4.84/3.71 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s143, s144)) | node7(s143, s144))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s143, s144)) | node7(s143, s144))),
% 4.84/3.71 inference(rewrite,[status(thm)],[])).
% 4.84/3.71 tff(11725,plain,
% 4.84/3.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s143, s144)) | node7(s143, s144))),
% 4.84/3.71 inference(quant_inst,[status(thm)],[])).
% 4.84/3.71 tff(11726,plain,
% 4.84/3.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s143, s144)) | node7(s143, s144)),
% 4.84/3.71 inference(modus_ponens,[status(thm)],[11725, 11724])).
% 4.84/3.71 tff(11727,plain,
% 4.84/3.71 (node7(s143, s144)),
% 4.84/3.71 inference(unit_resolution,[status(thm)],[11726, 206, 11723])).
% 4.84/3.71 tff(11728,plain,
% 4.84/3.71 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s143, c_n1)) | (~m_main_v_state2(s143, c_t2)) | (~node7(s143, s144)) | m_main_v_state1(s144, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s143, c_n1)) | (~m_main_v_state2(s143, c_t2)) | (~node7(s143, s144)) | m_main_v_state1(s144, c_t1))),
% 4.84/3.71 inference(rewrite,[status(thm)],[])).
% 4.84/3.71 tff(11729,plain,
% 4.84/3.71 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s143, c_n1)) | (~m_main_v_state2(s143, c_t2)) | (~node7(s143, s144)) | m_main_v_state1(s144, c_t1))),
% 4.84/3.71 inference(quant_inst,[status(thm)],[])).
% 4.84/3.71 tff(11730,plain,
% 4.84/3.71 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s143, c_n1)) | (~m_main_v_state2(s143, c_t2)) | (~node7(s143, s144)) | m_main_v_state1(s144, c_t1)),
% 4.84/3.71 inference(modus_ponens,[status(thm)],[11729, 11728])).
% 4.84/3.71 tff(11731,plain,
% 4.84/3.71 ((~m_main_v_state1(s143, c_n1)) | (~m_main_v_state2(s143, c_t2)) | m_main_v_state1(s144, c_t1)),
% 4.84/3.71 inference(unit_resolution,[status(thm)],[11730, 651, 11727])).
% 4.84/3.71 tff(11732,plain,
% 4.84/3.71 (m_main_v_state1(s144, c_t1)),
% 4.84/3.71 inference(unit_resolution,[status(thm)],[11731, 11716, 11660])).
% 4.84/3.71 tff(11733,plain,
% 4.84/3.71 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s144, c_n1)) | (~m_main_v_state1(s144, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s144, c_n1)) | (~m_main_v_state1(s144, c_t1)))),
% 4.84/3.71 inference(rewrite,[status(thm)],[])).
% 4.84/3.71 tff(11734,plain,
% 4.84/3.71 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s144, c_n1)) | (~m_main_v_state1(s144, c_t1)))),
% 4.84/3.71 inference(quant_inst,[status(thm)],[])).
% 4.84/3.71 tff(11735,plain,
% 4.84/3.71 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s144, c_n1)) | (~m_main_v_state1(s144, c_t1))),
% 4.84/3.71 inference(modus_ponens,[status(thm)],[11734, 11733])).
% 4.84/3.71 tff(11736,plain,
% 4.84/3.71 (~m_main_v_state1(s144, c_n1)),
% 4.84/3.71 inference(unit_resolution,[status(thm)],[11735, 10, 11732])).
% 4.84/3.71 tff(11737,plain,
% 4.84/3.71 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s144, c_n1) | (~node1(s144)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s144, c_n1) | (~node1(s144)))),
% 4.84/3.71 inference(rewrite,[status(thm)],[])).
% 4.84/3.71 tff(11738,plain,
% 4.84/3.71 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s144, c_n1) | (~node1(s144)))),
% 4.84/3.71 inference(quant_inst,[status(thm)],[])).
% 4.84/3.71 tff(11739,plain,
% 4.84/3.71 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s144, c_n1) | (~node1(s144))),
% 4.84/3.71 inference(modus_ponens,[status(thm)],[11738, 11737])).
% 4.84/3.71 tff(11740,plain,
% 4.84/3.71 (~node1(s144)),
% 4.84/3.71 inference(unit_resolution,[status(thm)],[11739, 421, 11736])).
% 4.84/3.71 tff(11741,plain,
% 4.84/3.71 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s143, s144)) | node18(s143, s144))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s143, s144)) | node18(s143, s144))),
% 4.84/3.71 inference(rewrite,[status(thm)],[])).
% 4.84/3.71 tff(11742,plain,
% 4.84/3.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s143, s144)) | node18(s143, s144))),
% 4.84/3.71 inference(quant_inst,[status(thm)],[])).
% 4.84/3.71 tff(11743,plain,
% 4.84/3.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s143, s144)) | node18(s143, s144)),
% 4.84/3.71 inference(modus_ponens,[status(thm)],[11742, 11741])).
% 4.84/3.71 tff(11744,plain,
% 4.84/3.71 (node18(s143, s144)),
% 4.84/3.71 inference(unit_resolution,[status(thm)],[11743, 125, 11723])).
% 4.84/3.71 tff(11745,plain,
% 4.84/3.71 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s143, c_n1)) | (~m_main_v_state2(s143, c_t2)) | (~node18(s143, s144)) | m_main_v_turn(s144, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s143, c_n1)) | (~m_main_v_state2(s143, c_t2)) | (~node18(s143, s144)) | m_main_v_turn(s144, c_2))),
% 4.84/3.71 inference(rewrite,[status(thm)],[])).
% 4.84/3.71 tff(11746,plain,
% 4.84/3.71 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s143, c_n1)) | (~m_main_v_state2(s143, c_t2)) | (~node18(s143, s144)) | m_main_v_turn(s144, c_2))),
% 4.84/3.71 inference(quant_inst,[status(thm)],[])).
% 4.84/3.71 tff(11747,plain,
% 4.84/3.71 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s143, c_n1)) | (~m_main_v_state2(s143, c_t2)) | (~node18(s143, s144)) | m_main_v_turn(s144, c_2)),
% 4.84/3.71 inference(modus_ponens,[status(thm)],[11746, 11745])).
% 4.84/3.71 tff(11748,plain,
% 4.84/3.71 ((~m_main_v_state1(s143, c_n1)) | (~m_main_v_state2(s143, c_t2)) | m_main_v_turn(s144, c_2)),
% 4.84/3.71 inference(unit_resolution,[status(thm)],[11747, 760, 11744])).
% 4.84/3.71 tff(11749,plain,
% 4.84/3.71 (m_main_v_turn(s144, c_2)),
% 4.84/3.71 inference(unit_resolution,[status(thm)],[11748, 11716, 11660])).
% 4.84/3.71 tff(11750,plain,
% 4.84/3.71 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s144, c_1)) | (~m_main_v_turn(s144, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s144, c_1)) | (~m_main_v_turn(s144, c_2)))),
% 4.84/3.71 inference(rewrite,[status(thm)],[])).
% 4.84/3.71 tff(11751,plain,
% 4.84/3.71 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s144, c_1)) | (~m_main_v_turn(s144, c_2)))),
% 4.84/3.71 inference(quant_inst,[status(thm)],[])).
% 4.84/3.71 tff(11752,plain,
% 4.84/3.71 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s144, c_1)) | (~m_main_v_turn(s144, c_2))),
% 4.84/3.71 inference(modus_ponens,[status(thm)],[11751, 11750])).
% 4.84/3.71 tff(11753,plain,
% 4.84/3.71 (~m_main_v_turn(s144, c_1)),
% 4.84/3.71 inference(unit_resolution,[status(thm)],[11752, 156, 11749])).
% 4.84/3.71 tff(11754,plain,
% 4.84/3.71 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s144, c_1) | (~node5(s144)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s144, c_1) | (~node5(s144)))),
% 4.84/3.71 inference(rewrite,[status(thm)],[])).
% 4.84/3.71 tff(11755,plain,
% 4.84/3.71 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s144, c_1) | (~node5(s144)))),
% 4.84/3.71 inference(quant_inst,[status(thm)],[])).
% 4.84/3.71 tff(11756,plain,
% 4.84/3.71 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s144, c_1) | (~node5(s144))),
% 4.84/3.71 inference(modus_ponens,[status(thm)],[11755, 11754])).
% 4.84/3.71 tff(11757,plain,
% 4.84/3.71 (~node5(s144)),
% 4.84/3.71 inference(unit_resolution,[status(thm)],[11756, 776, 11753])).
% 4.84/3.71 tff(11758,plain,
% 4.84/3.71 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s144, c_n1) | (~node2(s144)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s144, c_n1) | (~node2(s144)))),
% 4.84/3.71 inference(rewrite,[status(thm)],[])).
% 4.84/3.71 tff(11759,plain,
% 4.84/3.71 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s144, c_n1) | (~node2(s144)))),
% 4.84/3.71 inference(quant_inst,[status(thm)],[])).
% 4.84/3.71 tff(11760,plain,
% 4.84/3.71 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s144, c_n1) | (~node2(s144))),
% 4.84/3.71 inference(modus_ponens,[status(thm)],[11759, 11758])).
% 4.84/3.71 tff(11761,plain,
% 4.84/3.71 (~node2(s144)),
% 4.84/3.71 inference(unit_resolution,[status(thm)],[11760, 787, 11736])).
% 4.84/3.71 tff(11762,plain,
% 4.84/3.71 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s144, c_n1) | (~node3(s144)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s144, c_n1) | (~node3(s144)))),
% 4.84/3.71 inference(rewrite,[status(thm)],[])).
% 4.84/3.71 tff(11763,plain,
% 4.84/3.71 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s144, c_n1) | (~node3(s144)))),
% 4.84/3.71 inference(quant_inst,[status(thm)],[])).
% 4.84/3.71 tff(11764,plain,
% 4.84/3.71 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s144, c_n1) | (~node3(s144))),
% 4.84/3.71 inference(modus_ponens,[status(thm)],[11763, 11762])).
% 4.84/3.71 tff(11765,plain,
% 4.84/3.71 (~node3(s144)),
% 4.84/3.71 inference(unit_resolution,[status(thm)],[11764, 798, 11736])).
% 4.84/3.71 tff(11766,plain,
% 4.84/3.71 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s144, c_t1)) | (~m_main_v_state1(s144, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s144, c_t1)) | (~m_main_v_state1(s144, c_c1)))),
% 4.84/3.71 inference(rewrite,[status(thm)],[])).
% 4.84/3.71 tff(11767,plain,
% 4.84/3.71 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s144, c_t1)) | (~m_main_v_state1(s144, c_c1)))),
% 4.84/3.71 inference(quant_inst,[status(thm)],[])).
% 4.84/3.71 tff(11768,plain,
% 4.84/3.71 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s144, c_t1)) | (~m_main_v_state1(s144, c_c1))),
% 4.84/3.71 inference(modus_ponens,[status(thm)],[11767, 11766])).
% 4.84/3.71 tff(11769,plain,
% 4.84/3.71 (~m_main_v_state1(s144, c_c1)),
% 4.84/3.71 inference(unit_resolution,[status(thm)],[11768, 539, 11732])).
% 4.84/3.71 tff(11770,plain,
% 4.84/3.71 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s142, c_n2) | (~m_main_v_state2(s143, c_n2)) | (~node13(s142, s143)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s142, c_n2) | (~m_main_v_state2(s143, c_n2)) | (~node13(s142, s143)))),
% 4.84/3.71 inference(rewrite,[status(thm)],[])).
% 4.84/3.71 tff(11771,plain,
% 4.84/3.71 (((~node13(s142, s143)) | m_main_v_state2(s142, c_n2) | (~m_main_v_state2(s143, c_n2))) <=> (m_main_v_state2(s142, c_n2) | (~m_main_v_state2(s143, c_n2)) | (~node13(s142, s143)))),
% 4.84/3.71 inference(rewrite,[status(thm)],[])).
% 4.84/3.71 tff(11772,plain,
% 4.84/3.71 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s142, s143)) | m_main_v_state2(s142, c_n2) | (~m_main_v_state2(s143, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s142, c_n2) | (~m_main_v_state2(s143, c_n2)) | (~node13(s142, s143))))),
% 4.84/3.71 inference(monotonicity,[status(thm)],[11771])).
% 4.84/3.71 tff(11773,plain,
% 4.84/3.71 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s142, s143)) | m_main_v_state2(s142, c_n2) | (~m_main_v_state2(s143, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s142, c_n2) | (~m_main_v_state2(s143, c_n2)) | (~node13(s142, s143)))),
% 4.84/3.71 inference(transitivity,[status(thm)],[11772, 11770])).
% 4.84/3.71 tff(11774,plain,
% 4.84/3.71 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s142, s143)) | m_main_v_state2(s142, c_n2) | (~m_main_v_state2(s143, c_n2)))),
% 4.84/3.71 inference(quant_inst,[status(thm)],[])).
% 4.84/3.71 tff(11775,plain,
% 4.84/3.71 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s142, c_n2) | (~m_main_v_state2(s143, c_n2)) | (~node13(s142, s143))),
% 4.84/3.71 inference(modus_ponens,[status(thm)],[11774, 11773])).
% 4.84/3.71 tff(11776,plain,
% 4.84/3.71 (~m_main_v_state2(s143, c_n2)),
% 4.84/3.71 inference(unit_resolution,[status(thm)],[11775, 311, 11617, 11709])).
% 4.84/3.71 tff(11777,plain,
% 4.84/3.71 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s143, c_n2) | (~node9(s143)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s143, c_n2) | (~node9(s143)))),
% 4.84/3.71 inference(rewrite,[status(thm)],[])).
% 4.84/3.71 tff(11778,plain,
% 4.84/3.71 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s143, c_n2) | (~node9(s143)))),
% 4.84/3.71 inference(quant_inst,[status(thm)],[])).
% 4.84/3.71 tff(11779,plain,
% 4.84/3.71 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s143, c_n2) | (~node9(s143))),
% 4.84/3.71 inference(modus_ponens,[status(thm)],[11778, 11777])).
% 4.84/3.71 tff(11780,plain,
% 4.84/3.71 (~node9(s143)),
% 4.84/3.71 inference(unit_resolution,[status(thm)],[11779, 88, 11776])).
% 4.84/3.71 tff(11781,plain,
% 4.84/3.71 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s143, c_n2) | (~node10(s143)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s143, c_n2) | (~node10(s143)))),
% 4.84/3.71 inference(rewrite,[status(thm)],[])).
% 4.84/3.71 tff(11782,plain,
% 4.84/3.71 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s143, c_n2) | (~node10(s143)))),
% 4.84/3.71 inference(quant_inst,[status(thm)],[])).
% 4.84/3.71 tff(11783,plain,
% 4.84/3.71 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s143, c_n2) | (~node10(s143))),
% 4.84/3.71 inference(modus_ponens,[status(thm)],[11782, 11781])).
% 4.84/3.71 tff(11784,plain,
% 4.84/3.71 (~node10(s143)),
% 4.84/3.71 inference(unit_resolution,[status(thm)],[11783, 249, 11776])).
% 4.84/3.71 tff(11785,plain,
% 4.84/3.71 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s143, c_n2) | (~node8(s143)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s143, c_n2) | (~node8(s143)))),
% 4.84/3.71 inference(rewrite,[status(thm)],[])).
% 4.84/3.71 tff(11786,plain,
% 4.84/3.71 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s143, c_n2) | (~node8(s143)))),
% 4.84/3.71 inference(quant_inst,[status(thm)],[])).
% 4.84/3.71 tff(11787,plain,
% 4.84/3.71 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s143, c_n2) | (~node8(s143))),
% 4.84/3.71 inference(modus_ponens,[status(thm)],[11786, 11785])).
% 4.84/3.71 tff(11788,plain,
% 4.84/3.71 (~node8(s143)),
% 4.84/3.71 inference(unit_resolution,[status(thm)],[11787, 271, 11776])).
% 4.84/3.71 tff(11789,plain,
% 4.84/3.71 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s143, s144)) | node14(s143, s144))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s143, s144)) | node14(s143, s144))),
% 4.84/3.72 inference(rewrite,[status(thm)],[])).
% 4.84/3.72 tff(11790,plain,
% 4.84/3.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s143, s144)) | node14(s143, s144))),
% 4.84/3.72 inference(quant_inst,[status(thm)],[])).
% 4.84/3.72 tff(11791,plain,
% 4.84/3.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s143, s144)) | node14(s143, s144)),
% 4.84/3.72 inference(modus_ponens,[status(thm)],[11790, 11789])).
% 4.84/3.72 tff(11792,plain,
% 4.84/3.72 (node14(s143, s144)),
% 4.84/3.72 inference(unit_resolution,[status(thm)],[11791, 46, 11723])).
% 4.84/3.72 tff(11793,plain,
% 4.84/3.72 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s143, c_n1)) | (~m_main_v_state2(s143, c_t2)) | node9(s143) | node8(s143) | node10(s143) | (~node14(s143, s144)) | m_main_v_state2(s144, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s143, c_n1)) | (~m_main_v_state2(s143, c_t2)) | node9(s143) | node8(s143) | node10(s143) | (~node14(s143, s144)) | m_main_v_state2(s144, c_c2))),
% 4.84/3.72 inference(rewrite,[status(thm)],[])).
% 4.84/3.72 tff(11794,plain,
% 4.84/3.72 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s143, c_n1)) | (~m_main_v_state2(s143, c_t2)) | node9(s143) | node8(s143) | node10(s143) | (~node14(s143, s144)) | m_main_v_state2(s144, c_c2))),
% 4.84/3.72 inference(quant_inst,[status(thm)],[])).
% 4.84/3.72 tff(11795,plain,
% 4.84/3.72 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s143, c_n1)) | (~m_main_v_state2(s143, c_t2)) | node9(s143) | node8(s143) | node10(s143) | (~node14(s143, s144)) | m_main_v_state2(s144, c_c2)),
% 4.84/3.72 inference(modus_ponens,[status(thm)],[11794, 11793])).
% 4.84/3.72 tff(11796,plain,
% 4.84/3.72 ((~m_main_v_state1(s143, c_n1)) | (~m_main_v_state2(s143, c_t2)) | node9(s143) | node8(s143) | node10(s143) | m_main_v_state2(s144, c_c2)),
% 4.84/3.72 inference(unit_resolution,[status(thm)],[11795, 617, 11792])).
% 4.84/3.72 tff(11797,plain,
% 4.84/3.72 (m_main_v_state2(s144, c_c2)),
% 4.84/3.72 inference(unit_resolution,[status(thm)],[11796, 11788, 11660, 11716, 11784, 11780])).
% 4.84/3.72 tff(11798,plain,
% 4.84/3.72 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s144, c_n2)) | (~m_main_v_state2(s144, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s144, c_n2)) | (~m_main_v_state2(s144, c_c2)))),
% 4.84/3.72 inference(rewrite,[status(thm)],[])).
% 4.84/3.72 tff(11799,plain,
% 4.84/3.72 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s144, c_n2)) | (~m_main_v_state2(s144, c_c2)))),
% 4.84/3.72 inference(quant_inst,[status(thm)],[])).
% 4.84/3.72 tff(11800,plain,
% 4.84/3.72 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s144, c_n2)) | (~m_main_v_state2(s144, c_c2))),
% 4.84/3.72 inference(modus_ponens,[status(thm)],[11799, 11798])).
% 4.84/3.72 tff(11801,plain,
% 4.84/3.72 (~m_main_v_state2(s144, c_n2)),
% 4.84/3.72 inference(unit_resolution,[status(thm)],[11800, 697, 11797])).
% 4.84/3.72 tff(11802,plain,
% 4.84/3.72 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s144, c_n2) | (~node4(s144)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s144, c_n2) | (~node4(s144)))),
% 4.84/3.72 inference(rewrite,[status(thm)],[])).
% 4.84/3.72 tff(11803,plain,
% 4.84/3.72 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s144, c_n2) | (~node4(s144)))),
% 4.84/3.72 inference(quant_inst,[status(thm)],[])).
% 4.84/3.72 tff(11804,plain,
% 4.84/3.72 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s144, c_n2) | (~node4(s144))),
% 4.84/3.72 inference(modus_ponens,[status(thm)],[11803, 11802])).
% 4.84/3.72 tff(11805,plain,
% 4.84/3.72 (~node4(s144)),
% 4.84/3.72 inference(unit_resolution,[status(thm)],[11804, 388, 11801])).
% 4.84/3.72 tff(11806,plain,
% 4.84/3.72 (succ(s144, s145) <=> succ(s144, s145)),
% 4.84/3.72 inference(rewrite,[status(thm)],[])).
% 4.84/3.72 tff(11807,axiom,(succ(s144, s145)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound145')).
% 4.84/3.72 tff(11808,plain,
% 4.84/3.72 (succ(s144, s145)),
% 4.84/3.72 inference(modus_ponens,[status(thm)],[11807, 11806])).
% 4.84/3.72 tff(11809,plain,
% 4.84/3.72 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s144, s145)) | trans(s144, s145))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s144, s145)) | trans(s144, s145))),
% 4.84/3.72 inference(rewrite,[status(thm)],[])).
% 4.84/3.72 tff(11810,plain,
% 4.84/3.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s144, s145)) | trans(s144, s145))),
% 4.84/3.72 inference(quant_inst,[status(thm)],[])).
% 4.84/3.72 tff(11811,plain,
% 4.84/3.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s144, s145)) | trans(s144, s145)),
% 4.84/3.72 inference(modus_ponens,[status(thm)],[11810, 11809])).
% 4.84/3.72 tff(11812,plain,
% 4.84/3.72 (trans(s144, s145)),
% 4.84/3.72 inference(unit_resolution,[status(thm)],[11811, 11808, 32])).
% 4.84/3.72 tff(11813,plain,
% 4.84/3.72 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s144, s145)) | node7(s144, s145))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s144, s145)) | node7(s144, s145))),
% 4.84/3.72 inference(rewrite,[status(thm)],[])).
% 4.84/3.72 tff(11814,plain,
% 4.84/3.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s144, s145)) | node7(s144, s145))),
% 4.84/3.72 inference(quant_inst,[status(thm)],[])).
% 4.84/3.72 tff(11815,plain,
% 4.84/3.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s144, s145)) | node7(s144, s145)),
% 4.84/3.72 inference(modus_ponens,[status(thm)],[11814, 11813])).
% 4.84/3.72 tff(11816,plain,
% 4.84/3.72 (node7(s144, s145)),
% 4.84/3.72 inference(unit_resolution,[status(thm)],[11815, 206, 11812])).
% 4.84/3.72 tff(11817,plain,
% 4.84/3.72 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s144, c_c1) | node1(s144) | node2(s144) | node3(s144) | node4(s144) | node5(s144) | node6(s144, s145) | (~node7(s144, s145)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s144, c_c1) | node1(s144) | node2(s144) | node3(s144) | node4(s144) | node5(s144) | node6(s144, s145) | (~node7(s144, s145)))),
% 4.84/3.72 inference(rewrite,[status(thm)],[])).
% 4.84/3.72 tff(11818,plain,
% 4.84/3.72 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s144, c_c1) | node1(s144) | node2(s144) | node3(s144) | node4(s144) | node5(s144) | node6(s144, s145) | (~node7(s144, s145)))),
% 4.84/3.72 inference(quant_inst,[status(thm)],[])).
% 4.84/3.72 tff(11819,plain,
% 4.84/3.72 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s144, c_c1) | node1(s144) | node2(s144) | node3(s144) | node4(s144) | node5(s144) | node6(s144, s145) | (~node7(s144, s145))),
% 4.84/3.72 inference(modus_ponens,[status(thm)],[11818, 11817])).
% 4.84/3.72 tff(11820,plain,
% 4.84/3.72 (m_main_v_state1(s144, c_c1) | node1(s144) | node2(s144) | node3(s144) | node4(s144) | node5(s144) | node6(s144, s145)),
% 4.84/3.72 inference(unit_resolution,[status(thm)],[11819, 820, 11816])).
% 4.84/3.72 tff(11821,plain,
% 4.84/3.72 (node6(s144, s145)),
% 4.84/3.72 inference(unit_resolution,[status(thm)],[11820, 11805, 11769, 11765, 11761, 11757, 11740])).
% 4.84/3.72 tff(11822,plain,
% 4.84/3.72 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s144, c_t1)) | m_main_v_state1(s145, c_t1) | (~node6(s144, s145)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s144, c_t1)) | m_main_v_state1(s145, c_t1) | (~node6(s144, s145)))),
% 4.84/3.72 inference(rewrite,[status(thm)],[])).
% 4.84/3.72 tff(11823,plain,
% 4.84/3.72 (((~node6(s144, s145)) | (~m_main_v_state1(s144, c_t1)) | m_main_v_state1(s145, c_t1)) <=> ((~m_main_v_state1(s144, c_t1)) | m_main_v_state1(s145, c_t1) | (~node6(s144, s145)))),
% 4.84/3.72 inference(rewrite,[status(thm)],[])).
% 4.84/3.72 tff(11824,plain,
% 4.84/3.72 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s144, s145)) | (~m_main_v_state1(s144, c_t1)) | m_main_v_state1(s145, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s144, c_t1)) | m_main_v_state1(s145, c_t1) | (~node6(s144, s145))))),
% 4.84/3.72 inference(monotonicity,[status(thm)],[11823])).
% 4.84/3.72 tff(11825,plain,
% 4.84/3.72 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s144, s145)) | (~m_main_v_state1(s144, c_t1)) | m_main_v_state1(s145, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s144, c_t1)) | m_main_v_state1(s145, c_t1) | (~node6(s144, s145)))),
% 4.84/3.72 inference(transitivity,[status(thm)],[11824, 11822])).
% 4.84/3.72 tff(11826,plain,
% 4.84/3.72 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s144, s145)) | (~m_main_v_state1(s144, c_t1)) | m_main_v_state1(s145, c_t1))),
% 4.84/3.72 inference(quant_inst,[status(thm)],[])).
% 4.84/3.72 tff(11827,plain,
% 4.84/3.72 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s144, c_t1)) | m_main_v_state1(s145, c_t1) | (~node6(s144, s145))),
% 4.84/3.72 inference(modus_ponens,[status(thm)],[11826, 11825])).
% 4.84/3.72 tff(11828,plain,
% 4.84/3.72 (m_main_v_state1(s145, c_t1)),
% 4.84/3.72 inference(unit_resolution,[status(thm)],[11827, 856, 11732, 11821])).
% 4.84/3.72 tff(11829,plain,
% 4.84/3.72 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s144, c_t2)) | (~m_main_v_state2(s144, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s144, c_t2)) | (~m_main_v_state2(s144, c_c2)))),
% 4.84/3.72 inference(rewrite,[status(thm)],[])).
% 4.84/3.72 tff(11830,plain,
% 4.84/3.72 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s144, c_t2)) | (~m_main_v_state2(s144, c_c2)))),
% 4.84/3.72 inference(quant_inst,[status(thm)],[])).
% 4.84/3.72 tff(11831,plain,
% 4.84/3.72 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s144, c_t2)) | (~m_main_v_state2(s144, c_c2))),
% 4.84/3.72 inference(modus_ponens,[status(thm)],[11830, 11829])).
% 4.84/3.72 tff(11832,plain,
% 4.84/3.72 (~m_main_v_state2(s144, c_t2)),
% 4.84/3.72 inference(unit_resolution,[status(thm)],[11831, 260, 11797])).
% 4.84/3.72 tff(11833,plain,
% 4.84/3.72 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s144, c_t2) | (~node12(s144)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s144, c_t2) | (~node12(s144)))),
% 4.84/3.72 inference(rewrite,[status(thm)],[])).
% 4.84/3.72 tff(11834,plain,
% 4.84/3.72 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s144, c_t2) | (~node12(s144)))),
% 4.84/3.72 inference(quant_inst,[status(thm)],[])).
% 4.84/3.72 tff(11835,plain,
% 4.84/3.72 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s144, c_t2) | (~node12(s144))),
% 4.84/3.72 inference(modus_ponens,[status(thm)],[11834, 11833])).
% 4.84/3.72 tff(11836,plain,
% 4.84/3.72 (~node12(s144)),
% 4.84/3.72 inference(unit_resolution,[status(thm)],[11835, 633, 11832])).
% 4.84/3.72 tff(11837,plain,
% 4.84/3.72 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s144, c_n1) | (~node11(s144)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s144, c_n1) | (~node11(s144)))),
% 4.84/3.72 inference(rewrite,[status(thm)],[])).
% 4.84/3.72 tff(11838,plain,
% 4.84/3.72 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s144, c_n1) | (~node11(s144)))),
% 4.84/3.72 inference(quant_inst,[status(thm)],[])).
% 4.84/3.72 tff(11839,plain,
% 4.84/3.72 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s144, c_n1) | (~node11(s144))),
% 4.84/3.72 inference(modus_ponens,[status(thm)],[11838, 11837])).
% 4.84/3.72 tff(11840,plain,
% 4.84/3.72 (~node11(s144)),
% 4.84/3.72 inference(unit_resolution,[status(thm)],[11839, 238, 11736])).
% 4.84/3.72 tff(11841,plain,
% 4.84/3.72 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s144, c_c1) | (~node10(s144)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s144, c_c1) | (~node10(s144)))),
% 4.84/3.72 inference(rewrite,[status(thm)],[])).
% 4.84/3.72 tff(11842,plain,
% 4.84/3.72 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s144, c_c1) | (~node10(s144)))),
% 4.84/3.72 inference(quant_inst,[status(thm)],[])).
% 4.84/3.72 tff(11843,plain,
% 4.84/3.72 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s144, c_c1) | (~node10(s144))),
% 4.84/3.72 inference(modus_ponens,[status(thm)],[11842, 11841])).
% 4.84/3.72 tff(11844,plain,
% 4.84/3.72 (~node10(s144)),
% 4.84/3.72 inference(unit_resolution,[status(thm)],[11843, 675, 11769])).
% 4.84/3.72 tff(11845,plain,
% 4.84/3.72 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s144, c_n1) | (~node9(s144)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s144, c_n1) | (~node9(s144)))),
% 4.84/3.72 inference(rewrite,[status(thm)],[])).
% 4.84/3.72 tff(11846,plain,
% 4.84/3.72 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s144, c_n1) | (~node9(s144)))),
% 4.84/3.72 inference(quant_inst,[status(thm)],[])).
% 4.84/3.72 tff(11847,plain,
% 4.84/3.72 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s144, c_n1) | (~node9(s144))),
% 4.84/3.72 inference(modus_ponens,[status(thm)],[11846, 11845])).
% 4.84/3.72 tff(11848,plain,
% 4.84/3.72 (~node9(s144)),
% 4.84/3.72 inference(unit_resolution,[status(thm)],[11847, 686, 11736])).
% 4.84/3.72 tff(11849,plain,
% 4.84/3.72 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s144, c_n2) | (~node8(s144)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s144, c_n2) | (~node8(s144)))),
% 4.84/3.72 inference(rewrite,[status(thm)],[])).
% 4.84/3.72 tff(11850,plain,
% 4.84/3.72 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s144, c_n2) | (~node8(s144)))),
% 4.84/3.72 inference(quant_inst,[status(thm)],[])).
% 4.84/3.72 tff(11851,plain,
% 4.84/3.72 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s144, c_n2) | (~node8(s144))),
% 4.84/3.72 inference(modus_ponens,[status(thm)],[11850, 11849])).
% 4.84/3.72 tff(11852,plain,
% 4.84/3.72 (~node8(s144)),
% 4.84/3.72 inference(unit_resolution,[status(thm)],[11851, 271, 11801])).
% 4.84/3.72 tff(11853,plain,
% 4.84/3.72 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s144, s145)) | node14(s144, s145))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s144, s145)) | node14(s144, s145))),
% 4.84/3.72 inference(rewrite,[status(thm)],[])).
% 4.84/3.72 tff(11854,plain,
% 4.84/3.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s144, s145)) | node14(s144, s145))),
% 4.84/3.72 inference(quant_inst,[status(thm)],[])).
% 4.84/3.72 tff(11855,plain,
% 4.84/3.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s144, s145)) | node14(s144, s145)),
% 4.84/3.72 inference(modus_ponens,[status(thm)],[11854, 11853])).
% 4.84/3.72 tff(11856,plain,
% 4.84/3.72 (node14(s144, s145)),
% 4.84/3.72 inference(unit_resolution,[status(thm)],[11855, 46, 11812])).
% 4.84/3.72 tff(11857,plain,
% 4.84/3.72 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s145, c_n2) | node9(s144) | node8(s144) | node10(s144) | node11(s144) | node12(s144) | (~node14(s144, s145)) | (~m_main_v_state2(s144, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s145, c_n2) | node9(s144) | node8(s144) | node10(s144) | node11(s144) | node12(s144) | (~node14(s144, s145)) | (~m_main_v_state2(s144, c_c2)))),
% 4.84/3.72 inference(rewrite,[status(thm)],[])).
% 4.84/3.72 tff(11858,plain,
% 4.84/3.72 (((~m_main_v_state2(s144, c_c2)) | node9(s144) | node8(s144) | node10(s144) | node11(s144) | node12(s144) | (~node14(s144, s145)) | m_main_v_state2(s145, c_n2)) <=> (m_main_v_state2(s145, c_n2) | node9(s144) | node8(s144) | node10(s144) | node11(s144) | node12(s144) | (~node14(s144, s145)) | (~m_main_v_state2(s144, c_c2)))),
% 4.84/3.72 inference(rewrite,[status(thm)],[])).
% 4.84/3.72 tff(11859,plain,
% 4.84/3.72 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s144, c_c2)) | node9(s144) | node8(s144) | node10(s144) | node11(s144) | node12(s144) | (~node14(s144, s145)) | m_main_v_state2(s145, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s145, c_n2) | node9(s144) | node8(s144) | node10(s144) | node11(s144) | node12(s144) | (~node14(s144, s145)) | (~m_main_v_state2(s144, c_c2))))),
% 4.84/3.72 inference(monotonicity,[status(thm)],[11858])).
% 4.84/3.72 tff(11860,plain,
% 4.84/3.72 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s144, c_c2)) | node9(s144) | node8(s144) | node10(s144) | node11(s144) | node12(s144) | (~node14(s144, s145)) | m_main_v_state2(s145, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s145, c_n2) | node9(s144) | node8(s144) | node10(s144) | node11(s144) | node12(s144) | (~node14(s144, s145)) | (~m_main_v_state2(s144, c_c2)))),
% 4.84/3.72 inference(transitivity,[status(thm)],[11859, 11857])).
% 4.84/3.72 tff(11861,plain,
% 4.84/3.72 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s144, c_c2)) | node9(s144) | node8(s144) | node10(s144) | node11(s144) | node12(s144) | (~node14(s144, s145)) | m_main_v_state2(s145, c_n2))),
% 4.84/3.72 inference(quant_inst,[status(thm)],[])).
% 4.84/3.72 tff(11862,plain,
% 4.84/3.72 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s145, c_n2) | node9(s144) | node8(s144) | node10(s144) | node11(s144) | node12(s144) | (~node14(s144, s145)) | (~m_main_v_state2(s144, c_c2))),
% 4.84/3.72 inference(modus_ponens,[status(thm)],[11861, 11860])).
% 4.84/3.72 tff(11863,plain,
% 4.84/3.72 (m_main_v_state2(s145, c_n2) | node9(s144) | node8(s144) | node10(s144) | node11(s144) | node12(s144) | (~m_main_v_state2(s144, c_c2))),
% 4.84/3.72 inference(unit_resolution,[status(thm)],[11862, 726, 11856])).
% 4.84/3.72 tff(11864,plain,
% 4.84/3.72 (m_main_v_state2(s145, c_n2)),
% 4.84/3.72 inference(unit_resolution,[status(thm)],[11863, 11852, 11797, 11848, 11844, 11840, 11836])).
% 4.84/3.72 tff(11865,plain,
% 4.84/3.72 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s145, c_n2)) | (~m_main_v_state2(s145, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s145, c_n2)) | (~m_main_v_state2(s145, c_t2)))),
% 4.84/3.72 inference(rewrite,[status(thm)],[])).
% 4.84/3.72 tff(11866,plain,
% 4.84/3.72 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s145, c_n2)) | (~m_main_v_state2(s145, c_t2)))),
% 4.84/3.72 inference(quant_inst,[status(thm)],[])).
% 4.84/3.72 tff(11867,plain,
% 4.84/3.72 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s145, c_n2)) | (~m_main_v_state2(s145, c_t2))),
% 4.84/3.72 inference(modus_ponens,[status(thm)],[11866, 11865])).
% 4.84/3.72 tff(11868,plain,
% 4.84/3.72 (~m_main_v_state2(s145, c_t2)),
% 4.84/3.72 inference(unit_resolution,[status(thm)],[11867, 77, 11864])).
% 4.84/3.72 tff(11869,plain,
% 4.84/3.72 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s145, c_t2) | (~node15(s145)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s145, c_t2) | (~node15(s145)))),
% 4.84/3.72 inference(rewrite,[status(thm)],[])).
% 4.84/3.72 tff(11870,plain,
% 4.84/3.72 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s145, c_t2) | (~node15(s145)))),
% 4.84/3.72 inference(quant_inst,[status(thm)],[])).
% 4.84/3.72 tff(11871,plain,
% 4.84/3.72 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s145, c_t2) | (~node15(s145))),
% 4.84/3.72 inference(modus_ponens,[status(thm)],[11870, 11869])).
% 4.84/3.72 tff(11872,plain,
% 4.84/3.72 (~node15(s145)),
% 4.84/3.72 inference(unit_resolution,[status(thm)],[11871, 103, 11868])).
% 4.84/3.72 tff(11873,plain,
% 4.84/3.72 (succ(s145, s146) <=> succ(s145, s146)),
% 4.84/3.72 inference(rewrite,[status(thm)],[])).
% 4.84/3.72 tff(11874,axiom,(succ(s145, s146)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound146')).
% 4.84/3.72 tff(11875,plain,
% 4.84/3.72 (succ(s145, s146)),
% 4.84/3.72 inference(modus_ponens,[status(thm)],[11874, 11873])).
% 4.84/3.72 tff(11876,plain,
% 4.84/3.72 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s145, s146)) | trans(s145, s146))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s145, s146)) | trans(s145, s146))),
% 4.84/3.72 inference(rewrite,[status(thm)],[])).
% 4.84/3.72 tff(11877,plain,
% 4.84/3.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s145, s146)) | trans(s145, s146))),
% 4.84/3.72 inference(quant_inst,[status(thm)],[])).
% 4.84/3.72 tff(11878,plain,
% 4.84/3.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s145, s146)) | trans(s145, s146)),
% 4.84/3.72 inference(modus_ponens,[status(thm)],[11877, 11876])).
% 4.84/3.72 tff(11879,plain,
% 4.84/3.72 (trans(s145, s146)),
% 4.84/3.72 inference(unit_resolution,[status(thm)],[11878, 11875, 32])).
% 4.84/3.72 tff(11880,plain,
% 4.84/3.72 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s145, s146)) | node18(s145, s146))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s145, s146)) | node18(s145, s146))),
% 4.84/3.72 inference(rewrite,[status(thm)],[])).
% 4.84/3.72 tff(11881,plain,
% 4.84/3.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s145, s146)) | node18(s145, s146))),
% 4.84/3.72 inference(quant_inst,[status(thm)],[])).
% 4.84/3.72 tff(11882,plain,
% 4.84/3.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s145, s146)) | node18(s145, s146)),
% 4.84/3.72 inference(modus_ponens,[status(thm)],[11881, 11880])).
% 4.84/3.72 tff(11883,plain,
% 4.84/3.72 (node18(s145, s146)),
% 4.84/3.72 inference(unit_resolution,[status(thm)],[11882, 125, 11879])).
% 4.84/3.72 tff(11884,plain,
% 4.84/3.72 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s145) | (~node18(s145, s146)) | (~m_main_v_state1(s145, c_t1)) | (~m_main_v_state2(s145, c_n2)) | m_main_v_turn(s146, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s145) | (~node18(s145, s146)) | (~m_main_v_state1(s145, c_t1)) | (~m_main_v_state2(s145, c_n2)) | m_main_v_turn(s146, c_1))),
% 4.84/3.72 inference(rewrite,[status(thm)],[])).
% 4.84/3.72 tff(11885,plain,
% 4.84/3.72 (((~m_main_v_state1(s145, c_t1)) | (~m_main_v_state2(s145, c_n2)) | node15(s145) | (~node18(s145, s146)) | m_main_v_turn(s146, c_1)) <=> (node15(s145) | (~node18(s145, s146)) | (~m_main_v_state1(s145, c_t1)) | (~m_main_v_state2(s145, c_n2)) | m_main_v_turn(s146, c_1))),
% 4.84/3.72 inference(rewrite,[status(thm)],[])).
% 4.84/3.72 tff(11886,plain,
% 4.84/3.72 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s145, c_t1)) | (~m_main_v_state2(s145, c_n2)) | node15(s145) | (~node18(s145, s146)) | m_main_v_turn(s146, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s145) | (~node18(s145, s146)) | (~m_main_v_state1(s145, c_t1)) | (~m_main_v_state2(s145, c_n2)) | m_main_v_turn(s146, c_1)))),
% 4.84/3.72 inference(monotonicity,[status(thm)],[11885])).
% 4.84/3.72 tff(11887,plain,
% 4.84/3.72 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s145, c_t1)) | (~m_main_v_state2(s145, c_n2)) | node15(s145) | (~node18(s145, s146)) | m_main_v_turn(s146, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s145) | (~node18(s145, s146)) | (~m_main_v_state1(s145, c_t1)) | (~m_main_v_state2(s145, c_n2)) | m_main_v_turn(s146, c_1))),
% 4.84/3.72 inference(transitivity,[status(thm)],[11886, 11884])).
% 4.84/3.72 tff(11888,plain,
% 4.84/3.72 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s145, c_t1)) | (~m_main_v_state2(s145, c_n2)) | node15(s145) | (~node18(s145, s146)) | m_main_v_turn(s146, c_1))),
% 4.84/3.72 inference(quant_inst,[status(thm)],[])).
% 4.84/3.72 tff(11889,plain,
% 4.84/3.72 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s145) | (~node18(s145, s146)) | (~m_main_v_state1(s145, c_t1)) | (~m_main_v_state2(s145, c_n2)) | m_main_v_turn(s146, c_1)),
% 4.84/3.72 inference(modus_ponens,[status(thm)],[11888, 11887])).
% 4.84/3.72 tff(11890,plain,
% 4.84/3.72 (node15(s145) | (~m_main_v_state1(s145, c_t1)) | (~m_main_v_state2(s145, c_n2)) | m_main_v_turn(s146, c_1)),
% 4.84/3.72 inference(unit_resolution,[status(thm)],[11889, 992, 11883])).
% 4.84/3.72 tff(11891,plain,
% 4.84/3.72 (m_main_v_turn(s146, c_1)),
% 4.84/3.72 inference(unit_resolution,[status(thm)],[11890, 11872, 11864, 11828])).
% 4.84/3.72 tff(11892,plain,
% 4.84/3.72 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s146, c_1)) | (~m_main_v_turn(s146, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s146, c_1)) | (~m_main_v_turn(s146, c_2)))),
% 4.84/3.72 inference(rewrite,[status(thm)],[])).
% 4.84/3.72 tff(11893,plain,
% 4.84/3.72 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s146, c_1)) | (~m_main_v_turn(s146, c_2)))),
% 4.84/3.72 inference(quant_inst,[status(thm)],[])).
% 4.84/3.72 tff(11894,plain,
% 4.84/3.72 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s146, c_1)) | (~m_main_v_turn(s146, c_2))),
% 4.84/3.72 inference(modus_ponens,[status(thm)],[11893, 11892])).
% 4.84/3.72 tff(11895,plain,
% 4.84/3.72 (~m_main_v_turn(s146, c_2)),
% 4.84/3.72 inference(unit_resolution,[status(thm)],[11894, 156, 11891])).
% 4.84/3.72 tff(11896,plain,
% 4.84/3.72 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s146, c_2) | (~node12(s146)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s146, c_2) | (~node12(s146)))),
% 4.84/3.72 inference(rewrite,[status(thm)],[])).
% 4.84/3.72 tff(11897,plain,
% 4.84/3.72 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s146, c_2) | (~node12(s146)))),
% 4.84/3.72 inference(quant_inst,[status(thm)],[])).
% 4.84/3.72 tff(11898,plain,
% 4.84/3.72 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s146, c_2) | (~node12(s146))),
% 4.84/3.72 inference(modus_ponens,[status(thm)],[11897, 11896])).
% 4.84/3.72 tff(11899,plain,
% 4.84/3.72 (~node12(s146)),
% 4.84/3.72 inference(unit_resolution,[status(thm)],[11898, 184, 11895])).
% 4.84/3.72 tff(11900,plain,
% 4.84/3.72 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s145, s146)) | node14(s145, s146))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s145, s146)) | node14(s145, s146))),
% 4.84/3.72 inference(rewrite,[status(thm)],[])).
% 4.84/3.72 tff(11901,plain,
% 4.84/3.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s145, s146)) | node14(s145, s146))),
% 4.84/3.72 inference(quant_inst,[status(thm)],[])).
% 4.84/3.72 tff(11902,plain,
% 4.84/3.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s145, s146)) | node14(s145, s146)),
% 4.84/3.72 inference(modus_ponens,[status(thm)],[11901, 11900])).
% 4.84/3.72 tff(11903,plain,
% 4.84/3.72 (node14(s145, s146)),
% 4.84/3.72 inference(unit_resolution,[status(thm)],[11902, 46, 11879])).
% 4.84/3.72 tff(11904,plain,
% 4.84/3.72 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s145, c_t1)) | (~m_main_v_state2(s145, c_n2)) | (~node14(s145, s146)) | m_main_v_state2(s146, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s145, c_t1)) | (~m_main_v_state2(s145, c_n2)) | (~node14(s145, s146)) | m_main_v_state2(s146, c_t2))),
% 4.84/3.72 inference(rewrite,[status(thm)],[])).
% 4.84/3.72 tff(11905,plain,
% 4.84/3.72 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s145, c_t1)) | (~m_main_v_state2(s145, c_n2)) | (~node14(s145, s146)) | m_main_v_state2(s146, c_t2))),
% 4.84/3.72 inference(quant_inst,[status(thm)],[])).
% 4.84/3.72 tff(11906,plain,
% 4.84/3.73 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s145, c_t1)) | (~m_main_v_state2(s145, c_n2)) | (~node14(s145, s146)) | m_main_v_state2(s146, c_t2)),
% 4.84/3.73 inference(modus_ponens,[status(thm)],[11905, 11904])).
% 4.84/3.73 tff(11907,plain,
% 4.84/3.73 ((~m_main_v_state1(s145, c_t1)) | (~m_main_v_state2(s145, c_n2)) | m_main_v_state2(s146, c_t2)),
% 4.84/3.73 inference(unit_resolution,[status(thm)],[11906, 922, 11903])).
% 4.84/3.73 tff(11908,plain,
% 4.84/3.73 (m_main_v_state2(s146, c_t2)),
% 4.84/3.73 inference(unit_resolution,[status(thm)],[11907, 11828, 11864])).
% 4.84/3.73 tff(11909,plain,
% 4.84/3.73 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s146, c_n2)) | (~m_main_v_state2(s146, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s146, c_n2)) | (~m_main_v_state2(s146, c_t2)))),
% 4.84/3.73 inference(rewrite,[status(thm)],[])).
% 4.84/3.73 tff(11910,plain,
% 4.84/3.73 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s146, c_n2)) | (~m_main_v_state2(s146, c_t2)))),
% 4.84/3.73 inference(quant_inst,[status(thm)],[])).
% 4.84/3.73 tff(11911,plain,
% 4.84/3.73 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s146, c_n2)) | (~m_main_v_state2(s146, c_t2))),
% 4.84/3.73 inference(modus_ponens,[status(thm)],[11910, 11909])).
% 4.84/3.73 tff(11912,plain,
% 4.84/3.73 (~m_main_v_state2(s146, c_n2)),
% 4.84/3.73 inference(unit_resolution,[status(thm)],[11911, 77, 11908])).
% 4.84/3.73 tff(11913,plain,
% 4.84/3.73 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s146, c_n2) | (~node8(s146)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s146, c_n2) | (~node8(s146)))),
% 4.84/3.73 inference(rewrite,[status(thm)],[])).
% 4.84/3.73 tff(11914,plain,
% 4.84/3.73 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s146, c_n2) | (~node8(s146)))),
% 4.84/3.73 inference(quant_inst,[status(thm)],[])).
% 4.84/3.73 tff(11915,plain,
% 4.84/3.73 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s146, c_n2) | (~node8(s146))),
% 4.84/3.73 inference(modus_ponens,[status(thm)],[11914, 11913])).
% 4.84/3.73 tff(11916,plain,
% 4.84/3.73 (~node8(s146)),
% 4.84/3.73 inference(unit_resolution,[status(thm)],[11915, 271, 11912])).
% 4.84/3.73 tff(11917,plain,
% 4.84/3.73 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s146, c_n2) | (~node9(s146)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s146, c_n2) | (~node9(s146)))),
% 4.84/3.73 inference(rewrite,[status(thm)],[])).
% 4.84/3.73 tff(11918,plain,
% 4.84/3.73 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s146, c_n2) | (~node9(s146)))),
% 4.84/3.73 inference(quant_inst,[status(thm)],[])).
% 4.84/3.73 tff(11919,plain,
% 4.84/3.73 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s146, c_n2) | (~node9(s146))),
% 4.84/3.73 inference(modus_ponens,[status(thm)],[11918, 11917])).
% 4.84/3.73 tff(11920,plain,
% 4.84/3.73 (~node9(s146)),
% 4.84/3.73 inference(unit_resolution,[status(thm)],[11919, 88, 11912])).
% 4.84/3.73 tff(11921,plain,
% 4.84/3.73 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s146, c_n2) | (~node10(s146)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s146, c_n2) | (~node10(s146)))),
% 4.84/3.73 inference(rewrite,[status(thm)],[])).
% 4.84/3.73 tff(11922,plain,
% 4.84/3.73 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s146, c_n2) | (~node10(s146)))),
% 4.84/3.73 inference(quant_inst,[status(thm)],[])).
% 4.84/3.73 tff(11923,plain,
% 4.84/3.73 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s146, c_n2) | (~node10(s146))),
% 4.84/3.73 inference(modus_ponens,[status(thm)],[11922, 11921])).
% 4.84/3.73 tff(11924,plain,
% 4.84/3.73 (~node10(s146)),
% 4.84/3.73 inference(unit_resolution,[status(thm)],[11923, 249, 11912])).
% 4.84/3.73 tff(11925,plain,
% 4.84/3.73 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s146, c_t2)) | (~m_main_v_state2(s146, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s146, c_t2)) | (~m_main_v_state2(s146, c_c2)))),
% 4.84/3.73 inference(rewrite,[status(thm)],[])).
% 4.84/3.73 tff(11926,plain,
% 4.84/3.73 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s146, c_t2)) | (~m_main_v_state2(s146, c_c2)))),
% 4.84/3.73 inference(quant_inst,[status(thm)],[])).
% 4.84/3.73 tff(11927,plain,
% 4.84/3.73 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s146, c_t2)) | (~m_main_v_state2(s146, c_c2))),
% 4.84/3.73 inference(modus_ponens,[status(thm)],[11926, 11925])).
% 4.84/3.73 tff(11928,plain,
% 4.84/3.73 (~m_main_v_state2(s146, c_c2)),
% 4.84/3.73 inference(unit_resolution,[status(thm)],[11927, 260, 11908])).
% 4.84/3.73 tff(11929,plain,
% 4.84/3.73 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s145, c_n2)) | (~m_main_v_state2(s145, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s145, c_n2)) | (~m_main_v_state2(s145, c_c2)))),
% 4.84/3.73 inference(rewrite,[status(thm)],[])).
% 4.84/3.73 tff(11930,plain,
% 4.84/3.73 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s145, c_n2)) | (~m_main_v_state2(s145, c_c2)))),
% 4.84/3.73 inference(quant_inst,[status(thm)],[])).
% 4.84/3.73 tff(11931,plain,
% 4.84/3.73 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s145, c_n2)) | (~m_main_v_state2(s145, c_c2))),
% 4.84/3.73 inference(modus_ponens,[status(thm)],[11930, 11929])).
% 4.84/3.73 tff(11932,plain,
% 4.84/3.73 (~m_main_v_state2(s145, c_c2)),
% 4.84/3.73 inference(unit_resolution,[status(thm)],[11931, 697, 11864])).
% 4.84/3.73 tff(11933,plain,
% 4.84/3.73 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s145, c_c2) | (~node3(s145)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s145, c_c2) | (~node3(s145)))),
% 4.84/3.73 inference(rewrite,[status(thm)],[])).
% 4.84/3.73 tff(11934,plain,
% 4.84/3.73 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s145, c_c2) | (~node3(s145)))),
% 4.84/3.73 inference(quant_inst,[status(thm)],[])).
% 4.84/3.73 tff(11935,plain,
% 4.84/3.73 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s145, c_c2) | (~node3(s145))),
% 4.84/3.73 inference(modus_ponens,[status(thm)],[11934, 11933])).
% 4.84/3.73 tff(11936,plain,
% 4.84/3.73 (~node3(s145)),
% 4.84/3.73 inference(unit_resolution,[status(thm)],[11935, 399, 11932])).
% 4.84/3.73 tff(11937,plain,
% 4.84/3.73 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s144, c_n1) | (~m_main_v_state1(s145, c_n1)) | (~node6(s144, s145)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s144, c_n1) | (~m_main_v_state1(s145, c_n1)) | (~node6(s144, s145)))),
% 4.84/3.73 inference(rewrite,[status(thm)],[])).
% 4.84/3.73 tff(11938,plain,
% 4.84/3.73 (((~node6(s144, s145)) | m_main_v_state1(s144, c_n1) | (~m_main_v_state1(s145, c_n1))) <=> (m_main_v_state1(s144, c_n1) | (~m_main_v_state1(s145, c_n1)) | (~node6(s144, s145)))),
% 4.84/3.73 inference(rewrite,[status(thm)],[])).
% 4.84/3.73 tff(11939,plain,
% 4.84/3.73 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s144, s145)) | m_main_v_state1(s144, c_n1) | (~m_main_v_state1(s145, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s144, c_n1) | (~m_main_v_state1(s145, c_n1)) | (~node6(s144, s145))))),
% 4.84/3.73 inference(monotonicity,[status(thm)],[11938])).
% 4.84/3.73 tff(11940,plain,
% 4.84/3.73 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s144, s145)) | m_main_v_state1(s144, c_n1) | (~m_main_v_state1(s145, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s144, c_n1) | (~m_main_v_state1(s145, c_n1)) | (~node6(s144, s145)))),
% 4.84/3.73 inference(transitivity,[status(thm)],[11939, 11937])).
% 4.84/3.73 tff(11941,plain,
% 4.84/3.73 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s144, s145)) | m_main_v_state1(s144, c_n1) | (~m_main_v_state1(s145, c_n1)))),
% 4.84/3.73 inference(quant_inst,[status(thm)],[])).
% 4.84/3.73 tff(11942,plain,
% 4.84/3.73 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s144, c_n1) | (~m_main_v_state1(s145, c_n1)) | (~node6(s144, s145))),
% 4.84/3.73 inference(modus_ponens,[status(thm)],[11941, 11940])).
% 4.84/3.73 tff(11943,plain,
% 4.84/3.73 (~m_main_v_state1(s145, c_n1)),
% 4.84/3.73 inference(unit_resolution,[status(thm)],[11942, 835, 11736, 11821])).
% 4.84/3.73 tff(11944,plain,
% 4.84/3.73 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s145, c_n1) | (~node2(s145)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s145, c_n1) | (~node2(s145)))),
% 4.84/3.73 inference(rewrite,[status(thm)],[])).
% 4.84/3.73 tff(11945,plain,
% 4.84/3.73 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s145, c_n1) | (~node2(s145)))),
% 4.84/3.73 inference(quant_inst,[status(thm)],[])).
% 4.84/3.73 tff(11946,plain,
% 4.84/3.73 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s145, c_n1) | (~node2(s145))),
% 4.84/3.73 inference(modus_ponens,[status(thm)],[11945, 11944])).
% 4.84/3.73 tff(11947,plain,
% 4.84/3.73 (~node2(s145)),
% 4.84/3.73 inference(unit_resolution,[status(thm)],[11946, 787, 11943])).
% 4.84/3.73 tff(11948,plain,
% 4.84/3.73 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s145, c_t2) | (~node1(s145)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s145, c_t2) | (~node1(s145)))),
% 4.84/3.73 inference(rewrite,[status(thm)],[])).
% 4.84/3.73 tff(11949,plain,
% 4.84/3.73 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s145, c_t2) | (~node1(s145)))),
% 4.84/3.73 inference(quant_inst,[status(thm)],[])).
% 4.84/3.73 tff(11950,plain,
% 4.84/3.73 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s145, c_t2) | (~node1(s145))),
% 4.84/3.73 inference(modus_ponens,[status(thm)],[11949, 11948])).
% 4.84/3.73 tff(11951,plain,
% 4.84/3.73 (~node1(s145)),
% 4.84/3.73 inference(unit_resolution,[status(thm)],[11950, 195, 11868])).
% 4.84/3.73 tff(11952,plain,
% 4.84/3.73 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s145, s146)) | node7(s145, s146))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s145, s146)) | node7(s145, s146))),
% 4.84/3.73 inference(rewrite,[status(thm)],[])).
% 4.84/3.73 tff(11953,plain,
% 4.84/3.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s145, s146)) | node7(s145, s146))),
% 4.84/3.73 inference(quant_inst,[status(thm)],[])).
% 4.84/3.73 tff(11954,plain,
% 4.84/3.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s145, s146)) | node7(s145, s146)),
% 4.84/3.73 inference(modus_ponens,[status(thm)],[11953, 11952])).
% 4.84/3.73 tff(11955,plain,
% 4.84/3.73 (node7(s145, s146)),
% 4.84/3.73 inference(unit_resolution,[status(thm)],[11954, 206, 11879])).
% 4.84/3.73 tff(11956,plain,
% 4.84/3.73 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s145, c_t1)) | (~m_main_v_state2(s145, c_n2)) | m_main_v_state1(s146, c_c1) | node1(s145) | node2(s145) | node3(s145) | (~node7(s145, s146)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s145, c_t1)) | (~m_main_v_state2(s145, c_n2)) | m_main_v_state1(s146, c_c1) | node1(s145) | node2(s145) | node3(s145) | (~node7(s145, s146)))),
% 4.84/3.73 inference(rewrite,[status(thm)],[])).
% 4.84/3.73 tff(11957,plain,
% 4.84/3.73 (((~m_main_v_state1(s145, c_t1)) | (~m_main_v_state2(s145, c_n2)) | node1(s145) | node2(s145) | node3(s145) | (~node7(s145, s146)) | m_main_v_state1(s146, c_c1)) <=> ((~m_main_v_state1(s145, c_t1)) | (~m_main_v_state2(s145, c_n2)) | m_main_v_state1(s146, c_c1) | node1(s145) | node2(s145) | node3(s145) | (~node7(s145, s146)))),
% 4.84/3.73 inference(rewrite,[status(thm)],[])).
% 4.84/3.73 tff(11958,plain,
% 4.84/3.73 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s145, c_t1)) | (~m_main_v_state2(s145, c_n2)) | node1(s145) | node2(s145) | node3(s145) | (~node7(s145, s146)) | m_main_v_state1(s146, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s145, c_t1)) | (~m_main_v_state2(s145, c_n2)) | m_main_v_state1(s146, c_c1) | node1(s145) | node2(s145) | node3(s145) | (~node7(s145, s146))))),
% 4.84/3.73 inference(monotonicity,[status(thm)],[11957])).
% 4.84/3.73 tff(11959,plain,
% 4.84/3.73 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s145, c_t1)) | (~m_main_v_state2(s145, c_n2)) | node1(s145) | node2(s145) | node3(s145) | (~node7(s145, s146)) | m_main_v_state1(s146, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s145, c_t1)) | (~m_main_v_state2(s145, c_n2)) | m_main_v_state1(s146, c_c1) | node1(s145) | node2(s145) | node3(s145) | (~node7(s145, s146)))),
% 4.84/3.73 inference(transitivity,[status(thm)],[11958, 11956])).
% 4.84/3.73 tff(11960,plain,
% 4.84/3.73 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s145, c_t1)) | (~m_main_v_state2(s145, c_n2)) | node1(s145) | node2(s145) | node3(s145) | (~node7(s145, s146)) | m_main_v_state1(s146, c_c1))),
% 4.84/3.73 inference(quant_inst,[status(thm)],[])).
% 4.84/3.73 tff(11961,plain,
% 4.84/3.73 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s145, c_t1)) | (~m_main_v_state2(s145, c_n2)) | m_main_v_state1(s146, c_c1) | node1(s145) | node2(s145) | node3(s145) | (~node7(s145, s146))),
% 4.84/3.73 inference(modus_ponens,[status(thm)],[11960, 11959])).
% 4.84/3.73 tff(11962,plain,
% 4.84/3.73 ((~m_main_v_state1(s145, c_t1)) | (~m_main_v_state2(s145, c_n2)) | m_main_v_state1(s146, c_c1) | node1(s145) | node2(s145) | node3(s145)),
% 4.84/3.73 inference(unit_resolution,[status(thm)],[11961, 892, 11955])).
% 4.84/3.73 tff(11963,plain,
% 4.84/3.73 (m_main_v_state1(s146, c_c1)),
% 4.84/3.73 inference(unit_resolution,[status(thm)],[11962, 11951, 11864, 11828, 11947, 11936])).
% 4.84/3.73 tff(11964,plain,
% 4.84/3.73 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s146, c_n1)) | (~m_main_v_state1(s146, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s146, c_n1)) | (~m_main_v_state1(s146, c_c1)))),
% 4.84/3.73 inference(rewrite,[status(thm)],[])).
% 4.84/3.73 tff(11965,plain,
% 4.84/3.73 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s146, c_n1)) | (~m_main_v_state1(s146, c_c1)))),
% 4.84/3.73 inference(quant_inst,[status(thm)],[])).
% 4.84/3.73 tff(11966,plain,
% 4.84/3.73 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s146, c_n1)) | (~m_main_v_state1(s146, c_c1))),
% 4.84/3.73 inference(modus_ponens,[status(thm)],[11965, 11964])).
% 4.84/3.73 tff(11967,plain,
% 4.84/3.73 (~m_main_v_state1(s146, c_n1)),
% 4.84/3.73 inference(unit_resolution,[status(thm)],[11966, 454, 11963])).
% 4.84/3.73 tff(11968,plain,
% 4.84/3.73 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s146, c_n1) | (~node11(s146)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s146, c_n1) | (~node11(s146)))),
% 4.84/3.73 inference(rewrite,[status(thm)],[])).
% 4.84/3.73 tff(11969,plain,
% 4.84/3.73 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s146, c_n1) | (~node11(s146)))),
% 4.84/3.73 inference(quant_inst,[status(thm)],[])).
% 4.84/3.73 tff(11970,plain,
% 4.84/3.73 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s146, c_n1) | (~node11(s146))),
% 4.84/3.73 inference(modus_ponens,[status(thm)],[11969, 11968])).
% 4.84/3.73 tff(11971,plain,
% 4.84/3.73 (~node11(s146)),
% 4.84/3.73 inference(unit_resolution,[status(thm)],[11970, 238, 11967])).
% 4.84/3.73 tff(11972,plain,
% 4.84/3.73 (succ(s146, s147) <=> succ(s146, s147)),
% 4.84/3.73 inference(rewrite,[status(thm)],[])).
% 4.84/3.73 tff(11973,axiom,(succ(s146, s147)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound147')).
% 4.84/3.73 tff(11974,plain,
% 4.84/3.73 (succ(s146, s147)),
% 4.84/3.73 inference(modus_ponens,[status(thm)],[11973, 11972])).
% 4.84/3.73 tff(11975,plain,
% 4.84/3.73 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s146, s147)) | trans(s146, s147))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s146, s147)) | trans(s146, s147))),
% 4.84/3.73 inference(rewrite,[status(thm)],[])).
% 4.84/3.73 tff(11976,plain,
% 4.84/3.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s146, s147)) | trans(s146, s147))),
% 4.84/3.73 inference(quant_inst,[status(thm)],[])).
% 4.84/3.73 tff(11977,plain,
% 4.84/3.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s146, s147)) | trans(s146, s147)),
% 4.84/3.73 inference(modus_ponens,[status(thm)],[11976, 11975])).
% 4.84/3.73 tff(11978,plain,
% 4.84/3.73 (trans(s146, s147)),
% 4.84/3.73 inference(unit_resolution,[status(thm)],[11977, 11974, 32])).
% 4.84/3.73 tff(11979,plain,
% 4.84/3.73 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s146, s147)) | node14(s146, s147))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s146, s147)) | node14(s146, s147))),
% 4.84/3.73 inference(rewrite,[status(thm)],[])).
% 4.84/3.73 tff(11980,plain,
% 4.84/3.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s146, s147)) | node14(s146, s147))),
% 4.84/3.73 inference(quant_inst,[status(thm)],[])).
% 4.84/3.73 tff(11981,plain,
% 4.84/3.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s146, s147)) | node14(s146, s147)),
% 4.84/3.73 inference(modus_ponens,[status(thm)],[11980, 11979])).
% 4.84/3.73 tff(11982,plain,
% 4.84/3.73 (node14(s146, s147)),
% 4.84/3.73 inference(unit_resolution,[status(thm)],[11981, 46, 11978])).
% 4.84/3.73 tff(11983,plain,
% 4.84/3.73 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s146, c_c2) | node9(s146) | node8(s146) | node10(s146) | node11(s146) | node12(s146) | node13(s146, s147) | (~node14(s146, s147)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s146, c_c2) | node9(s146) | node8(s146) | node10(s146) | node11(s146) | node12(s146) | node13(s146, s147) | (~node14(s146, s147)))),
% 4.84/3.73 inference(rewrite,[status(thm)],[])).
% 4.84/3.73 tff(11984,plain,
% 4.84/3.73 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s146, c_c2) | node9(s146) | node8(s146) | node10(s146) | node11(s146) | node12(s146) | node13(s146, s147) | (~node14(s146, s147)))),
% 4.84/3.73 inference(quant_inst,[status(thm)],[])).
% 4.84/3.73 tff(11985,plain,
% 4.84/3.73 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s146, c_c2) | node9(s146) | node8(s146) | node10(s146) | node11(s146) | node12(s146) | node13(s146, s147) | (~node14(s146, s147))),
% 4.84/3.73 inference(modus_ponens,[status(thm)],[11984, 11983])).
% 4.84/3.73 tff(11986,plain,
% 4.84/3.73 (m_main_v_state2(s146, c_c2) | node9(s146) | node8(s146) | node10(s146) | node11(s146) | node12(s146) | node13(s146, s147)),
% 4.84/3.73 inference(unit_resolution,[status(thm)],[11985, 296, 11982])).
% 4.84/3.73 tff(11987,plain,
% 4.84/3.73 (node13(s146, s147)),
% 4.84/3.73 inference(unit_resolution,[status(thm)],[11986, 11971, 11928, 11924, 11920, 11916, 11899])).
% 4.84/3.73 tff(11988,plain,
% 4.84/3.73 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s146, c_n2) | (~m_main_v_state2(s147, c_n2)) | (~node13(s146, s147)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s146, c_n2) | (~m_main_v_state2(s147, c_n2)) | (~node13(s146, s147)))),
% 4.84/3.73 inference(rewrite,[status(thm)],[])).
% 4.84/3.73 tff(11989,plain,
% 4.84/3.73 (((~node13(s146, s147)) | m_main_v_state2(s146, c_n2) | (~m_main_v_state2(s147, c_n2))) <=> (m_main_v_state2(s146, c_n2) | (~m_main_v_state2(s147, c_n2)) | (~node13(s146, s147)))),
% 4.84/3.73 inference(rewrite,[status(thm)],[])).
% 4.84/3.73 tff(11990,plain,
% 4.84/3.73 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s146, s147)) | m_main_v_state2(s146, c_n2) | (~m_main_v_state2(s147, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s146, c_n2) | (~m_main_v_state2(s147, c_n2)) | (~node13(s146, s147))))),
% 4.84/3.73 inference(monotonicity,[status(thm)],[11989])).
% 4.84/3.73 tff(11991,plain,
% 4.84/3.73 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s146, s147)) | m_main_v_state2(s146, c_n2) | (~m_main_v_state2(s147, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s146, c_n2) | (~m_main_v_state2(s147, c_n2)) | (~node13(s146, s147)))),
% 4.84/3.73 inference(transitivity,[status(thm)],[11990, 11988])).
% 4.84/3.73 tff(11992,plain,
% 4.84/3.73 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s146, s147)) | m_main_v_state2(s146, c_n2) | (~m_main_v_state2(s147, c_n2)))),
% 4.84/3.73 inference(quant_inst,[status(thm)],[])).
% 4.84/3.73 tff(11993,plain,
% 4.84/3.73 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s146, c_n2) | (~m_main_v_state2(s147, c_n2)) | (~node13(s146, s147))),
% 4.84/3.73 inference(modus_ponens,[status(thm)],[11992, 11991])).
% 4.84/3.73 tff(11994,plain,
% 4.84/3.73 (~m_main_v_state2(s147, c_n2)),
% 4.84/3.73 inference(unit_resolution,[status(thm)],[11993, 311, 11912, 11987])).
% 4.84/3.73 tff(11995,plain,
% 4.84/3.73 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s147, c_n2) | (~node9(s147)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s147, c_n2) | (~node9(s147)))),
% 4.84/3.73 inference(rewrite,[status(thm)],[])).
% 4.84/3.73 tff(11996,plain,
% 4.84/3.73 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s147, c_n2) | (~node9(s147)))),
% 4.84/3.73 inference(quant_inst,[status(thm)],[])).
% 4.84/3.73 tff(11997,plain,
% 4.84/3.73 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s147, c_n2) | (~node9(s147))),
% 4.84/3.73 inference(modus_ponens,[status(thm)],[11996, 11995])).
% 4.84/3.73 tff(11998,plain,
% 4.84/3.73 (~node9(s147)),
% 4.84/3.73 inference(unit_resolution,[status(thm)],[11997, 88, 11994])).
% 4.84/3.73 tff(11999,plain,
% 4.84/3.73 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s147, c_n2) | (~node10(s147)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s147, c_n2) | (~node10(s147)))),
% 4.84/3.73 inference(rewrite,[status(thm)],[])).
% 4.84/3.73 tff(12000,plain,
% 4.84/3.73 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s147, c_n2) | (~node10(s147)))),
% 4.84/3.73 inference(quant_inst,[status(thm)],[])).
% 4.84/3.73 tff(12001,plain,
% 4.84/3.73 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s147, c_n2) | (~node10(s147))),
% 4.84/3.73 inference(modus_ponens,[status(thm)],[12000, 11999])).
% 4.84/3.73 tff(12002,plain,
% 4.84/3.73 (~node10(s147)),
% 4.84/3.73 inference(unit_resolution,[status(thm)],[12001, 249, 11994])).
% 4.84/3.73 tff(12003,plain,
% 4.84/3.73 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s146, c_t2)) | m_main_v_state2(s147, c_t2) | (~node13(s146, s147)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s146, c_t2)) | m_main_v_state2(s147, c_t2) | (~node13(s146, s147)))),
% 4.84/3.73 inference(rewrite,[status(thm)],[])).
% 4.84/3.73 tff(12004,plain,
% 4.84/3.73 (((~node13(s146, s147)) | (~m_main_v_state2(s146, c_t2)) | m_main_v_state2(s147, c_t2)) <=> ((~m_main_v_state2(s146, c_t2)) | m_main_v_state2(s147, c_t2) | (~node13(s146, s147)))),
% 4.84/3.73 inference(rewrite,[status(thm)],[])).
% 4.84/3.73 tff(12005,plain,
% 4.84/3.73 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s146, s147)) | (~m_main_v_state2(s146, c_t2)) | m_main_v_state2(s147, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s146, c_t2)) | m_main_v_state2(s147, c_t2) | (~node13(s146, s147))))),
% 4.84/3.73 inference(monotonicity,[status(thm)],[12004])).
% 4.84/3.73 tff(12006,plain,
% 4.84/3.73 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s146, s147)) | (~m_main_v_state2(s146, c_t2)) | m_main_v_state2(s147, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s146, c_t2)) | m_main_v_state2(s147, c_t2) | (~node13(s146, s147)))),
% 4.84/3.73 inference(transitivity,[status(thm)],[12005, 12003])).
% 4.84/3.73 tff(12007,plain,
% 4.84/3.73 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s146, s147)) | (~m_main_v_state2(s146, c_t2)) | m_main_v_state2(s147, c_t2))),
% 4.84/3.73 inference(quant_inst,[status(thm)],[])).
% 4.84/3.73 tff(12008,plain,
% 4.84/3.73 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s146, c_t2)) | m_main_v_state2(s147, c_t2) | (~node13(s146, s147))),
% 4.84/3.73 inference(modus_ponens,[status(thm)],[12007, 12006])).
% 4.84/3.73 tff(12009,plain,
% 4.84/3.73 (m_main_v_state2(s147, c_t2)),
% 4.84/3.73 inference(unit_resolution,[status(thm)],[12008, 518, 11908, 11987])).
% 4.84/3.73 tff(12010,plain,
% 4.84/3.73 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s146, c_t1)) | (~m_main_v_state1(s146, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s146, c_t1)) | (~m_main_v_state1(s146, c_c1)))),
% 4.84/3.73 inference(rewrite,[status(thm)],[])).
% 4.84/3.73 tff(12011,plain,
% 4.84/3.73 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s146, c_t1)) | (~m_main_v_state1(s146, c_c1)))),
% 4.84/3.73 inference(quant_inst,[status(thm)],[])).
% 4.84/3.73 tff(12012,plain,
% 4.84/3.73 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s146, c_t1)) | (~m_main_v_state1(s146, c_c1))),
% 4.84/3.73 inference(modus_ponens,[status(thm)],[12011, 12010])).
% 4.84/3.73 tff(12013,plain,
% 4.84/3.73 (~m_main_v_state1(s146, c_t1)),
% 4.84/3.73 inference(unit_resolution,[status(thm)],[12012, 539, 11963])).
% 4.84/3.73 tff(12014,plain,
% 4.84/3.73 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s146, c_t1) | (~node5(s146)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s146, c_t1) | (~node5(s146)))),
% 4.84/3.73 inference(rewrite,[status(thm)],[])).
% 4.84/3.73 tff(12015,plain,
% 4.84/3.73 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s146, c_t1) | (~node5(s146)))),
% 4.84/3.73 inference(quant_inst,[status(thm)],[])).
% 4.84/3.73 tff(12016,plain,
% 4.84/3.73 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s146, c_t1) | (~node5(s146))),
% 4.84/3.73 inference(modus_ponens,[status(thm)],[12015, 12014])).
% 4.84/3.73 tff(12017,plain,
% 4.84/3.73 (~node5(s146)),
% 4.84/3.73 inference(unit_resolution,[status(thm)],[12016, 550, 12013])).
% 4.84/3.73 tff(12018,plain,
% 4.84/3.73 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s146, c_n2) | (~node4(s146)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s146, c_n2) | (~node4(s146)))),
% 4.84/3.73 inference(rewrite,[status(thm)],[])).
% 4.84/3.73 tff(12019,plain,
% 4.84/3.73 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s146, c_n2) | (~node4(s146)))),
% 4.84/3.73 inference(quant_inst,[status(thm)],[])).
% 4.84/3.73 tff(12020,plain,
% 4.84/3.73 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s146, c_n2) | (~node4(s146))),
% 4.84/3.73 inference(modus_ponens,[status(thm)],[12019, 12018])).
% 4.84/3.73 tff(12021,plain,
% 4.84/3.73 (~node4(s146)),
% 4.84/3.73 inference(unit_resolution,[status(thm)],[12020, 388, 11912])).
% 4.84/3.73 tff(12022,plain,
% 4.84/3.73 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s146, c_c2) | (~node3(s146)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s146, c_c2) | (~node3(s146)))),
% 4.84/3.73 inference(rewrite,[status(thm)],[])).
% 4.84/3.73 tff(12023,plain,
% 4.84/3.73 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s146, c_c2) | (~node3(s146)))),
% 4.84/3.73 inference(quant_inst,[status(thm)],[])).
% 4.84/3.73 tff(12024,plain,
% 4.84/3.73 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s146, c_c2) | (~node3(s146))),
% 4.84/3.73 inference(modus_ponens,[status(thm)],[12023, 12022])).
% 4.84/3.73 tff(12025,plain,
% 4.84/3.74 (~node3(s146)),
% 4.84/3.74 inference(unit_resolution,[status(thm)],[12024, 399, 11928])).
% 4.84/3.74 tff(12026,plain,
% 4.84/3.74 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s146, c_n2) | (~node2(s146)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s146, c_n2) | (~node2(s146)))),
% 4.84/3.74 inference(rewrite,[status(thm)],[])).
% 4.84/3.74 tff(12027,plain,
% 4.84/3.74 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s146, c_n2) | (~node2(s146)))),
% 4.84/3.74 inference(quant_inst,[status(thm)],[])).
% 4.84/3.74 tff(12028,plain,
% 4.84/3.74 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s146, c_n2) | (~node2(s146))),
% 4.84/3.74 inference(modus_ponens,[status(thm)],[12027, 12026])).
% 4.84/3.74 tff(12029,plain,
% 4.84/3.74 (~node2(s146)),
% 4.84/3.74 inference(unit_resolution,[status(thm)],[12028, 410, 11912])).
% 4.84/3.74 tff(12030,plain,
% 4.84/3.74 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s146, c_n1) | (~node1(s146)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s146, c_n1) | (~node1(s146)))),
% 4.84/3.74 inference(rewrite,[status(thm)],[])).
% 4.84/3.74 tff(12031,plain,
% 4.84/3.74 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s146, c_n1) | (~node1(s146)))),
% 4.84/3.74 inference(quant_inst,[status(thm)],[])).
% 4.84/3.74 tff(12032,plain,
% 4.84/3.74 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s146, c_n1) | (~node1(s146))),
% 4.84/3.74 inference(modus_ponens,[status(thm)],[12031, 12030])).
% 4.84/3.74 tff(12033,plain,
% 4.84/3.74 (~node1(s146)),
% 4.84/3.74 inference(unit_resolution,[status(thm)],[12032, 421, 11967])).
% 4.84/3.74 tff(12034,plain,
% 4.84/3.74 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s146, s147)) | node7(s146, s147))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s146, s147)) | node7(s146, s147))),
% 4.84/3.74 inference(rewrite,[status(thm)],[])).
% 4.84/3.74 tff(12035,plain,
% 4.84/3.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s146, s147)) | node7(s146, s147))),
% 4.84/3.74 inference(quant_inst,[status(thm)],[])).
% 4.84/3.74 tff(12036,plain,
% 4.84/3.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s146, s147)) | node7(s146, s147)),
% 4.84/3.74 inference(modus_ponens,[status(thm)],[12035, 12034])).
% 4.84/3.74 tff(12037,plain,
% 4.84/3.74 (node7(s146, s147)),
% 4.84/3.74 inference(unit_resolution,[status(thm)],[12036, 206, 11978])).
% 4.84/3.74 tff(12038,plain,
% 4.84/3.74 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s147, c_n1) | (~m_main_v_state1(s146, c_c1)) | node1(s146) | node2(s146) | node3(s146) | node4(s146) | node5(s146) | (~node7(s146, s147)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s147, c_n1) | (~m_main_v_state1(s146, c_c1)) | node1(s146) | node2(s146) | node3(s146) | node4(s146) | node5(s146) | (~node7(s146, s147)))),
% 4.84/3.74 inference(rewrite,[status(thm)],[])).
% 4.84/3.74 tff(12039,plain,
% 4.84/3.74 (((~m_main_v_state1(s146, c_c1)) | node1(s146) | node2(s146) | node3(s146) | node4(s146) | node5(s146) | (~node7(s146, s147)) | m_main_v_state1(s147, c_n1)) <=> (m_main_v_state1(s147, c_n1) | (~m_main_v_state1(s146, c_c1)) | node1(s146) | node2(s146) | node3(s146) | node4(s146) | node5(s146) | (~node7(s146, s147)))),
% 4.84/3.74 inference(rewrite,[status(thm)],[])).
% 4.84/3.74 tff(12040,plain,
% 4.84/3.74 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s146, c_c1)) | node1(s146) | node2(s146) | node3(s146) | node4(s146) | node5(s146) | (~node7(s146, s147)) | m_main_v_state1(s147, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s147, c_n1) | (~m_main_v_state1(s146, c_c1)) | node1(s146) | node2(s146) | node3(s146) | node4(s146) | node5(s146) | (~node7(s146, s147))))),
% 4.84/3.74 inference(monotonicity,[status(thm)],[12039])).
% 4.84/3.74 tff(12041,plain,
% 4.84/3.74 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s146, c_c1)) | node1(s146) | node2(s146) | node3(s146) | node4(s146) | node5(s146) | (~node7(s146, s147)) | m_main_v_state1(s147, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s147, c_n1) | (~m_main_v_state1(s146, c_c1)) | node1(s146) | node2(s146) | node3(s146) | node4(s146) | node5(s146) | (~node7(s146, s147)))),
% 4.84/3.74 inference(transitivity,[status(thm)],[12040, 12038])).
% 4.84/3.74 tff(12042,plain,
% 4.84/3.74 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s146, c_c1)) | node1(s146) | node2(s146) | node3(s146) | node4(s146) | node5(s146) | (~node7(s146, s147)) | m_main_v_state1(s147, c_n1))),
% 4.84/3.74 inference(quant_inst,[status(thm)],[])).
% 4.84/3.74 tff(12043,plain,
% 4.84/3.74 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s147, c_n1) | (~m_main_v_state1(s146, c_c1)) | node1(s146) | node2(s146) | node3(s146) | node4(s146) | node5(s146) | (~node7(s146, s147))),
% 4.84/3.74 inference(modus_ponens,[status(thm)],[12042, 12041])).
% 4.84/3.74 tff(12044,plain,
% 4.84/3.74 (m_main_v_state1(s147, c_n1) | (~m_main_v_state1(s146, c_c1)) | node1(s146) | node2(s146) | node3(s146) | node4(s146) | node5(s146)),
% 4.84/3.74 inference(unit_resolution,[status(thm)],[12043, 584, 12037])).
% 4.84/3.74 tff(12045,plain,
% 4.84/3.74 (m_main_v_state1(s147, c_n1)),
% 4.84/3.74 inference(unit_resolution,[status(thm)],[12044, 12033, 11963, 12029, 12025, 12021, 12017])).
% 4.84/3.74 tff(12046,plain,
% 4.84/3.74 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s147, c_n2) | (~node8(s147)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s147, c_n2) | (~node8(s147)))),
% 4.84/3.74 inference(rewrite,[status(thm)],[])).
% 4.84/3.74 tff(12047,plain,
% 4.84/3.74 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s147, c_n2) | (~node8(s147)))),
% 4.84/3.74 inference(quant_inst,[status(thm)],[])).
% 4.84/3.74 tff(12048,plain,
% 4.84/3.74 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s147, c_n2) | (~node8(s147))),
% 4.84/3.74 inference(modus_ponens,[status(thm)],[12047, 12046])).
% 4.84/3.74 tff(12049,plain,
% 4.84/3.74 (~node8(s147)),
% 4.84/3.74 inference(unit_resolution,[status(thm)],[12048, 271, 11994])).
% 4.84/3.74 tff(12050,plain,
% 4.84/3.74 (succ(s147, s148) <=> succ(s147, s148)),
% 4.84/3.74 inference(rewrite,[status(thm)],[])).
% 4.84/3.74 tff(12051,axiom,(succ(s147, s148)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound148')).
% 4.84/3.74 tff(12052,plain,
% 4.84/3.74 (succ(s147, s148)),
% 4.84/3.74 inference(modus_ponens,[status(thm)],[12051, 12050])).
% 4.84/3.74 tff(12053,plain,
% 4.84/3.74 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s147, s148)) | trans(s147, s148))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s147, s148)) | trans(s147, s148))),
% 4.84/3.74 inference(rewrite,[status(thm)],[])).
% 4.84/3.74 tff(12054,plain,
% 4.84/3.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s147, s148)) | trans(s147, s148))),
% 4.84/3.74 inference(quant_inst,[status(thm)],[])).
% 4.84/3.74 tff(12055,plain,
% 4.84/3.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s147, s148)) | trans(s147, s148)),
% 4.84/3.74 inference(modus_ponens,[status(thm)],[12054, 12053])).
% 4.84/3.74 tff(12056,plain,
% 4.84/3.74 (trans(s147, s148)),
% 4.84/3.74 inference(unit_resolution,[status(thm)],[12055, 12052, 32])).
% 4.84/3.74 tff(12057,plain,
% 4.84/3.74 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s147, s148)) | node14(s147, s148))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s147, s148)) | node14(s147, s148))),
% 4.84/3.74 inference(rewrite,[status(thm)],[])).
% 4.84/3.74 tff(12058,plain,
% 4.84/3.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s147, s148)) | node14(s147, s148))),
% 4.84/3.74 inference(quant_inst,[status(thm)],[])).
% 4.84/3.74 tff(12059,plain,
% 4.84/3.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s147, s148)) | node14(s147, s148)),
% 4.84/3.74 inference(modus_ponens,[status(thm)],[12058, 12057])).
% 4.84/3.74 tff(12060,plain,
% 4.84/3.74 (node14(s147, s148)),
% 4.84/3.74 inference(unit_resolution,[status(thm)],[12059, 46, 12056])).
% 4.84/3.74 tff(12061,plain,
% 4.84/3.74 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s147, c_n1)) | (~m_main_v_state2(s147, c_t2)) | node9(s147) | node8(s147) | node10(s147) | (~node14(s147, s148)) | m_main_v_state2(s148, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s147, c_n1)) | (~m_main_v_state2(s147, c_t2)) | node9(s147) | node8(s147) | node10(s147) | (~node14(s147, s148)) | m_main_v_state2(s148, c_c2))),
% 4.84/3.74 inference(rewrite,[status(thm)],[])).
% 4.84/3.74 tff(12062,plain,
% 4.84/3.74 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s147, c_n1)) | (~m_main_v_state2(s147, c_t2)) | node9(s147) | node8(s147) | node10(s147) | (~node14(s147, s148)) | m_main_v_state2(s148, c_c2))),
% 4.84/3.74 inference(quant_inst,[status(thm)],[])).
% 4.84/3.74 tff(12063,plain,
% 4.84/3.74 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s147, c_n1)) | (~m_main_v_state2(s147, c_t2)) | node9(s147) | node8(s147) | node10(s147) | (~node14(s147, s148)) | m_main_v_state2(s148, c_c2)),
% 4.84/3.74 inference(modus_ponens,[status(thm)],[12062, 12061])).
% 4.84/3.74 tff(12064,plain,
% 4.84/3.74 ((~m_main_v_state1(s147, c_n1)) | (~m_main_v_state2(s147, c_t2)) | node9(s147) | node8(s147) | node10(s147) | m_main_v_state2(s148, c_c2)),
% 4.84/3.74 inference(unit_resolution,[status(thm)],[12063, 617, 12060])).
% 4.84/3.74 tff(12065,plain,
% 4.84/3.74 (m_main_v_state2(s148, c_c2)),
% 4.84/3.74 inference(unit_resolution,[status(thm)],[12064, 12049, 12045, 12009, 12002, 11998])).
% 4.84/3.74 tff(12066,plain,
% 4.84/3.74 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s148, c_t2)) | (~m_main_v_state2(s148, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s148, c_t2)) | (~m_main_v_state2(s148, c_c2)))),
% 4.84/3.74 inference(rewrite,[status(thm)],[])).
% 4.84/3.74 tff(12067,plain,
% 4.84/3.74 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s148, c_t2)) | (~m_main_v_state2(s148, c_c2)))),
% 4.84/3.74 inference(quant_inst,[status(thm)],[])).
% 4.84/3.74 tff(12068,plain,
% 4.84/3.74 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s148, c_t2)) | (~m_main_v_state2(s148, c_c2))),
% 4.84/3.74 inference(modus_ponens,[status(thm)],[12067, 12066])).
% 4.84/3.74 tff(12069,plain,
% 4.84/3.74 (~m_main_v_state2(s148, c_t2)),
% 4.84/3.74 inference(unit_resolution,[status(thm)],[12068, 260, 12065])).
% 4.84/3.74 tff(12070,plain,
% 4.84/3.74 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s148, c_t2) | (~node12(s148)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s148, c_t2) | (~node12(s148)))),
% 4.84/3.74 inference(rewrite,[status(thm)],[])).
% 4.84/3.74 tff(12071,plain,
% 4.84/3.74 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s148, c_t2) | (~node12(s148)))),
% 4.84/3.74 inference(quant_inst,[status(thm)],[])).
% 4.84/3.74 tff(12072,plain,
% 4.84/3.74 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s148, c_t2) | (~node12(s148))),
% 4.84/3.74 inference(modus_ponens,[status(thm)],[12071, 12070])).
% 4.84/3.74 tff(12073,plain,
% 4.84/3.74 (~node12(s148)),
% 4.84/3.74 inference(unit_resolution,[status(thm)],[12072, 633, 12069])).
% 4.84/3.74 tff(12074,plain,
% 4.84/3.74 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s147, s148)) | node7(s147, s148))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s147, s148)) | node7(s147, s148))),
% 4.84/3.74 inference(rewrite,[status(thm)],[])).
% 4.84/3.74 tff(12075,plain,
% 4.84/3.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s147, s148)) | node7(s147, s148))),
% 4.84/3.74 inference(quant_inst,[status(thm)],[])).
% 4.84/3.74 tff(12076,plain,
% 4.84/3.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s147, s148)) | node7(s147, s148)),
% 4.84/3.74 inference(modus_ponens,[status(thm)],[12075, 12074])).
% 4.84/3.74 tff(12077,plain,
% 4.84/3.74 (node7(s147, s148)),
% 4.84/3.74 inference(unit_resolution,[status(thm)],[12076, 206, 12056])).
% 4.84/3.74 tff(12078,plain,
% 4.84/3.74 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s147, c_n1)) | (~m_main_v_state2(s147, c_t2)) | (~node7(s147, s148)) | m_main_v_state1(s148, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s147, c_n1)) | (~m_main_v_state2(s147, c_t2)) | (~node7(s147, s148)) | m_main_v_state1(s148, c_t1))),
% 4.84/3.74 inference(rewrite,[status(thm)],[])).
% 4.84/3.74 tff(12079,plain,
% 4.84/3.74 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s147, c_n1)) | (~m_main_v_state2(s147, c_t2)) | (~node7(s147, s148)) | m_main_v_state1(s148, c_t1))),
% 4.84/3.74 inference(quant_inst,[status(thm)],[])).
% 4.84/3.74 tff(12080,plain,
% 4.84/3.74 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s147, c_n1)) | (~m_main_v_state2(s147, c_t2)) | (~node7(s147, s148)) | m_main_v_state1(s148, c_t1)),
% 4.84/3.74 inference(modus_ponens,[status(thm)],[12079, 12078])).
% 4.84/3.74 tff(12081,plain,
% 4.84/3.74 ((~m_main_v_state1(s147, c_n1)) | (~m_main_v_state2(s147, c_t2)) | m_main_v_state1(s148, c_t1)),
% 4.84/3.74 inference(unit_resolution,[status(thm)],[12080, 651, 12077])).
% 4.84/3.74 tff(12082,plain,
% 4.84/3.74 (m_main_v_state1(s148, c_t1)),
% 4.84/3.74 inference(unit_resolution,[status(thm)],[12081, 12009, 12045])).
% 4.84/3.74 tff(12083,plain,
% 4.84/3.74 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s148, c_n1)) | (~m_main_v_state1(s148, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s148, c_n1)) | (~m_main_v_state1(s148, c_t1)))),
% 4.84/3.74 inference(rewrite,[status(thm)],[])).
% 4.84/3.74 tff(12084,plain,
% 4.84/3.74 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s148, c_n1)) | (~m_main_v_state1(s148, c_t1)))),
% 4.84/3.74 inference(quant_inst,[status(thm)],[])).
% 4.84/3.74 tff(12085,plain,
% 4.84/3.74 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s148, c_n1)) | (~m_main_v_state1(s148, c_t1))),
% 4.84/3.74 inference(modus_ponens,[status(thm)],[12084, 12083])).
% 4.84/3.74 tff(12086,plain,
% 4.84/3.74 (~m_main_v_state1(s148, c_n1)),
% 4.84/3.74 inference(unit_resolution,[status(thm)],[12085, 10, 12082])).
% 4.84/3.74 tff(12087,plain,
% 4.84/3.74 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s148, c_n1) | (~node11(s148)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s148, c_n1) | (~node11(s148)))),
% 4.84/3.74 inference(rewrite,[status(thm)],[])).
% 4.84/3.74 tff(12088,plain,
% 4.84/3.74 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s148, c_n1) | (~node11(s148)))),
% 4.84/3.74 inference(quant_inst,[status(thm)],[])).
% 4.84/3.74 tff(12089,plain,
% 4.84/3.74 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s148, c_n1) | (~node11(s148))),
% 4.84/3.74 inference(modus_ponens,[status(thm)],[12088, 12087])).
% 4.84/3.74 tff(12090,plain,
% 4.84/3.74 (~node11(s148)),
% 4.84/3.74 inference(unit_resolution,[status(thm)],[12089, 238, 12086])).
% 4.84/3.74 tff(12091,plain,
% 4.84/3.74 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s148, c_t1)) | (~m_main_v_state1(s148, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s148, c_t1)) | (~m_main_v_state1(s148, c_c1)))),
% 4.84/3.74 inference(rewrite,[status(thm)],[])).
% 4.84/3.74 tff(12092,plain,
% 4.84/3.74 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s148, c_t1)) | (~m_main_v_state1(s148, c_c1)))),
% 4.84/3.74 inference(quant_inst,[status(thm)],[])).
% 4.84/3.74 tff(12093,plain,
% 4.84/3.74 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s148, c_t1)) | (~m_main_v_state1(s148, c_c1))),
% 4.84/3.74 inference(modus_ponens,[status(thm)],[12092, 12091])).
% 4.84/3.74 tff(12094,plain,
% 4.84/3.74 (~m_main_v_state1(s148, c_c1)),
% 4.84/3.74 inference(unit_resolution,[status(thm)],[12093, 539, 12082])).
% 4.84/3.74 tff(12095,plain,
% 4.84/3.74 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s148, c_c1) | (~node10(s148)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s148, c_c1) | (~node10(s148)))),
% 4.84/3.74 inference(rewrite,[status(thm)],[])).
% 4.84/3.74 tff(12096,plain,
% 4.84/3.74 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s148, c_c1) | (~node10(s148)))),
% 4.84/3.74 inference(quant_inst,[status(thm)],[])).
% 4.84/3.74 tff(12097,plain,
% 4.84/3.74 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s148, c_c1) | (~node10(s148))),
% 4.84/3.74 inference(modus_ponens,[status(thm)],[12096, 12095])).
% 4.84/3.74 tff(12098,plain,
% 4.84/3.74 (~node10(s148)),
% 4.84/3.74 inference(unit_resolution,[status(thm)],[12097, 675, 12094])).
% 4.84/3.74 tff(12099,plain,
% 4.84/3.74 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s148, c_n1) | (~node9(s148)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s148, c_n1) | (~node9(s148)))),
% 4.84/3.74 inference(rewrite,[status(thm)],[])).
% 4.84/3.74 tff(12100,plain,
% 4.84/3.74 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s148, c_n1) | (~node9(s148)))),
% 4.84/3.74 inference(quant_inst,[status(thm)],[])).
% 4.84/3.74 tff(12101,plain,
% 4.84/3.74 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s148, c_n1) | (~node9(s148))),
% 4.84/3.74 inference(modus_ponens,[status(thm)],[12100, 12099])).
% 4.84/3.74 tff(12102,plain,
% 4.84/3.74 (~node9(s148)),
% 4.84/3.74 inference(unit_resolution,[status(thm)],[12101, 686, 12086])).
% 4.84/3.74 tff(12103,plain,
% 4.84/3.74 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s148, c_n2)) | (~m_main_v_state2(s148, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s148, c_n2)) | (~m_main_v_state2(s148, c_c2)))),
% 4.84/3.74 inference(rewrite,[status(thm)],[])).
% 4.84/3.74 tff(12104,plain,
% 4.84/3.74 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s148, c_n2)) | (~m_main_v_state2(s148, c_c2)))),
% 4.84/3.74 inference(quant_inst,[status(thm)],[])).
% 4.84/3.74 tff(12105,plain,
% 4.84/3.74 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s148, c_n2)) | (~m_main_v_state2(s148, c_c2))),
% 4.84/3.74 inference(modus_ponens,[status(thm)],[12104, 12103])).
% 4.84/3.74 tff(12106,plain,
% 4.84/3.74 (~m_main_v_state2(s148, c_n2)),
% 4.84/3.74 inference(unit_resolution,[status(thm)],[12105, 697, 12065])).
% 4.84/3.74 tff(12107,plain,
% 4.84/3.74 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s148, c_n2) | (~node8(s148)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s148, c_n2) | (~node8(s148)))),
% 4.84/3.74 inference(rewrite,[status(thm)],[])).
% 4.84/3.74 tff(12108,plain,
% 4.84/3.74 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s148, c_n2) | (~node8(s148)))),
% 4.84/3.74 inference(quant_inst,[status(thm)],[])).
% 4.84/3.74 tff(12109,plain,
% 4.84/3.74 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s148, c_n2) | (~node8(s148))),
% 4.84/3.74 inference(modus_ponens,[status(thm)],[12108, 12107])).
% 4.84/3.74 tff(12110,plain,
% 4.84/3.74 (~node8(s148)),
% 4.84/3.74 inference(unit_resolution,[status(thm)],[12109, 271, 12106])).
% 4.84/3.74 tff(12111,plain,
% 4.84/3.74 (succ(s148, s149) <=> succ(s148, s149)),
% 4.84/3.74 inference(rewrite,[status(thm)],[])).
% 4.84/3.74 tff(12112,axiom,(succ(s148, s149)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound149')).
% 4.84/3.74 tff(12113,plain,
% 4.84/3.74 (succ(s148, s149)),
% 4.84/3.74 inference(modus_ponens,[status(thm)],[12112, 12111])).
% 4.84/3.74 tff(12114,plain,
% 4.84/3.74 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s148, s149)) | trans(s148, s149))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s148, s149)) | trans(s148, s149))),
% 4.84/3.74 inference(rewrite,[status(thm)],[])).
% 4.84/3.74 tff(12115,plain,
% 4.84/3.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s148, s149)) | trans(s148, s149))),
% 4.84/3.74 inference(quant_inst,[status(thm)],[])).
% 4.84/3.74 tff(12116,plain,
% 4.84/3.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s148, s149)) | trans(s148, s149)),
% 4.84/3.74 inference(modus_ponens,[status(thm)],[12115, 12114])).
% 4.84/3.74 tff(12117,plain,
% 4.84/3.74 (trans(s148, s149)),
% 4.84/3.74 inference(unit_resolution,[status(thm)],[12116, 12113, 32])).
% 4.84/3.74 tff(12118,plain,
% 4.84/3.74 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s148, s149)) | node14(s148, s149))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s148, s149)) | node14(s148, s149))),
% 4.84/3.74 inference(rewrite,[status(thm)],[])).
% 4.84/3.74 tff(12119,plain,
% 4.84/3.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s148, s149)) | node14(s148, s149))),
% 4.84/3.74 inference(quant_inst,[status(thm)],[])).
% 4.84/3.74 tff(12120,plain,
% 4.84/3.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s148, s149)) | node14(s148, s149)),
% 4.84/3.74 inference(modus_ponens,[status(thm)],[12119, 12118])).
% 4.84/3.74 tff(12121,plain,
% 4.84/3.74 (node14(s148, s149)),
% 4.84/3.74 inference(unit_resolution,[status(thm)],[12120, 46, 12117])).
% 4.84/3.74 tff(12122,plain,
% 4.84/3.74 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s149, c_n2) | node9(s148) | node8(s148) | node10(s148) | node11(s148) | node12(s148) | (~node14(s148, s149)) | (~m_main_v_state2(s148, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s149, c_n2) | node9(s148) | node8(s148) | node10(s148) | node11(s148) | node12(s148) | (~node14(s148, s149)) | (~m_main_v_state2(s148, c_c2)))),
% 4.84/3.74 inference(rewrite,[status(thm)],[])).
% 4.84/3.74 tff(12123,plain,
% 4.84/3.74 (((~m_main_v_state2(s148, c_c2)) | node9(s148) | node8(s148) | node10(s148) | node11(s148) | node12(s148) | (~node14(s148, s149)) | m_main_v_state2(s149, c_n2)) <=> (m_main_v_state2(s149, c_n2) | node9(s148) | node8(s148) | node10(s148) | node11(s148) | node12(s148) | (~node14(s148, s149)) | (~m_main_v_state2(s148, c_c2)))),
% 4.84/3.74 inference(rewrite,[status(thm)],[])).
% 4.84/3.74 tff(12124,plain,
% 4.84/3.74 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s148, c_c2)) | node9(s148) | node8(s148) | node10(s148) | node11(s148) | node12(s148) | (~node14(s148, s149)) | m_main_v_state2(s149, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s149, c_n2) | node9(s148) | node8(s148) | node10(s148) | node11(s148) | node12(s148) | (~node14(s148, s149)) | (~m_main_v_state2(s148, c_c2))))),
% 4.84/3.74 inference(monotonicity,[status(thm)],[12123])).
% 4.84/3.74 tff(12125,plain,
% 4.84/3.74 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s148, c_c2)) | node9(s148) | node8(s148) | node10(s148) | node11(s148) | node12(s148) | (~node14(s148, s149)) | m_main_v_state2(s149, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s149, c_n2) | node9(s148) | node8(s148) | node10(s148) | node11(s148) | node12(s148) | (~node14(s148, s149)) | (~m_main_v_state2(s148, c_c2)))),
% 4.84/3.74 inference(transitivity,[status(thm)],[12124, 12122])).
% 4.84/3.74 tff(12126,plain,
% 4.84/3.74 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s148, c_c2)) | node9(s148) | node8(s148) | node10(s148) | node11(s148) | node12(s148) | (~node14(s148, s149)) | m_main_v_state2(s149, c_n2))),
% 4.84/3.74 inference(quant_inst,[status(thm)],[])).
% 4.84/3.74 tff(12127,plain,
% 4.84/3.74 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s149, c_n2) | node9(s148) | node8(s148) | node10(s148) | node11(s148) | node12(s148) | (~node14(s148, s149)) | (~m_main_v_state2(s148, c_c2))),
% 4.84/3.74 inference(modus_ponens,[status(thm)],[12126, 12125])).
% 4.84/3.74 tff(12128,plain,
% 4.84/3.74 (m_main_v_state2(s149, c_n2) | node9(s148) | node8(s148) | node10(s148) | node11(s148) | node12(s148) | (~m_main_v_state2(s148, c_c2))),
% 4.84/3.74 inference(unit_resolution,[status(thm)],[12127, 726, 12121])).
% 4.84/3.74 tff(12129,plain,
% 4.84/3.74 (m_main_v_state2(s149, c_n2)),
% 4.84/3.74 inference(unit_resolution,[status(thm)],[12128, 12110, 12065, 12102, 12098, 12090, 12073])).
% 4.84/3.74 tff(12130,plain,
% 4.84/3.74 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s149, c_n2)) | (~m_main_v_state2(s149, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s149, c_n2)) | (~m_main_v_state2(s149, c_c2)))),
% 4.84/3.74 inference(rewrite,[status(thm)],[])).
% 4.84/3.74 tff(12131,plain,
% 4.84/3.74 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s149, c_n2)) | (~m_main_v_state2(s149, c_c2)))),
% 4.84/3.74 inference(quant_inst,[status(thm)],[])).
% 4.84/3.74 tff(12132,plain,
% 4.84/3.74 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s149, c_n2)) | (~m_main_v_state2(s149, c_c2))),
% 4.84/3.74 inference(modus_ponens,[status(thm)],[12131, 12130])).
% 4.84/3.74 tff(12133,plain,
% 4.84/3.74 (~m_main_v_state2(s149, c_c2)),
% 4.84/3.74 inference(unit_resolution,[status(thm)],[12132, 697, 12129])).
% 4.84/3.74 tff(12134,plain,
% 4.84/3.74 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s149, c_c2) | (~node3(s149)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s149, c_c2) | (~node3(s149)))),
% 4.84/3.74 inference(rewrite,[status(thm)],[])).
% 4.84/3.74 tff(12135,plain,
% 4.84/3.74 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s149, c_c2) | (~node3(s149)))),
% 4.84/3.74 inference(quant_inst,[status(thm)],[])).
% 4.84/3.74 tff(12136,plain,
% 4.84/3.74 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s149, c_c2) | (~node3(s149))),
% 4.84/3.74 inference(modus_ponens,[status(thm)],[12135, 12134])).
% 4.84/3.74 tff(12137,plain,
% 4.84/3.74 (~node3(s149)),
% 4.84/3.74 inference(unit_resolution,[status(thm)],[12136, 399, 12133])).
% 4.84/3.74 tff(12138,plain,
% 4.84/3.74 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s148, c_n1) | (~node1(s148)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s148, c_n1) | (~node1(s148)))),
% 4.84/3.74 inference(rewrite,[status(thm)],[])).
% 4.84/3.74 tff(12139,plain,
% 4.84/3.74 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s148, c_n1) | (~node1(s148)))),
% 4.84/3.74 inference(quant_inst,[status(thm)],[])).
% 4.84/3.74 tff(12140,plain,
% 4.84/3.74 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s148, c_n1) | (~node1(s148))),
% 4.84/3.74 inference(modus_ponens,[status(thm)],[12139, 12138])).
% 4.84/3.74 tff(12141,plain,
% 4.84/3.74 (~node1(s148)),
% 4.84/3.74 inference(unit_resolution,[status(thm)],[12140, 421, 12086])).
% 4.84/3.74 tff(12142,plain,
% 4.84/3.74 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s147, s148)) | node18(s147, s148))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s147, s148)) | node18(s147, s148))),
% 4.84/3.74 inference(rewrite,[status(thm)],[])).
% 4.84/3.74 tff(12143,plain,
% 4.84/3.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s147, s148)) | node18(s147, s148))),
% 4.84/3.74 inference(quant_inst,[status(thm)],[])).
% 4.84/3.74 tff(12144,plain,
% 4.84/3.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s147, s148)) | node18(s147, s148)),
% 4.84/3.74 inference(modus_ponens,[status(thm)],[12143, 12142])).
% 4.84/3.74 tff(12145,plain,
% 4.84/3.74 (node18(s147, s148)),
% 4.84/3.74 inference(unit_resolution,[status(thm)],[12144, 125, 12056])).
% 4.84/3.74 tff(12146,plain,
% 4.84/3.74 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s147, c_n1)) | (~m_main_v_state2(s147, c_t2)) | (~node18(s147, s148)) | m_main_v_turn(s148, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s147, c_n1)) | (~m_main_v_state2(s147, c_t2)) | (~node18(s147, s148)) | m_main_v_turn(s148, c_2))),
% 4.84/3.75 inference(rewrite,[status(thm)],[])).
% 4.84/3.75 tff(12147,plain,
% 4.84/3.75 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s147, c_n1)) | (~m_main_v_state2(s147, c_t2)) | (~node18(s147, s148)) | m_main_v_turn(s148, c_2))),
% 4.84/3.75 inference(quant_inst,[status(thm)],[])).
% 4.84/3.75 tff(12148,plain,
% 4.84/3.75 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s147, c_n1)) | (~m_main_v_state2(s147, c_t2)) | (~node18(s147, s148)) | m_main_v_turn(s148, c_2)),
% 4.84/3.75 inference(modus_ponens,[status(thm)],[12147, 12146])).
% 4.84/3.75 tff(12149,plain,
% 4.84/3.75 ((~m_main_v_state1(s147, c_n1)) | (~m_main_v_state2(s147, c_t2)) | m_main_v_turn(s148, c_2)),
% 4.84/3.75 inference(unit_resolution,[status(thm)],[12148, 760, 12145])).
% 4.84/3.75 tff(12150,plain,
% 4.84/3.75 (m_main_v_turn(s148, c_2)),
% 4.84/3.75 inference(unit_resolution,[status(thm)],[12149, 12009, 12045])).
% 4.84/3.75 tff(12151,plain,
% 4.84/3.75 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s148, c_1)) | (~m_main_v_turn(s148, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s148, c_1)) | (~m_main_v_turn(s148, c_2)))),
% 4.84/3.75 inference(rewrite,[status(thm)],[])).
% 4.84/3.75 tff(12152,plain,
% 4.84/3.75 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s148, c_1)) | (~m_main_v_turn(s148, c_2)))),
% 4.84/3.75 inference(quant_inst,[status(thm)],[])).
% 4.84/3.75 tff(12153,plain,
% 4.84/3.75 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s148, c_1)) | (~m_main_v_turn(s148, c_2))),
% 4.84/3.75 inference(modus_ponens,[status(thm)],[12152, 12151])).
% 4.84/3.75 tff(12154,plain,
% 4.84/3.75 (~m_main_v_turn(s148, c_1)),
% 4.84/3.75 inference(unit_resolution,[status(thm)],[12153, 156, 12150])).
% 4.84/3.75 tff(12155,plain,
% 4.84/3.75 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s148, c_1) | (~node5(s148)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s148, c_1) | (~node5(s148)))),
% 4.84/3.75 inference(rewrite,[status(thm)],[])).
% 4.84/3.75 tff(12156,plain,
% 4.84/3.75 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s148, c_1) | (~node5(s148)))),
% 4.84/3.75 inference(quant_inst,[status(thm)],[])).
% 4.84/3.75 tff(12157,plain,
% 4.84/3.75 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s148, c_1) | (~node5(s148))),
% 4.84/3.75 inference(modus_ponens,[status(thm)],[12156, 12155])).
% 4.84/3.75 tff(12158,plain,
% 4.84/3.75 (~node5(s148)),
% 4.84/3.75 inference(unit_resolution,[status(thm)],[12157, 776, 12154])).
% 4.84/3.75 tff(12159,plain,
% 4.84/3.75 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s148, c_n1) | (~node2(s148)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s148, c_n1) | (~node2(s148)))),
% 4.84/3.75 inference(rewrite,[status(thm)],[])).
% 4.84/3.75 tff(12160,plain,
% 4.84/3.75 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s148, c_n1) | (~node2(s148)))),
% 4.84/3.75 inference(quant_inst,[status(thm)],[])).
% 4.84/3.75 tff(12161,plain,
% 4.84/3.75 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s148, c_n1) | (~node2(s148))),
% 4.84/3.75 inference(modus_ponens,[status(thm)],[12160, 12159])).
% 4.84/3.75 tff(12162,plain,
% 4.84/3.75 (~node2(s148)),
% 4.84/3.75 inference(unit_resolution,[status(thm)],[12161, 787, 12086])).
% 4.84/3.75 tff(12163,plain,
% 4.84/3.75 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s148, c_n1) | (~node3(s148)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s148, c_n1) | (~node3(s148)))),
% 4.84/3.75 inference(rewrite,[status(thm)],[])).
% 4.84/3.75 tff(12164,plain,
% 4.84/3.75 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s148, c_n1) | (~node3(s148)))),
% 4.84/3.75 inference(quant_inst,[status(thm)],[])).
% 4.84/3.75 tff(12165,plain,
% 4.84/3.75 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s148, c_n1) | (~node3(s148))),
% 4.84/3.75 inference(modus_ponens,[status(thm)],[12164, 12163])).
% 4.84/3.75 tff(12166,plain,
% 4.84/3.75 (~node3(s148)),
% 4.84/3.75 inference(unit_resolution,[status(thm)],[12165, 798, 12086])).
% 4.84/3.75 tff(12167,plain,
% 4.84/3.75 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s148, c_n2) | (~node4(s148)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s148, c_n2) | (~node4(s148)))),
% 4.84/3.75 inference(rewrite,[status(thm)],[])).
% 4.84/3.75 tff(12168,plain,
% 4.84/3.75 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s148, c_n2) | (~node4(s148)))),
% 4.84/3.75 inference(quant_inst,[status(thm)],[])).
% 4.84/3.75 tff(12169,plain,
% 4.84/3.75 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s148, c_n2) | (~node4(s148))),
% 4.84/3.75 inference(modus_ponens,[status(thm)],[12168, 12167])).
% 4.84/3.75 tff(12170,plain,
% 4.84/3.75 (~node4(s148)),
% 4.84/3.75 inference(unit_resolution,[status(thm)],[12169, 388, 12106])).
% 4.84/3.75 tff(12171,plain,
% 4.84/3.75 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s148, s149)) | node7(s148, s149))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s148, s149)) | node7(s148, s149))),
% 4.84/3.75 inference(rewrite,[status(thm)],[])).
% 4.84/3.75 tff(12172,plain,
% 4.84/3.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s148, s149)) | node7(s148, s149))),
% 4.84/3.75 inference(quant_inst,[status(thm)],[])).
% 4.84/3.75 tff(12173,plain,
% 4.84/3.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s148, s149)) | node7(s148, s149)),
% 4.84/3.75 inference(modus_ponens,[status(thm)],[12172, 12171])).
% 4.84/3.75 tff(12174,plain,
% 4.84/3.75 (node7(s148, s149)),
% 4.84/3.75 inference(unit_resolution,[status(thm)],[12173, 206, 12117])).
% 4.84/3.75 tff(12175,plain,
% 4.84/3.75 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s148, c_c1) | node1(s148) | node2(s148) | node3(s148) | node4(s148) | node5(s148) | node6(s148, s149) | (~node7(s148, s149)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s148, c_c1) | node1(s148) | node2(s148) | node3(s148) | node4(s148) | node5(s148) | node6(s148, s149) | (~node7(s148, s149)))),
% 4.84/3.75 inference(rewrite,[status(thm)],[])).
% 4.84/3.75 tff(12176,plain,
% 4.84/3.75 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s148, c_c1) | node1(s148) | node2(s148) | node3(s148) | node4(s148) | node5(s148) | node6(s148, s149) | (~node7(s148, s149)))),
% 4.84/3.75 inference(quant_inst,[status(thm)],[])).
% 4.84/3.75 tff(12177,plain,
% 4.84/3.75 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s148, c_c1) | node1(s148) | node2(s148) | node3(s148) | node4(s148) | node5(s148) | node6(s148, s149) | (~node7(s148, s149))),
% 4.84/3.75 inference(modus_ponens,[status(thm)],[12176, 12175])).
% 4.84/3.75 tff(12178,plain,
% 4.84/3.75 (m_main_v_state1(s148, c_c1) | node1(s148) | node2(s148) | node3(s148) | node4(s148) | node5(s148) | node6(s148, s149)),
% 4.84/3.75 inference(unit_resolution,[status(thm)],[12177, 820, 12174])).
% 4.84/3.75 tff(12179,plain,
% 4.84/3.75 (node6(s148, s149)),
% 4.84/3.75 inference(unit_resolution,[status(thm)],[12178, 12170, 12094, 12166, 12162, 12158, 12141])).
% 4.84/3.75 tff(12180,plain,
% 4.84/3.75 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s148, c_n1) | (~m_main_v_state1(s149, c_n1)) | (~node6(s148, s149)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s148, c_n1) | (~m_main_v_state1(s149, c_n1)) | (~node6(s148, s149)))),
% 4.84/3.75 inference(rewrite,[status(thm)],[])).
% 4.84/3.75 tff(12181,plain,
% 4.84/3.75 (((~node6(s148, s149)) | m_main_v_state1(s148, c_n1) | (~m_main_v_state1(s149, c_n1))) <=> (m_main_v_state1(s148, c_n1) | (~m_main_v_state1(s149, c_n1)) | (~node6(s148, s149)))),
% 4.84/3.75 inference(rewrite,[status(thm)],[])).
% 4.84/3.75 tff(12182,plain,
% 4.84/3.75 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s148, s149)) | m_main_v_state1(s148, c_n1) | (~m_main_v_state1(s149, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s148, c_n1) | (~m_main_v_state1(s149, c_n1)) | (~node6(s148, s149))))),
% 4.84/3.75 inference(monotonicity,[status(thm)],[12181])).
% 4.84/3.75 tff(12183,plain,
% 4.84/3.75 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s148, s149)) | m_main_v_state1(s148, c_n1) | (~m_main_v_state1(s149, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s148, c_n1) | (~m_main_v_state1(s149, c_n1)) | (~node6(s148, s149)))),
% 4.84/3.75 inference(transitivity,[status(thm)],[12182, 12180])).
% 4.84/3.75 tff(12184,plain,
% 4.84/3.75 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s148, s149)) | m_main_v_state1(s148, c_n1) | (~m_main_v_state1(s149, c_n1)))),
% 4.84/3.75 inference(quant_inst,[status(thm)],[])).
% 4.84/3.75 tff(12185,plain,
% 4.84/3.75 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s148, c_n1) | (~m_main_v_state1(s149, c_n1)) | (~node6(s148, s149))),
% 4.84/3.75 inference(modus_ponens,[status(thm)],[12184, 12183])).
% 4.84/3.75 tff(12186,plain,
% 4.84/3.75 (~m_main_v_state1(s149, c_n1)),
% 4.84/3.75 inference(unit_resolution,[status(thm)],[12185, 835, 12086, 12179])).
% 4.84/3.75 tff(12187,plain,
% 4.84/3.75 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s149, c_n1) | (~node2(s149)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s149, c_n1) | (~node2(s149)))),
% 4.84/3.75 inference(rewrite,[status(thm)],[])).
% 4.84/3.75 tff(12188,plain,
% 4.84/3.75 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s149, c_n1) | (~node2(s149)))),
% 4.84/3.75 inference(quant_inst,[status(thm)],[])).
% 4.84/3.75 tff(12189,plain,
% 4.84/3.75 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s149, c_n1) | (~node2(s149))),
% 4.84/3.75 inference(modus_ponens,[status(thm)],[12188, 12187])).
% 4.84/3.75 tff(12190,plain,
% 4.84/3.75 (~node2(s149)),
% 4.84/3.75 inference(unit_resolution,[status(thm)],[12189, 787, 12186])).
% 4.84/3.75 tff(12191,plain,
% 4.84/3.75 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s148, c_t1)) | m_main_v_state1(s149, c_t1) | (~node6(s148, s149)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s148, c_t1)) | m_main_v_state1(s149, c_t1) | (~node6(s148, s149)))),
% 4.84/3.75 inference(rewrite,[status(thm)],[])).
% 4.84/3.75 tff(12192,plain,
% 4.84/3.75 (((~node6(s148, s149)) | (~m_main_v_state1(s148, c_t1)) | m_main_v_state1(s149, c_t1)) <=> ((~m_main_v_state1(s148, c_t1)) | m_main_v_state1(s149, c_t1) | (~node6(s148, s149)))),
% 4.84/3.75 inference(rewrite,[status(thm)],[])).
% 4.84/3.75 tff(12193,plain,
% 4.84/3.75 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s148, s149)) | (~m_main_v_state1(s148, c_t1)) | m_main_v_state1(s149, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s148, c_t1)) | m_main_v_state1(s149, c_t1) | (~node6(s148, s149))))),
% 4.84/3.75 inference(monotonicity,[status(thm)],[12192])).
% 4.84/3.75 tff(12194,plain,
% 4.84/3.75 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s148, s149)) | (~m_main_v_state1(s148, c_t1)) | m_main_v_state1(s149, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s148, c_t1)) | m_main_v_state1(s149, c_t1) | (~node6(s148, s149)))),
% 4.84/3.75 inference(transitivity,[status(thm)],[12193, 12191])).
% 4.84/3.75 tff(12195,plain,
% 4.84/3.75 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s148, s149)) | (~m_main_v_state1(s148, c_t1)) | m_main_v_state1(s149, c_t1))),
% 4.84/3.75 inference(quant_inst,[status(thm)],[])).
% 4.84/3.75 tff(12196,plain,
% 4.84/3.75 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s148, c_t1)) | m_main_v_state1(s149, c_t1) | (~node6(s148, s149))),
% 4.84/3.75 inference(modus_ponens,[status(thm)],[12195, 12194])).
% 4.84/3.75 tff(12197,plain,
% 4.84/3.75 (m_main_v_state1(s149, c_t1)),
% 4.84/3.75 inference(unit_resolution,[status(thm)],[12196, 856, 12082, 12179])).
% 4.84/3.75 tff(12198,plain,
% 4.84/3.75 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s149, c_n2)) | (~m_main_v_state2(s149, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s149, c_n2)) | (~m_main_v_state2(s149, c_t2)))),
% 4.84/3.75 inference(rewrite,[status(thm)],[])).
% 4.84/3.75 tff(12199,plain,
% 4.84/3.75 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s149, c_n2)) | (~m_main_v_state2(s149, c_t2)))),
% 4.84/3.75 inference(quant_inst,[status(thm)],[])).
% 4.84/3.75 tff(12200,plain,
% 4.84/3.75 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s149, c_n2)) | (~m_main_v_state2(s149, c_t2))),
% 4.84/3.75 inference(modus_ponens,[status(thm)],[12199, 12198])).
% 4.84/3.75 tff(12201,plain,
% 4.84/3.75 (~m_main_v_state2(s149, c_t2)),
% 4.84/3.75 inference(unit_resolution,[status(thm)],[12200, 77, 12129])).
% 4.84/3.75 tff(12202,plain,
% 4.84/3.75 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s149, c_t2) | (~node1(s149)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s149, c_t2) | (~node1(s149)))),
% 4.84/3.75 inference(rewrite,[status(thm)],[])).
% 4.84/3.75 tff(12203,plain,
% 4.84/3.75 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s149, c_t2) | (~node1(s149)))),
% 4.84/3.75 inference(quant_inst,[status(thm)],[])).
% 4.84/3.75 tff(12204,plain,
% 4.84/3.75 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s149, c_t2) | (~node1(s149))),
% 4.84/3.75 inference(modus_ponens,[status(thm)],[12203, 12202])).
% 4.84/3.75 tff(12205,plain,
% 4.84/3.75 (~node1(s149)),
% 4.84/3.75 inference(unit_resolution,[status(thm)],[12204, 195, 12201])).
% 4.84/3.75 tff(12206,plain,
% 4.84/3.75 (succ(s149, s150) <=> succ(s149, s150)),
% 4.84/3.75 inference(rewrite,[status(thm)],[])).
% 4.84/3.75 tff(12207,axiom,(succ(s149, s150)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound150')).
% 4.84/3.75 tff(12208,plain,
% 4.84/3.75 (succ(s149, s150)),
% 4.84/3.75 inference(modus_ponens,[status(thm)],[12207, 12206])).
% 4.84/3.75 tff(12209,plain,
% 4.84/3.75 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s149, s150)) | trans(s149, s150))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s149, s150)) | trans(s149, s150))),
% 4.84/3.75 inference(rewrite,[status(thm)],[])).
% 4.84/3.75 tff(12210,plain,
% 4.84/3.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s149, s150)) | trans(s149, s150))),
% 4.84/3.75 inference(quant_inst,[status(thm)],[])).
% 4.84/3.75 tff(12211,plain,
% 4.84/3.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s149, s150)) | trans(s149, s150)),
% 4.84/3.75 inference(modus_ponens,[status(thm)],[12210, 12209])).
% 4.84/3.75 tff(12212,plain,
% 4.84/3.75 (trans(s149, s150)),
% 4.84/3.75 inference(unit_resolution,[status(thm)],[12211, 12208, 32])).
% 4.84/3.75 tff(12213,plain,
% 4.84/3.75 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s149, s150)) | node7(s149, s150))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s149, s150)) | node7(s149, s150))),
% 4.84/3.75 inference(rewrite,[status(thm)],[])).
% 4.84/3.75 tff(12214,plain,
% 4.84/3.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s149, s150)) | node7(s149, s150))),
% 4.84/3.75 inference(quant_inst,[status(thm)],[])).
% 4.84/3.75 tff(12215,plain,
% 4.84/3.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s149, s150)) | node7(s149, s150)),
% 4.84/3.75 inference(modus_ponens,[status(thm)],[12214, 12213])).
% 4.84/3.75 tff(12216,plain,
% 4.84/3.75 (node7(s149, s150)),
% 4.84/3.75 inference(unit_resolution,[status(thm)],[12215, 206, 12212])).
% 4.84/3.75 tff(12217,plain,
% 4.84/3.75 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s149, c_t1)) | (~m_main_v_state2(s149, c_n2)) | m_main_v_state1(s150, c_c1) | node1(s149) | node2(s149) | node3(s149) | (~node7(s149, s150)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s149, c_t1)) | (~m_main_v_state2(s149, c_n2)) | m_main_v_state1(s150, c_c1) | node1(s149) | node2(s149) | node3(s149) | (~node7(s149, s150)))),
% 4.84/3.75 inference(rewrite,[status(thm)],[])).
% 4.84/3.75 tff(12218,plain,
% 4.84/3.75 (((~m_main_v_state1(s149, c_t1)) | (~m_main_v_state2(s149, c_n2)) | node1(s149) | node2(s149) | node3(s149) | (~node7(s149, s150)) | m_main_v_state1(s150, c_c1)) <=> ((~m_main_v_state1(s149, c_t1)) | (~m_main_v_state2(s149, c_n2)) | m_main_v_state1(s150, c_c1) | node1(s149) | node2(s149) | node3(s149) | (~node7(s149, s150)))),
% 4.84/3.75 inference(rewrite,[status(thm)],[])).
% 4.84/3.75 tff(12219,plain,
% 4.84/3.75 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s149, c_t1)) | (~m_main_v_state2(s149, c_n2)) | node1(s149) | node2(s149) | node3(s149) | (~node7(s149, s150)) | m_main_v_state1(s150, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s149, c_t1)) | (~m_main_v_state2(s149, c_n2)) | m_main_v_state1(s150, c_c1) | node1(s149) | node2(s149) | node3(s149) | (~node7(s149, s150))))),
% 4.84/3.75 inference(monotonicity,[status(thm)],[12218])).
% 4.84/3.75 tff(12220,plain,
% 4.84/3.75 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s149, c_t1)) | (~m_main_v_state2(s149, c_n2)) | node1(s149) | node2(s149) | node3(s149) | (~node7(s149, s150)) | m_main_v_state1(s150, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s149, c_t1)) | (~m_main_v_state2(s149, c_n2)) | m_main_v_state1(s150, c_c1) | node1(s149) | node2(s149) | node3(s149) | (~node7(s149, s150)))),
% 4.84/3.75 inference(transitivity,[status(thm)],[12219, 12217])).
% 4.84/3.75 tff(12221,plain,
% 4.84/3.75 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s149, c_t1)) | (~m_main_v_state2(s149, c_n2)) | node1(s149) | node2(s149) | node3(s149) | (~node7(s149, s150)) | m_main_v_state1(s150, c_c1))),
% 4.84/3.75 inference(quant_inst,[status(thm)],[])).
% 4.84/3.75 tff(12222,plain,
% 4.84/3.75 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s149, c_t1)) | (~m_main_v_state2(s149, c_n2)) | m_main_v_state1(s150, c_c1) | node1(s149) | node2(s149) | node3(s149) | (~node7(s149, s150))),
% 4.84/3.75 inference(modus_ponens,[status(thm)],[12221, 12220])).
% 4.84/3.75 tff(12223,plain,
% 4.84/3.75 ((~m_main_v_state1(s149, c_t1)) | (~m_main_v_state2(s149, c_n2)) | m_main_v_state1(s150, c_c1) | node1(s149) | node2(s149) | node3(s149)),
% 4.84/3.75 inference(unit_resolution,[status(thm)],[12222, 892, 12216])).
% 4.84/3.75 tff(12224,plain,
% 4.84/3.75 (m_main_v_state1(s150, c_c1)),
% 4.84/3.75 inference(unit_resolution,[status(thm)],[12223, 12205, 12129, 12197, 12190, 12137])).
% 4.84/3.75 tff(12225,plain,
% 4.84/3.75 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s150, c_t1)) | (~m_main_v_state1(s150, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s150, c_t1)) | (~m_main_v_state1(s150, c_c1)))),
% 4.84/3.75 inference(rewrite,[status(thm)],[])).
% 4.84/3.75 tff(12226,plain,
% 4.84/3.75 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s150, c_t1)) | (~m_main_v_state1(s150, c_c1)))),
% 4.84/3.75 inference(quant_inst,[status(thm)],[])).
% 4.84/3.75 tff(12227,plain,
% 4.84/3.75 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s150, c_t1)) | (~m_main_v_state1(s150, c_c1))),
% 4.84/3.75 inference(modus_ponens,[status(thm)],[12226, 12225])).
% 4.84/3.75 tff(12228,plain,
% 4.84/3.75 (~m_main_v_state1(s150, c_t1)),
% 4.84/3.75 inference(unit_resolution,[status(thm)],[12227, 539, 12224])).
% 4.84/3.75 tff(12229,plain,
% 4.84/3.75 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s150, c_t1) | (~node5(s150)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s150, c_t1) | (~node5(s150)))),
% 4.84/3.75 inference(rewrite,[status(thm)],[])).
% 4.84/3.75 tff(12230,plain,
% 4.84/3.75 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s150, c_t1) | (~node5(s150)))),
% 4.84/3.75 inference(quant_inst,[status(thm)],[])).
% 4.84/3.75 tff(12231,plain,
% 4.84/3.75 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s150, c_t1) | (~node5(s150))),
% 4.84/3.75 inference(modus_ponens,[status(thm)],[12230, 12229])).
% 4.84/3.75 tff(12232,plain,
% 4.84/3.75 (~node5(s150)),
% 4.84/3.75 inference(unit_resolution,[status(thm)],[12231, 550, 12228])).
% 4.84/3.75 tff(12233,plain,
% 4.84/3.75 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s149, s150)) | node14(s149, s150))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s149, s150)) | node14(s149, s150))),
% 4.84/3.75 inference(rewrite,[status(thm)],[])).
% 4.84/3.75 tff(12234,plain,
% 4.84/3.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s149, s150)) | node14(s149, s150))),
% 4.84/3.75 inference(quant_inst,[status(thm)],[])).
% 4.84/3.75 tff(12235,plain,
% 4.84/3.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s149, s150)) | node14(s149, s150)),
% 4.84/3.75 inference(modus_ponens,[status(thm)],[12234, 12233])).
% 4.84/3.75 tff(12236,plain,
% 4.84/3.75 (node14(s149, s150)),
% 4.84/3.75 inference(unit_resolution,[status(thm)],[12235, 46, 12212])).
% 4.84/3.75 tff(12237,plain,
% 4.84/3.75 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s149, c_t1)) | (~m_main_v_state2(s149, c_n2)) | (~node14(s149, s150)) | m_main_v_state2(s150, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s149, c_t1)) | (~m_main_v_state2(s149, c_n2)) | (~node14(s149, s150)) | m_main_v_state2(s150, c_t2))),
% 4.84/3.75 inference(rewrite,[status(thm)],[])).
% 4.84/3.75 tff(12238,plain,
% 4.84/3.75 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s149, c_t1)) | (~m_main_v_state2(s149, c_n2)) | (~node14(s149, s150)) | m_main_v_state2(s150, c_t2))),
% 4.84/3.75 inference(quant_inst,[status(thm)],[])).
% 4.84/3.75 tff(12239,plain,
% 4.84/3.75 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s149, c_t1)) | (~m_main_v_state2(s149, c_n2)) | (~node14(s149, s150)) | m_main_v_state2(s150, c_t2)),
% 4.84/3.75 inference(modus_ponens,[status(thm)],[12238, 12237])).
% 4.84/3.75 tff(12240,plain,
% 4.84/3.75 ((~m_main_v_state1(s149, c_t1)) | (~m_main_v_state2(s149, c_n2)) | m_main_v_state2(s150, c_t2)),
% 4.84/3.75 inference(unit_resolution,[status(thm)],[12239, 922, 12236])).
% 4.84/3.75 tff(12241,plain,
% 4.84/3.75 (m_main_v_state2(s150, c_t2)),
% 4.84/3.75 inference(unit_resolution,[status(thm)],[12240, 12197, 12129])).
% 4.84/3.75 tff(12242,plain,
% 4.84/3.75 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s150, c_n2)) | (~m_main_v_state2(s150, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s150, c_n2)) | (~m_main_v_state2(s150, c_t2)))),
% 4.84/3.75 inference(rewrite,[status(thm)],[])).
% 4.84/3.75 tff(12243,plain,
% 4.84/3.75 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s150, c_n2)) | (~m_main_v_state2(s150, c_t2)))),
% 4.84/3.75 inference(quant_inst,[status(thm)],[])).
% 4.84/3.75 tff(12244,plain,
% 4.84/3.75 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s150, c_n2)) | (~m_main_v_state2(s150, c_t2))),
% 4.84/3.75 inference(modus_ponens,[status(thm)],[12243, 12242])).
% 4.84/3.75 tff(12245,plain,
% 4.84/3.75 (~m_main_v_state2(s150, c_n2)),
% 4.84/3.75 inference(unit_resolution,[status(thm)],[12244, 77, 12241])).
% 4.84/3.75 tff(12246,plain,
% 4.84/3.75 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s150, c_n2) | (~node4(s150)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s150, c_n2) | (~node4(s150)))),
% 4.84/3.75 inference(rewrite,[status(thm)],[])).
% 4.84/3.75 tff(12247,plain,
% 4.84/3.75 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s150, c_n2) | (~node4(s150)))),
% 4.84/3.75 inference(quant_inst,[status(thm)],[])).
% 4.84/3.75 tff(12248,plain,
% 4.84/3.75 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s150, c_n2) | (~node4(s150))),
% 4.84/3.75 inference(modus_ponens,[status(thm)],[12247, 12246])).
% 4.84/3.75 tff(12249,plain,
% 4.84/3.75 (~node4(s150)),
% 4.84/3.75 inference(unit_resolution,[status(thm)],[12248, 388, 12245])).
% 4.84/3.75 tff(12250,plain,
% 4.84/3.75 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s150, c_t2)) | (~m_main_v_state2(s150, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s150, c_t2)) | (~m_main_v_state2(s150, c_c2)))),
% 4.84/3.75 inference(rewrite,[status(thm)],[])).
% 4.84/3.75 tff(12251,plain,
% 4.84/3.75 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s150, c_t2)) | (~m_main_v_state2(s150, c_c2)))),
% 4.84/3.75 inference(quant_inst,[status(thm)],[])).
% 4.84/3.75 tff(12252,plain,
% 4.84/3.75 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s150, c_t2)) | (~m_main_v_state2(s150, c_c2))),
% 4.84/3.75 inference(modus_ponens,[status(thm)],[12251, 12250])).
% 4.84/3.75 tff(12253,plain,
% 4.84/3.75 (~m_main_v_state2(s150, c_c2)),
% 4.84/3.75 inference(unit_resolution,[status(thm)],[12252, 260, 12241])).
% 4.84/3.75 tff(12254,plain,
% 4.84/3.75 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s150, c_c2) | (~node3(s150)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s150, c_c2) | (~node3(s150)))),
% 4.84/3.75 inference(rewrite,[status(thm)],[])).
% 4.84/3.75 tff(12255,plain,
% 4.84/3.75 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s150, c_c2) | (~node3(s150)))),
% 4.84/3.75 inference(quant_inst,[status(thm)],[])).
% 4.84/3.75 tff(12256,plain,
% 4.84/3.75 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s150, c_c2) | (~node3(s150))),
% 4.84/3.75 inference(modus_ponens,[status(thm)],[12255, 12254])).
% 4.84/3.75 tff(12257,plain,
% 4.84/3.75 (~node3(s150)),
% 4.84/3.75 inference(unit_resolution,[status(thm)],[12256, 399, 12253])).
% 4.84/3.75 tff(12258,plain,
% 4.84/3.75 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s150, c_n2) | (~node2(s150)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s150, c_n2) | (~node2(s150)))),
% 4.84/3.75 inference(rewrite,[status(thm)],[])).
% 4.84/3.75 tff(12259,plain,
% 4.84/3.75 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s150, c_n2) | (~node2(s150)))),
% 4.84/3.75 inference(quant_inst,[status(thm)],[])).
% 4.84/3.75 tff(12260,plain,
% 4.84/3.75 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s150, c_n2) | (~node2(s150))),
% 4.84/3.75 inference(modus_ponens,[status(thm)],[12259, 12258])).
% 4.84/3.75 tff(12261,plain,
% 4.84/3.75 (~node2(s150)),
% 4.84/3.75 inference(unit_resolution,[status(thm)],[12260, 410, 12245])).
% 4.84/3.75 tff(12262,plain,
% 4.84/3.75 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s150, c_n1)) | (~m_main_v_state1(s150, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s150, c_n1)) | (~m_main_v_state1(s150, c_c1)))),
% 4.84/3.75 inference(rewrite,[status(thm)],[])).
% 4.84/3.75 tff(12263,plain,
% 4.84/3.75 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s150, c_n1)) | (~m_main_v_state1(s150, c_c1)))),
% 4.84/3.75 inference(quant_inst,[status(thm)],[])).
% 4.84/3.75 tff(12264,plain,
% 4.84/3.75 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s150, c_n1)) | (~m_main_v_state1(s150, c_c1))),
% 4.84/3.75 inference(modus_ponens,[status(thm)],[12263, 12262])).
% 4.84/3.75 tff(12265,plain,
% 4.84/3.75 (~m_main_v_state1(s150, c_n1)),
% 4.84/3.75 inference(unit_resolution,[status(thm)],[12264, 454, 12224])).
% 4.84/3.75 tff(12266,plain,
% 4.84/3.76 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s150, c_n1) | (~node1(s150)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s150, c_n1) | (~node1(s150)))),
% 4.84/3.76 inference(rewrite,[status(thm)],[])).
% 4.84/3.76 tff(12267,plain,
% 4.84/3.76 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s150, c_n1) | (~node1(s150)))),
% 4.84/3.76 inference(quant_inst,[status(thm)],[])).
% 4.84/3.76 tff(12268,plain,
% 4.84/3.76 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s150, c_n1) | (~node1(s150))),
% 4.84/3.76 inference(modus_ponens,[status(thm)],[12267, 12266])).
% 4.84/3.76 tff(12269,plain,
% 4.84/3.76 (~node1(s150)),
% 4.84/3.76 inference(unit_resolution,[status(thm)],[12268, 421, 12265])).
% 4.84/3.76 tff(12270,plain,
% 4.84/3.76 (succ(s150, s151) <=> succ(s150, s151)),
% 4.84/3.76 inference(rewrite,[status(thm)],[])).
% 4.84/3.76 tff(12271,axiom,(succ(s150, s151)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound151')).
% 4.84/3.76 tff(12272,plain,
% 4.84/3.76 (succ(s150, s151)),
% 4.84/3.76 inference(modus_ponens,[status(thm)],[12271, 12270])).
% 4.84/3.76 tff(12273,plain,
% 4.84/3.76 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s150, s151)) | trans(s150, s151))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s150, s151)) | trans(s150, s151))),
% 4.84/3.76 inference(rewrite,[status(thm)],[])).
% 4.84/3.76 tff(12274,plain,
% 4.84/3.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s150, s151)) | trans(s150, s151))),
% 4.84/3.76 inference(quant_inst,[status(thm)],[])).
% 4.84/3.76 tff(12275,plain,
% 4.84/3.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s150, s151)) | trans(s150, s151)),
% 4.84/3.76 inference(modus_ponens,[status(thm)],[12274, 12273])).
% 4.84/3.76 tff(12276,plain,
% 4.84/3.76 (trans(s150, s151)),
% 4.84/3.76 inference(unit_resolution,[status(thm)],[12275, 12272, 32])).
% 4.84/3.76 tff(12277,plain,
% 4.84/3.76 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s150, s151)) | node7(s150, s151))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s150, s151)) | node7(s150, s151))),
% 4.84/3.76 inference(rewrite,[status(thm)],[])).
% 4.84/3.76 tff(12278,plain,
% 4.84/3.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s150, s151)) | node7(s150, s151))),
% 4.84/3.76 inference(quant_inst,[status(thm)],[])).
% 4.84/3.76 tff(12279,plain,
% 4.84/3.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s150, s151)) | node7(s150, s151)),
% 4.84/3.76 inference(modus_ponens,[status(thm)],[12278, 12277])).
% 4.84/3.76 tff(12280,plain,
% 4.84/3.76 (node7(s150, s151)),
% 4.84/3.76 inference(unit_resolution,[status(thm)],[12279, 206, 12276])).
% 4.84/3.76 tff(12281,plain,
% 4.84/3.76 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s151, c_n1) | (~m_main_v_state1(s150, c_c1)) | node1(s150) | node2(s150) | node3(s150) | node4(s150) | node5(s150) | (~node7(s150, s151)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s151, c_n1) | (~m_main_v_state1(s150, c_c1)) | node1(s150) | node2(s150) | node3(s150) | node4(s150) | node5(s150) | (~node7(s150, s151)))),
% 4.84/3.76 inference(rewrite,[status(thm)],[])).
% 4.84/3.76 tff(12282,plain,
% 4.84/3.76 (((~m_main_v_state1(s150, c_c1)) | node1(s150) | node2(s150) | node3(s150) | node4(s150) | node5(s150) | (~node7(s150, s151)) | m_main_v_state1(s151, c_n1)) <=> (m_main_v_state1(s151, c_n1) | (~m_main_v_state1(s150, c_c1)) | node1(s150) | node2(s150) | node3(s150) | node4(s150) | node5(s150) | (~node7(s150, s151)))),
% 4.84/3.76 inference(rewrite,[status(thm)],[])).
% 4.84/3.76 tff(12283,plain,
% 4.84/3.76 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s150, c_c1)) | node1(s150) | node2(s150) | node3(s150) | node4(s150) | node5(s150) | (~node7(s150, s151)) | m_main_v_state1(s151, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s151, c_n1) | (~m_main_v_state1(s150, c_c1)) | node1(s150) | node2(s150) | node3(s150) | node4(s150) | node5(s150) | (~node7(s150, s151))))),
% 4.84/3.76 inference(monotonicity,[status(thm)],[12282])).
% 4.84/3.76 tff(12284,plain,
% 4.84/3.76 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s150, c_c1)) | node1(s150) | node2(s150) | node3(s150) | node4(s150) | node5(s150) | (~node7(s150, s151)) | m_main_v_state1(s151, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s151, c_n1) | (~m_main_v_state1(s150, c_c1)) | node1(s150) | node2(s150) | node3(s150) | node4(s150) | node5(s150) | (~node7(s150, s151)))),
% 4.84/3.76 inference(transitivity,[status(thm)],[12283, 12281])).
% 4.84/3.76 tff(12285,plain,
% 4.84/3.76 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s150, c_c1)) | node1(s150) | node2(s150) | node3(s150) | node4(s150) | node5(s150) | (~node7(s150, s151)) | m_main_v_state1(s151, c_n1))),
% 4.84/3.76 inference(quant_inst,[status(thm)],[])).
% 4.84/3.76 tff(12286,plain,
% 4.84/3.76 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s151, c_n1) | (~m_main_v_state1(s150, c_c1)) | node1(s150) | node2(s150) | node3(s150) | node4(s150) | node5(s150) | (~node7(s150, s151))),
% 4.84/3.76 inference(modus_ponens,[status(thm)],[12285, 12284])).
% 4.84/3.76 tff(12287,plain,
% 4.84/3.76 (m_main_v_state1(s151, c_n1) | (~m_main_v_state1(s150, c_c1)) | node1(s150) | node2(s150) | node3(s150) | node4(s150) | node5(s150)),
% 4.84/3.76 inference(unit_resolution,[status(thm)],[12286, 584, 12280])).
% 4.84/3.76 tff(12288,plain,
% 4.84/3.76 (m_main_v_state1(s151, c_n1)),
% 4.84/3.76 inference(unit_resolution,[status(thm)],[12287, 12269, 12224, 12261, 12257, 12249, 12232])).
% 4.84/3.76 tff(12289,plain,
% 4.84/3.76 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s149, c_t2) | (~node15(s149)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s149, c_t2) | (~node15(s149)))),
% 4.84/3.76 inference(rewrite,[status(thm)],[])).
% 4.84/3.76 tff(12290,plain,
% 4.84/3.76 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s149, c_t2) | (~node15(s149)))),
% 4.84/3.76 inference(quant_inst,[status(thm)],[])).
% 4.84/3.76 tff(12291,plain,
% 4.84/3.76 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s149, c_t2) | (~node15(s149))),
% 4.84/3.76 inference(modus_ponens,[status(thm)],[12290, 12289])).
% 4.84/3.76 tff(12292,plain,
% 4.84/3.76 (~node15(s149)),
% 4.84/3.76 inference(unit_resolution,[status(thm)],[12291, 103, 12201])).
% 4.84/3.76 tff(12293,plain,
% 4.84/3.76 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s149, s150)) | node18(s149, s150))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s149, s150)) | node18(s149, s150))),
% 4.84/3.76 inference(rewrite,[status(thm)],[])).
% 4.84/3.76 tff(12294,plain,
% 4.84/3.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s149, s150)) | node18(s149, s150))),
% 4.84/3.76 inference(quant_inst,[status(thm)],[])).
% 4.84/3.76 tff(12295,plain,
% 4.84/3.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s149, s150)) | node18(s149, s150)),
% 4.84/3.76 inference(modus_ponens,[status(thm)],[12294, 12293])).
% 4.84/3.76 tff(12296,plain,
% 4.84/3.76 (node18(s149, s150)),
% 4.84/3.76 inference(unit_resolution,[status(thm)],[12295, 125, 12212])).
% 4.84/3.76 tff(12297,plain,
% 4.84/3.76 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s149) | (~node18(s149, s150)) | (~m_main_v_state1(s149, c_t1)) | (~m_main_v_state2(s149, c_n2)) | m_main_v_turn(s150, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s149) | (~node18(s149, s150)) | (~m_main_v_state1(s149, c_t1)) | (~m_main_v_state2(s149, c_n2)) | m_main_v_turn(s150, c_1))),
% 4.84/3.76 inference(rewrite,[status(thm)],[])).
% 4.84/3.76 tff(12298,plain,
% 4.92/3.76 (((~m_main_v_state1(s149, c_t1)) | (~m_main_v_state2(s149, c_n2)) | node15(s149) | (~node18(s149, s150)) | m_main_v_turn(s150, c_1)) <=> (node15(s149) | (~node18(s149, s150)) | (~m_main_v_state1(s149, c_t1)) | (~m_main_v_state2(s149, c_n2)) | m_main_v_turn(s150, c_1))),
% 4.92/3.76 inference(rewrite,[status(thm)],[])).
% 4.92/3.76 tff(12299,plain,
% 4.92/3.76 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s149, c_t1)) | (~m_main_v_state2(s149, c_n2)) | node15(s149) | (~node18(s149, s150)) | m_main_v_turn(s150, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s149) | (~node18(s149, s150)) | (~m_main_v_state1(s149, c_t1)) | (~m_main_v_state2(s149, c_n2)) | m_main_v_turn(s150, c_1)))),
% 4.92/3.76 inference(monotonicity,[status(thm)],[12298])).
% 4.92/3.76 tff(12300,plain,
% 4.92/3.76 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s149, c_t1)) | (~m_main_v_state2(s149, c_n2)) | node15(s149) | (~node18(s149, s150)) | m_main_v_turn(s150, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s149) | (~node18(s149, s150)) | (~m_main_v_state1(s149, c_t1)) | (~m_main_v_state2(s149, c_n2)) | m_main_v_turn(s150, c_1))),
% 4.92/3.76 inference(transitivity,[status(thm)],[12299, 12297])).
% 4.92/3.76 tff(12301,plain,
% 4.92/3.76 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s149, c_t1)) | (~m_main_v_state2(s149, c_n2)) | node15(s149) | (~node18(s149, s150)) | m_main_v_turn(s150, c_1))),
% 4.92/3.76 inference(quant_inst,[status(thm)],[])).
% 4.92/3.76 tff(12302,plain,
% 4.92/3.76 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s149) | (~node18(s149, s150)) | (~m_main_v_state1(s149, c_t1)) | (~m_main_v_state2(s149, c_n2)) | m_main_v_turn(s150, c_1)),
% 4.92/3.76 inference(modus_ponens,[status(thm)],[12301, 12300])).
% 4.92/3.76 tff(12303,plain,
% 4.92/3.76 (node15(s149) | (~m_main_v_state1(s149, c_t1)) | (~m_main_v_state2(s149, c_n2)) | m_main_v_turn(s150, c_1)),
% 4.92/3.76 inference(unit_resolution,[status(thm)],[12302, 992, 12296])).
% 4.92/3.76 tff(12304,plain,
% 4.92/3.76 (m_main_v_turn(s150, c_1)),
% 4.92/3.76 inference(unit_resolution,[status(thm)],[12303, 12292, 12129, 12197])).
% 4.92/3.76 tff(12305,plain,
% 4.92/3.76 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s150, c_1)) | (~m_main_v_turn(s150, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s150, c_1)) | (~m_main_v_turn(s150, c_2)))),
% 4.92/3.76 inference(rewrite,[status(thm)],[])).
% 4.92/3.76 tff(12306,plain,
% 4.92/3.76 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s150, c_1)) | (~m_main_v_turn(s150, c_2)))),
% 4.92/3.76 inference(quant_inst,[status(thm)],[])).
% 4.92/3.76 tff(12307,plain,
% 4.92/3.76 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s150, c_1)) | (~m_main_v_turn(s150, c_2))),
% 4.92/3.76 inference(modus_ponens,[status(thm)],[12306, 12305])).
% 4.92/3.76 tff(12308,plain,
% 4.92/3.76 (~m_main_v_turn(s150, c_2)),
% 4.92/3.76 inference(unit_resolution,[status(thm)],[12307, 156, 12304])).
% 4.92/3.76 tff(12309,plain,
% 4.92/3.76 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s150, c_2) | (~node12(s150)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s150, c_2) | (~node12(s150)))),
% 4.92/3.76 inference(rewrite,[status(thm)],[])).
% 4.92/3.76 tff(12310,plain,
% 4.92/3.76 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s150, c_2) | (~node12(s150)))),
% 4.92/3.76 inference(quant_inst,[status(thm)],[])).
% 4.92/3.76 tff(12311,plain,
% 4.92/3.76 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s150, c_2) | (~node12(s150))),
% 4.92/3.76 inference(modus_ponens,[status(thm)],[12310, 12309])).
% 4.92/3.76 tff(12312,plain,
% 4.92/3.76 (~node12(s150)),
% 4.92/3.76 inference(unit_resolution,[status(thm)],[12311, 184, 12308])).
% 4.92/3.76 tff(12313,plain,
% 4.92/3.76 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s150, c_n2) | (~node8(s150)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s150, c_n2) | (~node8(s150)))),
% 4.92/3.76 inference(rewrite,[status(thm)],[])).
% 4.92/3.76 tff(12314,plain,
% 4.92/3.76 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s150, c_n2) | (~node8(s150)))),
% 4.92/3.76 inference(quant_inst,[status(thm)],[])).
% 4.92/3.76 tff(12315,plain,
% 4.92/3.76 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s150, c_n2) | (~node8(s150))),
% 4.92/3.76 inference(modus_ponens,[status(thm)],[12314, 12313])).
% 4.92/3.76 tff(12316,plain,
% 4.92/3.76 (~node8(s150)),
% 4.92/3.76 inference(unit_resolution,[status(thm)],[12315, 271, 12245])).
% 4.92/3.76 tff(12317,plain,
% 4.92/3.76 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s150, c_n2) | (~node9(s150)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s150, c_n2) | (~node9(s150)))),
% 4.92/3.76 inference(rewrite,[status(thm)],[])).
% 4.92/3.76 tff(12318,plain,
% 4.92/3.76 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s150, c_n2) | (~node9(s150)))),
% 4.92/3.76 inference(quant_inst,[status(thm)],[])).
% 4.92/3.76 tff(12319,plain,
% 4.92/3.76 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s150, c_n2) | (~node9(s150))),
% 4.92/3.76 inference(modus_ponens,[status(thm)],[12318, 12317])).
% 4.92/3.76 tff(12320,plain,
% 4.92/3.76 (~node9(s150)),
% 4.92/3.76 inference(unit_resolution,[status(thm)],[12319, 88, 12245])).
% 4.92/3.76 tff(12321,plain,
% 4.92/3.76 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s150, c_n2) | (~node10(s150)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s150, c_n2) | (~node10(s150)))),
% 4.92/3.76 inference(rewrite,[status(thm)],[])).
% 4.92/3.76 tff(12322,plain,
% 4.92/3.76 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s150, c_n2) | (~node10(s150)))),
% 4.92/3.76 inference(quant_inst,[status(thm)],[])).
% 4.92/3.76 tff(12323,plain,
% 4.92/3.76 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s150, c_n2) | (~node10(s150))),
% 4.92/3.76 inference(modus_ponens,[status(thm)],[12322, 12321])).
% 4.92/3.76 tff(12324,plain,
% 4.92/3.76 (~node10(s150)),
% 4.92/3.76 inference(unit_resolution,[status(thm)],[12323, 249, 12245])).
% 4.92/3.76 tff(12325,plain,
% 4.92/3.76 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s150, c_n1) | (~node11(s150)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s150, c_n1) | (~node11(s150)))),
% 4.92/3.76 inference(rewrite,[status(thm)],[])).
% 4.92/3.76 tff(12326,plain,
% 4.92/3.76 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s150, c_n1) | (~node11(s150)))),
% 4.92/3.76 inference(quant_inst,[status(thm)],[])).
% 4.92/3.76 tff(12327,plain,
% 4.92/3.76 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s150, c_n1) | (~node11(s150))),
% 4.92/3.76 inference(modus_ponens,[status(thm)],[12326, 12325])).
% 4.92/3.76 tff(12328,plain,
% 4.92/3.76 (~node11(s150)),
% 4.92/3.76 inference(unit_resolution,[status(thm)],[12327, 238, 12265])).
% 4.92/3.76 tff(12329,plain,
% 4.92/3.76 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s150, s151)) | node14(s150, s151))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s150, s151)) | node14(s150, s151))),
% 4.92/3.76 inference(rewrite,[status(thm)],[])).
% 4.92/3.76 tff(12330,plain,
% 4.92/3.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s150, s151)) | node14(s150, s151))),
% 4.92/3.76 inference(quant_inst,[status(thm)],[])).
% 4.92/3.76 tff(12331,plain,
% 4.92/3.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s150, s151)) | node14(s150, s151)),
% 4.92/3.76 inference(modus_ponens,[status(thm)],[12330, 12329])).
% 4.92/3.76 tff(12332,plain,
% 4.92/3.76 (node14(s150, s151)),
% 4.92/3.76 inference(unit_resolution,[status(thm)],[12331, 46, 12276])).
% 4.92/3.76 tff(12333,plain,
% 4.92/3.76 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s150, c_c2) | node9(s150) | node8(s150) | node10(s150) | node11(s150) | node12(s150) | node13(s150, s151) | (~node14(s150, s151)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s150, c_c2) | node9(s150) | node8(s150) | node10(s150) | node11(s150) | node12(s150) | node13(s150, s151) | (~node14(s150, s151)))),
% 4.92/3.76 inference(rewrite,[status(thm)],[])).
% 4.92/3.76 tff(12334,plain,
% 4.92/3.76 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s150, c_c2) | node9(s150) | node8(s150) | node10(s150) | node11(s150) | node12(s150) | node13(s150, s151) | (~node14(s150, s151)))),
% 4.92/3.76 inference(quant_inst,[status(thm)],[])).
% 4.92/3.76 tff(12335,plain,
% 4.92/3.76 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s150, c_c2) | node9(s150) | node8(s150) | node10(s150) | node11(s150) | node12(s150) | node13(s150, s151) | (~node14(s150, s151))),
% 4.92/3.76 inference(modus_ponens,[status(thm)],[12334, 12333])).
% 4.92/3.76 tff(12336,plain,
% 4.92/3.76 (m_main_v_state2(s150, c_c2) | node9(s150) | node8(s150) | node10(s150) | node11(s150) | node12(s150) | node13(s150, s151)),
% 4.92/3.76 inference(unit_resolution,[status(thm)],[12335, 296, 12332])).
% 4.92/3.76 tff(12337,plain,
% 4.92/3.76 (node13(s150, s151)),
% 4.92/3.76 inference(unit_resolution,[status(thm)],[12336, 12328, 12253, 12324, 12320, 12316, 12312])).
% 4.92/3.76 tff(12338,plain,
% 4.92/3.76 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s150, c_t2)) | m_main_v_state2(s151, c_t2) | (~node13(s150, s151)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s150, c_t2)) | m_main_v_state2(s151, c_t2) | (~node13(s150, s151)))),
% 4.92/3.76 inference(rewrite,[status(thm)],[])).
% 4.92/3.76 tff(12339,plain,
% 4.92/3.76 (((~node13(s150, s151)) | (~m_main_v_state2(s150, c_t2)) | m_main_v_state2(s151, c_t2)) <=> ((~m_main_v_state2(s150, c_t2)) | m_main_v_state2(s151, c_t2) | (~node13(s150, s151)))),
% 4.92/3.76 inference(rewrite,[status(thm)],[])).
% 4.92/3.76 tff(12340,plain,
% 4.92/3.76 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s150, s151)) | (~m_main_v_state2(s150, c_t2)) | m_main_v_state2(s151, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s150, c_t2)) | m_main_v_state2(s151, c_t2) | (~node13(s150, s151))))),
% 4.92/3.76 inference(monotonicity,[status(thm)],[12339])).
% 4.92/3.76 tff(12341,plain,
% 4.92/3.76 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s150, s151)) | (~m_main_v_state2(s150, c_t2)) | m_main_v_state2(s151, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s150, c_t2)) | m_main_v_state2(s151, c_t2) | (~node13(s150, s151)))),
% 4.92/3.76 inference(transitivity,[status(thm)],[12340, 12338])).
% 4.92/3.76 tff(12342,plain,
% 4.92/3.76 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s150, s151)) | (~m_main_v_state2(s150, c_t2)) | m_main_v_state2(s151, c_t2))),
% 4.92/3.76 inference(quant_inst,[status(thm)],[])).
% 4.92/3.76 tff(12343,plain,
% 4.92/3.76 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s150, c_t2)) | m_main_v_state2(s151, c_t2) | (~node13(s150, s151))),
% 4.92/3.76 inference(modus_ponens,[status(thm)],[12342, 12341])).
% 4.92/3.76 tff(12344,plain,
% 4.92/3.76 (m_main_v_state2(s151, c_t2)),
% 4.92/3.76 inference(unit_resolution,[status(thm)],[12343, 518, 12241, 12337])).
% 4.92/3.76 tff(12345,plain,
% 4.92/3.76 (succ(s151, s152) <=> succ(s151, s152)),
% 4.92/3.76 inference(rewrite,[status(thm)],[])).
% 4.92/3.76 tff(12346,axiom,(succ(s151, s152)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound152')).
% 4.92/3.76 tff(12347,plain,
% 4.92/3.76 (succ(s151, s152)),
% 4.92/3.76 inference(modus_ponens,[status(thm)],[12346, 12345])).
% 4.92/3.76 tff(12348,plain,
% 4.92/3.76 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s151, s152)) | trans(s151, s152))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s151, s152)) | trans(s151, s152))),
% 4.92/3.76 inference(rewrite,[status(thm)],[])).
% 4.92/3.76 tff(12349,plain,
% 4.92/3.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s151, s152)) | trans(s151, s152))),
% 4.92/3.76 inference(quant_inst,[status(thm)],[])).
% 4.92/3.76 tff(12350,plain,
% 4.92/3.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s151, s152)) | trans(s151, s152)),
% 4.92/3.76 inference(modus_ponens,[status(thm)],[12349, 12348])).
% 4.92/3.76 tff(12351,plain,
% 4.92/3.76 (trans(s151, s152)),
% 4.92/3.76 inference(unit_resolution,[status(thm)],[12350, 12347, 32])).
% 4.92/3.76 tff(12352,plain,
% 4.92/3.76 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s151, s152)) | node7(s151, s152))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s151, s152)) | node7(s151, s152))),
% 4.92/3.76 inference(rewrite,[status(thm)],[])).
% 4.92/3.76 tff(12353,plain,
% 4.92/3.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s151, s152)) | node7(s151, s152))),
% 4.92/3.76 inference(quant_inst,[status(thm)],[])).
% 4.92/3.76 tff(12354,plain,
% 4.92/3.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s151, s152)) | node7(s151, s152)),
% 4.92/3.76 inference(modus_ponens,[status(thm)],[12353, 12352])).
% 4.92/3.76 tff(12355,plain,
% 4.92/3.76 (node7(s151, s152)),
% 4.92/3.76 inference(unit_resolution,[status(thm)],[12354, 206, 12351])).
% 4.92/3.76 tff(12356,plain,
% 4.92/3.76 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s151, c_n1)) | (~m_main_v_state2(s151, c_t2)) | (~node7(s151, s152)) | m_main_v_state1(s152, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s151, c_n1)) | (~m_main_v_state2(s151, c_t2)) | (~node7(s151, s152)) | m_main_v_state1(s152, c_t1))),
% 4.92/3.76 inference(rewrite,[status(thm)],[])).
% 4.92/3.76 tff(12357,plain,
% 4.92/3.76 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s151, c_n1)) | (~m_main_v_state2(s151, c_t2)) | (~node7(s151, s152)) | m_main_v_state1(s152, c_t1))),
% 4.92/3.76 inference(quant_inst,[status(thm)],[])).
% 4.92/3.76 tff(12358,plain,
% 4.92/3.76 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s151, c_n1)) | (~m_main_v_state2(s151, c_t2)) | (~node7(s151, s152)) | m_main_v_state1(s152, c_t1)),
% 4.92/3.76 inference(modus_ponens,[status(thm)],[12357, 12356])).
% 4.92/3.76 tff(12359,plain,
% 4.92/3.76 ((~m_main_v_state1(s151, c_n1)) | (~m_main_v_state2(s151, c_t2)) | m_main_v_state1(s152, c_t1)),
% 4.92/3.76 inference(unit_resolution,[status(thm)],[12358, 651, 12355])).
% 4.92/3.76 tff(12360,plain,
% 4.92/3.76 (m_main_v_state1(s152, c_t1)),
% 4.92/3.76 inference(unit_resolution,[status(thm)],[12359, 12344, 12288])).
% 4.92/3.76 tff(12361,plain,
% 4.92/3.76 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s152, c_n1)) | (~m_main_v_state1(s152, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s152, c_n1)) | (~m_main_v_state1(s152, c_t1)))),
% 4.92/3.76 inference(rewrite,[status(thm)],[])).
% 4.92/3.76 tff(12362,plain,
% 4.92/3.76 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s152, c_n1)) | (~m_main_v_state1(s152, c_t1)))),
% 4.92/3.76 inference(quant_inst,[status(thm)],[])).
% 4.92/3.76 tff(12363,plain,
% 4.92/3.76 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s152, c_n1)) | (~m_main_v_state1(s152, c_t1))),
% 4.92/3.76 inference(modus_ponens,[status(thm)],[12362, 12361])).
% 4.92/3.76 tff(12364,plain,
% 4.92/3.76 (~m_main_v_state1(s152, c_n1)),
% 4.92/3.76 inference(unit_resolution,[status(thm)],[12363, 10, 12360])).
% 4.92/3.76 tff(12365,plain,
% 4.92/3.76 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s152, c_n1) | (~node1(s152)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s152, c_n1) | (~node1(s152)))),
% 4.92/3.76 inference(rewrite,[status(thm)],[])).
% 4.92/3.76 tff(12366,plain,
% 4.92/3.76 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s152, c_n1) | (~node1(s152)))),
% 4.92/3.76 inference(quant_inst,[status(thm)],[])).
% 4.92/3.76 tff(12367,plain,
% 4.92/3.76 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s152, c_n1) | (~node1(s152))),
% 4.92/3.76 inference(modus_ponens,[status(thm)],[12366, 12365])).
% 4.92/3.76 tff(12368,plain,
% 4.92/3.76 (~node1(s152)),
% 4.92/3.76 inference(unit_resolution,[status(thm)],[12367, 421, 12364])).
% 4.92/3.76 tff(12369,plain,
% 4.92/3.76 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s151, s152)) | node18(s151, s152))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s151, s152)) | node18(s151, s152))),
% 4.92/3.76 inference(rewrite,[status(thm)],[])).
% 4.92/3.76 tff(12370,plain,
% 4.92/3.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s151, s152)) | node18(s151, s152))),
% 4.92/3.76 inference(quant_inst,[status(thm)],[])).
% 4.92/3.76 tff(12371,plain,
% 4.92/3.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s151, s152)) | node18(s151, s152)),
% 4.92/3.76 inference(modus_ponens,[status(thm)],[12370, 12369])).
% 4.92/3.76 tff(12372,plain,
% 4.92/3.76 (node18(s151, s152)),
% 4.92/3.76 inference(unit_resolution,[status(thm)],[12371, 125, 12351])).
% 4.92/3.76 tff(12373,plain,
% 4.92/3.76 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s151, c_n1)) | (~m_main_v_state2(s151, c_t2)) | (~node18(s151, s152)) | m_main_v_turn(s152, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s151, c_n1)) | (~m_main_v_state2(s151, c_t2)) | (~node18(s151, s152)) | m_main_v_turn(s152, c_2))),
% 4.92/3.76 inference(rewrite,[status(thm)],[])).
% 4.92/3.76 tff(12374,plain,
% 4.92/3.76 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s151, c_n1)) | (~m_main_v_state2(s151, c_t2)) | (~node18(s151, s152)) | m_main_v_turn(s152, c_2))),
% 4.92/3.76 inference(quant_inst,[status(thm)],[])).
% 4.92/3.76 tff(12375,plain,
% 4.92/3.76 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s151, c_n1)) | (~m_main_v_state2(s151, c_t2)) | (~node18(s151, s152)) | m_main_v_turn(s152, c_2)),
% 4.92/3.76 inference(modus_ponens,[status(thm)],[12374, 12373])).
% 4.92/3.76 tff(12376,plain,
% 4.92/3.76 ((~m_main_v_state1(s151, c_n1)) | (~m_main_v_state2(s151, c_t2)) | m_main_v_turn(s152, c_2)),
% 4.92/3.76 inference(unit_resolution,[status(thm)],[12375, 760, 12372])).
% 4.92/3.76 tff(12377,plain,
% 4.92/3.76 (m_main_v_turn(s152, c_2)),
% 4.92/3.76 inference(unit_resolution,[status(thm)],[12376, 12344, 12288])).
% 4.92/3.76 tff(12378,plain,
% 4.92/3.76 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s152, c_1)) | (~m_main_v_turn(s152, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s152, c_1)) | (~m_main_v_turn(s152, c_2)))),
% 4.92/3.76 inference(rewrite,[status(thm)],[])).
% 4.92/3.76 tff(12379,plain,
% 4.92/3.76 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s152, c_1)) | (~m_main_v_turn(s152, c_2)))),
% 4.92/3.76 inference(quant_inst,[status(thm)],[])).
% 4.92/3.76 tff(12380,plain,
% 4.92/3.76 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s152, c_1)) | (~m_main_v_turn(s152, c_2))),
% 4.92/3.76 inference(modus_ponens,[status(thm)],[12379, 12378])).
% 4.92/3.76 tff(12381,plain,
% 4.92/3.76 (~m_main_v_turn(s152, c_1)),
% 4.92/3.76 inference(unit_resolution,[status(thm)],[12380, 156, 12377])).
% 4.92/3.76 tff(12382,plain,
% 4.92/3.76 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s152, c_1) | (~node5(s152)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s152, c_1) | (~node5(s152)))),
% 4.92/3.76 inference(rewrite,[status(thm)],[])).
% 4.92/3.76 tff(12383,plain,
% 4.92/3.76 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s152, c_1) | (~node5(s152)))),
% 4.92/3.76 inference(quant_inst,[status(thm)],[])).
% 4.92/3.76 tff(12384,plain,
% 4.92/3.76 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s152, c_1) | (~node5(s152))),
% 4.92/3.76 inference(modus_ponens,[status(thm)],[12383, 12382])).
% 4.92/3.76 tff(12385,plain,
% 4.92/3.76 (~node5(s152)),
% 4.92/3.77 inference(unit_resolution,[status(thm)],[12384, 776, 12381])).
% 4.92/3.77 tff(12386,plain,
% 4.92/3.77 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s152, c_n1) | (~node2(s152)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s152, c_n1) | (~node2(s152)))),
% 4.92/3.77 inference(rewrite,[status(thm)],[])).
% 4.92/3.77 tff(12387,plain,
% 4.92/3.77 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s152, c_n1) | (~node2(s152)))),
% 4.92/3.77 inference(quant_inst,[status(thm)],[])).
% 4.92/3.77 tff(12388,plain,
% 4.92/3.77 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s152, c_n1) | (~node2(s152))),
% 4.92/3.77 inference(modus_ponens,[status(thm)],[12387, 12386])).
% 4.92/3.77 tff(12389,plain,
% 4.92/3.77 (~node2(s152)),
% 4.92/3.77 inference(unit_resolution,[status(thm)],[12388, 787, 12364])).
% 4.92/3.77 tff(12390,plain,
% 4.92/3.77 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s152, c_n1) | (~node3(s152)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s152, c_n1) | (~node3(s152)))),
% 4.92/3.77 inference(rewrite,[status(thm)],[])).
% 4.92/3.77 tff(12391,plain,
% 4.92/3.77 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s152, c_n1) | (~node3(s152)))),
% 4.92/3.77 inference(quant_inst,[status(thm)],[])).
% 4.92/3.77 tff(12392,plain,
% 4.92/3.77 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s152, c_n1) | (~node3(s152))),
% 4.92/3.77 inference(modus_ponens,[status(thm)],[12391, 12390])).
% 4.92/3.77 tff(12393,plain,
% 4.92/3.77 (~node3(s152)),
% 4.92/3.77 inference(unit_resolution,[status(thm)],[12392, 798, 12364])).
% 4.92/3.77 tff(12394,plain,
% 4.92/3.77 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s152, c_t1)) | (~m_main_v_state1(s152, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s152, c_t1)) | (~m_main_v_state1(s152, c_c1)))),
% 4.92/3.77 inference(rewrite,[status(thm)],[])).
% 4.92/3.77 tff(12395,plain,
% 4.92/3.77 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s152, c_t1)) | (~m_main_v_state1(s152, c_c1)))),
% 4.92/3.77 inference(quant_inst,[status(thm)],[])).
% 4.92/3.77 tff(12396,plain,
% 4.92/3.77 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s152, c_t1)) | (~m_main_v_state1(s152, c_c1))),
% 4.92/3.77 inference(modus_ponens,[status(thm)],[12395, 12394])).
% 4.92/3.77 tff(12397,plain,
% 4.92/3.77 (~m_main_v_state1(s152, c_c1)),
% 4.92/3.77 inference(unit_resolution,[status(thm)],[12396, 539, 12360])).
% 4.92/3.77 tff(12398,plain,
% 4.92/3.77 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s150, c_n2) | (~m_main_v_state2(s151, c_n2)) | (~node13(s150, s151)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s150, c_n2) | (~m_main_v_state2(s151, c_n2)) | (~node13(s150, s151)))),
% 4.92/3.77 inference(rewrite,[status(thm)],[])).
% 4.92/3.77 tff(12399,plain,
% 4.92/3.77 (((~node13(s150, s151)) | m_main_v_state2(s150, c_n2) | (~m_main_v_state2(s151, c_n2))) <=> (m_main_v_state2(s150, c_n2) | (~m_main_v_state2(s151, c_n2)) | (~node13(s150, s151)))),
% 4.92/3.77 inference(rewrite,[status(thm)],[])).
% 4.92/3.77 tff(12400,plain,
% 4.92/3.77 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s150, s151)) | m_main_v_state2(s150, c_n2) | (~m_main_v_state2(s151, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s150, c_n2) | (~m_main_v_state2(s151, c_n2)) | (~node13(s150, s151))))),
% 4.92/3.77 inference(monotonicity,[status(thm)],[12399])).
% 4.92/3.77 tff(12401,plain,
% 4.92/3.77 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s150, s151)) | m_main_v_state2(s150, c_n2) | (~m_main_v_state2(s151, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s150, c_n2) | (~m_main_v_state2(s151, c_n2)) | (~node13(s150, s151)))),
% 4.92/3.77 inference(transitivity,[status(thm)],[12400, 12398])).
% 4.92/3.77 tff(12402,plain,
% 4.92/3.77 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s150, s151)) | m_main_v_state2(s150, c_n2) | (~m_main_v_state2(s151, c_n2)))),
% 4.92/3.77 inference(quant_inst,[status(thm)],[])).
% 4.92/3.77 tff(12403,plain,
% 4.92/3.77 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s150, c_n2) | (~m_main_v_state2(s151, c_n2)) | (~node13(s150, s151))),
% 4.92/3.77 inference(modus_ponens,[status(thm)],[12402, 12401])).
% 4.92/3.77 tff(12404,plain,
% 4.92/3.77 (~m_main_v_state2(s151, c_n2)),
% 4.92/3.77 inference(unit_resolution,[status(thm)],[12403, 311, 12245, 12337])).
% 4.92/3.77 tff(12405,plain,
% 4.92/3.77 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s151, c_n2) | (~node9(s151)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s151, c_n2) | (~node9(s151)))),
% 4.92/3.77 inference(rewrite,[status(thm)],[])).
% 4.92/3.77 tff(12406,plain,
% 4.92/3.77 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s151, c_n2) | (~node9(s151)))),
% 4.92/3.77 inference(quant_inst,[status(thm)],[])).
% 4.92/3.77 tff(12407,plain,
% 4.92/3.77 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s151, c_n2) | (~node9(s151))),
% 4.92/3.77 inference(modus_ponens,[status(thm)],[12406, 12405])).
% 4.92/3.77 tff(12408,plain,
% 4.92/3.77 (~node9(s151)),
% 4.92/3.77 inference(unit_resolution,[status(thm)],[12407, 88, 12404])).
% 4.92/3.77 tff(12409,plain,
% 4.92/3.77 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s151, c_n2) | (~node10(s151)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s151, c_n2) | (~node10(s151)))),
% 4.92/3.77 inference(rewrite,[status(thm)],[])).
% 4.92/3.77 tff(12410,plain,
% 4.92/3.77 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s151, c_n2) | (~node10(s151)))),
% 4.92/3.77 inference(quant_inst,[status(thm)],[])).
% 4.92/3.77 tff(12411,plain,
% 4.92/3.77 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s151, c_n2) | (~node10(s151))),
% 4.92/3.77 inference(modus_ponens,[status(thm)],[12410, 12409])).
% 4.92/3.77 tff(12412,plain,
% 4.92/3.77 (~node10(s151)),
% 4.92/3.77 inference(unit_resolution,[status(thm)],[12411, 249, 12404])).
% 4.92/3.77 tff(12413,plain,
% 4.92/3.77 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s151, c_n2) | (~node8(s151)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s151, c_n2) | (~node8(s151)))),
% 4.92/3.77 inference(rewrite,[status(thm)],[])).
% 4.92/3.77 tff(12414,plain,
% 4.92/3.77 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s151, c_n2) | (~node8(s151)))),
% 4.92/3.77 inference(quant_inst,[status(thm)],[])).
% 4.92/3.77 tff(12415,plain,
% 4.92/3.77 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s151, c_n2) | (~node8(s151))),
% 4.92/3.77 inference(modus_ponens,[status(thm)],[12414, 12413])).
% 4.92/3.77 tff(12416,plain,
% 4.92/3.77 (~node8(s151)),
% 4.92/3.77 inference(unit_resolution,[status(thm)],[12415, 271, 12404])).
% 4.92/3.77 tff(12417,plain,
% 4.92/3.77 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s151, s152)) | node14(s151, s152))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s151, s152)) | node14(s151, s152))),
% 4.92/3.77 inference(rewrite,[status(thm)],[])).
% 4.92/3.77 tff(12418,plain,
% 4.92/3.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s151, s152)) | node14(s151, s152))),
% 4.92/3.77 inference(quant_inst,[status(thm)],[])).
% 4.92/3.77 tff(12419,plain,
% 4.92/3.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s151, s152)) | node14(s151, s152)),
% 4.92/3.77 inference(modus_ponens,[status(thm)],[12418, 12417])).
% 4.92/3.77 tff(12420,plain,
% 4.92/3.77 (node14(s151, s152)),
% 4.92/3.77 inference(unit_resolution,[status(thm)],[12419, 46, 12351])).
% 4.92/3.77 tff(12421,plain,
% 4.92/3.77 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s151, c_n1)) | (~m_main_v_state2(s151, c_t2)) | node9(s151) | node8(s151) | node10(s151) | (~node14(s151, s152)) | m_main_v_state2(s152, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s151, c_n1)) | (~m_main_v_state2(s151, c_t2)) | node9(s151) | node8(s151) | node10(s151) | (~node14(s151, s152)) | m_main_v_state2(s152, c_c2))),
% 4.92/3.77 inference(rewrite,[status(thm)],[])).
% 4.92/3.77 tff(12422,plain,
% 4.92/3.77 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s151, c_n1)) | (~m_main_v_state2(s151, c_t2)) | node9(s151) | node8(s151) | node10(s151) | (~node14(s151, s152)) | m_main_v_state2(s152, c_c2))),
% 4.92/3.77 inference(quant_inst,[status(thm)],[])).
% 4.92/3.77 tff(12423,plain,
% 4.92/3.77 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s151, c_n1)) | (~m_main_v_state2(s151, c_t2)) | node9(s151) | node8(s151) | node10(s151) | (~node14(s151, s152)) | m_main_v_state2(s152, c_c2)),
% 4.92/3.77 inference(modus_ponens,[status(thm)],[12422, 12421])).
% 4.92/3.77 tff(12424,plain,
% 4.92/3.77 ((~m_main_v_state1(s151, c_n1)) | (~m_main_v_state2(s151, c_t2)) | node9(s151) | node8(s151) | node10(s151) | m_main_v_state2(s152, c_c2)),
% 4.92/3.77 inference(unit_resolution,[status(thm)],[12423, 617, 12420])).
% 4.92/3.77 tff(12425,plain,
% 4.92/3.77 (m_main_v_state2(s152, c_c2)),
% 4.92/3.77 inference(unit_resolution,[status(thm)],[12424, 12416, 12288, 12344, 12412, 12408])).
% 4.92/3.77 tff(12426,plain,
% 4.92/3.77 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s152, c_n2)) | (~m_main_v_state2(s152, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s152, c_n2)) | (~m_main_v_state2(s152, c_c2)))),
% 4.92/3.77 inference(rewrite,[status(thm)],[])).
% 4.92/3.77 tff(12427,plain,
% 4.92/3.77 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s152, c_n2)) | (~m_main_v_state2(s152, c_c2)))),
% 4.92/3.77 inference(quant_inst,[status(thm)],[])).
% 4.92/3.77 tff(12428,plain,
% 4.92/3.77 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s152, c_n2)) | (~m_main_v_state2(s152, c_c2))),
% 4.92/3.77 inference(modus_ponens,[status(thm)],[12427, 12426])).
% 4.92/3.77 tff(12429,plain,
% 4.92/3.77 (~m_main_v_state2(s152, c_n2)),
% 4.92/3.77 inference(unit_resolution,[status(thm)],[12428, 697, 12425])).
% 4.92/3.77 tff(12430,plain,
% 4.92/3.77 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s152, c_n2) | (~node4(s152)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s152, c_n2) | (~node4(s152)))),
% 4.92/3.77 inference(rewrite,[status(thm)],[])).
% 4.92/3.77 tff(12431,plain,
% 4.92/3.77 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s152, c_n2) | (~node4(s152)))),
% 4.92/3.77 inference(quant_inst,[status(thm)],[])).
% 4.92/3.77 tff(12432,plain,
% 4.92/3.77 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s152, c_n2) | (~node4(s152))),
% 4.92/3.77 inference(modus_ponens,[status(thm)],[12431, 12430])).
% 4.92/3.77 tff(12433,plain,
% 4.92/3.77 (~node4(s152)),
% 4.92/3.77 inference(unit_resolution,[status(thm)],[12432, 388, 12429])).
% 4.92/3.77 tff(12434,plain,
% 4.92/3.77 (succ(s152, s153) <=> succ(s152, s153)),
% 4.92/3.77 inference(rewrite,[status(thm)],[])).
% 4.92/3.77 tff(12435,axiom,(succ(s152, s153)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound153')).
% 4.92/3.77 tff(12436,plain,
% 4.92/3.77 (succ(s152, s153)),
% 4.92/3.77 inference(modus_ponens,[status(thm)],[12435, 12434])).
% 4.92/3.77 tff(12437,plain,
% 4.92/3.77 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s152, s153)) | trans(s152, s153))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s152, s153)) | trans(s152, s153))),
% 4.92/3.77 inference(rewrite,[status(thm)],[])).
% 4.92/3.77 tff(12438,plain,
% 4.92/3.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s152, s153)) | trans(s152, s153))),
% 4.92/3.77 inference(quant_inst,[status(thm)],[])).
% 4.92/3.77 tff(12439,plain,
% 4.92/3.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s152, s153)) | trans(s152, s153)),
% 4.92/3.77 inference(modus_ponens,[status(thm)],[12438, 12437])).
% 4.92/3.77 tff(12440,plain,
% 4.92/3.77 (trans(s152, s153)),
% 4.92/3.77 inference(unit_resolution,[status(thm)],[12439, 12436, 32])).
% 4.92/3.77 tff(12441,plain,
% 4.92/3.77 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s152, s153)) | node7(s152, s153))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s152, s153)) | node7(s152, s153))),
% 4.92/3.77 inference(rewrite,[status(thm)],[])).
% 4.92/3.77 tff(12442,plain,
% 4.92/3.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s152, s153)) | node7(s152, s153))),
% 4.92/3.77 inference(quant_inst,[status(thm)],[])).
% 4.92/3.77 tff(12443,plain,
% 4.92/3.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s152, s153)) | node7(s152, s153)),
% 4.92/3.77 inference(modus_ponens,[status(thm)],[12442, 12441])).
% 4.92/3.77 tff(12444,plain,
% 4.92/3.77 (node7(s152, s153)),
% 4.92/3.77 inference(unit_resolution,[status(thm)],[12443, 206, 12440])).
% 4.92/3.77 tff(12445,plain,
% 4.92/3.77 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s152, c_c1) | node1(s152) | node2(s152) | node3(s152) | node4(s152) | node5(s152) | node6(s152, s153) | (~node7(s152, s153)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s152, c_c1) | node1(s152) | node2(s152) | node3(s152) | node4(s152) | node5(s152) | node6(s152, s153) | (~node7(s152, s153)))),
% 4.92/3.77 inference(rewrite,[status(thm)],[])).
% 4.92/3.77 tff(12446,plain,
% 4.92/3.77 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s152, c_c1) | node1(s152) | node2(s152) | node3(s152) | node4(s152) | node5(s152) | node6(s152, s153) | (~node7(s152, s153)))),
% 4.92/3.77 inference(quant_inst,[status(thm)],[])).
% 4.92/3.77 tff(12447,plain,
% 4.92/3.77 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s152, c_c1) | node1(s152) | node2(s152) | node3(s152) | node4(s152) | node5(s152) | node6(s152, s153) | (~node7(s152, s153))),
% 4.92/3.77 inference(modus_ponens,[status(thm)],[12446, 12445])).
% 4.92/3.77 tff(12448,plain,
% 4.92/3.77 (m_main_v_state1(s152, c_c1) | node1(s152) | node2(s152) | node3(s152) | node4(s152) | node5(s152) | node6(s152, s153)),
% 4.92/3.77 inference(unit_resolution,[status(thm)],[12447, 820, 12444])).
% 4.92/3.77 tff(12449,plain,
% 4.92/3.77 (node6(s152, s153)),
% 4.92/3.77 inference(unit_resolution,[status(thm)],[12448, 12433, 12397, 12393, 12389, 12385, 12368])).
% 4.92/3.77 tff(12450,plain,
% 4.92/3.77 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s152, c_t1)) | m_main_v_state1(s153, c_t1) | (~node6(s152, s153)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s152, c_t1)) | m_main_v_state1(s153, c_t1) | (~node6(s152, s153)))),
% 4.92/3.77 inference(rewrite,[status(thm)],[])).
% 4.92/3.77 tff(12451,plain,
% 4.92/3.77 (((~node6(s152, s153)) | (~m_main_v_state1(s152, c_t1)) | m_main_v_state1(s153, c_t1)) <=> ((~m_main_v_state1(s152, c_t1)) | m_main_v_state1(s153, c_t1) | (~node6(s152, s153)))),
% 4.92/3.77 inference(rewrite,[status(thm)],[])).
% 4.92/3.77 tff(12452,plain,
% 4.92/3.77 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s152, s153)) | (~m_main_v_state1(s152, c_t1)) | m_main_v_state1(s153, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s152, c_t1)) | m_main_v_state1(s153, c_t1) | (~node6(s152, s153))))),
% 4.92/3.77 inference(monotonicity,[status(thm)],[12451])).
% 4.92/3.77 tff(12453,plain,
% 4.92/3.77 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s152, s153)) | (~m_main_v_state1(s152, c_t1)) | m_main_v_state1(s153, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s152, c_t1)) | m_main_v_state1(s153, c_t1) | (~node6(s152, s153)))),
% 4.92/3.77 inference(transitivity,[status(thm)],[12452, 12450])).
% 4.92/3.77 tff(12454,plain,
% 4.92/3.77 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s152, s153)) | (~m_main_v_state1(s152, c_t1)) | m_main_v_state1(s153, c_t1))),
% 4.92/3.77 inference(quant_inst,[status(thm)],[])).
% 4.92/3.77 tff(12455,plain,
% 4.92/3.77 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s152, c_t1)) | m_main_v_state1(s153, c_t1) | (~node6(s152, s153))),
% 4.92/3.77 inference(modus_ponens,[status(thm)],[12454, 12453])).
% 4.92/3.77 tff(12456,plain,
% 4.92/3.77 (m_main_v_state1(s153, c_t1)),
% 4.92/3.77 inference(unit_resolution,[status(thm)],[12455, 856, 12360, 12449])).
% 4.92/3.77 tff(12457,plain,
% 4.92/3.77 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s152, c_t2)) | (~m_main_v_state2(s152, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s152, c_t2)) | (~m_main_v_state2(s152, c_c2)))),
% 4.92/3.77 inference(rewrite,[status(thm)],[])).
% 4.92/3.77 tff(12458,plain,
% 4.92/3.77 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s152, c_t2)) | (~m_main_v_state2(s152, c_c2)))),
% 4.92/3.77 inference(quant_inst,[status(thm)],[])).
% 4.92/3.77 tff(12459,plain,
% 4.92/3.77 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s152, c_t2)) | (~m_main_v_state2(s152, c_c2))),
% 4.92/3.77 inference(modus_ponens,[status(thm)],[12458, 12457])).
% 4.92/3.77 tff(12460,plain,
% 4.92/3.77 (~m_main_v_state2(s152, c_t2)),
% 4.92/3.77 inference(unit_resolution,[status(thm)],[12459, 260, 12425])).
% 4.92/3.77 tff(12461,plain,
% 4.92/3.77 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s152, c_t2) | (~node12(s152)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s152, c_t2) | (~node12(s152)))),
% 4.92/3.77 inference(rewrite,[status(thm)],[])).
% 4.92/3.77 tff(12462,plain,
% 4.92/3.77 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s152, c_t2) | (~node12(s152)))),
% 4.92/3.77 inference(quant_inst,[status(thm)],[])).
% 4.92/3.77 tff(12463,plain,
% 4.92/3.77 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s152, c_t2) | (~node12(s152))),
% 4.92/3.77 inference(modus_ponens,[status(thm)],[12462, 12461])).
% 4.92/3.77 tff(12464,plain,
% 4.92/3.77 (~node12(s152)),
% 4.92/3.77 inference(unit_resolution,[status(thm)],[12463, 633, 12460])).
% 4.92/3.77 tff(12465,plain,
% 4.92/3.77 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s152, c_n1) | (~node11(s152)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s152, c_n1) | (~node11(s152)))),
% 4.92/3.77 inference(rewrite,[status(thm)],[])).
% 4.92/3.77 tff(12466,plain,
% 4.92/3.77 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s152, c_n1) | (~node11(s152)))),
% 4.92/3.77 inference(quant_inst,[status(thm)],[])).
% 4.92/3.77 tff(12467,plain,
% 4.92/3.77 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s152, c_n1) | (~node11(s152))),
% 4.92/3.77 inference(modus_ponens,[status(thm)],[12466, 12465])).
% 4.92/3.77 tff(12468,plain,
% 4.92/3.77 (~node11(s152)),
% 4.92/3.77 inference(unit_resolution,[status(thm)],[12467, 238, 12364])).
% 4.92/3.77 tff(12469,plain,
% 4.92/3.77 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s152, c_c1) | (~node10(s152)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s152, c_c1) | (~node10(s152)))),
% 4.92/3.77 inference(rewrite,[status(thm)],[])).
% 4.92/3.77 tff(12470,plain,
% 4.92/3.77 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s152, c_c1) | (~node10(s152)))),
% 4.92/3.77 inference(quant_inst,[status(thm)],[])).
% 4.92/3.77 tff(12471,plain,
% 4.92/3.77 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s152, c_c1) | (~node10(s152))),
% 4.92/3.77 inference(modus_ponens,[status(thm)],[12470, 12469])).
% 4.92/3.77 tff(12472,plain,
% 4.92/3.77 (~node10(s152)),
% 4.92/3.77 inference(unit_resolution,[status(thm)],[12471, 675, 12397])).
% 4.92/3.77 tff(12473,plain,
% 4.92/3.77 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s152, c_n1) | (~node9(s152)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s152, c_n1) | (~node9(s152)))),
% 4.92/3.77 inference(rewrite,[status(thm)],[])).
% 4.92/3.77 tff(12474,plain,
% 4.92/3.77 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s152, c_n1) | (~node9(s152)))),
% 4.92/3.77 inference(quant_inst,[status(thm)],[])).
% 4.92/3.77 tff(12475,plain,
% 4.92/3.77 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s152, c_n1) | (~node9(s152))),
% 4.92/3.77 inference(modus_ponens,[status(thm)],[12474, 12473])).
% 4.92/3.77 tff(12476,plain,
% 4.92/3.77 (~node9(s152)),
% 4.92/3.77 inference(unit_resolution,[status(thm)],[12475, 686, 12364])).
% 4.92/3.77 tff(12477,plain,
% 4.92/3.77 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s152, c_n2) | (~node8(s152)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s152, c_n2) | (~node8(s152)))),
% 4.92/3.77 inference(rewrite,[status(thm)],[])).
% 4.92/3.77 tff(12478,plain,
% 4.92/3.77 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s152, c_n2) | (~node8(s152)))),
% 4.92/3.77 inference(quant_inst,[status(thm)],[])).
% 4.92/3.77 tff(12479,plain,
% 4.92/3.77 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s152, c_n2) | (~node8(s152))),
% 4.92/3.77 inference(modus_ponens,[status(thm)],[12478, 12477])).
% 4.92/3.77 tff(12480,plain,
% 4.92/3.77 (~node8(s152)),
% 4.92/3.77 inference(unit_resolution,[status(thm)],[12479, 271, 12429])).
% 4.92/3.77 tff(12481,plain,
% 4.92/3.77 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s152, s153)) | node14(s152, s153))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s152, s153)) | node14(s152, s153))),
% 4.92/3.77 inference(rewrite,[status(thm)],[])).
% 4.92/3.77 tff(12482,plain,
% 4.92/3.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s152, s153)) | node14(s152, s153))),
% 4.92/3.77 inference(quant_inst,[status(thm)],[])).
% 4.92/3.77 tff(12483,plain,
% 4.92/3.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s152, s153)) | node14(s152, s153)),
% 4.92/3.77 inference(modus_ponens,[status(thm)],[12482, 12481])).
% 4.92/3.77 tff(12484,plain,
% 4.92/3.77 (node14(s152, s153)),
% 4.92/3.77 inference(unit_resolution,[status(thm)],[12483, 46, 12440])).
% 4.92/3.77 tff(12485,plain,
% 4.92/3.77 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s153, c_n2) | node9(s152) | node8(s152) | node10(s152) | node11(s152) | node12(s152) | (~node14(s152, s153)) | (~m_main_v_state2(s152, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s153, c_n2) | node9(s152) | node8(s152) | node10(s152) | node11(s152) | node12(s152) | (~node14(s152, s153)) | (~m_main_v_state2(s152, c_c2)))),
% 4.92/3.77 inference(rewrite,[status(thm)],[])).
% 4.92/3.77 tff(12486,plain,
% 4.92/3.77 (((~m_main_v_state2(s152, c_c2)) | node9(s152) | node8(s152) | node10(s152) | node11(s152) | node12(s152) | (~node14(s152, s153)) | m_main_v_state2(s153, c_n2)) <=> (m_main_v_state2(s153, c_n2) | node9(s152) | node8(s152) | node10(s152) | node11(s152) | node12(s152) | (~node14(s152, s153)) | (~m_main_v_state2(s152, c_c2)))),
% 4.92/3.77 inference(rewrite,[status(thm)],[])).
% 4.92/3.77 tff(12487,plain,
% 4.92/3.77 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s152, c_c2)) | node9(s152) | node8(s152) | node10(s152) | node11(s152) | node12(s152) | (~node14(s152, s153)) | m_main_v_state2(s153, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s153, c_n2) | node9(s152) | node8(s152) | node10(s152) | node11(s152) | node12(s152) | (~node14(s152, s153)) | (~m_main_v_state2(s152, c_c2))))),
% 4.92/3.77 inference(monotonicity,[status(thm)],[12486])).
% 4.92/3.77 tff(12488,plain,
% 4.92/3.77 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s152, c_c2)) | node9(s152) | node8(s152) | node10(s152) | node11(s152) | node12(s152) | (~node14(s152, s153)) | m_main_v_state2(s153, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s153, c_n2) | node9(s152) | node8(s152) | node10(s152) | node11(s152) | node12(s152) | (~node14(s152, s153)) | (~m_main_v_state2(s152, c_c2)))),
% 4.92/3.77 inference(transitivity,[status(thm)],[12487, 12485])).
% 4.92/3.77 tff(12489,plain,
% 4.92/3.77 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s152, c_c2)) | node9(s152) | node8(s152) | node10(s152) | node11(s152) | node12(s152) | (~node14(s152, s153)) | m_main_v_state2(s153, c_n2))),
% 4.92/3.77 inference(quant_inst,[status(thm)],[])).
% 4.92/3.77 tff(12490,plain,
% 4.92/3.77 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s153, c_n2) | node9(s152) | node8(s152) | node10(s152) | node11(s152) | node12(s152) | (~node14(s152, s153)) | (~m_main_v_state2(s152, c_c2))),
% 4.92/3.77 inference(modus_ponens,[status(thm)],[12489, 12488])).
% 4.92/3.77 tff(12491,plain,
% 4.92/3.77 (m_main_v_state2(s153, c_n2) | node9(s152) | node8(s152) | node10(s152) | node11(s152) | node12(s152) | (~m_main_v_state2(s152, c_c2))),
% 4.92/3.77 inference(unit_resolution,[status(thm)],[12490, 726, 12484])).
% 4.92/3.77 tff(12492,plain,
% 4.92/3.77 (m_main_v_state2(s153, c_n2)),
% 4.92/3.77 inference(unit_resolution,[status(thm)],[12491, 12480, 12425, 12476, 12472, 12468, 12464])).
% 4.92/3.77 tff(12493,plain,
% 4.92/3.77 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s153, c_n2)) | (~m_main_v_state2(s153, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s153, c_n2)) | (~m_main_v_state2(s153, c_t2)))),
% 4.92/3.77 inference(rewrite,[status(thm)],[])).
% 4.92/3.77 tff(12494,plain,
% 4.92/3.77 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s153, c_n2)) | (~m_main_v_state2(s153, c_t2)))),
% 4.92/3.77 inference(quant_inst,[status(thm)],[])).
% 4.92/3.77 tff(12495,plain,
% 4.92/3.77 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s153, c_n2)) | (~m_main_v_state2(s153, c_t2))),
% 4.92/3.77 inference(modus_ponens,[status(thm)],[12494, 12493])).
% 4.92/3.77 tff(12496,plain,
% 4.92/3.77 (~m_main_v_state2(s153, c_t2)),
% 4.92/3.77 inference(unit_resolution,[status(thm)],[12495, 77, 12492])).
% 4.92/3.77 tff(12497,plain,
% 4.92/3.77 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s153, c_t2) | (~node15(s153)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s153, c_t2) | (~node15(s153)))),
% 4.92/3.77 inference(rewrite,[status(thm)],[])).
% 4.92/3.77 tff(12498,plain,
% 4.92/3.77 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s153, c_t2) | (~node15(s153)))),
% 4.92/3.77 inference(quant_inst,[status(thm)],[])).
% 4.92/3.77 tff(12499,plain,
% 4.92/3.77 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s153, c_t2) | (~node15(s153))),
% 4.92/3.77 inference(modus_ponens,[status(thm)],[12498, 12497])).
% 4.92/3.77 tff(12500,plain,
% 4.92/3.77 (~node15(s153)),
% 4.92/3.77 inference(unit_resolution,[status(thm)],[12499, 103, 12496])).
% 4.92/3.77 tff(12501,plain,
% 4.92/3.77 (succ(s153, s154) <=> succ(s153, s154)),
% 4.92/3.77 inference(rewrite,[status(thm)],[])).
% 4.92/3.77 tff(12502,axiom,(succ(s153, s154)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound154')).
% 4.92/3.77 tff(12503,plain,
% 4.92/3.77 (succ(s153, s154)),
% 4.92/3.77 inference(modus_ponens,[status(thm)],[12502, 12501])).
% 4.92/3.77 tff(12504,plain,
% 4.92/3.77 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s153, s154)) | trans(s153, s154))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s153, s154)) | trans(s153, s154))),
% 4.92/3.77 inference(rewrite,[status(thm)],[])).
% 4.92/3.77 tff(12505,plain,
% 4.92/3.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s153, s154)) | trans(s153, s154))),
% 4.92/3.77 inference(quant_inst,[status(thm)],[])).
% 4.92/3.77 tff(12506,plain,
% 4.92/3.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s153, s154)) | trans(s153, s154)),
% 4.92/3.77 inference(modus_ponens,[status(thm)],[12505, 12504])).
% 4.92/3.77 tff(12507,plain,
% 4.92/3.77 (trans(s153, s154)),
% 4.92/3.77 inference(unit_resolution,[status(thm)],[12506, 12503, 32])).
% 4.92/3.77 tff(12508,plain,
% 4.92/3.77 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s153, s154)) | node18(s153, s154))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s153, s154)) | node18(s153, s154))),
% 4.92/3.78 inference(rewrite,[status(thm)],[])).
% 4.92/3.78 tff(12509,plain,
% 4.92/3.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s153, s154)) | node18(s153, s154))),
% 4.92/3.78 inference(quant_inst,[status(thm)],[])).
% 4.92/3.78 tff(12510,plain,
% 4.92/3.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s153, s154)) | node18(s153, s154)),
% 4.92/3.78 inference(modus_ponens,[status(thm)],[12509, 12508])).
% 4.92/3.78 tff(12511,plain,
% 4.92/3.78 (node18(s153, s154)),
% 4.92/3.78 inference(unit_resolution,[status(thm)],[12510, 125, 12507])).
% 4.92/3.78 tff(12512,plain,
% 4.92/3.78 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s153) | (~node18(s153, s154)) | (~m_main_v_state1(s153, c_t1)) | (~m_main_v_state2(s153, c_n2)) | m_main_v_turn(s154, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s153) | (~node18(s153, s154)) | (~m_main_v_state1(s153, c_t1)) | (~m_main_v_state2(s153, c_n2)) | m_main_v_turn(s154, c_1))),
% 4.92/3.78 inference(rewrite,[status(thm)],[])).
% 4.92/3.78 tff(12513,plain,
% 4.92/3.78 (((~m_main_v_state1(s153, c_t1)) | (~m_main_v_state2(s153, c_n2)) | node15(s153) | (~node18(s153, s154)) | m_main_v_turn(s154, c_1)) <=> (node15(s153) | (~node18(s153, s154)) | (~m_main_v_state1(s153, c_t1)) | (~m_main_v_state2(s153, c_n2)) | m_main_v_turn(s154, c_1))),
% 4.92/3.78 inference(rewrite,[status(thm)],[])).
% 4.92/3.78 tff(12514,plain,
% 4.92/3.78 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s153, c_t1)) | (~m_main_v_state2(s153, c_n2)) | node15(s153) | (~node18(s153, s154)) | m_main_v_turn(s154, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s153) | (~node18(s153, s154)) | (~m_main_v_state1(s153, c_t1)) | (~m_main_v_state2(s153, c_n2)) | m_main_v_turn(s154, c_1)))),
% 4.92/3.78 inference(monotonicity,[status(thm)],[12513])).
% 4.92/3.78 tff(12515,plain,
% 4.92/3.78 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s153, c_t1)) | (~m_main_v_state2(s153, c_n2)) | node15(s153) | (~node18(s153, s154)) | m_main_v_turn(s154, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s153) | (~node18(s153, s154)) | (~m_main_v_state1(s153, c_t1)) | (~m_main_v_state2(s153, c_n2)) | m_main_v_turn(s154, c_1))),
% 4.92/3.78 inference(transitivity,[status(thm)],[12514, 12512])).
% 4.92/3.78 tff(12516,plain,
% 4.92/3.78 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s153, c_t1)) | (~m_main_v_state2(s153, c_n2)) | node15(s153) | (~node18(s153, s154)) | m_main_v_turn(s154, c_1))),
% 4.92/3.78 inference(quant_inst,[status(thm)],[])).
% 4.92/3.78 tff(12517,plain,
% 4.92/3.78 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s153) | (~node18(s153, s154)) | (~m_main_v_state1(s153, c_t1)) | (~m_main_v_state2(s153, c_n2)) | m_main_v_turn(s154, c_1)),
% 4.92/3.78 inference(modus_ponens,[status(thm)],[12516, 12515])).
% 4.92/3.78 tff(12518,plain,
% 4.92/3.78 (node15(s153) | (~m_main_v_state1(s153, c_t1)) | (~m_main_v_state2(s153, c_n2)) | m_main_v_turn(s154, c_1)),
% 4.92/3.78 inference(unit_resolution,[status(thm)],[12517, 992, 12511])).
% 4.92/3.78 tff(12519,plain,
% 4.92/3.78 (m_main_v_turn(s154, c_1)),
% 4.92/3.78 inference(unit_resolution,[status(thm)],[12518, 12500, 12492, 12456])).
% 4.92/3.78 tff(12520,plain,
% 4.92/3.78 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s154, c_1)) | (~m_main_v_turn(s154, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s154, c_1)) | (~m_main_v_turn(s154, c_2)))),
% 4.94/3.78 inference(rewrite,[status(thm)],[])).
% 4.94/3.78 tff(12521,plain,
% 4.94/3.78 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s154, c_1)) | (~m_main_v_turn(s154, c_2)))),
% 4.94/3.78 inference(quant_inst,[status(thm)],[])).
% 4.94/3.78 tff(12522,plain,
% 4.94/3.78 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s154, c_1)) | (~m_main_v_turn(s154, c_2))),
% 4.94/3.78 inference(modus_ponens,[status(thm)],[12521, 12520])).
% 4.94/3.78 tff(12523,plain,
% 4.94/3.78 (~m_main_v_turn(s154, c_2)),
% 4.94/3.78 inference(unit_resolution,[status(thm)],[12522, 156, 12519])).
% 4.94/3.78 tff(12524,plain,
% 4.94/3.78 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s154, c_2) | (~node12(s154)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s154, c_2) | (~node12(s154)))),
% 4.94/3.78 inference(rewrite,[status(thm)],[])).
% 4.94/3.78 tff(12525,plain,
% 4.94/3.78 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s154, c_2) | (~node12(s154)))),
% 4.94/3.78 inference(quant_inst,[status(thm)],[])).
% 4.94/3.78 tff(12526,plain,
% 4.94/3.78 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s154, c_2) | (~node12(s154))),
% 4.94/3.78 inference(modus_ponens,[status(thm)],[12525, 12524])).
% 4.94/3.78 tff(12527,plain,
% 4.94/3.78 (~node12(s154)),
% 4.94/3.78 inference(unit_resolution,[status(thm)],[12526, 184, 12523])).
% 4.94/3.78 tff(12528,plain,
% 4.94/3.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s153, s154)) | node14(s153, s154))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s153, s154)) | node14(s153, s154))),
% 4.94/3.78 inference(rewrite,[status(thm)],[])).
% 4.94/3.78 tff(12529,plain,
% 4.94/3.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s153, s154)) | node14(s153, s154))),
% 4.94/3.78 inference(quant_inst,[status(thm)],[])).
% 4.94/3.78 tff(12530,plain,
% 4.94/3.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s153, s154)) | node14(s153, s154)),
% 4.94/3.78 inference(modus_ponens,[status(thm)],[12529, 12528])).
% 4.94/3.78 tff(12531,plain,
% 4.94/3.78 (node14(s153, s154)),
% 4.94/3.78 inference(unit_resolution,[status(thm)],[12530, 46, 12507])).
% 4.94/3.78 tff(12532,plain,
% 4.94/3.78 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s153, c_t1)) | (~m_main_v_state2(s153, c_n2)) | (~node14(s153, s154)) | m_main_v_state2(s154, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s153, c_t1)) | (~m_main_v_state2(s153, c_n2)) | (~node14(s153, s154)) | m_main_v_state2(s154, c_t2))),
% 4.94/3.78 inference(rewrite,[status(thm)],[])).
% 4.94/3.78 tff(12533,plain,
% 4.94/3.78 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s153, c_t1)) | (~m_main_v_state2(s153, c_n2)) | (~node14(s153, s154)) | m_main_v_state2(s154, c_t2))),
% 4.94/3.78 inference(quant_inst,[status(thm)],[])).
% 4.94/3.78 tff(12534,plain,
% 4.94/3.78 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s153, c_t1)) | (~m_main_v_state2(s153, c_n2)) | (~node14(s153, s154)) | m_main_v_state2(s154, c_t2)),
% 4.94/3.78 inference(modus_ponens,[status(thm)],[12533, 12532])).
% 4.94/3.78 tff(12535,plain,
% 4.94/3.78 ((~m_main_v_state1(s153, c_t1)) | (~m_main_v_state2(s153, c_n2)) | m_main_v_state2(s154, c_t2)),
% 4.94/3.78 inference(unit_resolution,[status(thm)],[12534, 922, 12531])).
% 4.94/3.78 tff(12536,plain,
% 4.94/3.78 (m_main_v_state2(s154, c_t2)),
% 4.94/3.78 inference(unit_resolution,[status(thm)],[12535, 12456, 12492])).
% 4.94/3.78 tff(12537,plain,
% 4.94/3.78 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s154, c_n2)) | (~m_main_v_state2(s154, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s154, c_n2)) | (~m_main_v_state2(s154, c_t2)))),
% 4.94/3.78 inference(rewrite,[status(thm)],[])).
% 4.94/3.78 tff(12538,plain,
% 4.94/3.78 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s154, c_n2)) | (~m_main_v_state2(s154, c_t2)))),
% 4.94/3.78 inference(quant_inst,[status(thm)],[])).
% 4.94/3.78 tff(12539,plain,
% 4.94/3.78 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s154, c_n2)) | (~m_main_v_state2(s154, c_t2))),
% 4.94/3.78 inference(modus_ponens,[status(thm)],[12538, 12537])).
% 4.94/3.78 tff(12540,plain,
% 4.94/3.78 (~m_main_v_state2(s154, c_n2)),
% 4.94/3.78 inference(unit_resolution,[status(thm)],[12539, 77, 12536])).
% 4.94/3.78 tff(12541,plain,
% 4.94/3.78 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s154, c_n2) | (~node8(s154)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s154, c_n2) | (~node8(s154)))),
% 4.94/3.78 inference(rewrite,[status(thm)],[])).
% 4.94/3.78 tff(12542,plain,
% 4.94/3.78 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s154, c_n2) | (~node8(s154)))),
% 4.94/3.78 inference(quant_inst,[status(thm)],[])).
% 4.94/3.78 tff(12543,plain,
% 4.94/3.78 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s154, c_n2) | (~node8(s154))),
% 4.94/3.78 inference(modus_ponens,[status(thm)],[12542, 12541])).
% 4.94/3.78 tff(12544,plain,
% 4.94/3.78 (~node8(s154)),
% 4.94/3.78 inference(unit_resolution,[status(thm)],[12543, 271, 12540])).
% 4.94/3.78 tff(12545,plain,
% 4.94/3.78 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s154, c_n2) | (~node9(s154)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s154, c_n2) | (~node9(s154)))),
% 4.94/3.78 inference(rewrite,[status(thm)],[])).
% 4.94/3.78 tff(12546,plain,
% 4.94/3.78 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s154, c_n2) | (~node9(s154)))),
% 4.94/3.78 inference(quant_inst,[status(thm)],[])).
% 4.94/3.78 tff(12547,plain,
% 4.94/3.78 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s154, c_n2) | (~node9(s154))),
% 4.94/3.78 inference(modus_ponens,[status(thm)],[12546, 12545])).
% 4.94/3.78 tff(12548,plain,
% 4.94/3.78 (~node9(s154)),
% 4.94/3.78 inference(unit_resolution,[status(thm)],[12547, 88, 12540])).
% 4.94/3.78 tff(12549,plain,
% 4.94/3.78 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s154, c_n2) | (~node10(s154)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s154, c_n2) | (~node10(s154)))),
% 4.94/3.78 inference(rewrite,[status(thm)],[])).
% 4.94/3.78 tff(12550,plain,
% 4.94/3.78 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s154, c_n2) | (~node10(s154)))),
% 4.94/3.78 inference(quant_inst,[status(thm)],[])).
% 4.94/3.78 tff(12551,plain,
% 4.94/3.78 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s154, c_n2) | (~node10(s154))),
% 4.94/3.78 inference(modus_ponens,[status(thm)],[12550, 12549])).
% 4.94/3.78 tff(12552,plain,
% 4.94/3.78 (~node10(s154)),
% 4.94/3.78 inference(unit_resolution,[status(thm)],[12551, 249, 12540])).
% 4.94/3.78 tff(12553,plain,
% 4.94/3.78 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s154, c_t2)) | (~m_main_v_state2(s154, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s154, c_t2)) | (~m_main_v_state2(s154, c_c2)))),
% 4.94/3.78 inference(rewrite,[status(thm)],[])).
% 4.94/3.78 tff(12554,plain,
% 4.94/3.78 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s154, c_t2)) | (~m_main_v_state2(s154, c_c2)))),
% 4.94/3.78 inference(quant_inst,[status(thm)],[])).
% 4.94/3.78 tff(12555,plain,
% 4.94/3.78 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s154, c_t2)) | (~m_main_v_state2(s154, c_c2))),
% 4.94/3.78 inference(modus_ponens,[status(thm)],[12554, 12553])).
% 4.94/3.78 tff(12556,plain,
% 4.94/3.78 (~m_main_v_state2(s154, c_c2)),
% 4.94/3.78 inference(unit_resolution,[status(thm)],[12555, 260, 12536])).
% 4.94/3.78 tff(12557,plain,
% 4.94/3.78 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s153, c_n2)) | (~m_main_v_state2(s153, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s153, c_n2)) | (~m_main_v_state2(s153, c_c2)))),
% 4.94/3.78 inference(rewrite,[status(thm)],[])).
% 4.94/3.78 tff(12558,plain,
% 4.94/3.78 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s153, c_n2)) | (~m_main_v_state2(s153, c_c2)))),
% 4.94/3.78 inference(quant_inst,[status(thm)],[])).
% 4.94/3.78 tff(12559,plain,
% 4.94/3.78 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s153, c_n2)) | (~m_main_v_state2(s153, c_c2))),
% 4.94/3.78 inference(modus_ponens,[status(thm)],[12558, 12557])).
% 4.94/3.78 tff(12560,plain,
% 4.94/3.78 (~m_main_v_state2(s153, c_c2)),
% 4.94/3.78 inference(unit_resolution,[status(thm)],[12559, 697, 12492])).
% 4.94/3.78 tff(12561,plain,
% 4.94/3.78 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s153, c_c2) | (~node3(s153)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s153, c_c2) | (~node3(s153)))),
% 4.94/3.78 inference(rewrite,[status(thm)],[])).
% 4.94/3.78 tff(12562,plain,
% 4.94/3.78 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s153, c_c2) | (~node3(s153)))),
% 4.94/3.78 inference(quant_inst,[status(thm)],[])).
% 4.94/3.78 tff(12563,plain,
% 4.94/3.78 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s153, c_c2) | (~node3(s153))),
% 4.94/3.78 inference(modus_ponens,[status(thm)],[12562, 12561])).
% 4.94/3.78 tff(12564,plain,
% 4.94/3.78 (~node3(s153)),
% 4.94/3.78 inference(unit_resolution,[status(thm)],[12563, 399, 12560])).
% 4.94/3.78 tff(12565,plain,
% 4.94/3.78 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s152, c_n1) | (~m_main_v_state1(s153, c_n1)) | (~node6(s152, s153)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s152, c_n1) | (~m_main_v_state1(s153, c_n1)) | (~node6(s152, s153)))),
% 4.94/3.78 inference(rewrite,[status(thm)],[])).
% 4.94/3.78 tff(12566,plain,
% 4.94/3.78 (((~node6(s152, s153)) | m_main_v_state1(s152, c_n1) | (~m_main_v_state1(s153, c_n1))) <=> (m_main_v_state1(s152, c_n1) | (~m_main_v_state1(s153, c_n1)) | (~node6(s152, s153)))),
% 4.94/3.78 inference(rewrite,[status(thm)],[])).
% 4.94/3.78 tff(12567,plain,
% 4.94/3.78 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s152, s153)) | m_main_v_state1(s152, c_n1) | (~m_main_v_state1(s153, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s152, c_n1) | (~m_main_v_state1(s153, c_n1)) | (~node6(s152, s153))))),
% 4.94/3.78 inference(monotonicity,[status(thm)],[12566])).
% 4.94/3.78 tff(12568,plain,
% 4.94/3.78 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s152, s153)) | m_main_v_state1(s152, c_n1) | (~m_main_v_state1(s153, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s152, c_n1) | (~m_main_v_state1(s153, c_n1)) | (~node6(s152, s153)))),
% 4.94/3.78 inference(transitivity,[status(thm)],[12567, 12565])).
% 4.94/3.78 tff(12569,plain,
% 4.94/3.78 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s152, s153)) | m_main_v_state1(s152, c_n1) | (~m_main_v_state1(s153, c_n1)))),
% 4.94/3.78 inference(quant_inst,[status(thm)],[])).
% 4.94/3.78 tff(12570,plain,
% 4.94/3.78 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s152, c_n1) | (~m_main_v_state1(s153, c_n1)) | (~node6(s152, s153))),
% 4.94/3.78 inference(modus_ponens,[status(thm)],[12569, 12568])).
% 4.94/3.78 tff(12571,plain,
% 4.94/3.78 (~m_main_v_state1(s153, c_n1)),
% 4.94/3.78 inference(unit_resolution,[status(thm)],[12570, 835, 12364, 12449])).
% 4.94/3.78 tff(12572,plain,
% 4.94/3.78 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s153, c_n1) | (~node2(s153)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s153, c_n1) | (~node2(s153)))),
% 4.94/3.78 inference(rewrite,[status(thm)],[])).
% 4.94/3.78 tff(12573,plain,
% 4.94/3.78 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s153, c_n1) | (~node2(s153)))),
% 4.94/3.78 inference(quant_inst,[status(thm)],[])).
% 4.94/3.78 tff(12574,plain,
% 4.94/3.78 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s153, c_n1) | (~node2(s153))),
% 4.94/3.78 inference(modus_ponens,[status(thm)],[12573, 12572])).
% 4.94/3.78 tff(12575,plain,
% 4.94/3.78 (~node2(s153)),
% 4.94/3.78 inference(unit_resolution,[status(thm)],[12574, 787, 12571])).
% 4.94/3.78 tff(12576,plain,
% 4.94/3.78 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s153, c_t2) | (~node1(s153)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s153, c_t2) | (~node1(s153)))),
% 4.94/3.78 inference(rewrite,[status(thm)],[])).
% 4.94/3.78 tff(12577,plain,
% 4.94/3.78 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s153, c_t2) | (~node1(s153)))),
% 4.94/3.78 inference(quant_inst,[status(thm)],[])).
% 4.94/3.78 tff(12578,plain,
% 4.94/3.78 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s153, c_t2) | (~node1(s153))),
% 4.94/3.78 inference(modus_ponens,[status(thm)],[12577, 12576])).
% 4.94/3.78 tff(12579,plain,
% 4.94/3.78 (~node1(s153)),
% 4.94/3.78 inference(unit_resolution,[status(thm)],[12578, 195, 12496])).
% 4.94/3.78 tff(12580,plain,
% 4.94/3.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s153, s154)) | node7(s153, s154))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s153, s154)) | node7(s153, s154))),
% 4.94/3.78 inference(rewrite,[status(thm)],[])).
% 4.94/3.78 tff(12581,plain,
% 4.94/3.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s153, s154)) | node7(s153, s154))),
% 4.94/3.78 inference(quant_inst,[status(thm)],[])).
% 4.94/3.78 tff(12582,plain,
% 4.94/3.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s153, s154)) | node7(s153, s154)),
% 4.94/3.78 inference(modus_ponens,[status(thm)],[12581, 12580])).
% 4.94/3.78 tff(12583,plain,
% 4.94/3.78 (node7(s153, s154)),
% 4.94/3.78 inference(unit_resolution,[status(thm)],[12582, 206, 12507])).
% 4.94/3.78 tff(12584,plain,
% 4.94/3.78 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s153, c_t1)) | (~m_main_v_state2(s153, c_n2)) | m_main_v_state1(s154, c_c1) | node1(s153) | node2(s153) | node3(s153) | (~node7(s153, s154)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s153, c_t1)) | (~m_main_v_state2(s153, c_n2)) | m_main_v_state1(s154, c_c1) | node1(s153) | node2(s153) | node3(s153) | (~node7(s153, s154)))),
% 4.94/3.78 inference(rewrite,[status(thm)],[])).
% 4.94/3.78 tff(12585,plain,
% 4.94/3.78 (((~m_main_v_state1(s153, c_t1)) | (~m_main_v_state2(s153, c_n2)) | node1(s153) | node2(s153) | node3(s153) | (~node7(s153, s154)) | m_main_v_state1(s154, c_c1)) <=> ((~m_main_v_state1(s153, c_t1)) | (~m_main_v_state2(s153, c_n2)) | m_main_v_state1(s154, c_c1) | node1(s153) | node2(s153) | node3(s153) | (~node7(s153, s154)))),
% 4.94/3.78 inference(rewrite,[status(thm)],[])).
% 4.94/3.78 tff(12586,plain,
% 4.94/3.78 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s153, c_t1)) | (~m_main_v_state2(s153, c_n2)) | node1(s153) | node2(s153) | node3(s153) | (~node7(s153, s154)) | m_main_v_state1(s154, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s153, c_t1)) | (~m_main_v_state2(s153, c_n2)) | m_main_v_state1(s154, c_c1) | node1(s153) | node2(s153) | node3(s153) | (~node7(s153, s154))))),
% 4.94/3.78 inference(monotonicity,[status(thm)],[12585])).
% 4.94/3.78 tff(12587,plain,
% 4.94/3.78 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s153, c_t1)) | (~m_main_v_state2(s153, c_n2)) | node1(s153) | node2(s153) | node3(s153) | (~node7(s153, s154)) | m_main_v_state1(s154, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s153, c_t1)) | (~m_main_v_state2(s153, c_n2)) | m_main_v_state1(s154, c_c1) | node1(s153) | node2(s153) | node3(s153) | (~node7(s153, s154)))),
% 4.94/3.78 inference(transitivity,[status(thm)],[12586, 12584])).
% 4.94/3.78 tff(12588,plain,
% 4.94/3.78 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s153, c_t1)) | (~m_main_v_state2(s153, c_n2)) | node1(s153) | node2(s153) | node3(s153) | (~node7(s153, s154)) | m_main_v_state1(s154, c_c1))),
% 4.94/3.78 inference(quant_inst,[status(thm)],[])).
% 4.94/3.78 tff(12589,plain,
% 4.94/3.78 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s153, c_t1)) | (~m_main_v_state2(s153, c_n2)) | m_main_v_state1(s154, c_c1) | node1(s153) | node2(s153) | node3(s153) | (~node7(s153, s154))),
% 4.94/3.78 inference(modus_ponens,[status(thm)],[12588, 12587])).
% 4.94/3.78 tff(12590,plain,
% 4.94/3.78 ((~m_main_v_state1(s153, c_t1)) | (~m_main_v_state2(s153, c_n2)) | m_main_v_state1(s154, c_c1) | node1(s153) | node2(s153) | node3(s153)),
% 4.94/3.78 inference(unit_resolution,[status(thm)],[12589, 892, 12583])).
% 4.94/3.78 tff(12591,plain,
% 4.94/3.78 (m_main_v_state1(s154, c_c1)),
% 4.94/3.78 inference(unit_resolution,[status(thm)],[12590, 12579, 12492, 12456, 12575, 12564])).
% 4.94/3.78 tff(12592,plain,
% 4.94/3.78 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s154, c_n1)) | (~m_main_v_state1(s154, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s154, c_n1)) | (~m_main_v_state1(s154, c_c1)))),
% 4.94/3.78 inference(rewrite,[status(thm)],[])).
% 4.94/3.78 tff(12593,plain,
% 4.94/3.78 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s154, c_n1)) | (~m_main_v_state1(s154, c_c1)))),
% 4.94/3.78 inference(quant_inst,[status(thm)],[])).
% 4.94/3.78 tff(12594,plain,
% 4.94/3.78 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s154, c_n1)) | (~m_main_v_state1(s154, c_c1))),
% 4.94/3.78 inference(modus_ponens,[status(thm)],[12593, 12592])).
% 4.94/3.78 tff(12595,plain,
% 4.94/3.78 (~m_main_v_state1(s154, c_n1)),
% 4.94/3.78 inference(unit_resolution,[status(thm)],[12594, 454, 12591])).
% 4.94/3.78 tff(12596,plain,
% 4.94/3.78 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s154, c_n1) | (~node11(s154)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s154, c_n1) | (~node11(s154)))),
% 4.94/3.78 inference(rewrite,[status(thm)],[])).
% 4.94/3.78 tff(12597,plain,
% 4.94/3.78 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s154, c_n1) | (~node11(s154)))),
% 4.94/3.78 inference(quant_inst,[status(thm)],[])).
% 4.94/3.78 tff(12598,plain,
% 4.94/3.78 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s154, c_n1) | (~node11(s154))),
% 4.94/3.78 inference(modus_ponens,[status(thm)],[12597, 12596])).
% 4.94/3.78 tff(12599,plain,
% 4.94/3.78 (~node11(s154)),
% 4.94/3.78 inference(unit_resolution,[status(thm)],[12598, 238, 12595])).
% 4.94/3.78 tff(12600,plain,
% 4.94/3.78 (succ(s154, s155) <=> succ(s154, s155)),
% 4.94/3.78 inference(rewrite,[status(thm)],[])).
% 4.94/3.78 tff(12601,axiom,(succ(s154, s155)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound155')).
% 4.94/3.78 tff(12602,plain,
% 4.94/3.78 (succ(s154, s155)),
% 4.94/3.78 inference(modus_ponens,[status(thm)],[12601, 12600])).
% 4.94/3.78 tff(12603,plain,
% 4.94/3.78 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s154, s155)) | trans(s154, s155))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s154, s155)) | trans(s154, s155))),
% 4.94/3.78 inference(rewrite,[status(thm)],[])).
% 4.94/3.78 tff(12604,plain,
% 4.94/3.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s154, s155)) | trans(s154, s155))),
% 4.94/3.78 inference(quant_inst,[status(thm)],[])).
% 4.94/3.78 tff(12605,plain,
% 4.94/3.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s154, s155)) | trans(s154, s155)),
% 4.94/3.78 inference(modus_ponens,[status(thm)],[12604, 12603])).
% 4.94/3.78 tff(12606,plain,
% 4.94/3.78 (trans(s154, s155)),
% 4.94/3.78 inference(unit_resolution,[status(thm)],[12605, 12602, 32])).
% 4.94/3.78 tff(12607,plain,
% 4.94/3.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s154, s155)) | node14(s154, s155))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s154, s155)) | node14(s154, s155))),
% 4.94/3.78 inference(rewrite,[status(thm)],[])).
% 4.94/3.78 tff(12608,plain,
% 4.94/3.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s154, s155)) | node14(s154, s155))),
% 4.94/3.78 inference(quant_inst,[status(thm)],[])).
% 4.94/3.78 tff(12609,plain,
% 4.94/3.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s154, s155)) | node14(s154, s155)),
% 4.94/3.78 inference(modus_ponens,[status(thm)],[12608, 12607])).
% 4.94/3.78 tff(12610,plain,
% 4.94/3.78 (node14(s154, s155)),
% 4.94/3.78 inference(unit_resolution,[status(thm)],[12609, 46, 12606])).
% 4.94/3.78 tff(12611,plain,
% 4.94/3.78 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s154, c_c2) | node9(s154) | node8(s154) | node10(s154) | node11(s154) | node12(s154) | node13(s154, s155) | (~node14(s154, s155)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s154, c_c2) | node9(s154) | node8(s154) | node10(s154) | node11(s154) | node12(s154) | node13(s154, s155) | (~node14(s154, s155)))),
% 4.94/3.78 inference(rewrite,[status(thm)],[])).
% 4.94/3.78 tff(12612,plain,
% 4.94/3.78 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s154, c_c2) | node9(s154) | node8(s154) | node10(s154) | node11(s154) | node12(s154) | node13(s154, s155) | (~node14(s154, s155)))),
% 4.94/3.78 inference(quant_inst,[status(thm)],[])).
% 4.94/3.78 tff(12613,plain,
% 4.94/3.78 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s154, c_c2) | node9(s154) | node8(s154) | node10(s154) | node11(s154) | node12(s154) | node13(s154, s155) | (~node14(s154, s155))),
% 4.94/3.78 inference(modus_ponens,[status(thm)],[12612, 12611])).
% 4.94/3.78 tff(12614,plain,
% 4.94/3.78 (m_main_v_state2(s154, c_c2) | node9(s154) | node8(s154) | node10(s154) | node11(s154) | node12(s154) | node13(s154, s155)),
% 4.94/3.78 inference(unit_resolution,[status(thm)],[12613, 296, 12610])).
% 4.94/3.78 tff(12615,plain,
% 4.94/3.78 (node13(s154, s155)),
% 4.94/3.78 inference(unit_resolution,[status(thm)],[12614, 12599, 12556, 12552, 12548, 12544, 12527])).
% 4.94/3.78 tff(12616,plain,
% 4.94/3.78 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s154, c_n2) | (~m_main_v_state2(s155, c_n2)) | (~node13(s154, s155)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s154, c_n2) | (~m_main_v_state2(s155, c_n2)) | (~node13(s154, s155)))),
% 4.94/3.78 inference(rewrite,[status(thm)],[])).
% 4.94/3.78 tff(12617,plain,
% 4.94/3.78 (((~node13(s154, s155)) | m_main_v_state2(s154, c_n2) | (~m_main_v_state2(s155, c_n2))) <=> (m_main_v_state2(s154, c_n2) | (~m_main_v_state2(s155, c_n2)) | (~node13(s154, s155)))),
% 4.94/3.78 inference(rewrite,[status(thm)],[])).
% 4.94/3.78 tff(12618,plain,
% 4.94/3.78 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s154, s155)) | m_main_v_state2(s154, c_n2) | (~m_main_v_state2(s155, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s154, c_n2) | (~m_main_v_state2(s155, c_n2)) | (~node13(s154, s155))))),
% 4.94/3.78 inference(monotonicity,[status(thm)],[12617])).
% 4.94/3.78 tff(12619,plain,
% 4.94/3.78 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s154, s155)) | m_main_v_state2(s154, c_n2) | (~m_main_v_state2(s155, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s154, c_n2) | (~m_main_v_state2(s155, c_n2)) | (~node13(s154, s155)))),
% 4.94/3.78 inference(transitivity,[status(thm)],[12618, 12616])).
% 4.94/3.78 tff(12620,plain,
% 4.94/3.78 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s154, s155)) | m_main_v_state2(s154, c_n2) | (~m_main_v_state2(s155, c_n2)))),
% 4.94/3.78 inference(quant_inst,[status(thm)],[])).
% 4.94/3.78 tff(12621,plain,
% 4.94/3.78 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s154, c_n2) | (~m_main_v_state2(s155, c_n2)) | (~node13(s154, s155))),
% 4.94/3.79 inference(modus_ponens,[status(thm)],[12620, 12619])).
% 4.94/3.79 tff(12622,plain,
% 4.94/3.79 (~m_main_v_state2(s155, c_n2)),
% 4.94/3.79 inference(unit_resolution,[status(thm)],[12621, 311, 12540, 12615])).
% 4.94/3.79 tff(12623,plain,
% 4.94/3.79 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s155, c_n2) | (~node9(s155)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s155, c_n2) | (~node9(s155)))),
% 4.94/3.79 inference(rewrite,[status(thm)],[])).
% 4.94/3.79 tff(12624,plain,
% 4.94/3.79 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s155, c_n2) | (~node9(s155)))),
% 4.94/3.79 inference(quant_inst,[status(thm)],[])).
% 4.94/3.79 tff(12625,plain,
% 4.94/3.79 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s155, c_n2) | (~node9(s155))),
% 4.94/3.79 inference(modus_ponens,[status(thm)],[12624, 12623])).
% 4.94/3.79 tff(12626,plain,
% 4.94/3.79 (~node9(s155)),
% 4.94/3.79 inference(unit_resolution,[status(thm)],[12625, 88, 12622])).
% 4.94/3.79 tff(12627,plain,
% 4.94/3.79 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s155, c_n2) | (~node10(s155)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s155, c_n2) | (~node10(s155)))),
% 4.94/3.79 inference(rewrite,[status(thm)],[])).
% 4.94/3.79 tff(12628,plain,
% 4.94/3.79 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s155, c_n2) | (~node10(s155)))),
% 4.94/3.79 inference(quant_inst,[status(thm)],[])).
% 4.94/3.79 tff(12629,plain,
% 4.94/3.79 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s155, c_n2) | (~node10(s155))),
% 4.94/3.79 inference(modus_ponens,[status(thm)],[12628, 12627])).
% 4.94/3.79 tff(12630,plain,
% 4.94/3.79 (~node10(s155)),
% 4.94/3.79 inference(unit_resolution,[status(thm)],[12629, 249, 12622])).
% 4.94/3.79 tff(12631,plain,
% 4.94/3.79 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s154, c_t2)) | m_main_v_state2(s155, c_t2) | (~node13(s154, s155)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s154, c_t2)) | m_main_v_state2(s155, c_t2) | (~node13(s154, s155)))),
% 4.94/3.79 inference(rewrite,[status(thm)],[])).
% 4.94/3.79 tff(12632,plain,
% 4.94/3.79 (((~node13(s154, s155)) | (~m_main_v_state2(s154, c_t2)) | m_main_v_state2(s155, c_t2)) <=> ((~m_main_v_state2(s154, c_t2)) | m_main_v_state2(s155, c_t2) | (~node13(s154, s155)))),
% 4.94/3.79 inference(rewrite,[status(thm)],[])).
% 4.94/3.79 tff(12633,plain,
% 4.94/3.79 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s154, s155)) | (~m_main_v_state2(s154, c_t2)) | m_main_v_state2(s155, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s154, c_t2)) | m_main_v_state2(s155, c_t2) | (~node13(s154, s155))))),
% 4.94/3.79 inference(monotonicity,[status(thm)],[12632])).
% 4.94/3.79 tff(12634,plain,
% 4.94/3.79 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s154, s155)) | (~m_main_v_state2(s154, c_t2)) | m_main_v_state2(s155, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s154, c_t2)) | m_main_v_state2(s155, c_t2) | (~node13(s154, s155)))),
% 4.94/3.79 inference(transitivity,[status(thm)],[12633, 12631])).
% 4.94/3.79 tff(12635,plain,
% 4.94/3.79 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s154, s155)) | (~m_main_v_state2(s154, c_t2)) | m_main_v_state2(s155, c_t2))),
% 4.94/3.79 inference(quant_inst,[status(thm)],[])).
% 4.94/3.79 tff(12636,plain,
% 4.94/3.79 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s154, c_t2)) | m_main_v_state2(s155, c_t2) | (~node13(s154, s155))),
% 4.94/3.79 inference(modus_ponens,[status(thm)],[12635, 12634])).
% 4.94/3.79 tff(12637,plain,
% 4.94/3.79 (m_main_v_state2(s155, c_t2)),
% 4.94/3.79 inference(unit_resolution,[status(thm)],[12636, 518, 12536, 12615])).
% 4.94/3.79 tff(12638,plain,
% 4.94/3.79 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s154, c_t1)) | (~m_main_v_state1(s154, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s154, c_t1)) | (~m_main_v_state1(s154, c_c1)))),
% 4.94/3.79 inference(rewrite,[status(thm)],[])).
% 4.94/3.79 tff(12639,plain,
% 4.94/3.79 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s154, c_t1)) | (~m_main_v_state1(s154, c_c1)))),
% 4.94/3.79 inference(quant_inst,[status(thm)],[])).
% 4.94/3.79 tff(12640,plain,
% 4.94/3.79 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s154, c_t1)) | (~m_main_v_state1(s154, c_c1))),
% 4.94/3.79 inference(modus_ponens,[status(thm)],[12639, 12638])).
% 4.94/3.79 tff(12641,plain,
% 4.94/3.79 (~m_main_v_state1(s154, c_t1)),
% 4.94/3.79 inference(unit_resolution,[status(thm)],[12640, 539, 12591])).
% 4.94/3.79 tff(12642,plain,
% 4.94/3.79 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s154, c_t1) | (~node5(s154)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s154, c_t1) | (~node5(s154)))),
% 4.94/3.79 inference(rewrite,[status(thm)],[])).
% 4.94/3.79 tff(12643,plain,
% 4.94/3.79 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s154, c_t1) | (~node5(s154)))),
% 4.94/3.79 inference(quant_inst,[status(thm)],[])).
% 4.94/3.79 tff(12644,plain,
% 4.94/3.79 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s154, c_t1) | (~node5(s154))),
% 4.94/3.79 inference(modus_ponens,[status(thm)],[12643, 12642])).
% 4.94/3.79 tff(12645,plain,
% 4.94/3.79 (~node5(s154)),
% 4.94/3.79 inference(unit_resolution,[status(thm)],[12644, 550, 12641])).
% 4.94/3.79 tff(12646,plain,
% 4.94/3.79 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s154, c_n2) | (~node4(s154)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s154, c_n2) | (~node4(s154)))),
% 4.94/3.79 inference(rewrite,[status(thm)],[])).
% 4.94/3.79 tff(12647,plain,
% 4.94/3.79 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s154, c_n2) | (~node4(s154)))),
% 4.94/3.79 inference(quant_inst,[status(thm)],[])).
% 4.94/3.79 tff(12648,plain,
% 4.94/3.79 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s154, c_n2) | (~node4(s154))),
% 4.94/3.79 inference(modus_ponens,[status(thm)],[12647, 12646])).
% 4.94/3.79 tff(12649,plain,
% 4.94/3.79 (~node4(s154)),
% 4.94/3.79 inference(unit_resolution,[status(thm)],[12648, 388, 12540])).
% 4.94/3.79 tff(12650,plain,
% 4.94/3.79 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s154, c_c2) | (~node3(s154)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s154, c_c2) | (~node3(s154)))),
% 4.94/3.79 inference(rewrite,[status(thm)],[])).
% 4.94/3.79 tff(12651,plain,
% 4.94/3.79 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s154, c_c2) | (~node3(s154)))),
% 4.94/3.79 inference(quant_inst,[status(thm)],[])).
% 4.94/3.79 tff(12652,plain,
% 4.94/3.79 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s154, c_c2) | (~node3(s154))),
% 4.94/3.79 inference(modus_ponens,[status(thm)],[12651, 12650])).
% 4.94/3.79 tff(12653,plain,
% 4.94/3.79 (~node3(s154)),
% 4.94/3.79 inference(unit_resolution,[status(thm)],[12652, 399, 12556])).
% 4.94/3.79 tff(12654,plain,
% 4.94/3.79 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s154, c_n2) | (~node2(s154)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s154, c_n2) | (~node2(s154)))),
% 4.94/3.79 inference(rewrite,[status(thm)],[])).
% 4.94/3.79 tff(12655,plain,
% 4.94/3.79 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s154, c_n2) | (~node2(s154)))),
% 4.94/3.79 inference(quant_inst,[status(thm)],[])).
% 4.94/3.79 tff(12656,plain,
% 4.94/3.79 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s154, c_n2) | (~node2(s154))),
% 4.94/3.79 inference(modus_ponens,[status(thm)],[12655, 12654])).
% 4.94/3.79 tff(12657,plain,
% 4.94/3.79 (~node2(s154)),
% 4.94/3.79 inference(unit_resolution,[status(thm)],[12656, 410, 12540])).
% 4.94/3.79 tff(12658,plain,
% 4.94/3.79 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s154, c_n1) | (~node1(s154)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s154, c_n1) | (~node1(s154)))),
% 4.94/3.79 inference(rewrite,[status(thm)],[])).
% 4.94/3.79 tff(12659,plain,
% 4.94/3.79 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s154, c_n1) | (~node1(s154)))),
% 4.94/3.79 inference(quant_inst,[status(thm)],[])).
% 4.94/3.79 tff(12660,plain,
% 4.94/3.79 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s154, c_n1) | (~node1(s154))),
% 4.94/3.79 inference(modus_ponens,[status(thm)],[12659, 12658])).
% 4.94/3.79 tff(12661,plain,
% 4.94/3.79 (~node1(s154)),
% 4.94/3.79 inference(unit_resolution,[status(thm)],[12660, 421, 12595])).
% 4.94/3.79 tff(12662,plain,
% 4.94/3.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s154, s155)) | node7(s154, s155))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s154, s155)) | node7(s154, s155))),
% 4.94/3.79 inference(rewrite,[status(thm)],[])).
% 4.94/3.79 tff(12663,plain,
% 4.94/3.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s154, s155)) | node7(s154, s155))),
% 4.94/3.79 inference(quant_inst,[status(thm)],[])).
% 4.94/3.79 tff(12664,plain,
% 4.94/3.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s154, s155)) | node7(s154, s155)),
% 4.94/3.79 inference(modus_ponens,[status(thm)],[12663, 12662])).
% 4.94/3.79 tff(12665,plain,
% 4.94/3.79 (node7(s154, s155)),
% 4.94/3.79 inference(unit_resolution,[status(thm)],[12664, 206, 12606])).
% 4.94/3.79 tff(12666,plain,
% 4.94/3.79 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s155, c_n1) | (~m_main_v_state1(s154, c_c1)) | node1(s154) | node2(s154) | node3(s154) | node4(s154) | node5(s154) | (~node7(s154, s155)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s155, c_n1) | (~m_main_v_state1(s154, c_c1)) | node1(s154) | node2(s154) | node3(s154) | node4(s154) | node5(s154) | (~node7(s154, s155)))),
% 4.94/3.79 inference(rewrite,[status(thm)],[])).
% 4.94/3.79 tff(12667,plain,
% 4.94/3.79 (((~m_main_v_state1(s154, c_c1)) | node1(s154) | node2(s154) | node3(s154) | node4(s154) | node5(s154) | (~node7(s154, s155)) | m_main_v_state1(s155, c_n1)) <=> (m_main_v_state1(s155, c_n1) | (~m_main_v_state1(s154, c_c1)) | node1(s154) | node2(s154) | node3(s154) | node4(s154) | node5(s154) | (~node7(s154, s155)))),
% 4.94/3.79 inference(rewrite,[status(thm)],[])).
% 4.94/3.79 tff(12668,plain,
% 4.94/3.79 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s154, c_c1)) | node1(s154) | node2(s154) | node3(s154) | node4(s154) | node5(s154) | (~node7(s154, s155)) | m_main_v_state1(s155, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s155, c_n1) | (~m_main_v_state1(s154, c_c1)) | node1(s154) | node2(s154) | node3(s154) | node4(s154) | node5(s154) | (~node7(s154, s155))))),
% 4.94/3.79 inference(monotonicity,[status(thm)],[12667])).
% 4.94/3.79 tff(12669,plain,
% 4.94/3.79 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s154, c_c1)) | node1(s154) | node2(s154) | node3(s154) | node4(s154) | node5(s154) | (~node7(s154, s155)) | m_main_v_state1(s155, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s155, c_n1) | (~m_main_v_state1(s154, c_c1)) | node1(s154) | node2(s154) | node3(s154) | node4(s154) | node5(s154) | (~node7(s154, s155)))),
% 4.94/3.79 inference(transitivity,[status(thm)],[12668, 12666])).
% 4.94/3.79 tff(12670,plain,
% 4.94/3.79 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s154, c_c1)) | node1(s154) | node2(s154) | node3(s154) | node4(s154) | node5(s154) | (~node7(s154, s155)) | m_main_v_state1(s155, c_n1))),
% 4.94/3.79 inference(quant_inst,[status(thm)],[])).
% 4.94/3.79 tff(12671,plain,
% 4.94/3.79 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s155, c_n1) | (~m_main_v_state1(s154, c_c1)) | node1(s154) | node2(s154) | node3(s154) | node4(s154) | node5(s154) | (~node7(s154, s155))),
% 4.94/3.79 inference(modus_ponens,[status(thm)],[12670, 12669])).
% 4.94/3.79 tff(12672,plain,
% 4.94/3.79 (m_main_v_state1(s155, c_n1) | (~m_main_v_state1(s154, c_c1)) | node1(s154) | node2(s154) | node3(s154) | node4(s154) | node5(s154)),
% 4.94/3.79 inference(unit_resolution,[status(thm)],[12671, 584, 12665])).
% 4.94/3.79 tff(12673,plain,
% 4.94/3.79 (m_main_v_state1(s155, c_n1)),
% 4.94/3.79 inference(unit_resolution,[status(thm)],[12672, 12661, 12591, 12657, 12653, 12649, 12645])).
% 4.94/3.79 tff(12674,plain,
% 4.94/3.79 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s155, c_n2) | (~node8(s155)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s155, c_n2) | (~node8(s155)))),
% 4.94/3.79 inference(rewrite,[status(thm)],[])).
% 4.94/3.79 tff(12675,plain,
% 4.94/3.79 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s155, c_n2) | (~node8(s155)))),
% 4.94/3.79 inference(quant_inst,[status(thm)],[])).
% 4.94/3.79 tff(12676,plain,
% 4.94/3.79 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s155, c_n2) | (~node8(s155))),
% 4.94/3.79 inference(modus_ponens,[status(thm)],[12675, 12674])).
% 4.94/3.79 tff(12677,plain,
% 4.94/3.79 (~node8(s155)),
% 4.94/3.79 inference(unit_resolution,[status(thm)],[12676, 271, 12622])).
% 4.94/3.79 tff(12678,plain,
% 4.94/3.79 (succ(s155, s156) <=> succ(s155, s156)),
% 4.94/3.79 inference(rewrite,[status(thm)],[])).
% 4.94/3.79 tff(12679,axiom,(succ(s155, s156)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound156')).
% 4.94/3.79 tff(12680,plain,
% 4.94/3.79 (succ(s155, s156)),
% 4.94/3.79 inference(modus_ponens,[status(thm)],[12679, 12678])).
% 4.94/3.79 tff(12681,plain,
% 4.94/3.79 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s155, s156)) | trans(s155, s156))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s155, s156)) | trans(s155, s156))),
% 4.94/3.79 inference(rewrite,[status(thm)],[])).
% 4.94/3.79 tff(12682,plain,
% 4.94/3.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s155, s156)) | trans(s155, s156))),
% 4.94/3.79 inference(quant_inst,[status(thm)],[])).
% 4.94/3.79 tff(12683,plain,
% 4.94/3.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s155, s156)) | trans(s155, s156)),
% 4.94/3.79 inference(modus_ponens,[status(thm)],[12682, 12681])).
% 4.94/3.79 tff(12684,plain,
% 4.94/3.79 (trans(s155, s156)),
% 4.94/3.79 inference(unit_resolution,[status(thm)],[12683, 12680, 32])).
% 4.94/3.79 tff(12685,plain,
% 4.94/3.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s155, s156)) | node14(s155, s156))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s155, s156)) | node14(s155, s156))),
% 4.94/3.79 inference(rewrite,[status(thm)],[])).
% 4.94/3.79 tff(12686,plain,
% 4.94/3.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s155, s156)) | node14(s155, s156))),
% 4.94/3.79 inference(quant_inst,[status(thm)],[])).
% 4.94/3.79 tff(12687,plain,
% 4.94/3.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s155, s156)) | node14(s155, s156)),
% 4.94/3.79 inference(modus_ponens,[status(thm)],[12686, 12685])).
% 4.94/3.79 tff(12688,plain,
% 4.94/3.79 (node14(s155, s156)),
% 4.94/3.79 inference(unit_resolution,[status(thm)],[12687, 46, 12684])).
% 4.94/3.79 tff(12689,plain,
% 4.94/3.79 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s155, c_n1)) | (~m_main_v_state2(s155, c_t2)) | node9(s155) | node8(s155) | node10(s155) | (~node14(s155, s156)) | m_main_v_state2(s156, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s155, c_n1)) | (~m_main_v_state2(s155, c_t2)) | node9(s155) | node8(s155) | node10(s155) | (~node14(s155, s156)) | m_main_v_state2(s156, c_c2))),
% 4.94/3.79 inference(rewrite,[status(thm)],[])).
% 4.94/3.79 tff(12690,plain,
% 4.94/3.79 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s155, c_n1)) | (~m_main_v_state2(s155, c_t2)) | node9(s155) | node8(s155) | node10(s155) | (~node14(s155, s156)) | m_main_v_state2(s156, c_c2))),
% 4.94/3.79 inference(quant_inst,[status(thm)],[])).
% 4.94/3.79 tff(12691,plain,
% 4.94/3.79 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s155, c_n1)) | (~m_main_v_state2(s155, c_t2)) | node9(s155) | node8(s155) | node10(s155) | (~node14(s155, s156)) | m_main_v_state2(s156, c_c2)),
% 4.94/3.79 inference(modus_ponens,[status(thm)],[12690, 12689])).
% 4.94/3.79 tff(12692,plain,
% 4.94/3.79 ((~m_main_v_state1(s155, c_n1)) | (~m_main_v_state2(s155, c_t2)) | node9(s155) | node8(s155) | node10(s155) | m_main_v_state2(s156, c_c2)),
% 4.94/3.79 inference(unit_resolution,[status(thm)],[12691, 617, 12688])).
% 4.94/3.79 tff(12693,plain,
% 4.94/3.79 (m_main_v_state2(s156, c_c2)),
% 4.94/3.79 inference(unit_resolution,[status(thm)],[12692, 12677, 12673, 12637, 12630, 12626])).
% 4.94/3.79 tff(12694,plain,
% 4.94/3.79 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s156, c_t2)) | (~m_main_v_state2(s156, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s156, c_t2)) | (~m_main_v_state2(s156, c_c2)))),
% 4.94/3.79 inference(rewrite,[status(thm)],[])).
% 4.94/3.79 tff(12695,plain,
% 4.94/3.79 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s156, c_t2)) | (~m_main_v_state2(s156, c_c2)))),
% 4.94/3.79 inference(quant_inst,[status(thm)],[])).
% 4.94/3.79 tff(12696,plain,
% 4.94/3.79 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s156, c_t2)) | (~m_main_v_state2(s156, c_c2))),
% 4.94/3.79 inference(modus_ponens,[status(thm)],[12695, 12694])).
% 4.94/3.79 tff(12697,plain,
% 4.94/3.79 (~m_main_v_state2(s156, c_t2)),
% 4.94/3.79 inference(unit_resolution,[status(thm)],[12696, 260, 12693])).
% 4.94/3.79 tff(12698,plain,
% 4.94/3.79 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s156, c_t2) | (~node12(s156)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s156, c_t2) | (~node12(s156)))),
% 4.94/3.79 inference(rewrite,[status(thm)],[])).
% 4.94/3.79 tff(12699,plain,
% 4.94/3.79 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s156, c_t2) | (~node12(s156)))),
% 4.94/3.79 inference(quant_inst,[status(thm)],[])).
% 4.94/3.79 tff(12700,plain,
% 4.94/3.79 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s156, c_t2) | (~node12(s156))),
% 4.94/3.79 inference(modus_ponens,[status(thm)],[12699, 12698])).
% 4.94/3.79 tff(12701,plain,
% 4.94/3.79 (~node12(s156)),
% 4.94/3.79 inference(unit_resolution,[status(thm)],[12700, 633, 12697])).
% 4.94/3.79 tff(12702,plain,
% 4.94/3.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s155, s156)) | node7(s155, s156))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s155, s156)) | node7(s155, s156))),
% 4.94/3.79 inference(rewrite,[status(thm)],[])).
% 4.94/3.79 tff(12703,plain,
% 4.94/3.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s155, s156)) | node7(s155, s156))),
% 4.94/3.79 inference(quant_inst,[status(thm)],[])).
% 4.94/3.79 tff(12704,plain,
% 4.94/3.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s155, s156)) | node7(s155, s156)),
% 4.94/3.79 inference(modus_ponens,[status(thm)],[12703, 12702])).
% 4.94/3.79 tff(12705,plain,
% 4.94/3.79 (node7(s155, s156)),
% 4.94/3.79 inference(unit_resolution,[status(thm)],[12704, 206, 12684])).
% 4.94/3.79 tff(12706,plain,
% 4.94/3.79 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s155, c_n1)) | (~m_main_v_state2(s155, c_t2)) | (~node7(s155, s156)) | m_main_v_state1(s156, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s155, c_n1)) | (~m_main_v_state2(s155, c_t2)) | (~node7(s155, s156)) | m_main_v_state1(s156, c_t1))),
% 4.94/3.79 inference(rewrite,[status(thm)],[])).
% 4.94/3.79 tff(12707,plain,
% 4.94/3.79 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s155, c_n1)) | (~m_main_v_state2(s155, c_t2)) | (~node7(s155, s156)) | m_main_v_state1(s156, c_t1))),
% 4.94/3.79 inference(quant_inst,[status(thm)],[])).
% 4.94/3.79 tff(12708,plain,
% 4.94/3.79 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s155, c_n1)) | (~m_main_v_state2(s155, c_t2)) | (~node7(s155, s156)) | m_main_v_state1(s156, c_t1)),
% 4.94/3.79 inference(modus_ponens,[status(thm)],[12707, 12706])).
% 4.94/3.79 tff(12709,plain,
% 4.94/3.79 ((~m_main_v_state1(s155, c_n1)) | (~m_main_v_state2(s155, c_t2)) | m_main_v_state1(s156, c_t1)),
% 4.94/3.79 inference(unit_resolution,[status(thm)],[12708, 651, 12705])).
% 4.94/3.79 tff(12710,plain,
% 4.94/3.79 (m_main_v_state1(s156, c_t1)),
% 4.94/3.79 inference(unit_resolution,[status(thm)],[12709, 12637, 12673])).
% 4.94/3.79 tff(12711,plain,
% 4.94/3.79 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s156, c_n1)) | (~m_main_v_state1(s156, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s156, c_n1)) | (~m_main_v_state1(s156, c_t1)))),
% 4.94/3.79 inference(rewrite,[status(thm)],[])).
% 4.94/3.79 tff(12712,plain,
% 4.94/3.79 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s156, c_n1)) | (~m_main_v_state1(s156, c_t1)))),
% 4.94/3.79 inference(quant_inst,[status(thm)],[])).
% 4.94/3.79 tff(12713,plain,
% 4.94/3.79 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s156, c_n1)) | (~m_main_v_state1(s156, c_t1))),
% 4.94/3.79 inference(modus_ponens,[status(thm)],[12712, 12711])).
% 4.94/3.79 tff(12714,plain,
% 4.94/3.79 (~m_main_v_state1(s156, c_n1)),
% 4.94/3.79 inference(unit_resolution,[status(thm)],[12713, 10, 12710])).
% 4.94/3.79 tff(12715,plain,
% 4.94/3.79 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s156, c_n1) | (~node11(s156)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s156, c_n1) | (~node11(s156)))),
% 4.94/3.79 inference(rewrite,[status(thm)],[])).
% 4.94/3.79 tff(12716,plain,
% 4.94/3.79 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s156, c_n1) | (~node11(s156)))),
% 4.94/3.79 inference(quant_inst,[status(thm)],[])).
% 4.94/3.79 tff(12717,plain,
% 4.94/3.79 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s156, c_n1) | (~node11(s156))),
% 4.94/3.79 inference(modus_ponens,[status(thm)],[12716, 12715])).
% 4.94/3.79 tff(12718,plain,
% 4.94/3.79 (~node11(s156)),
% 4.94/3.79 inference(unit_resolution,[status(thm)],[12717, 238, 12714])).
% 4.94/3.79 tff(12719,plain,
% 4.94/3.79 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s156, c_t1)) | (~m_main_v_state1(s156, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s156, c_t1)) | (~m_main_v_state1(s156, c_c1)))),
% 4.94/3.79 inference(rewrite,[status(thm)],[])).
% 4.94/3.79 tff(12720,plain,
% 4.94/3.79 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s156, c_t1)) | (~m_main_v_state1(s156, c_c1)))),
% 4.94/3.79 inference(quant_inst,[status(thm)],[])).
% 4.94/3.79 tff(12721,plain,
% 4.94/3.79 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s156, c_t1)) | (~m_main_v_state1(s156, c_c1))),
% 4.94/3.79 inference(modus_ponens,[status(thm)],[12720, 12719])).
% 4.94/3.79 tff(12722,plain,
% 4.94/3.79 (~m_main_v_state1(s156, c_c1)),
% 4.94/3.79 inference(unit_resolution,[status(thm)],[12721, 539, 12710])).
% 4.94/3.79 tff(12723,plain,
% 4.94/3.79 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s156, c_c1) | (~node10(s156)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s156, c_c1) | (~node10(s156)))),
% 4.94/3.79 inference(rewrite,[status(thm)],[])).
% 4.94/3.79 tff(12724,plain,
% 4.94/3.79 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s156, c_c1) | (~node10(s156)))),
% 4.94/3.79 inference(quant_inst,[status(thm)],[])).
% 4.94/3.79 tff(12725,plain,
% 4.94/3.79 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s156, c_c1) | (~node10(s156))),
% 4.94/3.79 inference(modus_ponens,[status(thm)],[12724, 12723])).
% 4.94/3.79 tff(12726,plain,
% 4.94/3.79 (~node10(s156)),
% 4.94/3.79 inference(unit_resolution,[status(thm)],[12725, 675, 12722])).
% 4.94/3.79 tff(12727,plain,
% 4.94/3.79 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s156, c_n1) | (~node9(s156)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s156, c_n1) | (~node9(s156)))),
% 4.94/3.79 inference(rewrite,[status(thm)],[])).
% 4.94/3.79 tff(12728,plain,
% 4.94/3.79 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s156, c_n1) | (~node9(s156)))),
% 4.94/3.79 inference(quant_inst,[status(thm)],[])).
% 4.94/3.79 tff(12729,plain,
% 4.94/3.79 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s156, c_n1) | (~node9(s156))),
% 4.94/3.79 inference(modus_ponens,[status(thm)],[12728, 12727])).
% 4.94/3.79 tff(12730,plain,
% 4.94/3.79 (~node9(s156)),
% 4.94/3.79 inference(unit_resolution,[status(thm)],[12729, 686, 12714])).
% 4.94/3.79 tff(12731,plain,
% 4.94/3.79 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s156, c_n2)) | (~m_main_v_state2(s156, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s156, c_n2)) | (~m_main_v_state2(s156, c_c2)))),
% 4.94/3.79 inference(rewrite,[status(thm)],[])).
% 4.94/3.79 tff(12732,plain,
% 4.94/3.79 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s156, c_n2)) | (~m_main_v_state2(s156, c_c2)))),
% 4.94/3.79 inference(quant_inst,[status(thm)],[])).
% 4.94/3.79 tff(12733,plain,
% 4.94/3.79 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s156, c_n2)) | (~m_main_v_state2(s156, c_c2))),
% 4.94/3.79 inference(modus_ponens,[status(thm)],[12732, 12731])).
% 4.94/3.79 tff(12734,plain,
% 4.94/3.79 (~m_main_v_state2(s156, c_n2)),
% 4.94/3.79 inference(unit_resolution,[status(thm)],[12733, 697, 12693])).
% 4.94/3.79 tff(12735,plain,
% 4.94/3.79 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s156, c_n2) | (~node8(s156)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s156, c_n2) | (~node8(s156)))),
% 4.94/3.79 inference(rewrite,[status(thm)],[])).
% 4.94/3.79 tff(12736,plain,
% 4.94/3.79 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s156, c_n2) | (~node8(s156)))),
% 4.94/3.79 inference(quant_inst,[status(thm)],[])).
% 4.94/3.79 tff(12737,plain,
% 4.94/3.79 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s156, c_n2) | (~node8(s156))),
% 4.94/3.79 inference(modus_ponens,[status(thm)],[12736, 12735])).
% 4.94/3.79 tff(12738,plain,
% 4.94/3.79 (~node8(s156)),
% 4.94/3.79 inference(unit_resolution,[status(thm)],[12737, 271, 12734])).
% 4.94/3.79 tff(12739,plain,
% 4.94/3.79 (succ(s156, s157) <=> succ(s156, s157)),
% 4.94/3.79 inference(rewrite,[status(thm)],[])).
% 4.94/3.79 tff(12740,axiom,(succ(s156, s157)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound157')).
% 4.94/3.79 tff(12741,plain,
% 4.94/3.79 (succ(s156, s157)),
% 4.94/3.79 inference(modus_ponens,[status(thm)],[12740, 12739])).
% 4.94/3.79 tff(12742,plain,
% 4.94/3.79 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s156, s157)) | trans(s156, s157))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s156, s157)) | trans(s156, s157))),
% 4.94/3.79 inference(rewrite,[status(thm)],[])).
% 4.94/3.79 tff(12743,plain,
% 4.94/3.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s156, s157)) | trans(s156, s157))),
% 4.94/3.79 inference(quant_inst,[status(thm)],[])).
% 4.94/3.79 tff(12744,plain,
% 4.94/3.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s156, s157)) | trans(s156, s157)),
% 4.94/3.79 inference(modus_ponens,[status(thm)],[12743, 12742])).
% 4.94/3.79 tff(12745,plain,
% 4.94/3.79 (trans(s156, s157)),
% 4.94/3.79 inference(unit_resolution,[status(thm)],[12744, 12741, 32])).
% 4.94/3.79 tff(12746,plain,
% 4.94/3.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s156, s157)) | node14(s156, s157))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s156, s157)) | node14(s156, s157))),
% 4.94/3.79 inference(rewrite,[status(thm)],[])).
% 4.94/3.79 tff(12747,plain,
% 4.94/3.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s156, s157)) | node14(s156, s157))),
% 4.94/3.79 inference(quant_inst,[status(thm)],[])).
% 4.94/3.79 tff(12748,plain,
% 4.94/3.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s156, s157)) | node14(s156, s157)),
% 4.94/3.79 inference(modus_ponens,[status(thm)],[12747, 12746])).
% 4.94/3.79 tff(12749,plain,
% 4.94/3.79 (node14(s156, s157)),
% 4.94/3.80 inference(unit_resolution,[status(thm)],[12748, 46, 12745])).
% 4.94/3.80 tff(12750,plain,
% 4.94/3.80 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s157, c_n2) | node9(s156) | node8(s156) | node10(s156) | node11(s156) | node12(s156) | (~node14(s156, s157)) | (~m_main_v_state2(s156, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s157, c_n2) | node9(s156) | node8(s156) | node10(s156) | node11(s156) | node12(s156) | (~node14(s156, s157)) | (~m_main_v_state2(s156, c_c2)))),
% 4.94/3.80 inference(rewrite,[status(thm)],[])).
% 4.94/3.80 tff(12751,plain,
% 4.94/3.80 (((~m_main_v_state2(s156, c_c2)) | node9(s156) | node8(s156) | node10(s156) | node11(s156) | node12(s156) | (~node14(s156, s157)) | m_main_v_state2(s157, c_n2)) <=> (m_main_v_state2(s157, c_n2) | node9(s156) | node8(s156) | node10(s156) | node11(s156) | node12(s156) | (~node14(s156, s157)) | (~m_main_v_state2(s156, c_c2)))),
% 4.94/3.80 inference(rewrite,[status(thm)],[])).
% 4.94/3.80 tff(12752,plain,
% 4.94/3.80 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s156, c_c2)) | node9(s156) | node8(s156) | node10(s156) | node11(s156) | node12(s156) | (~node14(s156, s157)) | m_main_v_state2(s157, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s157, c_n2) | node9(s156) | node8(s156) | node10(s156) | node11(s156) | node12(s156) | (~node14(s156, s157)) | (~m_main_v_state2(s156, c_c2))))),
% 4.94/3.80 inference(monotonicity,[status(thm)],[12751])).
% 4.94/3.80 tff(12753,plain,
% 4.94/3.80 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s156, c_c2)) | node9(s156) | node8(s156) | node10(s156) | node11(s156) | node12(s156) | (~node14(s156, s157)) | m_main_v_state2(s157, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s157, c_n2) | node9(s156) | node8(s156) | node10(s156) | node11(s156) | node12(s156) | (~node14(s156, s157)) | (~m_main_v_state2(s156, c_c2)))),
% 4.94/3.80 inference(transitivity,[status(thm)],[12752, 12750])).
% 4.94/3.80 tff(12754,plain,
% 4.94/3.80 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s156, c_c2)) | node9(s156) | node8(s156) | node10(s156) | node11(s156) | node12(s156) | (~node14(s156, s157)) | m_main_v_state2(s157, c_n2))),
% 4.94/3.80 inference(quant_inst,[status(thm)],[])).
% 4.94/3.80 tff(12755,plain,
% 4.94/3.80 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s157, c_n2) | node9(s156) | node8(s156) | node10(s156) | node11(s156) | node12(s156) | (~node14(s156, s157)) | (~m_main_v_state2(s156, c_c2))),
% 4.94/3.80 inference(modus_ponens,[status(thm)],[12754, 12753])).
% 4.94/3.80 tff(12756,plain,
% 4.94/3.80 (m_main_v_state2(s157, c_n2) | node9(s156) | node8(s156) | node10(s156) | node11(s156) | node12(s156) | (~m_main_v_state2(s156, c_c2))),
% 4.94/3.80 inference(unit_resolution,[status(thm)],[12755, 726, 12749])).
% 4.94/3.80 tff(12757,plain,
% 4.94/3.80 (m_main_v_state2(s157, c_n2)),
% 4.94/3.80 inference(unit_resolution,[status(thm)],[12756, 12738, 12693, 12730, 12726, 12718, 12701])).
% 4.94/3.80 tff(12758,plain,
% 4.94/3.80 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s157, c_n2)) | (~m_main_v_state2(s157, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s157, c_n2)) | (~m_main_v_state2(s157, c_c2)))),
% 4.94/3.80 inference(rewrite,[status(thm)],[])).
% 4.94/3.80 tff(12759,plain,
% 4.94/3.80 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s157, c_n2)) | (~m_main_v_state2(s157, c_c2)))),
% 4.94/3.80 inference(quant_inst,[status(thm)],[])).
% 4.94/3.80 tff(12760,plain,
% 4.94/3.80 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s157, c_n2)) | (~m_main_v_state2(s157, c_c2))),
% 4.94/3.80 inference(modus_ponens,[status(thm)],[12759, 12758])).
% 4.94/3.80 tff(12761,plain,
% 4.94/3.80 (~m_main_v_state2(s157, c_c2)),
% 4.94/3.80 inference(unit_resolution,[status(thm)],[12760, 697, 12757])).
% 4.94/3.80 tff(12762,plain,
% 4.94/3.80 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s157, c_c2) | (~node3(s157)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s157, c_c2) | (~node3(s157)))),
% 4.94/3.80 inference(rewrite,[status(thm)],[])).
% 4.94/3.80 tff(12763,plain,
% 4.94/3.80 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s157, c_c2) | (~node3(s157)))),
% 4.94/3.80 inference(quant_inst,[status(thm)],[])).
% 4.94/3.80 tff(12764,plain,
% 4.94/3.80 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s157, c_c2) | (~node3(s157))),
% 4.94/3.80 inference(modus_ponens,[status(thm)],[12763, 12762])).
% 4.94/3.80 tff(12765,plain,
% 4.94/3.80 (~node3(s157)),
% 4.94/3.80 inference(unit_resolution,[status(thm)],[12764, 399, 12761])).
% 4.94/3.80 tff(12766,plain,
% 4.94/3.80 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s156, c_n1) | (~node1(s156)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s156, c_n1) | (~node1(s156)))),
% 4.94/3.80 inference(rewrite,[status(thm)],[])).
% 4.94/3.80 tff(12767,plain,
% 4.94/3.80 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s156, c_n1) | (~node1(s156)))),
% 4.94/3.80 inference(quant_inst,[status(thm)],[])).
% 4.94/3.80 tff(12768,plain,
% 4.94/3.80 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s156, c_n1) | (~node1(s156))),
% 4.94/3.80 inference(modus_ponens,[status(thm)],[12767, 12766])).
% 4.94/3.80 tff(12769,plain,
% 4.94/3.80 (~node1(s156)),
% 4.94/3.80 inference(unit_resolution,[status(thm)],[12768, 421, 12714])).
% 4.94/3.80 tff(12770,plain,
% 4.94/3.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s155, s156)) | node18(s155, s156))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s155, s156)) | node18(s155, s156))),
% 4.94/3.80 inference(rewrite,[status(thm)],[])).
% 4.94/3.80 tff(12771,plain,
% 4.94/3.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s155, s156)) | node18(s155, s156))),
% 4.94/3.80 inference(quant_inst,[status(thm)],[])).
% 4.94/3.80 tff(12772,plain,
% 4.94/3.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s155, s156)) | node18(s155, s156)),
% 4.94/3.80 inference(modus_ponens,[status(thm)],[12771, 12770])).
% 4.94/3.80 tff(12773,plain,
% 4.94/3.80 (node18(s155, s156)),
% 4.94/3.80 inference(unit_resolution,[status(thm)],[12772, 125, 12684])).
% 4.94/3.80 tff(12774,plain,
% 4.94/3.80 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s155, c_n1)) | (~m_main_v_state2(s155, c_t2)) | (~node18(s155, s156)) | m_main_v_turn(s156, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s155, c_n1)) | (~m_main_v_state2(s155, c_t2)) | (~node18(s155, s156)) | m_main_v_turn(s156, c_2))),
% 4.94/3.80 inference(rewrite,[status(thm)],[])).
% 4.94/3.80 tff(12775,plain,
% 4.94/3.80 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s155, c_n1)) | (~m_main_v_state2(s155, c_t2)) | (~node18(s155, s156)) | m_main_v_turn(s156, c_2))),
% 4.94/3.80 inference(quant_inst,[status(thm)],[])).
% 4.94/3.80 tff(12776,plain,
% 4.94/3.80 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s155, c_n1)) | (~m_main_v_state2(s155, c_t2)) | (~node18(s155, s156)) | m_main_v_turn(s156, c_2)),
% 4.94/3.80 inference(modus_ponens,[status(thm)],[12775, 12774])).
% 4.94/3.80 tff(12777,plain,
% 4.94/3.80 ((~m_main_v_state1(s155, c_n1)) | (~m_main_v_state2(s155, c_t2)) | m_main_v_turn(s156, c_2)),
% 4.94/3.80 inference(unit_resolution,[status(thm)],[12776, 760, 12773])).
% 4.94/3.80 tff(12778,plain,
% 4.94/3.80 (m_main_v_turn(s156, c_2)),
% 4.94/3.80 inference(unit_resolution,[status(thm)],[12777, 12637, 12673])).
% 4.94/3.80 tff(12779,plain,
% 4.94/3.80 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s156, c_1)) | (~m_main_v_turn(s156, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s156, c_1)) | (~m_main_v_turn(s156, c_2)))),
% 4.94/3.80 inference(rewrite,[status(thm)],[])).
% 4.94/3.80 tff(12780,plain,
% 4.94/3.80 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s156, c_1)) | (~m_main_v_turn(s156, c_2)))),
% 4.94/3.80 inference(quant_inst,[status(thm)],[])).
% 4.94/3.80 tff(12781,plain,
% 4.94/3.80 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s156, c_1)) | (~m_main_v_turn(s156, c_2))),
% 4.94/3.80 inference(modus_ponens,[status(thm)],[12780, 12779])).
% 4.94/3.80 tff(12782,plain,
% 4.94/3.80 (~m_main_v_turn(s156, c_1)),
% 4.94/3.80 inference(unit_resolution,[status(thm)],[12781, 156, 12778])).
% 4.94/3.80 tff(12783,plain,
% 4.94/3.80 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s156, c_1) | (~node5(s156)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s156, c_1) | (~node5(s156)))),
% 4.94/3.80 inference(rewrite,[status(thm)],[])).
% 4.94/3.80 tff(12784,plain,
% 4.94/3.80 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s156, c_1) | (~node5(s156)))),
% 4.94/3.80 inference(quant_inst,[status(thm)],[])).
% 4.94/3.80 tff(12785,plain,
% 4.94/3.80 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s156, c_1) | (~node5(s156))),
% 4.94/3.80 inference(modus_ponens,[status(thm)],[12784, 12783])).
% 4.94/3.80 tff(12786,plain,
% 4.94/3.80 (~node5(s156)),
% 4.94/3.80 inference(unit_resolution,[status(thm)],[12785, 776, 12782])).
% 4.94/3.80 tff(12787,plain,
% 4.94/3.80 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s156, c_n1) | (~node2(s156)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s156, c_n1) | (~node2(s156)))),
% 4.94/3.80 inference(rewrite,[status(thm)],[])).
% 4.94/3.80 tff(12788,plain,
% 4.94/3.80 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s156, c_n1) | (~node2(s156)))),
% 4.94/3.80 inference(quant_inst,[status(thm)],[])).
% 4.94/3.80 tff(12789,plain,
% 4.94/3.80 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s156, c_n1) | (~node2(s156))),
% 4.94/3.80 inference(modus_ponens,[status(thm)],[12788, 12787])).
% 4.94/3.80 tff(12790,plain,
% 4.94/3.80 (~node2(s156)),
% 4.94/3.80 inference(unit_resolution,[status(thm)],[12789, 787, 12714])).
% 4.94/3.80 tff(12791,plain,
% 4.94/3.80 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s156, c_n1) | (~node3(s156)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s156, c_n1) | (~node3(s156)))),
% 4.94/3.80 inference(rewrite,[status(thm)],[])).
% 4.94/3.80 tff(12792,plain,
% 4.94/3.80 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s156, c_n1) | (~node3(s156)))),
% 4.94/3.80 inference(quant_inst,[status(thm)],[])).
% 4.94/3.80 tff(12793,plain,
% 4.94/3.80 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s156, c_n1) | (~node3(s156))),
% 4.94/3.80 inference(modus_ponens,[status(thm)],[12792, 12791])).
% 4.94/3.80 tff(12794,plain,
% 4.94/3.80 (~node3(s156)),
% 4.94/3.80 inference(unit_resolution,[status(thm)],[12793, 798, 12714])).
% 4.94/3.80 tff(12795,plain,
% 4.94/3.80 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s156, c_n2) | (~node4(s156)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s156, c_n2) | (~node4(s156)))),
% 4.94/3.80 inference(rewrite,[status(thm)],[])).
% 4.94/3.80 tff(12796,plain,
% 4.94/3.80 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s156, c_n2) | (~node4(s156)))),
% 4.94/3.80 inference(quant_inst,[status(thm)],[])).
% 4.94/3.80 tff(12797,plain,
% 4.94/3.80 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s156, c_n2) | (~node4(s156))),
% 4.94/3.80 inference(modus_ponens,[status(thm)],[12796, 12795])).
% 4.94/3.80 tff(12798,plain,
% 4.94/3.80 (~node4(s156)),
% 4.94/3.80 inference(unit_resolution,[status(thm)],[12797, 388, 12734])).
% 4.94/3.80 tff(12799,plain,
% 4.94/3.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s156, s157)) | node7(s156, s157))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s156, s157)) | node7(s156, s157))),
% 4.94/3.80 inference(rewrite,[status(thm)],[])).
% 4.94/3.80 tff(12800,plain,
% 4.94/3.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s156, s157)) | node7(s156, s157))),
% 4.94/3.80 inference(quant_inst,[status(thm)],[])).
% 4.94/3.80 tff(12801,plain,
% 4.94/3.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s156, s157)) | node7(s156, s157)),
% 4.94/3.80 inference(modus_ponens,[status(thm)],[12800, 12799])).
% 4.94/3.80 tff(12802,plain,
% 4.94/3.80 (node7(s156, s157)),
% 4.94/3.80 inference(unit_resolution,[status(thm)],[12801, 206, 12745])).
% 4.94/3.80 tff(12803,plain,
% 4.94/3.80 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s156, c_c1) | node1(s156) | node2(s156) | node3(s156) | node4(s156) | node5(s156) | node6(s156, s157) | (~node7(s156, s157)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s156, c_c1) | node1(s156) | node2(s156) | node3(s156) | node4(s156) | node5(s156) | node6(s156, s157) | (~node7(s156, s157)))),
% 4.94/3.80 inference(rewrite,[status(thm)],[])).
% 4.94/3.80 tff(12804,plain,
% 4.94/3.80 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s156, c_c1) | node1(s156) | node2(s156) | node3(s156) | node4(s156) | node5(s156) | node6(s156, s157) | (~node7(s156, s157)))),
% 4.94/3.80 inference(quant_inst,[status(thm)],[])).
% 4.94/3.80 tff(12805,plain,
% 4.94/3.80 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s156, c_c1) | node1(s156) | node2(s156) | node3(s156) | node4(s156) | node5(s156) | node6(s156, s157) | (~node7(s156, s157))),
% 4.94/3.80 inference(modus_ponens,[status(thm)],[12804, 12803])).
% 4.94/3.80 tff(12806,plain,
% 4.94/3.80 (m_main_v_state1(s156, c_c1) | node1(s156) | node2(s156) | node3(s156) | node4(s156) | node5(s156) | node6(s156, s157)),
% 4.94/3.80 inference(unit_resolution,[status(thm)],[12805, 820, 12802])).
% 4.94/3.80 tff(12807,plain,
% 4.94/3.80 (node6(s156, s157)),
% 4.94/3.80 inference(unit_resolution,[status(thm)],[12806, 12798, 12722, 12794, 12790, 12786, 12769])).
% 4.94/3.80 tff(12808,plain,
% 4.94/3.80 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s156, c_n1) | (~m_main_v_state1(s157, c_n1)) | (~node6(s156, s157)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s156, c_n1) | (~m_main_v_state1(s157, c_n1)) | (~node6(s156, s157)))),
% 4.94/3.80 inference(rewrite,[status(thm)],[])).
% 4.94/3.80 tff(12809,plain,
% 4.94/3.80 (((~node6(s156, s157)) | m_main_v_state1(s156, c_n1) | (~m_main_v_state1(s157, c_n1))) <=> (m_main_v_state1(s156, c_n1) | (~m_main_v_state1(s157, c_n1)) | (~node6(s156, s157)))),
% 4.94/3.80 inference(rewrite,[status(thm)],[])).
% 4.94/3.80 tff(12810,plain,
% 4.94/3.80 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s156, s157)) | m_main_v_state1(s156, c_n1) | (~m_main_v_state1(s157, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s156, c_n1) | (~m_main_v_state1(s157, c_n1)) | (~node6(s156, s157))))),
% 4.94/3.80 inference(monotonicity,[status(thm)],[12809])).
% 4.94/3.80 tff(12811,plain,
% 4.94/3.80 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s156, s157)) | m_main_v_state1(s156, c_n1) | (~m_main_v_state1(s157, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s156, c_n1) | (~m_main_v_state1(s157, c_n1)) | (~node6(s156, s157)))),
% 4.94/3.80 inference(transitivity,[status(thm)],[12810, 12808])).
% 4.94/3.80 tff(12812,plain,
% 4.94/3.80 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s156, s157)) | m_main_v_state1(s156, c_n1) | (~m_main_v_state1(s157, c_n1)))),
% 4.94/3.80 inference(quant_inst,[status(thm)],[])).
% 4.94/3.80 tff(12813,plain,
% 4.94/3.80 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s156, c_n1) | (~m_main_v_state1(s157, c_n1)) | (~node6(s156, s157))),
% 4.94/3.80 inference(modus_ponens,[status(thm)],[12812, 12811])).
% 4.94/3.80 tff(12814,plain,
% 4.94/3.80 (~m_main_v_state1(s157, c_n1)),
% 4.94/3.80 inference(unit_resolution,[status(thm)],[12813, 835, 12714, 12807])).
% 4.94/3.80 tff(12815,plain,
% 4.94/3.80 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s157, c_n1) | (~node2(s157)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s157, c_n1) | (~node2(s157)))),
% 4.94/3.80 inference(rewrite,[status(thm)],[])).
% 4.94/3.80 tff(12816,plain,
% 4.94/3.80 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s157, c_n1) | (~node2(s157)))),
% 4.94/3.80 inference(quant_inst,[status(thm)],[])).
% 4.94/3.80 tff(12817,plain,
% 4.94/3.80 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s157, c_n1) | (~node2(s157))),
% 4.94/3.80 inference(modus_ponens,[status(thm)],[12816, 12815])).
% 4.94/3.80 tff(12818,plain,
% 4.94/3.80 (~node2(s157)),
% 4.94/3.80 inference(unit_resolution,[status(thm)],[12817, 787, 12814])).
% 4.94/3.80 tff(12819,plain,
% 4.94/3.80 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s156, c_t1)) | m_main_v_state1(s157, c_t1) | (~node6(s156, s157)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s156, c_t1)) | m_main_v_state1(s157, c_t1) | (~node6(s156, s157)))),
% 4.94/3.80 inference(rewrite,[status(thm)],[])).
% 4.94/3.80 tff(12820,plain,
% 4.94/3.80 (((~node6(s156, s157)) | (~m_main_v_state1(s156, c_t1)) | m_main_v_state1(s157, c_t1)) <=> ((~m_main_v_state1(s156, c_t1)) | m_main_v_state1(s157, c_t1) | (~node6(s156, s157)))),
% 4.94/3.80 inference(rewrite,[status(thm)],[])).
% 4.94/3.80 tff(12821,plain,
% 4.94/3.80 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s156, s157)) | (~m_main_v_state1(s156, c_t1)) | m_main_v_state1(s157, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s156, c_t1)) | m_main_v_state1(s157, c_t1) | (~node6(s156, s157))))),
% 4.94/3.80 inference(monotonicity,[status(thm)],[12820])).
% 4.94/3.80 tff(12822,plain,
% 4.94/3.80 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s156, s157)) | (~m_main_v_state1(s156, c_t1)) | m_main_v_state1(s157, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s156, c_t1)) | m_main_v_state1(s157, c_t1) | (~node6(s156, s157)))),
% 4.94/3.80 inference(transitivity,[status(thm)],[12821, 12819])).
% 4.94/3.80 tff(12823,plain,
% 4.94/3.80 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s156, s157)) | (~m_main_v_state1(s156, c_t1)) | m_main_v_state1(s157, c_t1))),
% 4.94/3.80 inference(quant_inst,[status(thm)],[])).
% 4.94/3.80 tff(12824,plain,
% 4.94/3.80 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s156, c_t1)) | m_main_v_state1(s157, c_t1) | (~node6(s156, s157))),
% 4.94/3.80 inference(modus_ponens,[status(thm)],[12823, 12822])).
% 4.94/3.80 tff(12825,plain,
% 4.94/3.80 (m_main_v_state1(s157, c_t1)),
% 4.94/3.80 inference(unit_resolution,[status(thm)],[12824, 856, 12710, 12807])).
% 4.94/3.80 tff(12826,plain,
% 4.94/3.80 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s157, c_n2)) | (~m_main_v_state2(s157, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s157, c_n2)) | (~m_main_v_state2(s157, c_t2)))),
% 4.94/3.80 inference(rewrite,[status(thm)],[])).
% 4.94/3.80 tff(12827,plain,
% 4.94/3.80 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s157, c_n2)) | (~m_main_v_state2(s157, c_t2)))),
% 4.94/3.80 inference(quant_inst,[status(thm)],[])).
% 4.94/3.80 tff(12828,plain,
% 4.94/3.80 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s157, c_n2)) | (~m_main_v_state2(s157, c_t2))),
% 4.94/3.80 inference(modus_ponens,[status(thm)],[12827, 12826])).
% 4.94/3.80 tff(12829,plain,
% 4.94/3.80 (~m_main_v_state2(s157, c_t2)),
% 4.94/3.80 inference(unit_resolution,[status(thm)],[12828, 77, 12757])).
% 4.94/3.80 tff(12830,plain,
% 4.94/3.80 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s157, c_t2) | (~node1(s157)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s157, c_t2) | (~node1(s157)))),
% 4.94/3.80 inference(rewrite,[status(thm)],[])).
% 4.94/3.80 tff(12831,plain,
% 4.94/3.80 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s157, c_t2) | (~node1(s157)))),
% 4.94/3.80 inference(quant_inst,[status(thm)],[])).
% 4.94/3.80 tff(12832,plain,
% 4.94/3.80 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s157, c_t2) | (~node1(s157))),
% 4.94/3.80 inference(modus_ponens,[status(thm)],[12831, 12830])).
% 4.94/3.80 tff(12833,plain,
% 4.94/3.80 (~node1(s157)),
% 4.94/3.80 inference(unit_resolution,[status(thm)],[12832, 195, 12829])).
% 4.94/3.80 tff(12834,plain,
% 4.94/3.80 (succ(s157, s158) <=> succ(s157, s158)),
% 4.94/3.80 inference(rewrite,[status(thm)],[])).
% 4.94/3.80 tff(12835,axiom,(succ(s157, s158)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound158')).
% 4.94/3.80 tff(12836,plain,
% 4.94/3.80 (succ(s157, s158)),
% 4.94/3.80 inference(modus_ponens,[status(thm)],[12835, 12834])).
% 4.94/3.80 tff(12837,plain,
% 4.94/3.80 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s157, s158)) | trans(s157, s158))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s157, s158)) | trans(s157, s158))),
% 4.94/3.80 inference(rewrite,[status(thm)],[])).
% 4.94/3.80 tff(12838,plain,
% 4.94/3.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s157, s158)) | trans(s157, s158))),
% 4.94/3.80 inference(quant_inst,[status(thm)],[])).
% 4.94/3.80 tff(12839,plain,
% 4.94/3.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s157, s158)) | trans(s157, s158)),
% 4.94/3.80 inference(modus_ponens,[status(thm)],[12838, 12837])).
% 4.94/3.80 tff(12840,plain,
% 4.94/3.80 (trans(s157, s158)),
% 4.94/3.80 inference(unit_resolution,[status(thm)],[12839, 12836, 32])).
% 4.94/3.80 tff(12841,plain,
% 4.94/3.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s157, s158)) | node7(s157, s158))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s157, s158)) | node7(s157, s158))),
% 4.94/3.80 inference(rewrite,[status(thm)],[])).
% 4.94/3.80 tff(12842,plain,
% 4.94/3.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s157, s158)) | node7(s157, s158))),
% 4.94/3.80 inference(quant_inst,[status(thm)],[])).
% 4.94/3.80 tff(12843,plain,
% 4.94/3.80 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s157, s158)) | node7(s157, s158)),
% 4.94/3.80 inference(modus_ponens,[status(thm)],[12842, 12841])).
% 4.94/3.80 tff(12844,plain,
% 4.94/3.80 (node7(s157, s158)),
% 4.94/3.80 inference(unit_resolution,[status(thm)],[12843, 206, 12840])).
% 4.94/3.80 tff(12845,plain,
% 4.94/3.80 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s157, c_t1)) | (~m_main_v_state2(s157, c_n2)) | m_main_v_state1(s158, c_c1) | node1(s157) | node2(s157) | node3(s157) | (~node7(s157, s158)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s157, c_t1)) | (~m_main_v_state2(s157, c_n2)) | m_main_v_state1(s158, c_c1) | node1(s157) | node2(s157) | node3(s157) | (~node7(s157, s158)))),
% 4.94/3.80 inference(rewrite,[status(thm)],[])).
% 4.94/3.80 tff(12846,plain,
% 4.94/3.80 (((~m_main_v_state1(s157, c_t1)) | (~m_main_v_state2(s157, c_n2)) | node1(s157) | node2(s157) | node3(s157) | (~node7(s157, s158)) | m_main_v_state1(s158, c_c1)) <=> ((~m_main_v_state1(s157, c_t1)) | (~m_main_v_state2(s157, c_n2)) | m_main_v_state1(s158, c_c1) | node1(s157) | node2(s157) | node3(s157) | (~node7(s157, s158)))),
% 4.94/3.80 inference(rewrite,[status(thm)],[])).
% 4.94/3.80 tff(12847,plain,
% 4.94/3.80 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s157, c_t1)) | (~m_main_v_state2(s157, c_n2)) | node1(s157) | node2(s157) | node3(s157) | (~node7(s157, s158)) | m_main_v_state1(s158, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s157, c_t1)) | (~m_main_v_state2(s157, c_n2)) | m_main_v_state1(s158, c_c1) | node1(s157) | node2(s157) | node3(s157) | (~node7(s157, s158))))),
% 4.94/3.80 inference(monotonicity,[status(thm)],[12846])).
% 4.94/3.80 tff(12848,plain,
% 4.94/3.80 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s157, c_t1)) | (~m_main_v_state2(s157, c_n2)) | node1(s157) | node2(s157) | node3(s157) | (~node7(s157, s158)) | m_main_v_state1(s158, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s157, c_t1)) | (~m_main_v_state2(s157, c_n2)) | m_main_v_state1(s158, c_c1) | node1(s157) | node2(s157) | node3(s157) | (~node7(s157, s158)))),
% 4.94/3.80 inference(transitivity,[status(thm)],[12847, 12845])).
% 4.94/3.80 tff(12849,plain,
% 4.94/3.80 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s157, c_t1)) | (~m_main_v_state2(s157, c_n2)) | node1(s157) | node2(s157) | node3(s157) | (~node7(s157, s158)) | m_main_v_state1(s158, c_c1))),
% 4.94/3.80 inference(quant_inst,[status(thm)],[])).
% 4.94/3.80 tff(12850,plain,
% 4.94/3.80 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s157, c_t1)) | (~m_main_v_state2(s157, c_n2)) | m_main_v_state1(s158, c_c1) | node1(s157) | node2(s157) | node3(s157) | (~node7(s157, s158))),
% 4.94/3.80 inference(modus_ponens,[status(thm)],[12849, 12848])).
% 4.94/3.80 tff(12851,plain,
% 4.94/3.80 ((~m_main_v_state1(s157, c_t1)) | (~m_main_v_state2(s157, c_n2)) | m_main_v_state1(s158, c_c1) | node1(s157) | node2(s157) | node3(s157)),
% 4.94/3.80 inference(unit_resolution,[status(thm)],[12850, 892, 12844])).
% 4.94/3.80 tff(12852,plain,
% 4.94/3.80 (m_main_v_state1(s158, c_c1)),
% 4.94/3.80 inference(unit_resolution,[status(thm)],[12851, 12833, 12757, 12825, 12818, 12765])).
% 4.94/3.80 tff(12853,plain,
% 4.94/3.80 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s158, c_t1)) | (~m_main_v_state1(s158, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s158, c_t1)) | (~m_main_v_state1(s158, c_c1)))),
% 4.94/3.80 inference(rewrite,[status(thm)],[])).
% 4.94/3.80 tff(12854,plain,
% 4.94/3.80 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s158, c_t1)) | (~m_main_v_state1(s158, c_c1)))),
% 4.94/3.80 inference(quant_inst,[status(thm)],[])).
% 4.94/3.80 tff(12855,plain,
% 4.94/3.80 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s158, c_t1)) | (~m_main_v_state1(s158, c_c1))),
% 4.94/3.80 inference(modus_ponens,[status(thm)],[12854, 12853])).
% 4.94/3.80 tff(12856,plain,
% 4.94/3.80 (~m_main_v_state1(s158, c_t1)),
% 4.94/3.80 inference(unit_resolution,[status(thm)],[12855, 539, 12852])).
% 4.94/3.80 tff(12857,plain,
% 4.94/3.80 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s158, c_t1) | (~node5(s158)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s158, c_t1) | (~node5(s158)))),
% 4.94/3.80 inference(rewrite,[status(thm)],[])).
% 4.94/3.80 tff(12858,plain,
% 4.94/3.80 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s158, c_t1) | (~node5(s158)))),
% 4.94/3.80 inference(quant_inst,[status(thm)],[])).
% 4.94/3.80 tff(12859,plain,
% 4.94/3.80 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s158, c_t1) | (~node5(s158))),
% 4.94/3.80 inference(modus_ponens,[status(thm)],[12858, 12857])).
% 4.94/3.80 tff(12860,plain,
% 4.94/3.80 (~node5(s158)),
% 4.94/3.80 inference(unit_resolution,[status(thm)],[12859, 550, 12856])).
% 4.94/3.80 tff(12861,plain,
% 4.94/3.80 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s157, s158)) | node14(s157, s158))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s157, s158)) | node14(s157, s158))),
% 4.94/3.81 inference(rewrite,[status(thm)],[])).
% 4.94/3.81 tff(12862,plain,
% 4.94/3.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s157, s158)) | node14(s157, s158))),
% 4.94/3.81 inference(quant_inst,[status(thm)],[])).
% 4.94/3.81 tff(12863,plain,
% 4.94/3.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s157, s158)) | node14(s157, s158)),
% 4.94/3.81 inference(modus_ponens,[status(thm)],[12862, 12861])).
% 4.94/3.81 tff(12864,plain,
% 4.94/3.81 (node14(s157, s158)),
% 4.94/3.81 inference(unit_resolution,[status(thm)],[12863, 46, 12840])).
% 4.94/3.81 tff(12865,plain,
% 4.94/3.81 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s157, c_t1)) | (~m_main_v_state2(s157, c_n2)) | (~node14(s157, s158)) | m_main_v_state2(s158, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s157, c_t1)) | (~m_main_v_state2(s157, c_n2)) | (~node14(s157, s158)) | m_main_v_state2(s158, c_t2))),
% 4.94/3.81 inference(rewrite,[status(thm)],[])).
% 4.94/3.81 tff(12866,plain,
% 4.94/3.81 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s157, c_t1)) | (~m_main_v_state2(s157, c_n2)) | (~node14(s157, s158)) | m_main_v_state2(s158, c_t2))),
% 4.94/3.81 inference(quant_inst,[status(thm)],[])).
% 4.94/3.81 tff(12867,plain,
% 4.94/3.81 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s157, c_t1)) | (~m_main_v_state2(s157, c_n2)) | (~node14(s157, s158)) | m_main_v_state2(s158, c_t2)),
% 4.94/3.81 inference(modus_ponens,[status(thm)],[12866, 12865])).
% 4.94/3.81 tff(12868,plain,
% 4.94/3.81 ((~m_main_v_state1(s157, c_t1)) | (~m_main_v_state2(s157, c_n2)) | m_main_v_state2(s158, c_t2)),
% 4.94/3.81 inference(unit_resolution,[status(thm)],[12867, 922, 12864])).
% 4.94/3.81 tff(12869,plain,
% 4.94/3.81 (m_main_v_state2(s158, c_t2)),
% 4.94/3.81 inference(unit_resolution,[status(thm)],[12868, 12825, 12757])).
% 4.94/3.81 tff(12870,plain,
% 4.94/3.81 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s158, c_n2)) | (~m_main_v_state2(s158, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s158, c_n2)) | (~m_main_v_state2(s158, c_t2)))),
% 4.94/3.81 inference(rewrite,[status(thm)],[])).
% 4.94/3.81 tff(12871,plain,
% 4.94/3.81 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s158, c_n2)) | (~m_main_v_state2(s158, c_t2)))),
% 4.94/3.81 inference(quant_inst,[status(thm)],[])).
% 4.94/3.81 tff(12872,plain,
% 4.94/3.81 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s158, c_n2)) | (~m_main_v_state2(s158, c_t2))),
% 4.94/3.81 inference(modus_ponens,[status(thm)],[12871, 12870])).
% 4.94/3.81 tff(12873,plain,
% 4.94/3.81 (~m_main_v_state2(s158, c_n2)),
% 4.94/3.81 inference(unit_resolution,[status(thm)],[12872, 77, 12869])).
% 4.94/3.81 tff(12874,plain,
% 4.94/3.81 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s158, c_n2) | (~node4(s158)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s158, c_n2) | (~node4(s158)))),
% 4.94/3.81 inference(rewrite,[status(thm)],[])).
% 4.94/3.81 tff(12875,plain,
% 4.94/3.81 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s158, c_n2) | (~node4(s158)))),
% 4.94/3.81 inference(quant_inst,[status(thm)],[])).
% 4.94/3.81 tff(12876,plain,
% 4.94/3.81 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s158, c_n2) | (~node4(s158))),
% 4.94/3.81 inference(modus_ponens,[status(thm)],[12875, 12874])).
% 4.94/3.81 tff(12877,plain,
% 4.94/3.81 (~node4(s158)),
% 4.94/3.81 inference(unit_resolution,[status(thm)],[12876, 388, 12873])).
% 4.94/3.81 tff(12878,plain,
% 4.94/3.81 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s158, c_t2)) | (~m_main_v_state2(s158, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s158, c_t2)) | (~m_main_v_state2(s158, c_c2)))),
% 4.94/3.81 inference(rewrite,[status(thm)],[])).
% 4.94/3.81 tff(12879,plain,
% 4.94/3.81 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s158, c_t2)) | (~m_main_v_state2(s158, c_c2)))),
% 4.94/3.81 inference(quant_inst,[status(thm)],[])).
% 4.94/3.81 tff(12880,plain,
% 4.94/3.81 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s158, c_t2)) | (~m_main_v_state2(s158, c_c2))),
% 4.94/3.81 inference(modus_ponens,[status(thm)],[12879, 12878])).
% 4.94/3.81 tff(12881,plain,
% 4.94/3.81 (~m_main_v_state2(s158, c_c2)),
% 4.94/3.81 inference(unit_resolution,[status(thm)],[12880, 260, 12869])).
% 4.94/3.81 tff(12882,plain,
% 4.94/3.81 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s158, c_c2) | (~node3(s158)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s158, c_c2) | (~node3(s158)))),
% 4.94/3.81 inference(rewrite,[status(thm)],[])).
% 4.94/3.81 tff(12883,plain,
% 4.94/3.81 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s158, c_c2) | (~node3(s158)))),
% 4.94/3.81 inference(quant_inst,[status(thm)],[])).
% 4.94/3.81 tff(12884,plain,
% 4.94/3.81 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s158, c_c2) | (~node3(s158))),
% 4.94/3.81 inference(modus_ponens,[status(thm)],[12883, 12882])).
% 4.94/3.81 tff(12885,plain,
% 4.94/3.81 (~node3(s158)),
% 4.94/3.81 inference(unit_resolution,[status(thm)],[12884, 399, 12881])).
% 4.94/3.81 tff(12886,plain,
% 4.94/3.81 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s158, c_n2) | (~node2(s158)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s158, c_n2) | (~node2(s158)))),
% 4.94/3.81 inference(rewrite,[status(thm)],[])).
% 4.94/3.81 tff(12887,plain,
% 4.94/3.81 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s158, c_n2) | (~node2(s158)))),
% 4.94/3.81 inference(quant_inst,[status(thm)],[])).
% 4.94/3.81 tff(12888,plain,
% 4.94/3.81 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s158, c_n2) | (~node2(s158))),
% 4.94/3.81 inference(modus_ponens,[status(thm)],[12887, 12886])).
% 4.94/3.81 tff(12889,plain,
% 4.94/3.81 (~node2(s158)),
% 4.94/3.81 inference(unit_resolution,[status(thm)],[12888, 410, 12873])).
% 4.94/3.81 tff(12890,plain,
% 4.94/3.81 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s158, c_n1)) | (~m_main_v_state1(s158, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s158, c_n1)) | (~m_main_v_state1(s158, c_c1)))),
% 4.94/3.81 inference(rewrite,[status(thm)],[])).
% 4.94/3.81 tff(12891,plain,
% 4.94/3.81 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s158, c_n1)) | (~m_main_v_state1(s158, c_c1)))),
% 4.94/3.81 inference(quant_inst,[status(thm)],[])).
% 4.94/3.81 tff(12892,plain,
% 4.94/3.81 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s158, c_n1)) | (~m_main_v_state1(s158, c_c1))),
% 4.94/3.81 inference(modus_ponens,[status(thm)],[12891, 12890])).
% 4.94/3.81 tff(12893,plain,
% 4.94/3.81 (~m_main_v_state1(s158, c_n1)),
% 4.94/3.81 inference(unit_resolution,[status(thm)],[12892, 454, 12852])).
% 4.94/3.81 tff(12894,plain,
% 4.94/3.81 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s158, c_n1) | (~node1(s158)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s158, c_n1) | (~node1(s158)))),
% 4.94/3.81 inference(rewrite,[status(thm)],[])).
% 4.94/3.81 tff(12895,plain,
% 4.94/3.81 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s158, c_n1) | (~node1(s158)))),
% 4.94/3.81 inference(quant_inst,[status(thm)],[])).
% 4.94/3.81 tff(12896,plain,
% 4.94/3.81 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s158, c_n1) | (~node1(s158))),
% 4.94/3.81 inference(modus_ponens,[status(thm)],[12895, 12894])).
% 4.94/3.81 tff(12897,plain,
% 4.94/3.81 (~node1(s158)),
% 4.94/3.81 inference(unit_resolution,[status(thm)],[12896, 421, 12893])).
% 4.94/3.81 tff(12898,plain,
% 4.94/3.81 (succ(s158, s159) <=> succ(s158, s159)),
% 4.94/3.81 inference(rewrite,[status(thm)],[])).
% 4.94/3.81 tff(12899,axiom,(succ(s158, s159)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound159')).
% 4.94/3.81 tff(12900,plain,
% 4.94/3.81 (succ(s158, s159)),
% 4.94/3.81 inference(modus_ponens,[status(thm)],[12899, 12898])).
% 4.94/3.81 tff(12901,plain,
% 4.94/3.81 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s158, s159)) | trans(s158, s159))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s158, s159)) | trans(s158, s159))),
% 4.94/3.81 inference(rewrite,[status(thm)],[])).
% 4.94/3.81 tff(12902,plain,
% 4.94/3.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s158, s159)) | trans(s158, s159))),
% 4.94/3.81 inference(quant_inst,[status(thm)],[])).
% 4.94/3.81 tff(12903,plain,
% 4.94/3.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s158, s159)) | trans(s158, s159)),
% 4.94/3.81 inference(modus_ponens,[status(thm)],[12902, 12901])).
% 4.94/3.81 tff(12904,plain,
% 4.94/3.81 (trans(s158, s159)),
% 4.94/3.81 inference(unit_resolution,[status(thm)],[12903, 12900, 32])).
% 4.94/3.81 tff(12905,plain,
% 4.94/3.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s158, s159)) | node7(s158, s159))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s158, s159)) | node7(s158, s159))),
% 4.94/3.81 inference(rewrite,[status(thm)],[])).
% 4.94/3.81 tff(12906,plain,
% 4.94/3.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s158, s159)) | node7(s158, s159))),
% 4.94/3.81 inference(quant_inst,[status(thm)],[])).
% 4.94/3.81 tff(12907,plain,
% 4.94/3.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s158, s159)) | node7(s158, s159)),
% 4.94/3.81 inference(modus_ponens,[status(thm)],[12906, 12905])).
% 4.94/3.81 tff(12908,plain,
% 4.94/3.81 (node7(s158, s159)),
% 4.94/3.81 inference(unit_resolution,[status(thm)],[12907, 206, 12904])).
% 4.94/3.81 tff(12909,plain,
% 4.94/3.81 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s159, c_n1) | (~m_main_v_state1(s158, c_c1)) | node1(s158) | node2(s158) | node3(s158) | node4(s158) | node5(s158) | (~node7(s158, s159)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s159, c_n1) | (~m_main_v_state1(s158, c_c1)) | node1(s158) | node2(s158) | node3(s158) | node4(s158) | node5(s158) | (~node7(s158, s159)))),
% 4.94/3.81 inference(rewrite,[status(thm)],[])).
% 4.94/3.81 tff(12910,plain,
% 4.94/3.81 (((~m_main_v_state1(s158, c_c1)) | node1(s158) | node2(s158) | node3(s158) | node4(s158) | node5(s158) | (~node7(s158, s159)) | m_main_v_state1(s159, c_n1)) <=> (m_main_v_state1(s159, c_n1) | (~m_main_v_state1(s158, c_c1)) | node1(s158) | node2(s158) | node3(s158) | node4(s158) | node5(s158) | (~node7(s158, s159)))),
% 4.94/3.81 inference(rewrite,[status(thm)],[])).
% 4.94/3.81 tff(12911,plain,
% 4.94/3.81 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s158, c_c1)) | node1(s158) | node2(s158) | node3(s158) | node4(s158) | node5(s158) | (~node7(s158, s159)) | m_main_v_state1(s159, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s159, c_n1) | (~m_main_v_state1(s158, c_c1)) | node1(s158) | node2(s158) | node3(s158) | node4(s158) | node5(s158) | (~node7(s158, s159))))),
% 4.94/3.81 inference(monotonicity,[status(thm)],[12910])).
% 4.94/3.81 tff(12912,plain,
% 4.94/3.81 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s158, c_c1)) | node1(s158) | node2(s158) | node3(s158) | node4(s158) | node5(s158) | (~node7(s158, s159)) | m_main_v_state1(s159, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s159, c_n1) | (~m_main_v_state1(s158, c_c1)) | node1(s158) | node2(s158) | node3(s158) | node4(s158) | node5(s158) | (~node7(s158, s159)))),
% 4.94/3.81 inference(transitivity,[status(thm)],[12911, 12909])).
% 4.94/3.81 tff(12913,plain,
% 4.94/3.81 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s158, c_c1)) | node1(s158) | node2(s158) | node3(s158) | node4(s158) | node5(s158) | (~node7(s158, s159)) | m_main_v_state1(s159, c_n1))),
% 4.94/3.81 inference(quant_inst,[status(thm)],[])).
% 4.94/3.81 tff(12914,plain,
% 4.94/3.81 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s159, c_n1) | (~m_main_v_state1(s158, c_c1)) | node1(s158) | node2(s158) | node3(s158) | node4(s158) | node5(s158) | (~node7(s158, s159))),
% 4.94/3.81 inference(modus_ponens,[status(thm)],[12913, 12912])).
% 4.94/3.81 tff(12915,plain,
% 4.94/3.81 (m_main_v_state1(s159, c_n1) | (~m_main_v_state1(s158, c_c1)) | node1(s158) | node2(s158) | node3(s158) | node4(s158) | node5(s158)),
% 4.94/3.81 inference(unit_resolution,[status(thm)],[12914, 584, 12908])).
% 4.94/3.81 tff(12916,plain,
% 4.94/3.81 (m_main_v_state1(s159, c_n1)),
% 4.94/3.81 inference(unit_resolution,[status(thm)],[12915, 12897, 12852, 12889, 12885, 12877, 12860])).
% 4.94/3.81 tff(12917,plain,
% 4.94/3.81 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s157, c_t2) | (~node15(s157)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s157, c_t2) | (~node15(s157)))),
% 4.94/3.81 inference(rewrite,[status(thm)],[])).
% 4.94/3.81 tff(12918,plain,
% 4.94/3.81 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s157, c_t2) | (~node15(s157)))),
% 4.94/3.81 inference(quant_inst,[status(thm)],[])).
% 4.94/3.81 tff(12919,plain,
% 4.94/3.81 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s157, c_t2) | (~node15(s157))),
% 4.94/3.81 inference(modus_ponens,[status(thm)],[12918, 12917])).
% 4.94/3.81 tff(12920,plain,
% 4.94/3.81 (~node15(s157)),
% 4.94/3.81 inference(unit_resolution,[status(thm)],[12919, 103, 12829])).
% 4.94/3.81 tff(12921,plain,
% 4.94/3.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s157, s158)) | node18(s157, s158))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s157, s158)) | node18(s157, s158))),
% 4.94/3.81 inference(rewrite,[status(thm)],[])).
% 4.94/3.81 tff(12922,plain,
% 4.94/3.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s157, s158)) | node18(s157, s158))),
% 4.94/3.81 inference(quant_inst,[status(thm)],[])).
% 4.94/3.81 tff(12923,plain,
% 4.94/3.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s157, s158)) | node18(s157, s158)),
% 4.94/3.81 inference(modus_ponens,[status(thm)],[12922, 12921])).
% 4.94/3.81 tff(12924,plain,
% 4.94/3.81 (node18(s157, s158)),
% 4.94/3.81 inference(unit_resolution,[status(thm)],[12923, 125, 12840])).
% 4.94/3.81 tff(12925,plain,
% 4.94/3.81 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s157) | (~node18(s157, s158)) | (~m_main_v_state1(s157, c_t1)) | (~m_main_v_state2(s157, c_n2)) | m_main_v_turn(s158, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s157) | (~node18(s157, s158)) | (~m_main_v_state1(s157, c_t1)) | (~m_main_v_state2(s157, c_n2)) | m_main_v_turn(s158, c_1))),
% 4.94/3.81 inference(rewrite,[status(thm)],[])).
% 4.94/3.81 tff(12926,plain,
% 4.94/3.81 (((~m_main_v_state1(s157, c_t1)) | (~m_main_v_state2(s157, c_n2)) | node15(s157) | (~node18(s157, s158)) | m_main_v_turn(s158, c_1)) <=> (node15(s157) | (~node18(s157, s158)) | (~m_main_v_state1(s157, c_t1)) | (~m_main_v_state2(s157, c_n2)) | m_main_v_turn(s158, c_1))),
% 4.94/3.81 inference(rewrite,[status(thm)],[])).
% 4.94/3.81 tff(12927,plain,
% 4.94/3.81 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s157, c_t1)) | (~m_main_v_state2(s157, c_n2)) | node15(s157) | (~node18(s157, s158)) | m_main_v_turn(s158, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s157) | (~node18(s157, s158)) | (~m_main_v_state1(s157, c_t1)) | (~m_main_v_state2(s157, c_n2)) | m_main_v_turn(s158, c_1)))),
% 4.94/3.81 inference(monotonicity,[status(thm)],[12926])).
% 4.94/3.81 tff(12928,plain,
% 4.94/3.81 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s157, c_t1)) | (~m_main_v_state2(s157, c_n2)) | node15(s157) | (~node18(s157, s158)) | m_main_v_turn(s158, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s157) | (~node18(s157, s158)) | (~m_main_v_state1(s157, c_t1)) | (~m_main_v_state2(s157, c_n2)) | m_main_v_turn(s158, c_1))),
% 4.94/3.81 inference(transitivity,[status(thm)],[12927, 12925])).
% 4.94/3.81 tff(12929,plain,
% 4.94/3.81 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s157, c_t1)) | (~m_main_v_state2(s157, c_n2)) | node15(s157) | (~node18(s157, s158)) | m_main_v_turn(s158, c_1))),
% 4.94/3.81 inference(quant_inst,[status(thm)],[])).
% 4.94/3.81 tff(12930,plain,
% 4.94/3.81 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s157) | (~node18(s157, s158)) | (~m_main_v_state1(s157, c_t1)) | (~m_main_v_state2(s157, c_n2)) | m_main_v_turn(s158, c_1)),
% 4.94/3.81 inference(modus_ponens,[status(thm)],[12929, 12928])).
% 4.94/3.81 tff(12931,plain,
% 4.94/3.81 (node15(s157) | (~m_main_v_state1(s157, c_t1)) | (~m_main_v_state2(s157, c_n2)) | m_main_v_turn(s158, c_1)),
% 4.94/3.81 inference(unit_resolution,[status(thm)],[12930, 992, 12924])).
% 4.94/3.81 tff(12932,plain,
% 4.94/3.81 (m_main_v_turn(s158, c_1)),
% 4.94/3.81 inference(unit_resolution,[status(thm)],[12931, 12920, 12757, 12825])).
% 4.94/3.81 tff(12933,plain,
% 4.94/3.81 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s158, c_1)) | (~m_main_v_turn(s158, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s158, c_1)) | (~m_main_v_turn(s158, c_2)))),
% 4.94/3.81 inference(rewrite,[status(thm)],[])).
% 4.94/3.81 tff(12934,plain,
% 4.94/3.81 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s158, c_1)) | (~m_main_v_turn(s158, c_2)))),
% 4.94/3.81 inference(quant_inst,[status(thm)],[])).
% 4.94/3.81 tff(12935,plain,
% 4.94/3.81 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s158, c_1)) | (~m_main_v_turn(s158, c_2))),
% 4.94/3.81 inference(modus_ponens,[status(thm)],[12934, 12933])).
% 4.94/3.81 tff(12936,plain,
% 4.94/3.81 (~m_main_v_turn(s158, c_2)),
% 4.94/3.81 inference(unit_resolution,[status(thm)],[12935, 156, 12932])).
% 4.94/3.81 tff(12937,plain,
% 4.94/3.81 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s158, c_2) | (~node12(s158)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s158, c_2) | (~node12(s158)))),
% 4.94/3.81 inference(rewrite,[status(thm)],[])).
% 4.94/3.81 tff(12938,plain,
% 4.94/3.81 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s158, c_2) | (~node12(s158)))),
% 4.94/3.81 inference(quant_inst,[status(thm)],[])).
% 4.94/3.81 tff(12939,plain,
% 4.94/3.81 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s158, c_2) | (~node12(s158))),
% 4.94/3.81 inference(modus_ponens,[status(thm)],[12938, 12937])).
% 4.94/3.81 tff(12940,plain,
% 4.94/3.81 (~node12(s158)),
% 4.94/3.81 inference(unit_resolution,[status(thm)],[12939, 184, 12936])).
% 4.94/3.81 tff(12941,plain,
% 4.94/3.81 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s158, c_n2) | (~node8(s158)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s158, c_n2) | (~node8(s158)))),
% 4.94/3.81 inference(rewrite,[status(thm)],[])).
% 4.94/3.81 tff(12942,plain,
% 4.94/3.81 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s158, c_n2) | (~node8(s158)))),
% 4.94/3.81 inference(quant_inst,[status(thm)],[])).
% 4.94/3.81 tff(12943,plain,
% 4.94/3.81 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s158, c_n2) | (~node8(s158))),
% 4.94/3.81 inference(modus_ponens,[status(thm)],[12942, 12941])).
% 4.94/3.81 tff(12944,plain,
% 4.94/3.81 (~node8(s158)),
% 4.94/3.81 inference(unit_resolution,[status(thm)],[12943, 271, 12873])).
% 4.94/3.81 tff(12945,plain,
% 4.94/3.81 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s158, c_n2) | (~node9(s158)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s158, c_n2) | (~node9(s158)))),
% 4.94/3.81 inference(rewrite,[status(thm)],[])).
% 4.94/3.81 tff(12946,plain,
% 4.94/3.81 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s158, c_n2) | (~node9(s158)))),
% 4.94/3.81 inference(quant_inst,[status(thm)],[])).
% 4.94/3.81 tff(12947,plain,
% 4.94/3.81 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s158, c_n2) | (~node9(s158))),
% 4.94/3.81 inference(modus_ponens,[status(thm)],[12946, 12945])).
% 4.94/3.81 tff(12948,plain,
% 4.94/3.81 (~node9(s158)),
% 4.94/3.81 inference(unit_resolution,[status(thm)],[12947, 88, 12873])).
% 4.94/3.81 tff(12949,plain,
% 4.94/3.81 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s158, c_n2) | (~node10(s158)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s158, c_n2) | (~node10(s158)))),
% 4.94/3.81 inference(rewrite,[status(thm)],[])).
% 4.94/3.81 tff(12950,plain,
% 4.94/3.81 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s158, c_n2) | (~node10(s158)))),
% 4.94/3.81 inference(quant_inst,[status(thm)],[])).
% 4.94/3.81 tff(12951,plain,
% 4.94/3.81 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s158, c_n2) | (~node10(s158))),
% 4.94/3.81 inference(modus_ponens,[status(thm)],[12950, 12949])).
% 4.94/3.81 tff(12952,plain,
% 4.94/3.81 (~node10(s158)),
% 4.94/3.81 inference(unit_resolution,[status(thm)],[12951, 249, 12873])).
% 4.94/3.81 tff(12953,plain,
% 4.94/3.81 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s158, c_n1) | (~node11(s158)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s158, c_n1) | (~node11(s158)))),
% 4.94/3.81 inference(rewrite,[status(thm)],[])).
% 4.94/3.81 tff(12954,plain,
% 4.94/3.81 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s158, c_n1) | (~node11(s158)))),
% 4.94/3.81 inference(quant_inst,[status(thm)],[])).
% 4.94/3.81 tff(12955,plain,
% 4.94/3.81 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s158, c_n1) | (~node11(s158))),
% 4.94/3.81 inference(modus_ponens,[status(thm)],[12954, 12953])).
% 4.94/3.81 tff(12956,plain,
% 4.94/3.81 (~node11(s158)),
% 4.94/3.81 inference(unit_resolution,[status(thm)],[12955, 238, 12893])).
% 4.94/3.81 tff(12957,plain,
% 4.94/3.81 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s158, s159)) | node14(s158, s159))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s158, s159)) | node14(s158, s159))),
% 4.94/3.81 inference(rewrite,[status(thm)],[])).
% 4.94/3.81 tff(12958,plain,
% 4.94/3.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s158, s159)) | node14(s158, s159))),
% 4.94/3.81 inference(quant_inst,[status(thm)],[])).
% 4.94/3.81 tff(12959,plain,
% 4.94/3.81 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s158, s159)) | node14(s158, s159)),
% 4.94/3.81 inference(modus_ponens,[status(thm)],[12958, 12957])).
% 4.94/3.81 tff(12960,plain,
% 4.94/3.81 (node14(s158, s159)),
% 4.94/3.81 inference(unit_resolution,[status(thm)],[12959, 46, 12904])).
% 4.94/3.81 tff(12961,plain,
% 4.94/3.81 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s158, c_c2) | node9(s158) | node8(s158) | node10(s158) | node11(s158) | node12(s158) | node13(s158, s159) | (~node14(s158, s159)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s158, c_c2) | node9(s158) | node8(s158) | node10(s158) | node11(s158) | node12(s158) | node13(s158, s159) | (~node14(s158, s159)))),
% 4.94/3.81 inference(rewrite,[status(thm)],[])).
% 4.94/3.81 tff(12962,plain,
% 4.94/3.81 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s158, c_c2) | node9(s158) | node8(s158) | node10(s158) | node11(s158) | node12(s158) | node13(s158, s159) | (~node14(s158, s159)))),
% 4.94/3.81 inference(quant_inst,[status(thm)],[])).
% 4.94/3.81 tff(12963,plain,
% 4.94/3.81 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s158, c_c2) | node9(s158) | node8(s158) | node10(s158) | node11(s158) | node12(s158) | node13(s158, s159) | (~node14(s158, s159))),
% 4.94/3.81 inference(modus_ponens,[status(thm)],[12962, 12961])).
% 4.94/3.81 tff(12964,plain,
% 4.94/3.81 (m_main_v_state2(s158, c_c2) | node9(s158) | node8(s158) | node10(s158) | node11(s158) | node12(s158) | node13(s158, s159)),
% 4.94/3.81 inference(unit_resolution,[status(thm)],[12963, 296, 12960])).
% 4.94/3.81 tff(12965,plain,
% 4.94/3.81 (node13(s158, s159)),
% 4.94/3.81 inference(unit_resolution,[status(thm)],[12964, 12956, 12881, 12952, 12948, 12944, 12940])).
% 4.94/3.81 tff(12966,plain,
% 4.94/3.81 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s158, c_t2)) | m_main_v_state2(s159, c_t2) | (~node13(s158, s159)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s158, c_t2)) | m_main_v_state2(s159, c_t2) | (~node13(s158, s159)))),
% 4.94/3.81 inference(rewrite,[status(thm)],[])).
% 4.94/3.81 tff(12967,plain,
% 4.94/3.81 (((~node13(s158, s159)) | (~m_main_v_state2(s158, c_t2)) | m_main_v_state2(s159, c_t2)) <=> ((~m_main_v_state2(s158, c_t2)) | m_main_v_state2(s159, c_t2) | (~node13(s158, s159)))),
% 4.94/3.81 inference(rewrite,[status(thm)],[])).
% 4.94/3.81 tff(12968,plain,
% 4.94/3.81 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s158, s159)) | (~m_main_v_state2(s158, c_t2)) | m_main_v_state2(s159, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s158, c_t2)) | m_main_v_state2(s159, c_t2) | (~node13(s158, s159))))),
% 4.94/3.81 inference(monotonicity,[status(thm)],[12967])).
% 4.94/3.81 tff(12969,plain,
% 4.94/3.81 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s158, s159)) | (~m_main_v_state2(s158, c_t2)) | m_main_v_state2(s159, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s158, c_t2)) | m_main_v_state2(s159, c_t2) | (~node13(s158, s159)))),
% 4.94/3.81 inference(transitivity,[status(thm)],[12968, 12966])).
% 4.94/3.81 tff(12970,plain,
% 4.94/3.81 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s158, s159)) | (~m_main_v_state2(s158, c_t2)) | m_main_v_state2(s159, c_t2))),
% 4.94/3.81 inference(quant_inst,[status(thm)],[])).
% 4.94/3.81 tff(12971,plain,
% 4.94/3.81 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s158, c_t2)) | m_main_v_state2(s159, c_t2) | (~node13(s158, s159))),
% 4.94/3.81 inference(modus_ponens,[status(thm)],[12970, 12969])).
% 4.94/3.81 tff(12972,plain,
% 4.94/3.81 (m_main_v_state2(s159, c_t2)),
% 4.94/3.81 inference(unit_resolution,[status(thm)],[12971, 518, 12869, 12965])).
% 4.94/3.81 tff(12973,plain,
% 4.94/3.81 (succ(s159, s160) <=> succ(s159, s160)),
% 4.94/3.81 inference(rewrite,[status(thm)],[])).
% 4.94/3.81 tff(12974,axiom,(succ(s159, s160)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound160')).
% 4.94/3.81 tff(12975,plain,
% 4.94/3.81 (succ(s159, s160)),
% 4.94/3.81 inference(modus_ponens,[status(thm)],[12974, 12973])).
% 4.94/3.81 tff(12976,plain,
% 4.94/3.81 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s159, s160)) | trans(s159, s160))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s159, s160)) | trans(s159, s160))),
% 4.94/3.82 inference(rewrite,[status(thm)],[])).
% 4.94/3.82 tff(12977,plain,
% 4.94/3.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s159, s160)) | trans(s159, s160))),
% 4.94/3.82 inference(quant_inst,[status(thm)],[])).
% 4.94/3.82 tff(12978,plain,
% 4.94/3.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s159, s160)) | trans(s159, s160)),
% 4.94/3.82 inference(modus_ponens,[status(thm)],[12977, 12976])).
% 4.94/3.82 tff(12979,plain,
% 4.94/3.82 (trans(s159, s160)),
% 4.94/3.82 inference(unit_resolution,[status(thm)],[12978, 12975, 32])).
% 4.94/3.82 tff(12980,plain,
% 4.94/3.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s159, s160)) | node7(s159, s160))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s159, s160)) | node7(s159, s160))),
% 4.94/3.82 inference(rewrite,[status(thm)],[])).
% 4.94/3.82 tff(12981,plain,
% 4.94/3.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s159, s160)) | node7(s159, s160))),
% 4.94/3.82 inference(quant_inst,[status(thm)],[])).
% 4.94/3.82 tff(12982,plain,
% 4.94/3.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s159, s160)) | node7(s159, s160)),
% 4.94/3.82 inference(modus_ponens,[status(thm)],[12981, 12980])).
% 4.94/3.82 tff(12983,plain,
% 4.94/3.82 (node7(s159, s160)),
% 4.94/3.82 inference(unit_resolution,[status(thm)],[12982, 206, 12979])).
% 4.94/3.82 tff(12984,plain,
% 4.94/3.82 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s159, c_n1)) | (~m_main_v_state2(s159, c_t2)) | (~node7(s159, s160)) | m_main_v_state1(s160, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s159, c_n1)) | (~m_main_v_state2(s159, c_t2)) | (~node7(s159, s160)) | m_main_v_state1(s160, c_t1))),
% 4.94/3.82 inference(rewrite,[status(thm)],[])).
% 4.94/3.82 tff(12985,plain,
% 4.94/3.82 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s159, c_n1)) | (~m_main_v_state2(s159, c_t2)) | (~node7(s159, s160)) | m_main_v_state1(s160, c_t1))),
% 4.94/3.82 inference(quant_inst,[status(thm)],[])).
% 4.94/3.82 tff(12986,plain,
% 4.94/3.82 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s159, c_n1)) | (~m_main_v_state2(s159, c_t2)) | (~node7(s159, s160)) | m_main_v_state1(s160, c_t1)),
% 4.94/3.82 inference(modus_ponens,[status(thm)],[12985, 12984])).
% 4.94/3.82 tff(12987,plain,
% 4.94/3.82 ((~m_main_v_state1(s159, c_n1)) | (~m_main_v_state2(s159, c_t2)) | m_main_v_state1(s160, c_t1)),
% 4.94/3.82 inference(unit_resolution,[status(thm)],[12986, 651, 12983])).
% 4.94/3.82 tff(12988,plain,
% 4.94/3.82 (m_main_v_state1(s160, c_t1)),
% 4.94/3.82 inference(unit_resolution,[status(thm)],[12987, 12972, 12916])).
% 4.94/3.82 tff(12989,plain,
% 4.94/3.82 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s160, c_n1)) | (~m_main_v_state1(s160, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s160, c_n1)) | (~m_main_v_state1(s160, c_t1)))),
% 4.94/3.82 inference(rewrite,[status(thm)],[])).
% 4.94/3.82 tff(12990,plain,
% 4.94/3.82 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s160, c_n1)) | (~m_main_v_state1(s160, c_t1)))),
% 4.94/3.82 inference(quant_inst,[status(thm)],[])).
% 4.94/3.82 tff(12991,plain,
% 4.94/3.82 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s160, c_n1)) | (~m_main_v_state1(s160, c_t1))),
% 4.94/3.82 inference(modus_ponens,[status(thm)],[12990, 12989])).
% 4.94/3.82 tff(12992,plain,
% 4.94/3.82 (~m_main_v_state1(s160, c_n1)),
% 4.94/3.82 inference(unit_resolution,[status(thm)],[12991, 10, 12988])).
% 4.94/3.82 tff(12993,plain,
% 4.94/3.82 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s160, c_n1) | (~node1(s160)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s160, c_n1) | (~node1(s160)))),
% 4.94/3.82 inference(rewrite,[status(thm)],[])).
% 4.94/3.82 tff(12994,plain,
% 4.94/3.82 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s160, c_n1) | (~node1(s160)))),
% 4.94/3.82 inference(quant_inst,[status(thm)],[])).
% 4.94/3.82 tff(12995,plain,
% 4.94/3.82 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s160, c_n1) | (~node1(s160))),
% 4.94/3.82 inference(modus_ponens,[status(thm)],[12994, 12993])).
% 4.94/3.82 tff(12996,plain,
% 4.94/3.82 (~node1(s160)),
% 4.94/3.82 inference(unit_resolution,[status(thm)],[12995, 421, 12992])).
% 4.94/3.82 tff(12997,plain,
% 4.94/3.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s159, s160)) | node18(s159, s160))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s159, s160)) | node18(s159, s160))),
% 4.94/3.82 inference(rewrite,[status(thm)],[])).
% 4.94/3.82 tff(12998,plain,
% 4.94/3.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s159, s160)) | node18(s159, s160))),
% 4.94/3.82 inference(quant_inst,[status(thm)],[])).
% 4.94/3.82 tff(12999,plain,
% 4.94/3.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s159, s160)) | node18(s159, s160)),
% 4.94/3.82 inference(modus_ponens,[status(thm)],[12998, 12997])).
% 4.94/3.82 tff(13000,plain,
% 4.94/3.82 (node18(s159, s160)),
% 4.94/3.82 inference(unit_resolution,[status(thm)],[12999, 125, 12979])).
% 4.94/3.82 tff(13001,plain,
% 4.94/3.82 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s159, c_n1)) | (~m_main_v_state2(s159, c_t2)) | (~node18(s159, s160)) | m_main_v_turn(s160, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s159, c_n1)) | (~m_main_v_state2(s159, c_t2)) | (~node18(s159, s160)) | m_main_v_turn(s160, c_2))),
% 4.94/3.82 inference(rewrite,[status(thm)],[])).
% 4.94/3.82 tff(13002,plain,
% 4.94/3.82 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s159, c_n1)) | (~m_main_v_state2(s159, c_t2)) | (~node18(s159, s160)) | m_main_v_turn(s160, c_2))),
% 4.94/3.82 inference(quant_inst,[status(thm)],[])).
% 4.94/3.82 tff(13003,plain,
% 4.94/3.82 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s159, c_n1)) | (~m_main_v_state2(s159, c_t2)) | (~node18(s159, s160)) | m_main_v_turn(s160, c_2)),
% 4.94/3.82 inference(modus_ponens,[status(thm)],[13002, 13001])).
% 4.94/3.82 tff(13004,plain,
% 4.94/3.82 ((~m_main_v_state1(s159, c_n1)) | (~m_main_v_state2(s159, c_t2)) | m_main_v_turn(s160, c_2)),
% 4.94/3.82 inference(unit_resolution,[status(thm)],[13003, 760, 13000])).
% 4.94/3.82 tff(13005,plain,
% 4.94/3.82 (m_main_v_turn(s160, c_2)),
% 4.94/3.82 inference(unit_resolution,[status(thm)],[13004, 12972, 12916])).
% 4.94/3.82 tff(13006,plain,
% 4.94/3.82 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s160, c_1)) | (~m_main_v_turn(s160, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s160, c_1)) | (~m_main_v_turn(s160, c_2)))),
% 4.94/3.82 inference(rewrite,[status(thm)],[])).
% 4.94/3.82 tff(13007,plain,
% 4.94/3.82 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s160, c_1)) | (~m_main_v_turn(s160, c_2)))),
% 4.94/3.82 inference(quant_inst,[status(thm)],[])).
% 4.94/3.82 tff(13008,plain,
% 4.94/3.82 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s160, c_1)) | (~m_main_v_turn(s160, c_2))),
% 4.94/3.82 inference(modus_ponens,[status(thm)],[13007, 13006])).
% 4.94/3.82 tff(13009,plain,
% 4.94/3.82 (~m_main_v_turn(s160, c_1)),
% 4.94/3.82 inference(unit_resolution,[status(thm)],[13008, 156, 13005])).
% 4.94/3.82 tff(13010,plain,
% 4.94/3.82 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s160, c_1) | (~node5(s160)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s160, c_1) | (~node5(s160)))),
% 4.94/3.82 inference(rewrite,[status(thm)],[])).
% 4.94/3.82 tff(13011,plain,
% 4.94/3.82 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s160, c_1) | (~node5(s160)))),
% 4.94/3.82 inference(quant_inst,[status(thm)],[])).
% 4.94/3.82 tff(13012,plain,
% 4.94/3.82 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s160, c_1) | (~node5(s160))),
% 4.94/3.82 inference(modus_ponens,[status(thm)],[13011, 13010])).
% 4.94/3.82 tff(13013,plain,
% 4.94/3.82 (~node5(s160)),
% 4.94/3.82 inference(unit_resolution,[status(thm)],[13012, 776, 13009])).
% 4.94/3.82 tff(13014,plain,
% 4.94/3.82 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s160, c_n1) | (~node2(s160)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s160, c_n1) | (~node2(s160)))),
% 4.94/3.82 inference(rewrite,[status(thm)],[])).
% 4.94/3.82 tff(13015,plain,
% 4.94/3.82 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s160, c_n1) | (~node2(s160)))),
% 4.94/3.82 inference(quant_inst,[status(thm)],[])).
% 4.94/3.82 tff(13016,plain,
% 4.94/3.82 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s160, c_n1) | (~node2(s160))),
% 4.94/3.82 inference(modus_ponens,[status(thm)],[13015, 13014])).
% 4.94/3.82 tff(13017,plain,
% 4.94/3.82 (~node2(s160)),
% 4.94/3.82 inference(unit_resolution,[status(thm)],[13016, 787, 12992])).
% 4.94/3.82 tff(13018,plain,
% 4.94/3.82 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s160, c_n1) | (~node3(s160)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s160, c_n1) | (~node3(s160)))),
% 4.94/3.82 inference(rewrite,[status(thm)],[])).
% 4.94/3.82 tff(13019,plain,
% 4.94/3.82 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s160, c_n1) | (~node3(s160)))),
% 4.94/3.82 inference(quant_inst,[status(thm)],[])).
% 4.94/3.82 tff(13020,plain,
% 4.94/3.82 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s160, c_n1) | (~node3(s160))),
% 4.94/3.82 inference(modus_ponens,[status(thm)],[13019, 13018])).
% 4.94/3.82 tff(13021,plain,
% 4.94/3.82 (~node3(s160)),
% 4.94/3.82 inference(unit_resolution,[status(thm)],[13020, 798, 12992])).
% 4.94/3.82 tff(13022,plain,
% 4.94/3.82 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s160, c_t1)) | (~m_main_v_state1(s160, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s160, c_t1)) | (~m_main_v_state1(s160, c_c1)))),
% 4.94/3.82 inference(rewrite,[status(thm)],[])).
% 4.94/3.82 tff(13023,plain,
% 4.94/3.82 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s160, c_t1)) | (~m_main_v_state1(s160, c_c1)))),
% 4.94/3.82 inference(quant_inst,[status(thm)],[])).
% 4.94/3.82 tff(13024,plain,
% 4.94/3.82 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s160, c_t1)) | (~m_main_v_state1(s160, c_c1))),
% 4.94/3.82 inference(modus_ponens,[status(thm)],[13023, 13022])).
% 4.94/3.82 tff(13025,plain,
% 4.94/3.82 (~m_main_v_state1(s160, c_c1)),
% 4.94/3.82 inference(unit_resolution,[status(thm)],[13024, 539, 12988])).
% 4.94/3.82 tff(13026,plain,
% 4.94/3.82 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s158, c_n2) | (~m_main_v_state2(s159, c_n2)) | (~node13(s158, s159)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s158, c_n2) | (~m_main_v_state2(s159, c_n2)) | (~node13(s158, s159)))),
% 4.94/3.82 inference(rewrite,[status(thm)],[])).
% 4.94/3.82 tff(13027,plain,
% 4.94/3.82 (((~node13(s158, s159)) | m_main_v_state2(s158, c_n2) | (~m_main_v_state2(s159, c_n2))) <=> (m_main_v_state2(s158, c_n2) | (~m_main_v_state2(s159, c_n2)) | (~node13(s158, s159)))),
% 4.94/3.82 inference(rewrite,[status(thm)],[])).
% 4.94/3.82 tff(13028,plain,
% 4.94/3.82 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s158, s159)) | m_main_v_state2(s158, c_n2) | (~m_main_v_state2(s159, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s158, c_n2) | (~m_main_v_state2(s159, c_n2)) | (~node13(s158, s159))))),
% 4.94/3.82 inference(monotonicity,[status(thm)],[13027])).
% 4.94/3.82 tff(13029,plain,
% 4.94/3.82 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s158, s159)) | m_main_v_state2(s158, c_n2) | (~m_main_v_state2(s159, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s158, c_n2) | (~m_main_v_state2(s159, c_n2)) | (~node13(s158, s159)))),
% 4.94/3.82 inference(transitivity,[status(thm)],[13028, 13026])).
% 4.94/3.82 tff(13030,plain,
% 4.94/3.82 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s158, s159)) | m_main_v_state2(s158, c_n2) | (~m_main_v_state2(s159, c_n2)))),
% 4.94/3.82 inference(quant_inst,[status(thm)],[])).
% 4.94/3.82 tff(13031,plain,
% 4.94/3.82 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s158, c_n2) | (~m_main_v_state2(s159, c_n2)) | (~node13(s158, s159))),
% 4.94/3.82 inference(modus_ponens,[status(thm)],[13030, 13029])).
% 4.94/3.82 tff(13032,plain,
% 4.94/3.82 (~m_main_v_state2(s159, c_n2)),
% 4.94/3.82 inference(unit_resolution,[status(thm)],[13031, 311, 12873, 12965])).
% 4.94/3.82 tff(13033,plain,
% 4.94/3.82 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s159, c_n2) | (~node9(s159)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s159, c_n2) | (~node9(s159)))),
% 4.94/3.82 inference(rewrite,[status(thm)],[])).
% 4.94/3.82 tff(13034,plain,
% 4.94/3.82 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s159, c_n2) | (~node9(s159)))),
% 4.94/3.82 inference(quant_inst,[status(thm)],[])).
% 4.94/3.82 tff(13035,plain,
% 4.94/3.82 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s159, c_n2) | (~node9(s159))),
% 4.94/3.82 inference(modus_ponens,[status(thm)],[13034, 13033])).
% 4.94/3.82 tff(13036,plain,
% 4.94/3.82 (~node9(s159)),
% 4.94/3.82 inference(unit_resolution,[status(thm)],[13035, 88, 13032])).
% 4.94/3.82 tff(13037,plain,
% 4.94/3.82 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s159, c_n2) | (~node10(s159)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s159, c_n2) | (~node10(s159)))),
% 4.94/3.82 inference(rewrite,[status(thm)],[])).
% 4.94/3.82 tff(13038,plain,
% 4.94/3.82 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s159, c_n2) | (~node10(s159)))),
% 4.94/3.82 inference(quant_inst,[status(thm)],[])).
% 4.94/3.82 tff(13039,plain,
% 4.94/3.82 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s159, c_n2) | (~node10(s159))),
% 4.94/3.82 inference(modus_ponens,[status(thm)],[13038, 13037])).
% 4.94/3.82 tff(13040,plain,
% 4.94/3.82 (~node10(s159)),
% 4.94/3.82 inference(unit_resolution,[status(thm)],[13039, 249, 13032])).
% 4.94/3.82 tff(13041,plain,
% 4.94/3.82 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s159, c_n2) | (~node8(s159)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s159, c_n2) | (~node8(s159)))),
% 4.94/3.82 inference(rewrite,[status(thm)],[])).
% 4.94/3.82 tff(13042,plain,
% 4.94/3.82 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s159, c_n2) | (~node8(s159)))),
% 4.94/3.82 inference(quant_inst,[status(thm)],[])).
% 4.94/3.82 tff(13043,plain,
% 4.94/3.82 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s159, c_n2) | (~node8(s159))),
% 4.94/3.82 inference(modus_ponens,[status(thm)],[13042, 13041])).
% 4.94/3.82 tff(13044,plain,
% 4.94/3.82 (~node8(s159)),
% 4.94/3.82 inference(unit_resolution,[status(thm)],[13043, 271, 13032])).
% 4.94/3.82 tff(13045,plain,
% 4.94/3.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s159, s160)) | node14(s159, s160))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s159, s160)) | node14(s159, s160))),
% 4.94/3.82 inference(rewrite,[status(thm)],[])).
% 4.94/3.82 tff(13046,plain,
% 4.94/3.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s159, s160)) | node14(s159, s160))),
% 4.94/3.82 inference(quant_inst,[status(thm)],[])).
% 4.94/3.82 tff(13047,plain,
% 4.94/3.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s159, s160)) | node14(s159, s160)),
% 4.94/3.82 inference(modus_ponens,[status(thm)],[13046, 13045])).
% 4.94/3.82 tff(13048,plain,
% 4.94/3.82 (node14(s159, s160)),
% 4.94/3.82 inference(unit_resolution,[status(thm)],[13047, 46, 12979])).
% 4.94/3.82 tff(13049,plain,
% 4.94/3.82 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s159, c_n1)) | (~m_main_v_state2(s159, c_t2)) | node9(s159) | node8(s159) | node10(s159) | (~node14(s159, s160)) | m_main_v_state2(s160, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s159, c_n1)) | (~m_main_v_state2(s159, c_t2)) | node9(s159) | node8(s159) | node10(s159) | (~node14(s159, s160)) | m_main_v_state2(s160, c_c2))),
% 4.94/3.82 inference(rewrite,[status(thm)],[])).
% 4.94/3.82 tff(13050,plain,
% 4.94/3.82 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s159, c_n1)) | (~m_main_v_state2(s159, c_t2)) | node9(s159) | node8(s159) | node10(s159) | (~node14(s159, s160)) | m_main_v_state2(s160, c_c2))),
% 4.94/3.82 inference(quant_inst,[status(thm)],[])).
% 4.94/3.82 tff(13051,plain,
% 4.94/3.82 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s159, c_n1)) | (~m_main_v_state2(s159, c_t2)) | node9(s159) | node8(s159) | node10(s159) | (~node14(s159, s160)) | m_main_v_state2(s160, c_c2)),
% 4.94/3.82 inference(modus_ponens,[status(thm)],[13050, 13049])).
% 4.94/3.82 tff(13052,plain,
% 4.94/3.82 ((~m_main_v_state1(s159, c_n1)) | (~m_main_v_state2(s159, c_t2)) | node9(s159) | node8(s159) | node10(s159) | m_main_v_state2(s160, c_c2)),
% 4.94/3.82 inference(unit_resolution,[status(thm)],[13051, 617, 13048])).
% 4.94/3.82 tff(13053,plain,
% 4.94/3.82 (m_main_v_state2(s160, c_c2)),
% 4.94/3.82 inference(unit_resolution,[status(thm)],[13052, 13044, 12916, 12972, 13040, 13036])).
% 4.94/3.82 tff(13054,plain,
% 4.94/3.82 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s160, c_n2)) | (~m_main_v_state2(s160, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s160, c_n2)) | (~m_main_v_state2(s160, c_c2)))),
% 4.94/3.82 inference(rewrite,[status(thm)],[])).
% 4.94/3.82 tff(13055,plain,
% 4.94/3.82 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s160, c_n2)) | (~m_main_v_state2(s160, c_c2)))),
% 4.94/3.82 inference(quant_inst,[status(thm)],[])).
% 4.94/3.82 tff(13056,plain,
% 4.94/3.82 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s160, c_n2)) | (~m_main_v_state2(s160, c_c2))),
% 4.94/3.82 inference(modus_ponens,[status(thm)],[13055, 13054])).
% 4.94/3.82 tff(13057,plain,
% 4.94/3.82 (~m_main_v_state2(s160, c_n2)),
% 4.94/3.82 inference(unit_resolution,[status(thm)],[13056, 697, 13053])).
% 4.94/3.82 tff(13058,plain,
% 4.94/3.82 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s160, c_n2) | (~node4(s160)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s160, c_n2) | (~node4(s160)))),
% 4.94/3.82 inference(rewrite,[status(thm)],[])).
% 4.94/3.82 tff(13059,plain,
% 4.94/3.82 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s160, c_n2) | (~node4(s160)))),
% 4.94/3.82 inference(quant_inst,[status(thm)],[])).
% 4.94/3.82 tff(13060,plain,
% 4.94/3.82 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s160, c_n2) | (~node4(s160))),
% 4.94/3.82 inference(modus_ponens,[status(thm)],[13059, 13058])).
% 4.94/3.82 tff(13061,plain,
% 4.94/3.82 (~node4(s160)),
% 4.94/3.82 inference(unit_resolution,[status(thm)],[13060, 388, 13057])).
% 4.94/3.82 tff(13062,plain,
% 4.94/3.82 (succ(s160, s161) <=> succ(s160, s161)),
% 4.94/3.82 inference(rewrite,[status(thm)],[])).
% 4.94/3.82 tff(13063,axiom,(succ(s160, s161)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound161')).
% 4.94/3.82 tff(13064,plain,
% 4.94/3.82 (succ(s160, s161)),
% 4.94/3.82 inference(modus_ponens,[status(thm)],[13063, 13062])).
% 4.94/3.82 tff(13065,plain,
% 4.94/3.82 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s160, s161)) | trans(s160, s161))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s160, s161)) | trans(s160, s161))),
% 4.94/3.82 inference(rewrite,[status(thm)],[])).
% 4.94/3.82 tff(13066,plain,
% 4.94/3.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s160, s161)) | trans(s160, s161))),
% 4.94/3.82 inference(quant_inst,[status(thm)],[])).
% 4.94/3.82 tff(13067,plain,
% 4.94/3.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s160, s161)) | trans(s160, s161)),
% 4.94/3.82 inference(modus_ponens,[status(thm)],[13066, 13065])).
% 4.94/3.82 tff(13068,plain,
% 4.94/3.82 (trans(s160, s161)),
% 4.94/3.82 inference(unit_resolution,[status(thm)],[13067, 13064, 32])).
% 4.94/3.82 tff(13069,plain,
% 4.94/3.82 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s160, s161)) | node7(s160, s161))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s160, s161)) | node7(s160, s161))),
% 4.94/3.82 inference(rewrite,[status(thm)],[])).
% 4.94/3.82 tff(13070,plain,
% 4.94/3.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s160, s161)) | node7(s160, s161))),
% 4.94/3.82 inference(quant_inst,[status(thm)],[])).
% 4.94/3.82 tff(13071,plain,
% 4.94/3.82 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s160, s161)) | node7(s160, s161)),
% 4.94/3.82 inference(modus_ponens,[status(thm)],[13070, 13069])).
% 4.94/3.82 tff(13072,plain,
% 4.94/3.82 (node7(s160, s161)),
% 4.94/3.82 inference(unit_resolution,[status(thm)],[13071, 206, 13068])).
% 4.94/3.82 tff(13073,plain,
% 4.94/3.82 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s160, c_c1) | node1(s160) | node2(s160) | node3(s160) | node4(s160) | node5(s160) | node6(s160, s161) | (~node7(s160, s161)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s160, c_c1) | node1(s160) | node2(s160) | node3(s160) | node4(s160) | node5(s160) | node6(s160, s161) | (~node7(s160, s161)))),
% 4.94/3.82 inference(rewrite,[status(thm)],[])).
% 4.94/3.82 tff(13074,plain,
% 4.94/3.82 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s160, c_c1) | node1(s160) | node2(s160) | node3(s160) | node4(s160) | node5(s160) | node6(s160, s161) | (~node7(s160, s161)))),
% 4.94/3.82 inference(quant_inst,[status(thm)],[])).
% 4.94/3.82 tff(13075,plain,
% 4.94/3.82 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s160, c_c1) | node1(s160) | node2(s160) | node3(s160) | node4(s160) | node5(s160) | node6(s160, s161) | (~node7(s160, s161))),
% 4.94/3.82 inference(modus_ponens,[status(thm)],[13074, 13073])).
% 4.94/3.82 tff(13076,plain,
% 4.94/3.82 (m_main_v_state1(s160, c_c1) | node1(s160) | node2(s160) | node3(s160) | node4(s160) | node5(s160) | node6(s160, s161)),
% 4.94/3.82 inference(unit_resolution,[status(thm)],[13075, 820, 13072])).
% 4.94/3.82 tff(13077,plain,
% 4.94/3.82 (node6(s160, s161)),
% 4.94/3.82 inference(unit_resolution,[status(thm)],[13076, 13061, 13025, 13021, 13017, 13013, 12996])).
% 4.94/3.82 tff(13078,plain,
% 4.94/3.82 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s160, c_t1)) | m_main_v_state1(s161, c_t1) | (~node6(s160, s161)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s160, c_t1)) | m_main_v_state1(s161, c_t1) | (~node6(s160, s161)))),
% 4.94/3.82 inference(rewrite,[status(thm)],[])).
% 4.94/3.82 tff(13079,plain,
% 4.94/3.82 (((~node6(s160, s161)) | (~m_main_v_state1(s160, c_t1)) | m_main_v_state1(s161, c_t1)) <=> ((~m_main_v_state1(s160, c_t1)) | m_main_v_state1(s161, c_t1) | (~node6(s160, s161)))),
% 4.94/3.82 inference(rewrite,[status(thm)],[])).
% 4.94/3.82 tff(13080,plain,
% 4.94/3.82 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s160, s161)) | (~m_main_v_state1(s160, c_t1)) | m_main_v_state1(s161, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s160, c_t1)) | m_main_v_state1(s161, c_t1) | (~node6(s160, s161))))),
% 4.94/3.82 inference(monotonicity,[status(thm)],[13079])).
% 4.94/3.82 tff(13081,plain,
% 4.94/3.82 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s160, s161)) | (~m_main_v_state1(s160, c_t1)) | m_main_v_state1(s161, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s160, c_t1)) | m_main_v_state1(s161, c_t1) | (~node6(s160, s161)))),
% 4.94/3.82 inference(transitivity,[status(thm)],[13080, 13078])).
% 4.94/3.82 tff(13082,plain,
% 4.94/3.82 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s160, s161)) | (~m_main_v_state1(s160, c_t1)) | m_main_v_state1(s161, c_t1))),
% 4.94/3.82 inference(quant_inst,[status(thm)],[])).
% 4.94/3.82 tff(13083,plain,
% 4.94/3.82 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s160, c_t1)) | m_main_v_state1(s161, c_t1) | (~node6(s160, s161))),
% 4.94/3.82 inference(modus_ponens,[status(thm)],[13082, 13081])).
% 4.94/3.82 tff(13084,plain,
% 4.94/3.82 (m_main_v_state1(s161, c_t1)),
% 4.94/3.82 inference(unit_resolution,[status(thm)],[13083, 856, 12988, 13077])).
% 4.94/3.82 tff(13085,plain,
% 4.94/3.82 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s160, c_t2)) | (~m_main_v_state2(s160, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s160, c_t2)) | (~m_main_v_state2(s160, c_c2)))),
% 4.94/3.82 inference(rewrite,[status(thm)],[])).
% 4.94/3.82 tff(13086,plain,
% 4.94/3.82 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s160, c_t2)) | (~m_main_v_state2(s160, c_c2)))),
% 4.94/3.82 inference(quant_inst,[status(thm)],[])).
% 4.94/3.82 tff(13087,plain,
% 4.94/3.83 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s160, c_t2)) | (~m_main_v_state2(s160, c_c2))),
% 4.94/3.83 inference(modus_ponens,[status(thm)],[13086, 13085])).
% 4.94/3.83 tff(13088,plain,
% 4.94/3.83 (~m_main_v_state2(s160, c_t2)),
% 4.94/3.83 inference(unit_resolution,[status(thm)],[13087, 260, 13053])).
% 4.94/3.83 tff(13089,plain,
% 4.94/3.83 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s160, c_t2) | (~node12(s160)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s160, c_t2) | (~node12(s160)))),
% 4.94/3.83 inference(rewrite,[status(thm)],[])).
% 4.94/3.83 tff(13090,plain,
% 4.94/3.83 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s160, c_t2) | (~node12(s160)))),
% 4.94/3.83 inference(quant_inst,[status(thm)],[])).
% 4.94/3.83 tff(13091,plain,
% 4.94/3.83 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s160, c_t2) | (~node12(s160))),
% 4.94/3.83 inference(modus_ponens,[status(thm)],[13090, 13089])).
% 4.94/3.83 tff(13092,plain,
% 4.94/3.83 (~node12(s160)),
% 4.94/3.83 inference(unit_resolution,[status(thm)],[13091, 633, 13088])).
% 4.94/3.83 tff(13093,plain,
% 4.94/3.83 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s160, c_n1) | (~node11(s160)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s160, c_n1) | (~node11(s160)))),
% 4.94/3.83 inference(rewrite,[status(thm)],[])).
% 4.94/3.83 tff(13094,plain,
% 4.94/3.83 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s160, c_n1) | (~node11(s160)))),
% 4.94/3.83 inference(quant_inst,[status(thm)],[])).
% 4.94/3.83 tff(13095,plain,
% 4.94/3.83 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s160, c_n1) | (~node11(s160))),
% 4.94/3.83 inference(modus_ponens,[status(thm)],[13094, 13093])).
% 4.94/3.83 tff(13096,plain,
% 4.94/3.83 (~node11(s160)),
% 4.94/3.83 inference(unit_resolution,[status(thm)],[13095, 238, 12992])).
% 4.94/3.83 tff(13097,plain,
% 4.94/3.83 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s160, c_c1) | (~node10(s160)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s160, c_c1) | (~node10(s160)))),
% 4.94/3.83 inference(rewrite,[status(thm)],[])).
% 4.94/3.83 tff(13098,plain,
% 4.94/3.83 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s160, c_c1) | (~node10(s160)))),
% 4.94/3.83 inference(quant_inst,[status(thm)],[])).
% 4.94/3.83 tff(13099,plain,
% 4.94/3.83 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s160, c_c1) | (~node10(s160))),
% 4.94/3.83 inference(modus_ponens,[status(thm)],[13098, 13097])).
% 4.94/3.83 tff(13100,plain,
% 4.94/3.83 (~node10(s160)),
% 4.94/3.83 inference(unit_resolution,[status(thm)],[13099, 675, 13025])).
% 4.94/3.83 tff(13101,plain,
% 4.94/3.83 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s160, c_n1) | (~node9(s160)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s160, c_n1) | (~node9(s160)))),
% 4.94/3.83 inference(rewrite,[status(thm)],[])).
% 4.94/3.83 tff(13102,plain,
% 4.94/3.83 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s160, c_n1) | (~node9(s160)))),
% 4.94/3.83 inference(quant_inst,[status(thm)],[])).
% 4.94/3.83 tff(13103,plain,
% 4.94/3.83 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s160, c_n1) | (~node9(s160))),
% 4.94/3.83 inference(modus_ponens,[status(thm)],[13102, 13101])).
% 4.94/3.83 tff(13104,plain,
% 4.94/3.83 (~node9(s160)),
% 4.94/3.83 inference(unit_resolution,[status(thm)],[13103, 686, 12992])).
% 4.94/3.83 tff(13105,plain,
% 4.94/3.83 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s160, c_n2) | (~node8(s160)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s160, c_n2) | (~node8(s160)))),
% 4.94/3.83 inference(rewrite,[status(thm)],[])).
% 4.94/3.83 tff(13106,plain,
% 4.94/3.83 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s160, c_n2) | (~node8(s160)))),
% 4.94/3.83 inference(quant_inst,[status(thm)],[])).
% 4.94/3.83 tff(13107,plain,
% 4.94/3.83 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s160, c_n2) | (~node8(s160))),
% 4.94/3.83 inference(modus_ponens,[status(thm)],[13106, 13105])).
% 4.94/3.83 tff(13108,plain,
% 4.94/3.83 (~node8(s160)),
% 4.94/3.83 inference(unit_resolution,[status(thm)],[13107, 271, 13057])).
% 4.94/3.83 tff(13109,plain,
% 4.94/3.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s160, s161)) | node14(s160, s161))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s160, s161)) | node14(s160, s161))),
% 4.94/3.83 inference(rewrite,[status(thm)],[])).
% 4.94/3.83 tff(13110,plain,
% 4.94/3.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s160, s161)) | node14(s160, s161))),
% 4.94/3.83 inference(quant_inst,[status(thm)],[])).
% 4.94/3.83 tff(13111,plain,
% 4.94/3.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s160, s161)) | node14(s160, s161)),
% 4.94/3.83 inference(modus_ponens,[status(thm)],[13110, 13109])).
% 4.94/3.83 tff(13112,plain,
% 4.94/3.83 (node14(s160, s161)),
% 4.94/3.83 inference(unit_resolution,[status(thm)],[13111, 46, 13068])).
% 4.94/3.83 tff(13113,plain,
% 4.94/3.83 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s161, c_n2) | node9(s160) | node8(s160) | node10(s160) | node11(s160) | node12(s160) | (~node14(s160, s161)) | (~m_main_v_state2(s160, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s161, c_n2) | node9(s160) | node8(s160) | node10(s160) | node11(s160) | node12(s160) | (~node14(s160, s161)) | (~m_main_v_state2(s160, c_c2)))),
% 4.94/3.83 inference(rewrite,[status(thm)],[])).
% 4.94/3.83 tff(13114,plain,
% 4.94/3.83 (((~m_main_v_state2(s160, c_c2)) | node9(s160) | node8(s160) | node10(s160) | node11(s160) | node12(s160) | (~node14(s160, s161)) | m_main_v_state2(s161, c_n2)) <=> (m_main_v_state2(s161, c_n2) | node9(s160) | node8(s160) | node10(s160) | node11(s160) | node12(s160) | (~node14(s160, s161)) | (~m_main_v_state2(s160, c_c2)))),
% 4.94/3.83 inference(rewrite,[status(thm)],[])).
% 4.94/3.83 tff(13115,plain,
% 4.94/3.83 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s160, c_c2)) | node9(s160) | node8(s160) | node10(s160) | node11(s160) | node12(s160) | (~node14(s160, s161)) | m_main_v_state2(s161, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s161, c_n2) | node9(s160) | node8(s160) | node10(s160) | node11(s160) | node12(s160) | (~node14(s160, s161)) | (~m_main_v_state2(s160, c_c2))))),
% 4.94/3.83 inference(monotonicity,[status(thm)],[13114])).
% 4.94/3.83 tff(13116,plain,
% 4.94/3.83 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s160, c_c2)) | node9(s160) | node8(s160) | node10(s160) | node11(s160) | node12(s160) | (~node14(s160, s161)) | m_main_v_state2(s161, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s161, c_n2) | node9(s160) | node8(s160) | node10(s160) | node11(s160) | node12(s160) | (~node14(s160, s161)) | (~m_main_v_state2(s160, c_c2)))),
% 4.94/3.83 inference(transitivity,[status(thm)],[13115, 13113])).
% 4.94/3.83 tff(13117,plain,
% 4.94/3.83 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s160, c_c2)) | node9(s160) | node8(s160) | node10(s160) | node11(s160) | node12(s160) | (~node14(s160, s161)) | m_main_v_state2(s161, c_n2))),
% 4.94/3.83 inference(quant_inst,[status(thm)],[])).
% 4.94/3.83 tff(13118,plain,
% 4.94/3.83 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s161, c_n2) | node9(s160) | node8(s160) | node10(s160) | node11(s160) | node12(s160) | (~node14(s160, s161)) | (~m_main_v_state2(s160, c_c2))),
% 4.94/3.83 inference(modus_ponens,[status(thm)],[13117, 13116])).
% 4.94/3.83 tff(13119,plain,
% 4.94/3.83 (m_main_v_state2(s161, c_n2) | node9(s160) | node8(s160) | node10(s160) | node11(s160) | node12(s160) | (~m_main_v_state2(s160, c_c2))),
% 4.94/3.83 inference(unit_resolution,[status(thm)],[13118, 726, 13112])).
% 4.94/3.83 tff(13120,plain,
% 4.94/3.83 (m_main_v_state2(s161, c_n2)),
% 4.94/3.83 inference(unit_resolution,[status(thm)],[13119, 13108, 13053, 13104, 13100, 13096, 13092])).
% 4.94/3.83 tff(13121,plain,
% 4.94/3.83 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s161, c_n2)) | (~m_main_v_state2(s161, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s161, c_n2)) | (~m_main_v_state2(s161, c_t2)))),
% 4.94/3.83 inference(rewrite,[status(thm)],[])).
% 4.94/3.83 tff(13122,plain,
% 4.94/3.83 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s161, c_n2)) | (~m_main_v_state2(s161, c_t2)))),
% 4.94/3.83 inference(quant_inst,[status(thm)],[])).
% 4.94/3.83 tff(13123,plain,
% 4.94/3.83 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s161, c_n2)) | (~m_main_v_state2(s161, c_t2))),
% 4.94/3.83 inference(modus_ponens,[status(thm)],[13122, 13121])).
% 4.94/3.83 tff(13124,plain,
% 4.94/3.83 (~m_main_v_state2(s161, c_t2)),
% 4.94/3.83 inference(unit_resolution,[status(thm)],[13123, 77, 13120])).
% 4.94/3.83 tff(13125,plain,
% 4.94/3.83 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s161, c_t2) | (~node15(s161)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s161, c_t2) | (~node15(s161)))),
% 4.94/3.83 inference(rewrite,[status(thm)],[])).
% 4.94/3.83 tff(13126,plain,
% 4.94/3.83 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s161, c_t2) | (~node15(s161)))),
% 4.94/3.83 inference(quant_inst,[status(thm)],[])).
% 4.94/3.83 tff(13127,plain,
% 4.94/3.83 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s161, c_t2) | (~node15(s161))),
% 4.94/3.83 inference(modus_ponens,[status(thm)],[13126, 13125])).
% 4.94/3.83 tff(13128,plain,
% 4.94/3.83 (~node15(s161)),
% 4.94/3.83 inference(unit_resolution,[status(thm)],[13127, 103, 13124])).
% 4.94/3.83 tff(13129,plain,
% 4.94/3.83 (succ(s161, s162) <=> succ(s161, s162)),
% 4.94/3.83 inference(rewrite,[status(thm)],[])).
% 4.94/3.83 tff(13130,axiom,(succ(s161, s162)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound162')).
% 4.94/3.83 tff(13131,plain,
% 4.94/3.83 (succ(s161, s162)),
% 4.94/3.83 inference(modus_ponens,[status(thm)],[13130, 13129])).
% 4.94/3.83 tff(13132,plain,
% 4.94/3.83 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s161, s162)) | trans(s161, s162))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s161, s162)) | trans(s161, s162))),
% 4.94/3.83 inference(rewrite,[status(thm)],[])).
% 4.94/3.83 tff(13133,plain,
% 4.94/3.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s161, s162)) | trans(s161, s162))),
% 4.94/3.83 inference(quant_inst,[status(thm)],[])).
% 4.94/3.83 tff(13134,plain,
% 4.94/3.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s161, s162)) | trans(s161, s162)),
% 4.94/3.83 inference(modus_ponens,[status(thm)],[13133, 13132])).
% 4.94/3.83 tff(13135,plain,
% 4.94/3.83 (trans(s161, s162)),
% 4.94/3.83 inference(unit_resolution,[status(thm)],[13134, 13131, 32])).
% 4.94/3.83 tff(13136,plain,
% 4.94/3.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s161, s162)) | node18(s161, s162))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s161, s162)) | node18(s161, s162))),
% 4.94/3.83 inference(rewrite,[status(thm)],[])).
% 4.94/3.83 tff(13137,plain,
% 4.94/3.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s161, s162)) | node18(s161, s162))),
% 4.94/3.83 inference(quant_inst,[status(thm)],[])).
% 4.94/3.83 tff(13138,plain,
% 4.94/3.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s161, s162)) | node18(s161, s162)),
% 4.94/3.83 inference(modus_ponens,[status(thm)],[13137, 13136])).
% 4.94/3.83 tff(13139,plain,
% 4.94/3.83 (node18(s161, s162)),
% 4.94/3.83 inference(unit_resolution,[status(thm)],[13138, 125, 13135])).
% 4.94/3.83 tff(13140,plain,
% 4.94/3.83 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s161) | (~node18(s161, s162)) | (~m_main_v_state1(s161, c_t1)) | (~m_main_v_state2(s161, c_n2)) | m_main_v_turn(s162, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s161) | (~node18(s161, s162)) | (~m_main_v_state1(s161, c_t1)) | (~m_main_v_state2(s161, c_n2)) | m_main_v_turn(s162, c_1))),
% 4.94/3.83 inference(rewrite,[status(thm)],[])).
% 4.94/3.83 tff(13141,plain,
% 4.94/3.83 (((~m_main_v_state1(s161, c_t1)) | (~m_main_v_state2(s161, c_n2)) | node15(s161) | (~node18(s161, s162)) | m_main_v_turn(s162, c_1)) <=> (node15(s161) | (~node18(s161, s162)) | (~m_main_v_state1(s161, c_t1)) | (~m_main_v_state2(s161, c_n2)) | m_main_v_turn(s162, c_1))),
% 4.94/3.83 inference(rewrite,[status(thm)],[])).
% 4.94/3.83 tff(13142,plain,
% 4.94/3.83 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s161, c_t1)) | (~m_main_v_state2(s161, c_n2)) | node15(s161) | (~node18(s161, s162)) | m_main_v_turn(s162, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s161) | (~node18(s161, s162)) | (~m_main_v_state1(s161, c_t1)) | (~m_main_v_state2(s161, c_n2)) | m_main_v_turn(s162, c_1)))),
% 4.94/3.83 inference(monotonicity,[status(thm)],[13141])).
% 4.94/3.83 tff(13143,plain,
% 4.94/3.83 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s161, c_t1)) | (~m_main_v_state2(s161, c_n2)) | node15(s161) | (~node18(s161, s162)) | m_main_v_turn(s162, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s161) | (~node18(s161, s162)) | (~m_main_v_state1(s161, c_t1)) | (~m_main_v_state2(s161, c_n2)) | m_main_v_turn(s162, c_1))),
% 4.94/3.83 inference(transitivity,[status(thm)],[13142, 13140])).
% 4.94/3.83 tff(13144,plain,
% 4.94/3.83 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s161, c_t1)) | (~m_main_v_state2(s161, c_n2)) | node15(s161) | (~node18(s161, s162)) | m_main_v_turn(s162, c_1))),
% 4.94/3.83 inference(quant_inst,[status(thm)],[])).
% 4.94/3.83 tff(13145,plain,
% 4.94/3.83 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s161) | (~node18(s161, s162)) | (~m_main_v_state1(s161, c_t1)) | (~m_main_v_state2(s161, c_n2)) | m_main_v_turn(s162, c_1)),
% 4.94/3.83 inference(modus_ponens,[status(thm)],[13144, 13143])).
% 4.94/3.83 tff(13146,plain,
% 4.94/3.83 (node15(s161) | (~m_main_v_state1(s161, c_t1)) | (~m_main_v_state2(s161, c_n2)) | m_main_v_turn(s162, c_1)),
% 4.94/3.83 inference(unit_resolution,[status(thm)],[13145, 992, 13139])).
% 4.94/3.83 tff(13147,plain,
% 4.94/3.83 (m_main_v_turn(s162, c_1)),
% 4.94/3.83 inference(unit_resolution,[status(thm)],[13146, 13128, 13120, 13084])).
% 4.94/3.83 tff(13148,plain,
% 4.94/3.83 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s162, c_1)) | (~m_main_v_turn(s162, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s162, c_1)) | (~m_main_v_turn(s162, c_2)))),
% 4.94/3.83 inference(rewrite,[status(thm)],[])).
% 4.94/3.83 tff(13149,plain,
% 4.94/3.83 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s162, c_1)) | (~m_main_v_turn(s162, c_2)))),
% 4.94/3.83 inference(quant_inst,[status(thm)],[])).
% 4.94/3.83 tff(13150,plain,
% 4.94/3.83 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s162, c_1)) | (~m_main_v_turn(s162, c_2))),
% 4.94/3.83 inference(modus_ponens,[status(thm)],[13149, 13148])).
% 4.94/3.83 tff(13151,plain,
% 4.94/3.83 (~m_main_v_turn(s162, c_2)),
% 4.94/3.83 inference(unit_resolution,[status(thm)],[13150, 156, 13147])).
% 4.94/3.83 tff(13152,plain,
% 4.94/3.83 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s162, c_2) | (~node12(s162)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s162, c_2) | (~node12(s162)))),
% 4.94/3.83 inference(rewrite,[status(thm)],[])).
% 4.94/3.83 tff(13153,plain,
% 4.94/3.83 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s162, c_2) | (~node12(s162)))),
% 4.94/3.83 inference(quant_inst,[status(thm)],[])).
% 4.94/3.83 tff(13154,plain,
% 4.94/3.83 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s162, c_2) | (~node12(s162))),
% 4.94/3.83 inference(modus_ponens,[status(thm)],[13153, 13152])).
% 4.94/3.83 tff(13155,plain,
% 4.94/3.83 (~node12(s162)),
% 4.94/3.83 inference(unit_resolution,[status(thm)],[13154, 184, 13151])).
% 4.94/3.83 tff(13156,plain,
% 4.94/3.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s161, s162)) | node14(s161, s162))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s161, s162)) | node14(s161, s162))),
% 4.94/3.83 inference(rewrite,[status(thm)],[])).
% 4.94/3.83 tff(13157,plain,
% 4.94/3.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s161, s162)) | node14(s161, s162))),
% 4.94/3.83 inference(quant_inst,[status(thm)],[])).
% 4.94/3.83 tff(13158,plain,
% 4.94/3.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s161, s162)) | node14(s161, s162)),
% 4.94/3.83 inference(modus_ponens,[status(thm)],[13157, 13156])).
% 4.94/3.83 tff(13159,plain,
% 4.94/3.83 (node14(s161, s162)),
% 4.94/3.83 inference(unit_resolution,[status(thm)],[13158, 46, 13135])).
% 4.94/3.83 tff(13160,plain,
% 4.94/3.83 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s161, c_t1)) | (~m_main_v_state2(s161, c_n2)) | (~node14(s161, s162)) | m_main_v_state2(s162, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s161, c_t1)) | (~m_main_v_state2(s161, c_n2)) | (~node14(s161, s162)) | m_main_v_state2(s162, c_t2))),
% 4.94/3.83 inference(rewrite,[status(thm)],[])).
% 4.94/3.83 tff(13161,plain,
% 4.94/3.83 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s161, c_t1)) | (~m_main_v_state2(s161, c_n2)) | (~node14(s161, s162)) | m_main_v_state2(s162, c_t2))),
% 4.94/3.83 inference(quant_inst,[status(thm)],[])).
% 4.94/3.83 tff(13162,plain,
% 4.94/3.83 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s161, c_t1)) | (~m_main_v_state2(s161, c_n2)) | (~node14(s161, s162)) | m_main_v_state2(s162, c_t2)),
% 4.94/3.83 inference(modus_ponens,[status(thm)],[13161, 13160])).
% 4.94/3.83 tff(13163,plain,
% 4.94/3.83 ((~m_main_v_state1(s161, c_t1)) | (~m_main_v_state2(s161, c_n2)) | m_main_v_state2(s162, c_t2)),
% 4.94/3.83 inference(unit_resolution,[status(thm)],[13162, 922, 13159])).
% 4.94/3.83 tff(13164,plain,
% 4.94/3.83 (m_main_v_state2(s162, c_t2)),
% 4.94/3.83 inference(unit_resolution,[status(thm)],[13163, 13084, 13120])).
% 4.94/3.83 tff(13165,plain,
% 4.94/3.83 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s162, c_n2)) | (~m_main_v_state2(s162, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s162, c_n2)) | (~m_main_v_state2(s162, c_t2)))),
% 4.94/3.83 inference(rewrite,[status(thm)],[])).
% 4.94/3.83 tff(13166,plain,
% 4.94/3.83 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s162, c_n2)) | (~m_main_v_state2(s162, c_t2)))),
% 4.94/3.83 inference(quant_inst,[status(thm)],[])).
% 4.94/3.83 tff(13167,plain,
% 4.94/3.83 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s162, c_n2)) | (~m_main_v_state2(s162, c_t2))),
% 4.94/3.83 inference(modus_ponens,[status(thm)],[13166, 13165])).
% 4.94/3.83 tff(13168,plain,
% 4.94/3.83 (~m_main_v_state2(s162, c_n2)),
% 4.94/3.83 inference(unit_resolution,[status(thm)],[13167, 77, 13164])).
% 4.94/3.83 tff(13169,plain,
% 4.94/3.83 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s162, c_n2) | (~node8(s162)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s162, c_n2) | (~node8(s162)))),
% 4.94/3.83 inference(rewrite,[status(thm)],[])).
% 4.94/3.83 tff(13170,plain,
% 4.94/3.83 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s162, c_n2) | (~node8(s162)))),
% 4.94/3.83 inference(quant_inst,[status(thm)],[])).
% 4.94/3.83 tff(13171,plain,
% 4.94/3.83 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s162, c_n2) | (~node8(s162))),
% 4.94/3.83 inference(modus_ponens,[status(thm)],[13170, 13169])).
% 4.94/3.83 tff(13172,plain,
% 4.94/3.83 (~node8(s162)),
% 4.94/3.83 inference(unit_resolution,[status(thm)],[13171, 271, 13168])).
% 4.94/3.83 tff(13173,plain,
% 4.94/3.83 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s162, c_n2) | (~node9(s162)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s162, c_n2) | (~node9(s162)))),
% 4.94/3.83 inference(rewrite,[status(thm)],[])).
% 4.94/3.83 tff(13174,plain,
% 4.94/3.83 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s162, c_n2) | (~node9(s162)))),
% 4.94/3.83 inference(quant_inst,[status(thm)],[])).
% 4.94/3.83 tff(13175,plain,
% 4.94/3.83 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s162, c_n2) | (~node9(s162))),
% 4.94/3.83 inference(modus_ponens,[status(thm)],[13174, 13173])).
% 4.94/3.83 tff(13176,plain,
% 4.94/3.83 (~node9(s162)),
% 4.94/3.83 inference(unit_resolution,[status(thm)],[13175, 88, 13168])).
% 4.94/3.83 tff(13177,plain,
% 4.94/3.83 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s162, c_n2) | (~node10(s162)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s162, c_n2) | (~node10(s162)))),
% 4.94/3.83 inference(rewrite,[status(thm)],[])).
% 4.94/3.83 tff(13178,plain,
% 4.94/3.83 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s162, c_n2) | (~node10(s162)))),
% 4.94/3.83 inference(quant_inst,[status(thm)],[])).
% 4.94/3.83 tff(13179,plain,
% 4.94/3.83 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s162, c_n2) | (~node10(s162))),
% 4.94/3.83 inference(modus_ponens,[status(thm)],[13178, 13177])).
% 4.94/3.83 tff(13180,plain,
% 4.94/3.83 (~node10(s162)),
% 4.94/3.83 inference(unit_resolution,[status(thm)],[13179, 249, 13168])).
% 4.94/3.83 tff(13181,plain,
% 4.94/3.83 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s162, c_t2)) | (~m_main_v_state2(s162, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s162, c_t2)) | (~m_main_v_state2(s162, c_c2)))),
% 4.94/3.83 inference(rewrite,[status(thm)],[])).
% 4.94/3.83 tff(13182,plain,
% 4.94/3.83 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s162, c_t2)) | (~m_main_v_state2(s162, c_c2)))),
% 4.94/3.83 inference(quant_inst,[status(thm)],[])).
% 4.94/3.83 tff(13183,plain,
% 4.94/3.83 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s162, c_t2)) | (~m_main_v_state2(s162, c_c2))),
% 4.94/3.83 inference(modus_ponens,[status(thm)],[13182, 13181])).
% 4.94/3.83 tff(13184,plain,
% 4.94/3.83 (~m_main_v_state2(s162, c_c2)),
% 4.94/3.83 inference(unit_resolution,[status(thm)],[13183, 260, 13164])).
% 4.94/3.83 tff(13185,plain,
% 4.94/3.83 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s161, c_n2)) | (~m_main_v_state2(s161, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s161, c_n2)) | (~m_main_v_state2(s161, c_c2)))),
% 4.94/3.83 inference(rewrite,[status(thm)],[])).
% 4.94/3.83 tff(13186,plain,
% 4.94/3.83 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s161, c_n2)) | (~m_main_v_state2(s161, c_c2)))),
% 4.94/3.83 inference(quant_inst,[status(thm)],[])).
% 4.94/3.83 tff(13187,plain,
% 4.94/3.83 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s161, c_n2)) | (~m_main_v_state2(s161, c_c2))),
% 4.94/3.83 inference(modus_ponens,[status(thm)],[13186, 13185])).
% 4.94/3.83 tff(13188,plain,
% 4.94/3.83 (~m_main_v_state2(s161, c_c2)),
% 4.94/3.83 inference(unit_resolution,[status(thm)],[13187, 697, 13120])).
% 4.94/3.83 tff(13189,plain,
% 4.94/3.83 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s161, c_c2) | (~node3(s161)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s161, c_c2) | (~node3(s161)))),
% 4.94/3.83 inference(rewrite,[status(thm)],[])).
% 4.94/3.83 tff(13190,plain,
% 4.94/3.83 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s161, c_c2) | (~node3(s161)))),
% 4.94/3.83 inference(quant_inst,[status(thm)],[])).
% 4.94/3.83 tff(13191,plain,
% 4.94/3.83 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s161, c_c2) | (~node3(s161))),
% 4.94/3.83 inference(modus_ponens,[status(thm)],[13190, 13189])).
% 4.94/3.83 tff(13192,plain,
% 4.94/3.83 (~node3(s161)),
% 4.94/3.83 inference(unit_resolution,[status(thm)],[13191, 399, 13188])).
% 5.00/3.83 tff(13193,plain,
% 5.00/3.83 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s160, c_n1) | (~m_main_v_state1(s161, c_n1)) | (~node6(s160, s161)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s160, c_n1) | (~m_main_v_state1(s161, c_n1)) | (~node6(s160, s161)))),
% 5.00/3.83 inference(rewrite,[status(thm)],[])).
% 5.00/3.83 tff(13194,plain,
% 5.00/3.83 (((~node6(s160, s161)) | m_main_v_state1(s160, c_n1) | (~m_main_v_state1(s161, c_n1))) <=> (m_main_v_state1(s160, c_n1) | (~m_main_v_state1(s161, c_n1)) | (~node6(s160, s161)))),
% 5.00/3.83 inference(rewrite,[status(thm)],[])).
% 5.00/3.83 tff(13195,plain,
% 5.00/3.83 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s160, s161)) | m_main_v_state1(s160, c_n1) | (~m_main_v_state1(s161, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s160, c_n1) | (~m_main_v_state1(s161, c_n1)) | (~node6(s160, s161))))),
% 5.00/3.83 inference(monotonicity,[status(thm)],[13194])).
% 5.00/3.83 tff(13196,plain,
% 5.00/3.83 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s160, s161)) | m_main_v_state1(s160, c_n1) | (~m_main_v_state1(s161, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s160, c_n1) | (~m_main_v_state1(s161, c_n1)) | (~node6(s160, s161)))),
% 5.00/3.83 inference(transitivity,[status(thm)],[13195, 13193])).
% 5.00/3.83 tff(13197,plain,
% 5.00/3.83 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s160, s161)) | m_main_v_state1(s160, c_n1) | (~m_main_v_state1(s161, c_n1)))),
% 5.00/3.83 inference(quant_inst,[status(thm)],[])).
% 5.00/3.83 tff(13198,plain,
% 5.00/3.83 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s160, c_n1) | (~m_main_v_state1(s161, c_n1)) | (~node6(s160, s161))),
% 5.00/3.83 inference(modus_ponens,[status(thm)],[13197, 13196])).
% 5.00/3.83 tff(13199,plain,
% 5.00/3.83 (~m_main_v_state1(s161, c_n1)),
% 5.00/3.83 inference(unit_resolution,[status(thm)],[13198, 835, 12992, 13077])).
% 5.00/3.83 tff(13200,plain,
% 5.00/3.83 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s161, c_n1) | (~node2(s161)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s161, c_n1) | (~node2(s161)))),
% 5.00/3.83 inference(rewrite,[status(thm)],[])).
% 5.00/3.83 tff(13201,plain,
% 5.00/3.83 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s161, c_n1) | (~node2(s161)))),
% 5.00/3.83 inference(quant_inst,[status(thm)],[])).
% 5.00/3.83 tff(13202,plain,
% 5.00/3.83 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s161, c_n1) | (~node2(s161))),
% 5.00/3.83 inference(modus_ponens,[status(thm)],[13201, 13200])).
% 5.00/3.83 tff(13203,plain,
% 5.00/3.83 (~node2(s161)),
% 5.00/3.83 inference(unit_resolution,[status(thm)],[13202, 787, 13199])).
% 5.00/3.83 tff(13204,plain,
% 5.00/3.83 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s161, c_t2) | (~node1(s161)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s161, c_t2) | (~node1(s161)))),
% 5.00/3.83 inference(rewrite,[status(thm)],[])).
% 5.00/3.83 tff(13205,plain,
% 5.00/3.83 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s161, c_t2) | (~node1(s161)))),
% 5.00/3.83 inference(quant_inst,[status(thm)],[])).
% 5.00/3.83 tff(13206,plain,
% 5.00/3.83 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s161, c_t2) | (~node1(s161))),
% 5.00/3.83 inference(modus_ponens,[status(thm)],[13205, 13204])).
% 5.00/3.83 tff(13207,plain,
% 5.00/3.83 (~node1(s161)),
% 5.00/3.83 inference(unit_resolution,[status(thm)],[13206, 195, 13124])).
% 5.00/3.83 tff(13208,plain,
% 5.00/3.83 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s161, s162)) | node7(s161, s162))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s161, s162)) | node7(s161, s162))),
% 5.00/3.83 inference(rewrite,[status(thm)],[])).
% 5.00/3.83 tff(13209,plain,
% 5.00/3.83 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s161, s162)) | node7(s161, s162))),
% 5.00/3.84 inference(quant_inst,[status(thm)],[])).
% 5.00/3.84 tff(13210,plain,
% 5.00/3.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s161, s162)) | node7(s161, s162)),
% 5.00/3.84 inference(modus_ponens,[status(thm)],[13209, 13208])).
% 5.00/3.84 tff(13211,plain,
% 5.00/3.84 (node7(s161, s162)),
% 5.00/3.84 inference(unit_resolution,[status(thm)],[13210, 206, 13135])).
% 5.00/3.84 tff(13212,plain,
% 5.00/3.84 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s161, c_t1)) | (~m_main_v_state2(s161, c_n2)) | m_main_v_state1(s162, c_c1) | node1(s161) | node2(s161) | node3(s161) | (~node7(s161, s162)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s161, c_t1)) | (~m_main_v_state2(s161, c_n2)) | m_main_v_state1(s162, c_c1) | node1(s161) | node2(s161) | node3(s161) | (~node7(s161, s162)))),
% 5.00/3.84 inference(rewrite,[status(thm)],[])).
% 5.00/3.84 tff(13213,plain,
% 5.00/3.84 (((~m_main_v_state1(s161, c_t1)) | (~m_main_v_state2(s161, c_n2)) | node1(s161) | node2(s161) | node3(s161) | (~node7(s161, s162)) | m_main_v_state1(s162, c_c1)) <=> ((~m_main_v_state1(s161, c_t1)) | (~m_main_v_state2(s161, c_n2)) | m_main_v_state1(s162, c_c1) | node1(s161) | node2(s161) | node3(s161) | (~node7(s161, s162)))),
% 5.00/3.84 inference(rewrite,[status(thm)],[])).
% 5.00/3.84 tff(13214,plain,
% 5.00/3.84 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s161, c_t1)) | (~m_main_v_state2(s161, c_n2)) | node1(s161) | node2(s161) | node3(s161) | (~node7(s161, s162)) | m_main_v_state1(s162, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s161, c_t1)) | (~m_main_v_state2(s161, c_n2)) | m_main_v_state1(s162, c_c1) | node1(s161) | node2(s161) | node3(s161) | (~node7(s161, s162))))),
% 5.00/3.84 inference(monotonicity,[status(thm)],[13213])).
% 5.00/3.84 tff(13215,plain,
% 5.00/3.84 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s161, c_t1)) | (~m_main_v_state2(s161, c_n2)) | node1(s161) | node2(s161) | node3(s161) | (~node7(s161, s162)) | m_main_v_state1(s162, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s161, c_t1)) | (~m_main_v_state2(s161, c_n2)) | m_main_v_state1(s162, c_c1) | node1(s161) | node2(s161) | node3(s161) | (~node7(s161, s162)))),
% 5.00/3.84 inference(transitivity,[status(thm)],[13214, 13212])).
% 5.00/3.84 tff(13216,plain,
% 5.00/3.84 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s161, c_t1)) | (~m_main_v_state2(s161, c_n2)) | node1(s161) | node2(s161) | node3(s161) | (~node7(s161, s162)) | m_main_v_state1(s162, c_c1))),
% 5.00/3.84 inference(quant_inst,[status(thm)],[])).
% 5.00/3.84 tff(13217,plain,
% 5.00/3.84 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s161, c_t1)) | (~m_main_v_state2(s161, c_n2)) | m_main_v_state1(s162, c_c1) | node1(s161) | node2(s161) | node3(s161) | (~node7(s161, s162))),
% 5.00/3.84 inference(modus_ponens,[status(thm)],[13216, 13215])).
% 5.00/3.84 tff(13218,plain,
% 5.00/3.84 ((~m_main_v_state1(s161, c_t1)) | (~m_main_v_state2(s161, c_n2)) | m_main_v_state1(s162, c_c1) | node1(s161) | node2(s161) | node3(s161)),
% 5.00/3.84 inference(unit_resolution,[status(thm)],[13217, 892, 13211])).
% 5.00/3.84 tff(13219,plain,
% 5.00/3.84 (m_main_v_state1(s162, c_c1)),
% 5.00/3.84 inference(unit_resolution,[status(thm)],[13218, 13207, 13120, 13084, 13203, 13192])).
% 5.00/3.84 tff(13220,plain,
% 5.00/3.84 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s162, c_n1)) | (~m_main_v_state1(s162, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s162, c_n1)) | (~m_main_v_state1(s162, c_c1)))),
% 5.00/3.84 inference(rewrite,[status(thm)],[])).
% 5.00/3.84 tff(13221,plain,
% 5.00/3.84 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s162, c_n1)) | (~m_main_v_state1(s162, c_c1)))),
% 5.00/3.84 inference(quant_inst,[status(thm)],[])).
% 5.00/3.84 tff(13222,plain,
% 5.00/3.84 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s162, c_n1)) | (~m_main_v_state1(s162, c_c1))),
% 5.00/3.84 inference(modus_ponens,[status(thm)],[13221, 13220])).
% 5.00/3.84 tff(13223,plain,
% 5.00/3.84 (~m_main_v_state1(s162, c_n1)),
% 5.00/3.84 inference(unit_resolution,[status(thm)],[13222, 454, 13219])).
% 5.00/3.84 tff(13224,plain,
% 5.00/3.84 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s162, c_n1) | (~node11(s162)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s162, c_n1) | (~node11(s162)))),
% 5.00/3.84 inference(rewrite,[status(thm)],[])).
% 5.00/3.84 tff(13225,plain,
% 5.00/3.84 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s162, c_n1) | (~node11(s162)))),
% 5.00/3.84 inference(quant_inst,[status(thm)],[])).
% 5.00/3.84 tff(13226,plain,
% 5.00/3.84 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s162, c_n1) | (~node11(s162))),
% 5.00/3.84 inference(modus_ponens,[status(thm)],[13225, 13224])).
% 5.00/3.84 tff(13227,plain,
% 5.00/3.84 (~node11(s162)),
% 5.00/3.84 inference(unit_resolution,[status(thm)],[13226, 238, 13223])).
% 5.00/3.84 tff(13228,plain,
% 5.00/3.84 (succ(s162, s163) <=> succ(s162, s163)),
% 5.00/3.84 inference(rewrite,[status(thm)],[])).
% 5.00/3.84 tff(13229,axiom,(succ(s162, s163)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound163')).
% 5.00/3.84 tff(13230,plain,
% 5.00/3.84 (succ(s162, s163)),
% 5.00/3.84 inference(modus_ponens,[status(thm)],[13229, 13228])).
% 5.00/3.84 tff(13231,plain,
% 5.00/3.84 (((~![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))),
% 5.00/3.84 inference(rewrite,[status(thm)],[])).
% 5.00/3.84 tff(13232,plain,
% 5.00/3.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s162, s163)) | trans(s162, s163))),
% 5.00/3.84 inference(quant_inst,[status(thm)],[])).
% 5.00/3.84 tff(13233,plain,
% 5.00/3.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s162, s163)) | trans(s162, s163)),
% 5.00/3.84 inference(modus_ponens,[status(thm)],[13232, 13231])).
% 5.00/3.84 tff(13234,plain,
% 5.00/3.84 (trans(s162, s163)),
% 5.00/3.84 inference(unit_resolution,[status(thm)],[13233, 13230, 32])).
% 5.00/3.84 tff(13235,plain,
% 5.00/3.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s162, s163)) | node14(s162, s163))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s162, s163)) | node14(s162, s163))),
% 5.00/3.84 inference(rewrite,[status(thm)],[])).
% 5.00/3.84 tff(13236,plain,
% 5.00/3.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s162, s163)) | node14(s162, s163))),
% 5.00/3.84 inference(quant_inst,[status(thm)],[])).
% 5.00/3.84 tff(13237,plain,
% 5.00/3.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s162, s163)) | node14(s162, s163)),
% 5.00/3.84 inference(modus_ponens,[status(thm)],[13236, 13235])).
% 5.00/3.84 tff(13238,plain,
% 5.00/3.84 (node14(s162, s163)),
% 5.00/3.84 inference(unit_resolution,[status(thm)],[13237, 46, 13234])).
% 5.00/3.84 tff(13239,plain,
% 5.00/3.84 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s162, c_c2) | node9(s162) | node8(s162) | node10(s162) | node11(s162) | node12(s162) | node13(s162, s163) | (~node14(s162, s163)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s162, c_c2) | node9(s162) | node8(s162) | node10(s162) | node11(s162) | node12(s162) | node13(s162, s163) | (~node14(s162, s163)))),
% 5.00/3.84 inference(rewrite,[status(thm)],[])).
% 5.00/3.84 tff(13240,plain,
% 5.00/3.84 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s162, c_c2) | node9(s162) | node8(s162) | node10(s162) | node11(s162) | node12(s162) | node13(s162, s163) | (~node14(s162, s163)))),
% 5.00/3.84 inference(quant_inst,[status(thm)],[])).
% 5.00/3.84 tff(13241,plain,
% 5.00/3.84 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s162, c_c2) | node9(s162) | node8(s162) | node10(s162) | node11(s162) | node12(s162) | node13(s162, s163) | (~node14(s162, s163))),
% 5.00/3.84 inference(modus_ponens,[status(thm)],[13240, 13239])).
% 5.00/3.84 tff(13242,plain,
% 5.00/3.84 (m_main_v_state2(s162, c_c2) | node9(s162) | node8(s162) | node10(s162) | node11(s162) | node12(s162) | node13(s162, s163)),
% 5.00/3.84 inference(unit_resolution,[status(thm)],[13241, 296, 13238])).
% 5.00/3.84 tff(13243,plain,
% 5.00/3.84 (node13(s162, s163)),
% 5.00/3.84 inference(unit_resolution,[status(thm)],[13242, 13227, 13184, 13180, 13176, 13172, 13155])).
% 5.00/3.84 tff(13244,plain,
% 5.00/3.84 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s162, c_n2) | (~m_main_v_state2(s163, c_n2)) | (~node13(s162, s163)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s162, c_n2) | (~m_main_v_state2(s163, c_n2)) | (~node13(s162, s163)))),
% 5.00/3.84 inference(rewrite,[status(thm)],[])).
% 5.00/3.84 tff(13245,plain,
% 5.00/3.84 (((~node13(s162, s163)) | m_main_v_state2(s162, c_n2) | (~m_main_v_state2(s163, c_n2))) <=> (m_main_v_state2(s162, c_n2) | (~m_main_v_state2(s163, c_n2)) | (~node13(s162, s163)))),
% 5.00/3.84 inference(rewrite,[status(thm)],[])).
% 5.00/3.84 tff(13246,plain,
% 5.00/3.84 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s162, s163)) | m_main_v_state2(s162, c_n2) | (~m_main_v_state2(s163, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s162, c_n2) | (~m_main_v_state2(s163, c_n2)) | (~node13(s162, s163))))),
% 5.00/3.84 inference(monotonicity,[status(thm)],[13245])).
% 5.00/3.84 tff(13247,plain,
% 5.00/3.84 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s162, s163)) | m_main_v_state2(s162, c_n2) | (~m_main_v_state2(s163, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s162, c_n2) | (~m_main_v_state2(s163, c_n2)) | (~node13(s162, s163)))),
% 5.00/3.84 inference(transitivity,[status(thm)],[13246, 13244])).
% 5.00/3.84 tff(13248,plain,
% 5.00/3.84 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s162, s163)) | m_main_v_state2(s162, c_n2) | (~m_main_v_state2(s163, c_n2)))),
% 5.00/3.84 inference(quant_inst,[status(thm)],[])).
% 5.00/3.84 tff(13249,plain,
% 5.00/3.84 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s162, c_n2) | (~m_main_v_state2(s163, c_n2)) | (~node13(s162, s163))),
% 5.00/3.84 inference(modus_ponens,[status(thm)],[13248, 13247])).
% 5.00/3.84 tff(13250,plain,
% 5.00/3.84 (~m_main_v_state2(s163, c_n2)),
% 5.00/3.84 inference(unit_resolution,[status(thm)],[13249, 311, 13168, 13243])).
% 5.00/3.84 tff(13251,plain,
% 5.00/3.84 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s163, c_n2) | (~node9(s163)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s163, c_n2) | (~node9(s163)))),
% 5.00/3.84 inference(rewrite,[status(thm)],[])).
% 5.00/3.84 tff(13252,plain,
% 5.00/3.84 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s163, c_n2) | (~node9(s163)))),
% 5.00/3.84 inference(quant_inst,[status(thm)],[])).
% 5.00/3.84 tff(13253,plain,
% 5.00/3.84 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s163, c_n2) | (~node9(s163))),
% 5.00/3.84 inference(modus_ponens,[status(thm)],[13252, 13251])).
% 5.00/3.84 tff(13254,plain,
% 5.00/3.84 (~node9(s163)),
% 5.00/3.84 inference(unit_resolution,[status(thm)],[13253, 88, 13250])).
% 5.00/3.84 tff(13255,plain,
% 5.00/3.84 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s163, c_n2) | (~node10(s163)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s163, c_n2) | (~node10(s163)))),
% 5.00/3.84 inference(rewrite,[status(thm)],[])).
% 5.00/3.84 tff(13256,plain,
% 5.00/3.84 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s163, c_n2) | (~node10(s163)))),
% 5.00/3.84 inference(quant_inst,[status(thm)],[])).
% 5.00/3.84 tff(13257,plain,
% 5.00/3.84 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s163, c_n2) | (~node10(s163))),
% 5.00/3.84 inference(modus_ponens,[status(thm)],[13256, 13255])).
% 5.00/3.84 tff(13258,plain,
% 5.00/3.84 (~node10(s163)),
% 5.00/3.84 inference(unit_resolution,[status(thm)],[13257, 249, 13250])).
% 5.00/3.84 tff(13259,plain,
% 5.00/3.84 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s162, c_t2)) | m_main_v_state2(s163, c_t2) | (~node13(s162, s163)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s162, c_t2)) | m_main_v_state2(s163, c_t2) | (~node13(s162, s163)))),
% 5.00/3.84 inference(rewrite,[status(thm)],[])).
% 5.00/3.84 tff(13260,plain,
% 5.00/3.84 (((~node13(s162, s163)) | (~m_main_v_state2(s162, c_t2)) | m_main_v_state2(s163, c_t2)) <=> ((~m_main_v_state2(s162, c_t2)) | m_main_v_state2(s163, c_t2) | (~node13(s162, s163)))),
% 5.00/3.84 inference(rewrite,[status(thm)],[])).
% 5.00/3.84 tff(13261,plain,
% 5.00/3.84 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s162, s163)) | (~m_main_v_state2(s162, c_t2)) | m_main_v_state2(s163, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s162, c_t2)) | m_main_v_state2(s163, c_t2) | (~node13(s162, s163))))),
% 5.00/3.84 inference(monotonicity,[status(thm)],[13260])).
% 5.00/3.84 tff(13262,plain,
% 5.00/3.84 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s162, s163)) | (~m_main_v_state2(s162, c_t2)) | m_main_v_state2(s163, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s162, c_t2)) | m_main_v_state2(s163, c_t2) | (~node13(s162, s163)))),
% 5.00/3.84 inference(transitivity,[status(thm)],[13261, 13259])).
% 5.00/3.84 tff(13263,plain,
% 5.00/3.84 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s162, s163)) | (~m_main_v_state2(s162, c_t2)) | m_main_v_state2(s163, c_t2))),
% 5.00/3.84 inference(quant_inst,[status(thm)],[])).
% 5.00/3.84 tff(13264,plain,
% 5.00/3.84 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s162, c_t2)) | m_main_v_state2(s163, c_t2) | (~node13(s162, s163))),
% 5.00/3.84 inference(modus_ponens,[status(thm)],[13263, 13262])).
% 5.00/3.84 tff(13265,plain,
% 5.00/3.84 (m_main_v_state2(s163, c_t2)),
% 5.00/3.84 inference(unit_resolution,[status(thm)],[13264, 518, 13164, 13243])).
% 5.00/3.84 tff(13266,plain,
% 5.00/3.84 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s162, c_t1)) | (~m_main_v_state1(s162, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s162, c_t1)) | (~m_main_v_state1(s162, c_c1)))),
% 5.00/3.84 inference(rewrite,[status(thm)],[])).
% 5.00/3.84 tff(13267,plain,
% 5.00/3.84 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s162, c_t1)) | (~m_main_v_state1(s162, c_c1)))),
% 5.00/3.84 inference(quant_inst,[status(thm)],[])).
% 5.00/3.84 tff(13268,plain,
% 5.00/3.84 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s162, c_t1)) | (~m_main_v_state1(s162, c_c1))),
% 5.00/3.84 inference(modus_ponens,[status(thm)],[13267, 13266])).
% 5.00/3.84 tff(13269,plain,
% 5.00/3.84 (~m_main_v_state1(s162, c_t1)),
% 5.00/3.84 inference(unit_resolution,[status(thm)],[13268, 539, 13219])).
% 5.00/3.84 tff(13270,plain,
% 5.00/3.84 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s162, c_t1) | (~node5(s162)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s162, c_t1) | (~node5(s162)))),
% 5.00/3.84 inference(rewrite,[status(thm)],[])).
% 5.00/3.84 tff(13271,plain,
% 5.00/3.84 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s162, c_t1) | (~node5(s162)))),
% 5.00/3.84 inference(quant_inst,[status(thm)],[])).
% 5.00/3.84 tff(13272,plain,
% 5.00/3.84 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s162, c_t1) | (~node5(s162))),
% 5.00/3.84 inference(modus_ponens,[status(thm)],[13271, 13270])).
% 5.00/3.84 tff(13273,plain,
% 5.00/3.84 (~node5(s162)),
% 5.00/3.84 inference(unit_resolution,[status(thm)],[13272, 550, 13269])).
% 5.00/3.84 tff(13274,plain,
% 5.00/3.84 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s162, c_n2) | (~node4(s162)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s162, c_n2) | (~node4(s162)))),
% 5.00/3.84 inference(rewrite,[status(thm)],[])).
% 5.00/3.84 tff(13275,plain,
% 5.00/3.84 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s162, c_n2) | (~node4(s162)))),
% 5.00/3.84 inference(quant_inst,[status(thm)],[])).
% 5.00/3.84 tff(13276,plain,
% 5.00/3.84 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s162, c_n2) | (~node4(s162))),
% 5.00/3.84 inference(modus_ponens,[status(thm)],[13275, 13274])).
% 5.00/3.84 tff(13277,plain,
% 5.00/3.84 (~node4(s162)),
% 5.00/3.84 inference(unit_resolution,[status(thm)],[13276, 388, 13168])).
% 5.00/3.84 tff(13278,plain,
% 5.00/3.84 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s162, c_c2) | (~node3(s162)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s162, c_c2) | (~node3(s162)))),
% 5.00/3.84 inference(rewrite,[status(thm)],[])).
% 5.00/3.84 tff(13279,plain,
% 5.00/3.84 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s162, c_c2) | (~node3(s162)))),
% 5.00/3.84 inference(quant_inst,[status(thm)],[])).
% 5.00/3.84 tff(13280,plain,
% 5.00/3.84 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s162, c_c2) | (~node3(s162))),
% 5.00/3.84 inference(modus_ponens,[status(thm)],[13279, 13278])).
% 5.00/3.84 tff(13281,plain,
% 5.00/3.84 (~node3(s162)),
% 5.00/3.84 inference(unit_resolution,[status(thm)],[13280, 399, 13184])).
% 5.00/3.84 tff(13282,plain,
% 5.00/3.84 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s162, c_n2) | (~node2(s162)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s162, c_n2) | (~node2(s162)))),
% 5.00/3.84 inference(rewrite,[status(thm)],[])).
% 5.00/3.84 tff(13283,plain,
% 5.00/3.84 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s162, c_n2) | (~node2(s162)))),
% 5.00/3.84 inference(quant_inst,[status(thm)],[])).
% 5.00/3.84 tff(13284,plain,
% 5.00/3.84 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s162, c_n2) | (~node2(s162))),
% 5.00/3.84 inference(modus_ponens,[status(thm)],[13283, 13282])).
% 5.00/3.84 tff(13285,plain,
% 5.00/3.84 (~node2(s162)),
% 5.00/3.84 inference(unit_resolution,[status(thm)],[13284, 410, 13168])).
% 5.00/3.84 tff(13286,plain,
% 5.00/3.84 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s162, c_n1) | (~node1(s162)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s162, c_n1) | (~node1(s162)))),
% 5.00/3.84 inference(rewrite,[status(thm)],[])).
% 5.00/3.84 tff(13287,plain,
% 5.00/3.84 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s162, c_n1) | (~node1(s162)))),
% 5.00/3.84 inference(quant_inst,[status(thm)],[])).
% 5.00/3.84 tff(13288,plain,
% 5.00/3.84 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s162, c_n1) | (~node1(s162))),
% 5.00/3.84 inference(modus_ponens,[status(thm)],[13287, 13286])).
% 5.00/3.84 tff(13289,plain,
% 5.00/3.84 (~node1(s162)),
% 5.00/3.84 inference(unit_resolution,[status(thm)],[13288, 421, 13223])).
% 5.00/3.84 tff(13290,plain,
% 5.00/3.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s162, s163)) | node7(s162, s163))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s162, s163)) | node7(s162, s163))),
% 5.00/3.84 inference(rewrite,[status(thm)],[])).
% 5.00/3.84 tff(13291,plain,
% 5.00/3.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s162, s163)) | node7(s162, s163))),
% 5.00/3.84 inference(quant_inst,[status(thm)],[])).
% 5.00/3.84 tff(13292,plain,
% 5.00/3.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s162, s163)) | node7(s162, s163)),
% 5.00/3.84 inference(modus_ponens,[status(thm)],[13291, 13290])).
% 5.00/3.84 tff(13293,plain,
% 5.00/3.84 (node7(s162, s163)),
% 5.00/3.84 inference(unit_resolution,[status(thm)],[13292, 206, 13234])).
% 5.00/3.84 tff(13294,plain,
% 5.00/3.84 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s163, c_n1) | (~m_main_v_state1(s162, c_c1)) | node1(s162) | node2(s162) | node3(s162) | node4(s162) | node5(s162) | (~node7(s162, s163)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s163, c_n1) | (~m_main_v_state1(s162, c_c1)) | node1(s162) | node2(s162) | node3(s162) | node4(s162) | node5(s162) | (~node7(s162, s163)))),
% 5.00/3.84 inference(rewrite,[status(thm)],[])).
% 5.00/3.84 tff(13295,plain,
% 5.00/3.84 (((~m_main_v_state1(s162, c_c1)) | node1(s162) | node2(s162) | node3(s162) | node4(s162) | node5(s162) | (~node7(s162, s163)) | m_main_v_state1(s163, c_n1)) <=> (m_main_v_state1(s163, c_n1) | (~m_main_v_state1(s162, c_c1)) | node1(s162) | node2(s162) | node3(s162) | node4(s162) | node5(s162) | (~node7(s162, s163)))),
% 5.00/3.84 inference(rewrite,[status(thm)],[])).
% 5.00/3.84 tff(13296,plain,
% 5.00/3.84 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s162, c_c1)) | node1(s162) | node2(s162) | node3(s162) | node4(s162) | node5(s162) | (~node7(s162, s163)) | m_main_v_state1(s163, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s163, c_n1) | (~m_main_v_state1(s162, c_c1)) | node1(s162) | node2(s162) | node3(s162) | node4(s162) | node5(s162) | (~node7(s162, s163))))),
% 5.00/3.84 inference(monotonicity,[status(thm)],[13295])).
% 5.00/3.84 tff(13297,plain,
% 5.00/3.84 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s162, c_c1)) | node1(s162) | node2(s162) | node3(s162) | node4(s162) | node5(s162) | (~node7(s162, s163)) | m_main_v_state1(s163, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s163, c_n1) | (~m_main_v_state1(s162, c_c1)) | node1(s162) | node2(s162) | node3(s162) | node4(s162) | node5(s162) | (~node7(s162, s163)))),
% 5.00/3.84 inference(transitivity,[status(thm)],[13296, 13294])).
% 5.00/3.84 tff(13298,plain,
% 5.00/3.84 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s162, c_c1)) | node1(s162) | node2(s162) | node3(s162) | node4(s162) | node5(s162) | (~node7(s162, s163)) | m_main_v_state1(s163, c_n1))),
% 5.00/3.84 inference(quant_inst,[status(thm)],[])).
% 5.00/3.84 tff(13299,plain,
% 5.00/3.84 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s163, c_n1) | (~m_main_v_state1(s162, c_c1)) | node1(s162) | node2(s162) | node3(s162) | node4(s162) | node5(s162) | (~node7(s162, s163))),
% 5.00/3.84 inference(modus_ponens,[status(thm)],[13298, 13297])).
% 5.00/3.84 tff(13300,plain,
% 5.00/3.84 (m_main_v_state1(s163, c_n1) | (~m_main_v_state1(s162, c_c1)) | node1(s162) | node2(s162) | node3(s162) | node4(s162) | node5(s162)),
% 5.00/3.84 inference(unit_resolution,[status(thm)],[13299, 584, 13293])).
% 5.00/3.84 tff(13301,plain,
% 5.00/3.84 (m_main_v_state1(s163, c_n1)),
% 5.00/3.84 inference(unit_resolution,[status(thm)],[13300, 13289, 13219, 13285, 13281, 13277, 13273])).
% 5.00/3.84 tff(13302,plain,
% 5.00/3.84 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s163, c_n2) | (~node8(s163)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s163, c_n2) | (~node8(s163)))),
% 5.00/3.84 inference(rewrite,[status(thm)],[])).
% 5.00/3.84 tff(13303,plain,
% 5.00/3.84 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s163, c_n2) | (~node8(s163)))),
% 5.00/3.84 inference(quant_inst,[status(thm)],[])).
% 5.00/3.84 tff(13304,plain,
% 5.00/3.84 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s163, c_n2) | (~node8(s163))),
% 5.00/3.84 inference(modus_ponens,[status(thm)],[13303, 13302])).
% 5.00/3.84 tff(13305,plain,
% 5.00/3.84 (~node8(s163)),
% 5.00/3.84 inference(unit_resolution,[status(thm)],[13304, 271, 13250])).
% 5.00/3.84 tff(13306,plain,
% 5.00/3.84 (succ(s163, s164) <=> succ(s163, s164)),
% 5.00/3.84 inference(rewrite,[status(thm)],[])).
% 5.00/3.84 tff(13307,axiom,(succ(s163, s164)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound164')).
% 5.00/3.84 tff(13308,plain,
% 5.00/3.84 (succ(s163, s164)),
% 5.00/3.84 inference(modus_ponens,[status(thm)],[13307, 13306])).
% 5.00/3.84 tff(13309,plain,
% 5.00/3.84 (((~![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))),
% 5.00/3.84 inference(rewrite,[status(thm)],[])).
% 5.00/3.84 tff(13310,plain,
% 5.00/3.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s163, s164)) | trans(s163, s164))),
% 5.00/3.84 inference(quant_inst,[status(thm)],[])).
% 5.00/3.84 tff(13311,plain,
% 5.00/3.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s163, s164)) | trans(s163, s164)),
% 5.00/3.84 inference(modus_ponens,[status(thm)],[13310, 13309])).
% 5.00/3.84 tff(13312,plain,
% 5.00/3.84 (trans(s163, s164)),
% 5.00/3.84 inference(unit_resolution,[status(thm)],[13311, 13308, 32])).
% 5.00/3.84 tff(13313,plain,
% 5.00/3.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s163, s164)) | node14(s163, s164))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s163, s164)) | node14(s163, s164))),
% 5.00/3.84 inference(rewrite,[status(thm)],[])).
% 5.00/3.84 tff(13314,plain,
% 5.00/3.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s163, s164)) | node14(s163, s164))),
% 5.00/3.84 inference(quant_inst,[status(thm)],[])).
% 5.00/3.84 tff(13315,plain,
% 5.00/3.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s163, s164)) | node14(s163, s164)),
% 5.00/3.84 inference(modus_ponens,[status(thm)],[13314, 13313])).
% 5.00/3.84 tff(13316,plain,
% 5.00/3.84 (node14(s163, s164)),
% 5.00/3.84 inference(unit_resolution,[status(thm)],[13315, 46, 13312])).
% 5.00/3.84 tff(13317,plain,
% 5.00/3.84 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s163, c_n1)) | (~m_main_v_state2(s163, c_t2)) | node9(s163) | node8(s163) | node10(s163) | (~node14(s163, s164)) | m_main_v_state2(s164, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s163, c_n1)) | (~m_main_v_state2(s163, c_t2)) | node9(s163) | node8(s163) | node10(s163) | (~node14(s163, s164)) | m_main_v_state2(s164, c_c2))),
% 5.00/3.84 inference(rewrite,[status(thm)],[])).
% 5.00/3.84 tff(13318,plain,
% 5.00/3.84 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s163, c_n1)) | (~m_main_v_state2(s163, c_t2)) | node9(s163) | node8(s163) | node10(s163) | (~node14(s163, s164)) | m_main_v_state2(s164, c_c2))),
% 5.00/3.84 inference(quant_inst,[status(thm)],[])).
% 5.00/3.84 tff(13319,plain,
% 5.00/3.84 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s163, c_n1)) | (~m_main_v_state2(s163, c_t2)) | node9(s163) | node8(s163) | node10(s163) | (~node14(s163, s164)) | m_main_v_state2(s164, c_c2)),
% 5.00/3.84 inference(modus_ponens,[status(thm)],[13318, 13317])).
% 5.00/3.84 tff(13320,plain,
% 5.00/3.84 ((~m_main_v_state1(s163, c_n1)) | (~m_main_v_state2(s163, c_t2)) | node9(s163) | node8(s163) | node10(s163) | m_main_v_state2(s164, c_c2)),
% 5.00/3.84 inference(unit_resolution,[status(thm)],[13319, 617, 13316])).
% 5.00/3.84 tff(13321,plain,
% 5.00/3.84 (m_main_v_state2(s164, c_c2)),
% 5.00/3.84 inference(unit_resolution,[status(thm)],[13320, 13305, 13301, 13265, 13258, 13254])).
% 5.00/3.84 tff(13322,plain,
% 5.00/3.84 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s164, c_t2)) | (~m_main_v_state2(s164, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s164, c_t2)) | (~m_main_v_state2(s164, c_c2)))),
% 5.00/3.85 inference(rewrite,[status(thm)],[])).
% 5.00/3.85 tff(13323,plain,
% 5.00/3.85 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s164, c_t2)) | (~m_main_v_state2(s164, c_c2)))),
% 5.00/3.85 inference(quant_inst,[status(thm)],[])).
% 5.00/3.85 tff(13324,plain,
% 5.00/3.85 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s164, c_t2)) | (~m_main_v_state2(s164, c_c2))),
% 5.00/3.85 inference(modus_ponens,[status(thm)],[13323, 13322])).
% 5.00/3.85 tff(13325,plain,
% 5.00/3.85 (~m_main_v_state2(s164, c_t2)),
% 5.00/3.85 inference(unit_resolution,[status(thm)],[13324, 260, 13321])).
% 5.00/3.85 tff(13326,plain,
% 5.00/3.85 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s164, c_t2) | (~node12(s164)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s164, c_t2) | (~node12(s164)))),
% 5.00/3.85 inference(rewrite,[status(thm)],[])).
% 5.00/3.85 tff(13327,plain,
% 5.00/3.85 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s164, c_t2) | (~node12(s164)))),
% 5.00/3.85 inference(quant_inst,[status(thm)],[])).
% 5.00/3.85 tff(13328,plain,
% 5.00/3.85 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s164, c_t2) | (~node12(s164))),
% 5.00/3.85 inference(modus_ponens,[status(thm)],[13327, 13326])).
% 5.00/3.85 tff(13329,plain,
% 5.00/3.85 (~node12(s164)),
% 5.00/3.85 inference(unit_resolution,[status(thm)],[13328, 633, 13325])).
% 5.00/3.85 tff(13330,plain,
% 5.00/3.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s163, s164)) | node7(s163, s164))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s163, s164)) | node7(s163, s164))),
% 5.00/3.85 inference(rewrite,[status(thm)],[])).
% 5.00/3.85 tff(13331,plain,
% 5.00/3.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s163, s164)) | node7(s163, s164))),
% 5.00/3.85 inference(quant_inst,[status(thm)],[])).
% 5.00/3.85 tff(13332,plain,
% 5.00/3.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s163, s164)) | node7(s163, s164)),
% 5.00/3.85 inference(modus_ponens,[status(thm)],[13331, 13330])).
% 5.00/3.85 tff(13333,plain,
% 5.00/3.85 (node7(s163, s164)),
% 5.00/3.85 inference(unit_resolution,[status(thm)],[13332, 206, 13312])).
% 5.00/3.85 tff(13334,plain,
% 5.00/3.85 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s163, c_n1)) | (~m_main_v_state2(s163, c_t2)) | (~node7(s163, s164)) | m_main_v_state1(s164, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s163, c_n1)) | (~m_main_v_state2(s163, c_t2)) | (~node7(s163, s164)) | m_main_v_state1(s164, c_t1))),
% 5.00/3.85 inference(rewrite,[status(thm)],[])).
% 5.00/3.85 tff(13335,plain,
% 5.00/3.85 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s163, c_n1)) | (~m_main_v_state2(s163, c_t2)) | (~node7(s163, s164)) | m_main_v_state1(s164, c_t1))),
% 5.00/3.85 inference(quant_inst,[status(thm)],[])).
% 5.00/3.85 tff(13336,plain,
% 5.00/3.85 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s163, c_n1)) | (~m_main_v_state2(s163, c_t2)) | (~node7(s163, s164)) | m_main_v_state1(s164, c_t1)),
% 5.00/3.85 inference(modus_ponens,[status(thm)],[13335, 13334])).
% 5.00/3.85 tff(13337,plain,
% 5.00/3.85 ((~m_main_v_state1(s163, c_n1)) | (~m_main_v_state2(s163, c_t2)) | m_main_v_state1(s164, c_t1)),
% 5.00/3.85 inference(unit_resolution,[status(thm)],[13336, 651, 13333])).
% 5.00/3.85 tff(13338,plain,
% 5.00/3.85 (m_main_v_state1(s164, c_t1)),
% 5.00/3.85 inference(unit_resolution,[status(thm)],[13337, 13265, 13301])).
% 5.00/3.85 tff(13339,plain,
% 5.00/3.85 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s164, c_n1)) | (~m_main_v_state1(s164, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s164, c_n1)) | (~m_main_v_state1(s164, c_t1)))),
% 5.00/3.85 inference(rewrite,[status(thm)],[])).
% 5.00/3.85 tff(13340,plain,
% 5.00/3.85 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s164, c_n1)) | (~m_main_v_state1(s164, c_t1)))),
% 5.00/3.85 inference(quant_inst,[status(thm)],[])).
% 5.00/3.85 tff(13341,plain,
% 5.00/3.85 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s164, c_n1)) | (~m_main_v_state1(s164, c_t1))),
% 5.00/3.85 inference(modus_ponens,[status(thm)],[13340, 13339])).
% 5.00/3.85 tff(13342,plain,
% 5.00/3.85 (~m_main_v_state1(s164, c_n1)),
% 5.00/3.85 inference(unit_resolution,[status(thm)],[13341, 10, 13338])).
% 5.00/3.85 tff(13343,plain,
% 5.00/3.85 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s164, c_n1) | (~node11(s164)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s164, c_n1) | (~node11(s164)))),
% 5.00/3.85 inference(rewrite,[status(thm)],[])).
% 5.00/3.85 tff(13344,plain,
% 5.00/3.85 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s164, c_n1) | (~node11(s164)))),
% 5.00/3.85 inference(quant_inst,[status(thm)],[])).
% 5.00/3.85 tff(13345,plain,
% 5.00/3.85 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s164, c_n1) | (~node11(s164))),
% 5.00/3.85 inference(modus_ponens,[status(thm)],[13344, 13343])).
% 5.00/3.85 tff(13346,plain,
% 5.00/3.85 (~node11(s164)),
% 5.00/3.85 inference(unit_resolution,[status(thm)],[13345, 238, 13342])).
% 5.00/3.85 tff(13347,plain,
% 5.00/3.85 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s164, c_t1)) | (~m_main_v_state1(s164, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s164, c_t1)) | (~m_main_v_state1(s164, c_c1)))),
% 5.00/3.85 inference(rewrite,[status(thm)],[])).
% 5.00/3.85 tff(13348,plain,
% 5.00/3.85 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s164, c_t1)) | (~m_main_v_state1(s164, c_c1)))),
% 5.00/3.85 inference(quant_inst,[status(thm)],[])).
% 5.00/3.85 tff(13349,plain,
% 5.00/3.85 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s164, c_t1)) | (~m_main_v_state1(s164, c_c1))),
% 5.00/3.85 inference(modus_ponens,[status(thm)],[13348, 13347])).
% 5.00/3.85 tff(13350,plain,
% 5.00/3.85 (~m_main_v_state1(s164, c_c1)),
% 5.00/3.85 inference(unit_resolution,[status(thm)],[13349, 539, 13338])).
% 5.00/3.85 tff(13351,plain,
% 5.00/3.85 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s164, c_c1) | (~node10(s164)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s164, c_c1) | (~node10(s164)))),
% 5.00/3.85 inference(rewrite,[status(thm)],[])).
% 5.00/3.85 tff(13352,plain,
% 5.00/3.85 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s164, c_c1) | (~node10(s164)))),
% 5.00/3.85 inference(quant_inst,[status(thm)],[])).
% 5.00/3.85 tff(13353,plain,
% 5.00/3.85 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s164, c_c1) | (~node10(s164))),
% 5.00/3.85 inference(modus_ponens,[status(thm)],[13352, 13351])).
% 5.00/3.85 tff(13354,plain,
% 5.00/3.85 (~node10(s164)),
% 5.00/3.85 inference(unit_resolution,[status(thm)],[13353, 675, 13350])).
% 5.00/3.85 tff(13355,plain,
% 5.00/3.85 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s164, c_n1) | (~node9(s164)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s164, c_n1) | (~node9(s164)))),
% 5.00/3.85 inference(rewrite,[status(thm)],[])).
% 5.00/3.85 tff(13356,plain,
% 5.00/3.85 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s164, c_n1) | (~node9(s164)))),
% 5.00/3.85 inference(quant_inst,[status(thm)],[])).
% 5.00/3.85 tff(13357,plain,
% 5.00/3.85 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s164, c_n1) | (~node9(s164))),
% 5.00/3.85 inference(modus_ponens,[status(thm)],[13356, 13355])).
% 5.00/3.85 tff(13358,plain,
% 5.00/3.85 (~node9(s164)),
% 5.00/3.85 inference(unit_resolution,[status(thm)],[13357, 686, 13342])).
% 5.00/3.85 tff(13359,plain,
% 5.00/3.85 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s164, c_n2)) | (~m_main_v_state2(s164, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s164, c_n2)) | (~m_main_v_state2(s164, c_c2)))),
% 5.00/3.85 inference(rewrite,[status(thm)],[])).
% 5.00/3.85 tff(13360,plain,
% 5.00/3.85 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s164, c_n2)) | (~m_main_v_state2(s164, c_c2)))),
% 5.00/3.85 inference(quant_inst,[status(thm)],[])).
% 5.00/3.85 tff(13361,plain,
% 5.00/3.85 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s164, c_n2)) | (~m_main_v_state2(s164, c_c2))),
% 5.00/3.85 inference(modus_ponens,[status(thm)],[13360, 13359])).
% 5.00/3.85 tff(13362,plain,
% 5.00/3.85 (~m_main_v_state2(s164, c_n2)),
% 5.00/3.85 inference(unit_resolution,[status(thm)],[13361, 697, 13321])).
% 5.00/3.85 tff(13363,plain,
% 5.00/3.85 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s164, c_n2) | (~node8(s164)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s164, c_n2) | (~node8(s164)))),
% 5.00/3.85 inference(rewrite,[status(thm)],[])).
% 5.00/3.85 tff(13364,plain,
% 5.00/3.85 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s164, c_n2) | (~node8(s164)))),
% 5.00/3.85 inference(quant_inst,[status(thm)],[])).
% 5.00/3.85 tff(13365,plain,
% 5.00/3.85 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s164, c_n2) | (~node8(s164))),
% 5.00/3.85 inference(modus_ponens,[status(thm)],[13364, 13363])).
% 5.00/3.85 tff(13366,plain,
% 5.00/3.85 (~node8(s164)),
% 5.00/3.85 inference(unit_resolution,[status(thm)],[13365, 271, 13362])).
% 5.00/3.85 tff(13367,plain,
% 5.00/3.85 (succ(s164, s165) <=> succ(s164, s165)),
% 5.00/3.85 inference(rewrite,[status(thm)],[])).
% 5.00/3.85 tff(13368,axiom,(succ(s164, s165)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound165')).
% 5.00/3.85 tff(13369,plain,
% 5.00/3.85 (succ(s164, s165)),
% 5.00/3.85 inference(modus_ponens,[status(thm)],[13368, 13367])).
% 5.00/3.85 tff(13370,plain,
% 5.00/3.85 (((~![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))),
% 5.00/3.85 inference(rewrite,[status(thm)],[])).
% 5.00/3.85 tff(13371,plain,
% 5.00/3.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s164, s165)) | trans(s164, s165))),
% 5.00/3.85 inference(quant_inst,[status(thm)],[])).
% 5.00/3.85 tff(13372,plain,
% 5.00/3.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s164, s165)) | trans(s164, s165)),
% 5.00/3.85 inference(modus_ponens,[status(thm)],[13371, 13370])).
% 5.00/3.85 tff(13373,plain,
% 5.00/3.85 (trans(s164, s165)),
% 5.00/3.85 inference(unit_resolution,[status(thm)],[13372, 13369, 32])).
% 5.00/3.85 tff(13374,plain,
% 5.00/3.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s164, s165)) | node14(s164, s165))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s164, s165)) | node14(s164, s165))),
% 5.00/3.85 inference(rewrite,[status(thm)],[])).
% 5.00/3.85 tff(13375,plain,
% 5.00/3.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s164, s165)) | node14(s164, s165))),
% 5.00/3.85 inference(quant_inst,[status(thm)],[])).
% 5.00/3.85 tff(13376,plain,
% 5.00/3.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s164, s165)) | node14(s164, s165)),
% 5.00/3.85 inference(modus_ponens,[status(thm)],[13375, 13374])).
% 5.00/3.85 tff(13377,plain,
% 5.00/3.85 (node14(s164, s165)),
% 5.00/3.85 inference(unit_resolution,[status(thm)],[13376, 46, 13373])).
% 5.00/3.85 tff(13378,plain,
% 5.00/3.85 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s165, c_n2) | node9(s164) | node8(s164) | node10(s164) | node11(s164) | node12(s164) | (~node14(s164, s165)) | (~m_main_v_state2(s164, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s165, c_n2) | node9(s164) | node8(s164) | node10(s164) | node11(s164) | node12(s164) | (~node14(s164, s165)) | (~m_main_v_state2(s164, c_c2)))),
% 5.00/3.85 inference(rewrite,[status(thm)],[])).
% 5.00/3.85 tff(13379,plain,
% 5.00/3.85 (((~m_main_v_state2(s164, c_c2)) | node9(s164) | node8(s164) | node10(s164) | node11(s164) | node12(s164) | (~node14(s164, s165)) | m_main_v_state2(s165, c_n2)) <=> (m_main_v_state2(s165, c_n2) | node9(s164) | node8(s164) | node10(s164) | node11(s164) | node12(s164) | (~node14(s164, s165)) | (~m_main_v_state2(s164, c_c2)))),
% 5.00/3.85 inference(rewrite,[status(thm)],[])).
% 5.00/3.85 tff(13380,plain,
% 5.00/3.85 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s164, c_c2)) | node9(s164) | node8(s164) | node10(s164) | node11(s164) | node12(s164) | (~node14(s164, s165)) | m_main_v_state2(s165, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s165, c_n2) | node9(s164) | node8(s164) | node10(s164) | node11(s164) | node12(s164) | (~node14(s164, s165)) | (~m_main_v_state2(s164, c_c2))))),
% 5.00/3.85 inference(monotonicity,[status(thm)],[13379])).
% 5.00/3.85 tff(13381,plain,
% 5.00/3.85 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s164, c_c2)) | node9(s164) | node8(s164) | node10(s164) | node11(s164) | node12(s164) | (~node14(s164, s165)) | m_main_v_state2(s165, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s165, c_n2) | node9(s164) | node8(s164) | node10(s164) | node11(s164) | node12(s164) | (~node14(s164, s165)) | (~m_main_v_state2(s164, c_c2)))),
% 5.00/3.85 inference(transitivity,[status(thm)],[13380, 13378])).
% 5.00/3.85 tff(13382,plain,
% 5.00/3.85 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s164, c_c2)) | node9(s164) | node8(s164) | node10(s164) | node11(s164) | node12(s164) | (~node14(s164, s165)) | m_main_v_state2(s165, c_n2))),
% 5.00/3.85 inference(quant_inst,[status(thm)],[])).
% 5.00/3.85 tff(13383,plain,
% 5.00/3.85 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s165, c_n2) | node9(s164) | node8(s164) | node10(s164) | node11(s164) | node12(s164) | (~node14(s164, s165)) | (~m_main_v_state2(s164, c_c2))),
% 5.00/3.85 inference(modus_ponens,[status(thm)],[13382, 13381])).
% 5.00/3.85 tff(13384,plain,
% 5.00/3.85 (m_main_v_state2(s165, c_n2) | node9(s164) | node8(s164) | node10(s164) | node11(s164) | node12(s164) | (~m_main_v_state2(s164, c_c2))),
% 5.00/3.85 inference(unit_resolution,[status(thm)],[13383, 726, 13377])).
% 5.00/3.85 tff(13385,plain,
% 5.00/3.85 (m_main_v_state2(s165, c_n2)),
% 5.00/3.85 inference(unit_resolution,[status(thm)],[13384, 13366, 13321, 13358, 13354, 13346, 13329])).
% 5.00/3.85 tff(13386,plain,
% 5.00/3.85 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s165, c_n2)) | (~m_main_v_state2(s165, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s165, c_n2)) | (~m_main_v_state2(s165, c_c2)))),
% 5.00/3.85 inference(rewrite,[status(thm)],[])).
% 5.00/3.85 tff(13387,plain,
% 5.00/3.85 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s165, c_n2)) | (~m_main_v_state2(s165, c_c2)))),
% 5.00/3.85 inference(quant_inst,[status(thm)],[])).
% 5.00/3.85 tff(13388,plain,
% 5.00/3.85 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s165, c_n2)) | (~m_main_v_state2(s165, c_c2))),
% 5.00/3.85 inference(modus_ponens,[status(thm)],[13387, 13386])).
% 5.00/3.85 tff(13389,plain,
% 5.00/3.85 (~m_main_v_state2(s165, c_c2)),
% 5.00/3.85 inference(unit_resolution,[status(thm)],[13388, 697, 13385])).
% 5.00/3.85 tff(13390,plain,
% 5.00/3.85 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s165, c_c2) | (~node3(s165)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s165, c_c2) | (~node3(s165)))),
% 5.00/3.85 inference(rewrite,[status(thm)],[])).
% 5.00/3.85 tff(13391,plain,
% 5.00/3.85 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s165, c_c2) | (~node3(s165)))),
% 5.00/3.85 inference(quant_inst,[status(thm)],[])).
% 5.00/3.85 tff(13392,plain,
% 5.00/3.85 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s165, c_c2) | (~node3(s165))),
% 5.00/3.85 inference(modus_ponens,[status(thm)],[13391, 13390])).
% 5.00/3.85 tff(13393,plain,
% 5.00/3.85 (~node3(s165)),
% 5.00/3.85 inference(unit_resolution,[status(thm)],[13392, 399, 13389])).
% 5.00/3.85 tff(13394,plain,
% 5.00/3.85 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s164, c_n1) | (~node1(s164)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s164, c_n1) | (~node1(s164)))),
% 5.00/3.85 inference(rewrite,[status(thm)],[])).
% 5.00/3.85 tff(13395,plain,
% 5.00/3.85 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s164, c_n1) | (~node1(s164)))),
% 5.00/3.85 inference(quant_inst,[status(thm)],[])).
% 5.00/3.85 tff(13396,plain,
% 5.00/3.85 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s164, c_n1) | (~node1(s164))),
% 5.00/3.85 inference(modus_ponens,[status(thm)],[13395, 13394])).
% 5.00/3.85 tff(13397,plain,
% 5.00/3.85 (~node1(s164)),
% 5.00/3.85 inference(unit_resolution,[status(thm)],[13396, 421, 13342])).
% 5.00/3.85 tff(13398,plain,
% 5.00/3.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s163, s164)) | node18(s163, s164))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s163, s164)) | node18(s163, s164))),
% 5.00/3.85 inference(rewrite,[status(thm)],[])).
% 5.00/3.85 tff(13399,plain,
% 5.00/3.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s163, s164)) | node18(s163, s164))),
% 5.00/3.85 inference(quant_inst,[status(thm)],[])).
% 5.00/3.85 tff(13400,plain,
% 5.00/3.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s163, s164)) | node18(s163, s164)),
% 5.00/3.85 inference(modus_ponens,[status(thm)],[13399, 13398])).
% 5.00/3.85 tff(13401,plain,
% 5.00/3.85 (node18(s163, s164)),
% 5.00/3.85 inference(unit_resolution,[status(thm)],[13400, 125, 13312])).
% 5.00/3.85 tff(13402,plain,
% 5.00/3.85 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s163, c_n1)) | (~m_main_v_state2(s163, c_t2)) | (~node18(s163, s164)) | m_main_v_turn(s164, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s163, c_n1)) | (~m_main_v_state2(s163, c_t2)) | (~node18(s163, s164)) | m_main_v_turn(s164, c_2))),
% 5.00/3.85 inference(rewrite,[status(thm)],[])).
% 5.00/3.85 tff(13403,plain,
% 5.00/3.85 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s163, c_n1)) | (~m_main_v_state2(s163, c_t2)) | (~node18(s163, s164)) | m_main_v_turn(s164, c_2))),
% 5.00/3.85 inference(quant_inst,[status(thm)],[])).
% 5.00/3.85 tff(13404,plain,
% 5.00/3.85 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s163, c_n1)) | (~m_main_v_state2(s163, c_t2)) | (~node18(s163, s164)) | m_main_v_turn(s164, c_2)),
% 5.00/3.85 inference(modus_ponens,[status(thm)],[13403, 13402])).
% 5.00/3.85 tff(13405,plain,
% 5.00/3.85 ((~m_main_v_state1(s163, c_n1)) | (~m_main_v_state2(s163, c_t2)) | m_main_v_turn(s164, c_2)),
% 5.00/3.85 inference(unit_resolution,[status(thm)],[13404, 760, 13401])).
% 5.00/3.85 tff(13406,plain,
% 5.00/3.85 (m_main_v_turn(s164, c_2)),
% 5.00/3.85 inference(unit_resolution,[status(thm)],[13405, 13265, 13301])).
% 5.00/3.85 tff(13407,plain,
% 5.00/3.85 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s164, c_1)) | (~m_main_v_turn(s164, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s164, c_1)) | (~m_main_v_turn(s164, c_2)))),
% 5.00/3.85 inference(rewrite,[status(thm)],[])).
% 5.00/3.85 tff(13408,plain,
% 5.00/3.85 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s164, c_1)) | (~m_main_v_turn(s164, c_2)))),
% 5.00/3.85 inference(quant_inst,[status(thm)],[])).
% 5.00/3.85 tff(13409,plain,
% 5.00/3.85 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s164, c_1)) | (~m_main_v_turn(s164, c_2))),
% 5.00/3.85 inference(modus_ponens,[status(thm)],[13408, 13407])).
% 5.00/3.85 tff(13410,plain,
% 5.00/3.85 (~m_main_v_turn(s164, c_1)),
% 5.00/3.85 inference(unit_resolution,[status(thm)],[13409, 156, 13406])).
% 5.00/3.85 tff(13411,plain,
% 5.00/3.85 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s164, c_1) | (~node5(s164)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s164, c_1) | (~node5(s164)))),
% 5.01/3.85 inference(rewrite,[status(thm)],[])).
% 5.01/3.85 tff(13412,plain,
% 5.01/3.85 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s164, c_1) | (~node5(s164)))),
% 5.01/3.85 inference(quant_inst,[status(thm)],[])).
% 5.01/3.85 tff(13413,plain,
% 5.01/3.85 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s164, c_1) | (~node5(s164))),
% 5.01/3.85 inference(modus_ponens,[status(thm)],[13412, 13411])).
% 5.01/3.85 tff(13414,plain,
% 5.01/3.85 (~node5(s164)),
% 5.01/3.85 inference(unit_resolution,[status(thm)],[13413, 776, 13410])).
% 5.01/3.85 tff(13415,plain,
% 5.01/3.85 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s164, c_n1) | (~node2(s164)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s164, c_n1) | (~node2(s164)))),
% 5.01/3.85 inference(rewrite,[status(thm)],[])).
% 5.01/3.85 tff(13416,plain,
% 5.01/3.85 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s164, c_n1) | (~node2(s164)))),
% 5.01/3.85 inference(quant_inst,[status(thm)],[])).
% 5.01/3.85 tff(13417,plain,
% 5.01/3.85 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s164, c_n1) | (~node2(s164))),
% 5.01/3.85 inference(modus_ponens,[status(thm)],[13416, 13415])).
% 5.01/3.85 tff(13418,plain,
% 5.01/3.85 (~node2(s164)),
% 5.01/3.85 inference(unit_resolution,[status(thm)],[13417, 787, 13342])).
% 5.01/3.85 tff(13419,plain,
% 5.01/3.85 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s164, c_n1) | (~node3(s164)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s164, c_n1) | (~node3(s164)))),
% 5.01/3.85 inference(rewrite,[status(thm)],[])).
% 5.01/3.85 tff(13420,plain,
% 5.01/3.85 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s164, c_n1) | (~node3(s164)))),
% 5.01/3.85 inference(quant_inst,[status(thm)],[])).
% 5.01/3.85 tff(13421,plain,
% 5.01/3.85 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s164, c_n1) | (~node3(s164))),
% 5.01/3.85 inference(modus_ponens,[status(thm)],[13420, 13419])).
% 5.01/3.85 tff(13422,plain,
% 5.01/3.85 (~node3(s164)),
% 5.01/3.85 inference(unit_resolution,[status(thm)],[13421, 798, 13342])).
% 5.01/3.85 tff(13423,plain,
% 5.01/3.85 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s164, c_n2) | (~node4(s164)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s164, c_n2) | (~node4(s164)))),
% 5.01/3.85 inference(rewrite,[status(thm)],[])).
% 5.01/3.85 tff(13424,plain,
% 5.01/3.85 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s164, c_n2) | (~node4(s164)))),
% 5.01/3.85 inference(quant_inst,[status(thm)],[])).
% 5.01/3.85 tff(13425,plain,
% 5.01/3.85 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s164, c_n2) | (~node4(s164))),
% 5.01/3.85 inference(modus_ponens,[status(thm)],[13424, 13423])).
% 5.01/3.85 tff(13426,plain,
% 5.01/3.85 (~node4(s164)),
% 5.01/3.85 inference(unit_resolution,[status(thm)],[13425, 388, 13362])).
% 5.01/3.85 tff(13427,plain,
% 5.01/3.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s164, s165)) | node7(s164, s165))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s164, s165)) | node7(s164, s165))),
% 5.01/3.85 inference(rewrite,[status(thm)],[])).
% 5.01/3.85 tff(13428,plain,
% 5.01/3.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s164, s165)) | node7(s164, s165))),
% 5.01/3.85 inference(quant_inst,[status(thm)],[])).
% 5.01/3.85 tff(13429,plain,
% 5.01/3.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s164, s165)) | node7(s164, s165)),
% 5.01/3.85 inference(modus_ponens,[status(thm)],[13428, 13427])).
% 5.01/3.85 tff(13430,plain,
% 5.01/3.85 (node7(s164, s165)),
% 5.01/3.85 inference(unit_resolution,[status(thm)],[13429, 206, 13373])).
% 5.01/3.85 tff(13431,plain,
% 5.01/3.85 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s164, c_c1) | node1(s164) | node2(s164) | node3(s164) | node4(s164) | node5(s164) | node6(s164, s165) | (~node7(s164, s165)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s164, c_c1) | node1(s164) | node2(s164) | node3(s164) | node4(s164) | node5(s164) | node6(s164, s165) | (~node7(s164, s165)))),
% 5.01/3.85 inference(rewrite,[status(thm)],[])).
% 5.01/3.85 tff(13432,plain,
% 5.01/3.85 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s164, c_c1) | node1(s164) | node2(s164) | node3(s164) | node4(s164) | node5(s164) | node6(s164, s165) | (~node7(s164, s165)))),
% 5.01/3.85 inference(quant_inst,[status(thm)],[])).
% 5.01/3.85 tff(13433,plain,
% 5.01/3.85 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s164, c_c1) | node1(s164) | node2(s164) | node3(s164) | node4(s164) | node5(s164) | node6(s164, s165) | (~node7(s164, s165))),
% 5.01/3.85 inference(modus_ponens,[status(thm)],[13432, 13431])).
% 5.01/3.85 tff(13434,plain,
% 5.01/3.85 (m_main_v_state1(s164, c_c1) | node1(s164) | node2(s164) | node3(s164) | node4(s164) | node5(s164) | node6(s164, s165)),
% 5.01/3.85 inference(unit_resolution,[status(thm)],[13433, 820, 13430])).
% 5.01/3.85 tff(13435,plain,
% 5.01/3.85 (node6(s164, s165)),
% 5.01/3.85 inference(unit_resolution,[status(thm)],[13434, 13426, 13350, 13422, 13418, 13414, 13397])).
% 5.01/3.85 tff(13436,plain,
% 5.01/3.85 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s164, c_n1) | (~m_main_v_state1(s165, c_n1)) | (~node6(s164, s165)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s164, c_n1) | (~m_main_v_state1(s165, c_n1)) | (~node6(s164, s165)))),
% 5.01/3.85 inference(rewrite,[status(thm)],[])).
% 5.01/3.85 tff(13437,plain,
% 5.01/3.85 (((~node6(s164, s165)) | m_main_v_state1(s164, c_n1) | (~m_main_v_state1(s165, c_n1))) <=> (m_main_v_state1(s164, c_n1) | (~m_main_v_state1(s165, c_n1)) | (~node6(s164, s165)))),
% 5.01/3.85 inference(rewrite,[status(thm)],[])).
% 5.01/3.85 tff(13438,plain,
% 5.01/3.85 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s164, s165)) | m_main_v_state1(s164, c_n1) | (~m_main_v_state1(s165, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s164, c_n1) | (~m_main_v_state1(s165, c_n1)) | (~node6(s164, s165))))),
% 5.01/3.85 inference(monotonicity,[status(thm)],[13437])).
% 5.01/3.85 tff(13439,plain,
% 5.01/3.85 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s164, s165)) | m_main_v_state1(s164, c_n1) | (~m_main_v_state1(s165, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s164, c_n1) | (~m_main_v_state1(s165, c_n1)) | (~node6(s164, s165)))),
% 5.01/3.85 inference(transitivity,[status(thm)],[13438, 13436])).
% 5.01/3.85 tff(13440,plain,
% 5.01/3.85 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s164, s165)) | m_main_v_state1(s164, c_n1) | (~m_main_v_state1(s165, c_n1)))),
% 5.01/3.85 inference(quant_inst,[status(thm)],[])).
% 5.01/3.85 tff(13441,plain,
% 5.01/3.85 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s164, c_n1) | (~m_main_v_state1(s165, c_n1)) | (~node6(s164, s165))),
% 5.01/3.85 inference(modus_ponens,[status(thm)],[13440, 13439])).
% 5.01/3.85 tff(13442,plain,
% 5.01/3.85 (~m_main_v_state1(s165, c_n1)),
% 5.01/3.85 inference(unit_resolution,[status(thm)],[13441, 835, 13342, 13435])).
% 5.01/3.85 tff(13443,plain,
% 5.01/3.85 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s165, c_n1) | (~node2(s165)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s165, c_n1) | (~node2(s165)))),
% 5.01/3.85 inference(rewrite,[status(thm)],[])).
% 5.01/3.85 tff(13444,plain,
% 5.01/3.85 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s165, c_n1) | (~node2(s165)))),
% 5.01/3.85 inference(quant_inst,[status(thm)],[])).
% 5.01/3.85 tff(13445,plain,
% 5.01/3.85 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s165, c_n1) | (~node2(s165))),
% 5.01/3.85 inference(modus_ponens,[status(thm)],[13444, 13443])).
% 5.01/3.85 tff(13446,plain,
% 5.01/3.85 (~node2(s165)),
% 5.01/3.86 inference(unit_resolution,[status(thm)],[13445, 787, 13442])).
% 5.01/3.86 tff(13447,plain,
% 5.01/3.86 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s164, c_t1)) | m_main_v_state1(s165, c_t1) | (~node6(s164, s165)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s164, c_t1)) | m_main_v_state1(s165, c_t1) | (~node6(s164, s165)))),
% 5.01/3.86 inference(rewrite,[status(thm)],[])).
% 5.01/3.86 tff(13448,plain,
% 5.01/3.86 (((~node6(s164, s165)) | (~m_main_v_state1(s164, c_t1)) | m_main_v_state1(s165, c_t1)) <=> ((~m_main_v_state1(s164, c_t1)) | m_main_v_state1(s165, c_t1) | (~node6(s164, s165)))),
% 5.01/3.86 inference(rewrite,[status(thm)],[])).
% 5.01/3.86 tff(13449,plain,
% 5.01/3.86 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s164, s165)) | (~m_main_v_state1(s164, c_t1)) | m_main_v_state1(s165, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s164, c_t1)) | m_main_v_state1(s165, c_t1) | (~node6(s164, s165))))),
% 5.01/3.86 inference(monotonicity,[status(thm)],[13448])).
% 5.01/3.86 tff(13450,plain,
% 5.01/3.86 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s164, s165)) | (~m_main_v_state1(s164, c_t1)) | m_main_v_state1(s165, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s164, c_t1)) | m_main_v_state1(s165, c_t1) | (~node6(s164, s165)))),
% 5.01/3.86 inference(transitivity,[status(thm)],[13449, 13447])).
% 5.01/3.86 tff(13451,plain,
% 5.01/3.86 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s164, s165)) | (~m_main_v_state1(s164, c_t1)) | m_main_v_state1(s165, c_t1))),
% 5.01/3.86 inference(quant_inst,[status(thm)],[])).
% 5.01/3.86 tff(13452,plain,
% 5.01/3.86 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s164, c_t1)) | m_main_v_state1(s165, c_t1) | (~node6(s164, s165))),
% 5.01/3.86 inference(modus_ponens,[status(thm)],[13451, 13450])).
% 5.01/3.86 tff(13453,plain,
% 5.01/3.86 (m_main_v_state1(s165, c_t1)),
% 5.01/3.86 inference(unit_resolution,[status(thm)],[13452, 856, 13338, 13435])).
% 5.01/3.86 tff(13454,plain,
% 5.01/3.86 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s165, c_n2)) | (~m_main_v_state2(s165, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s165, c_n2)) | (~m_main_v_state2(s165, c_t2)))),
% 5.01/3.86 inference(rewrite,[status(thm)],[])).
% 5.01/3.86 tff(13455,plain,
% 5.01/3.86 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s165, c_n2)) | (~m_main_v_state2(s165, c_t2)))),
% 5.01/3.86 inference(quant_inst,[status(thm)],[])).
% 5.01/3.86 tff(13456,plain,
% 5.01/3.86 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s165, c_n2)) | (~m_main_v_state2(s165, c_t2))),
% 5.01/3.86 inference(modus_ponens,[status(thm)],[13455, 13454])).
% 5.01/3.86 tff(13457,plain,
% 5.01/3.86 (~m_main_v_state2(s165, c_t2)),
% 5.01/3.86 inference(unit_resolution,[status(thm)],[13456, 77, 13385])).
% 5.01/3.86 tff(13458,plain,
% 5.01/3.86 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s165, c_t2) | (~node1(s165)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s165, c_t2) | (~node1(s165)))),
% 5.01/3.86 inference(rewrite,[status(thm)],[])).
% 5.01/3.86 tff(13459,plain,
% 5.01/3.86 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s165, c_t2) | (~node1(s165)))),
% 5.01/3.86 inference(quant_inst,[status(thm)],[])).
% 5.01/3.86 tff(13460,plain,
% 5.01/3.86 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s165, c_t2) | (~node1(s165))),
% 5.01/3.86 inference(modus_ponens,[status(thm)],[13459, 13458])).
% 5.01/3.86 tff(13461,plain,
% 5.01/3.86 (~node1(s165)),
% 5.01/3.86 inference(unit_resolution,[status(thm)],[13460, 195, 13457])).
% 5.01/3.86 tff(13462,plain,
% 5.01/3.86 (succ(s165, s166) <=> succ(s165, s166)),
% 5.01/3.86 inference(rewrite,[status(thm)],[])).
% 5.01/3.86 tff(13463,axiom,(succ(s165, s166)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound166')).
% 5.01/3.86 tff(13464,plain,
% 5.01/3.86 (succ(s165, s166)),
% 5.01/3.86 inference(modus_ponens,[status(thm)],[13463, 13462])).
% 5.01/3.86 tff(13465,plain,
% 5.01/3.86 (((~![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))),
% 5.01/3.86 inference(rewrite,[status(thm)],[])).
% 5.01/3.86 tff(13466,plain,
% 5.01/3.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s165, s166)) | trans(s165, s166))),
% 5.01/3.86 inference(quant_inst,[status(thm)],[])).
% 5.01/3.86 tff(13467,plain,
% 5.01/3.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s165, s166)) | trans(s165, s166)),
% 5.01/3.86 inference(modus_ponens,[status(thm)],[13466, 13465])).
% 5.01/3.86 tff(13468,plain,
% 5.01/3.86 (trans(s165, s166)),
% 5.01/3.86 inference(unit_resolution,[status(thm)],[13467, 13464, 32])).
% 5.01/3.86 tff(13469,plain,
% 5.01/3.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s165, s166)) | node7(s165, s166))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s165, s166)) | node7(s165, s166))),
% 5.01/3.86 inference(rewrite,[status(thm)],[])).
% 5.01/3.86 tff(13470,plain,
% 5.01/3.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s165, s166)) | node7(s165, s166))),
% 5.01/3.86 inference(quant_inst,[status(thm)],[])).
% 5.01/3.86 tff(13471,plain,
% 5.01/3.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s165, s166)) | node7(s165, s166)),
% 5.01/3.86 inference(modus_ponens,[status(thm)],[13470, 13469])).
% 5.01/3.86 tff(13472,plain,
% 5.01/3.86 (node7(s165, s166)),
% 5.01/3.86 inference(unit_resolution,[status(thm)],[13471, 206, 13468])).
% 5.01/3.86 tff(13473,plain,
% 5.01/3.86 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s165, c_t1)) | (~m_main_v_state2(s165, c_n2)) | m_main_v_state1(s166, c_c1) | node1(s165) | node2(s165) | node3(s165) | (~node7(s165, s166)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s165, c_t1)) | (~m_main_v_state2(s165, c_n2)) | m_main_v_state1(s166, c_c1) | node1(s165) | node2(s165) | node3(s165) | (~node7(s165, s166)))),
% 5.01/3.86 inference(rewrite,[status(thm)],[])).
% 5.01/3.86 tff(13474,plain,
% 5.01/3.86 (((~m_main_v_state1(s165, c_t1)) | (~m_main_v_state2(s165, c_n2)) | node1(s165) | node2(s165) | node3(s165) | (~node7(s165, s166)) | m_main_v_state1(s166, c_c1)) <=> ((~m_main_v_state1(s165, c_t1)) | (~m_main_v_state2(s165, c_n2)) | m_main_v_state1(s166, c_c1) | node1(s165) | node2(s165) | node3(s165) | (~node7(s165, s166)))),
% 5.01/3.86 inference(rewrite,[status(thm)],[])).
% 5.01/3.86 tff(13475,plain,
% 5.01/3.86 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s165, c_t1)) | (~m_main_v_state2(s165, c_n2)) | node1(s165) | node2(s165) | node3(s165) | (~node7(s165, s166)) | m_main_v_state1(s166, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s165, c_t1)) | (~m_main_v_state2(s165, c_n2)) | m_main_v_state1(s166, c_c1) | node1(s165) | node2(s165) | node3(s165) | (~node7(s165, s166))))),
% 5.01/3.86 inference(monotonicity,[status(thm)],[13474])).
% 5.01/3.86 tff(13476,plain,
% 5.01/3.86 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s165, c_t1)) | (~m_main_v_state2(s165, c_n2)) | node1(s165) | node2(s165) | node3(s165) | (~node7(s165, s166)) | m_main_v_state1(s166, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s165, c_t1)) | (~m_main_v_state2(s165, c_n2)) | m_main_v_state1(s166, c_c1) | node1(s165) | node2(s165) | node3(s165) | (~node7(s165, s166)))),
% 5.01/3.86 inference(transitivity,[status(thm)],[13475, 13473])).
% 5.01/3.86 tff(13477,plain,
% 5.01/3.86 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s165, c_t1)) | (~m_main_v_state2(s165, c_n2)) | node1(s165) | node2(s165) | node3(s165) | (~node7(s165, s166)) | m_main_v_state1(s166, c_c1))),
% 5.01/3.86 inference(quant_inst,[status(thm)],[])).
% 5.01/3.86 tff(13478,plain,
% 5.01/3.86 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s165, c_t1)) | (~m_main_v_state2(s165, c_n2)) | m_main_v_state1(s166, c_c1) | node1(s165) | node2(s165) | node3(s165) | (~node7(s165, s166))),
% 5.01/3.86 inference(modus_ponens,[status(thm)],[13477, 13476])).
% 5.01/3.86 tff(13479,plain,
% 5.01/3.86 ((~m_main_v_state1(s165, c_t1)) | (~m_main_v_state2(s165, c_n2)) | m_main_v_state1(s166, c_c1) | node1(s165) | node2(s165) | node3(s165)),
% 5.01/3.86 inference(unit_resolution,[status(thm)],[13478, 892, 13472])).
% 5.01/3.86 tff(13480,plain,
% 5.01/3.86 (m_main_v_state1(s166, c_c1)),
% 5.01/3.86 inference(unit_resolution,[status(thm)],[13479, 13461, 13385, 13453, 13446, 13393])).
% 5.01/3.86 tff(13481,plain,
% 5.01/3.86 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s166, c_t1)) | (~m_main_v_state1(s166, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s166, c_t1)) | (~m_main_v_state1(s166, c_c1)))),
% 5.01/3.86 inference(rewrite,[status(thm)],[])).
% 5.01/3.86 tff(13482,plain,
% 5.01/3.86 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s166, c_t1)) | (~m_main_v_state1(s166, c_c1)))),
% 5.01/3.86 inference(quant_inst,[status(thm)],[])).
% 5.01/3.86 tff(13483,plain,
% 5.01/3.86 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s166, c_t1)) | (~m_main_v_state1(s166, c_c1))),
% 5.01/3.86 inference(modus_ponens,[status(thm)],[13482, 13481])).
% 5.01/3.86 tff(13484,plain,
% 5.01/3.86 (~m_main_v_state1(s166, c_t1)),
% 5.01/3.86 inference(unit_resolution,[status(thm)],[13483, 539, 13480])).
% 5.01/3.86 tff(13485,plain,
% 5.01/3.86 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s166, c_t1) | (~node5(s166)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s166, c_t1) | (~node5(s166)))),
% 5.01/3.86 inference(rewrite,[status(thm)],[])).
% 5.01/3.86 tff(13486,plain,
% 5.01/3.86 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s166, c_t1) | (~node5(s166)))),
% 5.01/3.86 inference(quant_inst,[status(thm)],[])).
% 5.01/3.86 tff(13487,plain,
% 5.01/3.86 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s166, c_t1) | (~node5(s166))),
% 5.01/3.86 inference(modus_ponens,[status(thm)],[13486, 13485])).
% 5.01/3.86 tff(13488,plain,
% 5.01/3.86 (~node5(s166)),
% 5.01/3.86 inference(unit_resolution,[status(thm)],[13487, 550, 13484])).
% 5.01/3.86 tff(13489,plain,
% 5.01/3.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s165, s166)) | node14(s165, s166))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s165, s166)) | node14(s165, s166))),
% 5.01/3.86 inference(rewrite,[status(thm)],[])).
% 5.01/3.86 tff(13490,plain,
% 5.01/3.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s165, s166)) | node14(s165, s166))),
% 5.01/3.86 inference(quant_inst,[status(thm)],[])).
% 5.01/3.86 tff(13491,plain,
% 5.01/3.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s165, s166)) | node14(s165, s166)),
% 5.01/3.86 inference(modus_ponens,[status(thm)],[13490, 13489])).
% 5.01/3.86 tff(13492,plain,
% 5.01/3.86 (node14(s165, s166)),
% 5.01/3.86 inference(unit_resolution,[status(thm)],[13491, 46, 13468])).
% 5.01/3.86 tff(13493,plain,
% 5.01/3.86 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s165, c_t1)) | (~m_main_v_state2(s165, c_n2)) | (~node14(s165, s166)) | m_main_v_state2(s166, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s165, c_t1)) | (~m_main_v_state2(s165, c_n2)) | (~node14(s165, s166)) | m_main_v_state2(s166, c_t2))),
% 5.01/3.86 inference(rewrite,[status(thm)],[])).
% 5.01/3.86 tff(13494,plain,
% 5.01/3.86 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s165, c_t1)) | (~m_main_v_state2(s165, c_n2)) | (~node14(s165, s166)) | m_main_v_state2(s166, c_t2))),
% 5.01/3.86 inference(quant_inst,[status(thm)],[])).
% 5.01/3.86 tff(13495,plain,
% 5.01/3.86 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s165, c_t1)) | (~m_main_v_state2(s165, c_n2)) | (~node14(s165, s166)) | m_main_v_state2(s166, c_t2)),
% 5.01/3.86 inference(modus_ponens,[status(thm)],[13494, 13493])).
% 5.01/3.86 tff(13496,plain,
% 5.01/3.86 ((~m_main_v_state1(s165, c_t1)) | (~m_main_v_state2(s165, c_n2)) | m_main_v_state2(s166, c_t2)),
% 5.01/3.86 inference(unit_resolution,[status(thm)],[13495, 922, 13492])).
% 5.01/3.86 tff(13497,plain,
% 5.01/3.86 (m_main_v_state2(s166, c_t2)),
% 5.01/3.86 inference(unit_resolution,[status(thm)],[13496, 13453, 13385])).
% 5.01/3.86 tff(13498,plain,
% 5.01/3.86 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s166, c_n2)) | (~m_main_v_state2(s166, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s166, c_n2)) | (~m_main_v_state2(s166, c_t2)))),
% 5.01/3.86 inference(rewrite,[status(thm)],[])).
% 5.01/3.86 tff(13499,plain,
% 5.01/3.86 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s166, c_n2)) | (~m_main_v_state2(s166, c_t2)))),
% 5.01/3.86 inference(quant_inst,[status(thm)],[])).
% 5.01/3.86 tff(13500,plain,
% 5.01/3.86 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s166, c_n2)) | (~m_main_v_state2(s166, c_t2))),
% 5.01/3.86 inference(modus_ponens,[status(thm)],[13499, 13498])).
% 5.01/3.86 tff(13501,plain,
% 5.01/3.86 (~m_main_v_state2(s166, c_n2)),
% 5.01/3.86 inference(unit_resolution,[status(thm)],[13500, 77, 13497])).
% 5.01/3.86 tff(13502,plain,
% 5.01/3.86 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s166, c_n2) | (~node4(s166)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s166, c_n2) | (~node4(s166)))),
% 5.01/3.86 inference(rewrite,[status(thm)],[])).
% 5.01/3.86 tff(13503,plain,
% 5.01/3.86 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s166, c_n2) | (~node4(s166)))),
% 5.01/3.86 inference(quant_inst,[status(thm)],[])).
% 5.01/3.86 tff(13504,plain,
% 5.01/3.86 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s166, c_n2) | (~node4(s166))),
% 5.01/3.86 inference(modus_ponens,[status(thm)],[13503, 13502])).
% 5.01/3.86 tff(13505,plain,
% 5.01/3.86 (~node4(s166)),
% 5.01/3.86 inference(unit_resolution,[status(thm)],[13504, 388, 13501])).
% 5.01/3.86 tff(13506,plain,
% 5.01/3.86 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s166, c_t2)) | (~m_main_v_state2(s166, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s166, c_t2)) | (~m_main_v_state2(s166, c_c2)))),
% 5.01/3.86 inference(rewrite,[status(thm)],[])).
% 5.01/3.86 tff(13507,plain,
% 5.01/3.86 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s166, c_t2)) | (~m_main_v_state2(s166, c_c2)))),
% 5.01/3.86 inference(quant_inst,[status(thm)],[])).
% 5.01/3.86 tff(13508,plain,
% 5.01/3.86 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s166, c_t2)) | (~m_main_v_state2(s166, c_c2))),
% 5.01/3.86 inference(modus_ponens,[status(thm)],[13507, 13506])).
% 5.01/3.86 tff(13509,plain,
% 5.01/3.86 (~m_main_v_state2(s166, c_c2)),
% 5.01/3.86 inference(unit_resolution,[status(thm)],[13508, 260, 13497])).
% 5.01/3.86 tff(13510,plain,
% 5.01/3.86 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s166, c_c2) | (~node3(s166)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s166, c_c2) | (~node3(s166)))),
% 5.01/3.86 inference(rewrite,[status(thm)],[])).
% 5.01/3.86 tff(13511,plain,
% 5.01/3.86 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s166, c_c2) | (~node3(s166)))),
% 5.01/3.86 inference(quant_inst,[status(thm)],[])).
% 5.01/3.86 tff(13512,plain,
% 5.01/3.86 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s166, c_c2) | (~node3(s166))),
% 5.01/3.86 inference(modus_ponens,[status(thm)],[13511, 13510])).
% 5.01/3.86 tff(13513,plain,
% 5.01/3.86 (~node3(s166)),
% 5.01/3.86 inference(unit_resolution,[status(thm)],[13512, 399, 13509])).
% 5.01/3.86 tff(13514,plain,
% 5.01/3.86 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s166, c_n2) | (~node2(s166)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s166, c_n2) | (~node2(s166)))),
% 5.01/3.86 inference(rewrite,[status(thm)],[])).
% 5.01/3.86 tff(13515,plain,
% 5.01/3.86 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s166, c_n2) | (~node2(s166)))),
% 5.01/3.86 inference(quant_inst,[status(thm)],[])).
% 5.01/3.86 tff(13516,plain,
% 5.01/3.86 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s166, c_n2) | (~node2(s166))),
% 5.01/3.86 inference(modus_ponens,[status(thm)],[13515, 13514])).
% 5.01/3.86 tff(13517,plain,
% 5.01/3.86 (~node2(s166)),
% 5.01/3.86 inference(unit_resolution,[status(thm)],[13516, 410, 13501])).
% 5.01/3.86 tff(13518,plain,
% 5.01/3.86 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s166, c_n1)) | (~m_main_v_state1(s166, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s166, c_n1)) | (~m_main_v_state1(s166, c_c1)))),
% 5.01/3.86 inference(rewrite,[status(thm)],[])).
% 5.01/3.86 tff(13519,plain,
% 5.01/3.86 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s166, c_n1)) | (~m_main_v_state1(s166, c_c1)))),
% 5.01/3.86 inference(quant_inst,[status(thm)],[])).
% 5.01/3.86 tff(13520,plain,
% 5.01/3.86 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s166, c_n1)) | (~m_main_v_state1(s166, c_c1))),
% 5.01/3.86 inference(modus_ponens,[status(thm)],[13519, 13518])).
% 5.01/3.86 tff(13521,plain,
% 5.01/3.86 (~m_main_v_state1(s166, c_n1)),
% 5.01/3.86 inference(unit_resolution,[status(thm)],[13520, 454, 13480])).
% 5.01/3.86 tff(13522,plain,
% 5.01/3.86 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s166, c_n1) | (~node1(s166)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s166, c_n1) | (~node1(s166)))),
% 5.01/3.86 inference(rewrite,[status(thm)],[])).
% 5.01/3.86 tff(13523,plain,
% 5.01/3.86 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s166, c_n1) | (~node1(s166)))),
% 5.01/3.86 inference(quant_inst,[status(thm)],[])).
% 5.01/3.86 tff(13524,plain,
% 5.01/3.86 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s166, c_n1) | (~node1(s166))),
% 5.01/3.86 inference(modus_ponens,[status(thm)],[13523, 13522])).
% 5.01/3.86 tff(13525,plain,
% 5.01/3.86 (~node1(s166)),
% 5.01/3.86 inference(unit_resolution,[status(thm)],[13524, 421, 13521])).
% 5.01/3.86 tff(13526,plain,
% 5.01/3.86 (succ(s166, s167) <=> succ(s166, s167)),
% 5.01/3.86 inference(rewrite,[status(thm)],[])).
% 5.01/3.86 tff(13527,axiom,(succ(s166, s167)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound167')).
% 5.01/3.86 tff(13528,plain,
% 5.01/3.86 (succ(s166, s167)),
% 5.01/3.86 inference(modus_ponens,[status(thm)],[13527, 13526])).
% 5.01/3.86 tff(13529,plain,
% 5.01/3.86 (((~![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))),
% 5.01/3.86 inference(rewrite,[status(thm)],[])).
% 5.01/3.86 tff(13530,plain,
% 5.01/3.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s166, s167)) | trans(s166, s167))),
% 5.01/3.86 inference(quant_inst,[status(thm)],[])).
% 5.01/3.86 tff(13531,plain,
% 5.01/3.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s166, s167)) | trans(s166, s167)),
% 5.01/3.86 inference(modus_ponens,[status(thm)],[13530, 13529])).
% 5.01/3.86 tff(13532,plain,
% 5.01/3.86 (trans(s166, s167)),
% 5.01/3.86 inference(unit_resolution,[status(thm)],[13531, 13528, 32])).
% 5.01/3.86 tff(13533,plain,
% 5.01/3.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s166, s167)) | node7(s166, s167))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s166, s167)) | node7(s166, s167))),
% 5.01/3.86 inference(rewrite,[status(thm)],[])).
% 5.01/3.86 tff(13534,plain,
% 5.01/3.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s166, s167)) | node7(s166, s167))),
% 5.01/3.86 inference(quant_inst,[status(thm)],[])).
% 5.01/3.86 tff(13535,plain,
% 5.01/3.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s166, s167)) | node7(s166, s167)),
% 5.01/3.86 inference(modus_ponens,[status(thm)],[13534, 13533])).
% 5.01/3.86 tff(13536,plain,
% 5.01/3.86 (node7(s166, s167)),
% 5.01/3.86 inference(unit_resolution,[status(thm)],[13535, 206, 13532])).
% 5.01/3.86 tff(13537,plain,
% 5.01/3.86 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s167, c_n1) | (~m_main_v_state1(s166, c_c1)) | node1(s166) | node2(s166) | node3(s166) | node4(s166) | node5(s166) | (~node7(s166, s167)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s167, c_n1) | (~m_main_v_state1(s166, c_c1)) | node1(s166) | node2(s166) | node3(s166) | node4(s166) | node5(s166) | (~node7(s166, s167)))),
% 5.01/3.86 inference(rewrite,[status(thm)],[])).
% 5.01/3.86 tff(13538,plain,
% 5.01/3.86 (((~m_main_v_state1(s166, c_c1)) | node1(s166) | node2(s166) | node3(s166) | node4(s166) | node5(s166) | (~node7(s166, s167)) | m_main_v_state1(s167, c_n1)) <=> (m_main_v_state1(s167, c_n1) | (~m_main_v_state1(s166, c_c1)) | node1(s166) | node2(s166) | node3(s166) | node4(s166) | node5(s166) | (~node7(s166, s167)))),
% 5.01/3.86 inference(rewrite,[status(thm)],[])).
% 5.01/3.86 tff(13539,plain,
% 5.01/3.86 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s166, c_c1)) | node1(s166) | node2(s166) | node3(s166) | node4(s166) | node5(s166) | (~node7(s166, s167)) | m_main_v_state1(s167, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s167, c_n1) | (~m_main_v_state1(s166, c_c1)) | node1(s166) | node2(s166) | node3(s166) | node4(s166) | node5(s166) | (~node7(s166, s167))))),
% 5.01/3.86 inference(monotonicity,[status(thm)],[13538])).
% 5.01/3.86 tff(13540,plain,
% 5.01/3.86 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s166, c_c1)) | node1(s166) | node2(s166) | node3(s166) | node4(s166) | node5(s166) | (~node7(s166, s167)) | m_main_v_state1(s167, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s167, c_n1) | (~m_main_v_state1(s166, c_c1)) | node1(s166) | node2(s166) | node3(s166) | node4(s166) | node5(s166) | (~node7(s166, s167)))),
% 5.01/3.86 inference(transitivity,[status(thm)],[13539, 13537])).
% 5.01/3.86 tff(13541,plain,
% 5.01/3.86 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s166, c_c1)) | node1(s166) | node2(s166) | node3(s166) | node4(s166) | node5(s166) | (~node7(s166, s167)) | m_main_v_state1(s167, c_n1))),
% 5.01/3.86 inference(quant_inst,[status(thm)],[])).
% 5.01/3.86 tff(13542,plain,
% 5.01/3.86 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s167, c_n1) | (~m_main_v_state1(s166, c_c1)) | node1(s166) | node2(s166) | node3(s166) | node4(s166) | node5(s166) | (~node7(s166, s167))),
% 5.01/3.86 inference(modus_ponens,[status(thm)],[13541, 13540])).
% 5.01/3.86 tff(13543,plain,
% 5.01/3.86 (m_main_v_state1(s167, c_n1) | (~m_main_v_state1(s166, c_c1)) | node1(s166) | node2(s166) | node3(s166) | node4(s166) | node5(s166)),
% 5.01/3.86 inference(unit_resolution,[status(thm)],[13542, 584, 13536])).
% 5.01/3.86 tff(13544,plain,
% 5.01/3.86 (m_main_v_state1(s167, c_n1)),
% 5.01/3.86 inference(unit_resolution,[status(thm)],[13543, 13525, 13480, 13517, 13513, 13505, 13488])).
% 5.01/3.86 tff(13545,plain,
% 5.01/3.86 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s165, c_t2) | (~node15(s165)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s165, c_t2) | (~node15(s165)))),
% 5.01/3.87 inference(rewrite,[status(thm)],[])).
% 5.01/3.87 tff(13546,plain,
% 5.01/3.87 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s165, c_t2) | (~node15(s165)))),
% 5.01/3.87 inference(quant_inst,[status(thm)],[])).
% 5.01/3.87 tff(13547,plain,
% 5.01/3.87 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s165, c_t2) | (~node15(s165))),
% 5.01/3.87 inference(modus_ponens,[status(thm)],[13546, 13545])).
% 5.01/3.87 tff(13548,plain,
% 5.01/3.87 (~node15(s165)),
% 5.01/3.87 inference(unit_resolution,[status(thm)],[13547, 103, 13457])).
% 5.01/3.87 tff(13549,plain,
% 5.01/3.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s165, s166)) | node18(s165, s166))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s165, s166)) | node18(s165, s166))),
% 5.01/3.87 inference(rewrite,[status(thm)],[])).
% 5.01/3.87 tff(13550,plain,
% 5.01/3.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s165, s166)) | node18(s165, s166))),
% 5.01/3.87 inference(quant_inst,[status(thm)],[])).
% 5.01/3.87 tff(13551,plain,
% 5.01/3.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s165, s166)) | node18(s165, s166)),
% 5.01/3.87 inference(modus_ponens,[status(thm)],[13550, 13549])).
% 5.01/3.87 tff(13552,plain,
% 5.01/3.87 (node18(s165, s166)),
% 5.01/3.87 inference(unit_resolution,[status(thm)],[13551, 125, 13468])).
% 5.01/3.87 tff(13553,plain,
% 5.01/3.87 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s165) | (~node18(s165, s166)) | (~m_main_v_state1(s165, c_t1)) | (~m_main_v_state2(s165, c_n2)) | m_main_v_turn(s166, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s165) | (~node18(s165, s166)) | (~m_main_v_state1(s165, c_t1)) | (~m_main_v_state2(s165, c_n2)) | m_main_v_turn(s166, c_1))),
% 5.01/3.87 inference(rewrite,[status(thm)],[])).
% 5.01/3.87 tff(13554,plain,
% 5.01/3.87 (((~m_main_v_state1(s165, c_t1)) | (~m_main_v_state2(s165, c_n2)) | node15(s165) | (~node18(s165, s166)) | m_main_v_turn(s166, c_1)) <=> (node15(s165) | (~node18(s165, s166)) | (~m_main_v_state1(s165, c_t1)) | (~m_main_v_state2(s165, c_n2)) | m_main_v_turn(s166, c_1))),
% 5.01/3.87 inference(rewrite,[status(thm)],[])).
% 5.01/3.87 tff(13555,plain,
% 5.01/3.87 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s165, c_t1)) | (~m_main_v_state2(s165, c_n2)) | node15(s165) | (~node18(s165, s166)) | m_main_v_turn(s166, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s165) | (~node18(s165, s166)) | (~m_main_v_state1(s165, c_t1)) | (~m_main_v_state2(s165, c_n2)) | m_main_v_turn(s166, c_1)))),
% 5.01/3.87 inference(monotonicity,[status(thm)],[13554])).
% 5.01/3.87 tff(13556,plain,
% 5.01/3.87 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s165, c_t1)) | (~m_main_v_state2(s165, c_n2)) | node15(s165) | (~node18(s165, s166)) | m_main_v_turn(s166, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s165) | (~node18(s165, s166)) | (~m_main_v_state1(s165, c_t1)) | (~m_main_v_state2(s165, c_n2)) | m_main_v_turn(s166, c_1))),
% 5.01/3.87 inference(transitivity,[status(thm)],[13555, 13553])).
% 5.01/3.87 tff(13557,plain,
% 5.01/3.87 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s165, c_t1)) | (~m_main_v_state2(s165, c_n2)) | node15(s165) | (~node18(s165, s166)) | m_main_v_turn(s166, c_1))),
% 5.01/3.87 inference(quant_inst,[status(thm)],[])).
% 5.01/3.87 tff(13558,plain,
% 5.01/3.87 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s165) | (~node18(s165, s166)) | (~m_main_v_state1(s165, c_t1)) | (~m_main_v_state2(s165, c_n2)) | m_main_v_turn(s166, c_1)),
% 5.01/3.87 inference(modus_ponens,[status(thm)],[13557, 13556])).
% 5.01/3.87 tff(13559,plain,
% 5.01/3.87 (node15(s165) | (~m_main_v_state1(s165, c_t1)) | (~m_main_v_state2(s165, c_n2)) | m_main_v_turn(s166, c_1)),
% 5.01/3.87 inference(unit_resolution,[status(thm)],[13558, 992, 13552])).
% 5.01/3.87 tff(13560,plain,
% 5.01/3.87 (m_main_v_turn(s166, c_1)),
% 5.01/3.87 inference(unit_resolution,[status(thm)],[13559, 13548, 13385, 13453])).
% 5.01/3.87 tff(13561,plain,
% 5.01/3.87 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s166, c_1)) | (~m_main_v_turn(s166, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s166, c_1)) | (~m_main_v_turn(s166, c_2)))),
% 5.01/3.87 inference(rewrite,[status(thm)],[])).
% 5.01/3.87 tff(13562,plain,
% 5.01/3.87 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s166, c_1)) | (~m_main_v_turn(s166, c_2)))),
% 5.01/3.87 inference(quant_inst,[status(thm)],[])).
% 5.01/3.87 tff(13563,plain,
% 5.01/3.87 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s166, c_1)) | (~m_main_v_turn(s166, c_2))),
% 5.01/3.87 inference(modus_ponens,[status(thm)],[13562, 13561])).
% 5.01/3.87 tff(13564,plain,
% 5.01/3.87 (~m_main_v_turn(s166, c_2)),
% 5.01/3.87 inference(unit_resolution,[status(thm)],[13563, 156, 13560])).
% 5.01/3.87 tff(13565,plain,
% 5.01/3.87 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s166, c_2) | (~node12(s166)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s166, c_2) | (~node12(s166)))),
% 5.01/3.87 inference(rewrite,[status(thm)],[])).
% 5.01/3.87 tff(13566,plain,
% 5.01/3.87 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s166, c_2) | (~node12(s166)))),
% 5.01/3.87 inference(quant_inst,[status(thm)],[])).
% 5.01/3.87 tff(13567,plain,
% 5.01/3.87 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s166, c_2) | (~node12(s166))),
% 5.01/3.87 inference(modus_ponens,[status(thm)],[13566, 13565])).
% 5.01/3.87 tff(13568,plain,
% 5.01/3.87 (~node12(s166)),
% 5.01/3.87 inference(unit_resolution,[status(thm)],[13567, 184, 13564])).
% 5.01/3.87 tff(13569,plain,
% 5.01/3.87 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s166, c_n2) | (~node8(s166)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s166, c_n2) | (~node8(s166)))),
% 5.01/3.87 inference(rewrite,[status(thm)],[])).
% 5.01/3.87 tff(13570,plain,
% 5.01/3.87 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s166, c_n2) | (~node8(s166)))),
% 5.01/3.87 inference(quant_inst,[status(thm)],[])).
% 5.01/3.87 tff(13571,plain,
% 5.01/3.87 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s166, c_n2) | (~node8(s166))),
% 5.01/3.87 inference(modus_ponens,[status(thm)],[13570, 13569])).
% 5.01/3.87 tff(13572,plain,
% 5.01/3.87 (~node8(s166)),
% 5.01/3.87 inference(unit_resolution,[status(thm)],[13571, 271, 13501])).
% 5.01/3.87 tff(13573,plain,
% 5.01/3.87 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s166, c_n2) | (~node9(s166)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s166, c_n2) | (~node9(s166)))),
% 5.01/3.87 inference(rewrite,[status(thm)],[])).
% 5.01/3.87 tff(13574,plain,
% 5.01/3.87 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s166, c_n2) | (~node9(s166)))),
% 5.01/3.87 inference(quant_inst,[status(thm)],[])).
% 5.01/3.87 tff(13575,plain,
% 5.01/3.87 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s166, c_n2) | (~node9(s166))),
% 5.01/3.87 inference(modus_ponens,[status(thm)],[13574, 13573])).
% 5.01/3.87 tff(13576,plain,
% 5.01/3.87 (~node9(s166)),
% 5.01/3.87 inference(unit_resolution,[status(thm)],[13575, 88, 13501])).
% 5.01/3.87 tff(13577,plain,
% 5.01/3.87 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s166, c_n2) | (~node10(s166)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s166, c_n2) | (~node10(s166)))),
% 5.01/3.87 inference(rewrite,[status(thm)],[])).
% 5.01/3.87 tff(13578,plain,
% 5.01/3.87 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s166, c_n2) | (~node10(s166)))),
% 5.01/3.87 inference(quant_inst,[status(thm)],[])).
% 5.01/3.87 tff(13579,plain,
% 5.01/3.87 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s166, c_n2) | (~node10(s166))),
% 5.01/3.87 inference(modus_ponens,[status(thm)],[13578, 13577])).
% 5.01/3.87 tff(13580,plain,
% 5.01/3.87 (~node10(s166)),
% 5.01/3.87 inference(unit_resolution,[status(thm)],[13579, 249, 13501])).
% 5.01/3.87 tff(13581,plain,
% 5.01/3.87 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s166, c_n1) | (~node11(s166)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s166, c_n1) | (~node11(s166)))),
% 5.01/3.87 inference(rewrite,[status(thm)],[])).
% 5.01/3.87 tff(13582,plain,
% 5.01/3.87 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s166, c_n1) | (~node11(s166)))),
% 5.01/3.87 inference(quant_inst,[status(thm)],[])).
% 5.01/3.87 tff(13583,plain,
% 5.01/3.87 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s166, c_n1) | (~node11(s166))),
% 5.01/3.87 inference(modus_ponens,[status(thm)],[13582, 13581])).
% 5.01/3.87 tff(13584,plain,
% 5.01/3.87 (~node11(s166)),
% 5.01/3.87 inference(unit_resolution,[status(thm)],[13583, 238, 13521])).
% 5.01/3.87 tff(13585,plain,
% 5.01/3.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s166, s167)) | node14(s166, s167))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s166, s167)) | node14(s166, s167))),
% 5.01/3.87 inference(rewrite,[status(thm)],[])).
% 5.01/3.87 tff(13586,plain,
% 5.01/3.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s166, s167)) | node14(s166, s167))),
% 5.01/3.87 inference(quant_inst,[status(thm)],[])).
% 5.01/3.87 tff(13587,plain,
% 5.01/3.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s166, s167)) | node14(s166, s167)),
% 5.01/3.87 inference(modus_ponens,[status(thm)],[13586, 13585])).
% 5.01/3.87 tff(13588,plain,
% 5.01/3.87 (node14(s166, s167)),
% 5.01/3.87 inference(unit_resolution,[status(thm)],[13587, 46, 13532])).
% 5.01/3.87 tff(13589,plain,
% 5.01/3.87 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s166, c_c2) | node9(s166) | node8(s166) | node10(s166) | node11(s166) | node12(s166) | node13(s166, s167) | (~node14(s166, s167)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s166, c_c2) | node9(s166) | node8(s166) | node10(s166) | node11(s166) | node12(s166) | node13(s166, s167) | (~node14(s166, s167)))),
% 5.01/3.87 inference(rewrite,[status(thm)],[])).
% 5.01/3.87 tff(13590,plain,
% 5.01/3.87 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s166, c_c2) | node9(s166) | node8(s166) | node10(s166) | node11(s166) | node12(s166) | node13(s166, s167) | (~node14(s166, s167)))),
% 5.01/3.87 inference(quant_inst,[status(thm)],[])).
% 5.01/3.87 tff(13591,plain,
% 5.01/3.87 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s166, c_c2) | node9(s166) | node8(s166) | node10(s166) | node11(s166) | node12(s166) | node13(s166, s167) | (~node14(s166, s167))),
% 5.01/3.87 inference(modus_ponens,[status(thm)],[13590, 13589])).
% 5.01/3.87 tff(13592,plain,
% 5.01/3.87 (m_main_v_state2(s166, c_c2) | node9(s166) | node8(s166) | node10(s166) | node11(s166) | node12(s166) | node13(s166, s167)),
% 5.01/3.87 inference(unit_resolution,[status(thm)],[13591, 296, 13588])).
% 5.01/3.87 tff(13593,plain,
% 5.01/3.87 (node13(s166, s167)),
% 5.01/3.87 inference(unit_resolution,[status(thm)],[13592, 13584, 13509, 13580, 13576, 13572, 13568])).
% 5.01/3.87 tff(13594,plain,
% 5.01/3.87 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s166, c_t2)) | m_main_v_state2(s167, c_t2) | (~node13(s166, s167)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s166, c_t2)) | m_main_v_state2(s167, c_t2) | (~node13(s166, s167)))),
% 5.01/3.87 inference(rewrite,[status(thm)],[])).
% 5.01/3.87 tff(13595,plain,
% 5.01/3.87 (((~node13(s166, s167)) | (~m_main_v_state2(s166, c_t2)) | m_main_v_state2(s167, c_t2)) <=> ((~m_main_v_state2(s166, c_t2)) | m_main_v_state2(s167, c_t2) | (~node13(s166, s167)))),
% 5.01/3.87 inference(rewrite,[status(thm)],[])).
% 5.01/3.87 tff(13596,plain,
% 5.01/3.87 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s166, s167)) | (~m_main_v_state2(s166, c_t2)) | m_main_v_state2(s167, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s166, c_t2)) | m_main_v_state2(s167, c_t2) | (~node13(s166, s167))))),
% 5.01/3.87 inference(monotonicity,[status(thm)],[13595])).
% 5.01/3.87 tff(13597,plain,
% 5.01/3.87 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s166, s167)) | (~m_main_v_state2(s166, c_t2)) | m_main_v_state2(s167, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s166, c_t2)) | m_main_v_state2(s167, c_t2) | (~node13(s166, s167)))),
% 5.01/3.87 inference(transitivity,[status(thm)],[13596, 13594])).
% 5.01/3.87 tff(13598,plain,
% 5.01/3.87 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s166, s167)) | (~m_main_v_state2(s166, c_t2)) | m_main_v_state2(s167, c_t2))),
% 5.01/3.87 inference(quant_inst,[status(thm)],[])).
% 5.01/3.87 tff(13599,plain,
% 5.01/3.87 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s166, c_t2)) | m_main_v_state2(s167, c_t2) | (~node13(s166, s167))),
% 5.01/3.87 inference(modus_ponens,[status(thm)],[13598, 13597])).
% 5.01/3.87 tff(13600,plain,
% 5.01/3.87 (m_main_v_state2(s167, c_t2)),
% 5.01/3.87 inference(unit_resolution,[status(thm)],[13599, 518, 13497, 13593])).
% 5.01/3.87 tff(13601,plain,
% 5.01/3.87 (succ(s167, s168) <=> succ(s167, s168)),
% 5.01/3.87 inference(rewrite,[status(thm)],[])).
% 5.01/3.87 tff(13602,axiom,(succ(s167, s168)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound168')).
% 5.01/3.87 tff(13603,plain,
% 5.01/3.87 (succ(s167, s168)),
% 5.01/3.87 inference(modus_ponens,[status(thm)],[13602, 13601])).
% 5.01/3.87 tff(13604,plain,
% 5.01/3.87 (((~![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))),
% 5.01/3.87 inference(rewrite,[status(thm)],[])).
% 5.01/3.87 tff(13605,plain,
% 5.01/3.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s167, s168)) | trans(s167, s168))),
% 5.01/3.87 inference(quant_inst,[status(thm)],[])).
% 5.01/3.87 tff(13606,plain,
% 5.01/3.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s167, s168)) | trans(s167, s168)),
% 5.01/3.87 inference(modus_ponens,[status(thm)],[13605, 13604])).
% 5.01/3.87 tff(13607,plain,
% 5.01/3.87 (trans(s167, s168)),
% 5.01/3.87 inference(unit_resolution,[status(thm)],[13606, 13603, 32])).
% 5.01/3.87 tff(13608,plain,
% 5.01/3.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s167, s168)) | node7(s167, s168))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s167, s168)) | node7(s167, s168))),
% 5.01/3.87 inference(rewrite,[status(thm)],[])).
% 5.01/3.87 tff(13609,plain,
% 5.01/3.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s167, s168)) | node7(s167, s168))),
% 5.01/3.87 inference(quant_inst,[status(thm)],[])).
% 5.01/3.87 tff(13610,plain,
% 5.01/3.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s167, s168)) | node7(s167, s168)),
% 5.01/3.87 inference(modus_ponens,[status(thm)],[13609, 13608])).
% 5.01/3.87 tff(13611,plain,
% 5.01/3.87 (node7(s167, s168)),
% 5.01/3.87 inference(unit_resolution,[status(thm)],[13610, 206, 13607])).
% 5.01/3.87 tff(13612,plain,
% 5.01/3.87 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s167, c_n1)) | (~m_main_v_state2(s167, c_t2)) | (~node7(s167, s168)) | m_main_v_state1(s168, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s167, c_n1)) | (~m_main_v_state2(s167, c_t2)) | (~node7(s167, s168)) | m_main_v_state1(s168, c_t1))),
% 5.01/3.87 inference(rewrite,[status(thm)],[])).
% 5.01/3.87 tff(13613,plain,
% 5.01/3.87 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s167, c_n1)) | (~m_main_v_state2(s167, c_t2)) | (~node7(s167, s168)) | m_main_v_state1(s168, c_t1))),
% 5.01/3.87 inference(quant_inst,[status(thm)],[])).
% 5.01/3.87 tff(13614,plain,
% 5.01/3.87 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s167, c_n1)) | (~m_main_v_state2(s167, c_t2)) | (~node7(s167, s168)) | m_main_v_state1(s168, c_t1)),
% 5.01/3.87 inference(modus_ponens,[status(thm)],[13613, 13612])).
% 5.01/3.87 tff(13615,plain,
% 5.01/3.87 ((~m_main_v_state1(s167, c_n1)) | (~m_main_v_state2(s167, c_t2)) | m_main_v_state1(s168, c_t1)),
% 5.01/3.87 inference(unit_resolution,[status(thm)],[13614, 651, 13611])).
% 5.01/3.87 tff(13616,plain,
% 5.01/3.87 (m_main_v_state1(s168, c_t1)),
% 5.01/3.87 inference(unit_resolution,[status(thm)],[13615, 13600, 13544])).
% 5.01/3.87 tff(13617,plain,
% 5.01/3.87 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s168, c_n1)) | (~m_main_v_state1(s168, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s168, c_n1)) | (~m_main_v_state1(s168, c_t1)))),
% 5.01/3.87 inference(rewrite,[status(thm)],[])).
% 5.01/3.87 tff(13618,plain,
% 5.01/3.87 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s168, c_n1)) | (~m_main_v_state1(s168, c_t1)))),
% 5.01/3.87 inference(quant_inst,[status(thm)],[])).
% 5.01/3.87 tff(13619,plain,
% 5.01/3.87 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s168, c_n1)) | (~m_main_v_state1(s168, c_t1))),
% 5.01/3.87 inference(modus_ponens,[status(thm)],[13618, 13617])).
% 5.01/3.87 tff(13620,plain,
% 5.01/3.87 (~m_main_v_state1(s168, c_n1)),
% 5.01/3.87 inference(unit_resolution,[status(thm)],[13619, 10, 13616])).
% 5.01/3.87 tff(13621,plain,
% 5.01/3.87 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s168, c_n1) | (~node1(s168)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s168, c_n1) | (~node1(s168)))),
% 5.01/3.87 inference(rewrite,[status(thm)],[])).
% 5.01/3.87 tff(13622,plain,
% 5.01/3.87 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s168, c_n1) | (~node1(s168)))),
% 5.01/3.87 inference(quant_inst,[status(thm)],[])).
% 5.01/3.87 tff(13623,plain,
% 5.01/3.87 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s168, c_n1) | (~node1(s168))),
% 5.01/3.87 inference(modus_ponens,[status(thm)],[13622, 13621])).
% 5.01/3.87 tff(13624,plain,
% 5.01/3.87 (~node1(s168)),
% 5.01/3.87 inference(unit_resolution,[status(thm)],[13623, 421, 13620])).
% 5.01/3.87 tff(13625,plain,
% 5.01/3.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s167, s168)) | node18(s167, s168))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s167, s168)) | node18(s167, s168))),
% 5.01/3.87 inference(rewrite,[status(thm)],[])).
% 5.01/3.87 tff(13626,plain,
% 5.01/3.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s167, s168)) | node18(s167, s168))),
% 5.01/3.87 inference(quant_inst,[status(thm)],[])).
% 5.01/3.87 tff(13627,plain,
% 5.01/3.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s167, s168)) | node18(s167, s168)),
% 5.01/3.87 inference(modus_ponens,[status(thm)],[13626, 13625])).
% 5.01/3.87 tff(13628,plain,
% 5.01/3.87 (node18(s167, s168)),
% 5.01/3.87 inference(unit_resolution,[status(thm)],[13627, 125, 13607])).
% 5.01/3.87 tff(13629,plain,
% 5.01/3.87 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s167, c_n1)) | (~m_main_v_state2(s167, c_t2)) | (~node18(s167, s168)) | m_main_v_turn(s168, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s167, c_n1)) | (~m_main_v_state2(s167, c_t2)) | (~node18(s167, s168)) | m_main_v_turn(s168, c_2))),
% 5.01/3.87 inference(rewrite,[status(thm)],[])).
% 5.01/3.87 tff(13630,plain,
% 5.01/3.87 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s167, c_n1)) | (~m_main_v_state2(s167, c_t2)) | (~node18(s167, s168)) | m_main_v_turn(s168, c_2))),
% 5.01/3.87 inference(quant_inst,[status(thm)],[])).
% 5.01/3.87 tff(13631,plain,
% 5.01/3.87 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s167, c_n1)) | (~m_main_v_state2(s167, c_t2)) | (~node18(s167, s168)) | m_main_v_turn(s168, c_2)),
% 5.01/3.87 inference(modus_ponens,[status(thm)],[13630, 13629])).
% 5.01/3.87 tff(13632,plain,
% 5.01/3.87 ((~m_main_v_state1(s167, c_n1)) | (~m_main_v_state2(s167, c_t2)) | m_main_v_turn(s168, c_2)),
% 5.01/3.87 inference(unit_resolution,[status(thm)],[13631, 760, 13628])).
% 5.01/3.87 tff(13633,plain,
% 5.01/3.87 (m_main_v_turn(s168, c_2)),
% 5.01/3.87 inference(unit_resolution,[status(thm)],[13632, 13600, 13544])).
% 5.01/3.87 tff(13634,plain,
% 5.01/3.87 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s168, c_1)) | (~m_main_v_turn(s168, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s168, c_1)) | (~m_main_v_turn(s168, c_2)))),
% 5.01/3.87 inference(rewrite,[status(thm)],[])).
% 5.01/3.87 tff(13635,plain,
% 5.01/3.87 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s168, c_1)) | (~m_main_v_turn(s168, c_2)))),
% 5.01/3.87 inference(quant_inst,[status(thm)],[])).
% 5.01/3.87 tff(13636,plain,
% 5.01/3.87 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s168, c_1)) | (~m_main_v_turn(s168, c_2))),
% 5.01/3.87 inference(modus_ponens,[status(thm)],[13635, 13634])).
% 5.01/3.87 tff(13637,plain,
% 5.01/3.87 (~m_main_v_turn(s168, c_1)),
% 5.01/3.87 inference(unit_resolution,[status(thm)],[13636, 156, 13633])).
% 5.01/3.87 tff(13638,plain,
% 5.01/3.87 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s168, c_1) | (~node5(s168)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s168, c_1) | (~node5(s168)))),
% 5.01/3.87 inference(rewrite,[status(thm)],[])).
% 5.01/3.87 tff(13639,plain,
% 5.01/3.87 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s168, c_1) | (~node5(s168)))),
% 5.01/3.87 inference(quant_inst,[status(thm)],[])).
% 5.01/3.87 tff(13640,plain,
% 5.01/3.87 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s168, c_1) | (~node5(s168))),
% 5.01/3.87 inference(modus_ponens,[status(thm)],[13639, 13638])).
% 5.01/3.87 tff(13641,plain,
% 5.01/3.87 (~node5(s168)),
% 5.01/3.87 inference(unit_resolution,[status(thm)],[13640, 776, 13637])).
% 5.01/3.87 tff(13642,plain,
% 5.01/3.87 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s168, c_n1) | (~node2(s168)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s168, c_n1) | (~node2(s168)))),
% 5.01/3.87 inference(rewrite,[status(thm)],[])).
% 5.01/3.87 tff(13643,plain,
% 5.01/3.87 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s168, c_n1) | (~node2(s168)))),
% 5.01/3.87 inference(quant_inst,[status(thm)],[])).
% 5.01/3.87 tff(13644,plain,
% 5.01/3.87 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s168, c_n1) | (~node2(s168))),
% 5.01/3.87 inference(modus_ponens,[status(thm)],[13643, 13642])).
% 5.01/3.87 tff(13645,plain,
% 5.01/3.87 (~node2(s168)),
% 5.01/3.87 inference(unit_resolution,[status(thm)],[13644, 787, 13620])).
% 5.01/3.87 tff(13646,plain,
% 5.01/3.87 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s168, c_n1) | (~node3(s168)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s168, c_n1) | (~node3(s168)))),
% 5.01/3.87 inference(rewrite,[status(thm)],[])).
% 5.01/3.87 tff(13647,plain,
% 5.01/3.87 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s168, c_n1) | (~node3(s168)))),
% 5.01/3.87 inference(quant_inst,[status(thm)],[])).
% 5.01/3.87 tff(13648,plain,
% 5.01/3.87 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s168, c_n1) | (~node3(s168))),
% 5.01/3.87 inference(modus_ponens,[status(thm)],[13647, 13646])).
% 5.01/3.87 tff(13649,plain,
% 5.01/3.87 (~node3(s168)),
% 5.01/3.87 inference(unit_resolution,[status(thm)],[13648, 798, 13620])).
% 5.01/3.87 tff(13650,plain,
% 5.01/3.87 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s168, c_t1)) | (~m_main_v_state1(s168, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s168, c_t1)) | (~m_main_v_state1(s168, c_c1)))),
% 5.01/3.87 inference(rewrite,[status(thm)],[])).
% 5.01/3.87 tff(13651,plain,
% 5.01/3.87 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s168, c_t1)) | (~m_main_v_state1(s168, c_c1)))),
% 5.01/3.87 inference(quant_inst,[status(thm)],[])).
% 5.01/3.87 tff(13652,plain,
% 5.01/3.87 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s168, c_t1)) | (~m_main_v_state1(s168, c_c1))),
% 5.01/3.87 inference(modus_ponens,[status(thm)],[13651, 13650])).
% 5.01/3.87 tff(13653,plain,
% 5.01/3.87 (~m_main_v_state1(s168, c_c1)),
% 5.01/3.87 inference(unit_resolution,[status(thm)],[13652, 539, 13616])).
% 5.01/3.87 tff(13654,plain,
% 5.01/3.87 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s166, c_n2) | (~m_main_v_state2(s167, c_n2)) | (~node13(s166, s167)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s166, c_n2) | (~m_main_v_state2(s167, c_n2)) | (~node13(s166, s167)))),
% 5.01/3.87 inference(rewrite,[status(thm)],[])).
% 5.01/3.87 tff(13655,plain,
% 5.01/3.87 (((~node13(s166, s167)) | m_main_v_state2(s166, c_n2) | (~m_main_v_state2(s167, c_n2))) <=> (m_main_v_state2(s166, c_n2) | (~m_main_v_state2(s167, c_n2)) | (~node13(s166, s167)))),
% 5.01/3.87 inference(rewrite,[status(thm)],[])).
% 5.01/3.87 tff(13656,plain,
% 5.01/3.87 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s166, s167)) | m_main_v_state2(s166, c_n2) | (~m_main_v_state2(s167, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s166, c_n2) | (~m_main_v_state2(s167, c_n2)) | (~node13(s166, s167))))),
% 5.01/3.87 inference(monotonicity,[status(thm)],[13655])).
% 5.01/3.87 tff(13657,plain,
% 5.01/3.87 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s166, s167)) | m_main_v_state2(s166, c_n2) | (~m_main_v_state2(s167, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s166, c_n2) | (~m_main_v_state2(s167, c_n2)) | (~node13(s166, s167)))),
% 5.01/3.87 inference(transitivity,[status(thm)],[13656, 13654])).
% 5.01/3.87 tff(13658,plain,
% 5.01/3.87 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s166, s167)) | m_main_v_state2(s166, c_n2) | (~m_main_v_state2(s167, c_n2)))),
% 5.01/3.87 inference(quant_inst,[status(thm)],[])).
% 5.01/3.87 tff(13659,plain,
% 5.01/3.87 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s166, c_n2) | (~m_main_v_state2(s167, c_n2)) | (~node13(s166, s167))),
% 5.01/3.87 inference(modus_ponens,[status(thm)],[13658, 13657])).
% 5.01/3.87 tff(13660,plain,
% 5.01/3.87 (~m_main_v_state2(s167, c_n2)),
% 5.01/3.87 inference(unit_resolution,[status(thm)],[13659, 311, 13501, 13593])).
% 5.01/3.87 tff(13661,plain,
% 5.01/3.87 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s167, c_n2) | (~node9(s167)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s167, c_n2) | (~node9(s167)))),
% 5.01/3.87 inference(rewrite,[status(thm)],[])).
% 5.01/3.87 tff(13662,plain,
% 5.01/3.87 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s167, c_n2) | (~node9(s167)))),
% 5.01/3.87 inference(quant_inst,[status(thm)],[])).
% 5.01/3.87 tff(13663,plain,
% 5.01/3.87 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s167, c_n2) | (~node9(s167))),
% 5.01/3.87 inference(modus_ponens,[status(thm)],[13662, 13661])).
% 5.01/3.87 tff(13664,plain,
% 5.01/3.87 (~node9(s167)),
% 5.01/3.87 inference(unit_resolution,[status(thm)],[13663, 88, 13660])).
% 5.01/3.87 tff(13665,plain,
% 5.01/3.87 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s167, c_n2) | (~node10(s167)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s167, c_n2) | (~node10(s167)))),
% 5.01/3.87 inference(rewrite,[status(thm)],[])).
% 5.01/3.87 tff(13666,plain,
% 5.01/3.87 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s167, c_n2) | (~node10(s167)))),
% 5.01/3.87 inference(quant_inst,[status(thm)],[])).
% 5.01/3.87 tff(13667,plain,
% 5.01/3.87 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s167, c_n2) | (~node10(s167))),
% 5.01/3.87 inference(modus_ponens,[status(thm)],[13666, 13665])).
% 5.01/3.87 tff(13668,plain,
% 5.01/3.87 (~node10(s167)),
% 5.01/3.87 inference(unit_resolution,[status(thm)],[13667, 249, 13660])).
% 5.01/3.87 tff(13669,plain,
% 5.01/3.87 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s167, c_n2) | (~node8(s167)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s167, c_n2) | (~node8(s167)))),
% 5.01/3.87 inference(rewrite,[status(thm)],[])).
% 5.01/3.87 tff(13670,plain,
% 5.01/3.87 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s167, c_n2) | (~node8(s167)))),
% 5.01/3.87 inference(quant_inst,[status(thm)],[])).
% 5.01/3.87 tff(13671,plain,
% 5.01/3.87 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s167, c_n2) | (~node8(s167))),
% 5.01/3.87 inference(modus_ponens,[status(thm)],[13670, 13669])).
% 5.01/3.87 tff(13672,plain,
% 5.01/3.87 (~node8(s167)),
% 5.01/3.87 inference(unit_resolution,[status(thm)],[13671, 271, 13660])).
% 5.01/3.87 tff(13673,plain,
% 5.01/3.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s167, s168)) | node14(s167, s168))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s167, s168)) | node14(s167, s168))),
% 5.01/3.87 inference(rewrite,[status(thm)],[])).
% 5.01/3.87 tff(13674,plain,
% 5.01/3.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s167, s168)) | node14(s167, s168))),
% 5.01/3.87 inference(quant_inst,[status(thm)],[])).
% 5.01/3.87 tff(13675,plain,
% 5.01/3.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s167, s168)) | node14(s167, s168)),
% 5.01/3.87 inference(modus_ponens,[status(thm)],[13674, 13673])).
% 5.01/3.87 tff(13676,plain,
% 5.01/3.87 (node14(s167, s168)),
% 5.01/3.87 inference(unit_resolution,[status(thm)],[13675, 46, 13607])).
% 5.01/3.87 tff(13677,plain,
% 5.01/3.87 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s167, c_n1)) | (~m_main_v_state2(s167, c_t2)) | node9(s167) | node8(s167) | node10(s167) | (~node14(s167, s168)) | m_main_v_state2(s168, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s167, c_n1)) | (~m_main_v_state2(s167, c_t2)) | node9(s167) | node8(s167) | node10(s167) | (~node14(s167, s168)) | m_main_v_state2(s168, c_c2))),
% 5.01/3.87 inference(rewrite,[status(thm)],[])).
% 5.01/3.87 tff(13678,plain,
% 5.01/3.87 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s167, c_n1)) | (~m_main_v_state2(s167, c_t2)) | node9(s167) | node8(s167) | node10(s167) | (~node14(s167, s168)) | m_main_v_state2(s168, c_c2))),
% 5.01/3.87 inference(quant_inst,[status(thm)],[])).
% 5.01/3.87 tff(13679,plain,
% 5.01/3.87 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s167, c_n1)) | (~m_main_v_state2(s167, c_t2)) | node9(s167) | node8(s167) | node10(s167) | (~node14(s167, s168)) | m_main_v_state2(s168, c_c2)),
% 5.01/3.87 inference(modus_ponens,[status(thm)],[13678, 13677])).
% 5.01/3.87 tff(13680,plain,
% 5.01/3.87 ((~m_main_v_state1(s167, c_n1)) | (~m_main_v_state2(s167, c_t2)) | node9(s167) | node8(s167) | node10(s167) | m_main_v_state2(s168, c_c2)),
% 5.01/3.87 inference(unit_resolution,[status(thm)],[13679, 617, 13676])).
% 5.01/3.87 tff(13681,plain,
% 5.01/3.87 (m_main_v_state2(s168, c_c2)),
% 5.01/3.87 inference(unit_resolution,[status(thm)],[13680, 13672, 13544, 13600, 13668, 13664])).
% 5.01/3.87 tff(13682,plain,
% 5.01/3.87 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s168, c_n2)) | (~m_main_v_state2(s168, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s168, c_n2)) | (~m_main_v_state2(s168, c_c2)))),
% 5.01/3.87 inference(rewrite,[status(thm)],[])).
% 5.01/3.87 tff(13683,plain,
% 5.01/3.87 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s168, c_n2)) | (~m_main_v_state2(s168, c_c2)))),
% 5.01/3.87 inference(quant_inst,[status(thm)],[])).
% 5.01/3.87 tff(13684,plain,
% 5.01/3.87 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s168, c_n2)) | (~m_main_v_state2(s168, c_c2))),
% 5.01/3.87 inference(modus_ponens,[status(thm)],[13683, 13682])).
% 5.01/3.87 tff(13685,plain,
% 5.01/3.88 (~m_main_v_state2(s168, c_n2)),
% 5.01/3.88 inference(unit_resolution,[status(thm)],[13684, 697, 13681])).
% 5.01/3.88 tff(13686,plain,
% 5.01/3.88 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s168, c_n2) | (~node4(s168)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s168, c_n2) | (~node4(s168)))),
% 5.01/3.88 inference(rewrite,[status(thm)],[])).
% 5.01/3.88 tff(13687,plain,
% 5.01/3.88 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s168, c_n2) | (~node4(s168)))),
% 5.01/3.88 inference(quant_inst,[status(thm)],[])).
% 5.01/3.88 tff(13688,plain,
% 5.01/3.88 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s168, c_n2) | (~node4(s168))),
% 5.01/3.88 inference(modus_ponens,[status(thm)],[13687, 13686])).
% 5.01/3.88 tff(13689,plain,
% 5.01/3.88 (~node4(s168)),
% 5.01/3.88 inference(unit_resolution,[status(thm)],[13688, 388, 13685])).
% 5.01/3.88 tff(13690,plain,
% 5.01/3.88 (succ(s168, s169) <=> succ(s168, s169)),
% 5.01/3.88 inference(rewrite,[status(thm)],[])).
% 5.01/3.88 tff(13691,axiom,(succ(s168, s169)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound169')).
% 5.01/3.88 tff(13692,plain,
% 5.01/3.88 (succ(s168, s169)),
% 5.01/3.88 inference(modus_ponens,[status(thm)],[13691, 13690])).
% 5.01/3.88 tff(13693,plain,
% 5.01/3.88 (((~![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))),
% 5.01/3.88 inference(rewrite,[status(thm)],[])).
% 5.01/3.88 tff(13694,plain,
% 5.01/3.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s168, s169)) | trans(s168, s169))),
% 5.01/3.88 inference(quant_inst,[status(thm)],[])).
% 5.01/3.88 tff(13695,plain,
% 5.01/3.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s168, s169)) | trans(s168, s169)),
% 5.01/3.88 inference(modus_ponens,[status(thm)],[13694, 13693])).
% 5.01/3.88 tff(13696,plain,
% 5.01/3.88 (trans(s168, s169)),
% 5.01/3.88 inference(unit_resolution,[status(thm)],[13695, 13692, 32])).
% 5.01/3.88 tff(13697,plain,
% 5.01/3.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s168, s169)) | node7(s168, s169))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s168, s169)) | node7(s168, s169))),
% 5.01/3.88 inference(rewrite,[status(thm)],[])).
% 5.01/3.88 tff(13698,plain,
% 5.01/3.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s168, s169)) | node7(s168, s169))),
% 5.01/3.88 inference(quant_inst,[status(thm)],[])).
% 5.01/3.88 tff(13699,plain,
% 5.01/3.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s168, s169)) | node7(s168, s169)),
% 5.01/3.88 inference(modus_ponens,[status(thm)],[13698, 13697])).
% 5.01/3.88 tff(13700,plain,
% 5.01/3.88 (node7(s168, s169)),
% 5.01/3.88 inference(unit_resolution,[status(thm)],[13699, 206, 13696])).
% 5.01/3.88 tff(13701,plain,
% 5.01/3.88 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s168, c_c1) | node1(s168) | node2(s168) | node3(s168) | node4(s168) | node5(s168) | node6(s168, s169) | (~node7(s168, s169)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s168, c_c1) | node1(s168) | node2(s168) | node3(s168) | node4(s168) | node5(s168) | node6(s168, s169) | (~node7(s168, s169)))),
% 5.01/3.88 inference(rewrite,[status(thm)],[])).
% 5.01/3.88 tff(13702,plain,
% 5.01/3.88 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s168, c_c1) | node1(s168) | node2(s168) | node3(s168) | node4(s168) | node5(s168) | node6(s168, s169) | (~node7(s168, s169)))),
% 5.01/3.88 inference(quant_inst,[status(thm)],[])).
% 5.01/3.88 tff(13703,plain,
% 5.01/3.88 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s168, c_c1) | node1(s168) | node2(s168) | node3(s168) | node4(s168) | node5(s168) | node6(s168, s169) | (~node7(s168, s169))),
% 5.01/3.88 inference(modus_ponens,[status(thm)],[13702, 13701])).
% 5.01/3.88 tff(13704,plain,
% 5.01/3.88 (m_main_v_state1(s168, c_c1) | node1(s168) | node2(s168) | node3(s168) | node4(s168) | node5(s168) | node6(s168, s169)),
% 5.01/3.88 inference(unit_resolution,[status(thm)],[13703, 820, 13700])).
% 5.01/3.88 tff(13705,plain,
% 5.01/3.88 (node6(s168, s169)),
% 5.01/3.88 inference(unit_resolution,[status(thm)],[13704, 13689, 13653, 13649, 13645, 13641, 13624])).
% 5.01/3.88 tff(13706,plain,
% 5.01/3.88 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s168, c_t1)) | m_main_v_state1(s169, c_t1) | (~node6(s168, s169)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s168, c_t1)) | m_main_v_state1(s169, c_t1) | (~node6(s168, s169)))),
% 5.01/3.88 inference(rewrite,[status(thm)],[])).
% 5.01/3.88 tff(13707,plain,
% 5.01/3.88 (((~node6(s168, s169)) | (~m_main_v_state1(s168, c_t1)) | m_main_v_state1(s169, c_t1)) <=> ((~m_main_v_state1(s168, c_t1)) | m_main_v_state1(s169, c_t1) | (~node6(s168, s169)))),
% 5.01/3.88 inference(rewrite,[status(thm)],[])).
% 5.01/3.88 tff(13708,plain,
% 5.01/3.88 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s168, s169)) | (~m_main_v_state1(s168, c_t1)) | m_main_v_state1(s169, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s168, c_t1)) | m_main_v_state1(s169, c_t1) | (~node6(s168, s169))))),
% 5.01/3.88 inference(monotonicity,[status(thm)],[13707])).
% 5.01/3.88 tff(13709,plain,
% 5.01/3.88 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s168, s169)) | (~m_main_v_state1(s168, c_t1)) | m_main_v_state1(s169, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s168, c_t1)) | m_main_v_state1(s169, c_t1) | (~node6(s168, s169)))),
% 5.01/3.88 inference(transitivity,[status(thm)],[13708, 13706])).
% 5.01/3.88 tff(13710,plain,
% 5.01/3.88 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s168, s169)) | (~m_main_v_state1(s168, c_t1)) | m_main_v_state1(s169, c_t1))),
% 5.01/3.88 inference(quant_inst,[status(thm)],[])).
% 5.01/3.88 tff(13711,plain,
% 5.01/3.88 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s168, c_t1)) | m_main_v_state1(s169, c_t1) | (~node6(s168, s169))),
% 5.01/3.88 inference(modus_ponens,[status(thm)],[13710, 13709])).
% 5.01/3.88 tff(13712,plain,
% 5.01/3.88 (m_main_v_state1(s169, c_t1)),
% 5.01/3.88 inference(unit_resolution,[status(thm)],[13711, 856, 13616, 13705])).
% 5.01/3.88 tff(13713,plain,
% 5.01/3.88 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s168, c_t2)) | (~m_main_v_state2(s168, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s168, c_t2)) | (~m_main_v_state2(s168, c_c2)))),
% 5.01/3.88 inference(rewrite,[status(thm)],[])).
% 5.01/3.88 tff(13714,plain,
% 5.01/3.88 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s168, c_t2)) | (~m_main_v_state2(s168, c_c2)))),
% 5.01/3.88 inference(quant_inst,[status(thm)],[])).
% 5.01/3.88 tff(13715,plain,
% 5.01/3.88 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s168, c_t2)) | (~m_main_v_state2(s168, c_c2))),
% 5.01/3.88 inference(modus_ponens,[status(thm)],[13714, 13713])).
% 5.01/3.88 tff(13716,plain,
% 5.01/3.88 (~m_main_v_state2(s168, c_t2)),
% 5.01/3.88 inference(unit_resolution,[status(thm)],[13715, 260, 13681])).
% 5.01/3.88 tff(13717,plain,
% 5.01/3.88 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s168, c_t2) | (~node12(s168)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s168, c_t2) | (~node12(s168)))),
% 5.01/3.88 inference(rewrite,[status(thm)],[])).
% 5.01/3.88 tff(13718,plain,
% 5.01/3.88 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s168, c_t2) | (~node12(s168)))),
% 5.01/3.88 inference(quant_inst,[status(thm)],[])).
% 5.01/3.88 tff(13719,plain,
% 5.01/3.88 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s168, c_t2) | (~node12(s168))),
% 5.01/3.88 inference(modus_ponens,[status(thm)],[13718, 13717])).
% 5.01/3.88 tff(13720,plain,
% 5.01/3.88 (~node12(s168)),
% 5.01/3.88 inference(unit_resolution,[status(thm)],[13719, 633, 13716])).
% 5.01/3.88 tff(13721,plain,
% 5.01/3.88 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s168, c_n1) | (~node11(s168)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s168, c_n1) | (~node11(s168)))),
% 5.01/3.88 inference(rewrite,[status(thm)],[])).
% 5.01/3.88 tff(13722,plain,
% 5.01/3.88 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s168, c_n1) | (~node11(s168)))),
% 5.01/3.88 inference(quant_inst,[status(thm)],[])).
% 5.01/3.88 tff(13723,plain,
% 5.01/3.88 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s168, c_n1) | (~node11(s168))),
% 5.01/3.88 inference(modus_ponens,[status(thm)],[13722, 13721])).
% 5.01/3.88 tff(13724,plain,
% 5.01/3.88 (~node11(s168)),
% 5.01/3.88 inference(unit_resolution,[status(thm)],[13723, 238, 13620])).
% 5.01/3.88 tff(13725,plain,
% 5.01/3.88 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s168, c_c1) | (~node10(s168)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s168, c_c1) | (~node10(s168)))),
% 5.01/3.88 inference(rewrite,[status(thm)],[])).
% 5.01/3.88 tff(13726,plain,
% 5.01/3.88 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s168, c_c1) | (~node10(s168)))),
% 5.01/3.88 inference(quant_inst,[status(thm)],[])).
% 5.01/3.88 tff(13727,plain,
% 5.01/3.88 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s168, c_c1) | (~node10(s168))),
% 5.01/3.88 inference(modus_ponens,[status(thm)],[13726, 13725])).
% 5.01/3.88 tff(13728,plain,
% 5.01/3.88 (~node10(s168)),
% 5.01/3.88 inference(unit_resolution,[status(thm)],[13727, 675, 13653])).
% 5.01/3.88 tff(13729,plain,
% 5.01/3.88 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s168, c_n1) | (~node9(s168)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s168, c_n1) | (~node9(s168)))),
% 5.01/3.88 inference(rewrite,[status(thm)],[])).
% 5.01/3.88 tff(13730,plain,
% 5.01/3.88 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s168, c_n1) | (~node9(s168)))),
% 5.01/3.88 inference(quant_inst,[status(thm)],[])).
% 5.01/3.88 tff(13731,plain,
% 5.01/3.88 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s168, c_n1) | (~node9(s168))),
% 5.01/3.88 inference(modus_ponens,[status(thm)],[13730, 13729])).
% 5.01/3.88 tff(13732,plain,
% 5.01/3.88 (~node9(s168)),
% 5.01/3.88 inference(unit_resolution,[status(thm)],[13731, 686, 13620])).
% 5.01/3.88 tff(13733,plain,
% 5.01/3.88 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s168, c_n2) | (~node8(s168)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s168, c_n2) | (~node8(s168)))),
% 5.01/3.88 inference(rewrite,[status(thm)],[])).
% 5.01/3.88 tff(13734,plain,
% 5.01/3.88 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s168, c_n2) | (~node8(s168)))),
% 5.01/3.88 inference(quant_inst,[status(thm)],[])).
% 5.01/3.88 tff(13735,plain,
% 5.01/3.88 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s168, c_n2) | (~node8(s168))),
% 5.01/3.88 inference(modus_ponens,[status(thm)],[13734, 13733])).
% 5.01/3.88 tff(13736,plain,
% 5.01/3.88 (~node8(s168)),
% 5.01/3.88 inference(unit_resolution,[status(thm)],[13735, 271, 13685])).
% 5.01/3.88 tff(13737,plain,
% 5.01/3.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s168, s169)) | node14(s168, s169))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s168, s169)) | node14(s168, s169))),
% 5.01/3.88 inference(rewrite,[status(thm)],[])).
% 5.01/3.88 tff(13738,plain,
% 5.01/3.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s168, s169)) | node14(s168, s169))),
% 5.01/3.88 inference(quant_inst,[status(thm)],[])).
% 5.01/3.88 tff(13739,plain,
% 5.01/3.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s168, s169)) | node14(s168, s169)),
% 5.01/3.88 inference(modus_ponens,[status(thm)],[13738, 13737])).
% 5.01/3.88 tff(13740,plain,
% 5.01/3.88 (node14(s168, s169)),
% 5.01/3.88 inference(unit_resolution,[status(thm)],[13739, 46, 13696])).
% 5.01/3.88 tff(13741,plain,
% 5.01/3.88 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s169, c_n2) | node9(s168) | node8(s168) | node10(s168) | node11(s168) | node12(s168) | (~node14(s168, s169)) | (~m_main_v_state2(s168, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s169, c_n2) | node9(s168) | node8(s168) | node10(s168) | node11(s168) | node12(s168) | (~node14(s168, s169)) | (~m_main_v_state2(s168, c_c2)))),
% 5.01/3.88 inference(rewrite,[status(thm)],[])).
% 5.01/3.88 tff(13742,plain,
% 5.01/3.88 (((~m_main_v_state2(s168, c_c2)) | node9(s168) | node8(s168) | node10(s168) | node11(s168) | node12(s168) | (~node14(s168, s169)) | m_main_v_state2(s169, c_n2)) <=> (m_main_v_state2(s169, c_n2) | node9(s168) | node8(s168) | node10(s168) | node11(s168) | node12(s168) | (~node14(s168, s169)) | (~m_main_v_state2(s168, c_c2)))),
% 5.01/3.88 inference(rewrite,[status(thm)],[])).
% 5.01/3.88 tff(13743,plain,
% 5.01/3.88 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s168, c_c2)) | node9(s168) | node8(s168) | node10(s168) | node11(s168) | node12(s168) | (~node14(s168, s169)) | m_main_v_state2(s169, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s169, c_n2) | node9(s168) | node8(s168) | node10(s168) | node11(s168) | node12(s168) | (~node14(s168, s169)) | (~m_main_v_state2(s168, c_c2))))),
% 5.01/3.88 inference(monotonicity,[status(thm)],[13742])).
% 5.01/3.88 tff(13744,plain,
% 5.01/3.88 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s168, c_c2)) | node9(s168) | node8(s168) | node10(s168) | node11(s168) | node12(s168) | (~node14(s168, s169)) | m_main_v_state2(s169, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s169, c_n2) | node9(s168) | node8(s168) | node10(s168) | node11(s168) | node12(s168) | (~node14(s168, s169)) | (~m_main_v_state2(s168, c_c2)))),
% 5.01/3.88 inference(transitivity,[status(thm)],[13743, 13741])).
% 5.01/3.88 tff(13745,plain,
% 5.01/3.88 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s168, c_c2)) | node9(s168) | node8(s168) | node10(s168) | node11(s168) | node12(s168) | (~node14(s168, s169)) | m_main_v_state2(s169, c_n2))),
% 5.01/3.88 inference(quant_inst,[status(thm)],[])).
% 5.01/3.88 tff(13746,plain,
% 5.01/3.88 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s169, c_n2) | node9(s168) | node8(s168) | node10(s168) | node11(s168) | node12(s168) | (~node14(s168, s169)) | (~m_main_v_state2(s168, c_c2))),
% 5.01/3.88 inference(modus_ponens,[status(thm)],[13745, 13744])).
% 5.01/3.88 tff(13747,plain,
% 5.01/3.88 (m_main_v_state2(s169, c_n2) | node9(s168) | node8(s168) | node10(s168) | node11(s168) | node12(s168) | (~m_main_v_state2(s168, c_c2))),
% 5.01/3.88 inference(unit_resolution,[status(thm)],[13746, 726, 13740])).
% 5.01/3.88 tff(13748,plain,
% 5.01/3.88 (m_main_v_state2(s169, c_n2)),
% 5.01/3.88 inference(unit_resolution,[status(thm)],[13747, 13736, 13681, 13732, 13728, 13724, 13720])).
% 5.01/3.88 tff(13749,plain,
% 5.01/3.88 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s169, c_n2)) | (~m_main_v_state2(s169, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s169, c_n2)) | (~m_main_v_state2(s169, c_t2)))),
% 5.01/3.88 inference(rewrite,[status(thm)],[])).
% 5.01/3.88 tff(13750,plain,
% 5.01/3.88 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s169, c_n2)) | (~m_main_v_state2(s169, c_t2)))),
% 5.01/3.88 inference(quant_inst,[status(thm)],[])).
% 5.01/3.88 tff(13751,plain,
% 5.01/3.88 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s169, c_n2)) | (~m_main_v_state2(s169, c_t2))),
% 5.01/3.88 inference(modus_ponens,[status(thm)],[13750, 13749])).
% 5.01/3.88 tff(13752,plain,
% 5.01/3.88 (~m_main_v_state2(s169, c_t2)),
% 5.01/3.88 inference(unit_resolution,[status(thm)],[13751, 77, 13748])).
% 5.01/3.88 tff(13753,plain,
% 5.01/3.88 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s169, c_t2) | (~node15(s169)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s169, c_t2) | (~node15(s169)))),
% 5.01/3.88 inference(rewrite,[status(thm)],[])).
% 5.01/3.88 tff(13754,plain,
% 5.01/3.88 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s169, c_t2) | (~node15(s169)))),
% 5.01/3.88 inference(quant_inst,[status(thm)],[])).
% 5.01/3.88 tff(13755,plain,
% 5.01/3.88 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s169, c_t2) | (~node15(s169))),
% 5.01/3.88 inference(modus_ponens,[status(thm)],[13754, 13753])).
% 5.01/3.88 tff(13756,plain,
% 5.01/3.88 (~node15(s169)),
% 5.01/3.88 inference(unit_resolution,[status(thm)],[13755, 103, 13752])).
% 5.01/3.88 tff(13757,plain,
% 5.01/3.88 (succ(s169, s170) <=> succ(s169, s170)),
% 5.01/3.88 inference(rewrite,[status(thm)],[])).
% 5.01/3.88 tff(13758,axiom,(succ(s169, s170)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound170')).
% 5.01/3.88 tff(13759,plain,
% 5.01/3.88 (succ(s169, s170)),
% 5.01/3.88 inference(modus_ponens,[status(thm)],[13758, 13757])).
% 5.01/3.88 tff(13760,plain,
% 5.01/3.88 (((~![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))),
% 5.01/3.88 inference(rewrite,[status(thm)],[])).
% 5.01/3.88 tff(13761,plain,
% 5.01/3.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s169, s170)) | trans(s169, s170))),
% 5.01/3.88 inference(quant_inst,[status(thm)],[])).
% 5.01/3.88 tff(13762,plain,
% 5.01/3.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s169, s170)) | trans(s169, s170)),
% 5.01/3.88 inference(modus_ponens,[status(thm)],[13761, 13760])).
% 5.01/3.88 tff(13763,plain,
% 5.01/3.88 (trans(s169, s170)),
% 5.01/3.88 inference(unit_resolution,[status(thm)],[13762, 13759, 32])).
% 5.01/3.88 tff(13764,plain,
% 5.01/3.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s169, s170)) | node18(s169, s170))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s169, s170)) | node18(s169, s170))),
% 5.01/3.88 inference(rewrite,[status(thm)],[])).
% 5.01/3.88 tff(13765,plain,
% 5.01/3.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s169, s170)) | node18(s169, s170))),
% 5.01/3.88 inference(quant_inst,[status(thm)],[])).
% 5.01/3.88 tff(13766,plain,
% 5.01/3.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s169, s170)) | node18(s169, s170)),
% 5.01/3.88 inference(modus_ponens,[status(thm)],[13765, 13764])).
% 5.01/3.88 tff(13767,plain,
% 5.01/3.88 (node18(s169, s170)),
% 5.01/3.88 inference(unit_resolution,[status(thm)],[13766, 125, 13763])).
% 5.01/3.88 tff(13768,plain,
% 5.01/3.88 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s169) | (~node18(s169, s170)) | (~m_main_v_state1(s169, c_t1)) | (~m_main_v_state2(s169, c_n2)) | m_main_v_turn(s170, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s169) | (~node18(s169, s170)) | (~m_main_v_state1(s169, c_t1)) | (~m_main_v_state2(s169, c_n2)) | m_main_v_turn(s170, c_1))),
% 5.01/3.88 inference(rewrite,[status(thm)],[])).
% 5.01/3.88 tff(13769,plain,
% 5.01/3.88 (((~m_main_v_state1(s169, c_t1)) | (~m_main_v_state2(s169, c_n2)) | node15(s169) | (~node18(s169, s170)) | m_main_v_turn(s170, c_1)) <=> (node15(s169) | (~node18(s169, s170)) | (~m_main_v_state1(s169, c_t1)) | (~m_main_v_state2(s169, c_n2)) | m_main_v_turn(s170, c_1))),
% 5.01/3.88 inference(rewrite,[status(thm)],[])).
% 5.01/3.88 tff(13770,plain,
% 5.01/3.88 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s169, c_t1)) | (~m_main_v_state2(s169, c_n2)) | node15(s169) | (~node18(s169, s170)) | m_main_v_turn(s170, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s169) | (~node18(s169, s170)) | (~m_main_v_state1(s169, c_t1)) | (~m_main_v_state2(s169, c_n2)) | m_main_v_turn(s170, c_1)))),
% 5.01/3.88 inference(monotonicity,[status(thm)],[13769])).
% 5.01/3.88 tff(13771,plain,
% 5.01/3.88 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s169, c_t1)) | (~m_main_v_state2(s169, c_n2)) | node15(s169) | (~node18(s169, s170)) | m_main_v_turn(s170, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s169) | (~node18(s169, s170)) | (~m_main_v_state1(s169, c_t1)) | (~m_main_v_state2(s169, c_n2)) | m_main_v_turn(s170, c_1))),
% 5.01/3.88 inference(transitivity,[status(thm)],[13770, 13768])).
% 5.01/3.88 tff(13772,plain,
% 5.01/3.88 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s169, c_t1)) | (~m_main_v_state2(s169, c_n2)) | node15(s169) | (~node18(s169, s170)) | m_main_v_turn(s170, c_1))),
% 5.01/3.88 inference(quant_inst,[status(thm)],[])).
% 5.01/3.88 tff(13773,plain,
% 5.01/3.88 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s169) | (~node18(s169, s170)) | (~m_main_v_state1(s169, c_t1)) | (~m_main_v_state2(s169, c_n2)) | m_main_v_turn(s170, c_1)),
% 5.01/3.88 inference(modus_ponens,[status(thm)],[13772, 13771])).
% 5.01/3.88 tff(13774,plain,
% 5.01/3.88 (node15(s169) | (~m_main_v_state1(s169, c_t1)) | (~m_main_v_state2(s169, c_n2)) | m_main_v_turn(s170, c_1)),
% 5.01/3.88 inference(unit_resolution,[status(thm)],[13773, 992, 13767])).
% 5.01/3.88 tff(13775,plain,
% 5.01/3.88 (m_main_v_turn(s170, c_1)),
% 5.01/3.88 inference(unit_resolution,[status(thm)],[13774, 13756, 13748, 13712])).
% 5.01/3.88 tff(13776,plain,
% 5.01/3.88 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s170, c_1)) | (~m_main_v_turn(s170, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s170, c_1)) | (~m_main_v_turn(s170, c_2)))),
% 5.01/3.88 inference(rewrite,[status(thm)],[])).
% 5.01/3.88 tff(13777,plain,
% 5.01/3.88 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s170, c_1)) | (~m_main_v_turn(s170, c_2)))),
% 5.01/3.88 inference(quant_inst,[status(thm)],[])).
% 5.01/3.88 tff(13778,plain,
% 5.01/3.88 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s170, c_1)) | (~m_main_v_turn(s170, c_2))),
% 5.01/3.88 inference(modus_ponens,[status(thm)],[13777, 13776])).
% 5.01/3.88 tff(13779,plain,
% 5.01/3.88 (~m_main_v_turn(s170, c_2)),
% 5.01/3.88 inference(unit_resolution,[status(thm)],[13778, 156, 13775])).
% 5.01/3.88 tff(13780,plain,
% 5.01/3.88 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s170, c_2) | (~node12(s170)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s170, c_2) | (~node12(s170)))),
% 5.01/3.88 inference(rewrite,[status(thm)],[])).
% 5.01/3.88 tff(13781,plain,
% 5.01/3.88 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s170, c_2) | (~node12(s170)))),
% 5.01/3.88 inference(quant_inst,[status(thm)],[])).
% 5.01/3.88 tff(13782,plain,
% 5.01/3.88 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s170, c_2) | (~node12(s170))),
% 5.01/3.88 inference(modus_ponens,[status(thm)],[13781, 13780])).
% 5.01/3.88 tff(13783,plain,
% 5.01/3.88 (~node12(s170)),
% 5.01/3.88 inference(unit_resolution,[status(thm)],[13782, 184, 13779])).
% 5.01/3.88 tff(13784,plain,
% 5.01/3.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s169, s170)) | node14(s169, s170))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s169, s170)) | node14(s169, s170))),
% 5.01/3.88 inference(rewrite,[status(thm)],[])).
% 5.01/3.88 tff(13785,plain,
% 5.01/3.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s169, s170)) | node14(s169, s170))),
% 5.01/3.88 inference(quant_inst,[status(thm)],[])).
% 5.01/3.88 tff(13786,plain,
% 5.01/3.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s169, s170)) | node14(s169, s170)),
% 5.01/3.88 inference(modus_ponens,[status(thm)],[13785, 13784])).
% 5.01/3.88 tff(13787,plain,
% 5.01/3.88 (node14(s169, s170)),
% 5.01/3.88 inference(unit_resolution,[status(thm)],[13786, 46, 13763])).
% 5.01/3.88 tff(13788,plain,
% 5.01/3.88 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s169, c_t1)) | (~m_main_v_state2(s169, c_n2)) | (~node14(s169, s170)) | m_main_v_state2(s170, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s169, c_t1)) | (~m_main_v_state2(s169, c_n2)) | (~node14(s169, s170)) | m_main_v_state2(s170, c_t2))),
% 5.01/3.88 inference(rewrite,[status(thm)],[])).
% 5.01/3.88 tff(13789,plain,
% 5.01/3.88 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s169, c_t1)) | (~m_main_v_state2(s169, c_n2)) | (~node14(s169, s170)) | m_main_v_state2(s170, c_t2))),
% 5.01/3.88 inference(quant_inst,[status(thm)],[])).
% 5.01/3.88 tff(13790,plain,
% 5.01/3.88 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s169, c_t1)) | (~m_main_v_state2(s169, c_n2)) | (~node14(s169, s170)) | m_main_v_state2(s170, c_t2)),
% 5.01/3.88 inference(modus_ponens,[status(thm)],[13789, 13788])).
% 5.01/3.88 tff(13791,plain,
% 5.01/3.88 ((~m_main_v_state1(s169, c_t1)) | (~m_main_v_state2(s169, c_n2)) | m_main_v_state2(s170, c_t2)),
% 5.01/3.88 inference(unit_resolution,[status(thm)],[13790, 922, 13787])).
% 5.01/3.88 tff(13792,plain,
% 5.01/3.88 (m_main_v_state2(s170, c_t2)),
% 5.01/3.88 inference(unit_resolution,[status(thm)],[13791, 13712, 13748])).
% 5.01/3.88 tff(13793,plain,
% 5.01/3.88 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s170, c_n2)) | (~m_main_v_state2(s170, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s170, c_n2)) | (~m_main_v_state2(s170, c_t2)))),
% 5.01/3.88 inference(rewrite,[status(thm)],[])).
% 5.01/3.88 tff(13794,plain,
% 5.01/3.88 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s170, c_n2)) | (~m_main_v_state2(s170, c_t2)))),
% 5.01/3.88 inference(quant_inst,[status(thm)],[])).
% 5.01/3.88 tff(13795,plain,
% 5.01/3.88 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s170, c_n2)) | (~m_main_v_state2(s170, c_t2))),
% 5.01/3.88 inference(modus_ponens,[status(thm)],[13794, 13793])).
% 5.01/3.88 tff(13796,plain,
% 5.01/3.88 (~m_main_v_state2(s170, c_n2)),
% 5.01/3.88 inference(unit_resolution,[status(thm)],[13795, 77, 13792])).
% 5.01/3.88 tff(13797,plain,
% 5.01/3.88 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s170, c_n2) | (~node8(s170)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s170, c_n2) | (~node8(s170)))),
% 5.01/3.88 inference(rewrite,[status(thm)],[])).
% 5.01/3.88 tff(13798,plain,
% 5.01/3.88 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s170, c_n2) | (~node8(s170)))),
% 5.01/3.88 inference(quant_inst,[status(thm)],[])).
% 5.01/3.88 tff(13799,plain,
% 5.01/3.88 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s170, c_n2) | (~node8(s170))),
% 5.01/3.88 inference(modus_ponens,[status(thm)],[13798, 13797])).
% 5.01/3.88 tff(13800,plain,
% 5.01/3.88 (~node8(s170)),
% 5.01/3.88 inference(unit_resolution,[status(thm)],[13799, 271, 13796])).
% 5.01/3.88 tff(13801,plain,
% 5.01/3.88 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s170, c_n2) | (~node9(s170)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s170, c_n2) | (~node9(s170)))),
% 5.01/3.88 inference(rewrite,[status(thm)],[])).
% 5.01/3.88 tff(13802,plain,
% 5.01/3.88 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s170, c_n2) | (~node9(s170)))),
% 5.01/3.88 inference(quant_inst,[status(thm)],[])).
% 5.01/3.88 tff(13803,plain,
% 5.01/3.88 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s170, c_n2) | (~node9(s170))),
% 5.01/3.88 inference(modus_ponens,[status(thm)],[13802, 13801])).
% 5.01/3.88 tff(13804,plain,
% 5.01/3.88 (~node9(s170)),
% 5.01/3.88 inference(unit_resolution,[status(thm)],[13803, 88, 13796])).
% 5.01/3.88 tff(13805,plain,
% 5.01/3.88 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s170, c_n2) | (~node10(s170)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s170, c_n2) | (~node10(s170)))),
% 5.01/3.88 inference(rewrite,[status(thm)],[])).
% 5.01/3.89 tff(13806,plain,
% 5.01/3.89 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s170, c_n2) | (~node10(s170)))),
% 5.01/3.89 inference(quant_inst,[status(thm)],[])).
% 5.01/3.89 tff(13807,plain,
% 5.01/3.89 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s170, c_n2) | (~node10(s170))),
% 5.01/3.89 inference(modus_ponens,[status(thm)],[13806, 13805])).
% 5.01/3.89 tff(13808,plain,
% 5.01/3.89 (~node10(s170)),
% 5.01/3.89 inference(unit_resolution,[status(thm)],[13807, 249, 13796])).
% 5.01/3.89 tff(13809,plain,
% 5.01/3.89 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s170, c_t2)) | (~m_main_v_state2(s170, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s170, c_t2)) | (~m_main_v_state2(s170, c_c2)))),
% 5.01/3.89 inference(rewrite,[status(thm)],[])).
% 5.01/3.89 tff(13810,plain,
% 5.01/3.89 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s170, c_t2)) | (~m_main_v_state2(s170, c_c2)))),
% 5.01/3.89 inference(quant_inst,[status(thm)],[])).
% 5.01/3.89 tff(13811,plain,
% 5.01/3.89 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s170, c_t2)) | (~m_main_v_state2(s170, c_c2))),
% 5.01/3.89 inference(modus_ponens,[status(thm)],[13810, 13809])).
% 5.01/3.89 tff(13812,plain,
% 5.01/3.89 (~m_main_v_state2(s170, c_c2)),
% 5.01/3.89 inference(unit_resolution,[status(thm)],[13811, 260, 13792])).
% 5.01/3.89 tff(13813,plain,
% 5.01/3.89 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s169, c_n2)) | (~m_main_v_state2(s169, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s169, c_n2)) | (~m_main_v_state2(s169, c_c2)))),
% 5.01/3.89 inference(rewrite,[status(thm)],[])).
% 5.01/3.89 tff(13814,plain,
% 5.01/3.89 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s169, c_n2)) | (~m_main_v_state2(s169, c_c2)))),
% 5.01/3.89 inference(quant_inst,[status(thm)],[])).
% 5.01/3.89 tff(13815,plain,
% 5.01/3.89 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s169, c_n2)) | (~m_main_v_state2(s169, c_c2))),
% 5.01/3.89 inference(modus_ponens,[status(thm)],[13814, 13813])).
% 5.01/3.89 tff(13816,plain,
% 5.01/3.89 (~m_main_v_state2(s169, c_c2)),
% 5.01/3.89 inference(unit_resolution,[status(thm)],[13815, 697, 13748])).
% 5.01/3.89 tff(13817,plain,
% 5.01/3.89 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s169, c_c2) | (~node3(s169)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s169, c_c2) | (~node3(s169)))),
% 5.01/3.89 inference(rewrite,[status(thm)],[])).
% 5.01/3.89 tff(13818,plain,
% 5.01/3.89 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s169, c_c2) | (~node3(s169)))),
% 5.01/3.89 inference(quant_inst,[status(thm)],[])).
% 5.01/3.89 tff(13819,plain,
% 5.01/3.89 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s169, c_c2) | (~node3(s169))),
% 5.01/3.89 inference(modus_ponens,[status(thm)],[13818, 13817])).
% 5.01/3.89 tff(13820,plain,
% 5.01/3.89 (~node3(s169)),
% 5.01/3.89 inference(unit_resolution,[status(thm)],[13819, 399, 13816])).
% 5.01/3.89 tff(13821,plain,
% 5.01/3.89 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s168, c_n1) | (~m_main_v_state1(s169, c_n1)) | (~node6(s168, s169)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s168, c_n1) | (~m_main_v_state1(s169, c_n1)) | (~node6(s168, s169)))),
% 5.01/3.89 inference(rewrite,[status(thm)],[])).
% 5.01/3.89 tff(13822,plain,
% 5.01/3.89 (((~node6(s168, s169)) | m_main_v_state1(s168, c_n1) | (~m_main_v_state1(s169, c_n1))) <=> (m_main_v_state1(s168, c_n1) | (~m_main_v_state1(s169, c_n1)) | (~node6(s168, s169)))),
% 5.01/3.89 inference(rewrite,[status(thm)],[])).
% 5.01/3.89 tff(13823,plain,
% 5.01/3.89 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s168, s169)) | m_main_v_state1(s168, c_n1) | (~m_main_v_state1(s169, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s168, c_n1) | (~m_main_v_state1(s169, c_n1)) | (~node6(s168, s169))))),
% 5.01/3.89 inference(monotonicity,[status(thm)],[13822])).
% 5.01/3.89 tff(13824,plain,
% 5.01/3.89 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s168, s169)) | m_main_v_state1(s168, c_n1) | (~m_main_v_state1(s169, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s168, c_n1) | (~m_main_v_state1(s169, c_n1)) | (~node6(s168, s169)))),
% 5.01/3.89 inference(transitivity,[status(thm)],[13823, 13821])).
% 5.01/3.89 tff(13825,plain,
% 5.01/3.89 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s168, s169)) | m_main_v_state1(s168, c_n1) | (~m_main_v_state1(s169, c_n1)))),
% 5.01/3.89 inference(quant_inst,[status(thm)],[])).
% 5.01/3.89 tff(13826,plain,
% 5.01/3.89 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s168, c_n1) | (~m_main_v_state1(s169, c_n1)) | (~node6(s168, s169))),
% 5.01/3.89 inference(modus_ponens,[status(thm)],[13825, 13824])).
% 5.01/3.89 tff(13827,plain,
% 5.01/3.89 (~m_main_v_state1(s169, c_n1)),
% 5.01/3.89 inference(unit_resolution,[status(thm)],[13826, 835, 13620, 13705])).
% 5.01/3.89 tff(13828,plain,
% 5.01/3.89 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s169, c_n1) | (~node2(s169)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s169, c_n1) | (~node2(s169)))),
% 5.01/3.89 inference(rewrite,[status(thm)],[])).
% 5.01/3.89 tff(13829,plain,
% 5.01/3.89 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s169, c_n1) | (~node2(s169)))),
% 5.01/3.89 inference(quant_inst,[status(thm)],[])).
% 5.01/3.89 tff(13830,plain,
% 5.01/3.89 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s169, c_n1) | (~node2(s169))),
% 5.01/3.89 inference(modus_ponens,[status(thm)],[13829, 13828])).
% 5.01/3.89 tff(13831,plain,
% 5.01/3.89 (~node2(s169)),
% 5.01/3.89 inference(unit_resolution,[status(thm)],[13830, 787, 13827])).
% 5.01/3.89 tff(13832,plain,
% 5.01/3.89 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s169, c_t2) | (~node1(s169)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s169, c_t2) | (~node1(s169)))),
% 5.01/3.89 inference(rewrite,[status(thm)],[])).
% 5.01/3.89 tff(13833,plain,
% 5.01/3.89 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s169, c_t2) | (~node1(s169)))),
% 5.01/3.89 inference(quant_inst,[status(thm)],[])).
% 5.01/3.89 tff(13834,plain,
% 5.01/3.89 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s169, c_t2) | (~node1(s169))),
% 5.01/3.89 inference(modus_ponens,[status(thm)],[13833, 13832])).
% 5.01/3.89 tff(13835,plain,
% 5.01/3.89 (~node1(s169)),
% 5.01/3.89 inference(unit_resolution,[status(thm)],[13834, 195, 13752])).
% 5.01/3.89 tff(13836,plain,
% 5.01/3.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s169, s170)) | node7(s169, s170))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s169, s170)) | node7(s169, s170))),
% 5.01/3.89 inference(rewrite,[status(thm)],[])).
% 5.01/3.89 tff(13837,plain,
% 5.01/3.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s169, s170)) | node7(s169, s170))),
% 5.01/3.89 inference(quant_inst,[status(thm)],[])).
% 5.01/3.89 tff(13838,plain,
% 5.01/3.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s169, s170)) | node7(s169, s170)),
% 5.01/3.89 inference(modus_ponens,[status(thm)],[13837, 13836])).
% 5.01/3.89 tff(13839,plain,
% 5.01/3.89 (node7(s169, s170)),
% 5.01/3.89 inference(unit_resolution,[status(thm)],[13838, 206, 13763])).
% 5.01/3.89 tff(13840,plain,
% 5.01/3.89 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s169, c_t1)) | (~m_main_v_state2(s169, c_n2)) | m_main_v_state1(s170, c_c1) | node1(s169) | node2(s169) | node3(s169) | (~node7(s169, s170)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s169, c_t1)) | (~m_main_v_state2(s169, c_n2)) | m_main_v_state1(s170, c_c1) | node1(s169) | node2(s169) | node3(s169) | (~node7(s169, s170)))),
% 5.01/3.89 inference(rewrite,[status(thm)],[])).
% 5.01/3.89 tff(13841,plain,
% 5.01/3.89 (((~m_main_v_state1(s169, c_t1)) | (~m_main_v_state2(s169, c_n2)) | node1(s169) | node2(s169) | node3(s169) | (~node7(s169, s170)) | m_main_v_state1(s170, c_c1)) <=> ((~m_main_v_state1(s169, c_t1)) | (~m_main_v_state2(s169, c_n2)) | m_main_v_state1(s170, c_c1) | node1(s169) | node2(s169) | node3(s169) | (~node7(s169, s170)))),
% 5.01/3.89 inference(rewrite,[status(thm)],[])).
% 5.01/3.89 tff(13842,plain,
% 5.01/3.89 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s169, c_t1)) | (~m_main_v_state2(s169, c_n2)) | node1(s169) | node2(s169) | node3(s169) | (~node7(s169, s170)) | m_main_v_state1(s170, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s169, c_t1)) | (~m_main_v_state2(s169, c_n2)) | m_main_v_state1(s170, c_c1) | node1(s169) | node2(s169) | node3(s169) | (~node7(s169, s170))))),
% 5.01/3.89 inference(monotonicity,[status(thm)],[13841])).
% 5.01/3.89 tff(13843,plain,
% 5.01/3.89 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s169, c_t1)) | (~m_main_v_state2(s169, c_n2)) | node1(s169) | node2(s169) | node3(s169) | (~node7(s169, s170)) | m_main_v_state1(s170, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s169, c_t1)) | (~m_main_v_state2(s169, c_n2)) | m_main_v_state1(s170, c_c1) | node1(s169) | node2(s169) | node3(s169) | (~node7(s169, s170)))),
% 5.01/3.89 inference(transitivity,[status(thm)],[13842, 13840])).
% 5.01/3.89 tff(13844,plain,
% 5.01/3.89 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s169, c_t1)) | (~m_main_v_state2(s169, c_n2)) | node1(s169) | node2(s169) | node3(s169) | (~node7(s169, s170)) | m_main_v_state1(s170, c_c1))),
% 5.01/3.89 inference(quant_inst,[status(thm)],[])).
% 5.01/3.89 tff(13845,plain,
% 5.01/3.89 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s169, c_t1)) | (~m_main_v_state2(s169, c_n2)) | m_main_v_state1(s170, c_c1) | node1(s169) | node2(s169) | node3(s169) | (~node7(s169, s170))),
% 5.01/3.89 inference(modus_ponens,[status(thm)],[13844, 13843])).
% 5.01/3.89 tff(13846,plain,
% 5.01/3.89 ((~m_main_v_state1(s169, c_t1)) | (~m_main_v_state2(s169, c_n2)) | m_main_v_state1(s170, c_c1) | node1(s169) | node2(s169) | node3(s169)),
% 5.01/3.89 inference(unit_resolution,[status(thm)],[13845, 892, 13839])).
% 5.01/3.89 tff(13847,plain,
% 5.01/3.89 (m_main_v_state1(s170, c_c1)),
% 5.01/3.89 inference(unit_resolution,[status(thm)],[13846, 13835, 13748, 13712, 13831, 13820])).
% 5.01/3.89 tff(13848,plain,
% 5.01/3.89 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s170, c_n1)) | (~m_main_v_state1(s170, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s170, c_n1)) | (~m_main_v_state1(s170, c_c1)))),
% 5.01/3.89 inference(rewrite,[status(thm)],[])).
% 5.01/3.89 tff(13849,plain,
% 5.01/3.89 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s170, c_n1)) | (~m_main_v_state1(s170, c_c1)))),
% 5.01/3.89 inference(quant_inst,[status(thm)],[])).
% 5.01/3.89 tff(13850,plain,
% 5.01/3.89 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s170, c_n1)) | (~m_main_v_state1(s170, c_c1))),
% 5.01/3.89 inference(modus_ponens,[status(thm)],[13849, 13848])).
% 5.01/3.89 tff(13851,plain,
% 5.01/3.89 (~m_main_v_state1(s170, c_n1)),
% 5.01/3.89 inference(unit_resolution,[status(thm)],[13850, 454, 13847])).
% 5.01/3.89 tff(13852,plain,
% 5.01/3.89 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s170, c_n1) | (~node11(s170)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s170, c_n1) | (~node11(s170)))),
% 5.01/3.89 inference(rewrite,[status(thm)],[])).
% 5.01/3.89 tff(13853,plain,
% 5.01/3.89 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s170, c_n1) | (~node11(s170)))),
% 5.01/3.89 inference(quant_inst,[status(thm)],[])).
% 5.01/3.89 tff(13854,plain,
% 5.01/3.89 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s170, c_n1) | (~node11(s170))),
% 5.01/3.89 inference(modus_ponens,[status(thm)],[13853, 13852])).
% 5.01/3.89 tff(13855,plain,
% 5.01/3.89 (~node11(s170)),
% 5.01/3.89 inference(unit_resolution,[status(thm)],[13854, 238, 13851])).
% 5.01/3.89 tff(13856,plain,
% 5.01/3.89 (succ(s170, s171) <=> succ(s170, s171)),
% 5.01/3.89 inference(rewrite,[status(thm)],[])).
% 5.01/3.89 tff(13857,axiom,(succ(s170, s171)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound171')).
% 5.01/3.89 tff(13858,plain,
% 5.01/3.89 (succ(s170, s171)),
% 5.01/3.89 inference(modus_ponens,[status(thm)],[13857, 13856])).
% 5.01/3.89 tff(13859,plain,
% 5.01/3.89 (((~![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))),
% 5.01/3.89 inference(rewrite,[status(thm)],[])).
% 5.01/3.89 tff(13860,plain,
% 5.01/3.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s170, s171)) | trans(s170, s171))),
% 5.01/3.89 inference(quant_inst,[status(thm)],[])).
% 5.01/3.89 tff(13861,plain,
% 5.01/3.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s170, s171)) | trans(s170, s171)),
% 5.01/3.89 inference(modus_ponens,[status(thm)],[13860, 13859])).
% 5.01/3.89 tff(13862,plain,
% 5.01/3.89 (trans(s170, s171)),
% 5.01/3.89 inference(unit_resolution,[status(thm)],[13861, 13858, 32])).
% 5.01/3.89 tff(13863,plain,
% 5.01/3.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s170, s171)) | node14(s170, s171))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s170, s171)) | node14(s170, s171))),
% 5.01/3.89 inference(rewrite,[status(thm)],[])).
% 5.01/3.89 tff(13864,plain,
% 5.01/3.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s170, s171)) | node14(s170, s171))),
% 5.01/3.89 inference(quant_inst,[status(thm)],[])).
% 5.01/3.89 tff(13865,plain,
% 5.01/3.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s170, s171)) | node14(s170, s171)),
% 5.01/3.89 inference(modus_ponens,[status(thm)],[13864, 13863])).
% 5.01/3.89 tff(13866,plain,
% 5.01/3.89 (node14(s170, s171)),
% 5.01/3.89 inference(unit_resolution,[status(thm)],[13865, 46, 13862])).
% 5.01/3.89 tff(13867,plain,
% 5.01/3.89 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s170, c_c2) | node9(s170) | node8(s170) | node10(s170) | node11(s170) | node12(s170) | node13(s170, s171) | (~node14(s170, s171)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s170, c_c2) | node9(s170) | node8(s170) | node10(s170) | node11(s170) | node12(s170) | node13(s170, s171) | (~node14(s170, s171)))),
% 5.01/3.89 inference(rewrite,[status(thm)],[])).
% 5.01/3.89 tff(13868,plain,
% 5.01/3.89 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s170, c_c2) | node9(s170) | node8(s170) | node10(s170) | node11(s170) | node12(s170) | node13(s170, s171) | (~node14(s170, s171)))),
% 5.01/3.89 inference(quant_inst,[status(thm)],[])).
% 5.01/3.89 tff(13869,plain,
% 5.01/3.89 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s170, c_c2) | node9(s170) | node8(s170) | node10(s170) | node11(s170) | node12(s170) | node13(s170, s171) | (~node14(s170, s171))),
% 5.01/3.89 inference(modus_ponens,[status(thm)],[13868, 13867])).
% 5.01/3.89 tff(13870,plain,
% 5.01/3.89 (m_main_v_state2(s170, c_c2) | node9(s170) | node8(s170) | node10(s170) | node11(s170) | node12(s170) | node13(s170, s171)),
% 5.01/3.89 inference(unit_resolution,[status(thm)],[13869, 296, 13866])).
% 5.01/3.89 tff(13871,plain,
% 5.01/3.89 (node13(s170, s171)),
% 5.01/3.89 inference(unit_resolution,[status(thm)],[13870, 13855, 13812, 13808, 13804, 13800, 13783])).
% 5.01/3.89 tff(13872,plain,
% 5.01/3.89 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s170, c_n2) | (~m_main_v_state2(s171, c_n2)) | (~node13(s170, s171)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s170, c_n2) | (~m_main_v_state2(s171, c_n2)) | (~node13(s170, s171)))),
% 5.01/3.89 inference(rewrite,[status(thm)],[])).
% 5.01/3.89 tff(13873,plain,
% 5.01/3.89 (((~node13(s170, s171)) | m_main_v_state2(s170, c_n2) | (~m_main_v_state2(s171, c_n2))) <=> (m_main_v_state2(s170, c_n2) | (~m_main_v_state2(s171, c_n2)) | (~node13(s170, s171)))),
% 5.01/3.89 inference(rewrite,[status(thm)],[])).
% 5.01/3.89 tff(13874,plain,
% 5.01/3.89 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s170, s171)) | m_main_v_state2(s170, c_n2) | (~m_main_v_state2(s171, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s170, c_n2) | (~m_main_v_state2(s171, c_n2)) | (~node13(s170, s171))))),
% 5.01/3.89 inference(monotonicity,[status(thm)],[13873])).
% 5.01/3.89 tff(13875,plain,
% 5.01/3.89 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s170, s171)) | m_main_v_state2(s170, c_n2) | (~m_main_v_state2(s171, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s170, c_n2) | (~m_main_v_state2(s171, c_n2)) | (~node13(s170, s171)))),
% 5.01/3.89 inference(transitivity,[status(thm)],[13874, 13872])).
% 5.01/3.89 tff(13876,plain,
% 5.01/3.89 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s170, s171)) | m_main_v_state2(s170, c_n2) | (~m_main_v_state2(s171, c_n2)))),
% 5.01/3.89 inference(quant_inst,[status(thm)],[])).
% 5.01/3.89 tff(13877,plain,
% 5.01/3.89 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s170, c_n2) | (~m_main_v_state2(s171, c_n2)) | (~node13(s170, s171))),
% 5.01/3.89 inference(modus_ponens,[status(thm)],[13876, 13875])).
% 5.01/3.89 tff(13878,plain,
% 5.01/3.89 (~m_main_v_state2(s171, c_n2)),
% 5.01/3.89 inference(unit_resolution,[status(thm)],[13877, 311, 13796, 13871])).
% 5.01/3.89 tff(13879,plain,
% 5.01/3.89 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s171, c_n2) | (~node9(s171)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s171, c_n2) | (~node9(s171)))),
% 5.01/3.89 inference(rewrite,[status(thm)],[])).
% 5.01/3.89 tff(13880,plain,
% 5.01/3.89 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s171, c_n2) | (~node9(s171)))),
% 5.01/3.89 inference(quant_inst,[status(thm)],[])).
% 5.01/3.89 tff(13881,plain,
% 5.01/3.89 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s171, c_n2) | (~node9(s171))),
% 5.01/3.89 inference(modus_ponens,[status(thm)],[13880, 13879])).
% 5.01/3.89 tff(13882,plain,
% 5.01/3.89 (~node9(s171)),
% 5.01/3.89 inference(unit_resolution,[status(thm)],[13881, 88, 13878])).
% 5.01/3.89 tff(13883,plain,
% 5.01/3.89 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s171, c_n2) | (~node10(s171)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s171, c_n2) | (~node10(s171)))),
% 5.01/3.89 inference(rewrite,[status(thm)],[])).
% 5.01/3.89 tff(13884,plain,
% 5.01/3.89 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s171, c_n2) | (~node10(s171)))),
% 5.01/3.89 inference(quant_inst,[status(thm)],[])).
% 5.01/3.89 tff(13885,plain,
% 5.01/3.89 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s171, c_n2) | (~node10(s171))),
% 5.01/3.89 inference(modus_ponens,[status(thm)],[13884, 13883])).
% 5.01/3.89 tff(13886,plain,
% 5.01/3.89 (~node10(s171)),
% 5.01/3.89 inference(unit_resolution,[status(thm)],[13885, 249, 13878])).
% 5.01/3.89 tff(13887,plain,
% 5.01/3.89 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s170, c_t2)) | m_main_v_state2(s171, c_t2) | (~node13(s170, s171)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s170, c_t2)) | m_main_v_state2(s171, c_t2) | (~node13(s170, s171)))),
% 5.01/3.89 inference(rewrite,[status(thm)],[])).
% 5.01/3.89 tff(13888,plain,
% 5.01/3.89 (((~node13(s170, s171)) | (~m_main_v_state2(s170, c_t2)) | m_main_v_state2(s171, c_t2)) <=> ((~m_main_v_state2(s170, c_t2)) | m_main_v_state2(s171, c_t2) | (~node13(s170, s171)))),
% 5.01/3.89 inference(rewrite,[status(thm)],[])).
% 5.01/3.89 tff(13889,plain,
% 5.01/3.89 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s170, s171)) | (~m_main_v_state2(s170, c_t2)) | m_main_v_state2(s171, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s170, c_t2)) | m_main_v_state2(s171, c_t2) | (~node13(s170, s171))))),
% 5.01/3.89 inference(monotonicity,[status(thm)],[13888])).
% 5.01/3.89 tff(13890,plain,
% 5.01/3.89 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s170, s171)) | (~m_main_v_state2(s170, c_t2)) | m_main_v_state2(s171, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s170, c_t2)) | m_main_v_state2(s171, c_t2) | (~node13(s170, s171)))),
% 5.01/3.89 inference(transitivity,[status(thm)],[13889, 13887])).
% 5.01/3.89 tff(13891,plain,
% 5.01/3.89 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s170, s171)) | (~m_main_v_state2(s170, c_t2)) | m_main_v_state2(s171, c_t2))),
% 5.01/3.89 inference(quant_inst,[status(thm)],[])).
% 5.01/3.89 tff(13892,plain,
% 5.01/3.89 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s170, c_t2)) | m_main_v_state2(s171, c_t2) | (~node13(s170, s171))),
% 5.01/3.89 inference(modus_ponens,[status(thm)],[13891, 13890])).
% 5.01/3.89 tff(13893,plain,
% 5.01/3.89 (m_main_v_state2(s171, c_t2)),
% 5.01/3.89 inference(unit_resolution,[status(thm)],[13892, 518, 13792, 13871])).
% 5.01/3.89 tff(13894,plain,
% 5.01/3.89 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s170, c_t1)) | (~m_main_v_state1(s170, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s170, c_t1)) | (~m_main_v_state1(s170, c_c1)))),
% 5.01/3.89 inference(rewrite,[status(thm)],[])).
% 5.01/3.89 tff(13895,plain,
% 5.01/3.89 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s170, c_t1)) | (~m_main_v_state1(s170, c_c1)))),
% 5.01/3.89 inference(quant_inst,[status(thm)],[])).
% 5.01/3.89 tff(13896,plain,
% 5.01/3.89 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s170, c_t1)) | (~m_main_v_state1(s170, c_c1))),
% 5.01/3.89 inference(modus_ponens,[status(thm)],[13895, 13894])).
% 5.01/3.89 tff(13897,plain,
% 5.01/3.89 (~m_main_v_state1(s170, c_t1)),
% 5.01/3.89 inference(unit_resolution,[status(thm)],[13896, 539, 13847])).
% 5.01/3.89 tff(13898,plain,
% 5.01/3.89 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s170, c_t1) | (~node5(s170)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s170, c_t1) | (~node5(s170)))),
% 5.01/3.89 inference(rewrite,[status(thm)],[])).
% 5.01/3.89 tff(13899,plain,
% 5.01/3.89 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s170, c_t1) | (~node5(s170)))),
% 5.01/3.89 inference(quant_inst,[status(thm)],[])).
% 5.01/3.89 tff(13900,plain,
% 5.01/3.89 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s170, c_t1) | (~node5(s170))),
% 5.01/3.89 inference(modus_ponens,[status(thm)],[13899, 13898])).
% 5.01/3.89 tff(13901,plain,
% 5.01/3.89 (~node5(s170)),
% 5.01/3.89 inference(unit_resolution,[status(thm)],[13900, 550, 13897])).
% 5.01/3.89 tff(13902,plain,
% 5.01/3.89 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s170, c_n2) | (~node4(s170)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s170, c_n2) | (~node4(s170)))),
% 5.01/3.89 inference(rewrite,[status(thm)],[])).
% 5.01/3.89 tff(13903,plain,
% 5.01/3.89 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s170, c_n2) | (~node4(s170)))),
% 5.01/3.89 inference(quant_inst,[status(thm)],[])).
% 5.01/3.89 tff(13904,plain,
% 5.01/3.89 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s170, c_n2) | (~node4(s170))),
% 5.01/3.89 inference(modus_ponens,[status(thm)],[13903, 13902])).
% 5.01/3.89 tff(13905,plain,
% 5.01/3.89 (~node4(s170)),
% 5.01/3.89 inference(unit_resolution,[status(thm)],[13904, 388, 13796])).
% 5.01/3.89 tff(13906,plain,
% 5.01/3.89 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s170, c_c2) | (~node3(s170)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s170, c_c2) | (~node3(s170)))),
% 5.01/3.89 inference(rewrite,[status(thm)],[])).
% 5.01/3.89 tff(13907,plain,
% 5.01/3.89 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s170, c_c2) | (~node3(s170)))),
% 5.01/3.89 inference(quant_inst,[status(thm)],[])).
% 5.01/3.89 tff(13908,plain,
% 5.01/3.89 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s170, c_c2) | (~node3(s170))),
% 5.01/3.89 inference(modus_ponens,[status(thm)],[13907, 13906])).
% 5.01/3.89 tff(13909,plain,
% 5.01/3.89 (~node3(s170)),
% 5.01/3.89 inference(unit_resolution,[status(thm)],[13908, 399, 13812])).
% 5.01/3.89 tff(13910,plain,
% 5.01/3.89 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s170, c_n2) | (~node2(s170)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s170, c_n2) | (~node2(s170)))),
% 5.01/3.89 inference(rewrite,[status(thm)],[])).
% 5.01/3.89 tff(13911,plain,
% 5.01/3.89 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s170, c_n2) | (~node2(s170)))),
% 5.01/3.89 inference(quant_inst,[status(thm)],[])).
% 5.01/3.89 tff(13912,plain,
% 5.01/3.89 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s170, c_n2) | (~node2(s170))),
% 5.01/3.89 inference(modus_ponens,[status(thm)],[13911, 13910])).
% 5.01/3.89 tff(13913,plain,
% 5.01/3.89 (~node2(s170)),
% 5.01/3.89 inference(unit_resolution,[status(thm)],[13912, 410, 13796])).
% 5.01/3.89 tff(13914,plain,
% 5.01/3.89 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s170, c_n1) | (~node1(s170)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s170, c_n1) | (~node1(s170)))),
% 5.01/3.89 inference(rewrite,[status(thm)],[])).
% 5.01/3.89 tff(13915,plain,
% 5.01/3.89 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s170, c_n1) | (~node1(s170)))),
% 5.01/3.89 inference(quant_inst,[status(thm)],[])).
% 5.01/3.89 tff(13916,plain,
% 5.01/3.89 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s170, c_n1) | (~node1(s170))),
% 5.01/3.89 inference(modus_ponens,[status(thm)],[13915, 13914])).
% 5.01/3.89 tff(13917,plain,
% 5.01/3.89 (~node1(s170)),
% 5.01/3.89 inference(unit_resolution,[status(thm)],[13916, 421, 13851])).
% 5.01/3.89 tff(13918,plain,
% 5.01/3.89 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s170, s171)) | node7(s170, s171))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s170, s171)) | node7(s170, s171))),
% 5.01/3.89 inference(rewrite,[status(thm)],[])).
% 5.01/3.89 tff(13919,plain,
% 5.01/3.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s170, s171)) | node7(s170, s171))),
% 5.01/3.89 inference(quant_inst,[status(thm)],[])).
% 5.01/3.89 tff(13920,plain,
% 5.01/3.89 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s170, s171)) | node7(s170, s171)),
% 5.01/3.89 inference(modus_ponens,[status(thm)],[13919, 13918])).
% 5.01/3.89 tff(13921,plain,
% 5.01/3.89 (node7(s170, s171)),
% 5.01/3.89 inference(unit_resolution,[status(thm)],[13920, 206, 13862])).
% 5.01/3.90 tff(13922,plain,
% 5.01/3.90 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s171, c_n1) | (~m_main_v_state1(s170, c_c1)) | node1(s170) | node2(s170) | node3(s170) | node4(s170) | node5(s170) | (~node7(s170, s171)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s171, c_n1) | (~m_main_v_state1(s170, c_c1)) | node1(s170) | node2(s170) | node3(s170) | node4(s170) | node5(s170) | (~node7(s170, s171)))),
% 5.01/3.90 inference(rewrite,[status(thm)],[])).
% 5.01/3.90 tff(13923,plain,
% 5.01/3.90 (((~m_main_v_state1(s170, c_c1)) | node1(s170) | node2(s170) | node3(s170) | node4(s170) | node5(s170) | (~node7(s170, s171)) | m_main_v_state1(s171, c_n1)) <=> (m_main_v_state1(s171, c_n1) | (~m_main_v_state1(s170, c_c1)) | node1(s170) | node2(s170) | node3(s170) | node4(s170) | node5(s170) | (~node7(s170, s171)))),
% 5.01/3.90 inference(rewrite,[status(thm)],[])).
% 5.01/3.90 tff(13924,plain,
% 5.01/3.90 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s170, c_c1)) | node1(s170) | node2(s170) | node3(s170) | node4(s170) | node5(s170) | (~node7(s170, s171)) | m_main_v_state1(s171, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s171, c_n1) | (~m_main_v_state1(s170, c_c1)) | node1(s170) | node2(s170) | node3(s170) | node4(s170) | node5(s170) | (~node7(s170, s171))))),
% 5.01/3.90 inference(monotonicity,[status(thm)],[13923])).
% 5.01/3.90 tff(13925,plain,
% 5.01/3.90 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s170, c_c1)) | node1(s170) | node2(s170) | node3(s170) | node4(s170) | node5(s170) | (~node7(s170, s171)) | m_main_v_state1(s171, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s171, c_n1) | (~m_main_v_state1(s170, c_c1)) | node1(s170) | node2(s170) | node3(s170) | node4(s170) | node5(s170) | (~node7(s170, s171)))),
% 5.01/3.90 inference(transitivity,[status(thm)],[13924, 13922])).
% 5.01/3.90 tff(13926,plain,
% 5.01/3.90 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s170, c_c1)) | node1(s170) | node2(s170) | node3(s170) | node4(s170) | node5(s170) | (~node7(s170, s171)) | m_main_v_state1(s171, c_n1))),
% 5.01/3.90 inference(quant_inst,[status(thm)],[])).
% 5.01/3.90 tff(13927,plain,
% 5.01/3.90 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s171, c_n1) | (~m_main_v_state1(s170, c_c1)) | node1(s170) | node2(s170) | node3(s170) | node4(s170) | node5(s170) | (~node7(s170, s171))),
% 5.01/3.90 inference(modus_ponens,[status(thm)],[13926, 13925])).
% 5.01/3.90 tff(13928,plain,
% 5.01/3.90 (m_main_v_state1(s171, c_n1) | (~m_main_v_state1(s170, c_c1)) | node1(s170) | node2(s170) | node3(s170) | node4(s170) | node5(s170)),
% 5.01/3.90 inference(unit_resolution,[status(thm)],[13927, 584, 13921])).
% 5.01/3.90 tff(13929,plain,
% 5.01/3.90 (m_main_v_state1(s171, c_n1)),
% 5.01/3.90 inference(unit_resolution,[status(thm)],[13928, 13917, 13847, 13913, 13909, 13905, 13901])).
% 5.01/3.90 tff(13930,plain,
% 5.01/3.90 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s171, c_n2) | (~node8(s171)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s171, c_n2) | (~node8(s171)))),
% 5.01/3.90 inference(rewrite,[status(thm)],[])).
% 5.01/3.90 tff(13931,plain,
% 5.01/3.90 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s171, c_n2) | (~node8(s171)))),
% 5.01/3.90 inference(quant_inst,[status(thm)],[])).
% 5.01/3.90 tff(13932,plain,
% 5.01/3.90 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s171, c_n2) | (~node8(s171))),
% 5.01/3.90 inference(modus_ponens,[status(thm)],[13931, 13930])).
% 5.01/3.90 tff(13933,plain,
% 5.01/3.90 (~node8(s171)),
% 5.01/3.90 inference(unit_resolution,[status(thm)],[13932, 271, 13878])).
% 5.01/3.90 tff(13934,plain,
% 5.01/3.90 (succ(s171, s172) <=> succ(s171, s172)),
% 5.01/3.90 inference(rewrite,[status(thm)],[])).
% 5.01/3.90 tff(13935,axiom,(succ(s171, s172)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound172')).
% 5.01/3.90 tff(13936,plain,
% 5.01/3.90 (succ(s171, s172)),
% 5.01/3.90 inference(modus_ponens,[status(thm)],[13935, 13934])).
% 5.01/3.90 tff(13937,plain,
% 5.01/3.90 (((~![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))),
% 5.01/3.90 inference(rewrite,[status(thm)],[])).
% 5.01/3.90 tff(13938,plain,
% 5.01/3.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s171, s172)) | trans(s171, s172))),
% 5.01/3.90 inference(quant_inst,[status(thm)],[])).
% 5.01/3.90 tff(13939,plain,
% 5.01/3.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s171, s172)) | trans(s171, s172)),
% 5.01/3.90 inference(modus_ponens,[status(thm)],[13938, 13937])).
% 5.01/3.90 tff(13940,plain,
% 5.01/3.90 (trans(s171, s172)),
% 5.01/3.90 inference(unit_resolution,[status(thm)],[13939, 13936, 32])).
% 5.01/3.90 tff(13941,plain,
% 5.01/3.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s171, s172)) | node14(s171, s172))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s171, s172)) | node14(s171, s172))),
% 5.01/3.90 inference(rewrite,[status(thm)],[])).
% 5.01/3.90 tff(13942,plain,
% 5.01/3.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s171, s172)) | node14(s171, s172))),
% 5.01/3.90 inference(quant_inst,[status(thm)],[])).
% 5.01/3.90 tff(13943,plain,
% 5.01/3.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s171, s172)) | node14(s171, s172)),
% 5.01/3.90 inference(modus_ponens,[status(thm)],[13942, 13941])).
% 5.01/3.90 tff(13944,plain,
% 5.01/3.90 (node14(s171, s172)),
% 5.01/3.90 inference(unit_resolution,[status(thm)],[13943, 46, 13940])).
% 5.01/3.90 tff(13945,plain,
% 5.01/3.90 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s171, c_n1)) | (~m_main_v_state2(s171, c_t2)) | node9(s171) | node8(s171) | node10(s171) | (~node14(s171, s172)) | m_main_v_state2(s172, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s171, c_n1)) | (~m_main_v_state2(s171, c_t2)) | node9(s171) | node8(s171) | node10(s171) | (~node14(s171, s172)) | m_main_v_state2(s172, c_c2))),
% 5.01/3.90 inference(rewrite,[status(thm)],[])).
% 5.01/3.90 tff(13946,plain,
% 5.01/3.90 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s171, c_n1)) | (~m_main_v_state2(s171, c_t2)) | node9(s171) | node8(s171) | node10(s171) | (~node14(s171, s172)) | m_main_v_state2(s172, c_c2))),
% 5.01/3.90 inference(quant_inst,[status(thm)],[])).
% 5.01/3.90 tff(13947,plain,
% 5.01/3.90 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s171, c_n1)) | (~m_main_v_state2(s171, c_t2)) | node9(s171) | node8(s171) | node10(s171) | (~node14(s171, s172)) | m_main_v_state2(s172, c_c2)),
% 5.01/3.90 inference(modus_ponens,[status(thm)],[13946, 13945])).
% 5.01/3.90 tff(13948,plain,
% 5.01/3.90 ((~m_main_v_state1(s171, c_n1)) | (~m_main_v_state2(s171, c_t2)) | node9(s171) | node8(s171) | node10(s171) | m_main_v_state2(s172, c_c2)),
% 5.01/3.90 inference(unit_resolution,[status(thm)],[13947, 617, 13944])).
% 5.01/3.90 tff(13949,plain,
% 5.01/3.90 (m_main_v_state2(s172, c_c2)),
% 5.01/3.90 inference(unit_resolution,[status(thm)],[13948, 13933, 13929, 13893, 13886, 13882])).
% 5.01/3.90 tff(13950,plain,
% 5.01/3.90 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s172, c_t2)) | (~m_main_v_state2(s172, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s172, c_t2)) | (~m_main_v_state2(s172, c_c2)))),
% 5.01/3.90 inference(rewrite,[status(thm)],[])).
% 5.01/3.90 tff(13951,plain,
% 5.01/3.90 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s172, c_t2)) | (~m_main_v_state2(s172, c_c2)))),
% 5.01/3.90 inference(quant_inst,[status(thm)],[])).
% 5.01/3.90 tff(13952,plain,
% 5.01/3.90 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s172, c_t2)) | (~m_main_v_state2(s172, c_c2))),
% 5.01/3.90 inference(modus_ponens,[status(thm)],[13951, 13950])).
% 5.01/3.90 tff(13953,plain,
% 5.01/3.90 (~m_main_v_state2(s172, c_t2)),
% 5.01/3.90 inference(unit_resolution,[status(thm)],[13952, 260, 13949])).
% 5.01/3.90 tff(13954,plain,
% 5.01/3.90 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s172, c_t2) | (~node12(s172)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s172, c_t2) | (~node12(s172)))),
% 5.01/3.90 inference(rewrite,[status(thm)],[])).
% 5.01/3.90 tff(13955,plain,
% 5.01/3.90 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s172, c_t2) | (~node12(s172)))),
% 5.01/3.90 inference(quant_inst,[status(thm)],[])).
% 5.01/3.90 tff(13956,plain,
% 5.01/3.90 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s172, c_t2) | (~node12(s172))),
% 5.01/3.90 inference(modus_ponens,[status(thm)],[13955, 13954])).
% 5.01/3.90 tff(13957,plain,
% 5.01/3.90 (~node12(s172)),
% 5.01/3.90 inference(unit_resolution,[status(thm)],[13956, 633, 13953])).
% 5.01/3.90 tff(13958,plain,
% 5.01/3.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s171, s172)) | node7(s171, s172))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s171, s172)) | node7(s171, s172))),
% 5.01/3.90 inference(rewrite,[status(thm)],[])).
% 5.01/3.90 tff(13959,plain,
% 5.01/3.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s171, s172)) | node7(s171, s172))),
% 5.01/3.90 inference(quant_inst,[status(thm)],[])).
% 5.01/3.90 tff(13960,plain,
% 5.01/3.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s171, s172)) | node7(s171, s172)),
% 5.01/3.90 inference(modus_ponens,[status(thm)],[13959, 13958])).
% 5.01/3.90 tff(13961,plain,
% 5.01/3.90 (node7(s171, s172)),
% 5.01/3.90 inference(unit_resolution,[status(thm)],[13960, 206, 13940])).
% 5.01/3.90 tff(13962,plain,
% 5.01/3.90 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s171, c_n1)) | (~m_main_v_state2(s171, c_t2)) | (~node7(s171, s172)) | m_main_v_state1(s172, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s171, c_n1)) | (~m_main_v_state2(s171, c_t2)) | (~node7(s171, s172)) | m_main_v_state1(s172, c_t1))),
% 5.01/3.90 inference(rewrite,[status(thm)],[])).
% 5.01/3.90 tff(13963,plain,
% 5.01/3.90 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s171, c_n1)) | (~m_main_v_state2(s171, c_t2)) | (~node7(s171, s172)) | m_main_v_state1(s172, c_t1))),
% 5.01/3.90 inference(quant_inst,[status(thm)],[])).
% 5.01/3.90 tff(13964,plain,
% 5.01/3.90 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s171, c_n1)) | (~m_main_v_state2(s171, c_t2)) | (~node7(s171, s172)) | m_main_v_state1(s172, c_t1)),
% 5.01/3.90 inference(modus_ponens,[status(thm)],[13963, 13962])).
% 5.01/3.90 tff(13965,plain,
% 5.01/3.90 ((~m_main_v_state1(s171, c_n1)) | (~m_main_v_state2(s171, c_t2)) | m_main_v_state1(s172, c_t1)),
% 5.01/3.90 inference(unit_resolution,[status(thm)],[13964, 651, 13961])).
% 5.01/3.90 tff(13966,plain,
% 5.01/3.90 (m_main_v_state1(s172, c_t1)),
% 5.01/3.90 inference(unit_resolution,[status(thm)],[13965, 13893, 13929])).
% 5.01/3.90 tff(13967,plain,
% 5.01/3.90 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s172, c_n1)) | (~m_main_v_state1(s172, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s172, c_n1)) | (~m_main_v_state1(s172, c_t1)))),
% 5.01/3.90 inference(rewrite,[status(thm)],[])).
% 5.01/3.90 tff(13968,plain,
% 5.01/3.90 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s172, c_n1)) | (~m_main_v_state1(s172, c_t1)))),
% 5.01/3.90 inference(quant_inst,[status(thm)],[])).
% 5.01/3.90 tff(13969,plain,
% 5.01/3.90 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s172, c_n1)) | (~m_main_v_state1(s172, c_t1))),
% 5.01/3.90 inference(modus_ponens,[status(thm)],[13968, 13967])).
% 5.01/3.90 tff(13970,plain,
% 5.01/3.90 (~m_main_v_state1(s172, c_n1)),
% 5.01/3.90 inference(unit_resolution,[status(thm)],[13969, 10, 13966])).
% 5.01/3.90 tff(13971,plain,
% 5.01/3.90 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s172, c_n1) | (~node11(s172)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s172, c_n1) | (~node11(s172)))),
% 5.01/3.90 inference(rewrite,[status(thm)],[])).
% 5.01/3.90 tff(13972,plain,
% 5.01/3.90 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s172, c_n1) | (~node11(s172)))),
% 5.01/3.90 inference(quant_inst,[status(thm)],[])).
% 5.01/3.90 tff(13973,plain,
% 5.01/3.90 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s172, c_n1) | (~node11(s172))),
% 5.01/3.90 inference(modus_ponens,[status(thm)],[13972, 13971])).
% 5.01/3.90 tff(13974,plain,
% 5.01/3.90 (~node11(s172)),
% 5.01/3.90 inference(unit_resolution,[status(thm)],[13973, 238, 13970])).
% 5.01/3.90 tff(13975,plain,
% 5.01/3.90 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s172, c_t1)) | (~m_main_v_state1(s172, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s172, c_t1)) | (~m_main_v_state1(s172, c_c1)))),
% 5.01/3.90 inference(rewrite,[status(thm)],[])).
% 5.01/3.90 tff(13976,plain,
% 5.01/3.90 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s172, c_t1)) | (~m_main_v_state1(s172, c_c1)))),
% 5.01/3.90 inference(quant_inst,[status(thm)],[])).
% 5.01/3.90 tff(13977,plain,
% 5.01/3.90 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s172, c_t1)) | (~m_main_v_state1(s172, c_c1))),
% 5.01/3.90 inference(modus_ponens,[status(thm)],[13976, 13975])).
% 5.01/3.90 tff(13978,plain,
% 5.01/3.90 (~m_main_v_state1(s172, c_c1)),
% 5.01/3.90 inference(unit_resolution,[status(thm)],[13977, 539, 13966])).
% 5.01/3.90 tff(13979,plain,
% 5.01/3.90 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s172, c_c1) | (~node10(s172)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s172, c_c1) | (~node10(s172)))),
% 5.01/3.90 inference(rewrite,[status(thm)],[])).
% 5.01/3.90 tff(13980,plain,
% 5.01/3.90 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s172, c_c1) | (~node10(s172)))),
% 5.01/3.90 inference(quant_inst,[status(thm)],[])).
% 5.01/3.90 tff(13981,plain,
% 5.01/3.90 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s172, c_c1) | (~node10(s172))),
% 5.01/3.90 inference(modus_ponens,[status(thm)],[13980, 13979])).
% 5.01/3.90 tff(13982,plain,
% 5.01/3.90 (~node10(s172)),
% 5.01/3.90 inference(unit_resolution,[status(thm)],[13981, 675, 13978])).
% 5.01/3.90 tff(13983,plain,
% 5.01/3.90 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s172, c_n1) | (~node9(s172)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s172, c_n1) | (~node9(s172)))),
% 5.01/3.90 inference(rewrite,[status(thm)],[])).
% 5.01/3.90 tff(13984,plain,
% 5.01/3.90 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s172, c_n1) | (~node9(s172)))),
% 5.01/3.90 inference(quant_inst,[status(thm)],[])).
% 5.01/3.90 tff(13985,plain,
% 5.01/3.90 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s172, c_n1) | (~node9(s172))),
% 5.01/3.90 inference(modus_ponens,[status(thm)],[13984, 13983])).
% 5.01/3.90 tff(13986,plain,
% 5.01/3.90 (~node9(s172)),
% 5.01/3.90 inference(unit_resolution,[status(thm)],[13985, 686, 13970])).
% 5.01/3.90 tff(13987,plain,
% 5.01/3.90 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s172, c_n2)) | (~m_main_v_state2(s172, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s172, c_n2)) | (~m_main_v_state2(s172, c_c2)))),
% 5.01/3.90 inference(rewrite,[status(thm)],[])).
% 5.01/3.90 tff(13988,plain,
% 5.01/3.90 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s172, c_n2)) | (~m_main_v_state2(s172, c_c2)))),
% 5.01/3.90 inference(quant_inst,[status(thm)],[])).
% 5.01/3.90 tff(13989,plain,
% 5.01/3.90 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s172, c_n2)) | (~m_main_v_state2(s172, c_c2))),
% 5.01/3.90 inference(modus_ponens,[status(thm)],[13988, 13987])).
% 5.01/3.90 tff(13990,plain,
% 5.01/3.90 (~m_main_v_state2(s172, c_n2)),
% 5.01/3.90 inference(unit_resolution,[status(thm)],[13989, 697, 13949])).
% 5.01/3.90 tff(13991,plain,
% 5.01/3.90 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s172, c_n2) | (~node8(s172)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s172, c_n2) | (~node8(s172)))),
% 5.01/3.90 inference(rewrite,[status(thm)],[])).
% 5.01/3.90 tff(13992,plain,
% 5.01/3.90 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s172, c_n2) | (~node8(s172)))),
% 5.01/3.90 inference(quant_inst,[status(thm)],[])).
% 5.01/3.90 tff(13993,plain,
% 5.01/3.90 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s172, c_n2) | (~node8(s172))),
% 5.01/3.90 inference(modus_ponens,[status(thm)],[13992, 13991])).
% 5.01/3.90 tff(13994,plain,
% 5.01/3.90 (~node8(s172)),
% 5.01/3.90 inference(unit_resolution,[status(thm)],[13993, 271, 13990])).
% 5.01/3.90 tff(13995,plain,
% 5.01/3.90 (succ(s172, s173) <=> succ(s172, s173)),
% 5.01/3.90 inference(rewrite,[status(thm)],[])).
% 5.01/3.90 tff(13996,axiom,(succ(s172, s173)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound173')).
% 5.01/3.90 tff(13997,plain,
% 5.01/3.90 (succ(s172, s173)),
% 5.01/3.90 inference(modus_ponens,[status(thm)],[13996, 13995])).
% 5.01/3.90 tff(13998,plain,
% 5.01/3.90 (((~![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))),
% 5.01/3.90 inference(rewrite,[status(thm)],[])).
% 5.01/3.90 tff(13999,plain,
% 5.01/3.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s172, s173)) | trans(s172, s173))),
% 5.01/3.90 inference(quant_inst,[status(thm)],[])).
% 5.01/3.90 tff(14000,plain,
% 5.01/3.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s172, s173)) | trans(s172, s173)),
% 5.01/3.90 inference(modus_ponens,[status(thm)],[13999, 13998])).
% 5.01/3.90 tff(14001,plain,
% 5.01/3.90 (trans(s172, s173)),
% 5.01/3.90 inference(unit_resolution,[status(thm)],[14000, 13997, 32])).
% 5.01/3.90 tff(14002,plain,
% 5.01/3.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s172, s173)) | node14(s172, s173))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s172, s173)) | node14(s172, s173))),
% 5.01/3.90 inference(rewrite,[status(thm)],[])).
% 5.01/3.90 tff(14003,plain,
% 5.01/3.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s172, s173)) | node14(s172, s173))),
% 5.01/3.90 inference(quant_inst,[status(thm)],[])).
% 5.01/3.90 tff(14004,plain,
% 5.01/3.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s172, s173)) | node14(s172, s173)),
% 5.01/3.90 inference(modus_ponens,[status(thm)],[14003, 14002])).
% 5.01/3.90 tff(14005,plain,
% 5.01/3.90 (node14(s172, s173)),
% 5.01/3.90 inference(unit_resolution,[status(thm)],[14004, 46, 14001])).
% 5.01/3.90 tff(14006,plain,
% 5.01/3.90 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s173, c_n2) | node9(s172) | node8(s172) | node10(s172) | node11(s172) | node12(s172) | (~node14(s172, s173)) | (~m_main_v_state2(s172, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s173, c_n2) | node9(s172) | node8(s172) | node10(s172) | node11(s172) | node12(s172) | (~node14(s172, s173)) | (~m_main_v_state2(s172, c_c2)))),
% 5.01/3.90 inference(rewrite,[status(thm)],[])).
% 5.01/3.90 tff(14007,plain,
% 5.01/3.90 (((~m_main_v_state2(s172, c_c2)) | node9(s172) | node8(s172) | node10(s172) | node11(s172) | node12(s172) | (~node14(s172, s173)) | m_main_v_state2(s173, c_n2)) <=> (m_main_v_state2(s173, c_n2) | node9(s172) | node8(s172) | node10(s172) | node11(s172) | node12(s172) | (~node14(s172, s173)) | (~m_main_v_state2(s172, c_c2)))),
% 5.01/3.90 inference(rewrite,[status(thm)],[])).
% 5.01/3.90 tff(14008,plain,
% 5.01/3.90 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s172, c_c2)) | node9(s172) | node8(s172) | node10(s172) | node11(s172) | node12(s172) | (~node14(s172, s173)) | m_main_v_state2(s173, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s173, c_n2) | node9(s172) | node8(s172) | node10(s172) | node11(s172) | node12(s172) | (~node14(s172, s173)) | (~m_main_v_state2(s172, c_c2))))),
% 5.01/3.90 inference(monotonicity,[status(thm)],[14007])).
% 5.01/3.90 tff(14009,plain,
% 5.01/3.90 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s172, c_c2)) | node9(s172) | node8(s172) | node10(s172) | node11(s172) | node12(s172) | (~node14(s172, s173)) | m_main_v_state2(s173, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s173, c_n2) | node9(s172) | node8(s172) | node10(s172) | node11(s172) | node12(s172) | (~node14(s172, s173)) | (~m_main_v_state2(s172, c_c2)))),
% 5.01/3.90 inference(transitivity,[status(thm)],[14008, 14006])).
% 5.01/3.90 tff(14010,plain,
% 5.01/3.90 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s172, c_c2)) | node9(s172) | node8(s172) | node10(s172) | node11(s172) | node12(s172) | (~node14(s172, s173)) | m_main_v_state2(s173, c_n2))),
% 5.01/3.90 inference(quant_inst,[status(thm)],[])).
% 5.01/3.90 tff(14011,plain,
% 5.01/3.90 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s173, c_n2) | node9(s172) | node8(s172) | node10(s172) | node11(s172) | node12(s172) | (~node14(s172, s173)) | (~m_main_v_state2(s172, c_c2))),
% 5.01/3.90 inference(modus_ponens,[status(thm)],[14010, 14009])).
% 5.01/3.90 tff(14012,plain,
% 5.01/3.90 (m_main_v_state2(s173, c_n2) | node9(s172) | node8(s172) | node10(s172) | node11(s172) | node12(s172) | (~m_main_v_state2(s172, c_c2))),
% 5.01/3.90 inference(unit_resolution,[status(thm)],[14011, 726, 14005])).
% 5.01/3.90 tff(14013,plain,
% 5.01/3.90 (m_main_v_state2(s173, c_n2)),
% 5.01/3.90 inference(unit_resolution,[status(thm)],[14012, 13994, 13949, 13986, 13982, 13974, 13957])).
% 5.01/3.90 tff(14014,plain,
% 5.01/3.90 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s173, c_n2)) | (~m_main_v_state2(s173, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s173, c_n2)) | (~m_main_v_state2(s173, c_c2)))),
% 5.01/3.90 inference(rewrite,[status(thm)],[])).
% 5.01/3.90 tff(14015,plain,
% 5.01/3.90 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s173, c_n2)) | (~m_main_v_state2(s173, c_c2)))),
% 5.01/3.90 inference(quant_inst,[status(thm)],[])).
% 5.01/3.90 tff(14016,plain,
% 5.01/3.90 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s173, c_n2)) | (~m_main_v_state2(s173, c_c2))),
% 5.01/3.90 inference(modus_ponens,[status(thm)],[14015, 14014])).
% 5.01/3.90 tff(14017,plain,
% 5.01/3.90 (~m_main_v_state2(s173, c_c2)),
% 5.01/3.90 inference(unit_resolution,[status(thm)],[14016, 697, 14013])).
% 5.01/3.90 tff(14018,plain,
% 5.01/3.90 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s173, c_c2) | (~node3(s173)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s173, c_c2) | (~node3(s173)))),
% 5.01/3.90 inference(rewrite,[status(thm)],[])).
% 5.01/3.90 tff(14019,plain,
% 5.01/3.90 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s173, c_c2) | (~node3(s173)))),
% 5.01/3.90 inference(quant_inst,[status(thm)],[])).
% 5.01/3.90 tff(14020,plain,
% 5.01/3.90 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s173, c_c2) | (~node3(s173))),
% 5.01/3.90 inference(modus_ponens,[status(thm)],[14019, 14018])).
% 5.01/3.90 tff(14021,plain,
% 5.01/3.90 (~node3(s173)),
% 5.01/3.90 inference(unit_resolution,[status(thm)],[14020, 399, 14017])).
% 5.01/3.90 tff(14022,plain,
% 5.01/3.90 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s172, c_n1) | (~node1(s172)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s172, c_n1) | (~node1(s172)))),
% 5.01/3.90 inference(rewrite,[status(thm)],[])).
% 5.01/3.90 tff(14023,plain,
% 5.01/3.90 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s172, c_n1) | (~node1(s172)))),
% 5.01/3.90 inference(quant_inst,[status(thm)],[])).
% 5.01/3.90 tff(14024,plain,
% 5.01/3.90 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s172, c_n1) | (~node1(s172))),
% 5.01/3.90 inference(modus_ponens,[status(thm)],[14023, 14022])).
% 5.01/3.90 tff(14025,plain,
% 5.01/3.90 (~node1(s172)),
% 5.01/3.90 inference(unit_resolution,[status(thm)],[14024, 421, 13970])).
% 5.01/3.90 tff(14026,plain,
% 5.01/3.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s171, s172)) | node18(s171, s172))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s171, s172)) | node18(s171, s172))),
% 5.01/3.90 inference(rewrite,[status(thm)],[])).
% 5.01/3.90 tff(14027,plain,
% 5.01/3.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s171, s172)) | node18(s171, s172))),
% 5.01/3.90 inference(quant_inst,[status(thm)],[])).
% 5.01/3.90 tff(14028,plain,
% 5.01/3.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s171, s172)) | node18(s171, s172)),
% 5.01/3.90 inference(modus_ponens,[status(thm)],[14027, 14026])).
% 5.01/3.90 tff(14029,plain,
% 5.01/3.90 (node18(s171, s172)),
% 5.01/3.90 inference(unit_resolution,[status(thm)],[14028, 125, 13940])).
% 5.01/3.90 tff(14030,plain,
% 5.01/3.90 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s171, c_n1)) | (~m_main_v_state2(s171, c_t2)) | (~node18(s171, s172)) | m_main_v_turn(s172, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s171, c_n1)) | (~m_main_v_state2(s171, c_t2)) | (~node18(s171, s172)) | m_main_v_turn(s172, c_2))),
% 5.01/3.90 inference(rewrite,[status(thm)],[])).
% 5.01/3.90 tff(14031,plain,
% 5.01/3.90 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s171, c_n1)) | (~m_main_v_state2(s171, c_t2)) | (~node18(s171, s172)) | m_main_v_turn(s172, c_2))),
% 5.01/3.90 inference(quant_inst,[status(thm)],[])).
% 5.01/3.90 tff(14032,plain,
% 5.01/3.90 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s171, c_n1)) | (~m_main_v_state2(s171, c_t2)) | (~node18(s171, s172)) | m_main_v_turn(s172, c_2)),
% 5.01/3.90 inference(modus_ponens,[status(thm)],[14031, 14030])).
% 5.01/3.90 tff(14033,plain,
% 5.01/3.90 ((~m_main_v_state1(s171, c_n1)) | (~m_main_v_state2(s171, c_t2)) | m_main_v_turn(s172, c_2)),
% 5.01/3.90 inference(unit_resolution,[status(thm)],[14032, 760, 14029])).
% 5.01/3.90 tff(14034,plain,
% 5.01/3.90 (m_main_v_turn(s172, c_2)),
% 5.01/3.90 inference(unit_resolution,[status(thm)],[14033, 13893, 13929])).
% 5.01/3.90 tff(14035,plain,
% 5.01/3.90 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s172, c_1)) | (~m_main_v_turn(s172, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s172, c_1)) | (~m_main_v_turn(s172, c_2)))),
% 5.01/3.90 inference(rewrite,[status(thm)],[])).
% 5.01/3.90 tff(14036,plain,
% 5.01/3.90 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s172, c_1)) | (~m_main_v_turn(s172, c_2)))),
% 5.01/3.90 inference(quant_inst,[status(thm)],[])).
% 5.01/3.90 tff(14037,plain,
% 5.01/3.90 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s172, c_1)) | (~m_main_v_turn(s172, c_2))),
% 5.01/3.90 inference(modus_ponens,[status(thm)],[14036, 14035])).
% 5.01/3.90 tff(14038,plain,
% 5.01/3.90 (~m_main_v_turn(s172, c_1)),
% 5.01/3.90 inference(unit_resolution,[status(thm)],[14037, 156, 14034])).
% 5.01/3.90 tff(14039,plain,
% 5.01/3.90 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s172, c_1) | (~node5(s172)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s172, c_1) | (~node5(s172)))),
% 5.01/3.90 inference(rewrite,[status(thm)],[])).
% 5.01/3.90 tff(14040,plain,
% 5.01/3.90 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s172, c_1) | (~node5(s172)))),
% 5.01/3.90 inference(quant_inst,[status(thm)],[])).
% 5.01/3.90 tff(14041,plain,
% 5.01/3.90 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s172, c_1) | (~node5(s172))),
% 5.01/3.90 inference(modus_ponens,[status(thm)],[14040, 14039])).
% 5.01/3.90 tff(14042,plain,
% 5.01/3.90 (~node5(s172)),
% 5.01/3.90 inference(unit_resolution,[status(thm)],[14041, 776, 14038])).
% 5.01/3.90 tff(14043,plain,
% 5.01/3.90 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s172, c_n1) | (~node2(s172)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s172, c_n1) | (~node2(s172)))),
% 5.01/3.90 inference(rewrite,[status(thm)],[])).
% 5.01/3.90 tff(14044,plain,
% 5.01/3.90 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s172, c_n1) | (~node2(s172)))),
% 5.01/3.90 inference(quant_inst,[status(thm)],[])).
% 5.01/3.91 tff(14045,plain,
% 5.01/3.91 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s172, c_n1) | (~node2(s172))),
% 5.01/3.91 inference(modus_ponens,[status(thm)],[14044, 14043])).
% 5.01/3.91 tff(14046,plain,
% 5.01/3.91 (~node2(s172)),
% 5.01/3.91 inference(unit_resolution,[status(thm)],[14045, 787, 13970])).
% 5.01/3.91 tff(14047,plain,
% 5.01/3.91 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s172, c_n1) | (~node3(s172)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s172, c_n1) | (~node3(s172)))),
% 5.01/3.91 inference(rewrite,[status(thm)],[])).
% 5.01/3.91 tff(14048,plain,
% 5.01/3.91 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s172, c_n1) | (~node3(s172)))),
% 5.01/3.91 inference(quant_inst,[status(thm)],[])).
% 5.01/3.91 tff(14049,plain,
% 5.01/3.91 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s172, c_n1) | (~node3(s172))),
% 5.01/3.91 inference(modus_ponens,[status(thm)],[14048, 14047])).
% 5.01/3.91 tff(14050,plain,
% 5.01/3.91 (~node3(s172)),
% 5.01/3.91 inference(unit_resolution,[status(thm)],[14049, 798, 13970])).
% 5.01/3.91 tff(14051,plain,
% 5.01/3.91 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s172, c_n2) | (~node4(s172)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s172, c_n2) | (~node4(s172)))),
% 5.01/3.91 inference(rewrite,[status(thm)],[])).
% 5.01/3.91 tff(14052,plain,
% 5.01/3.91 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s172, c_n2) | (~node4(s172)))),
% 5.01/3.91 inference(quant_inst,[status(thm)],[])).
% 5.01/3.91 tff(14053,plain,
% 5.01/3.91 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s172, c_n2) | (~node4(s172))),
% 5.01/3.91 inference(modus_ponens,[status(thm)],[14052, 14051])).
% 5.01/3.91 tff(14054,plain,
% 5.01/3.91 (~node4(s172)),
% 5.01/3.91 inference(unit_resolution,[status(thm)],[14053, 388, 13990])).
% 5.01/3.91 tff(14055,plain,
% 5.01/3.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s172, s173)) | node7(s172, s173))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s172, s173)) | node7(s172, s173))),
% 5.01/3.91 inference(rewrite,[status(thm)],[])).
% 5.01/3.91 tff(14056,plain,
% 5.01/3.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s172, s173)) | node7(s172, s173))),
% 5.01/3.91 inference(quant_inst,[status(thm)],[])).
% 5.01/3.91 tff(14057,plain,
% 5.01/3.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s172, s173)) | node7(s172, s173)),
% 5.01/3.91 inference(modus_ponens,[status(thm)],[14056, 14055])).
% 5.01/3.91 tff(14058,plain,
% 5.01/3.91 (node7(s172, s173)),
% 5.01/3.91 inference(unit_resolution,[status(thm)],[14057, 206, 14001])).
% 5.01/3.91 tff(14059,plain,
% 5.01/3.91 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s172, c_c1) | node1(s172) | node2(s172) | node3(s172) | node4(s172) | node5(s172) | node6(s172, s173) | (~node7(s172, s173)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s172, c_c1) | node1(s172) | node2(s172) | node3(s172) | node4(s172) | node5(s172) | node6(s172, s173) | (~node7(s172, s173)))),
% 5.01/3.91 inference(rewrite,[status(thm)],[])).
% 5.01/3.91 tff(14060,plain,
% 5.01/3.91 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s172, c_c1) | node1(s172) | node2(s172) | node3(s172) | node4(s172) | node5(s172) | node6(s172, s173) | (~node7(s172, s173)))),
% 5.01/3.91 inference(quant_inst,[status(thm)],[])).
% 5.01/3.91 tff(14061,plain,
% 5.01/3.91 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s172, c_c1) | node1(s172) | node2(s172) | node3(s172) | node4(s172) | node5(s172) | node6(s172, s173) | (~node7(s172, s173))),
% 5.01/3.91 inference(modus_ponens,[status(thm)],[14060, 14059])).
% 5.01/3.91 tff(14062,plain,
% 5.01/3.91 (m_main_v_state1(s172, c_c1) | node1(s172) | node2(s172) | node3(s172) | node4(s172) | node5(s172) | node6(s172, s173)),
% 5.01/3.91 inference(unit_resolution,[status(thm)],[14061, 820, 14058])).
% 5.01/3.91 tff(14063,plain,
% 5.01/3.91 (node6(s172, s173)),
% 5.01/3.91 inference(unit_resolution,[status(thm)],[14062, 14054, 13978, 14050, 14046, 14042, 14025])).
% 5.01/3.91 tff(14064,plain,
% 5.01/3.91 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s172, c_n1) | (~m_main_v_state1(s173, c_n1)) | (~node6(s172, s173)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s172, c_n1) | (~m_main_v_state1(s173, c_n1)) | (~node6(s172, s173)))),
% 5.01/3.91 inference(rewrite,[status(thm)],[])).
% 5.01/3.91 tff(14065,plain,
% 5.01/3.91 (((~node6(s172, s173)) | m_main_v_state1(s172, c_n1) | (~m_main_v_state1(s173, c_n1))) <=> (m_main_v_state1(s172, c_n1) | (~m_main_v_state1(s173, c_n1)) | (~node6(s172, s173)))),
% 5.01/3.91 inference(rewrite,[status(thm)],[])).
% 5.01/3.91 tff(14066,plain,
% 5.01/3.91 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s172, s173)) | m_main_v_state1(s172, c_n1) | (~m_main_v_state1(s173, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s172, c_n1) | (~m_main_v_state1(s173, c_n1)) | (~node6(s172, s173))))),
% 5.01/3.91 inference(monotonicity,[status(thm)],[14065])).
% 5.01/3.91 tff(14067,plain,
% 5.01/3.91 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s172, s173)) | m_main_v_state1(s172, c_n1) | (~m_main_v_state1(s173, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s172, c_n1) | (~m_main_v_state1(s173, c_n1)) | (~node6(s172, s173)))),
% 5.01/3.91 inference(transitivity,[status(thm)],[14066, 14064])).
% 5.01/3.91 tff(14068,plain,
% 5.01/3.91 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s172, s173)) | m_main_v_state1(s172, c_n1) | (~m_main_v_state1(s173, c_n1)))),
% 5.01/3.91 inference(quant_inst,[status(thm)],[])).
% 5.01/3.91 tff(14069,plain,
% 5.01/3.91 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s172, c_n1) | (~m_main_v_state1(s173, c_n1)) | (~node6(s172, s173))),
% 5.01/3.91 inference(modus_ponens,[status(thm)],[14068, 14067])).
% 5.01/3.91 tff(14070,plain,
% 5.01/3.91 (~m_main_v_state1(s173, c_n1)),
% 5.01/3.91 inference(unit_resolution,[status(thm)],[14069, 835, 13970, 14063])).
% 5.01/3.91 tff(14071,plain,
% 5.01/3.91 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s173, c_n1) | (~node2(s173)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s173, c_n1) | (~node2(s173)))),
% 5.01/3.91 inference(rewrite,[status(thm)],[])).
% 5.01/3.91 tff(14072,plain,
% 5.01/3.91 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s173, c_n1) | (~node2(s173)))),
% 5.01/3.91 inference(quant_inst,[status(thm)],[])).
% 5.01/3.91 tff(14073,plain,
% 5.01/3.91 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s173, c_n1) | (~node2(s173))),
% 5.01/3.91 inference(modus_ponens,[status(thm)],[14072, 14071])).
% 5.01/3.91 tff(14074,plain,
% 5.01/3.91 (~node2(s173)),
% 5.01/3.91 inference(unit_resolution,[status(thm)],[14073, 787, 14070])).
% 5.01/3.91 tff(14075,plain,
% 5.01/3.91 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s172, c_t1)) | m_main_v_state1(s173, c_t1) | (~node6(s172, s173)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s172, c_t1)) | m_main_v_state1(s173, c_t1) | (~node6(s172, s173)))),
% 5.01/3.91 inference(rewrite,[status(thm)],[])).
% 5.01/3.91 tff(14076,plain,
% 5.01/3.91 (((~node6(s172, s173)) | (~m_main_v_state1(s172, c_t1)) | m_main_v_state1(s173, c_t1)) <=> ((~m_main_v_state1(s172, c_t1)) | m_main_v_state1(s173, c_t1) | (~node6(s172, s173)))),
% 5.01/3.91 inference(rewrite,[status(thm)],[])).
% 5.01/3.91 tff(14077,plain,
% 5.01/3.91 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s172, s173)) | (~m_main_v_state1(s172, c_t1)) | m_main_v_state1(s173, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s172, c_t1)) | m_main_v_state1(s173, c_t1) | (~node6(s172, s173))))),
% 5.01/3.91 inference(monotonicity,[status(thm)],[14076])).
% 5.01/3.91 tff(14078,plain,
% 5.01/3.91 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s172, s173)) | (~m_main_v_state1(s172, c_t1)) | m_main_v_state1(s173, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s172, c_t1)) | m_main_v_state1(s173, c_t1) | (~node6(s172, s173)))),
% 5.01/3.91 inference(transitivity,[status(thm)],[14077, 14075])).
% 5.01/3.91 tff(14079,plain,
% 5.01/3.91 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s172, s173)) | (~m_main_v_state1(s172, c_t1)) | m_main_v_state1(s173, c_t1))),
% 5.01/3.91 inference(quant_inst,[status(thm)],[])).
% 5.01/3.91 tff(14080,plain,
% 5.01/3.91 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s172, c_t1)) | m_main_v_state1(s173, c_t1) | (~node6(s172, s173))),
% 5.01/3.91 inference(modus_ponens,[status(thm)],[14079, 14078])).
% 5.01/3.91 tff(14081,plain,
% 5.01/3.91 (m_main_v_state1(s173, c_t1)),
% 5.01/3.91 inference(unit_resolution,[status(thm)],[14080, 856, 13966, 14063])).
% 5.01/3.91 tff(14082,plain,
% 5.01/3.91 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s173, c_n2)) | (~m_main_v_state2(s173, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s173, c_n2)) | (~m_main_v_state2(s173, c_t2)))),
% 5.01/3.91 inference(rewrite,[status(thm)],[])).
% 5.01/3.91 tff(14083,plain,
% 5.01/3.91 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s173, c_n2)) | (~m_main_v_state2(s173, c_t2)))),
% 5.01/3.91 inference(quant_inst,[status(thm)],[])).
% 5.01/3.91 tff(14084,plain,
% 5.01/3.91 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s173, c_n2)) | (~m_main_v_state2(s173, c_t2))),
% 5.01/3.91 inference(modus_ponens,[status(thm)],[14083, 14082])).
% 5.01/3.91 tff(14085,plain,
% 5.01/3.91 (~m_main_v_state2(s173, c_t2)),
% 5.01/3.91 inference(unit_resolution,[status(thm)],[14084, 77, 14013])).
% 5.01/3.91 tff(14086,plain,
% 5.01/3.91 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s173, c_t2) | (~node1(s173)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s173, c_t2) | (~node1(s173)))),
% 5.01/3.91 inference(rewrite,[status(thm)],[])).
% 5.01/3.91 tff(14087,plain,
% 5.01/3.91 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s173, c_t2) | (~node1(s173)))),
% 5.01/3.91 inference(quant_inst,[status(thm)],[])).
% 5.01/3.91 tff(14088,plain,
% 5.01/3.91 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s173, c_t2) | (~node1(s173))),
% 5.01/3.91 inference(modus_ponens,[status(thm)],[14087, 14086])).
% 5.01/3.91 tff(14089,plain,
% 5.01/3.91 (~node1(s173)),
% 5.01/3.91 inference(unit_resolution,[status(thm)],[14088, 195, 14085])).
% 5.01/3.91 tff(14090,plain,
% 5.01/3.91 (succ(s173, s174) <=> succ(s173, s174)),
% 5.01/3.91 inference(rewrite,[status(thm)],[])).
% 5.01/3.91 tff(14091,axiom,(succ(s173, s174)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound174')).
% 5.01/3.91 tff(14092,plain,
% 5.01/3.91 (succ(s173, s174)),
% 5.01/3.91 inference(modus_ponens,[status(thm)],[14091, 14090])).
% 5.01/3.91 tff(14093,plain,
% 5.01/3.91 (((~![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))),
% 5.01/3.91 inference(rewrite,[status(thm)],[])).
% 5.01/3.91 tff(14094,plain,
% 5.01/3.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s173, s174)) | trans(s173, s174))),
% 5.01/3.91 inference(quant_inst,[status(thm)],[])).
% 5.01/3.91 tff(14095,plain,
% 5.01/3.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s173, s174)) | trans(s173, s174)),
% 5.01/3.91 inference(modus_ponens,[status(thm)],[14094, 14093])).
% 5.01/3.91 tff(14096,plain,
% 5.01/3.91 (trans(s173, s174)),
% 5.01/3.91 inference(unit_resolution,[status(thm)],[14095, 14092, 32])).
% 5.01/3.91 tff(14097,plain,
% 5.01/3.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s173, s174)) | node7(s173, s174))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s173, s174)) | node7(s173, s174))),
% 5.01/3.91 inference(rewrite,[status(thm)],[])).
% 5.01/3.91 tff(14098,plain,
% 5.01/3.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s173, s174)) | node7(s173, s174))),
% 5.01/3.91 inference(quant_inst,[status(thm)],[])).
% 5.01/3.91 tff(14099,plain,
% 5.01/3.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s173, s174)) | node7(s173, s174)),
% 5.01/3.91 inference(modus_ponens,[status(thm)],[14098, 14097])).
% 5.01/3.91 tff(14100,plain,
% 5.01/3.91 (node7(s173, s174)),
% 5.01/3.91 inference(unit_resolution,[status(thm)],[14099, 206, 14096])).
% 5.01/3.91 tff(14101,plain,
% 5.01/3.91 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s173, c_t1)) | (~m_main_v_state2(s173, c_n2)) | m_main_v_state1(s174, c_c1) | node1(s173) | node2(s173) | node3(s173) | (~node7(s173, s174)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s173, c_t1)) | (~m_main_v_state2(s173, c_n2)) | m_main_v_state1(s174, c_c1) | node1(s173) | node2(s173) | node3(s173) | (~node7(s173, s174)))),
% 5.01/3.91 inference(rewrite,[status(thm)],[])).
% 5.01/3.91 tff(14102,plain,
% 5.01/3.91 (((~m_main_v_state1(s173, c_t1)) | (~m_main_v_state2(s173, c_n2)) | node1(s173) | node2(s173) | node3(s173) | (~node7(s173, s174)) | m_main_v_state1(s174, c_c1)) <=> ((~m_main_v_state1(s173, c_t1)) | (~m_main_v_state2(s173, c_n2)) | m_main_v_state1(s174, c_c1) | node1(s173) | node2(s173) | node3(s173) | (~node7(s173, s174)))),
% 5.01/3.91 inference(rewrite,[status(thm)],[])).
% 5.01/3.91 tff(14103,plain,
% 5.01/3.91 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s173, c_t1)) | (~m_main_v_state2(s173, c_n2)) | node1(s173) | node2(s173) | node3(s173) | (~node7(s173, s174)) | m_main_v_state1(s174, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s173, c_t1)) | (~m_main_v_state2(s173, c_n2)) | m_main_v_state1(s174, c_c1) | node1(s173) | node2(s173) | node3(s173) | (~node7(s173, s174))))),
% 5.01/3.91 inference(monotonicity,[status(thm)],[14102])).
% 5.01/3.91 tff(14104,plain,
% 5.01/3.91 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s173, c_t1)) | (~m_main_v_state2(s173, c_n2)) | node1(s173) | node2(s173) | node3(s173) | (~node7(s173, s174)) | m_main_v_state1(s174, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s173, c_t1)) | (~m_main_v_state2(s173, c_n2)) | m_main_v_state1(s174, c_c1) | node1(s173) | node2(s173) | node3(s173) | (~node7(s173, s174)))),
% 5.01/3.91 inference(transitivity,[status(thm)],[14103, 14101])).
% 5.01/3.91 tff(14105,plain,
% 5.01/3.91 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s173, c_t1)) | (~m_main_v_state2(s173, c_n2)) | node1(s173) | node2(s173) | node3(s173) | (~node7(s173, s174)) | m_main_v_state1(s174, c_c1))),
% 5.01/3.91 inference(quant_inst,[status(thm)],[])).
% 5.01/3.91 tff(14106,plain,
% 5.01/3.91 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s173, c_t1)) | (~m_main_v_state2(s173, c_n2)) | m_main_v_state1(s174, c_c1) | node1(s173) | node2(s173) | node3(s173) | (~node7(s173, s174))),
% 5.01/3.91 inference(modus_ponens,[status(thm)],[14105, 14104])).
% 5.01/3.91 tff(14107,plain,
% 5.01/3.91 ((~m_main_v_state1(s173, c_t1)) | (~m_main_v_state2(s173, c_n2)) | m_main_v_state1(s174, c_c1) | node1(s173) | node2(s173) | node3(s173)),
% 5.01/3.91 inference(unit_resolution,[status(thm)],[14106, 892, 14100])).
% 5.01/3.91 tff(14108,plain,
% 5.01/3.91 (m_main_v_state1(s174, c_c1)),
% 5.01/3.91 inference(unit_resolution,[status(thm)],[14107, 14089, 14013, 14081, 14074, 14021])).
% 5.01/3.91 tff(14109,plain,
% 5.01/3.91 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s174, c_t1)) | (~m_main_v_state1(s174, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s174, c_t1)) | (~m_main_v_state1(s174, c_c1)))),
% 5.01/3.91 inference(rewrite,[status(thm)],[])).
% 5.01/3.91 tff(14110,plain,
% 5.01/3.91 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s174, c_t1)) | (~m_main_v_state1(s174, c_c1)))),
% 5.01/3.91 inference(quant_inst,[status(thm)],[])).
% 5.01/3.91 tff(14111,plain,
% 5.01/3.91 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s174, c_t1)) | (~m_main_v_state1(s174, c_c1))),
% 5.01/3.91 inference(modus_ponens,[status(thm)],[14110, 14109])).
% 5.01/3.91 tff(14112,plain,
% 5.01/3.91 (~m_main_v_state1(s174, c_t1)),
% 5.01/3.91 inference(unit_resolution,[status(thm)],[14111, 539, 14108])).
% 5.01/3.91 tff(14113,plain,
% 5.01/3.91 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s174, c_t1) | (~node5(s174)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s174, c_t1) | (~node5(s174)))),
% 5.01/3.91 inference(rewrite,[status(thm)],[])).
% 5.01/3.91 tff(14114,plain,
% 5.01/3.91 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s174, c_t1) | (~node5(s174)))),
% 5.01/3.91 inference(quant_inst,[status(thm)],[])).
% 5.01/3.91 tff(14115,plain,
% 5.01/3.91 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s174, c_t1) | (~node5(s174))),
% 5.01/3.91 inference(modus_ponens,[status(thm)],[14114, 14113])).
% 5.01/3.91 tff(14116,plain,
% 5.01/3.91 (~node5(s174)),
% 5.01/3.91 inference(unit_resolution,[status(thm)],[14115, 550, 14112])).
% 5.01/3.91 tff(14117,plain,
% 5.01/3.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s173, s174)) | node14(s173, s174))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s173, s174)) | node14(s173, s174))),
% 5.01/3.91 inference(rewrite,[status(thm)],[])).
% 5.01/3.91 tff(14118,plain,
% 5.01/3.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s173, s174)) | node14(s173, s174))),
% 5.01/3.91 inference(quant_inst,[status(thm)],[])).
% 5.01/3.91 tff(14119,plain,
% 5.01/3.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s173, s174)) | node14(s173, s174)),
% 5.01/3.91 inference(modus_ponens,[status(thm)],[14118, 14117])).
% 5.01/3.91 tff(14120,plain,
% 5.01/3.91 (node14(s173, s174)),
% 5.01/3.91 inference(unit_resolution,[status(thm)],[14119, 46, 14096])).
% 5.01/3.91 tff(14121,plain,
% 5.01/3.91 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s173, c_t1)) | (~m_main_v_state2(s173, c_n2)) | (~node14(s173, s174)) | m_main_v_state2(s174, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s173, c_t1)) | (~m_main_v_state2(s173, c_n2)) | (~node14(s173, s174)) | m_main_v_state2(s174, c_t2))),
% 5.01/3.91 inference(rewrite,[status(thm)],[])).
% 5.01/3.91 tff(14122,plain,
% 5.01/3.91 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s173, c_t1)) | (~m_main_v_state2(s173, c_n2)) | (~node14(s173, s174)) | m_main_v_state2(s174, c_t2))),
% 5.01/3.91 inference(quant_inst,[status(thm)],[])).
% 5.01/3.91 tff(14123,plain,
% 5.01/3.91 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s173, c_t1)) | (~m_main_v_state2(s173, c_n2)) | (~node14(s173, s174)) | m_main_v_state2(s174, c_t2)),
% 5.01/3.91 inference(modus_ponens,[status(thm)],[14122, 14121])).
% 5.01/3.91 tff(14124,plain,
% 5.01/3.91 ((~m_main_v_state1(s173, c_t1)) | (~m_main_v_state2(s173, c_n2)) | m_main_v_state2(s174, c_t2)),
% 5.01/3.91 inference(unit_resolution,[status(thm)],[14123, 922, 14120])).
% 5.01/3.91 tff(14125,plain,
% 5.01/3.91 (m_main_v_state2(s174, c_t2)),
% 5.01/3.91 inference(unit_resolution,[status(thm)],[14124, 14081, 14013])).
% 5.01/3.91 tff(14126,plain,
% 5.01/3.91 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s174, c_n2)) | (~m_main_v_state2(s174, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s174, c_n2)) | (~m_main_v_state2(s174, c_t2)))),
% 5.01/3.91 inference(rewrite,[status(thm)],[])).
% 5.01/3.91 tff(14127,plain,
% 5.01/3.91 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s174, c_n2)) | (~m_main_v_state2(s174, c_t2)))),
% 5.01/3.91 inference(quant_inst,[status(thm)],[])).
% 5.01/3.91 tff(14128,plain,
% 5.01/3.91 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s174, c_n2)) | (~m_main_v_state2(s174, c_t2))),
% 5.01/3.91 inference(modus_ponens,[status(thm)],[14127, 14126])).
% 5.01/3.91 tff(14129,plain,
% 5.01/3.91 (~m_main_v_state2(s174, c_n2)),
% 5.01/3.91 inference(unit_resolution,[status(thm)],[14128, 77, 14125])).
% 5.01/3.91 tff(14130,plain,
% 5.01/3.91 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s174, c_n2) | (~node4(s174)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s174, c_n2) | (~node4(s174)))),
% 5.01/3.91 inference(rewrite,[status(thm)],[])).
% 5.01/3.91 tff(14131,plain,
% 5.01/3.91 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s174, c_n2) | (~node4(s174)))),
% 5.01/3.91 inference(quant_inst,[status(thm)],[])).
% 5.01/3.91 tff(14132,plain,
% 5.01/3.91 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s174, c_n2) | (~node4(s174))),
% 5.01/3.91 inference(modus_ponens,[status(thm)],[14131, 14130])).
% 5.01/3.91 tff(14133,plain,
% 5.01/3.91 (~node4(s174)),
% 5.01/3.91 inference(unit_resolution,[status(thm)],[14132, 388, 14129])).
% 5.01/3.91 tff(14134,plain,
% 5.01/3.91 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s174, c_t2)) | (~m_main_v_state2(s174, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s174, c_t2)) | (~m_main_v_state2(s174, c_c2)))),
% 5.01/3.91 inference(rewrite,[status(thm)],[])).
% 5.01/3.91 tff(14135,plain,
% 5.01/3.91 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s174, c_t2)) | (~m_main_v_state2(s174, c_c2)))),
% 5.01/3.91 inference(quant_inst,[status(thm)],[])).
% 5.01/3.91 tff(14136,plain,
% 5.01/3.91 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s174, c_t2)) | (~m_main_v_state2(s174, c_c2))),
% 5.01/3.91 inference(modus_ponens,[status(thm)],[14135, 14134])).
% 5.01/3.91 tff(14137,plain,
% 5.01/3.91 (~m_main_v_state2(s174, c_c2)),
% 5.01/3.91 inference(unit_resolution,[status(thm)],[14136, 260, 14125])).
% 5.01/3.91 tff(14138,plain,
% 5.01/3.91 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s174, c_c2) | (~node3(s174)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s174, c_c2) | (~node3(s174)))),
% 5.01/3.91 inference(rewrite,[status(thm)],[])).
% 5.01/3.91 tff(14139,plain,
% 5.01/3.91 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s174, c_c2) | (~node3(s174)))),
% 5.01/3.91 inference(quant_inst,[status(thm)],[])).
% 5.01/3.91 tff(14140,plain,
% 5.01/3.91 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s174, c_c2) | (~node3(s174))),
% 5.01/3.91 inference(modus_ponens,[status(thm)],[14139, 14138])).
% 5.01/3.91 tff(14141,plain,
% 5.01/3.91 (~node3(s174)),
% 5.01/3.91 inference(unit_resolution,[status(thm)],[14140, 399, 14137])).
% 5.01/3.91 tff(14142,plain,
% 5.01/3.91 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s174, c_n2) | (~node2(s174)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s174, c_n2) | (~node2(s174)))),
% 5.01/3.91 inference(rewrite,[status(thm)],[])).
% 5.01/3.91 tff(14143,plain,
% 5.01/3.91 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s174, c_n2) | (~node2(s174)))),
% 5.01/3.91 inference(quant_inst,[status(thm)],[])).
% 5.01/3.91 tff(14144,plain,
% 5.01/3.91 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s174, c_n2) | (~node2(s174))),
% 5.01/3.91 inference(modus_ponens,[status(thm)],[14143, 14142])).
% 5.01/3.91 tff(14145,plain,
% 5.01/3.91 (~node2(s174)),
% 5.01/3.91 inference(unit_resolution,[status(thm)],[14144, 410, 14129])).
% 5.01/3.91 tff(14146,plain,
% 5.01/3.91 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s174, c_n1)) | (~m_main_v_state1(s174, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s174, c_n1)) | (~m_main_v_state1(s174, c_c1)))),
% 5.01/3.91 inference(rewrite,[status(thm)],[])).
% 5.01/3.91 tff(14147,plain,
% 5.01/3.91 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s174, c_n1)) | (~m_main_v_state1(s174, c_c1)))),
% 5.01/3.91 inference(quant_inst,[status(thm)],[])).
% 5.01/3.91 tff(14148,plain,
% 5.01/3.91 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s174, c_n1)) | (~m_main_v_state1(s174, c_c1))),
% 5.01/3.91 inference(modus_ponens,[status(thm)],[14147, 14146])).
% 5.01/3.91 tff(14149,plain,
% 5.01/3.91 (~m_main_v_state1(s174, c_n1)),
% 5.01/3.91 inference(unit_resolution,[status(thm)],[14148, 454, 14108])).
% 5.01/3.91 tff(14150,plain,
% 5.01/3.91 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s174, c_n1) | (~node1(s174)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s174, c_n1) | (~node1(s174)))),
% 5.01/3.91 inference(rewrite,[status(thm)],[])).
% 5.01/3.91 tff(14151,plain,
% 5.01/3.91 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s174, c_n1) | (~node1(s174)))),
% 5.01/3.91 inference(quant_inst,[status(thm)],[])).
% 5.01/3.91 tff(14152,plain,
% 5.01/3.91 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s174, c_n1) | (~node1(s174))),
% 5.01/3.91 inference(modus_ponens,[status(thm)],[14151, 14150])).
% 5.01/3.91 tff(14153,plain,
% 5.01/3.91 (~node1(s174)),
% 5.01/3.91 inference(unit_resolution,[status(thm)],[14152, 421, 14149])).
% 5.01/3.91 tff(14154,plain,
% 5.01/3.91 (succ(s174, s175) <=> succ(s174, s175)),
% 5.01/3.91 inference(rewrite,[status(thm)],[])).
% 5.01/3.91 tff(14155,axiom,(succ(s174, s175)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound175')).
% 5.01/3.91 tff(14156,plain,
% 5.01/3.91 (succ(s174, s175)),
% 5.01/3.91 inference(modus_ponens,[status(thm)],[14155, 14154])).
% 5.01/3.91 tff(14157,plain,
% 5.01/3.91 (((~![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))),
% 5.01/3.91 inference(rewrite,[status(thm)],[])).
% 5.01/3.91 tff(14158,plain,
% 5.01/3.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s174, s175)) | trans(s174, s175))),
% 5.01/3.91 inference(quant_inst,[status(thm)],[])).
% 5.01/3.91 tff(14159,plain,
% 5.01/3.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s174, s175)) | trans(s174, s175)),
% 5.01/3.91 inference(modus_ponens,[status(thm)],[14158, 14157])).
% 5.01/3.91 tff(14160,plain,
% 5.01/3.91 (trans(s174, s175)),
% 5.01/3.91 inference(unit_resolution,[status(thm)],[14159, 14156, 32])).
% 5.01/3.91 tff(14161,plain,
% 5.01/3.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s174, s175)) | node7(s174, s175))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s174, s175)) | node7(s174, s175))),
% 5.01/3.91 inference(rewrite,[status(thm)],[])).
% 5.01/3.91 tff(14162,plain,
% 5.01/3.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s174, s175)) | node7(s174, s175))),
% 5.01/3.91 inference(quant_inst,[status(thm)],[])).
% 5.01/3.91 tff(14163,plain,
% 5.01/3.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s174, s175)) | node7(s174, s175)),
% 5.01/3.91 inference(modus_ponens,[status(thm)],[14162, 14161])).
% 5.01/3.91 tff(14164,plain,
% 5.01/3.91 (node7(s174, s175)),
% 5.01/3.91 inference(unit_resolution,[status(thm)],[14163, 206, 14160])).
% 5.01/3.91 tff(14165,plain,
% 5.01/3.91 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s175, c_n1) | (~m_main_v_state1(s174, c_c1)) | node1(s174) | node2(s174) | node3(s174) | node4(s174) | node5(s174) | (~node7(s174, s175)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s175, c_n1) | (~m_main_v_state1(s174, c_c1)) | node1(s174) | node2(s174) | node3(s174) | node4(s174) | node5(s174) | (~node7(s174, s175)))),
% 5.01/3.91 inference(rewrite,[status(thm)],[])).
% 5.01/3.91 tff(14166,plain,
% 5.01/3.91 (((~m_main_v_state1(s174, c_c1)) | node1(s174) | node2(s174) | node3(s174) | node4(s174) | node5(s174) | (~node7(s174, s175)) | m_main_v_state1(s175, c_n1)) <=> (m_main_v_state1(s175, c_n1) | (~m_main_v_state1(s174, c_c1)) | node1(s174) | node2(s174) | node3(s174) | node4(s174) | node5(s174) | (~node7(s174, s175)))),
% 5.01/3.92 inference(rewrite,[status(thm)],[])).
% 5.01/3.92 tff(14167,plain,
% 5.01/3.92 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s174, c_c1)) | node1(s174) | node2(s174) | node3(s174) | node4(s174) | node5(s174) | (~node7(s174, s175)) | m_main_v_state1(s175, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s175, c_n1) | (~m_main_v_state1(s174, c_c1)) | node1(s174) | node2(s174) | node3(s174) | node4(s174) | node5(s174) | (~node7(s174, s175))))),
% 5.01/3.92 inference(monotonicity,[status(thm)],[14166])).
% 5.01/3.92 tff(14168,plain,
% 5.01/3.92 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s174, c_c1)) | node1(s174) | node2(s174) | node3(s174) | node4(s174) | node5(s174) | (~node7(s174, s175)) | m_main_v_state1(s175, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s175, c_n1) | (~m_main_v_state1(s174, c_c1)) | node1(s174) | node2(s174) | node3(s174) | node4(s174) | node5(s174) | (~node7(s174, s175)))),
% 5.01/3.92 inference(transitivity,[status(thm)],[14167, 14165])).
% 5.01/3.92 tff(14169,plain,
% 5.01/3.92 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s174, c_c1)) | node1(s174) | node2(s174) | node3(s174) | node4(s174) | node5(s174) | (~node7(s174, s175)) | m_main_v_state1(s175, c_n1))),
% 5.01/3.92 inference(quant_inst,[status(thm)],[])).
% 5.01/3.92 tff(14170,plain,
% 5.01/3.92 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s175, c_n1) | (~m_main_v_state1(s174, c_c1)) | node1(s174) | node2(s174) | node3(s174) | node4(s174) | node5(s174) | (~node7(s174, s175))),
% 5.01/3.92 inference(modus_ponens,[status(thm)],[14169, 14168])).
% 5.01/3.92 tff(14171,plain,
% 5.01/3.92 (m_main_v_state1(s175, c_n1) | (~m_main_v_state1(s174, c_c1)) | node1(s174) | node2(s174) | node3(s174) | node4(s174) | node5(s174)),
% 5.01/3.92 inference(unit_resolution,[status(thm)],[14170, 584, 14164])).
% 5.01/3.92 tff(14172,plain,
% 5.01/3.92 (m_main_v_state1(s175, c_n1)),
% 5.01/3.92 inference(unit_resolution,[status(thm)],[14171, 14153, 14108, 14145, 14141, 14133, 14116])).
% 5.01/3.92 tff(14173,plain,
% 5.01/3.92 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s173, c_t2) | (~node15(s173)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s173, c_t2) | (~node15(s173)))),
% 5.01/3.92 inference(rewrite,[status(thm)],[])).
% 5.01/3.92 tff(14174,plain,
% 5.01/3.92 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s173, c_t2) | (~node15(s173)))),
% 5.01/3.92 inference(quant_inst,[status(thm)],[])).
% 5.01/3.92 tff(14175,plain,
% 5.01/3.92 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s173, c_t2) | (~node15(s173))),
% 5.01/3.92 inference(modus_ponens,[status(thm)],[14174, 14173])).
% 5.01/3.92 tff(14176,plain,
% 5.01/3.92 (~node15(s173)),
% 5.01/3.92 inference(unit_resolution,[status(thm)],[14175, 103, 14085])).
% 5.01/3.92 tff(14177,plain,
% 5.01/3.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s173, s174)) | node18(s173, s174))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s173, s174)) | node18(s173, s174))),
% 5.01/3.92 inference(rewrite,[status(thm)],[])).
% 5.01/3.92 tff(14178,plain,
% 5.01/3.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s173, s174)) | node18(s173, s174))),
% 5.01/3.92 inference(quant_inst,[status(thm)],[])).
% 5.01/3.92 tff(14179,plain,
% 5.01/3.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s173, s174)) | node18(s173, s174)),
% 5.01/3.92 inference(modus_ponens,[status(thm)],[14178, 14177])).
% 5.01/3.92 tff(14180,plain,
% 5.01/3.92 (node18(s173, s174)),
% 5.01/3.92 inference(unit_resolution,[status(thm)],[14179, 125, 14096])).
% 5.01/3.92 tff(14181,plain,
% 5.01/3.92 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s173) | (~node18(s173, s174)) | (~m_main_v_state1(s173, c_t1)) | (~m_main_v_state2(s173, c_n2)) | m_main_v_turn(s174, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s173) | (~node18(s173, s174)) | (~m_main_v_state1(s173, c_t1)) | (~m_main_v_state2(s173, c_n2)) | m_main_v_turn(s174, c_1))),
% 5.01/3.92 inference(rewrite,[status(thm)],[])).
% 5.01/3.92 tff(14182,plain,
% 5.01/3.92 (((~m_main_v_state1(s173, c_t1)) | (~m_main_v_state2(s173, c_n2)) | node15(s173) | (~node18(s173, s174)) | m_main_v_turn(s174, c_1)) <=> (node15(s173) | (~node18(s173, s174)) | (~m_main_v_state1(s173, c_t1)) | (~m_main_v_state2(s173, c_n2)) | m_main_v_turn(s174, c_1))),
% 5.01/3.92 inference(rewrite,[status(thm)],[])).
% 5.01/3.92 tff(14183,plain,
% 5.01/3.92 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s173, c_t1)) | (~m_main_v_state2(s173, c_n2)) | node15(s173) | (~node18(s173, s174)) | m_main_v_turn(s174, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s173) | (~node18(s173, s174)) | (~m_main_v_state1(s173, c_t1)) | (~m_main_v_state2(s173, c_n2)) | m_main_v_turn(s174, c_1)))),
% 5.01/3.92 inference(monotonicity,[status(thm)],[14182])).
% 5.01/3.92 tff(14184,plain,
% 5.01/3.92 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s173, c_t1)) | (~m_main_v_state2(s173, c_n2)) | node15(s173) | (~node18(s173, s174)) | m_main_v_turn(s174, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s173) | (~node18(s173, s174)) | (~m_main_v_state1(s173, c_t1)) | (~m_main_v_state2(s173, c_n2)) | m_main_v_turn(s174, c_1))),
% 5.01/3.92 inference(transitivity,[status(thm)],[14183, 14181])).
% 5.01/3.92 tff(14185,plain,
% 5.01/3.92 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s173, c_t1)) | (~m_main_v_state2(s173, c_n2)) | node15(s173) | (~node18(s173, s174)) | m_main_v_turn(s174, c_1))),
% 5.01/3.92 inference(quant_inst,[status(thm)],[])).
% 5.01/3.92 tff(14186,plain,
% 5.01/3.92 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s173) | (~node18(s173, s174)) | (~m_main_v_state1(s173, c_t1)) | (~m_main_v_state2(s173, c_n2)) | m_main_v_turn(s174, c_1)),
% 5.01/3.92 inference(modus_ponens,[status(thm)],[14185, 14184])).
% 5.01/3.92 tff(14187,plain,
% 5.01/3.92 (node15(s173) | (~m_main_v_state1(s173, c_t1)) | (~m_main_v_state2(s173, c_n2)) | m_main_v_turn(s174, c_1)),
% 5.01/3.92 inference(unit_resolution,[status(thm)],[14186, 992, 14180])).
% 5.01/3.92 tff(14188,plain,
% 5.01/3.92 (m_main_v_turn(s174, c_1)),
% 5.01/3.92 inference(unit_resolution,[status(thm)],[14187, 14176, 14013, 14081])).
% 5.01/3.92 tff(14189,plain,
% 5.01/3.92 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s174, c_1)) | (~m_main_v_turn(s174, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s174, c_1)) | (~m_main_v_turn(s174, c_2)))),
% 5.01/3.92 inference(rewrite,[status(thm)],[])).
% 5.01/3.92 tff(14190,plain,
% 5.01/3.92 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s174, c_1)) | (~m_main_v_turn(s174, c_2)))),
% 5.01/3.92 inference(quant_inst,[status(thm)],[])).
% 5.01/3.92 tff(14191,plain,
% 5.01/3.92 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s174, c_1)) | (~m_main_v_turn(s174, c_2))),
% 5.01/3.92 inference(modus_ponens,[status(thm)],[14190, 14189])).
% 5.01/3.92 tff(14192,plain,
% 5.01/3.92 (~m_main_v_turn(s174, c_2)),
% 5.01/3.92 inference(unit_resolution,[status(thm)],[14191, 156, 14188])).
% 5.01/3.92 tff(14193,plain,
% 5.01/3.92 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s174, c_2) | (~node12(s174)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s174, c_2) | (~node12(s174)))),
% 5.01/3.92 inference(rewrite,[status(thm)],[])).
% 5.01/3.92 tff(14194,plain,
% 5.01/3.92 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s174, c_2) | (~node12(s174)))),
% 5.01/3.92 inference(quant_inst,[status(thm)],[])).
% 5.01/3.92 tff(14195,plain,
% 5.01/3.92 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s174, c_2) | (~node12(s174))),
% 5.01/3.92 inference(modus_ponens,[status(thm)],[14194, 14193])).
% 5.01/3.92 tff(14196,plain,
% 5.01/3.92 (~node12(s174)),
% 5.01/3.92 inference(unit_resolution,[status(thm)],[14195, 184, 14192])).
% 5.01/3.92 tff(14197,plain,
% 5.01/3.92 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s174, c_n2) | (~node8(s174)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s174, c_n2) | (~node8(s174)))),
% 5.01/3.92 inference(rewrite,[status(thm)],[])).
% 5.01/3.92 tff(14198,plain,
% 5.01/3.92 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s174, c_n2) | (~node8(s174)))),
% 5.01/3.92 inference(quant_inst,[status(thm)],[])).
% 5.01/3.92 tff(14199,plain,
% 5.01/3.92 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s174, c_n2) | (~node8(s174))),
% 5.01/3.92 inference(modus_ponens,[status(thm)],[14198, 14197])).
% 5.01/3.92 tff(14200,plain,
% 5.01/3.92 (~node8(s174)),
% 5.01/3.92 inference(unit_resolution,[status(thm)],[14199, 271, 14129])).
% 5.01/3.92 tff(14201,plain,
% 5.01/3.92 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s174, c_n2) | (~node9(s174)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s174, c_n2) | (~node9(s174)))),
% 5.01/3.92 inference(rewrite,[status(thm)],[])).
% 5.01/3.92 tff(14202,plain,
% 5.01/3.92 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s174, c_n2) | (~node9(s174)))),
% 5.01/3.92 inference(quant_inst,[status(thm)],[])).
% 5.01/3.92 tff(14203,plain,
% 5.01/3.92 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s174, c_n2) | (~node9(s174))),
% 5.01/3.92 inference(modus_ponens,[status(thm)],[14202, 14201])).
% 5.01/3.92 tff(14204,plain,
% 5.01/3.92 (~node9(s174)),
% 5.01/3.92 inference(unit_resolution,[status(thm)],[14203, 88, 14129])).
% 5.01/3.92 tff(14205,plain,
% 5.01/3.92 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s174, c_n2) | (~node10(s174)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s174, c_n2) | (~node10(s174)))),
% 5.01/3.92 inference(rewrite,[status(thm)],[])).
% 5.01/3.92 tff(14206,plain,
% 5.01/3.92 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s174, c_n2) | (~node10(s174)))),
% 5.01/3.92 inference(quant_inst,[status(thm)],[])).
% 5.01/3.92 tff(14207,plain,
% 5.01/3.92 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s174, c_n2) | (~node10(s174))),
% 5.01/3.92 inference(modus_ponens,[status(thm)],[14206, 14205])).
% 5.01/3.92 tff(14208,plain,
% 5.01/3.92 (~node10(s174)),
% 5.01/3.92 inference(unit_resolution,[status(thm)],[14207, 249, 14129])).
% 5.01/3.92 tff(14209,plain,
% 5.01/3.92 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s174, c_n1) | (~node11(s174)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s174, c_n1) | (~node11(s174)))),
% 5.01/3.92 inference(rewrite,[status(thm)],[])).
% 5.01/3.92 tff(14210,plain,
% 5.01/3.92 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s174, c_n1) | (~node11(s174)))),
% 5.01/3.92 inference(quant_inst,[status(thm)],[])).
% 5.01/3.92 tff(14211,plain,
% 5.01/3.92 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s174, c_n1) | (~node11(s174))),
% 5.01/3.92 inference(modus_ponens,[status(thm)],[14210, 14209])).
% 5.01/3.92 tff(14212,plain,
% 5.01/3.92 (~node11(s174)),
% 5.01/3.92 inference(unit_resolution,[status(thm)],[14211, 238, 14149])).
% 5.01/3.92 tff(14213,plain,
% 5.01/3.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s174, s175)) | node14(s174, s175))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s174, s175)) | node14(s174, s175))),
% 5.01/3.92 inference(rewrite,[status(thm)],[])).
% 5.01/3.92 tff(14214,plain,
% 5.01/3.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s174, s175)) | node14(s174, s175))),
% 5.01/3.92 inference(quant_inst,[status(thm)],[])).
% 5.01/3.92 tff(14215,plain,
% 5.01/3.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s174, s175)) | node14(s174, s175)),
% 5.01/3.92 inference(modus_ponens,[status(thm)],[14214, 14213])).
% 5.01/3.92 tff(14216,plain,
% 5.01/3.92 (node14(s174, s175)),
% 5.01/3.92 inference(unit_resolution,[status(thm)],[14215, 46, 14160])).
% 5.01/3.92 tff(14217,plain,
% 5.01/3.92 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s174, c_c2) | node9(s174) | node8(s174) | node10(s174) | node11(s174) | node12(s174) | node13(s174, s175) | (~node14(s174, s175)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s174, c_c2) | node9(s174) | node8(s174) | node10(s174) | node11(s174) | node12(s174) | node13(s174, s175) | (~node14(s174, s175)))),
% 5.01/3.92 inference(rewrite,[status(thm)],[])).
% 5.01/3.92 tff(14218,plain,
% 5.01/3.92 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s174, c_c2) | node9(s174) | node8(s174) | node10(s174) | node11(s174) | node12(s174) | node13(s174, s175) | (~node14(s174, s175)))),
% 5.01/3.92 inference(quant_inst,[status(thm)],[])).
% 5.01/3.92 tff(14219,plain,
% 5.01/3.92 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s174, c_c2) | node9(s174) | node8(s174) | node10(s174) | node11(s174) | node12(s174) | node13(s174, s175) | (~node14(s174, s175))),
% 5.01/3.92 inference(modus_ponens,[status(thm)],[14218, 14217])).
% 5.01/3.92 tff(14220,plain,
% 5.01/3.92 (m_main_v_state2(s174, c_c2) | node9(s174) | node8(s174) | node10(s174) | node11(s174) | node12(s174) | node13(s174, s175)),
% 5.01/3.92 inference(unit_resolution,[status(thm)],[14219, 296, 14216])).
% 5.01/3.92 tff(14221,plain,
% 5.01/3.92 (node13(s174, s175)),
% 5.01/3.92 inference(unit_resolution,[status(thm)],[14220, 14212, 14137, 14208, 14204, 14200, 14196])).
% 5.01/3.92 tff(14222,plain,
% 5.01/3.92 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s174, c_t2)) | m_main_v_state2(s175, c_t2) | (~node13(s174, s175)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s174, c_t2)) | m_main_v_state2(s175, c_t2) | (~node13(s174, s175)))),
% 5.01/3.92 inference(rewrite,[status(thm)],[])).
% 5.01/3.92 tff(14223,plain,
% 5.01/3.92 (((~node13(s174, s175)) | (~m_main_v_state2(s174, c_t2)) | m_main_v_state2(s175, c_t2)) <=> ((~m_main_v_state2(s174, c_t2)) | m_main_v_state2(s175, c_t2) | (~node13(s174, s175)))),
% 5.01/3.92 inference(rewrite,[status(thm)],[])).
% 5.01/3.92 tff(14224,plain,
% 5.01/3.92 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s174, s175)) | (~m_main_v_state2(s174, c_t2)) | m_main_v_state2(s175, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s174, c_t2)) | m_main_v_state2(s175, c_t2) | (~node13(s174, s175))))),
% 5.01/3.92 inference(monotonicity,[status(thm)],[14223])).
% 5.01/3.92 tff(14225,plain,
% 5.01/3.92 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s174, s175)) | (~m_main_v_state2(s174, c_t2)) | m_main_v_state2(s175, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s174, c_t2)) | m_main_v_state2(s175, c_t2) | (~node13(s174, s175)))),
% 5.01/3.92 inference(transitivity,[status(thm)],[14224, 14222])).
% 5.01/3.92 tff(14226,plain,
% 5.01/3.92 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s174, s175)) | (~m_main_v_state2(s174, c_t2)) | m_main_v_state2(s175, c_t2))),
% 5.01/3.92 inference(quant_inst,[status(thm)],[])).
% 5.01/3.92 tff(14227,plain,
% 5.01/3.92 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s174, c_t2)) | m_main_v_state2(s175, c_t2) | (~node13(s174, s175))),
% 5.01/3.92 inference(modus_ponens,[status(thm)],[14226, 14225])).
% 5.01/3.92 tff(14228,plain,
% 5.01/3.92 (m_main_v_state2(s175, c_t2)),
% 5.01/3.92 inference(unit_resolution,[status(thm)],[14227, 518, 14125, 14221])).
% 5.01/3.92 tff(14229,plain,
% 5.01/3.92 (succ(s175, s176) <=> succ(s175, s176)),
% 5.01/3.92 inference(rewrite,[status(thm)],[])).
% 5.01/3.92 tff(14230,axiom,(succ(s175, s176)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound176')).
% 5.01/3.92 tff(14231,plain,
% 5.01/3.92 (succ(s175, s176)),
% 5.01/3.92 inference(modus_ponens,[status(thm)],[14230, 14229])).
% 5.01/3.92 tff(14232,plain,
% 5.01/3.92 (((~![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))),
% 5.01/3.92 inference(rewrite,[status(thm)],[])).
% 5.01/3.92 tff(14233,plain,
% 5.01/3.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s175, s176)) | trans(s175, s176))),
% 5.01/3.92 inference(quant_inst,[status(thm)],[])).
% 5.01/3.92 tff(14234,plain,
% 5.01/3.92 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s175, s176)) | trans(s175, s176)),
% 5.01/3.92 inference(modus_ponens,[status(thm)],[14233, 14232])).
% 5.01/3.92 tff(14235,plain,
% 5.01/3.92 (trans(s175, s176)),
% 5.01/3.92 inference(unit_resolution,[status(thm)],[14234, 14231, 32])).
% 5.01/3.92 tff(14236,plain,
% 5.01/3.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s175, s176)) | node7(s175, s176))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s175, s176)) | node7(s175, s176))),
% 5.01/3.92 inference(rewrite,[status(thm)],[])).
% 5.01/3.92 tff(14237,plain,
% 5.01/3.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s175, s176)) | node7(s175, s176))),
% 5.01/3.92 inference(quant_inst,[status(thm)],[])).
% 5.01/3.92 tff(14238,plain,
% 5.01/3.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s175, s176)) | node7(s175, s176)),
% 5.01/3.92 inference(modus_ponens,[status(thm)],[14237, 14236])).
% 5.01/3.92 tff(14239,plain,
% 5.01/3.92 (node7(s175, s176)),
% 5.01/3.92 inference(unit_resolution,[status(thm)],[14238, 206, 14235])).
% 5.01/3.92 tff(14240,plain,
% 5.01/3.92 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s175, c_n1)) | (~m_main_v_state2(s175, c_t2)) | (~node7(s175, s176)) | m_main_v_state1(s176, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s175, c_n1)) | (~m_main_v_state2(s175, c_t2)) | (~node7(s175, s176)) | m_main_v_state1(s176, c_t1))),
% 5.01/3.92 inference(rewrite,[status(thm)],[])).
% 5.01/3.92 tff(14241,plain,
% 5.01/3.92 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s175, c_n1)) | (~m_main_v_state2(s175, c_t2)) | (~node7(s175, s176)) | m_main_v_state1(s176, c_t1))),
% 5.01/3.92 inference(quant_inst,[status(thm)],[])).
% 5.01/3.92 tff(14242,plain,
% 5.01/3.92 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s175, c_n1)) | (~m_main_v_state2(s175, c_t2)) | (~node7(s175, s176)) | m_main_v_state1(s176, c_t1)),
% 5.01/3.92 inference(modus_ponens,[status(thm)],[14241, 14240])).
% 5.01/3.92 tff(14243,plain,
% 5.01/3.92 ((~m_main_v_state1(s175, c_n1)) | (~m_main_v_state2(s175, c_t2)) | m_main_v_state1(s176, c_t1)),
% 5.01/3.92 inference(unit_resolution,[status(thm)],[14242, 651, 14239])).
% 5.01/3.92 tff(14244,plain,
% 5.01/3.92 (m_main_v_state1(s176, c_t1)),
% 5.01/3.92 inference(unit_resolution,[status(thm)],[14243, 14228, 14172])).
% 5.01/3.92 tff(14245,plain,
% 5.01/3.92 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s176, c_n1)) | (~m_main_v_state1(s176, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s176, c_n1)) | (~m_main_v_state1(s176, c_t1)))),
% 5.01/3.92 inference(rewrite,[status(thm)],[])).
% 5.01/3.92 tff(14246,plain,
% 5.01/3.92 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s176, c_n1)) | (~m_main_v_state1(s176, c_t1)))),
% 5.01/3.92 inference(quant_inst,[status(thm)],[])).
% 5.01/3.92 tff(14247,plain,
% 5.01/3.92 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s176, c_n1)) | (~m_main_v_state1(s176, c_t1))),
% 5.01/3.92 inference(modus_ponens,[status(thm)],[14246, 14245])).
% 5.01/3.92 tff(14248,plain,
% 5.01/3.92 (~m_main_v_state1(s176, c_n1)),
% 5.01/3.92 inference(unit_resolution,[status(thm)],[14247, 10, 14244])).
% 5.01/3.92 tff(14249,plain,
% 5.01/3.92 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s176, c_n1) | (~node1(s176)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s176, c_n1) | (~node1(s176)))),
% 5.01/3.92 inference(rewrite,[status(thm)],[])).
% 5.01/3.92 tff(14250,plain,
% 5.01/3.92 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s176, c_n1) | (~node1(s176)))),
% 5.01/3.92 inference(quant_inst,[status(thm)],[])).
% 5.01/3.92 tff(14251,plain,
% 5.01/3.92 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s176, c_n1) | (~node1(s176))),
% 5.01/3.92 inference(modus_ponens,[status(thm)],[14250, 14249])).
% 5.01/3.92 tff(14252,plain,
% 5.01/3.92 (~node1(s176)),
% 5.01/3.92 inference(unit_resolution,[status(thm)],[14251, 421, 14248])).
% 5.01/3.92 tff(14253,plain,
% 5.01/3.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s175, s176)) | node18(s175, s176))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s175, s176)) | node18(s175, s176))),
% 5.01/3.92 inference(rewrite,[status(thm)],[])).
% 5.01/3.92 tff(14254,plain,
% 5.01/3.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s175, s176)) | node18(s175, s176))),
% 5.01/3.92 inference(quant_inst,[status(thm)],[])).
% 5.01/3.92 tff(14255,plain,
% 5.01/3.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s175, s176)) | node18(s175, s176)),
% 5.01/3.92 inference(modus_ponens,[status(thm)],[14254, 14253])).
% 5.01/3.92 tff(14256,plain,
% 5.01/3.92 (node18(s175, s176)),
% 5.01/3.92 inference(unit_resolution,[status(thm)],[14255, 125, 14235])).
% 5.01/3.92 tff(14257,plain,
% 5.01/3.92 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s175, c_n1)) | (~m_main_v_state2(s175, c_t2)) | (~node18(s175, s176)) | m_main_v_turn(s176, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s175, c_n1)) | (~m_main_v_state2(s175, c_t2)) | (~node18(s175, s176)) | m_main_v_turn(s176, c_2))),
% 5.01/3.92 inference(rewrite,[status(thm)],[])).
% 5.01/3.92 tff(14258,plain,
% 5.01/3.92 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s175, c_n1)) | (~m_main_v_state2(s175, c_t2)) | (~node18(s175, s176)) | m_main_v_turn(s176, c_2))),
% 5.01/3.92 inference(quant_inst,[status(thm)],[])).
% 5.01/3.92 tff(14259,plain,
% 5.01/3.92 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s175, c_n1)) | (~m_main_v_state2(s175, c_t2)) | (~node18(s175, s176)) | m_main_v_turn(s176, c_2)),
% 5.01/3.92 inference(modus_ponens,[status(thm)],[14258, 14257])).
% 5.01/3.92 tff(14260,plain,
% 5.01/3.92 ((~m_main_v_state1(s175, c_n1)) | (~m_main_v_state2(s175, c_t2)) | m_main_v_turn(s176, c_2)),
% 5.01/3.92 inference(unit_resolution,[status(thm)],[14259, 760, 14256])).
% 5.01/3.92 tff(14261,plain,
% 5.01/3.92 (m_main_v_turn(s176, c_2)),
% 5.01/3.92 inference(unit_resolution,[status(thm)],[14260, 14228, 14172])).
% 5.01/3.92 tff(14262,plain,
% 5.01/3.92 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s176, c_1)) | (~m_main_v_turn(s176, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s176, c_1)) | (~m_main_v_turn(s176, c_2)))),
% 5.01/3.92 inference(rewrite,[status(thm)],[])).
% 5.01/3.92 tff(14263,plain,
% 5.01/3.92 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s176, c_1)) | (~m_main_v_turn(s176, c_2)))),
% 5.01/3.92 inference(quant_inst,[status(thm)],[])).
% 5.01/3.92 tff(14264,plain,
% 5.01/3.92 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s176, c_1)) | (~m_main_v_turn(s176, c_2))),
% 5.01/3.92 inference(modus_ponens,[status(thm)],[14263, 14262])).
% 5.01/3.92 tff(14265,plain,
% 5.01/3.92 (~m_main_v_turn(s176, c_1)),
% 5.01/3.92 inference(unit_resolution,[status(thm)],[14264, 156, 14261])).
% 5.01/3.92 tff(14266,plain,
% 5.01/3.92 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s176, c_1) | (~node5(s176)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s176, c_1) | (~node5(s176)))),
% 5.01/3.92 inference(rewrite,[status(thm)],[])).
% 5.01/3.92 tff(14267,plain,
% 5.01/3.92 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s176, c_1) | (~node5(s176)))),
% 5.01/3.92 inference(quant_inst,[status(thm)],[])).
% 5.01/3.92 tff(14268,plain,
% 5.01/3.92 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s176, c_1) | (~node5(s176))),
% 5.01/3.92 inference(modus_ponens,[status(thm)],[14267, 14266])).
% 5.01/3.92 tff(14269,plain,
% 5.01/3.92 (~node5(s176)),
% 5.01/3.92 inference(unit_resolution,[status(thm)],[14268, 776, 14265])).
% 5.01/3.92 tff(14270,plain,
% 5.01/3.92 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s176, c_n1) | (~node2(s176)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s176, c_n1) | (~node2(s176)))),
% 5.01/3.93 inference(rewrite,[status(thm)],[])).
% 5.01/3.93 tff(14271,plain,
% 5.01/3.93 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s176, c_n1) | (~node2(s176)))),
% 5.01/3.93 inference(quant_inst,[status(thm)],[])).
% 5.01/3.93 tff(14272,plain,
% 5.01/3.93 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s176, c_n1) | (~node2(s176))),
% 5.01/3.93 inference(modus_ponens,[status(thm)],[14271, 14270])).
% 5.01/3.93 tff(14273,plain,
% 5.01/3.93 (~node2(s176)),
% 5.01/3.93 inference(unit_resolution,[status(thm)],[14272, 787, 14248])).
% 5.01/3.93 tff(14274,plain,
% 5.01/3.93 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s176, c_n1) | (~node3(s176)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s176, c_n1) | (~node3(s176)))),
% 5.01/3.93 inference(rewrite,[status(thm)],[])).
% 5.01/3.93 tff(14275,plain,
% 5.01/3.93 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s176, c_n1) | (~node3(s176)))),
% 5.01/3.93 inference(quant_inst,[status(thm)],[])).
% 5.01/3.93 tff(14276,plain,
% 5.01/3.93 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s176, c_n1) | (~node3(s176))),
% 5.01/3.93 inference(modus_ponens,[status(thm)],[14275, 14274])).
% 5.01/3.93 tff(14277,plain,
% 5.01/3.93 (~node3(s176)),
% 5.01/3.93 inference(unit_resolution,[status(thm)],[14276, 798, 14248])).
% 5.01/3.93 tff(14278,plain,
% 5.01/3.93 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s176, c_t1)) | (~m_main_v_state1(s176, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s176, c_t1)) | (~m_main_v_state1(s176, c_c1)))),
% 5.01/3.93 inference(rewrite,[status(thm)],[])).
% 5.01/3.93 tff(14279,plain,
% 5.01/3.93 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s176, c_t1)) | (~m_main_v_state1(s176, c_c1)))),
% 5.01/3.93 inference(quant_inst,[status(thm)],[])).
% 5.01/3.93 tff(14280,plain,
% 5.01/3.93 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s176, c_t1)) | (~m_main_v_state1(s176, c_c1))),
% 5.01/3.93 inference(modus_ponens,[status(thm)],[14279, 14278])).
% 5.01/3.93 tff(14281,plain,
% 5.01/3.93 (~m_main_v_state1(s176, c_c1)),
% 5.01/3.93 inference(unit_resolution,[status(thm)],[14280, 539, 14244])).
% 5.01/3.93 tff(14282,plain,
% 5.01/3.93 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s174, c_n2) | (~m_main_v_state2(s175, c_n2)) | (~node13(s174, s175)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s174, c_n2) | (~m_main_v_state2(s175, c_n2)) | (~node13(s174, s175)))),
% 5.01/3.93 inference(rewrite,[status(thm)],[])).
% 5.01/3.93 tff(14283,plain,
% 5.01/3.93 (((~node13(s174, s175)) | m_main_v_state2(s174, c_n2) | (~m_main_v_state2(s175, c_n2))) <=> (m_main_v_state2(s174, c_n2) | (~m_main_v_state2(s175, c_n2)) | (~node13(s174, s175)))),
% 5.01/3.93 inference(rewrite,[status(thm)],[])).
% 5.01/3.93 tff(14284,plain,
% 5.01/3.93 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s174, s175)) | m_main_v_state2(s174, c_n2) | (~m_main_v_state2(s175, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s174, c_n2) | (~m_main_v_state2(s175, c_n2)) | (~node13(s174, s175))))),
% 5.01/3.93 inference(monotonicity,[status(thm)],[14283])).
% 5.01/3.93 tff(14285,plain,
% 5.01/3.93 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s174, s175)) | m_main_v_state2(s174, c_n2) | (~m_main_v_state2(s175, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s174, c_n2) | (~m_main_v_state2(s175, c_n2)) | (~node13(s174, s175)))),
% 5.01/3.93 inference(transitivity,[status(thm)],[14284, 14282])).
% 5.01/3.93 tff(14286,plain,
% 5.01/3.93 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s174, s175)) | m_main_v_state2(s174, c_n2) | (~m_main_v_state2(s175, c_n2)))),
% 5.01/3.93 inference(quant_inst,[status(thm)],[])).
% 5.01/3.93 tff(14287,plain,
% 5.01/3.93 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s174, c_n2) | (~m_main_v_state2(s175, c_n2)) | (~node13(s174, s175))),
% 5.01/3.93 inference(modus_ponens,[status(thm)],[14286, 14285])).
% 5.01/3.93 tff(14288,plain,
% 5.01/3.93 (~m_main_v_state2(s175, c_n2)),
% 5.01/3.93 inference(unit_resolution,[status(thm)],[14287, 311, 14129, 14221])).
% 5.01/3.93 tff(14289,plain,
% 5.01/3.93 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s175, c_n2) | (~node9(s175)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s175, c_n2) | (~node9(s175)))),
% 5.01/3.93 inference(rewrite,[status(thm)],[])).
% 5.01/3.93 tff(14290,plain,
% 5.01/3.93 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s175, c_n2) | (~node9(s175)))),
% 5.01/3.93 inference(quant_inst,[status(thm)],[])).
% 5.01/3.93 tff(14291,plain,
% 5.01/3.93 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s175, c_n2) | (~node9(s175))),
% 5.01/3.93 inference(modus_ponens,[status(thm)],[14290, 14289])).
% 5.01/3.93 tff(14292,plain,
% 5.01/3.93 (~node9(s175)),
% 5.01/3.93 inference(unit_resolution,[status(thm)],[14291, 88, 14288])).
% 5.01/3.93 tff(14293,plain,
% 5.01/3.93 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s175, c_n2) | (~node10(s175)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s175, c_n2) | (~node10(s175)))),
% 5.01/3.93 inference(rewrite,[status(thm)],[])).
% 5.01/3.93 tff(14294,plain,
% 5.01/3.93 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s175, c_n2) | (~node10(s175)))),
% 5.01/3.93 inference(quant_inst,[status(thm)],[])).
% 5.01/3.93 tff(14295,plain,
% 5.01/3.93 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s175, c_n2) | (~node10(s175))),
% 5.01/3.93 inference(modus_ponens,[status(thm)],[14294, 14293])).
% 5.01/3.93 tff(14296,plain,
% 5.01/3.93 (~node10(s175)),
% 5.01/3.93 inference(unit_resolution,[status(thm)],[14295, 249, 14288])).
% 5.01/3.93 tff(14297,plain,
% 5.01/3.93 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s175, c_n2) | (~node8(s175)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s175, c_n2) | (~node8(s175)))),
% 5.01/3.93 inference(rewrite,[status(thm)],[])).
% 5.01/3.93 tff(14298,plain,
% 5.01/3.93 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s175, c_n2) | (~node8(s175)))),
% 5.01/3.93 inference(quant_inst,[status(thm)],[])).
% 5.01/3.93 tff(14299,plain,
% 5.01/3.93 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s175, c_n2) | (~node8(s175))),
% 5.01/3.93 inference(modus_ponens,[status(thm)],[14298, 14297])).
% 5.01/3.93 tff(14300,plain,
% 5.01/3.93 (~node8(s175)),
% 5.01/3.93 inference(unit_resolution,[status(thm)],[14299, 271, 14288])).
% 5.01/3.93 tff(14301,plain,
% 5.01/3.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s175, s176)) | node14(s175, s176))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s175, s176)) | node14(s175, s176))),
% 5.01/3.93 inference(rewrite,[status(thm)],[])).
% 5.01/3.93 tff(14302,plain,
% 5.01/3.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s175, s176)) | node14(s175, s176))),
% 5.01/3.93 inference(quant_inst,[status(thm)],[])).
% 5.01/3.93 tff(14303,plain,
% 5.01/3.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s175, s176)) | node14(s175, s176)),
% 5.01/3.93 inference(modus_ponens,[status(thm)],[14302, 14301])).
% 5.01/3.93 tff(14304,plain,
% 5.01/3.93 (node14(s175, s176)),
% 5.01/3.93 inference(unit_resolution,[status(thm)],[14303, 46, 14235])).
% 5.01/3.93 tff(14305,plain,
% 5.01/3.93 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s175, c_n1)) | (~m_main_v_state2(s175, c_t2)) | node9(s175) | node8(s175) | node10(s175) | (~node14(s175, s176)) | m_main_v_state2(s176, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s175, c_n1)) | (~m_main_v_state2(s175, c_t2)) | node9(s175) | node8(s175) | node10(s175) | (~node14(s175, s176)) | m_main_v_state2(s176, c_c2))),
% 5.01/3.93 inference(rewrite,[status(thm)],[])).
% 5.01/3.93 tff(14306,plain,
% 5.01/3.93 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s175, c_n1)) | (~m_main_v_state2(s175, c_t2)) | node9(s175) | node8(s175) | node10(s175) | (~node14(s175, s176)) | m_main_v_state2(s176, c_c2))),
% 5.01/3.93 inference(quant_inst,[status(thm)],[])).
% 5.01/3.93 tff(14307,plain,
% 5.01/3.93 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s175, c_n1)) | (~m_main_v_state2(s175, c_t2)) | node9(s175) | node8(s175) | node10(s175) | (~node14(s175, s176)) | m_main_v_state2(s176, c_c2)),
% 5.01/3.93 inference(modus_ponens,[status(thm)],[14306, 14305])).
% 5.01/3.93 tff(14308,plain,
% 5.01/3.93 ((~m_main_v_state1(s175, c_n1)) | (~m_main_v_state2(s175, c_t2)) | node9(s175) | node8(s175) | node10(s175) | m_main_v_state2(s176, c_c2)),
% 5.01/3.93 inference(unit_resolution,[status(thm)],[14307, 617, 14304])).
% 5.01/3.93 tff(14309,plain,
% 5.01/3.93 (m_main_v_state2(s176, c_c2)),
% 5.01/3.93 inference(unit_resolution,[status(thm)],[14308, 14300, 14172, 14228, 14296, 14292])).
% 5.01/3.93 tff(14310,plain,
% 5.01/3.93 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s176, c_n2)) | (~m_main_v_state2(s176, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s176, c_n2)) | (~m_main_v_state2(s176, c_c2)))),
% 5.01/3.93 inference(rewrite,[status(thm)],[])).
% 5.01/3.93 tff(14311,plain,
% 5.01/3.93 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s176, c_n2)) | (~m_main_v_state2(s176, c_c2)))),
% 5.01/3.93 inference(quant_inst,[status(thm)],[])).
% 5.01/3.93 tff(14312,plain,
% 5.01/3.93 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s176, c_n2)) | (~m_main_v_state2(s176, c_c2))),
% 5.01/3.93 inference(modus_ponens,[status(thm)],[14311, 14310])).
% 5.01/3.93 tff(14313,plain,
% 5.01/3.93 (~m_main_v_state2(s176, c_n2)),
% 5.01/3.93 inference(unit_resolution,[status(thm)],[14312, 697, 14309])).
% 5.01/3.93 tff(14314,plain,
% 5.01/3.93 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s176, c_n2) | (~node4(s176)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s176, c_n2) | (~node4(s176)))),
% 5.01/3.93 inference(rewrite,[status(thm)],[])).
% 5.01/3.93 tff(14315,plain,
% 5.01/3.93 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s176, c_n2) | (~node4(s176)))),
% 5.01/3.93 inference(quant_inst,[status(thm)],[])).
% 5.01/3.93 tff(14316,plain,
% 5.01/3.93 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s176, c_n2) | (~node4(s176))),
% 5.01/3.93 inference(modus_ponens,[status(thm)],[14315, 14314])).
% 5.01/3.93 tff(14317,plain,
% 5.01/3.93 (~node4(s176)),
% 5.01/3.93 inference(unit_resolution,[status(thm)],[14316, 388, 14313])).
% 5.01/3.93 tff(14318,plain,
% 5.01/3.93 (succ(s176, s177) <=> succ(s176, s177)),
% 5.01/3.93 inference(rewrite,[status(thm)],[])).
% 5.01/3.93 tff(14319,axiom,(succ(s176, s177)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound177')).
% 5.01/3.93 tff(14320,plain,
% 5.01/3.93 (succ(s176, s177)),
% 5.01/3.93 inference(modus_ponens,[status(thm)],[14319, 14318])).
% 5.01/3.93 tff(14321,plain,
% 5.01/3.93 (((~![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))),
% 5.01/3.93 inference(rewrite,[status(thm)],[])).
% 5.01/3.93 tff(14322,plain,
% 5.01/3.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s176, s177)) | trans(s176, s177))),
% 5.01/3.93 inference(quant_inst,[status(thm)],[])).
% 5.01/3.93 tff(14323,plain,
% 5.01/3.93 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s176, s177)) | trans(s176, s177)),
% 5.01/3.93 inference(modus_ponens,[status(thm)],[14322, 14321])).
% 5.01/3.93 tff(14324,plain,
% 5.01/3.93 (trans(s176, s177)),
% 5.01/3.93 inference(unit_resolution,[status(thm)],[14323, 14320, 32])).
% 5.01/3.93 tff(14325,plain,
% 5.01/3.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s176, s177)) | node7(s176, s177))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s176, s177)) | node7(s176, s177))),
% 5.01/3.93 inference(rewrite,[status(thm)],[])).
% 5.01/3.93 tff(14326,plain,
% 5.01/3.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s176, s177)) | node7(s176, s177))),
% 5.01/3.93 inference(quant_inst,[status(thm)],[])).
% 5.01/3.93 tff(14327,plain,
% 5.01/3.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s176, s177)) | node7(s176, s177)),
% 5.01/3.93 inference(modus_ponens,[status(thm)],[14326, 14325])).
% 5.01/3.93 tff(14328,plain,
% 5.01/3.93 (node7(s176, s177)),
% 5.01/3.93 inference(unit_resolution,[status(thm)],[14327, 206, 14324])).
% 5.01/3.93 tff(14329,plain,
% 5.01/3.93 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s176, c_c1) | node1(s176) | node2(s176) | node3(s176) | node4(s176) | node5(s176) | node6(s176, s177) | (~node7(s176, s177)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s176, c_c1) | node1(s176) | node2(s176) | node3(s176) | node4(s176) | node5(s176) | node6(s176, s177) | (~node7(s176, s177)))),
% 5.01/3.93 inference(rewrite,[status(thm)],[])).
% 5.01/3.93 tff(14330,plain,
% 5.01/3.93 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s176, c_c1) | node1(s176) | node2(s176) | node3(s176) | node4(s176) | node5(s176) | node6(s176, s177) | (~node7(s176, s177)))),
% 5.01/3.93 inference(quant_inst,[status(thm)],[])).
% 5.01/3.93 tff(14331,plain,
% 5.01/3.93 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s176, c_c1) | node1(s176) | node2(s176) | node3(s176) | node4(s176) | node5(s176) | node6(s176, s177) | (~node7(s176, s177))),
% 5.01/3.93 inference(modus_ponens,[status(thm)],[14330, 14329])).
% 5.01/3.93 tff(14332,plain,
% 5.01/3.93 (m_main_v_state1(s176, c_c1) | node1(s176) | node2(s176) | node3(s176) | node4(s176) | node5(s176) | node6(s176, s177)),
% 5.01/3.93 inference(unit_resolution,[status(thm)],[14331, 820, 14328])).
% 5.01/3.93 tff(14333,plain,
% 5.01/3.93 (node6(s176, s177)),
% 5.01/3.93 inference(unit_resolution,[status(thm)],[14332, 14317, 14281, 14277, 14273, 14269, 14252])).
% 5.01/3.93 tff(14334,plain,
% 5.01/3.93 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s176, c_t1)) | m_main_v_state1(s177, c_t1) | (~node6(s176, s177)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s176, c_t1)) | m_main_v_state1(s177, c_t1) | (~node6(s176, s177)))),
% 5.01/3.93 inference(rewrite,[status(thm)],[])).
% 5.01/3.93 tff(14335,plain,
% 5.01/3.93 (((~node6(s176, s177)) | (~m_main_v_state1(s176, c_t1)) | m_main_v_state1(s177, c_t1)) <=> ((~m_main_v_state1(s176, c_t1)) | m_main_v_state1(s177, c_t1) | (~node6(s176, s177)))),
% 5.01/3.93 inference(rewrite,[status(thm)],[])).
% 5.01/3.93 tff(14336,plain,
% 5.01/3.93 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s176, s177)) | (~m_main_v_state1(s176, c_t1)) | m_main_v_state1(s177, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s176, c_t1)) | m_main_v_state1(s177, c_t1) | (~node6(s176, s177))))),
% 5.01/3.93 inference(monotonicity,[status(thm)],[14335])).
% 5.01/3.93 tff(14337,plain,
% 5.01/3.93 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s176, s177)) | (~m_main_v_state1(s176, c_t1)) | m_main_v_state1(s177, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s176, c_t1)) | m_main_v_state1(s177, c_t1) | (~node6(s176, s177)))),
% 5.01/3.93 inference(transitivity,[status(thm)],[14336, 14334])).
% 5.01/3.93 tff(14338,plain,
% 5.01/3.93 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s176, s177)) | (~m_main_v_state1(s176, c_t1)) | m_main_v_state1(s177, c_t1))),
% 5.01/3.93 inference(quant_inst,[status(thm)],[])).
% 5.01/3.93 tff(14339,plain,
% 5.01/3.93 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s176, c_t1)) | m_main_v_state1(s177, c_t1) | (~node6(s176, s177))),
% 5.01/3.93 inference(modus_ponens,[status(thm)],[14338, 14337])).
% 5.01/3.93 tff(14340,plain,
% 5.01/3.93 (m_main_v_state1(s177, c_t1)),
% 5.01/3.93 inference(unit_resolution,[status(thm)],[14339, 856, 14244, 14333])).
% 5.01/3.93 tff(14341,plain,
% 5.01/3.93 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s176, c_t2)) | (~m_main_v_state2(s176, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s176, c_t2)) | (~m_main_v_state2(s176, c_c2)))),
% 5.01/3.93 inference(rewrite,[status(thm)],[])).
% 5.01/3.93 tff(14342,plain,
% 5.01/3.93 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s176, c_t2)) | (~m_main_v_state2(s176, c_c2)))),
% 5.01/3.93 inference(quant_inst,[status(thm)],[])).
% 5.01/3.93 tff(14343,plain,
% 5.01/3.93 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s176, c_t2)) | (~m_main_v_state2(s176, c_c2))),
% 5.01/3.93 inference(modus_ponens,[status(thm)],[14342, 14341])).
% 5.01/3.93 tff(14344,plain,
% 5.01/3.93 (~m_main_v_state2(s176, c_t2)),
% 5.01/3.93 inference(unit_resolution,[status(thm)],[14343, 260, 14309])).
% 5.01/3.93 tff(14345,plain,
% 5.01/3.93 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s176, c_t2) | (~node12(s176)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s176, c_t2) | (~node12(s176)))),
% 5.01/3.93 inference(rewrite,[status(thm)],[])).
% 5.01/3.93 tff(14346,plain,
% 5.01/3.93 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s176, c_t2) | (~node12(s176)))),
% 5.01/3.93 inference(quant_inst,[status(thm)],[])).
% 5.01/3.93 tff(14347,plain,
% 5.01/3.93 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s176, c_t2) | (~node12(s176))),
% 5.01/3.93 inference(modus_ponens,[status(thm)],[14346, 14345])).
% 5.01/3.93 tff(14348,plain,
% 5.01/3.93 (~node12(s176)),
% 5.01/3.93 inference(unit_resolution,[status(thm)],[14347, 633, 14344])).
% 5.01/3.93 tff(14349,plain,
% 5.01/3.93 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s176, c_n1) | (~node11(s176)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s176, c_n1) | (~node11(s176)))),
% 5.01/3.93 inference(rewrite,[status(thm)],[])).
% 5.01/3.93 tff(14350,plain,
% 5.01/3.93 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s176, c_n1) | (~node11(s176)))),
% 5.01/3.93 inference(quant_inst,[status(thm)],[])).
% 5.01/3.93 tff(14351,plain,
% 5.01/3.93 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s176, c_n1) | (~node11(s176))),
% 5.01/3.93 inference(modus_ponens,[status(thm)],[14350, 14349])).
% 5.01/3.93 tff(14352,plain,
% 5.01/3.93 (~node11(s176)),
% 5.01/3.93 inference(unit_resolution,[status(thm)],[14351, 238, 14248])).
% 5.01/3.93 tff(14353,plain,
% 5.01/3.93 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s176, c_c1) | (~node10(s176)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s176, c_c1) | (~node10(s176)))),
% 5.01/3.93 inference(rewrite,[status(thm)],[])).
% 5.01/3.93 tff(14354,plain,
% 5.01/3.93 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s176, c_c1) | (~node10(s176)))),
% 5.01/3.93 inference(quant_inst,[status(thm)],[])).
% 5.01/3.93 tff(14355,plain,
% 5.01/3.93 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s176, c_c1) | (~node10(s176))),
% 5.01/3.93 inference(modus_ponens,[status(thm)],[14354, 14353])).
% 5.01/3.93 tff(14356,plain,
% 5.01/3.93 (~node10(s176)),
% 5.01/3.93 inference(unit_resolution,[status(thm)],[14355, 675, 14281])).
% 5.01/3.93 tff(14357,plain,
% 5.01/3.93 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s176, c_n1) | (~node9(s176)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s176, c_n1) | (~node9(s176)))),
% 5.01/3.93 inference(rewrite,[status(thm)],[])).
% 5.01/3.93 tff(14358,plain,
% 5.01/3.93 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s176, c_n1) | (~node9(s176)))),
% 5.01/3.93 inference(quant_inst,[status(thm)],[])).
% 5.01/3.93 tff(14359,plain,
% 5.01/3.93 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s176, c_n1) | (~node9(s176))),
% 5.01/3.93 inference(modus_ponens,[status(thm)],[14358, 14357])).
% 5.01/3.93 tff(14360,plain,
% 5.01/3.93 (~node9(s176)),
% 5.01/3.93 inference(unit_resolution,[status(thm)],[14359, 686, 14248])).
% 5.01/3.93 tff(14361,plain,
% 5.01/3.93 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s176, c_n2) | (~node8(s176)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s176, c_n2) | (~node8(s176)))),
% 5.01/3.93 inference(rewrite,[status(thm)],[])).
% 5.01/3.93 tff(14362,plain,
% 5.01/3.93 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s176, c_n2) | (~node8(s176)))),
% 5.01/3.93 inference(quant_inst,[status(thm)],[])).
% 5.01/3.93 tff(14363,plain,
% 5.01/3.93 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s176, c_n2) | (~node8(s176))),
% 5.01/3.93 inference(modus_ponens,[status(thm)],[14362, 14361])).
% 5.01/3.93 tff(14364,plain,
% 5.01/3.93 (~node8(s176)),
% 5.01/3.93 inference(unit_resolution,[status(thm)],[14363, 271, 14313])).
% 5.01/3.93 tff(14365,plain,
% 5.01/3.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s176, s177)) | node14(s176, s177))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s176, s177)) | node14(s176, s177))),
% 5.01/3.93 inference(rewrite,[status(thm)],[])).
% 5.01/3.93 tff(14366,plain,
% 5.01/3.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s176, s177)) | node14(s176, s177))),
% 5.01/3.93 inference(quant_inst,[status(thm)],[])).
% 5.01/3.93 tff(14367,plain,
% 5.01/3.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s176, s177)) | node14(s176, s177)),
% 5.01/3.93 inference(modus_ponens,[status(thm)],[14366, 14365])).
% 5.01/3.93 tff(14368,plain,
% 5.01/3.93 (node14(s176, s177)),
% 5.01/3.93 inference(unit_resolution,[status(thm)],[14367, 46, 14324])).
% 5.01/3.93 tff(14369,plain,
% 5.01/3.93 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s177, c_n2) | node9(s176) | node8(s176) | node10(s176) | node11(s176) | node12(s176) | (~node14(s176, s177)) | (~m_main_v_state2(s176, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s177, c_n2) | node9(s176) | node8(s176) | node10(s176) | node11(s176) | node12(s176) | (~node14(s176, s177)) | (~m_main_v_state2(s176, c_c2)))),
% 5.01/3.93 inference(rewrite,[status(thm)],[])).
% 5.01/3.93 tff(14370,plain,
% 5.01/3.93 (((~m_main_v_state2(s176, c_c2)) | node9(s176) | node8(s176) | node10(s176) | node11(s176) | node12(s176) | (~node14(s176, s177)) | m_main_v_state2(s177, c_n2)) <=> (m_main_v_state2(s177, c_n2) | node9(s176) | node8(s176) | node10(s176) | node11(s176) | node12(s176) | (~node14(s176, s177)) | (~m_main_v_state2(s176, c_c2)))),
% 5.01/3.93 inference(rewrite,[status(thm)],[])).
% 5.01/3.93 tff(14371,plain,
% 5.01/3.93 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s176, c_c2)) | node9(s176) | node8(s176) | node10(s176) | node11(s176) | node12(s176) | (~node14(s176, s177)) | m_main_v_state2(s177, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s177, c_n2) | node9(s176) | node8(s176) | node10(s176) | node11(s176) | node12(s176) | (~node14(s176, s177)) | (~m_main_v_state2(s176, c_c2))))),
% 5.09/3.93 inference(monotonicity,[status(thm)],[14370])).
% 5.09/3.93 tff(14372,plain,
% 5.09/3.93 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s176, c_c2)) | node9(s176) | node8(s176) | node10(s176) | node11(s176) | node12(s176) | (~node14(s176, s177)) | m_main_v_state2(s177, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s177, c_n2) | node9(s176) | node8(s176) | node10(s176) | node11(s176) | node12(s176) | (~node14(s176, s177)) | (~m_main_v_state2(s176, c_c2)))),
% 5.09/3.93 inference(transitivity,[status(thm)],[14371, 14369])).
% 5.09/3.93 tff(14373,plain,
% 5.09/3.93 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s176, c_c2)) | node9(s176) | node8(s176) | node10(s176) | node11(s176) | node12(s176) | (~node14(s176, s177)) | m_main_v_state2(s177, c_n2))),
% 5.09/3.93 inference(quant_inst,[status(thm)],[])).
% 5.09/3.93 tff(14374,plain,
% 5.09/3.93 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s177, c_n2) | node9(s176) | node8(s176) | node10(s176) | node11(s176) | node12(s176) | (~node14(s176, s177)) | (~m_main_v_state2(s176, c_c2))),
% 5.09/3.93 inference(modus_ponens,[status(thm)],[14373, 14372])).
% 5.09/3.93 tff(14375,plain,
% 5.09/3.93 (m_main_v_state2(s177, c_n2) | node9(s176) | node8(s176) | node10(s176) | node11(s176) | node12(s176) | (~m_main_v_state2(s176, c_c2))),
% 5.09/3.93 inference(unit_resolution,[status(thm)],[14374, 726, 14368])).
% 5.09/3.93 tff(14376,plain,
% 5.09/3.93 (m_main_v_state2(s177, c_n2)),
% 5.09/3.93 inference(unit_resolution,[status(thm)],[14375, 14364, 14309, 14360, 14356, 14352, 14348])).
% 5.09/3.93 tff(14377,plain,
% 5.09/3.93 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s177, c_n2)) | (~m_main_v_state2(s177, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s177, c_n2)) | (~m_main_v_state2(s177, c_t2)))),
% 5.09/3.93 inference(rewrite,[status(thm)],[])).
% 5.09/3.93 tff(14378,plain,
% 5.09/3.93 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s177, c_n2)) | (~m_main_v_state2(s177, c_t2)))),
% 5.09/3.93 inference(quant_inst,[status(thm)],[])).
% 5.09/3.93 tff(14379,plain,
% 5.09/3.93 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s177, c_n2)) | (~m_main_v_state2(s177, c_t2))),
% 5.09/3.93 inference(modus_ponens,[status(thm)],[14378, 14377])).
% 5.09/3.93 tff(14380,plain,
% 5.09/3.93 (~m_main_v_state2(s177, c_t2)),
% 5.09/3.93 inference(unit_resolution,[status(thm)],[14379, 77, 14376])).
% 5.09/3.93 tff(14381,plain,
% 5.09/3.93 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s177, c_t2) | (~node15(s177)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s177, c_t2) | (~node15(s177)))),
% 5.09/3.93 inference(rewrite,[status(thm)],[])).
% 5.09/3.93 tff(14382,plain,
% 5.09/3.93 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s177, c_t2) | (~node15(s177)))),
% 5.09/3.93 inference(quant_inst,[status(thm)],[])).
% 5.09/3.93 tff(14383,plain,
% 5.09/3.93 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s177, c_t2) | (~node15(s177))),
% 5.09/3.93 inference(modus_ponens,[status(thm)],[14382, 14381])).
% 5.09/3.93 tff(14384,plain,
% 5.09/3.93 (~node15(s177)),
% 5.09/3.93 inference(unit_resolution,[status(thm)],[14383, 103, 14380])).
% 5.09/3.93 tff(14385,plain,
% 5.09/3.93 (succ(s177, s178) <=> succ(s177, s178)),
% 5.09/3.93 inference(rewrite,[status(thm)],[])).
% 5.09/3.93 tff(14386,axiom,(succ(s177, s178)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound178')).
% 5.09/3.93 tff(14387,plain,
% 5.09/3.93 (succ(s177, s178)),
% 5.09/3.94 inference(modus_ponens,[status(thm)],[14386, 14385])).
% 5.09/3.94 tff(14388,plain,
% 5.09/3.94 (((~![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))),
% 5.09/3.94 inference(rewrite,[status(thm)],[])).
% 5.09/3.94 tff(14389,plain,
% 5.09/3.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s177, s178)) | trans(s177, s178))),
% 5.09/3.94 inference(quant_inst,[status(thm)],[])).
% 5.09/3.94 tff(14390,plain,
% 5.09/3.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s177, s178)) | trans(s177, s178)),
% 5.09/3.94 inference(modus_ponens,[status(thm)],[14389, 14388])).
% 5.09/3.94 tff(14391,plain,
% 5.09/3.94 (trans(s177, s178)),
% 5.09/3.94 inference(unit_resolution,[status(thm)],[14390, 14387, 32])).
% 5.09/3.94 tff(14392,plain,
% 5.09/3.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s177, s178)) | node18(s177, s178))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s177, s178)) | node18(s177, s178))),
% 5.09/3.94 inference(rewrite,[status(thm)],[])).
% 5.09/3.94 tff(14393,plain,
% 5.09/3.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s177, s178)) | node18(s177, s178))),
% 5.09/3.94 inference(quant_inst,[status(thm)],[])).
% 5.09/3.94 tff(14394,plain,
% 5.09/3.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s177, s178)) | node18(s177, s178)),
% 5.09/3.94 inference(modus_ponens,[status(thm)],[14393, 14392])).
% 5.09/3.94 tff(14395,plain,
% 5.09/3.94 (node18(s177, s178)),
% 5.09/3.94 inference(unit_resolution,[status(thm)],[14394, 125, 14391])).
% 5.09/3.94 tff(14396,plain,
% 5.09/3.94 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s177) | (~node18(s177, s178)) | (~m_main_v_state1(s177, c_t1)) | (~m_main_v_state2(s177, c_n2)) | m_main_v_turn(s178, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s177) | (~node18(s177, s178)) | (~m_main_v_state1(s177, c_t1)) | (~m_main_v_state2(s177, c_n2)) | m_main_v_turn(s178, c_1))),
% 5.09/3.94 inference(rewrite,[status(thm)],[])).
% 5.09/3.94 tff(14397,plain,
% 5.09/3.94 (((~m_main_v_state1(s177, c_t1)) | (~m_main_v_state2(s177, c_n2)) | node15(s177) | (~node18(s177, s178)) | m_main_v_turn(s178, c_1)) <=> (node15(s177) | (~node18(s177, s178)) | (~m_main_v_state1(s177, c_t1)) | (~m_main_v_state2(s177, c_n2)) | m_main_v_turn(s178, c_1))),
% 5.09/3.94 inference(rewrite,[status(thm)],[])).
% 5.09/3.94 tff(14398,plain,
% 5.09/3.94 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s177, c_t1)) | (~m_main_v_state2(s177, c_n2)) | node15(s177) | (~node18(s177, s178)) | m_main_v_turn(s178, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s177) | (~node18(s177, s178)) | (~m_main_v_state1(s177, c_t1)) | (~m_main_v_state2(s177, c_n2)) | m_main_v_turn(s178, c_1)))),
% 5.09/3.94 inference(monotonicity,[status(thm)],[14397])).
% 5.09/3.94 tff(14399,plain,
% 5.09/3.94 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s177, c_t1)) | (~m_main_v_state2(s177, c_n2)) | node15(s177) | (~node18(s177, s178)) | m_main_v_turn(s178, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s177) | (~node18(s177, s178)) | (~m_main_v_state1(s177, c_t1)) | (~m_main_v_state2(s177, c_n2)) | m_main_v_turn(s178, c_1))),
% 5.09/3.94 inference(transitivity,[status(thm)],[14398, 14396])).
% 5.09/3.94 tff(14400,plain,
% 5.09/3.94 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s177, c_t1)) | (~m_main_v_state2(s177, c_n2)) | node15(s177) | (~node18(s177, s178)) | m_main_v_turn(s178, c_1))),
% 5.09/3.94 inference(quant_inst,[status(thm)],[])).
% 5.09/3.94 tff(14401,plain,
% 5.09/3.94 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s177) | (~node18(s177, s178)) | (~m_main_v_state1(s177, c_t1)) | (~m_main_v_state2(s177, c_n2)) | m_main_v_turn(s178, c_1)),
% 5.09/3.94 inference(modus_ponens,[status(thm)],[14400, 14399])).
% 5.09/3.94 tff(14402,plain,
% 5.09/3.94 (node15(s177) | (~m_main_v_state1(s177, c_t1)) | (~m_main_v_state2(s177, c_n2)) | m_main_v_turn(s178, c_1)),
% 5.09/3.94 inference(unit_resolution,[status(thm)],[14401, 992, 14395])).
% 5.09/3.94 tff(14403,plain,
% 5.09/3.94 (m_main_v_turn(s178, c_1)),
% 5.09/3.94 inference(unit_resolution,[status(thm)],[14402, 14384, 14376, 14340])).
% 5.09/3.94 tff(14404,plain,
% 5.09/3.94 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s178, c_1)) | (~m_main_v_turn(s178, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s178, c_1)) | (~m_main_v_turn(s178, c_2)))),
% 5.09/3.94 inference(rewrite,[status(thm)],[])).
% 5.09/3.94 tff(14405,plain,
% 5.09/3.94 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s178, c_1)) | (~m_main_v_turn(s178, c_2)))),
% 5.09/3.94 inference(quant_inst,[status(thm)],[])).
% 5.09/3.94 tff(14406,plain,
% 5.09/3.94 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s178, c_1)) | (~m_main_v_turn(s178, c_2))),
% 5.09/3.94 inference(modus_ponens,[status(thm)],[14405, 14404])).
% 5.09/3.94 tff(14407,plain,
% 5.09/3.94 (~m_main_v_turn(s178, c_2)),
% 5.09/3.94 inference(unit_resolution,[status(thm)],[14406, 156, 14403])).
% 5.09/3.94 tff(14408,plain,
% 5.09/3.94 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s178, c_2) | (~node12(s178)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s178, c_2) | (~node12(s178)))),
% 5.09/3.94 inference(rewrite,[status(thm)],[])).
% 5.09/3.94 tff(14409,plain,
% 5.09/3.94 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s178, c_2) | (~node12(s178)))),
% 5.09/3.94 inference(quant_inst,[status(thm)],[])).
% 5.09/3.94 tff(14410,plain,
% 5.09/3.94 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s178, c_2) | (~node12(s178))),
% 5.09/3.94 inference(modus_ponens,[status(thm)],[14409, 14408])).
% 5.09/3.94 tff(14411,plain,
% 5.09/3.94 (~node12(s178)),
% 5.09/3.94 inference(unit_resolution,[status(thm)],[14410, 184, 14407])).
% 5.09/3.94 tff(14412,plain,
% 5.09/3.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s177, s178)) | node14(s177, s178))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s177, s178)) | node14(s177, s178))),
% 5.09/3.94 inference(rewrite,[status(thm)],[])).
% 5.09/3.94 tff(14413,plain,
% 5.09/3.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s177, s178)) | node14(s177, s178))),
% 5.09/3.94 inference(quant_inst,[status(thm)],[])).
% 5.09/3.94 tff(14414,plain,
% 5.09/3.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s177, s178)) | node14(s177, s178)),
% 5.09/3.94 inference(modus_ponens,[status(thm)],[14413, 14412])).
% 5.09/3.94 tff(14415,plain,
% 5.09/3.94 (node14(s177, s178)),
% 5.09/3.94 inference(unit_resolution,[status(thm)],[14414, 46, 14391])).
% 5.09/3.94 tff(14416,plain,
% 5.09/3.94 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s177, c_t1)) | (~m_main_v_state2(s177, c_n2)) | (~node14(s177, s178)) | m_main_v_state2(s178, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s177, c_t1)) | (~m_main_v_state2(s177, c_n2)) | (~node14(s177, s178)) | m_main_v_state2(s178, c_t2))),
% 5.09/3.94 inference(rewrite,[status(thm)],[])).
% 5.09/3.94 tff(14417,plain,
% 5.09/3.94 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s177, c_t1)) | (~m_main_v_state2(s177, c_n2)) | (~node14(s177, s178)) | m_main_v_state2(s178, c_t2))),
% 5.09/3.94 inference(quant_inst,[status(thm)],[])).
% 5.09/3.94 tff(14418,plain,
% 5.09/3.94 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s177, c_t1)) | (~m_main_v_state2(s177, c_n2)) | (~node14(s177, s178)) | m_main_v_state2(s178, c_t2)),
% 5.09/3.94 inference(modus_ponens,[status(thm)],[14417, 14416])).
% 5.09/3.94 tff(14419,plain,
% 5.09/3.94 ((~m_main_v_state1(s177, c_t1)) | (~m_main_v_state2(s177, c_n2)) | m_main_v_state2(s178, c_t2)),
% 5.09/3.94 inference(unit_resolution,[status(thm)],[14418, 922, 14415])).
% 5.09/3.94 tff(14420,plain,
% 5.09/3.94 (m_main_v_state2(s178, c_t2)),
% 5.09/3.94 inference(unit_resolution,[status(thm)],[14419, 14340, 14376])).
% 5.09/3.94 tff(14421,plain,
% 5.09/3.94 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s178, c_n2)) | (~m_main_v_state2(s178, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s178, c_n2)) | (~m_main_v_state2(s178, c_t2)))),
% 5.09/3.94 inference(rewrite,[status(thm)],[])).
% 5.09/3.94 tff(14422,plain,
% 5.09/3.94 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s178, c_n2)) | (~m_main_v_state2(s178, c_t2)))),
% 5.09/3.94 inference(quant_inst,[status(thm)],[])).
% 5.09/3.94 tff(14423,plain,
% 5.09/3.94 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s178, c_n2)) | (~m_main_v_state2(s178, c_t2))),
% 5.09/3.94 inference(modus_ponens,[status(thm)],[14422, 14421])).
% 5.09/3.94 tff(14424,plain,
% 5.09/3.94 (~m_main_v_state2(s178, c_n2)),
% 5.09/3.94 inference(unit_resolution,[status(thm)],[14423, 77, 14420])).
% 5.09/3.94 tff(14425,plain,
% 5.09/3.94 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s178, c_n2) | (~node8(s178)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s178, c_n2) | (~node8(s178)))),
% 5.09/3.94 inference(rewrite,[status(thm)],[])).
% 5.09/3.94 tff(14426,plain,
% 5.09/3.94 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s178, c_n2) | (~node8(s178)))),
% 5.09/3.94 inference(quant_inst,[status(thm)],[])).
% 5.09/3.94 tff(14427,plain,
% 5.09/3.94 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s178, c_n2) | (~node8(s178))),
% 5.09/3.94 inference(modus_ponens,[status(thm)],[14426, 14425])).
% 5.09/3.94 tff(14428,plain,
% 5.09/3.94 (~node8(s178)),
% 5.09/3.94 inference(unit_resolution,[status(thm)],[14427, 271, 14424])).
% 5.09/3.94 tff(14429,plain,
% 5.09/3.94 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s178, c_n2) | (~node9(s178)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s178, c_n2) | (~node9(s178)))),
% 5.09/3.94 inference(rewrite,[status(thm)],[])).
% 5.09/3.94 tff(14430,plain,
% 5.09/3.94 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s178, c_n2) | (~node9(s178)))),
% 5.09/3.94 inference(quant_inst,[status(thm)],[])).
% 5.09/3.94 tff(14431,plain,
% 5.09/3.94 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s178, c_n2) | (~node9(s178))),
% 5.09/3.94 inference(modus_ponens,[status(thm)],[14430, 14429])).
% 5.09/3.94 tff(14432,plain,
% 5.09/3.94 (~node9(s178)),
% 5.09/3.94 inference(unit_resolution,[status(thm)],[14431, 88, 14424])).
% 5.09/3.94 tff(14433,plain,
% 5.09/3.94 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s178, c_n2) | (~node10(s178)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s178, c_n2) | (~node10(s178)))),
% 5.09/3.94 inference(rewrite,[status(thm)],[])).
% 5.09/3.94 tff(14434,plain,
% 5.09/3.94 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s178, c_n2) | (~node10(s178)))),
% 5.09/3.94 inference(quant_inst,[status(thm)],[])).
% 5.09/3.94 tff(14435,plain,
% 5.09/3.94 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s178, c_n2) | (~node10(s178))),
% 5.09/3.94 inference(modus_ponens,[status(thm)],[14434, 14433])).
% 5.09/3.94 tff(14436,plain,
% 5.09/3.94 (~node10(s178)),
% 5.09/3.94 inference(unit_resolution,[status(thm)],[14435, 249, 14424])).
% 5.09/3.94 tff(14437,plain,
% 5.09/3.94 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s178, c_t2)) | (~m_main_v_state2(s178, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s178, c_t2)) | (~m_main_v_state2(s178, c_c2)))),
% 5.09/3.94 inference(rewrite,[status(thm)],[])).
% 5.09/3.94 tff(14438,plain,
% 5.09/3.94 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s178, c_t2)) | (~m_main_v_state2(s178, c_c2)))),
% 5.09/3.94 inference(quant_inst,[status(thm)],[])).
% 5.09/3.94 tff(14439,plain,
% 5.09/3.94 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s178, c_t2)) | (~m_main_v_state2(s178, c_c2))),
% 5.09/3.94 inference(modus_ponens,[status(thm)],[14438, 14437])).
% 5.09/3.94 tff(14440,plain,
% 5.09/3.94 (~m_main_v_state2(s178, c_c2)),
% 5.09/3.94 inference(unit_resolution,[status(thm)],[14439, 260, 14420])).
% 5.09/3.94 tff(14441,plain,
% 5.09/3.94 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s177, c_n2)) | (~m_main_v_state2(s177, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s177, c_n2)) | (~m_main_v_state2(s177, c_c2)))),
% 5.09/3.94 inference(rewrite,[status(thm)],[])).
% 5.09/3.94 tff(14442,plain,
% 5.09/3.94 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s177, c_n2)) | (~m_main_v_state2(s177, c_c2)))),
% 5.09/3.94 inference(quant_inst,[status(thm)],[])).
% 5.09/3.94 tff(14443,plain,
% 5.09/3.94 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s177, c_n2)) | (~m_main_v_state2(s177, c_c2))),
% 5.09/3.94 inference(modus_ponens,[status(thm)],[14442, 14441])).
% 5.09/3.94 tff(14444,plain,
% 5.09/3.94 (~m_main_v_state2(s177, c_c2)),
% 5.09/3.94 inference(unit_resolution,[status(thm)],[14443, 697, 14376])).
% 5.09/3.94 tff(14445,plain,
% 5.09/3.94 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s177, c_c2) | (~node3(s177)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s177, c_c2) | (~node3(s177)))),
% 5.09/3.94 inference(rewrite,[status(thm)],[])).
% 5.09/3.94 tff(14446,plain,
% 5.09/3.94 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s177, c_c2) | (~node3(s177)))),
% 5.09/3.94 inference(quant_inst,[status(thm)],[])).
% 5.09/3.94 tff(14447,plain,
% 5.09/3.94 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s177, c_c2) | (~node3(s177))),
% 5.09/3.94 inference(modus_ponens,[status(thm)],[14446, 14445])).
% 5.09/3.94 tff(14448,plain,
% 5.09/3.94 (~node3(s177)),
% 5.09/3.94 inference(unit_resolution,[status(thm)],[14447, 399, 14444])).
% 5.09/3.94 tff(14449,plain,
% 5.09/3.94 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s176, c_n1) | (~m_main_v_state1(s177, c_n1)) | (~node6(s176, s177)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s176, c_n1) | (~m_main_v_state1(s177, c_n1)) | (~node6(s176, s177)))),
% 5.09/3.94 inference(rewrite,[status(thm)],[])).
% 5.09/3.94 tff(14450,plain,
% 5.09/3.94 (((~node6(s176, s177)) | m_main_v_state1(s176, c_n1) | (~m_main_v_state1(s177, c_n1))) <=> (m_main_v_state1(s176, c_n1) | (~m_main_v_state1(s177, c_n1)) | (~node6(s176, s177)))),
% 5.09/3.94 inference(rewrite,[status(thm)],[])).
% 5.09/3.94 tff(14451,plain,
% 5.09/3.94 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s176, s177)) | m_main_v_state1(s176, c_n1) | (~m_main_v_state1(s177, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s176, c_n1) | (~m_main_v_state1(s177, c_n1)) | (~node6(s176, s177))))),
% 5.09/3.94 inference(monotonicity,[status(thm)],[14450])).
% 5.09/3.94 tff(14452,plain,
% 5.09/3.94 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s176, s177)) | m_main_v_state1(s176, c_n1) | (~m_main_v_state1(s177, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s176, c_n1) | (~m_main_v_state1(s177, c_n1)) | (~node6(s176, s177)))),
% 5.09/3.94 inference(transitivity,[status(thm)],[14451, 14449])).
% 5.09/3.94 tff(14453,plain,
% 5.09/3.94 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s176, s177)) | m_main_v_state1(s176, c_n1) | (~m_main_v_state1(s177, c_n1)))),
% 5.09/3.94 inference(quant_inst,[status(thm)],[])).
% 5.09/3.94 tff(14454,plain,
% 5.09/3.94 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s176, c_n1) | (~m_main_v_state1(s177, c_n1)) | (~node6(s176, s177))),
% 5.09/3.94 inference(modus_ponens,[status(thm)],[14453, 14452])).
% 5.09/3.94 tff(14455,plain,
% 5.09/3.94 (~m_main_v_state1(s177, c_n1)),
% 5.09/3.94 inference(unit_resolution,[status(thm)],[14454, 835, 14248, 14333])).
% 5.09/3.94 tff(14456,plain,
% 5.09/3.94 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s177, c_n1) | (~node2(s177)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s177, c_n1) | (~node2(s177)))),
% 5.09/3.94 inference(rewrite,[status(thm)],[])).
% 5.09/3.94 tff(14457,plain,
% 5.09/3.94 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s177, c_n1) | (~node2(s177)))),
% 5.09/3.94 inference(quant_inst,[status(thm)],[])).
% 5.09/3.94 tff(14458,plain,
% 5.09/3.94 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s177, c_n1) | (~node2(s177))),
% 5.09/3.94 inference(modus_ponens,[status(thm)],[14457, 14456])).
% 5.09/3.94 tff(14459,plain,
% 5.09/3.94 (~node2(s177)),
% 5.09/3.94 inference(unit_resolution,[status(thm)],[14458, 787, 14455])).
% 5.09/3.94 tff(14460,plain,
% 5.09/3.94 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s177, c_t2) | (~node1(s177)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s177, c_t2) | (~node1(s177)))),
% 5.09/3.94 inference(rewrite,[status(thm)],[])).
% 5.09/3.94 tff(14461,plain,
% 5.09/3.94 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s177, c_t2) | (~node1(s177)))),
% 5.09/3.94 inference(quant_inst,[status(thm)],[])).
% 5.09/3.94 tff(14462,plain,
% 5.09/3.94 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s177, c_t2) | (~node1(s177))),
% 5.09/3.94 inference(modus_ponens,[status(thm)],[14461, 14460])).
% 5.09/3.94 tff(14463,plain,
% 5.09/3.94 (~node1(s177)),
% 5.09/3.94 inference(unit_resolution,[status(thm)],[14462, 195, 14380])).
% 5.09/3.94 tff(14464,plain,
% 5.09/3.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s177, s178)) | node7(s177, s178))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s177, s178)) | node7(s177, s178))),
% 5.09/3.94 inference(rewrite,[status(thm)],[])).
% 5.09/3.94 tff(14465,plain,
% 5.09/3.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s177, s178)) | node7(s177, s178))),
% 5.09/3.94 inference(quant_inst,[status(thm)],[])).
% 5.09/3.94 tff(14466,plain,
% 5.09/3.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s177, s178)) | node7(s177, s178)),
% 5.09/3.94 inference(modus_ponens,[status(thm)],[14465, 14464])).
% 5.09/3.94 tff(14467,plain,
% 5.09/3.94 (node7(s177, s178)),
% 5.09/3.94 inference(unit_resolution,[status(thm)],[14466, 206, 14391])).
% 5.09/3.94 tff(14468,plain,
% 5.09/3.94 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s177, c_t1)) | (~m_main_v_state2(s177, c_n2)) | m_main_v_state1(s178, c_c1) | node1(s177) | node2(s177) | node3(s177) | (~node7(s177, s178)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s177, c_t1)) | (~m_main_v_state2(s177, c_n2)) | m_main_v_state1(s178, c_c1) | node1(s177) | node2(s177) | node3(s177) | (~node7(s177, s178)))),
% 5.09/3.94 inference(rewrite,[status(thm)],[])).
% 5.09/3.94 tff(14469,plain,
% 5.09/3.94 (((~m_main_v_state1(s177, c_t1)) | (~m_main_v_state2(s177, c_n2)) | node1(s177) | node2(s177) | node3(s177) | (~node7(s177, s178)) | m_main_v_state1(s178, c_c1)) <=> ((~m_main_v_state1(s177, c_t1)) | (~m_main_v_state2(s177, c_n2)) | m_main_v_state1(s178, c_c1) | node1(s177) | node2(s177) | node3(s177) | (~node7(s177, s178)))),
% 5.09/3.94 inference(rewrite,[status(thm)],[])).
% 5.09/3.94 tff(14470,plain,
% 5.09/3.94 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s177, c_t1)) | (~m_main_v_state2(s177, c_n2)) | node1(s177) | node2(s177) | node3(s177) | (~node7(s177, s178)) | m_main_v_state1(s178, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s177, c_t1)) | (~m_main_v_state2(s177, c_n2)) | m_main_v_state1(s178, c_c1) | node1(s177) | node2(s177) | node3(s177) | (~node7(s177, s178))))),
% 5.09/3.94 inference(monotonicity,[status(thm)],[14469])).
% 5.09/3.94 tff(14471,plain,
% 5.09/3.94 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s177, c_t1)) | (~m_main_v_state2(s177, c_n2)) | node1(s177) | node2(s177) | node3(s177) | (~node7(s177, s178)) | m_main_v_state1(s178, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s177, c_t1)) | (~m_main_v_state2(s177, c_n2)) | m_main_v_state1(s178, c_c1) | node1(s177) | node2(s177) | node3(s177) | (~node7(s177, s178)))),
% 5.09/3.94 inference(transitivity,[status(thm)],[14470, 14468])).
% 5.09/3.94 tff(14472,plain,
% 5.09/3.94 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s177, c_t1)) | (~m_main_v_state2(s177, c_n2)) | node1(s177) | node2(s177) | node3(s177) | (~node7(s177, s178)) | m_main_v_state1(s178, c_c1))),
% 5.09/3.94 inference(quant_inst,[status(thm)],[])).
% 5.09/3.94 tff(14473,plain,
% 5.09/3.94 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s177, c_t1)) | (~m_main_v_state2(s177, c_n2)) | m_main_v_state1(s178, c_c1) | node1(s177) | node2(s177) | node3(s177) | (~node7(s177, s178))),
% 5.09/3.94 inference(modus_ponens,[status(thm)],[14472, 14471])).
% 5.09/3.94 tff(14474,plain,
% 5.09/3.94 ((~m_main_v_state1(s177, c_t1)) | (~m_main_v_state2(s177, c_n2)) | m_main_v_state1(s178, c_c1) | node1(s177) | node2(s177) | node3(s177)),
% 5.09/3.94 inference(unit_resolution,[status(thm)],[14473, 892, 14467])).
% 5.09/3.94 tff(14475,plain,
% 5.09/3.94 (m_main_v_state1(s178, c_c1)),
% 5.09/3.94 inference(unit_resolution,[status(thm)],[14474, 14463, 14376, 14340, 14459, 14448])).
% 5.09/3.94 tff(14476,plain,
% 5.09/3.94 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s178, c_n1)) | (~m_main_v_state1(s178, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s178, c_n1)) | (~m_main_v_state1(s178, c_c1)))),
% 5.09/3.94 inference(rewrite,[status(thm)],[])).
% 5.09/3.94 tff(14477,plain,
% 5.09/3.94 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s178, c_n1)) | (~m_main_v_state1(s178, c_c1)))),
% 5.09/3.94 inference(quant_inst,[status(thm)],[])).
% 5.09/3.94 tff(14478,plain,
% 5.09/3.94 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s178, c_n1)) | (~m_main_v_state1(s178, c_c1))),
% 5.09/3.94 inference(modus_ponens,[status(thm)],[14477, 14476])).
% 5.09/3.94 tff(14479,plain,
% 5.09/3.94 (~m_main_v_state1(s178, c_n1)),
% 5.09/3.94 inference(unit_resolution,[status(thm)],[14478, 454, 14475])).
% 5.09/3.94 tff(14480,plain,
% 5.09/3.94 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s178, c_n1) | (~node11(s178)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s178, c_n1) | (~node11(s178)))),
% 5.09/3.94 inference(rewrite,[status(thm)],[])).
% 5.09/3.94 tff(14481,plain,
% 5.09/3.94 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s178, c_n1) | (~node11(s178)))),
% 5.09/3.94 inference(quant_inst,[status(thm)],[])).
% 5.09/3.94 tff(14482,plain,
% 5.09/3.94 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s178, c_n1) | (~node11(s178))),
% 5.09/3.94 inference(modus_ponens,[status(thm)],[14481, 14480])).
% 5.09/3.94 tff(14483,plain,
% 5.09/3.94 (~node11(s178)),
% 5.09/3.94 inference(unit_resolution,[status(thm)],[14482, 238, 14479])).
% 5.09/3.94 tff(14484,plain,
% 5.09/3.94 (succ(s178, s179) <=> succ(s178, s179)),
% 5.09/3.94 inference(rewrite,[status(thm)],[])).
% 5.09/3.94 tff(14485,axiom,(succ(s178, s179)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound179')).
% 5.09/3.94 tff(14486,plain,
% 5.09/3.94 (succ(s178, s179)),
% 5.09/3.94 inference(modus_ponens,[status(thm)],[14485, 14484])).
% 5.09/3.94 tff(14487,plain,
% 5.09/3.94 (((~![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))),
% 5.09/3.94 inference(rewrite,[status(thm)],[])).
% 5.09/3.94 tff(14488,plain,
% 5.09/3.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s178, s179)) | trans(s178, s179))),
% 5.09/3.94 inference(quant_inst,[status(thm)],[])).
% 5.09/3.94 tff(14489,plain,
% 5.09/3.94 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s178, s179)) | trans(s178, s179)),
% 5.09/3.94 inference(modus_ponens,[status(thm)],[14488, 14487])).
% 5.09/3.94 tff(14490,plain,
% 5.09/3.94 (trans(s178, s179)),
% 5.09/3.94 inference(unit_resolution,[status(thm)],[14489, 14486, 32])).
% 5.09/3.94 tff(14491,plain,
% 5.09/3.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s178, s179)) | node14(s178, s179))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s178, s179)) | node14(s178, s179))),
% 5.09/3.94 inference(rewrite,[status(thm)],[])).
% 5.09/3.94 tff(14492,plain,
% 5.09/3.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s178, s179)) | node14(s178, s179))),
% 5.09/3.94 inference(quant_inst,[status(thm)],[])).
% 5.09/3.94 tff(14493,plain,
% 5.09/3.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s178, s179)) | node14(s178, s179)),
% 5.09/3.94 inference(modus_ponens,[status(thm)],[14492, 14491])).
% 5.09/3.94 tff(14494,plain,
% 5.09/3.94 (node14(s178, s179)),
% 5.09/3.94 inference(unit_resolution,[status(thm)],[14493, 46, 14490])).
% 5.09/3.94 tff(14495,plain,
% 5.09/3.94 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s178, c_c2) | node9(s178) | node8(s178) | node10(s178) | node11(s178) | node12(s178) | node13(s178, s179) | (~node14(s178, s179)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s178, c_c2) | node9(s178) | node8(s178) | node10(s178) | node11(s178) | node12(s178) | node13(s178, s179) | (~node14(s178, s179)))),
% 5.09/3.94 inference(rewrite,[status(thm)],[])).
% 5.09/3.94 tff(14496,plain,
% 5.09/3.94 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s178, c_c2) | node9(s178) | node8(s178) | node10(s178) | node11(s178) | node12(s178) | node13(s178, s179) | (~node14(s178, s179)))),
% 5.09/3.94 inference(quant_inst,[status(thm)],[])).
% 5.09/3.94 tff(14497,plain,
% 5.09/3.94 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s178, c_c2) | node9(s178) | node8(s178) | node10(s178) | node11(s178) | node12(s178) | node13(s178, s179) | (~node14(s178, s179))),
% 5.09/3.94 inference(modus_ponens,[status(thm)],[14496, 14495])).
% 5.09/3.94 tff(14498,plain,
% 5.09/3.94 (m_main_v_state2(s178, c_c2) | node9(s178) | node8(s178) | node10(s178) | node11(s178) | node12(s178) | node13(s178, s179)),
% 5.09/3.94 inference(unit_resolution,[status(thm)],[14497, 296, 14494])).
% 5.09/3.94 tff(14499,plain,
% 5.09/3.94 (node13(s178, s179)),
% 5.09/3.94 inference(unit_resolution,[status(thm)],[14498, 14483, 14440, 14436, 14432, 14428, 14411])).
% 5.09/3.94 tff(14500,plain,
% 5.09/3.94 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s178, c_n2) | (~m_main_v_state2(s179, c_n2)) | (~node13(s178, s179)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s178, c_n2) | (~m_main_v_state2(s179, c_n2)) | (~node13(s178, s179)))),
% 5.09/3.94 inference(rewrite,[status(thm)],[])).
% 5.09/3.94 tff(14501,plain,
% 5.09/3.94 (((~node13(s178, s179)) | m_main_v_state2(s178, c_n2) | (~m_main_v_state2(s179, c_n2))) <=> (m_main_v_state2(s178, c_n2) | (~m_main_v_state2(s179, c_n2)) | (~node13(s178, s179)))),
% 5.09/3.94 inference(rewrite,[status(thm)],[])).
% 5.09/3.94 tff(14502,plain,
% 5.09/3.94 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s178, s179)) | m_main_v_state2(s178, c_n2) | (~m_main_v_state2(s179, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s178, c_n2) | (~m_main_v_state2(s179, c_n2)) | (~node13(s178, s179))))),
% 5.09/3.94 inference(monotonicity,[status(thm)],[14501])).
% 5.09/3.95 tff(14503,plain,
% 5.09/3.95 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s178, s179)) | m_main_v_state2(s178, c_n2) | (~m_main_v_state2(s179, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s178, c_n2) | (~m_main_v_state2(s179, c_n2)) | (~node13(s178, s179)))),
% 5.09/3.95 inference(transitivity,[status(thm)],[14502, 14500])).
% 5.09/3.95 tff(14504,plain,
% 5.09/3.95 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s178, s179)) | m_main_v_state2(s178, c_n2) | (~m_main_v_state2(s179, c_n2)))),
% 5.09/3.95 inference(quant_inst,[status(thm)],[])).
% 5.09/3.95 tff(14505,plain,
% 5.09/3.95 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s178, c_n2) | (~m_main_v_state2(s179, c_n2)) | (~node13(s178, s179))),
% 5.09/3.95 inference(modus_ponens,[status(thm)],[14504, 14503])).
% 5.09/3.95 tff(14506,plain,
% 5.09/3.95 (~m_main_v_state2(s179, c_n2)),
% 5.09/3.95 inference(unit_resolution,[status(thm)],[14505, 311, 14424, 14499])).
% 5.09/3.95 tff(14507,plain,
% 5.09/3.95 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s179, c_n2) | (~node9(s179)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s179, c_n2) | (~node9(s179)))),
% 5.09/3.95 inference(rewrite,[status(thm)],[])).
% 5.09/3.95 tff(14508,plain,
% 5.09/3.95 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s179, c_n2) | (~node9(s179)))),
% 5.09/3.95 inference(quant_inst,[status(thm)],[])).
% 5.09/3.95 tff(14509,plain,
% 5.09/3.95 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s179, c_n2) | (~node9(s179))),
% 5.09/3.95 inference(modus_ponens,[status(thm)],[14508, 14507])).
% 5.09/3.95 tff(14510,plain,
% 5.09/3.95 (~node9(s179)),
% 5.09/3.95 inference(unit_resolution,[status(thm)],[14509, 88, 14506])).
% 5.09/3.95 tff(14511,plain,
% 5.09/3.95 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s179, c_n2) | (~node10(s179)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s179, c_n2) | (~node10(s179)))),
% 5.09/3.95 inference(rewrite,[status(thm)],[])).
% 5.09/3.95 tff(14512,plain,
% 5.09/3.95 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s179, c_n2) | (~node10(s179)))),
% 5.09/3.95 inference(quant_inst,[status(thm)],[])).
% 5.09/3.95 tff(14513,plain,
% 5.09/3.95 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s179, c_n2) | (~node10(s179))),
% 5.09/3.95 inference(modus_ponens,[status(thm)],[14512, 14511])).
% 5.09/3.95 tff(14514,plain,
% 5.09/3.95 (~node10(s179)),
% 5.09/3.95 inference(unit_resolution,[status(thm)],[14513, 249, 14506])).
% 5.09/3.95 tff(14515,plain,
% 5.09/3.95 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s178, c_t2)) | m_main_v_state2(s179, c_t2) | (~node13(s178, s179)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s178, c_t2)) | m_main_v_state2(s179, c_t2) | (~node13(s178, s179)))),
% 5.09/3.95 inference(rewrite,[status(thm)],[])).
% 5.09/3.95 tff(14516,plain,
% 5.09/3.95 (((~node13(s178, s179)) | (~m_main_v_state2(s178, c_t2)) | m_main_v_state2(s179, c_t2)) <=> ((~m_main_v_state2(s178, c_t2)) | m_main_v_state2(s179, c_t2) | (~node13(s178, s179)))),
% 5.09/3.95 inference(rewrite,[status(thm)],[])).
% 5.09/3.95 tff(14517,plain,
% 5.09/3.95 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s178, s179)) | (~m_main_v_state2(s178, c_t2)) | m_main_v_state2(s179, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s178, c_t2)) | m_main_v_state2(s179, c_t2) | (~node13(s178, s179))))),
% 5.09/3.95 inference(monotonicity,[status(thm)],[14516])).
% 5.09/3.95 tff(14518,plain,
% 5.09/3.95 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s178, s179)) | (~m_main_v_state2(s178, c_t2)) | m_main_v_state2(s179, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s178, c_t2)) | m_main_v_state2(s179, c_t2) | (~node13(s178, s179)))),
% 5.09/3.95 inference(transitivity,[status(thm)],[14517, 14515])).
% 5.09/3.95 tff(14519,plain,
% 5.09/3.95 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s178, s179)) | (~m_main_v_state2(s178, c_t2)) | m_main_v_state2(s179, c_t2))),
% 5.09/3.95 inference(quant_inst,[status(thm)],[])).
% 5.09/3.95 tff(14520,plain,
% 5.09/3.95 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s178, c_t2)) | m_main_v_state2(s179, c_t2) | (~node13(s178, s179))),
% 5.09/3.95 inference(modus_ponens,[status(thm)],[14519, 14518])).
% 5.09/3.95 tff(14521,plain,
% 5.09/3.95 (m_main_v_state2(s179, c_t2)),
% 5.09/3.95 inference(unit_resolution,[status(thm)],[14520, 518, 14420, 14499])).
% 5.09/3.95 tff(14522,plain,
% 5.09/3.95 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s178, c_t1)) | (~m_main_v_state1(s178, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s178, c_t1)) | (~m_main_v_state1(s178, c_c1)))),
% 5.09/3.95 inference(rewrite,[status(thm)],[])).
% 5.09/3.95 tff(14523,plain,
% 5.09/3.95 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s178, c_t1)) | (~m_main_v_state1(s178, c_c1)))),
% 5.09/3.95 inference(quant_inst,[status(thm)],[])).
% 5.09/3.95 tff(14524,plain,
% 5.09/3.95 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s178, c_t1)) | (~m_main_v_state1(s178, c_c1))),
% 5.09/3.95 inference(modus_ponens,[status(thm)],[14523, 14522])).
% 5.09/3.95 tff(14525,plain,
% 5.09/3.95 (~m_main_v_state1(s178, c_t1)),
% 5.09/3.95 inference(unit_resolution,[status(thm)],[14524, 539, 14475])).
% 5.09/3.95 tff(14526,plain,
% 5.09/3.95 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s178, c_t1) | (~node5(s178)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s178, c_t1) | (~node5(s178)))),
% 5.09/3.95 inference(rewrite,[status(thm)],[])).
% 5.09/3.95 tff(14527,plain,
% 5.09/3.95 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s178, c_t1) | (~node5(s178)))),
% 5.09/3.95 inference(quant_inst,[status(thm)],[])).
% 5.09/3.95 tff(14528,plain,
% 5.09/3.95 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s178, c_t1) | (~node5(s178))),
% 5.09/3.95 inference(modus_ponens,[status(thm)],[14527, 14526])).
% 5.09/3.95 tff(14529,plain,
% 5.09/3.95 (~node5(s178)),
% 5.09/3.95 inference(unit_resolution,[status(thm)],[14528, 550, 14525])).
% 5.09/3.95 tff(14530,plain,
% 5.09/3.95 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s178, c_n2) | (~node4(s178)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s178, c_n2) | (~node4(s178)))),
% 5.09/3.95 inference(rewrite,[status(thm)],[])).
% 5.09/3.95 tff(14531,plain,
% 5.09/3.95 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s178, c_n2) | (~node4(s178)))),
% 5.09/3.95 inference(quant_inst,[status(thm)],[])).
% 5.09/3.95 tff(14532,plain,
% 5.09/3.95 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s178, c_n2) | (~node4(s178))),
% 5.09/3.95 inference(modus_ponens,[status(thm)],[14531, 14530])).
% 5.09/3.95 tff(14533,plain,
% 5.09/3.95 (~node4(s178)),
% 5.09/3.95 inference(unit_resolution,[status(thm)],[14532, 388, 14424])).
% 5.09/3.95 tff(14534,plain,
% 5.09/3.95 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s178, c_c2) | (~node3(s178)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s178, c_c2) | (~node3(s178)))),
% 5.09/3.95 inference(rewrite,[status(thm)],[])).
% 5.09/3.95 tff(14535,plain,
% 5.09/3.95 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s178, c_c2) | (~node3(s178)))),
% 5.09/3.95 inference(quant_inst,[status(thm)],[])).
% 5.09/3.95 tff(14536,plain,
% 5.09/3.95 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s178, c_c2) | (~node3(s178))),
% 5.09/3.95 inference(modus_ponens,[status(thm)],[14535, 14534])).
% 5.09/3.95 tff(14537,plain,
% 5.09/3.95 (~node3(s178)),
% 5.09/3.95 inference(unit_resolution,[status(thm)],[14536, 399, 14440])).
% 5.09/3.95 tff(14538,plain,
% 5.09/3.95 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s178, c_n2) | (~node2(s178)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s178, c_n2) | (~node2(s178)))),
% 5.09/3.95 inference(rewrite,[status(thm)],[])).
% 5.09/3.95 tff(14539,plain,
% 5.09/3.95 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s178, c_n2) | (~node2(s178)))),
% 5.09/3.95 inference(quant_inst,[status(thm)],[])).
% 5.09/3.95 tff(14540,plain,
% 5.09/3.95 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s178, c_n2) | (~node2(s178))),
% 5.09/3.95 inference(modus_ponens,[status(thm)],[14539, 14538])).
% 5.09/3.95 tff(14541,plain,
% 5.09/3.95 (~node2(s178)),
% 5.09/3.95 inference(unit_resolution,[status(thm)],[14540, 410, 14424])).
% 5.09/3.95 tff(14542,plain,
% 5.09/3.95 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s178, c_n1) | (~node1(s178)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s178, c_n1) | (~node1(s178)))),
% 5.09/3.95 inference(rewrite,[status(thm)],[])).
% 5.09/3.95 tff(14543,plain,
% 5.09/3.95 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s178, c_n1) | (~node1(s178)))),
% 5.09/3.95 inference(quant_inst,[status(thm)],[])).
% 5.09/3.95 tff(14544,plain,
% 5.09/3.95 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s178, c_n1) | (~node1(s178))),
% 5.09/3.95 inference(modus_ponens,[status(thm)],[14543, 14542])).
% 5.09/3.95 tff(14545,plain,
% 5.09/3.95 (~node1(s178)),
% 5.09/3.95 inference(unit_resolution,[status(thm)],[14544, 421, 14479])).
% 5.09/3.95 tff(14546,plain,
% 5.09/3.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s178, s179)) | node7(s178, s179))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s178, s179)) | node7(s178, s179))),
% 5.09/3.95 inference(rewrite,[status(thm)],[])).
% 5.09/3.95 tff(14547,plain,
% 5.09/3.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s178, s179)) | node7(s178, s179))),
% 5.09/3.95 inference(quant_inst,[status(thm)],[])).
% 5.09/3.95 tff(14548,plain,
% 5.09/3.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s178, s179)) | node7(s178, s179)),
% 5.09/3.95 inference(modus_ponens,[status(thm)],[14547, 14546])).
% 5.09/3.95 tff(14549,plain,
% 5.09/3.95 (node7(s178, s179)),
% 5.09/3.95 inference(unit_resolution,[status(thm)],[14548, 206, 14490])).
% 5.09/3.95 tff(14550,plain,
% 5.09/3.95 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s179, c_n1) | (~m_main_v_state1(s178, c_c1)) | node1(s178) | node2(s178) | node3(s178) | node4(s178) | node5(s178) | (~node7(s178, s179)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s179, c_n1) | (~m_main_v_state1(s178, c_c1)) | node1(s178) | node2(s178) | node3(s178) | node4(s178) | node5(s178) | (~node7(s178, s179)))),
% 5.09/3.95 inference(rewrite,[status(thm)],[])).
% 5.09/3.95 tff(14551,plain,
% 5.09/3.95 (((~m_main_v_state1(s178, c_c1)) | node1(s178) | node2(s178) | node3(s178) | node4(s178) | node5(s178) | (~node7(s178, s179)) | m_main_v_state1(s179, c_n1)) <=> (m_main_v_state1(s179, c_n1) | (~m_main_v_state1(s178, c_c1)) | node1(s178) | node2(s178) | node3(s178) | node4(s178) | node5(s178) | (~node7(s178, s179)))),
% 5.09/3.95 inference(rewrite,[status(thm)],[])).
% 5.09/3.95 tff(14552,plain,
% 5.09/3.95 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s178, c_c1)) | node1(s178) | node2(s178) | node3(s178) | node4(s178) | node5(s178) | (~node7(s178, s179)) | m_main_v_state1(s179, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s179, c_n1) | (~m_main_v_state1(s178, c_c1)) | node1(s178) | node2(s178) | node3(s178) | node4(s178) | node5(s178) | (~node7(s178, s179))))),
% 5.09/3.95 inference(monotonicity,[status(thm)],[14551])).
% 5.09/3.95 tff(14553,plain,
% 5.09/3.95 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s178, c_c1)) | node1(s178) | node2(s178) | node3(s178) | node4(s178) | node5(s178) | (~node7(s178, s179)) | m_main_v_state1(s179, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s179, c_n1) | (~m_main_v_state1(s178, c_c1)) | node1(s178) | node2(s178) | node3(s178) | node4(s178) | node5(s178) | (~node7(s178, s179)))),
% 5.09/3.95 inference(transitivity,[status(thm)],[14552, 14550])).
% 5.09/3.95 tff(14554,plain,
% 5.09/3.95 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s178, c_c1)) | node1(s178) | node2(s178) | node3(s178) | node4(s178) | node5(s178) | (~node7(s178, s179)) | m_main_v_state1(s179, c_n1))),
% 5.09/3.95 inference(quant_inst,[status(thm)],[])).
% 5.09/3.95 tff(14555,plain,
% 5.09/3.95 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s179, c_n1) | (~m_main_v_state1(s178, c_c1)) | node1(s178) | node2(s178) | node3(s178) | node4(s178) | node5(s178) | (~node7(s178, s179))),
% 5.09/3.95 inference(modus_ponens,[status(thm)],[14554, 14553])).
% 5.09/3.95 tff(14556,plain,
% 5.09/3.95 (m_main_v_state1(s179, c_n1) | (~m_main_v_state1(s178, c_c1)) | node1(s178) | node2(s178) | node3(s178) | node4(s178) | node5(s178)),
% 5.09/3.95 inference(unit_resolution,[status(thm)],[14555, 584, 14549])).
% 5.09/3.95 tff(14557,plain,
% 5.09/3.95 (m_main_v_state1(s179, c_n1)),
% 5.09/3.95 inference(unit_resolution,[status(thm)],[14556, 14545, 14475, 14541, 14537, 14533, 14529])).
% 5.09/3.95 tff(14558,plain,
% 5.09/3.95 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s179, c_n2) | (~node8(s179)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s179, c_n2) | (~node8(s179)))),
% 5.09/3.95 inference(rewrite,[status(thm)],[])).
% 5.09/3.95 tff(14559,plain,
% 5.09/3.95 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s179, c_n2) | (~node8(s179)))),
% 5.09/3.95 inference(quant_inst,[status(thm)],[])).
% 5.09/3.95 tff(14560,plain,
% 5.09/3.95 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s179, c_n2) | (~node8(s179))),
% 5.09/3.95 inference(modus_ponens,[status(thm)],[14559, 14558])).
% 5.09/3.95 tff(14561,plain,
% 5.09/3.95 (~node8(s179)),
% 5.09/3.95 inference(unit_resolution,[status(thm)],[14560, 271, 14506])).
% 5.09/3.95 tff(14562,plain,
% 5.09/3.95 (succ(s179, s180) <=> succ(s179, s180)),
% 5.09/3.95 inference(rewrite,[status(thm)],[])).
% 5.09/3.95 tff(14563,axiom,(succ(s179, s180)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound180')).
% 5.09/3.95 tff(14564,plain,
% 5.09/3.95 (succ(s179, s180)),
% 5.09/3.95 inference(modus_ponens,[status(thm)],[14563, 14562])).
% 5.09/3.95 tff(14565,plain,
% 5.09/3.95 (((~![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))),
% 5.09/3.95 inference(rewrite,[status(thm)],[])).
% 5.09/3.95 tff(14566,plain,
% 5.09/3.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s179, s180)) | trans(s179, s180))),
% 5.09/3.95 inference(quant_inst,[status(thm)],[])).
% 5.09/3.95 tff(14567,plain,
% 5.09/3.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s179, s180)) | trans(s179, s180)),
% 5.09/3.95 inference(modus_ponens,[status(thm)],[14566, 14565])).
% 5.09/3.95 tff(14568,plain,
% 5.09/3.95 (trans(s179, s180)),
% 5.09/3.95 inference(unit_resolution,[status(thm)],[14567, 14564, 32])).
% 5.09/3.95 tff(14569,plain,
% 5.09/3.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s179, s180)) | node14(s179, s180))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s179, s180)) | node14(s179, s180))),
% 5.09/3.95 inference(rewrite,[status(thm)],[])).
% 5.09/3.95 tff(14570,plain,
% 5.09/3.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s179, s180)) | node14(s179, s180))),
% 5.09/3.95 inference(quant_inst,[status(thm)],[])).
% 5.09/3.95 tff(14571,plain,
% 5.09/3.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s179, s180)) | node14(s179, s180)),
% 5.09/3.95 inference(modus_ponens,[status(thm)],[14570, 14569])).
% 5.09/3.95 tff(14572,plain,
% 5.09/3.95 (node14(s179, s180)),
% 5.09/3.95 inference(unit_resolution,[status(thm)],[14571, 46, 14568])).
% 5.09/3.95 tff(14573,plain,
% 5.09/3.95 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s179, c_n1)) | (~m_main_v_state2(s179, c_t2)) | node9(s179) | node8(s179) | node10(s179) | (~node14(s179, s180)) | m_main_v_state2(s180, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s179, c_n1)) | (~m_main_v_state2(s179, c_t2)) | node9(s179) | node8(s179) | node10(s179) | (~node14(s179, s180)) | m_main_v_state2(s180, c_c2))),
% 5.09/3.95 inference(rewrite,[status(thm)],[])).
% 5.09/3.95 tff(14574,plain,
% 5.09/3.95 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s179, c_n1)) | (~m_main_v_state2(s179, c_t2)) | node9(s179) | node8(s179) | node10(s179) | (~node14(s179, s180)) | m_main_v_state2(s180, c_c2))),
% 5.09/3.95 inference(quant_inst,[status(thm)],[])).
% 5.09/3.95 tff(14575,plain,
% 5.09/3.95 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s179, c_n1)) | (~m_main_v_state2(s179, c_t2)) | node9(s179) | node8(s179) | node10(s179) | (~node14(s179, s180)) | m_main_v_state2(s180, c_c2)),
% 5.09/3.95 inference(modus_ponens,[status(thm)],[14574, 14573])).
% 5.09/3.95 tff(14576,plain,
% 5.09/3.95 ((~m_main_v_state1(s179, c_n1)) | (~m_main_v_state2(s179, c_t2)) | node9(s179) | node8(s179) | node10(s179) | m_main_v_state2(s180, c_c2)),
% 5.09/3.95 inference(unit_resolution,[status(thm)],[14575, 617, 14572])).
% 5.09/3.95 tff(14577,plain,
% 5.09/3.95 (m_main_v_state2(s180, c_c2)),
% 5.09/3.95 inference(unit_resolution,[status(thm)],[14576, 14561, 14557, 14521, 14514, 14510])).
% 5.09/3.95 tff(14578,plain,
% 5.09/3.95 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s180, c_t2)) | (~m_main_v_state2(s180, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s180, c_t2)) | (~m_main_v_state2(s180, c_c2)))),
% 5.09/3.95 inference(rewrite,[status(thm)],[])).
% 5.09/3.95 tff(14579,plain,
% 5.09/3.95 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s180, c_t2)) | (~m_main_v_state2(s180, c_c2)))),
% 5.09/3.95 inference(quant_inst,[status(thm)],[])).
% 5.09/3.95 tff(14580,plain,
% 5.09/3.95 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s180, c_t2)) | (~m_main_v_state2(s180, c_c2))),
% 5.09/3.95 inference(modus_ponens,[status(thm)],[14579, 14578])).
% 5.09/3.95 tff(14581,plain,
% 5.09/3.95 (~m_main_v_state2(s180, c_t2)),
% 5.09/3.95 inference(unit_resolution,[status(thm)],[14580, 260, 14577])).
% 5.09/3.95 tff(14582,plain,
% 5.09/3.95 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s180, c_t2) | (~node12(s180)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s180, c_t2) | (~node12(s180)))),
% 5.09/3.95 inference(rewrite,[status(thm)],[])).
% 5.09/3.95 tff(14583,plain,
% 5.09/3.95 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s180, c_t2) | (~node12(s180)))),
% 5.09/3.95 inference(quant_inst,[status(thm)],[])).
% 5.09/3.95 tff(14584,plain,
% 5.09/3.95 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s180, c_t2) | (~node12(s180))),
% 5.09/3.95 inference(modus_ponens,[status(thm)],[14583, 14582])).
% 5.09/3.95 tff(14585,plain,
% 5.09/3.95 (~node12(s180)),
% 5.09/3.95 inference(unit_resolution,[status(thm)],[14584, 633, 14581])).
% 5.09/3.95 tff(14586,plain,
% 5.09/3.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s179, s180)) | node7(s179, s180))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s179, s180)) | node7(s179, s180))),
% 5.09/3.95 inference(rewrite,[status(thm)],[])).
% 5.09/3.95 tff(14587,plain,
% 5.09/3.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s179, s180)) | node7(s179, s180))),
% 5.09/3.95 inference(quant_inst,[status(thm)],[])).
% 5.09/3.95 tff(14588,plain,
% 5.09/3.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s179, s180)) | node7(s179, s180)),
% 5.09/3.95 inference(modus_ponens,[status(thm)],[14587, 14586])).
% 5.09/3.95 tff(14589,plain,
% 5.09/3.95 (node7(s179, s180)),
% 5.09/3.95 inference(unit_resolution,[status(thm)],[14588, 206, 14568])).
% 5.09/3.95 tff(14590,plain,
% 5.09/3.95 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s179, c_n1)) | (~m_main_v_state2(s179, c_t2)) | (~node7(s179, s180)) | m_main_v_state1(s180, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s179, c_n1)) | (~m_main_v_state2(s179, c_t2)) | (~node7(s179, s180)) | m_main_v_state1(s180, c_t1))),
% 5.09/3.95 inference(rewrite,[status(thm)],[])).
% 5.09/3.95 tff(14591,plain,
% 5.09/3.95 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s179, c_n1)) | (~m_main_v_state2(s179, c_t2)) | (~node7(s179, s180)) | m_main_v_state1(s180, c_t1))),
% 5.09/3.95 inference(quant_inst,[status(thm)],[])).
% 5.09/3.95 tff(14592,plain,
% 5.09/3.95 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s179, c_n1)) | (~m_main_v_state2(s179, c_t2)) | (~node7(s179, s180)) | m_main_v_state1(s180, c_t1)),
% 5.09/3.95 inference(modus_ponens,[status(thm)],[14591, 14590])).
% 5.09/3.95 tff(14593,plain,
% 5.09/3.95 ((~m_main_v_state1(s179, c_n1)) | (~m_main_v_state2(s179, c_t2)) | m_main_v_state1(s180, c_t1)),
% 5.09/3.95 inference(unit_resolution,[status(thm)],[14592, 651, 14589])).
% 5.09/3.95 tff(14594,plain,
% 5.09/3.95 (m_main_v_state1(s180, c_t1)),
% 5.09/3.95 inference(unit_resolution,[status(thm)],[14593, 14521, 14557])).
% 5.09/3.95 tff(14595,plain,
% 5.09/3.95 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s180, c_n1)) | (~m_main_v_state1(s180, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s180, c_n1)) | (~m_main_v_state1(s180, c_t1)))),
% 5.09/3.95 inference(rewrite,[status(thm)],[])).
% 5.09/3.95 tff(14596,plain,
% 5.09/3.95 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s180, c_n1)) | (~m_main_v_state1(s180, c_t1)))),
% 5.09/3.95 inference(quant_inst,[status(thm)],[])).
% 5.09/3.95 tff(14597,plain,
% 5.09/3.95 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s180, c_n1)) | (~m_main_v_state1(s180, c_t1))),
% 5.09/3.95 inference(modus_ponens,[status(thm)],[14596, 14595])).
% 5.09/3.95 tff(14598,plain,
% 5.09/3.95 (~m_main_v_state1(s180, c_n1)),
% 5.09/3.95 inference(unit_resolution,[status(thm)],[14597, 10, 14594])).
% 5.09/3.95 tff(14599,plain,
% 5.09/3.95 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s180, c_n1) | (~node11(s180)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s180, c_n1) | (~node11(s180)))),
% 5.09/3.95 inference(rewrite,[status(thm)],[])).
% 5.09/3.95 tff(14600,plain,
% 5.09/3.95 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s180, c_n1) | (~node11(s180)))),
% 5.09/3.95 inference(quant_inst,[status(thm)],[])).
% 5.09/3.95 tff(14601,plain,
% 5.09/3.95 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s180, c_n1) | (~node11(s180))),
% 5.09/3.95 inference(modus_ponens,[status(thm)],[14600, 14599])).
% 5.09/3.95 tff(14602,plain,
% 5.09/3.95 (~node11(s180)),
% 5.09/3.95 inference(unit_resolution,[status(thm)],[14601, 238, 14598])).
% 5.09/3.95 tff(14603,plain,
% 5.09/3.95 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s180, c_t1)) | (~m_main_v_state1(s180, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s180, c_t1)) | (~m_main_v_state1(s180, c_c1)))),
% 5.09/3.95 inference(rewrite,[status(thm)],[])).
% 5.09/3.95 tff(14604,plain,
% 5.09/3.95 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s180, c_t1)) | (~m_main_v_state1(s180, c_c1)))),
% 5.09/3.95 inference(quant_inst,[status(thm)],[])).
% 5.09/3.95 tff(14605,plain,
% 5.09/3.95 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s180, c_t1)) | (~m_main_v_state1(s180, c_c1))),
% 5.09/3.95 inference(modus_ponens,[status(thm)],[14604, 14603])).
% 5.09/3.95 tff(14606,plain,
% 5.09/3.95 (~m_main_v_state1(s180, c_c1)),
% 5.09/3.95 inference(unit_resolution,[status(thm)],[14605, 539, 14594])).
% 5.09/3.95 tff(14607,plain,
% 5.09/3.95 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s180, c_c1) | (~node10(s180)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s180, c_c1) | (~node10(s180)))),
% 5.09/3.95 inference(rewrite,[status(thm)],[])).
% 5.09/3.95 tff(14608,plain,
% 5.09/3.95 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s180, c_c1) | (~node10(s180)))),
% 5.09/3.95 inference(quant_inst,[status(thm)],[])).
% 5.09/3.95 tff(14609,plain,
% 5.09/3.95 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s180, c_c1) | (~node10(s180))),
% 5.09/3.95 inference(modus_ponens,[status(thm)],[14608, 14607])).
% 5.09/3.95 tff(14610,plain,
% 5.09/3.95 (~node10(s180)),
% 5.09/3.95 inference(unit_resolution,[status(thm)],[14609, 675, 14606])).
% 5.09/3.95 tff(14611,plain,
% 5.09/3.95 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s180, c_n1) | (~node9(s180)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s180, c_n1) | (~node9(s180)))),
% 5.09/3.95 inference(rewrite,[status(thm)],[])).
% 5.09/3.95 tff(14612,plain,
% 5.09/3.95 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s180, c_n1) | (~node9(s180)))),
% 5.09/3.95 inference(quant_inst,[status(thm)],[])).
% 5.09/3.95 tff(14613,plain,
% 5.09/3.95 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s180, c_n1) | (~node9(s180))),
% 5.09/3.95 inference(modus_ponens,[status(thm)],[14612, 14611])).
% 5.09/3.95 tff(14614,plain,
% 5.09/3.95 (~node9(s180)),
% 5.09/3.95 inference(unit_resolution,[status(thm)],[14613, 686, 14598])).
% 5.09/3.95 tff(14615,plain,
% 5.09/3.95 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s180, c_n2)) | (~m_main_v_state2(s180, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s180, c_n2)) | (~m_main_v_state2(s180, c_c2)))),
% 5.09/3.95 inference(rewrite,[status(thm)],[])).
% 5.09/3.95 tff(14616,plain,
% 5.09/3.95 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s180, c_n2)) | (~m_main_v_state2(s180, c_c2)))),
% 5.09/3.95 inference(quant_inst,[status(thm)],[])).
% 5.09/3.95 tff(14617,plain,
% 5.09/3.95 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s180, c_n2)) | (~m_main_v_state2(s180, c_c2))),
% 5.09/3.95 inference(modus_ponens,[status(thm)],[14616, 14615])).
% 5.09/3.95 tff(14618,plain,
% 5.09/3.95 (~m_main_v_state2(s180, c_n2)),
% 5.09/3.95 inference(unit_resolution,[status(thm)],[14617, 697, 14577])).
% 5.09/3.95 tff(14619,plain,
% 5.09/3.95 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s180, c_n2) | (~node8(s180)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s180, c_n2) | (~node8(s180)))),
% 5.09/3.95 inference(rewrite,[status(thm)],[])).
% 5.09/3.95 tff(14620,plain,
% 5.09/3.95 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s180, c_n2) | (~node8(s180)))),
% 5.09/3.95 inference(quant_inst,[status(thm)],[])).
% 5.09/3.95 tff(14621,plain,
% 5.09/3.95 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s180, c_n2) | (~node8(s180))),
% 5.09/3.95 inference(modus_ponens,[status(thm)],[14620, 14619])).
% 5.09/3.95 tff(14622,plain,
% 5.09/3.95 (~node8(s180)),
% 5.09/3.95 inference(unit_resolution,[status(thm)],[14621, 271, 14618])).
% 5.09/3.95 tff(14623,plain,
% 5.09/3.95 (succ(s180, s181) <=> succ(s180, s181)),
% 5.09/3.95 inference(rewrite,[status(thm)],[])).
% 5.09/3.95 tff(14624,axiom,(succ(s180, s181)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound181')).
% 5.09/3.95 tff(14625,plain,
% 5.09/3.95 (succ(s180, s181)),
% 5.09/3.95 inference(modus_ponens,[status(thm)],[14624, 14623])).
% 5.09/3.95 tff(14626,plain,
% 5.09/3.95 (((~![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))),
% 5.09/3.95 inference(rewrite,[status(thm)],[])).
% 5.09/3.95 tff(14627,plain,
% 5.09/3.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s180, s181)) | trans(s180, s181))),
% 5.09/3.95 inference(quant_inst,[status(thm)],[])).
% 5.09/3.95 tff(14628,plain,
% 5.09/3.95 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s180, s181)) | trans(s180, s181)),
% 5.09/3.96 inference(modus_ponens,[status(thm)],[14627, 14626])).
% 5.09/3.96 tff(14629,plain,
% 5.09/3.96 (trans(s180, s181)),
% 5.09/3.96 inference(unit_resolution,[status(thm)],[14628, 14625, 32])).
% 5.09/3.96 tff(14630,plain,
% 5.09/3.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s180, s181)) | node14(s180, s181))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s180, s181)) | node14(s180, s181))),
% 5.09/3.96 inference(rewrite,[status(thm)],[])).
% 5.09/3.96 tff(14631,plain,
% 5.09/3.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s180, s181)) | node14(s180, s181))),
% 5.09/3.96 inference(quant_inst,[status(thm)],[])).
% 5.09/3.96 tff(14632,plain,
% 5.09/3.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s180, s181)) | node14(s180, s181)),
% 5.09/3.96 inference(modus_ponens,[status(thm)],[14631, 14630])).
% 5.09/3.96 tff(14633,plain,
% 5.09/3.96 (node14(s180, s181)),
% 5.09/3.96 inference(unit_resolution,[status(thm)],[14632, 46, 14629])).
% 5.09/3.96 tff(14634,plain,
% 5.09/3.96 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s181, c_n2) | node9(s180) | node8(s180) | node10(s180) | node11(s180) | node12(s180) | (~node14(s180, s181)) | (~m_main_v_state2(s180, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s181, c_n2) | node9(s180) | node8(s180) | node10(s180) | node11(s180) | node12(s180) | (~node14(s180, s181)) | (~m_main_v_state2(s180, c_c2)))),
% 5.09/3.96 inference(rewrite,[status(thm)],[])).
% 5.09/3.96 tff(14635,plain,
% 5.09/3.96 (((~m_main_v_state2(s180, c_c2)) | node9(s180) | node8(s180) | node10(s180) | node11(s180) | node12(s180) | (~node14(s180, s181)) | m_main_v_state2(s181, c_n2)) <=> (m_main_v_state2(s181, c_n2) | node9(s180) | node8(s180) | node10(s180) | node11(s180) | node12(s180) | (~node14(s180, s181)) | (~m_main_v_state2(s180, c_c2)))),
% 5.09/3.96 inference(rewrite,[status(thm)],[])).
% 5.09/3.96 tff(14636,plain,
% 5.09/3.96 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s180, c_c2)) | node9(s180) | node8(s180) | node10(s180) | node11(s180) | node12(s180) | (~node14(s180, s181)) | m_main_v_state2(s181, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s181, c_n2) | node9(s180) | node8(s180) | node10(s180) | node11(s180) | node12(s180) | (~node14(s180, s181)) | (~m_main_v_state2(s180, c_c2))))),
% 5.09/3.96 inference(monotonicity,[status(thm)],[14635])).
% 5.09/3.96 tff(14637,plain,
% 5.09/3.96 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s180, c_c2)) | node9(s180) | node8(s180) | node10(s180) | node11(s180) | node12(s180) | (~node14(s180, s181)) | m_main_v_state2(s181, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s181, c_n2) | node9(s180) | node8(s180) | node10(s180) | node11(s180) | node12(s180) | (~node14(s180, s181)) | (~m_main_v_state2(s180, c_c2)))),
% 5.09/3.96 inference(transitivity,[status(thm)],[14636, 14634])).
% 5.09/3.96 tff(14638,plain,
% 5.09/3.96 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s180, c_c2)) | node9(s180) | node8(s180) | node10(s180) | node11(s180) | node12(s180) | (~node14(s180, s181)) | m_main_v_state2(s181, c_n2))),
% 5.09/3.96 inference(quant_inst,[status(thm)],[])).
% 5.09/3.96 tff(14639,plain,
% 5.09/3.96 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s181, c_n2) | node9(s180) | node8(s180) | node10(s180) | node11(s180) | node12(s180) | (~node14(s180, s181)) | (~m_main_v_state2(s180, c_c2))),
% 5.09/3.96 inference(modus_ponens,[status(thm)],[14638, 14637])).
% 5.09/3.96 tff(14640,plain,
% 5.09/3.96 (m_main_v_state2(s181, c_n2) | node9(s180) | node8(s180) | node10(s180) | node11(s180) | node12(s180) | (~m_main_v_state2(s180, c_c2))),
% 5.09/3.96 inference(unit_resolution,[status(thm)],[14639, 726, 14633])).
% 5.09/3.96 tff(14641,plain,
% 5.09/3.96 (m_main_v_state2(s181, c_n2)),
% 5.09/3.96 inference(unit_resolution,[status(thm)],[14640, 14622, 14577, 14614, 14610, 14602, 14585])).
% 5.09/3.96 tff(14642,plain,
% 5.09/3.96 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s181, c_n2)) | (~m_main_v_state2(s181, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s181, c_n2)) | (~m_main_v_state2(s181, c_c2)))),
% 5.09/3.96 inference(rewrite,[status(thm)],[])).
% 5.09/3.96 tff(14643,plain,
% 5.09/3.96 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s181, c_n2)) | (~m_main_v_state2(s181, c_c2)))),
% 5.09/3.96 inference(quant_inst,[status(thm)],[])).
% 5.09/3.96 tff(14644,plain,
% 5.09/3.96 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s181, c_n2)) | (~m_main_v_state2(s181, c_c2))),
% 5.09/3.96 inference(modus_ponens,[status(thm)],[14643, 14642])).
% 5.09/3.96 tff(14645,plain,
% 5.09/3.96 (~m_main_v_state2(s181, c_c2)),
% 5.09/3.96 inference(unit_resolution,[status(thm)],[14644, 697, 14641])).
% 5.09/3.96 tff(14646,plain,
% 5.09/3.96 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s181, c_c2) | (~node3(s181)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s181, c_c2) | (~node3(s181)))),
% 5.09/3.96 inference(rewrite,[status(thm)],[])).
% 5.09/3.96 tff(14647,plain,
% 5.09/3.96 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s181, c_c2) | (~node3(s181)))),
% 5.09/3.96 inference(quant_inst,[status(thm)],[])).
% 5.09/3.96 tff(14648,plain,
% 5.09/3.96 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s181, c_c2) | (~node3(s181))),
% 5.09/3.96 inference(modus_ponens,[status(thm)],[14647, 14646])).
% 5.09/3.96 tff(14649,plain,
% 5.09/3.96 (~node3(s181)),
% 5.09/3.96 inference(unit_resolution,[status(thm)],[14648, 399, 14645])).
% 5.09/3.96 tff(14650,plain,
% 5.09/3.96 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s180, c_n1) | (~node1(s180)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s180, c_n1) | (~node1(s180)))),
% 5.09/3.96 inference(rewrite,[status(thm)],[])).
% 5.09/3.96 tff(14651,plain,
% 5.09/3.96 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s180, c_n1) | (~node1(s180)))),
% 5.09/3.96 inference(quant_inst,[status(thm)],[])).
% 5.09/3.96 tff(14652,plain,
% 5.09/3.96 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s180, c_n1) | (~node1(s180))),
% 5.09/3.96 inference(modus_ponens,[status(thm)],[14651, 14650])).
% 5.09/3.96 tff(14653,plain,
% 5.09/3.96 (~node1(s180)),
% 5.09/3.96 inference(unit_resolution,[status(thm)],[14652, 421, 14598])).
% 5.09/3.96 tff(14654,plain,
% 5.09/3.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s179, s180)) | node18(s179, s180))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s179, s180)) | node18(s179, s180))),
% 5.09/3.96 inference(rewrite,[status(thm)],[])).
% 5.09/3.96 tff(14655,plain,
% 5.09/3.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s179, s180)) | node18(s179, s180))),
% 5.09/3.96 inference(quant_inst,[status(thm)],[])).
% 5.09/3.96 tff(14656,plain,
% 5.09/3.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s179, s180)) | node18(s179, s180)),
% 5.09/3.96 inference(modus_ponens,[status(thm)],[14655, 14654])).
% 5.09/3.96 tff(14657,plain,
% 5.09/3.96 (node18(s179, s180)),
% 5.09/3.96 inference(unit_resolution,[status(thm)],[14656, 125, 14568])).
% 5.09/3.96 tff(14658,plain,
% 5.09/3.96 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s179, c_n1)) | (~m_main_v_state2(s179, c_t2)) | (~node18(s179, s180)) | m_main_v_turn(s180, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s179, c_n1)) | (~m_main_v_state2(s179, c_t2)) | (~node18(s179, s180)) | m_main_v_turn(s180, c_2))),
% 5.09/3.96 inference(rewrite,[status(thm)],[])).
% 5.09/3.96 tff(14659,plain,
% 5.09/3.96 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s179, c_n1)) | (~m_main_v_state2(s179, c_t2)) | (~node18(s179, s180)) | m_main_v_turn(s180, c_2))),
% 5.09/3.96 inference(quant_inst,[status(thm)],[])).
% 5.09/3.96 tff(14660,plain,
% 5.09/3.96 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s179, c_n1)) | (~m_main_v_state2(s179, c_t2)) | (~node18(s179, s180)) | m_main_v_turn(s180, c_2)),
% 5.09/3.96 inference(modus_ponens,[status(thm)],[14659, 14658])).
% 5.09/3.96 tff(14661,plain,
% 5.09/3.96 ((~m_main_v_state1(s179, c_n1)) | (~m_main_v_state2(s179, c_t2)) | m_main_v_turn(s180, c_2)),
% 5.09/3.96 inference(unit_resolution,[status(thm)],[14660, 760, 14657])).
% 5.09/3.96 tff(14662,plain,
% 5.09/3.96 (m_main_v_turn(s180, c_2)),
% 5.09/3.96 inference(unit_resolution,[status(thm)],[14661, 14521, 14557])).
% 5.09/3.96 tff(14663,plain,
% 5.09/3.96 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s180, c_1)) | (~m_main_v_turn(s180, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s180, c_1)) | (~m_main_v_turn(s180, c_2)))),
% 5.09/3.96 inference(rewrite,[status(thm)],[])).
% 5.09/3.96 tff(14664,plain,
% 5.09/3.96 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s180, c_1)) | (~m_main_v_turn(s180, c_2)))),
% 5.09/3.96 inference(quant_inst,[status(thm)],[])).
% 5.09/3.96 tff(14665,plain,
% 5.09/3.96 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s180, c_1)) | (~m_main_v_turn(s180, c_2))),
% 5.09/3.96 inference(modus_ponens,[status(thm)],[14664, 14663])).
% 5.09/3.96 tff(14666,plain,
% 5.09/3.96 (~m_main_v_turn(s180, c_1)),
% 5.09/3.96 inference(unit_resolution,[status(thm)],[14665, 156, 14662])).
% 5.09/3.96 tff(14667,plain,
% 5.09/3.96 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s180, c_1) | (~node5(s180)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s180, c_1) | (~node5(s180)))),
% 5.09/3.96 inference(rewrite,[status(thm)],[])).
% 5.09/3.96 tff(14668,plain,
% 5.09/3.96 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s180, c_1) | (~node5(s180)))),
% 5.09/3.96 inference(quant_inst,[status(thm)],[])).
% 5.09/3.96 tff(14669,plain,
% 5.09/3.96 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s180, c_1) | (~node5(s180))),
% 5.09/3.96 inference(modus_ponens,[status(thm)],[14668, 14667])).
% 5.09/3.96 tff(14670,plain,
% 5.09/3.96 (~node5(s180)),
% 5.09/3.96 inference(unit_resolution,[status(thm)],[14669, 776, 14666])).
% 5.09/3.96 tff(14671,plain,
% 5.09/3.96 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s180, c_n1) | (~node2(s180)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s180, c_n1) | (~node2(s180)))),
% 5.09/3.96 inference(rewrite,[status(thm)],[])).
% 5.09/3.96 tff(14672,plain,
% 5.09/3.96 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s180, c_n1) | (~node2(s180)))),
% 5.09/3.96 inference(quant_inst,[status(thm)],[])).
% 5.09/3.96 tff(14673,plain,
% 5.09/3.96 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s180, c_n1) | (~node2(s180))),
% 5.09/3.96 inference(modus_ponens,[status(thm)],[14672, 14671])).
% 5.09/3.96 tff(14674,plain,
% 5.09/3.96 (~node2(s180)),
% 5.09/3.96 inference(unit_resolution,[status(thm)],[14673, 787, 14598])).
% 5.09/3.96 tff(14675,plain,
% 5.09/3.96 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s180, c_n1) | (~node3(s180)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s180, c_n1) | (~node3(s180)))),
% 5.09/3.96 inference(rewrite,[status(thm)],[])).
% 5.09/3.96 tff(14676,plain,
% 5.09/3.96 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s180, c_n1) | (~node3(s180)))),
% 5.09/3.96 inference(quant_inst,[status(thm)],[])).
% 5.09/3.96 tff(14677,plain,
% 5.09/3.96 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s180, c_n1) | (~node3(s180))),
% 5.09/3.96 inference(modus_ponens,[status(thm)],[14676, 14675])).
% 5.09/3.96 tff(14678,plain,
% 5.09/3.96 (~node3(s180)),
% 5.09/3.96 inference(unit_resolution,[status(thm)],[14677, 798, 14598])).
% 5.09/3.96 tff(14679,plain,
% 5.09/3.96 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s180, c_n2) | (~node4(s180)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s180, c_n2) | (~node4(s180)))),
% 5.09/3.96 inference(rewrite,[status(thm)],[])).
% 5.09/3.96 tff(14680,plain,
% 5.09/3.96 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s180, c_n2) | (~node4(s180)))),
% 5.09/3.96 inference(quant_inst,[status(thm)],[])).
% 5.09/3.96 tff(14681,plain,
% 5.09/3.96 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s180, c_n2) | (~node4(s180))),
% 5.09/3.96 inference(modus_ponens,[status(thm)],[14680, 14679])).
% 5.09/3.96 tff(14682,plain,
% 5.09/3.96 (~node4(s180)),
% 5.09/3.96 inference(unit_resolution,[status(thm)],[14681, 388, 14618])).
% 5.09/3.96 tff(14683,plain,
% 5.09/3.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s180, s181)) | node7(s180, s181))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s180, s181)) | node7(s180, s181))),
% 5.09/3.96 inference(rewrite,[status(thm)],[])).
% 5.09/3.96 tff(14684,plain,
% 5.09/3.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s180, s181)) | node7(s180, s181))),
% 5.09/3.96 inference(quant_inst,[status(thm)],[])).
% 5.09/3.96 tff(14685,plain,
% 5.09/3.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s180, s181)) | node7(s180, s181)),
% 5.09/3.96 inference(modus_ponens,[status(thm)],[14684, 14683])).
% 5.09/3.96 tff(14686,plain,
% 5.09/3.96 (node7(s180, s181)),
% 5.09/3.96 inference(unit_resolution,[status(thm)],[14685, 206, 14629])).
% 5.09/3.96 tff(14687,plain,
% 5.09/3.96 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s180, c_c1) | node1(s180) | node2(s180) | node3(s180) | node4(s180) | node5(s180) | node6(s180, s181) | (~node7(s180, s181)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s180, c_c1) | node1(s180) | node2(s180) | node3(s180) | node4(s180) | node5(s180) | node6(s180, s181) | (~node7(s180, s181)))),
% 5.09/3.96 inference(rewrite,[status(thm)],[])).
% 5.09/3.96 tff(14688,plain,
% 5.09/3.96 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s180, c_c1) | node1(s180) | node2(s180) | node3(s180) | node4(s180) | node5(s180) | node6(s180, s181) | (~node7(s180, s181)))),
% 5.09/3.96 inference(quant_inst,[status(thm)],[])).
% 5.09/3.96 tff(14689,plain,
% 5.09/3.96 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s180, c_c1) | node1(s180) | node2(s180) | node3(s180) | node4(s180) | node5(s180) | node6(s180, s181) | (~node7(s180, s181))),
% 5.09/3.96 inference(modus_ponens,[status(thm)],[14688, 14687])).
% 5.09/3.96 tff(14690,plain,
% 5.09/3.96 (m_main_v_state1(s180, c_c1) | node1(s180) | node2(s180) | node3(s180) | node4(s180) | node5(s180) | node6(s180, s181)),
% 5.09/3.96 inference(unit_resolution,[status(thm)],[14689, 820, 14686])).
% 5.09/3.96 tff(14691,plain,
% 5.09/3.96 (node6(s180, s181)),
% 5.09/3.96 inference(unit_resolution,[status(thm)],[14690, 14682, 14606, 14678, 14674, 14670, 14653])).
% 5.09/3.96 tff(14692,plain,
% 5.09/3.96 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s180, c_n1) | (~m_main_v_state1(s181, c_n1)) | (~node6(s180, s181)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s180, c_n1) | (~m_main_v_state1(s181, c_n1)) | (~node6(s180, s181)))),
% 5.09/3.96 inference(rewrite,[status(thm)],[])).
% 5.09/3.96 tff(14693,plain,
% 5.09/3.96 (((~node6(s180, s181)) | m_main_v_state1(s180, c_n1) | (~m_main_v_state1(s181, c_n1))) <=> (m_main_v_state1(s180, c_n1) | (~m_main_v_state1(s181, c_n1)) | (~node6(s180, s181)))),
% 5.09/3.96 inference(rewrite,[status(thm)],[])).
% 5.09/3.96 tff(14694,plain,
% 5.09/3.96 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s180, s181)) | m_main_v_state1(s180, c_n1) | (~m_main_v_state1(s181, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s180, c_n1) | (~m_main_v_state1(s181, c_n1)) | (~node6(s180, s181))))),
% 5.09/3.96 inference(monotonicity,[status(thm)],[14693])).
% 5.09/3.96 tff(14695,plain,
% 5.09/3.96 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s180, s181)) | m_main_v_state1(s180, c_n1) | (~m_main_v_state1(s181, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s180, c_n1) | (~m_main_v_state1(s181, c_n1)) | (~node6(s180, s181)))),
% 5.09/3.96 inference(transitivity,[status(thm)],[14694, 14692])).
% 5.09/3.96 tff(14696,plain,
% 5.09/3.96 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s180, s181)) | m_main_v_state1(s180, c_n1) | (~m_main_v_state1(s181, c_n1)))),
% 5.09/3.96 inference(quant_inst,[status(thm)],[])).
% 5.09/3.96 tff(14697,plain,
% 5.09/3.96 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s180, c_n1) | (~m_main_v_state1(s181, c_n1)) | (~node6(s180, s181))),
% 5.09/3.96 inference(modus_ponens,[status(thm)],[14696, 14695])).
% 5.09/3.96 tff(14698,plain,
% 5.09/3.96 (~m_main_v_state1(s181, c_n1)),
% 5.09/3.96 inference(unit_resolution,[status(thm)],[14697, 835, 14598, 14691])).
% 5.09/3.96 tff(14699,plain,
% 5.09/3.96 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s181, c_n1) | (~node2(s181)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s181, c_n1) | (~node2(s181)))),
% 5.09/3.96 inference(rewrite,[status(thm)],[])).
% 5.09/3.96 tff(14700,plain,
% 5.09/3.96 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s181, c_n1) | (~node2(s181)))),
% 5.09/3.96 inference(quant_inst,[status(thm)],[])).
% 5.09/3.96 tff(14701,plain,
% 5.09/3.96 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s181, c_n1) | (~node2(s181))),
% 5.09/3.96 inference(modus_ponens,[status(thm)],[14700, 14699])).
% 5.09/3.96 tff(14702,plain,
% 5.09/3.96 (~node2(s181)),
% 5.09/3.96 inference(unit_resolution,[status(thm)],[14701, 787, 14698])).
% 5.09/3.96 tff(14703,plain,
% 5.09/3.96 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s180, c_t1)) | m_main_v_state1(s181, c_t1) | (~node6(s180, s181)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s180, c_t1)) | m_main_v_state1(s181, c_t1) | (~node6(s180, s181)))),
% 5.09/3.96 inference(rewrite,[status(thm)],[])).
% 5.09/3.96 tff(14704,plain,
% 5.09/3.96 (((~node6(s180, s181)) | (~m_main_v_state1(s180, c_t1)) | m_main_v_state1(s181, c_t1)) <=> ((~m_main_v_state1(s180, c_t1)) | m_main_v_state1(s181, c_t1) | (~node6(s180, s181)))),
% 5.09/3.96 inference(rewrite,[status(thm)],[])).
% 5.09/3.96 tff(14705,plain,
% 5.09/3.96 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s180, s181)) | (~m_main_v_state1(s180, c_t1)) | m_main_v_state1(s181, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s180, c_t1)) | m_main_v_state1(s181, c_t1) | (~node6(s180, s181))))),
% 5.09/3.96 inference(monotonicity,[status(thm)],[14704])).
% 5.09/3.96 tff(14706,plain,
% 5.09/3.96 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s180, s181)) | (~m_main_v_state1(s180, c_t1)) | m_main_v_state1(s181, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s180, c_t1)) | m_main_v_state1(s181, c_t1) | (~node6(s180, s181)))),
% 5.09/3.96 inference(transitivity,[status(thm)],[14705, 14703])).
% 5.09/3.96 tff(14707,plain,
% 5.09/3.96 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s180, s181)) | (~m_main_v_state1(s180, c_t1)) | m_main_v_state1(s181, c_t1))),
% 5.09/3.96 inference(quant_inst,[status(thm)],[])).
% 5.09/3.96 tff(14708,plain,
% 5.09/3.96 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s180, c_t1)) | m_main_v_state1(s181, c_t1) | (~node6(s180, s181))),
% 5.09/3.96 inference(modus_ponens,[status(thm)],[14707, 14706])).
% 5.09/3.96 tff(14709,plain,
% 5.09/3.96 (m_main_v_state1(s181, c_t1)),
% 5.09/3.96 inference(unit_resolution,[status(thm)],[14708, 856, 14594, 14691])).
% 5.09/3.96 tff(14710,plain,
% 5.09/3.96 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s181, c_n2)) | (~m_main_v_state2(s181, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s181, c_n2)) | (~m_main_v_state2(s181, c_t2)))),
% 5.09/3.96 inference(rewrite,[status(thm)],[])).
% 5.09/3.96 tff(14711,plain,
% 5.09/3.96 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s181, c_n2)) | (~m_main_v_state2(s181, c_t2)))),
% 5.09/3.96 inference(quant_inst,[status(thm)],[])).
% 5.09/3.96 tff(14712,plain,
% 5.09/3.96 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s181, c_n2)) | (~m_main_v_state2(s181, c_t2))),
% 5.09/3.96 inference(modus_ponens,[status(thm)],[14711, 14710])).
% 5.09/3.96 tff(14713,plain,
% 5.09/3.96 (~m_main_v_state2(s181, c_t2)),
% 5.09/3.96 inference(unit_resolution,[status(thm)],[14712, 77, 14641])).
% 5.09/3.96 tff(14714,plain,
% 5.09/3.96 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s181, c_t2) | (~node1(s181)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s181, c_t2) | (~node1(s181)))),
% 5.09/3.96 inference(rewrite,[status(thm)],[])).
% 5.09/3.96 tff(14715,plain,
% 5.09/3.96 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s181, c_t2) | (~node1(s181)))),
% 5.09/3.96 inference(quant_inst,[status(thm)],[])).
% 5.09/3.96 tff(14716,plain,
% 5.09/3.96 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s181, c_t2) | (~node1(s181))),
% 5.09/3.96 inference(modus_ponens,[status(thm)],[14715, 14714])).
% 5.09/3.96 tff(14717,plain,
% 5.09/3.96 (~node1(s181)),
% 5.09/3.96 inference(unit_resolution,[status(thm)],[14716, 195, 14713])).
% 5.09/3.96 tff(14718,plain,
% 5.09/3.96 (succ(s181, s182) <=> succ(s181, s182)),
% 5.09/3.96 inference(rewrite,[status(thm)],[])).
% 5.09/3.96 tff(14719,axiom,(succ(s181, s182)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound182')).
% 5.09/3.96 tff(14720,plain,
% 5.09/3.96 (succ(s181, s182)),
% 5.09/3.96 inference(modus_ponens,[status(thm)],[14719, 14718])).
% 5.09/3.96 tff(14721,plain,
% 5.09/3.96 (((~![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))),
% 5.09/3.96 inference(rewrite,[status(thm)],[])).
% 5.09/3.96 tff(14722,plain,
% 5.09/3.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s181, s182)) | trans(s181, s182))),
% 5.09/3.96 inference(quant_inst,[status(thm)],[])).
% 5.09/3.96 tff(14723,plain,
% 5.09/3.96 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s181, s182)) | trans(s181, s182)),
% 5.09/3.96 inference(modus_ponens,[status(thm)],[14722, 14721])).
% 5.09/3.96 tff(14724,plain,
% 5.09/3.96 (trans(s181, s182)),
% 5.09/3.96 inference(unit_resolution,[status(thm)],[14723, 14720, 32])).
% 5.09/3.96 tff(14725,plain,
% 5.09/3.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s181, s182)) | node7(s181, s182))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s181, s182)) | node7(s181, s182))),
% 5.09/3.96 inference(rewrite,[status(thm)],[])).
% 5.09/3.96 tff(14726,plain,
% 5.09/3.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s181, s182)) | node7(s181, s182))),
% 5.09/3.96 inference(quant_inst,[status(thm)],[])).
% 5.09/3.96 tff(14727,plain,
% 5.09/3.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s181, s182)) | node7(s181, s182)),
% 5.09/3.96 inference(modus_ponens,[status(thm)],[14726, 14725])).
% 5.09/3.96 tff(14728,plain,
% 5.09/3.96 (node7(s181, s182)),
% 5.09/3.96 inference(unit_resolution,[status(thm)],[14727, 206, 14724])).
% 5.09/3.96 tff(14729,plain,
% 5.09/3.96 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s181, c_t1)) | (~m_main_v_state2(s181, c_n2)) | m_main_v_state1(s182, c_c1) | node1(s181) | node2(s181) | node3(s181) | (~node7(s181, s182)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s181, c_t1)) | (~m_main_v_state2(s181, c_n2)) | m_main_v_state1(s182, c_c1) | node1(s181) | node2(s181) | node3(s181) | (~node7(s181, s182)))),
% 5.09/3.96 inference(rewrite,[status(thm)],[])).
% 5.09/3.96 tff(14730,plain,
% 5.09/3.96 (((~m_main_v_state1(s181, c_t1)) | (~m_main_v_state2(s181, c_n2)) | node1(s181) | node2(s181) | node3(s181) | (~node7(s181, s182)) | m_main_v_state1(s182, c_c1)) <=> ((~m_main_v_state1(s181, c_t1)) | (~m_main_v_state2(s181, c_n2)) | m_main_v_state1(s182, c_c1) | node1(s181) | node2(s181) | node3(s181) | (~node7(s181, s182)))),
% 5.09/3.96 inference(rewrite,[status(thm)],[])).
% 5.09/3.96 tff(14731,plain,
% 5.09/3.96 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s181, c_t1)) | (~m_main_v_state2(s181, c_n2)) | node1(s181) | node2(s181) | node3(s181) | (~node7(s181, s182)) | m_main_v_state1(s182, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s181, c_t1)) | (~m_main_v_state2(s181, c_n2)) | m_main_v_state1(s182, c_c1) | node1(s181) | node2(s181) | node3(s181) | (~node7(s181, s182))))),
% 5.09/3.96 inference(monotonicity,[status(thm)],[14730])).
% 5.09/3.96 tff(14732,plain,
% 5.09/3.96 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s181, c_t1)) | (~m_main_v_state2(s181, c_n2)) | node1(s181) | node2(s181) | node3(s181) | (~node7(s181, s182)) | m_main_v_state1(s182, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s181, c_t1)) | (~m_main_v_state2(s181, c_n2)) | m_main_v_state1(s182, c_c1) | node1(s181) | node2(s181) | node3(s181) | (~node7(s181, s182)))),
% 5.09/3.96 inference(transitivity,[status(thm)],[14731, 14729])).
% 5.09/3.96 tff(14733,plain,
% 5.09/3.96 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s181, c_t1)) | (~m_main_v_state2(s181, c_n2)) | node1(s181) | node2(s181) | node3(s181) | (~node7(s181, s182)) | m_main_v_state1(s182, c_c1))),
% 5.09/3.96 inference(quant_inst,[status(thm)],[])).
% 5.09/3.96 tff(14734,plain,
% 5.09/3.96 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s181, c_t1)) | (~m_main_v_state2(s181, c_n2)) | m_main_v_state1(s182, c_c1) | node1(s181) | node2(s181) | node3(s181) | (~node7(s181, s182))),
% 5.09/3.96 inference(modus_ponens,[status(thm)],[14733, 14732])).
% 5.09/3.96 tff(14735,plain,
% 5.09/3.96 ((~m_main_v_state1(s181, c_t1)) | (~m_main_v_state2(s181, c_n2)) | m_main_v_state1(s182, c_c1) | node1(s181) | node2(s181) | node3(s181)),
% 5.09/3.96 inference(unit_resolution,[status(thm)],[14734, 892, 14728])).
% 5.09/3.96 tff(14736,plain,
% 5.09/3.96 (m_main_v_state1(s182, c_c1)),
% 5.09/3.96 inference(unit_resolution,[status(thm)],[14735, 14717, 14641, 14709, 14702, 14649])).
% 5.09/3.96 tff(14737,plain,
% 5.09/3.96 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s182, c_t1)) | (~m_main_v_state1(s182, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s182, c_t1)) | (~m_main_v_state1(s182, c_c1)))),
% 5.09/3.96 inference(rewrite,[status(thm)],[])).
% 5.09/3.96 tff(14738,plain,
% 5.09/3.96 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s182, c_t1)) | (~m_main_v_state1(s182, c_c1)))),
% 5.09/3.96 inference(quant_inst,[status(thm)],[])).
% 5.09/3.96 tff(14739,plain,
% 5.09/3.96 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s182, c_t1)) | (~m_main_v_state1(s182, c_c1))),
% 5.09/3.96 inference(modus_ponens,[status(thm)],[14738, 14737])).
% 5.09/3.96 tff(14740,plain,
% 5.09/3.96 (~m_main_v_state1(s182, c_t1)),
% 5.09/3.96 inference(unit_resolution,[status(thm)],[14739, 539, 14736])).
% 5.09/3.96 tff(14741,plain,
% 5.09/3.96 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s182, c_t1) | (~node5(s182)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s182, c_t1) | (~node5(s182)))),
% 5.09/3.97 inference(rewrite,[status(thm)],[])).
% 5.09/3.97 tff(14742,plain,
% 5.09/3.97 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s182, c_t1) | (~node5(s182)))),
% 5.09/3.97 inference(quant_inst,[status(thm)],[])).
% 5.09/3.97 tff(14743,plain,
% 5.09/3.97 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s182, c_t1) | (~node5(s182))),
% 5.09/3.97 inference(modus_ponens,[status(thm)],[14742, 14741])).
% 5.09/3.97 tff(14744,plain,
% 5.09/3.97 (~node5(s182)),
% 5.09/3.97 inference(unit_resolution,[status(thm)],[14743, 550, 14740])).
% 5.09/3.97 tff(14745,plain,
% 5.09/3.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s181, s182)) | node14(s181, s182))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s181, s182)) | node14(s181, s182))),
% 5.09/3.97 inference(rewrite,[status(thm)],[])).
% 5.09/3.97 tff(14746,plain,
% 5.09/3.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s181, s182)) | node14(s181, s182))),
% 5.09/3.97 inference(quant_inst,[status(thm)],[])).
% 5.09/3.97 tff(14747,plain,
% 5.09/3.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s181, s182)) | node14(s181, s182)),
% 5.09/3.97 inference(modus_ponens,[status(thm)],[14746, 14745])).
% 5.09/3.97 tff(14748,plain,
% 5.09/3.97 (node14(s181, s182)),
% 5.09/3.97 inference(unit_resolution,[status(thm)],[14747, 46, 14724])).
% 5.09/3.97 tff(14749,plain,
% 5.09/3.97 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s181, c_t1)) | (~m_main_v_state2(s181, c_n2)) | (~node14(s181, s182)) | m_main_v_state2(s182, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s181, c_t1)) | (~m_main_v_state2(s181, c_n2)) | (~node14(s181, s182)) | m_main_v_state2(s182, c_t2))),
% 5.09/3.97 inference(rewrite,[status(thm)],[])).
% 5.09/3.97 tff(14750,plain,
% 5.09/3.97 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s181, c_t1)) | (~m_main_v_state2(s181, c_n2)) | (~node14(s181, s182)) | m_main_v_state2(s182, c_t2))),
% 5.09/3.97 inference(quant_inst,[status(thm)],[])).
% 5.09/3.97 tff(14751,plain,
% 5.09/3.97 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s181, c_t1)) | (~m_main_v_state2(s181, c_n2)) | (~node14(s181, s182)) | m_main_v_state2(s182, c_t2)),
% 5.09/3.97 inference(modus_ponens,[status(thm)],[14750, 14749])).
% 5.09/3.97 tff(14752,plain,
% 5.09/3.97 ((~m_main_v_state1(s181, c_t1)) | (~m_main_v_state2(s181, c_n2)) | m_main_v_state2(s182, c_t2)),
% 5.09/3.97 inference(unit_resolution,[status(thm)],[14751, 922, 14748])).
% 5.09/3.97 tff(14753,plain,
% 5.09/3.97 (m_main_v_state2(s182, c_t2)),
% 5.09/3.97 inference(unit_resolution,[status(thm)],[14752, 14709, 14641])).
% 5.09/3.97 tff(14754,plain,
% 5.09/3.97 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s182, c_n2)) | (~m_main_v_state2(s182, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s182, c_n2)) | (~m_main_v_state2(s182, c_t2)))),
% 5.09/3.97 inference(rewrite,[status(thm)],[])).
% 5.09/3.97 tff(14755,plain,
% 5.09/3.97 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s182, c_n2)) | (~m_main_v_state2(s182, c_t2)))),
% 5.09/3.97 inference(quant_inst,[status(thm)],[])).
% 5.09/3.97 tff(14756,plain,
% 5.09/3.97 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s182, c_n2)) | (~m_main_v_state2(s182, c_t2))),
% 5.09/3.97 inference(modus_ponens,[status(thm)],[14755, 14754])).
% 5.09/3.97 tff(14757,plain,
% 5.09/3.97 (~m_main_v_state2(s182, c_n2)),
% 5.09/3.97 inference(unit_resolution,[status(thm)],[14756, 77, 14753])).
% 5.09/3.97 tff(14758,plain,
% 5.09/3.97 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s182, c_n2) | (~node4(s182)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s182, c_n2) | (~node4(s182)))),
% 5.09/3.97 inference(rewrite,[status(thm)],[])).
% 5.09/3.97 tff(14759,plain,
% 5.09/3.97 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s182, c_n2) | (~node4(s182)))),
% 5.09/3.97 inference(quant_inst,[status(thm)],[])).
% 5.09/3.97 tff(14760,plain,
% 5.09/3.97 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s182, c_n2) | (~node4(s182))),
% 5.09/3.97 inference(modus_ponens,[status(thm)],[14759, 14758])).
% 5.09/3.97 tff(14761,plain,
% 5.09/3.97 (~node4(s182)),
% 5.09/3.97 inference(unit_resolution,[status(thm)],[14760, 388, 14757])).
% 5.09/3.97 tff(14762,plain,
% 5.09/3.97 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s182, c_t2)) | (~m_main_v_state2(s182, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s182, c_t2)) | (~m_main_v_state2(s182, c_c2)))),
% 5.09/3.97 inference(rewrite,[status(thm)],[])).
% 5.09/3.97 tff(14763,plain,
% 5.09/3.97 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s182, c_t2)) | (~m_main_v_state2(s182, c_c2)))),
% 5.09/3.97 inference(quant_inst,[status(thm)],[])).
% 5.09/3.97 tff(14764,plain,
% 5.09/3.97 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s182, c_t2)) | (~m_main_v_state2(s182, c_c2))),
% 5.09/3.97 inference(modus_ponens,[status(thm)],[14763, 14762])).
% 5.09/3.97 tff(14765,plain,
% 5.09/3.97 (~m_main_v_state2(s182, c_c2)),
% 5.09/3.97 inference(unit_resolution,[status(thm)],[14764, 260, 14753])).
% 5.09/3.97 tff(14766,plain,
% 5.09/3.97 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s182, c_c2) | (~node3(s182)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s182, c_c2) | (~node3(s182)))),
% 5.09/3.97 inference(rewrite,[status(thm)],[])).
% 5.09/3.97 tff(14767,plain,
% 5.09/3.97 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s182, c_c2) | (~node3(s182)))),
% 5.09/3.97 inference(quant_inst,[status(thm)],[])).
% 5.09/3.97 tff(14768,plain,
% 5.09/3.97 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s182, c_c2) | (~node3(s182))),
% 5.09/3.97 inference(modus_ponens,[status(thm)],[14767, 14766])).
% 5.09/3.97 tff(14769,plain,
% 5.09/3.97 (~node3(s182)),
% 5.09/3.97 inference(unit_resolution,[status(thm)],[14768, 399, 14765])).
% 5.09/3.97 tff(14770,plain,
% 5.09/3.97 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s182, c_n2) | (~node2(s182)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s182, c_n2) | (~node2(s182)))),
% 5.09/3.97 inference(rewrite,[status(thm)],[])).
% 5.09/3.97 tff(14771,plain,
% 5.09/3.97 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s182, c_n2) | (~node2(s182)))),
% 5.09/3.97 inference(quant_inst,[status(thm)],[])).
% 5.09/3.97 tff(14772,plain,
% 5.09/3.97 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s182, c_n2) | (~node2(s182))),
% 5.09/3.97 inference(modus_ponens,[status(thm)],[14771, 14770])).
% 5.09/3.97 tff(14773,plain,
% 5.09/3.97 (~node2(s182)),
% 5.09/3.97 inference(unit_resolution,[status(thm)],[14772, 410, 14757])).
% 5.09/3.97 tff(14774,plain,
% 5.09/3.97 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s182, c_n1)) | (~m_main_v_state1(s182, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s182, c_n1)) | (~m_main_v_state1(s182, c_c1)))),
% 5.09/3.97 inference(rewrite,[status(thm)],[])).
% 5.09/3.97 tff(14775,plain,
% 5.09/3.97 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s182, c_n1)) | (~m_main_v_state1(s182, c_c1)))),
% 5.09/3.97 inference(quant_inst,[status(thm)],[])).
% 5.09/3.97 tff(14776,plain,
% 5.09/3.97 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s182, c_n1)) | (~m_main_v_state1(s182, c_c1))),
% 5.09/3.97 inference(modus_ponens,[status(thm)],[14775, 14774])).
% 5.09/3.97 tff(14777,plain,
% 5.09/3.97 (~m_main_v_state1(s182, c_n1)),
% 5.09/3.97 inference(unit_resolution,[status(thm)],[14776, 454, 14736])).
% 5.09/3.97 tff(14778,plain,
% 5.09/3.97 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s182, c_n1) | (~node1(s182)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s182, c_n1) | (~node1(s182)))),
% 5.09/3.97 inference(rewrite,[status(thm)],[])).
% 5.09/3.97 tff(14779,plain,
% 5.09/3.97 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s182, c_n1) | (~node1(s182)))),
% 5.09/3.97 inference(quant_inst,[status(thm)],[])).
% 5.09/3.97 tff(14780,plain,
% 5.09/3.97 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s182, c_n1) | (~node1(s182))),
% 5.09/3.97 inference(modus_ponens,[status(thm)],[14779, 14778])).
% 5.09/3.97 tff(14781,plain,
% 5.09/3.97 (~node1(s182)),
% 5.09/3.97 inference(unit_resolution,[status(thm)],[14780, 421, 14777])).
% 5.09/3.97 tff(14782,plain,
% 5.09/3.97 (succ(s182, s183) <=> succ(s182, s183)),
% 5.09/3.97 inference(rewrite,[status(thm)],[])).
% 5.09/3.97 tff(14783,axiom,(succ(s182, s183)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound183')).
% 5.09/3.97 tff(14784,plain,
% 5.09/3.97 (succ(s182, s183)),
% 5.09/3.97 inference(modus_ponens,[status(thm)],[14783, 14782])).
% 5.09/3.97 tff(14785,plain,
% 5.09/3.97 (((~![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))),
% 5.09/3.97 inference(rewrite,[status(thm)],[])).
% 5.09/3.97 tff(14786,plain,
% 5.09/3.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s182, s183)) | trans(s182, s183))),
% 5.09/3.97 inference(quant_inst,[status(thm)],[])).
% 5.09/3.97 tff(14787,plain,
% 5.09/3.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s182, s183)) | trans(s182, s183)),
% 5.09/3.97 inference(modus_ponens,[status(thm)],[14786, 14785])).
% 5.09/3.97 tff(14788,plain,
% 5.09/3.97 (trans(s182, s183)),
% 5.09/3.97 inference(unit_resolution,[status(thm)],[14787, 14784, 32])).
% 5.09/3.97 tff(14789,plain,
% 5.09/3.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s182, s183)) | node7(s182, s183))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s182, s183)) | node7(s182, s183))),
% 5.09/3.97 inference(rewrite,[status(thm)],[])).
% 5.09/3.97 tff(14790,plain,
% 5.09/3.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s182, s183)) | node7(s182, s183))),
% 5.09/3.97 inference(quant_inst,[status(thm)],[])).
% 5.09/3.97 tff(14791,plain,
% 5.09/3.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s182, s183)) | node7(s182, s183)),
% 5.09/3.97 inference(modus_ponens,[status(thm)],[14790, 14789])).
% 5.09/3.97 tff(14792,plain,
% 5.09/3.97 (node7(s182, s183)),
% 5.09/3.97 inference(unit_resolution,[status(thm)],[14791, 206, 14788])).
% 5.09/3.97 tff(14793,plain,
% 5.09/3.97 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s183, c_n1) | (~m_main_v_state1(s182, c_c1)) | node1(s182) | node2(s182) | node3(s182) | node4(s182) | node5(s182) | (~node7(s182, s183)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s183, c_n1) | (~m_main_v_state1(s182, c_c1)) | node1(s182) | node2(s182) | node3(s182) | node4(s182) | node5(s182) | (~node7(s182, s183)))),
% 5.09/3.97 inference(rewrite,[status(thm)],[])).
% 5.09/3.97 tff(14794,plain,
% 5.09/3.97 (((~m_main_v_state1(s182, c_c1)) | node1(s182) | node2(s182) | node3(s182) | node4(s182) | node5(s182) | (~node7(s182, s183)) | m_main_v_state1(s183, c_n1)) <=> (m_main_v_state1(s183, c_n1) | (~m_main_v_state1(s182, c_c1)) | node1(s182) | node2(s182) | node3(s182) | node4(s182) | node5(s182) | (~node7(s182, s183)))),
% 5.09/3.97 inference(rewrite,[status(thm)],[])).
% 5.09/3.97 tff(14795,plain,
% 5.09/3.97 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s182, c_c1)) | node1(s182) | node2(s182) | node3(s182) | node4(s182) | node5(s182) | (~node7(s182, s183)) | m_main_v_state1(s183, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s183, c_n1) | (~m_main_v_state1(s182, c_c1)) | node1(s182) | node2(s182) | node3(s182) | node4(s182) | node5(s182) | (~node7(s182, s183))))),
% 5.09/3.97 inference(monotonicity,[status(thm)],[14794])).
% 5.09/3.97 tff(14796,plain,
% 5.09/3.97 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s182, c_c1)) | node1(s182) | node2(s182) | node3(s182) | node4(s182) | node5(s182) | (~node7(s182, s183)) | m_main_v_state1(s183, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s183, c_n1) | (~m_main_v_state1(s182, c_c1)) | node1(s182) | node2(s182) | node3(s182) | node4(s182) | node5(s182) | (~node7(s182, s183)))),
% 5.09/3.97 inference(transitivity,[status(thm)],[14795, 14793])).
% 5.09/3.97 tff(14797,plain,
% 5.09/3.97 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s182, c_c1)) | node1(s182) | node2(s182) | node3(s182) | node4(s182) | node5(s182) | (~node7(s182, s183)) | m_main_v_state1(s183, c_n1))),
% 5.09/3.97 inference(quant_inst,[status(thm)],[])).
% 5.09/3.97 tff(14798,plain,
% 5.09/3.97 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s183, c_n1) | (~m_main_v_state1(s182, c_c1)) | node1(s182) | node2(s182) | node3(s182) | node4(s182) | node5(s182) | (~node7(s182, s183))),
% 5.09/3.97 inference(modus_ponens,[status(thm)],[14797, 14796])).
% 5.09/3.97 tff(14799,plain,
% 5.09/3.97 (m_main_v_state1(s183, c_n1) | (~m_main_v_state1(s182, c_c1)) | node1(s182) | node2(s182) | node3(s182) | node4(s182) | node5(s182)),
% 5.09/3.97 inference(unit_resolution,[status(thm)],[14798, 584, 14792])).
% 5.09/3.97 tff(14800,plain,
% 5.09/3.97 (m_main_v_state1(s183, c_n1)),
% 5.09/3.97 inference(unit_resolution,[status(thm)],[14799, 14781, 14736, 14773, 14769, 14761, 14744])).
% 5.09/3.97 tff(14801,plain,
% 5.09/3.97 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s181, c_t2) | (~node15(s181)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s181, c_t2) | (~node15(s181)))),
% 5.09/3.97 inference(rewrite,[status(thm)],[])).
% 5.09/3.97 tff(14802,plain,
% 5.09/3.97 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s181, c_t2) | (~node15(s181)))),
% 5.09/3.97 inference(quant_inst,[status(thm)],[])).
% 5.09/3.97 tff(14803,plain,
% 5.09/3.97 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s181, c_t2) | (~node15(s181))),
% 5.09/3.97 inference(modus_ponens,[status(thm)],[14802, 14801])).
% 5.09/3.97 tff(14804,plain,
% 5.09/3.97 (~node15(s181)),
% 5.09/3.97 inference(unit_resolution,[status(thm)],[14803, 103, 14713])).
% 5.09/3.97 tff(14805,plain,
% 5.09/3.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s181, s182)) | node18(s181, s182))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s181, s182)) | node18(s181, s182))),
% 5.09/3.97 inference(rewrite,[status(thm)],[])).
% 5.09/3.97 tff(14806,plain,
% 5.09/3.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s181, s182)) | node18(s181, s182))),
% 5.09/3.97 inference(quant_inst,[status(thm)],[])).
% 5.09/3.97 tff(14807,plain,
% 5.09/3.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s181, s182)) | node18(s181, s182)),
% 5.09/3.97 inference(modus_ponens,[status(thm)],[14806, 14805])).
% 5.09/3.97 tff(14808,plain,
% 5.09/3.97 (node18(s181, s182)),
% 5.09/3.97 inference(unit_resolution,[status(thm)],[14807, 125, 14724])).
% 5.09/3.97 tff(14809,plain,
% 5.09/3.97 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s181) | (~node18(s181, s182)) | (~m_main_v_state1(s181, c_t1)) | (~m_main_v_state2(s181, c_n2)) | m_main_v_turn(s182, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s181) | (~node18(s181, s182)) | (~m_main_v_state1(s181, c_t1)) | (~m_main_v_state2(s181, c_n2)) | m_main_v_turn(s182, c_1))),
% 5.09/3.97 inference(rewrite,[status(thm)],[])).
% 5.09/3.97 tff(14810,plain,
% 5.09/3.97 (((~m_main_v_state1(s181, c_t1)) | (~m_main_v_state2(s181, c_n2)) | node15(s181) | (~node18(s181, s182)) | m_main_v_turn(s182, c_1)) <=> (node15(s181) | (~node18(s181, s182)) | (~m_main_v_state1(s181, c_t1)) | (~m_main_v_state2(s181, c_n2)) | m_main_v_turn(s182, c_1))),
% 5.09/3.97 inference(rewrite,[status(thm)],[])).
% 5.09/3.97 tff(14811,plain,
% 5.09/3.97 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s181, c_t1)) | (~m_main_v_state2(s181, c_n2)) | node15(s181) | (~node18(s181, s182)) | m_main_v_turn(s182, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s181) | (~node18(s181, s182)) | (~m_main_v_state1(s181, c_t1)) | (~m_main_v_state2(s181, c_n2)) | m_main_v_turn(s182, c_1)))),
% 5.09/3.97 inference(monotonicity,[status(thm)],[14810])).
% 5.09/3.97 tff(14812,plain,
% 5.09/3.97 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s181, c_t1)) | (~m_main_v_state2(s181, c_n2)) | node15(s181) | (~node18(s181, s182)) | m_main_v_turn(s182, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s181) | (~node18(s181, s182)) | (~m_main_v_state1(s181, c_t1)) | (~m_main_v_state2(s181, c_n2)) | m_main_v_turn(s182, c_1))),
% 5.09/3.97 inference(transitivity,[status(thm)],[14811, 14809])).
% 5.09/3.97 tff(14813,plain,
% 5.09/3.97 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s181, c_t1)) | (~m_main_v_state2(s181, c_n2)) | node15(s181) | (~node18(s181, s182)) | m_main_v_turn(s182, c_1))),
% 5.09/3.97 inference(quant_inst,[status(thm)],[])).
% 5.09/3.97 tff(14814,plain,
% 5.09/3.97 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s181) | (~node18(s181, s182)) | (~m_main_v_state1(s181, c_t1)) | (~m_main_v_state2(s181, c_n2)) | m_main_v_turn(s182, c_1)),
% 5.09/3.97 inference(modus_ponens,[status(thm)],[14813, 14812])).
% 5.09/3.97 tff(14815,plain,
% 5.09/3.97 (node15(s181) | (~m_main_v_state1(s181, c_t1)) | (~m_main_v_state2(s181, c_n2)) | m_main_v_turn(s182, c_1)),
% 5.09/3.97 inference(unit_resolution,[status(thm)],[14814, 992, 14808])).
% 5.09/3.97 tff(14816,plain,
% 5.09/3.97 (m_main_v_turn(s182, c_1)),
% 5.09/3.97 inference(unit_resolution,[status(thm)],[14815, 14804, 14641, 14709])).
% 5.09/3.97 tff(14817,plain,
% 5.09/3.97 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s182, c_1)) | (~m_main_v_turn(s182, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s182, c_1)) | (~m_main_v_turn(s182, c_2)))),
% 5.09/3.97 inference(rewrite,[status(thm)],[])).
% 5.09/3.97 tff(14818,plain,
% 5.09/3.97 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s182, c_1)) | (~m_main_v_turn(s182, c_2)))),
% 5.09/3.97 inference(quant_inst,[status(thm)],[])).
% 5.09/3.97 tff(14819,plain,
% 5.09/3.97 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s182, c_1)) | (~m_main_v_turn(s182, c_2))),
% 5.09/3.97 inference(modus_ponens,[status(thm)],[14818, 14817])).
% 5.09/3.97 tff(14820,plain,
% 5.09/3.97 (~m_main_v_turn(s182, c_2)),
% 5.09/3.97 inference(unit_resolution,[status(thm)],[14819, 156, 14816])).
% 5.09/3.97 tff(14821,plain,
% 5.09/3.97 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s182, c_2) | (~node12(s182)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s182, c_2) | (~node12(s182)))),
% 5.09/3.97 inference(rewrite,[status(thm)],[])).
% 5.09/3.97 tff(14822,plain,
% 5.09/3.97 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s182, c_2) | (~node12(s182)))),
% 5.09/3.97 inference(quant_inst,[status(thm)],[])).
% 5.09/3.97 tff(14823,plain,
% 5.09/3.97 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s182, c_2) | (~node12(s182))),
% 5.09/3.97 inference(modus_ponens,[status(thm)],[14822, 14821])).
% 5.09/3.97 tff(14824,plain,
% 5.09/3.97 (~node12(s182)),
% 5.09/3.97 inference(unit_resolution,[status(thm)],[14823, 184, 14820])).
% 5.09/3.97 tff(14825,plain,
% 5.09/3.97 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s182, c_n2) | (~node8(s182)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s182, c_n2) | (~node8(s182)))),
% 5.09/3.97 inference(rewrite,[status(thm)],[])).
% 5.09/3.97 tff(14826,plain,
% 5.09/3.97 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s182, c_n2) | (~node8(s182)))),
% 5.09/3.97 inference(quant_inst,[status(thm)],[])).
% 5.09/3.97 tff(14827,plain,
% 5.09/3.97 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s182, c_n2) | (~node8(s182))),
% 5.09/3.97 inference(modus_ponens,[status(thm)],[14826, 14825])).
% 5.09/3.97 tff(14828,plain,
% 5.09/3.97 (~node8(s182)),
% 5.09/3.97 inference(unit_resolution,[status(thm)],[14827, 271, 14757])).
% 5.09/3.97 tff(14829,plain,
% 5.09/3.97 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s182, c_n2) | (~node9(s182)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s182, c_n2) | (~node9(s182)))),
% 5.09/3.97 inference(rewrite,[status(thm)],[])).
% 5.09/3.97 tff(14830,plain,
% 5.09/3.97 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s182, c_n2) | (~node9(s182)))),
% 5.09/3.97 inference(quant_inst,[status(thm)],[])).
% 5.09/3.97 tff(14831,plain,
% 5.09/3.97 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s182, c_n2) | (~node9(s182))),
% 5.09/3.97 inference(modus_ponens,[status(thm)],[14830, 14829])).
% 5.09/3.97 tff(14832,plain,
% 5.09/3.97 (~node9(s182)),
% 5.09/3.97 inference(unit_resolution,[status(thm)],[14831, 88, 14757])).
% 5.09/3.97 tff(14833,plain,
% 5.09/3.97 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s182, c_n2) | (~node10(s182)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s182, c_n2) | (~node10(s182)))),
% 5.09/3.97 inference(rewrite,[status(thm)],[])).
% 5.09/3.97 tff(14834,plain,
% 5.09/3.97 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s182, c_n2) | (~node10(s182)))),
% 5.09/3.97 inference(quant_inst,[status(thm)],[])).
% 5.09/3.97 tff(14835,plain,
% 5.09/3.97 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s182, c_n2) | (~node10(s182))),
% 5.09/3.97 inference(modus_ponens,[status(thm)],[14834, 14833])).
% 5.09/3.97 tff(14836,plain,
% 5.09/3.97 (~node10(s182)),
% 5.09/3.97 inference(unit_resolution,[status(thm)],[14835, 249, 14757])).
% 5.09/3.97 tff(14837,plain,
% 5.09/3.97 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s182, c_n1) | (~node11(s182)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s182, c_n1) | (~node11(s182)))),
% 5.09/3.97 inference(rewrite,[status(thm)],[])).
% 5.09/3.97 tff(14838,plain,
% 5.09/3.97 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s182, c_n1) | (~node11(s182)))),
% 5.09/3.97 inference(quant_inst,[status(thm)],[])).
% 5.09/3.97 tff(14839,plain,
% 5.09/3.97 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s182, c_n1) | (~node11(s182))),
% 5.09/3.97 inference(modus_ponens,[status(thm)],[14838, 14837])).
% 5.09/3.97 tff(14840,plain,
% 5.09/3.97 (~node11(s182)),
% 5.09/3.97 inference(unit_resolution,[status(thm)],[14839, 238, 14777])).
% 5.09/3.97 tff(14841,plain,
% 5.09/3.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s182, s183)) | node14(s182, s183))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s182, s183)) | node14(s182, s183))),
% 5.09/3.97 inference(rewrite,[status(thm)],[])).
% 5.09/3.97 tff(14842,plain,
% 5.09/3.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s182, s183)) | node14(s182, s183))),
% 5.09/3.97 inference(quant_inst,[status(thm)],[])).
% 5.09/3.97 tff(14843,plain,
% 5.09/3.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s182, s183)) | node14(s182, s183)),
% 5.09/3.97 inference(modus_ponens,[status(thm)],[14842, 14841])).
% 5.09/3.97 tff(14844,plain,
% 5.09/3.97 (node14(s182, s183)),
% 5.09/3.97 inference(unit_resolution,[status(thm)],[14843, 46, 14788])).
% 5.09/3.97 tff(14845,plain,
% 5.09/3.97 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s182, c_c2) | node9(s182) | node8(s182) | node10(s182) | node11(s182) | node12(s182) | node13(s182, s183) | (~node14(s182, s183)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s182, c_c2) | node9(s182) | node8(s182) | node10(s182) | node11(s182) | node12(s182) | node13(s182, s183) | (~node14(s182, s183)))),
% 5.09/3.97 inference(rewrite,[status(thm)],[])).
% 5.09/3.97 tff(14846,plain,
% 5.09/3.97 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s182, c_c2) | node9(s182) | node8(s182) | node10(s182) | node11(s182) | node12(s182) | node13(s182, s183) | (~node14(s182, s183)))),
% 5.09/3.97 inference(quant_inst,[status(thm)],[])).
% 5.09/3.97 tff(14847,plain,
% 5.09/3.97 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s182, c_c2) | node9(s182) | node8(s182) | node10(s182) | node11(s182) | node12(s182) | node13(s182, s183) | (~node14(s182, s183))),
% 5.09/3.97 inference(modus_ponens,[status(thm)],[14846, 14845])).
% 5.09/3.97 tff(14848,plain,
% 5.09/3.97 (m_main_v_state2(s182, c_c2) | node9(s182) | node8(s182) | node10(s182) | node11(s182) | node12(s182) | node13(s182, s183)),
% 5.09/3.97 inference(unit_resolution,[status(thm)],[14847, 296, 14844])).
% 5.09/3.97 tff(14849,plain,
% 5.09/3.97 (node13(s182, s183)),
% 5.09/3.97 inference(unit_resolution,[status(thm)],[14848, 14840, 14765, 14836, 14832, 14828, 14824])).
% 5.09/3.97 tff(14850,plain,
% 5.09/3.97 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s182, c_t2)) | m_main_v_state2(s183, c_t2) | (~node13(s182, s183)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s182, c_t2)) | m_main_v_state2(s183, c_t2) | (~node13(s182, s183)))),
% 5.09/3.97 inference(rewrite,[status(thm)],[])).
% 5.09/3.97 tff(14851,plain,
% 5.09/3.97 (((~node13(s182, s183)) | (~m_main_v_state2(s182, c_t2)) | m_main_v_state2(s183, c_t2)) <=> ((~m_main_v_state2(s182, c_t2)) | m_main_v_state2(s183, c_t2) | (~node13(s182, s183)))),
% 5.09/3.97 inference(rewrite,[status(thm)],[])).
% 5.09/3.97 tff(14852,plain,
% 5.09/3.97 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s182, s183)) | (~m_main_v_state2(s182, c_t2)) | m_main_v_state2(s183, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s182, c_t2)) | m_main_v_state2(s183, c_t2) | (~node13(s182, s183))))),
% 5.09/3.97 inference(monotonicity,[status(thm)],[14851])).
% 5.09/3.97 tff(14853,plain,
% 5.09/3.97 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s182, s183)) | (~m_main_v_state2(s182, c_t2)) | m_main_v_state2(s183, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s182, c_t2)) | m_main_v_state2(s183, c_t2) | (~node13(s182, s183)))),
% 5.09/3.97 inference(transitivity,[status(thm)],[14852, 14850])).
% 5.09/3.97 tff(14854,plain,
% 5.09/3.97 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s182, s183)) | (~m_main_v_state2(s182, c_t2)) | m_main_v_state2(s183, c_t2))),
% 5.09/3.97 inference(quant_inst,[status(thm)],[])).
% 5.09/3.97 tff(14855,plain,
% 5.09/3.97 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s182, c_t2)) | m_main_v_state2(s183, c_t2) | (~node13(s182, s183))),
% 5.09/3.97 inference(modus_ponens,[status(thm)],[14854, 14853])).
% 5.09/3.97 tff(14856,plain,
% 5.09/3.97 (m_main_v_state2(s183, c_t2)),
% 5.09/3.97 inference(unit_resolution,[status(thm)],[14855, 518, 14753, 14849])).
% 5.09/3.97 tff(14857,plain,
% 5.09/3.97 (succ(s183, s184) <=> succ(s183, s184)),
% 5.09/3.97 inference(rewrite,[status(thm)],[])).
% 5.09/3.97 tff(14858,axiom,(succ(s183, s184)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound184')).
% 5.09/3.97 tff(14859,plain,
% 5.09/3.97 (succ(s183, s184)),
% 5.09/3.97 inference(modus_ponens,[status(thm)],[14858, 14857])).
% 5.09/3.97 tff(14860,plain,
% 5.09/3.97 (((~![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))),
% 5.09/3.97 inference(rewrite,[status(thm)],[])).
% 5.09/3.97 tff(14861,plain,
% 5.09/3.97 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s183, s184)) | trans(s183, s184))),
% 5.09/3.97 inference(quant_inst,[status(thm)],[])).
% 5.14/3.98 tff(14862,plain,
% 5.14/3.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s183, s184)) | trans(s183, s184)),
% 5.14/3.98 inference(modus_ponens,[status(thm)],[14861, 14860])).
% 5.14/3.98 tff(14863,plain,
% 5.14/3.98 (trans(s183, s184)),
% 5.14/3.98 inference(unit_resolution,[status(thm)],[14862, 14859, 32])).
% 5.14/3.98 tff(14864,plain,
% 5.14/3.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s183, s184)) | node7(s183, s184))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s183, s184)) | node7(s183, s184))),
% 5.14/3.98 inference(rewrite,[status(thm)],[])).
% 5.14/3.98 tff(14865,plain,
% 5.14/3.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s183, s184)) | node7(s183, s184))),
% 5.14/3.98 inference(quant_inst,[status(thm)],[])).
% 5.14/3.98 tff(14866,plain,
% 5.14/3.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s183, s184)) | node7(s183, s184)),
% 5.14/3.98 inference(modus_ponens,[status(thm)],[14865, 14864])).
% 5.14/3.98 tff(14867,plain,
% 5.14/3.98 (node7(s183, s184)),
% 5.14/3.98 inference(unit_resolution,[status(thm)],[14866, 206, 14863])).
% 5.14/3.98 tff(14868,plain,
% 5.14/3.98 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s183, c_n1)) | (~m_main_v_state2(s183, c_t2)) | (~node7(s183, s184)) | m_main_v_state1(s184, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s183, c_n1)) | (~m_main_v_state2(s183, c_t2)) | (~node7(s183, s184)) | m_main_v_state1(s184, c_t1))),
% 5.14/3.98 inference(rewrite,[status(thm)],[])).
% 5.14/3.98 tff(14869,plain,
% 5.14/3.98 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s183, c_n1)) | (~m_main_v_state2(s183, c_t2)) | (~node7(s183, s184)) | m_main_v_state1(s184, c_t1))),
% 5.14/3.98 inference(quant_inst,[status(thm)],[])).
% 5.14/3.98 tff(14870,plain,
% 5.14/3.98 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s183, c_n1)) | (~m_main_v_state2(s183, c_t2)) | (~node7(s183, s184)) | m_main_v_state1(s184, c_t1)),
% 5.14/3.98 inference(modus_ponens,[status(thm)],[14869, 14868])).
% 5.14/3.98 tff(14871,plain,
% 5.14/3.98 ((~m_main_v_state1(s183, c_n1)) | (~m_main_v_state2(s183, c_t2)) | m_main_v_state1(s184, c_t1)),
% 5.14/3.98 inference(unit_resolution,[status(thm)],[14870, 651, 14867])).
% 5.14/3.98 tff(14872,plain,
% 5.14/3.98 (m_main_v_state1(s184, c_t1)),
% 5.14/3.98 inference(unit_resolution,[status(thm)],[14871, 14856, 14800])).
% 5.14/3.98 tff(14873,plain,
% 5.14/3.98 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s184, c_n1)) | (~m_main_v_state1(s184, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s184, c_n1)) | (~m_main_v_state1(s184, c_t1)))),
% 5.14/3.98 inference(rewrite,[status(thm)],[])).
% 5.14/3.98 tff(14874,plain,
% 5.14/3.98 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s184, c_n1)) | (~m_main_v_state1(s184, c_t1)))),
% 5.14/3.98 inference(quant_inst,[status(thm)],[])).
% 5.14/3.98 tff(14875,plain,
% 5.14/3.98 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s184, c_n1)) | (~m_main_v_state1(s184, c_t1))),
% 5.14/3.98 inference(modus_ponens,[status(thm)],[14874, 14873])).
% 5.14/3.98 tff(14876,plain,
% 5.14/3.98 (~m_main_v_state1(s184, c_n1)),
% 5.14/3.98 inference(unit_resolution,[status(thm)],[14875, 10, 14872])).
% 5.14/3.98 tff(14877,plain,
% 5.14/3.98 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s184, c_n1) | (~node1(s184)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s184, c_n1) | (~node1(s184)))),
% 5.14/3.98 inference(rewrite,[status(thm)],[])).
% 5.14/3.98 tff(14878,plain,
% 5.14/3.98 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s184, c_n1) | (~node1(s184)))),
% 5.14/3.98 inference(quant_inst,[status(thm)],[])).
% 5.14/3.98 tff(14879,plain,
% 5.14/3.98 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s184, c_n1) | (~node1(s184))),
% 5.14/3.98 inference(modus_ponens,[status(thm)],[14878, 14877])).
% 5.14/3.98 tff(14880,plain,
% 5.14/3.98 (~node1(s184)),
% 5.14/3.98 inference(unit_resolution,[status(thm)],[14879, 421, 14876])).
% 5.14/3.98 tff(14881,plain,
% 5.14/3.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s183, s184)) | node18(s183, s184))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s183, s184)) | node18(s183, s184))),
% 5.14/3.98 inference(rewrite,[status(thm)],[])).
% 5.14/3.98 tff(14882,plain,
% 5.14/3.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s183, s184)) | node18(s183, s184))),
% 5.14/3.98 inference(quant_inst,[status(thm)],[])).
% 5.14/3.98 tff(14883,plain,
% 5.14/3.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s183, s184)) | node18(s183, s184)),
% 5.14/3.98 inference(modus_ponens,[status(thm)],[14882, 14881])).
% 5.14/3.98 tff(14884,plain,
% 5.14/3.98 (node18(s183, s184)),
% 5.14/3.98 inference(unit_resolution,[status(thm)],[14883, 125, 14863])).
% 5.14/3.98 tff(14885,plain,
% 5.14/3.98 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s183, c_n1)) | (~m_main_v_state2(s183, c_t2)) | (~node18(s183, s184)) | m_main_v_turn(s184, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s183, c_n1)) | (~m_main_v_state2(s183, c_t2)) | (~node18(s183, s184)) | m_main_v_turn(s184, c_2))),
% 5.14/3.98 inference(rewrite,[status(thm)],[])).
% 5.14/3.98 tff(14886,plain,
% 5.14/3.98 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s183, c_n1)) | (~m_main_v_state2(s183, c_t2)) | (~node18(s183, s184)) | m_main_v_turn(s184, c_2))),
% 5.14/3.98 inference(quant_inst,[status(thm)],[])).
% 5.14/3.98 tff(14887,plain,
% 5.14/3.98 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s183, c_n1)) | (~m_main_v_state2(s183, c_t2)) | (~node18(s183, s184)) | m_main_v_turn(s184, c_2)),
% 5.14/3.98 inference(modus_ponens,[status(thm)],[14886, 14885])).
% 5.14/3.98 tff(14888,plain,
% 5.14/3.98 ((~m_main_v_state1(s183, c_n1)) | (~m_main_v_state2(s183, c_t2)) | m_main_v_turn(s184, c_2)),
% 5.14/3.98 inference(unit_resolution,[status(thm)],[14887, 760, 14884])).
% 5.14/3.98 tff(14889,plain,
% 5.14/3.98 (m_main_v_turn(s184, c_2)),
% 5.14/3.98 inference(unit_resolution,[status(thm)],[14888, 14856, 14800])).
% 5.14/3.98 tff(14890,plain,
% 5.14/3.98 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s184, c_1)) | (~m_main_v_turn(s184, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s184, c_1)) | (~m_main_v_turn(s184, c_2)))),
% 5.14/3.98 inference(rewrite,[status(thm)],[])).
% 5.14/3.98 tff(14891,plain,
% 5.14/3.98 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s184, c_1)) | (~m_main_v_turn(s184, c_2)))),
% 5.14/3.98 inference(quant_inst,[status(thm)],[])).
% 5.14/3.98 tff(14892,plain,
% 5.14/3.98 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s184, c_1)) | (~m_main_v_turn(s184, c_2))),
% 5.14/3.98 inference(modus_ponens,[status(thm)],[14891, 14890])).
% 5.14/3.98 tff(14893,plain,
% 5.14/3.98 (~m_main_v_turn(s184, c_1)),
% 5.14/3.98 inference(unit_resolution,[status(thm)],[14892, 156, 14889])).
% 5.14/3.98 tff(14894,plain,
% 5.14/3.98 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s184, c_1) | (~node5(s184)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s184, c_1) | (~node5(s184)))),
% 5.14/3.98 inference(rewrite,[status(thm)],[])).
% 5.14/3.98 tff(14895,plain,
% 5.14/3.98 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s184, c_1) | (~node5(s184)))),
% 5.14/3.98 inference(quant_inst,[status(thm)],[])).
% 5.14/3.98 tff(14896,plain,
% 5.14/3.98 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s184, c_1) | (~node5(s184))),
% 5.14/3.98 inference(modus_ponens,[status(thm)],[14895, 14894])).
% 5.14/3.98 tff(14897,plain,
% 5.14/3.98 (~node5(s184)),
% 5.14/3.98 inference(unit_resolution,[status(thm)],[14896, 776, 14893])).
% 5.14/3.98 tff(14898,plain,
% 5.14/3.98 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s184, c_n1) | (~node2(s184)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s184, c_n1) | (~node2(s184)))),
% 5.14/3.98 inference(rewrite,[status(thm)],[])).
% 5.14/3.98 tff(14899,plain,
% 5.14/3.98 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s184, c_n1) | (~node2(s184)))),
% 5.14/3.98 inference(quant_inst,[status(thm)],[])).
% 5.14/3.98 tff(14900,plain,
% 5.14/3.98 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s184, c_n1) | (~node2(s184))),
% 5.14/3.98 inference(modus_ponens,[status(thm)],[14899, 14898])).
% 5.14/3.98 tff(14901,plain,
% 5.14/3.98 (~node2(s184)),
% 5.14/3.98 inference(unit_resolution,[status(thm)],[14900, 787, 14876])).
% 5.14/3.98 tff(14902,plain,
% 5.14/3.98 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s184, c_n1) | (~node3(s184)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s184, c_n1) | (~node3(s184)))),
% 5.14/3.98 inference(rewrite,[status(thm)],[])).
% 5.14/3.98 tff(14903,plain,
% 5.14/3.98 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s184, c_n1) | (~node3(s184)))),
% 5.14/3.98 inference(quant_inst,[status(thm)],[])).
% 5.14/3.98 tff(14904,plain,
% 5.14/3.98 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s184, c_n1) | (~node3(s184))),
% 5.14/3.98 inference(modus_ponens,[status(thm)],[14903, 14902])).
% 5.14/3.98 tff(14905,plain,
% 5.14/3.98 (~node3(s184)),
% 5.14/3.98 inference(unit_resolution,[status(thm)],[14904, 798, 14876])).
% 5.14/3.98 tff(14906,plain,
% 5.14/3.98 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s184, c_t1)) | (~m_main_v_state1(s184, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s184, c_t1)) | (~m_main_v_state1(s184, c_c1)))),
% 5.14/3.98 inference(rewrite,[status(thm)],[])).
% 5.14/3.98 tff(14907,plain,
% 5.14/3.98 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s184, c_t1)) | (~m_main_v_state1(s184, c_c1)))),
% 5.14/3.98 inference(quant_inst,[status(thm)],[])).
% 5.14/3.98 tff(14908,plain,
% 5.14/3.98 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s184, c_t1)) | (~m_main_v_state1(s184, c_c1))),
% 5.14/3.98 inference(modus_ponens,[status(thm)],[14907, 14906])).
% 5.14/3.98 tff(14909,plain,
% 5.14/3.98 (~m_main_v_state1(s184, c_c1)),
% 5.14/3.98 inference(unit_resolution,[status(thm)],[14908, 539, 14872])).
% 5.14/3.98 tff(14910,plain,
% 5.14/3.98 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s182, c_n2) | (~m_main_v_state2(s183, c_n2)) | (~node13(s182, s183)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s182, c_n2) | (~m_main_v_state2(s183, c_n2)) | (~node13(s182, s183)))),
% 5.14/3.98 inference(rewrite,[status(thm)],[])).
% 5.14/3.98 tff(14911,plain,
% 5.14/3.98 (((~node13(s182, s183)) | m_main_v_state2(s182, c_n2) | (~m_main_v_state2(s183, c_n2))) <=> (m_main_v_state2(s182, c_n2) | (~m_main_v_state2(s183, c_n2)) | (~node13(s182, s183)))),
% 5.14/3.98 inference(rewrite,[status(thm)],[])).
% 5.14/3.98 tff(14912,plain,
% 5.14/3.98 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s182, s183)) | m_main_v_state2(s182, c_n2) | (~m_main_v_state2(s183, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s182, c_n2) | (~m_main_v_state2(s183, c_n2)) | (~node13(s182, s183))))),
% 5.14/3.98 inference(monotonicity,[status(thm)],[14911])).
% 5.14/3.98 tff(14913,plain,
% 5.14/3.98 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s182, s183)) | m_main_v_state2(s182, c_n2) | (~m_main_v_state2(s183, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s182, c_n2) | (~m_main_v_state2(s183, c_n2)) | (~node13(s182, s183)))),
% 5.14/3.98 inference(transitivity,[status(thm)],[14912, 14910])).
% 5.14/3.98 tff(14914,plain,
% 5.14/3.98 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s182, s183)) | m_main_v_state2(s182, c_n2) | (~m_main_v_state2(s183, c_n2)))),
% 5.14/3.98 inference(quant_inst,[status(thm)],[])).
% 5.14/3.98 tff(14915,plain,
% 5.14/3.98 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s182, c_n2) | (~m_main_v_state2(s183, c_n2)) | (~node13(s182, s183))),
% 5.14/3.98 inference(modus_ponens,[status(thm)],[14914, 14913])).
% 5.14/3.98 tff(14916,plain,
% 5.14/3.98 (~m_main_v_state2(s183, c_n2)),
% 5.14/3.98 inference(unit_resolution,[status(thm)],[14915, 311, 14757, 14849])).
% 5.14/3.98 tff(14917,plain,
% 5.14/3.98 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s183, c_n2) | (~node9(s183)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s183, c_n2) | (~node9(s183)))),
% 5.14/3.98 inference(rewrite,[status(thm)],[])).
% 5.14/3.98 tff(14918,plain,
% 5.14/3.98 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s183, c_n2) | (~node9(s183)))),
% 5.14/3.98 inference(quant_inst,[status(thm)],[])).
% 5.14/3.98 tff(14919,plain,
% 5.14/3.98 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s183, c_n2) | (~node9(s183))),
% 5.14/3.98 inference(modus_ponens,[status(thm)],[14918, 14917])).
% 5.14/3.98 tff(14920,plain,
% 5.14/3.98 (~node9(s183)),
% 5.14/3.98 inference(unit_resolution,[status(thm)],[14919, 88, 14916])).
% 5.14/3.98 tff(14921,plain,
% 5.14/3.98 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s183, c_n2) | (~node10(s183)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s183, c_n2) | (~node10(s183)))),
% 5.14/3.98 inference(rewrite,[status(thm)],[])).
% 5.14/3.98 tff(14922,plain,
% 5.14/3.98 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s183, c_n2) | (~node10(s183)))),
% 5.14/3.98 inference(quant_inst,[status(thm)],[])).
% 5.14/3.98 tff(14923,plain,
% 5.14/3.98 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s183, c_n2) | (~node10(s183))),
% 5.14/3.98 inference(modus_ponens,[status(thm)],[14922, 14921])).
% 5.14/3.98 tff(14924,plain,
% 5.14/3.98 (~node10(s183)),
% 5.14/3.98 inference(unit_resolution,[status(thm)],[14923, 249, 14916])).
% 5.14/3.98 tff(14925,plain,
% 5.14/3.98 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s183, c_n2) | (~node8(s183)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s183, c_n2) | (~node8(s183)))),
% 5.14/3.98 inference(rewrite,[status(thm)],[])).
% 5.14/3.98 tff(14926,plain,
% 5.14/3.98 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s183, c_n2) | (~node8(s183)))),
% 5.14/3.98 inference(quant_inst,[status(thm)],[])).
% 5.14/3.98 tff(14927,plain,
% 5.14/3.98 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s183, c_n2) | (~node8(s183))),
% 5.14/3.98 inference(modus_ponens,[status(thm)],[14926, 14925])).
% 5.14/3.98 tff(14928,plain,
% 5.14/3.98 (~node8(s183)),
% 5.14/3.98 inference(unit_resolution,[status(thm)],[14927, 271, 14916])).
% 5.14/3.98 tff(14929,plain,
% 5.14/3.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s183, s184)) | node14(s183, s184))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s183, s184)) | node14(s183, s184))),
% 5.14/3.98 inference(rewrite,[status(thm)],[])).
% 5.14/3.98 tff(14930,plain,
% 5.14/3.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s183, s184)) | node14(s183, s184))),
% 5.14/3.98 inference(quant_inst,[status(thm)],[])).
% 5.14/3.98 tff(14931,plain,
% 5.14/3.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s183, s184)) | node14(s183, s184)),
% 5.14/3.98 inference(modus_ponens,[status(thm)],[14930, 14929])).
% 5.14/3.98 tff(14932,plain,
% 5.14/3.98 (node14(s183, s184)),
% 5.14/3.98 inference(unit_resolution,[status(thm)],[14931, 46, 14863])).
% 5.14/3.98 tff(14933,plain,
% 5.14/3.98 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s183, c_n1)) | (~m_main_v_state2(s183, c_t2)) | node9(s183) | node8(s183) | node10(s183) | (~node14(s183, s184)) | m_main_v_state2(s184, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s183, c_n1)) | (~m_main_v_state2(s183, c_t2)) | node9(s183) | node8(s183) | node10(s183) | (~node14(s183, s184)) | m_main_v_state2(s184, c_c2))),
% 5.14/3.98 inference(rewrite,[status(thm)],[])).
% 5.14/3.98 tff(14934,plain,
% 5.14/3.98 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s183, c_n1)) | (~m_main_v_state2(s183, c_t2)) | node9(s183) | node8(s183) | node10(s183) | (~node14(s183, s184)) | m_main_v_state2(s184, c_c2))),
% 5.14/3.98 inference(quant_inst,[status(thm)],[])).
% 5.14/3.98 tff(14935,plain,
% 5.14/3.98 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s183, c_n1)) | (~m_main_v_state2(s183, c_t2)) | node9(s183) | node8(s183) | node10(s183) | (~node14(s183, s184)) | m_main_v_state2(s184, c_c2)),
% 5.14/3.98 inference(modus_ponens,[status(thm)],[14934, 14933])).
% 5.14/3.98 tff(14936,plain,
% 5.14/3.98 ((~m_main_v_state1(s183, c_n1)) | (~m_main_v_state2(s183, c_t2)) | node9(s183) | node8(s183) | node10(s183) | m_main_v_state2(s184, c_c2)),
% 5.14/3.98 inference(unit_resolution,[status(thm)],[14935, 617, 14932])).
% 5.14/3.98 tff(14937,plain,
% 5.14/3.98 (m_main_v_state2(s184, c_c2)),
% 5.14/3.98 inference(unit_resolution,[status(thm)],[14936, 14928, 14800, 14856, 14924, 14920])).
% 5.14/3.98 tff(14938,plain,
% 5.14/3.98 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s184, c_n2)) | (~m_main_v_state2(s184, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s184, c_n2)) | (~m_main_v_state2(s184, c_c2)))),
% 5.14/3.98 inference(rewrite,[status(thm)],[])).
% 5.14/3.98 tff(14939,plain,
% 5.14/3.98 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s184, c_n2)) | (~m_main_v_state2(s184, c_c2)))),
% 5.14/3.98 inference(quant_inst,[status(thm)],[])).
% 5.14/3.98 tff(14940,plain,
% 5.14/3.98 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s184, c_n2)) | (~m_main_v_state2(s184, c_c2))),
% 5.14/3.98 inference(modus_ponens,[status(thm)],[14939, 14938])).
% 5.14/3.98 tff(14941,plain,
% 5.14/3.98 (~m_main_v_state2(s184, c_n2)),
% 5.14/3.98 inference(unit_resolution,[status(thm)],[14940, 697, 14937])).
% 5.14/3.98 tff(14942,plain,
% 5.14/3.98 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s184, c_n2) | (~node4(s184)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s184, c_n2) | (~node4(s184)))),
% 5.14/3.98 inference(rewrite,[status(thm)],[])).
% 5.14/3.98 tff(14943,plain,
% 5.14/3.98 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s184, c_n2) | (~node4(s184)))),
% 5.14/3.98 inference(quant_inst,[status(thm)],[])).
% 5.14/3.98 tff(14944,plain,
% 5.14/3.98 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s184, c_n2) | (~node4(s184))),
% 5.14/3.98 inference(modus_ponens,[status(thm)],[14943, 14942])).
% 5.14/3.98 tff(14945,plain,
% 5.14/3.98 (~node4(s184)),
% 5.14/3.98 inference(unit_resolution,[status(thm)],[14944, 388, 14941])).
% 5.14/3.98 tff(14946,plain,
% 5.14/3.98 (succ(s184, s185) <=> succ(s184, s185)),
% 5.14/3.98 inference(rewrite,[status(thm)],[])).
% 5.14/3.98 tff(14947,axiom,(succ(s184, s185)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound185')).
% 5.14/3.98 tff(14948,plain,
% 5.14/3.98 (succ(s184, s185)),
% 5.14/3.98 inference(modus_ponens,[status(thm)],[14947, 14946])).
% 5.14/3.98 tff(14949,plain,
% 5.14/3.98 (((~![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))),
% 5.14/3.98 inference(rewrite,[status(thm)],[])).
% 5.14/3.98 tff(14950,plain,
% 5.14/3.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s184, s185)) | trans(s184, s185))),
% 5.14/3.98 inference(quant_inst,[status(thm)],[])).
% 5.14/3.98 tff(14951,plain,
% 5.14/3.98 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s184, s185)) | trans(s184, s185)),
% 5.14/3.98 inference(modus_ponens,[status(thm)],[14950, 14949])).
% 5.14/3.98 tff(14952,plain,
% 5.14/3.98 (trans(s184, s185)),
% 5.14/3.98 inference(unit_resolution,[status(thm)],[14951, 14948, 32])).
% 5.14/3.98 tff(14953,plain,
% 5.14/3.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s184, s185)) | node7(s184, s185))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s184, s185)) | node7(s184, s185))),
% 5.14/3.98 inference(rewrite,[status(thm)],[])).
% 5.14/3.98 tff(14954,plain,
% 5.14/3.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s184, s185)) | node7(s184, s185))),
% 5.14/3.98 inference(quant_inst,[status(thm)],[])).
% 5.14/3.98 tff(14955,plain,
% 5.14/3.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s184, s185)) | node7(s184, s185)),
% 5.14/3.98 inference(modus_ponens,[status(thm)],[14954, 14953])).
% 5.14/3.98 tff(14956,plain,
% 5.14/3.98 (node7(s184, s185)),
% 5.14/3.98 inference(unit_resolution,[status(thm)],[14955, 206, 14952])).
% 5.14/3.98 tff(14957,plain,
% 5.14/3.98 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s184, c_c1) | node1(s184) | node2(s184) | node3(s184) | node4(s184) | node5(s184) | node6(s184, s185) | (~node7(s184, s185)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s184, c_c1) | node1(s184) | node2(s184) | node3(s184) | node4(s184) | node5(s184) | node6(s184, s185) | (~node7(s184, s185)))),
% 5.14/3.98 inference(rewrite,[status(thm)],[])).
% 5.14/3.98 tff(14958,plain,
% 5.14/3.98 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s184, c_c1) | node1(s184) | node2(s184) | node3(s184) | node4(s184) | node5(s184) | node6(s184, s185) | (~node7(s184, s185)))),
% 5.14/3.98 inference(quant_inst,[status(thm)],[])).
% 5.14/3.98 tff(14959,plain,
% 5.14/3.98 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s184, c_c1) | node1(s184) | node2(s184) | node3(s184) | node4(s184) | node5(s184) | node6(s184, s185) | (~node7(s184, s185))),
% 5.14/3.98 inference(modus_ponens,[status(thm)],[14958, 14957])).
% 5.14/3.98 tff(14960,plain,
% 5.14/3.98 (m_main_v_state1(s184, c_c1) | node1(s184) | node2(s184) | node3(s184) | node4(s184) | node5(s184) | node6(s184, s185)),
% 5.14/3.98 inference(unit_resolution,[status(thm)],[14959, 820, 14956])).
% 5.14/3.98 tff(14961,plain,
% 5.14/3.98 (node6(s184, s185)),
% 5.14/3.98 inference(unit_resolution,[status(thm)],[14960, 14945, 14909, 14905, 14901, 14897, 14880])).
% 5.14/3.98 tff(14962,plain,
% 5.14/3.98 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s184, c_t1)) | m_main_v_state1(s185, c_t1) | (~node6(s184, s185)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s184, c_t1)) | m_main_v_state1(s185, c_t1) | (~node6(s184, s185)))),
% 5.14/3.98 inference(rewrite,[status(thm)],[])).
% 5.14/3.98 tff(14963,plain,
% 5.14/3.98 (((~node6(s184, s185)) | (~m_main_v_state1(s184, c_t1)) | m_main_v_state1(s185, c_t1)) <=> ((~m_main_v_state1(s184, c_t1)) | m_main_v_state1(s185, c_t1) | (~node6(s184, s185)))),
% 5.14/3.98 inference(rewrite,[status(thm)],[])).
% 5.14/3.98 tff(14964,plain,
% 5.14/3.98 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s184, s185)) | (~m_main_v_state1(s184, c_t1)) | m_main_v_state1(s185, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s184, c_t1)) | m_main_v_state1(s185, c_t1) | (~node6(s184, s185))))),
% 5.14/3.98 inference(monotonicity,[status(thm)],[14963])).
% 5.14/3.98 tff(14965,plain,
% 5.14/3.98 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s184, s185)) | (~m_main_v_state1(s184, c_t1)) | m_main_v_state1(s185, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s184, c_t1)) | m_main_v_state1(s185, c_t1) | (~node6(s184, s185)))),
% 5.14/3.98 inference(transitivity,[status(thm)],[14964, 14962])).
% 5.14/3.98 tff(14966,plain,
% 5.14/3.98 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s184, s185)) | (~m_main_v_state1(s184, c_t1)) | m_main_v_state1(s185, c_t1))),
% 5.14/3.98 inference(quant_inst,[status(thm)],[])).
% 5.14/3.98 tff(14967,plain,
% 5.14/3.98 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s184, c_t1)) | m_main_v_state1(s185, c_t1) | (~node6(s184, s185))),
% 5.14/3.98 inference(modus_ponens,[status(thm)],[14966, 14965])).
% 5.14/3.98 tff(14968,plain,
% 5.14/3.98 (m_main_v_state1(s185, c_t1)),
% 5.14/3.98 inference(unit_resolution,[status(thm)],[14967, 856, 14872, 14961])).
% 5.14/3.98 tff(14969,plain,
% 5.14/3.98 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s184, c_t2)) | (~m_main_v_state2(s184, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s184, c_t2)) | (~m_main_v_state2(s184, c_c2)))),
% 5.14/3.98 inference(rewrite,[status(thm)],[])).
% 5.14/3.98 tff(14970,plain,
% 5.14/3.98 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s184, c_t2)) | (~m_main_v_state2(s184, c_c2)))),
% 5.14/3.98 inference(quant_inst,[status(thm)],[])).
% 5.14/3.98 tff(14971,plain,
% 5.14/3.98 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s184, c_t2)) | (~m_main_v_state2(s184, c_c2))),
% 5.14/3.98 inference(modus_ponens,[status(thm)],[14970, 14969])).
% 5.14/3.98 tff(14972,plain,
% 5.14/3.98 (~m_main_v_state2(s184, c_t2)),
% 5.14/3.98 inference(unit_resolution,[status(thm)],[14971, 260, 14937])).
% 5.14/3.98 tff(14973,plain,
% 5.14/3.98 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s184, c_t2) | (~node12(s184)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s184, c_t2) | (~node12(s184)))),
% 5.14/3.98 inference(rewrite,[status(thm)],[])).
% 5.14/3.98 tff(14974,plain,
% 5.14/3.98 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s184, c_t2) | (~node12(s184)))),
% 5.14/3.98 inference(quant_inst,[status(thm)],[])).
% 5.14/3.98 tff(14975,plain,
% 5.14/3.98 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s184, c_t2) | (~node12(s184))),
% 5.14/3.98 inference(modus_ponens,[status(thm)],[14974, 14973])).
% 5.14/3.98 tff(14976,plain,
% 5.14/3.98 (~node12(s184)),
% 5.14/3.98 inference(unit_resolution,[status(thm)],[14975, 633, 14972])).
% 5.14/3.98 tff(14977,plain,
% 5.14/3.98 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s184, c_n1) | (~node11(s184)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s184, c_n1) | (~node11(s184)))),
% 5.14/3.98 inference(rewrite,[status(thm)],[])).
% 5.14/3.98 tff(14978,plain,
% 5.14/3.98 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s184, c_n1) | (~node11(s184)))),
% 5.14/3.98 inference(quant_inst,[status(thm)],[])).
% 5.14/3.98 tff(14979,plain,
% 5.14/3.98 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s184, c_n1) | (~node11(s184))),
% 5.14/3.98 inference(modus_ponens,[status(thm)],[14978, 14977])).
% 5.14/3.98 tff(14980,plain,
% 5.14/3.98 (~node11(s184)),
% 5.14/3.98 inference(unit_resolution,[status(thm)],[14979, 238, 14876])).
% 5.14/3.98 tff(14981,plain,
% 5.14/3.98 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s184, c_c1) | (~node10(s184)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s184, c_c1) | (~node10(s184)))),
% 5.14/3.98 inference(rewrite,[status(thm)],[])).
% 5.14/3.98 tff(14982,plain,
% 5.14/3.98 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s184, c_c1) | (~node10(s184)))),
% 5.14/3.98 inference(quant_inst,[status(thm)],[])).
% 5.14/3.98 tff(14983,plain,
% 5.14/3.98 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s184, c_c1) | (~node10(s184))),
% 5.14/3.98 inference(modus_ponens,[status(thm)],[14982, 14981])).
% 5.14/3.98 tff(14984,plain,
% 5.14/3.98 (~node10(s184)),
% 5.14/3.98 inference(unit_resolution,[status(thm)],[14983, 675, 14909])).
% 5.14/3.98 tff(14985,plain,
% 5.14/3.98 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s184, c_n1) | (~node9(s184)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s184, c_n1) | (~node9(s184)))),
% 5.14/3.98 inference(rewrite,[status(thm)],[])).
% 5.14/3.98 tff(14986,plain,
% 5.14/3.98 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s184, c_n1) | (~node9(s184)))),
% 5.14/3.98 inference(quant_inst,[status(thm)],[])).
% 5.14/3.98 tff(14987,plain,
% 5.14/3.98 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s184, c_n1) | (~node9(s184))),
% 5.14/3.98 inference(modus_ponens,[status(thm)],[14986, 14985])).
% 5.14/3.98 tff(14988,plain,
% 5.14/3.98 (~node9(s184)),
% 5.14/3.98 inference(unit_resolution,[status(thm)],[14987, 686, 14876])).
% 5.14/3.99 tff(14989,plain,
% 5.14/3.99 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s184, c_n2) | (~node8(s184)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s184, c_n2) | (~node8(s184)))),
% 5.14/3.99 inference(rewrite,[status(thm)],[])).
% 5.14/3.99 tff(14990,plain,
% 5.14/3.99 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s184, c_n2) | (~node8(s184)))),
% 5.14/3.99 inference(quant_inst,[status(thm)],[])).
% 5.14/3.99 tff(14991,plain,
% 5.14/3.99 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s184, c_n2) | (~node8(s184))),
% 5.14/3.99 inference(modus_ponens,[status(thm)],[14990, 14989])).
% 5.14/3.99 tff(14992,plain,
% 5.14/3.99 (~node8(s184)),
% 5.14/3.99 inference(unit_resolution,[status(thm)],[14991, 271, 14941])).
% 5.14/3.99 tff(14993,plain,
% 5.14/3.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s184, s185)) | node14(s184, s185))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s184, s185)) | node14(s184, s185))),
% 5.14/3.99 inference(rewrite,[status(thm)],[])).
% 5.14/3.99 tff(14994,plain,
% 5.14/3.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s184, s185)) | node14(s184, s185))),
% 5.14/3.99 inference(quant_inst,[status(thm)],[])).
% 5.14/3.99 tff(14995,plain,
% 5.14/3.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s184, s185)) | node14(s184, s185)),
% 5.14/3.99 inference(modus_ponens,[status(thm)],[14994, 14993])).
% 5.14/3.99 tff(14996,plain,
% 5.14/3.99 (node14(s184, s185)),
% 5.14/3.99 inference(unit_resolution,[status(thm)],[14995, 46, 14952])).
% 5.14/3.99 tff(14997,plain,
% 5.14/3.99 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s185, c_n2) | node9(s184) | node8(s184) | node10(s184) | node11(s184) | node12(s184) | (~node14(s184, s185)) | (~m_main_v_state2(s184, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s185, c_n2) | node9(s184) | node8(s184) | node10(s184) | node11(s184) | node12(s184) | (~node14(s184, s185)) | (~m_main_v_state2(s184, c_c2)))),
% 5.14/3.99 inference(rewrite,[status(thm)],[])).
% 5.14/3.99 tff(14998,plain,
% 5.14/3.99 (((~m_main_v_state2(s184, c_c2)) | node9(s184) | node8(s184) | node10(s184) | node11(s184) | node12(s184) | (~node14(s184, s185)) | m_main_v_state2(s185, c_n2)) <=> (m_main_v_state2(s185, c_n2) | node9(s184) | node8(s184) | node10(s184) | node11(s184) | node12(s184) | (~node14(s184, s185)) | (~m_main_v_state2(s184, c_c2)))),
% 5.14/3.99 inference(rewrite,[status(thm)],[])).
% 5.14/3.99 tff(14999,plain,
% 5.14/3.99 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s184, c_c2)) | node9(s184) | node8(s184) | node10(s184) | node11(s184) | node12(s184) | (~node14(s184, s185)) | m_main_v_state2(s185, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s185, c_n2) | node9(s184) | node8(s184) | node10(s184) | node11(s184) | node12(s184) | (~node14(s184, s185)) | (~m_main_v_state2(s184, c_c2))))),
% 5.14/3.99 inference(monotonicity,[status(thm)],[14998])).
% 5.14/3.99 tff(15000,plain,
% 5.14/3.99 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s184, c_c2)) | node9(s184) | node8(s184) | node10(s184) | node11(s184) | node12(s184) | (~node14(s184, s185)) | m_main_v_state2(s185, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s185, c_n2) | node9(s184) | node8(s184) | node10(s184) | node11(s184) | node12(s184) | (~node14(s184, s185)) | (~m_main_v_state2(s184, c_c2)))),
% 5.14/3.99 inference(transitivity,[status(thm)],[14999, 14997])).
% 5.14/3.99 tff(15001,plain,
% 5.14/3.99 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s184, c_c2)) | node9(s184) | node8(s184) | node10(s184) | node11(s184) | node12(s184) | (~node14(s184, s185)) | m_main_v_state2(s185, c_n2))),
% 5.14/3.99 inference(quant_inst,[status(thm)],[])).
% 5.14/3.99 tff(15002,plain,
% 5.14/3.99 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s185, c_n2) | node9(s184) | node8(s184) | node10(s184) | node11(s184) | node12(s184) | (~node14(s184, s185)) | (~m_main_v_state2(s184, c_c2))),
% 5.14/3.99 inference(modus_ponens,[status(thm)],[15001, 15000])).
% 5.14/3.99 tff(15003,plain,
% 5.14/3.99 (m_main_v_state2(s185, c_n2) | node9(s184) | node8(s184) | node10(s184) | node11(s184) | node12(s184) | (~m_main_v_state2(s184, c_c2))),
% 5.14/3.99 inference(unit_resolution,[status(thm)],[15002, 726, 14996])).
% 5.14/3.99 tff(15004,plain,
% 5.14/3.99 (m_main_v_state2(s185, c_n2)),
% 5.14/3.99 inference(unit_resolution,[status(thm)],[15003, 14992, 14937, 14988, 14984, 14980, 14976])).
% 5.14/3.99 tff(15005,plain,
% 5.14/3.99 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s185, c_n2)) | (~m_main_v_state2(s185, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s185, c_n2)) | (~m_main_v_state2(s185, c_t2)))),
% 5.14/3.99 inference(rewrite,[status(thm)],[])).
% 5.14/3.99 tff(15006,plain,
% 5.14/3.99 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s185, c_n2)) | (~m_main_v_state2(s185, c_t2)))),
% 5.14/3.99 inference(quant_inst,[status(thm)],[])).
% 5.14/3.99 tff(15007,plain,
% 5.14/3.99 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s185, c_n2)) | (~m_main_v_state2(s185, c_t2))),
% 5.14/3.99 inference(modus_ponens,[status(thm)],[15006, 15005])).
% 5.14/3.99 tff(15008,plain,
% 5.14/3.99 (~m_main_v_state2(s185, c_t2)),
% 5.14/3.99 inference(unit_resolution,[status(thm)],[15007, 77, 15004])).
% 5.14/3.99 tff(15009,plain,
% 5.14/3.99 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s185, c_t2) | (~node15(s185)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s185, c_t2) | (~node15(s185)))),
% 5.14/3.99 inference(rewrite,[status(thm)],[])).
% 5.14/3.99 tff(15010,plain,
% 5.14/3.99 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s185, c_t2) | (~node15(s185)))),
% 5.14/3.99 inference(quant_inst,[status(thm)],[])).
% 5.14/3.99 tff(15011,plain,
% 5.14/3.99 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s185, c_t2) | (~node15(s185))),
% 5.14/3.99 inference(modus_ponens,[status(thm)],[15010, 15009])).
% 5.14/3.99 tff(15012,plain,
% 5.14/3.99 (~node15(s185)),
% 5.14/3.99 inference(unit_resolution,[status(thm)],[15011, 103, 15008])).
% 5.14/3.99 tff(15013,plain,
% 5.14/3.99 (succ(s185, s186) <=> succ(s185, s186)),
% 5.14/3.99 inference(rewrite,[status(thm)],[])).
% 5.14/3.99 tff(15014,axiom,(succ(s185, s186)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound186')).
% 5.14/3.99 tff(15015,plain,
% 5.14/3.99 (succ(s185, s186)),
% 5.14/3.99 inference(modus_ponens,[status(thm)],[15014, 15013])).
% 5.14/3.99 tff(15016,plain,
% 5.14/3.99 (((~![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))),
% 5.14/3.99 inference(rewrite,[status(thm)],[])).
% 5.14/3.99 tff(15017,plain,
% 5.14/3.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s185, s186)) | trans(s185, s186))),
% 5.14/3.99 inference(quant_inst,[status(thm)],[])).
% 5.14/3.99 tff(15018,plain,
% 5.14/3.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s185, s186)) | trans(s185, s186)),
% 5.14/3.99 inference(modus_ponens,[status(thm)],[15017, 15016])).
% 5.14/3.99 tff(15019,plain,
% 5.14/3.99 (trans(s185, s186)),
% 5.14/3.99 inference(unit_resolution,[status(thm)],[15018, 15015, 32])).
% 5.14/3.99 tff(15020,plain,
% 5.14/3.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s185, s186)) | node18(s185, s186))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s185, s186)) | node18(s185, s186))),
% 5.14/3.99 inference(rewrite,[status(thm)],[])).
% 5.14/3.99 tff(15021,plain,
% 5.14/3.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s185, s186)) | node18(s185, s186))),
% 5.14/3.99 inference(quant_inst,[status(thm)],[])).
% 5.14/3.99 tff(15022,plain,
% 5.14/3.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s185, s186)) | node18(s185, s186)),
% 5.14/3.99 inference(modus_ponens,[status(thm)],[15021, 15020])).
% 5.14/3.99 tff(15023,plain,
% 5.14/3.99 (node18(s185, s186)),
% 5.14/3.99 inference(unit_resolution,[status(thm)],[15022, 125, 15019])).
% 5.14/3.99 tff(15024,plain,
% 5.14/3.99 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s185) | (~node18(s185, s186)) | (~m_main_v_state1(s185, c_t1)) | (~m_main_v_state2(s185, c_n2)) | m_main_v_turn(s186, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s185) | (~node18(s185, s186)) | (~m_main_v_state1(s185, c_t1)) | (~m_main_v_state2(s185, c_n2)) | m_main_v_turn(s186, c_1))),
% 5.14/3.99 inference(rewrite,[status(thm)],[])).
% 5.14/3.99 tff(15025,plain,
% 5.14/3.99 (((~m_main_v_state1(s185, c_t1)) | (~m_main_v_state2(s185, c_n2)) | node15(s185) | (~node18(s185, s186)) | m_main_v_turn(s186, c_1)) <=> (node15(s185) | (~node18(s185, s186)) | (~m_main_v_state1(s185, c_t1)) | (~m_main_v_state2(s185, c_n2)) | m_main_v_turn(s186, c_1))),
% 5.14/3.99 inference(rewrite,[status(thm)],[])).
% 5.14/3.99 tff(15026,plain,
% 5.14/3.99 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s185, c_t1)) | (~m_main_v_state2(s185, c_n2)) | node15(s185) | (~node18(s185, s186)) | m_main_v_turn(s186, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s185) | (~node18(s185, s186)) | (~m_main_v_state1(s185, c_t1)) | (~m_main_v_state2(s185, c_n2)) | m_main_v_turn(s186, c_1)))),
% 5.14/3.99 inference(monotonicity,[status(thm)],[15025])).
% 5.14/3.99 tff(15027,plain,
% 5.14/3.99 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s185, c_t1)) | (~m_main_v_state2(s185, c_n2)) | node15(s185) | (~node18(s185, s186)) | m_main_v_turn(s186, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s185) | (~node18(s185, s186)) | (~m_main_v_state1(s185, c_t1)) | (~m_main_v_state2(s185, c_n2)) | m_main_v_turn(s186, c_1))),
% 5.14/3.99 inference(transitivity,[status(thm)],[15026, 15024])).
% 5.14/3.99 tff(15028,plain,
% 5.14/3.99 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s185, c_t1)) | (~m_main_v_state2(s185, c_n2)) | node15(s185) | (~node18(s185, s186)) | m_main_v_turn(s186, c_1))),
% 5.14/3.99 inference(quant_inst,[status(thm)],[])).
% 5.14/3.99 tff(15029,plain,
% 5.14/3.99 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s185) | (~node18(s185, s186)) | (~m_main_v_state1(s185, c_t1)) | (~m_main_v_state2(s185, c_n2)) | m_main_v_turn(s186, c_1)),
% 5.14/3.99 inference(modus_ponens,[status(thm)],[15028, 15027])).
% 5.14/3.99 tff(15030,plain,
% 5.14/3.99 (node15(s185) | (~m_main_v_state1(s185, c_t1)) | (~m_main_v_state2(s185, c_n2)) | m_main_v_turn(s186, c_1)),
% 5.14/3.99 inference(unit_resolution,[status(thm)],[15029, 992, 15023])).
% 5.14/3.99 tff(15031,plain,
% 5.14/3.99 (m_main_v_turn(s186, c_1)),
% 5.14/3.99 inference(unit_resolution,[status(thm)],[15030, 15012, 15004, 14968])).
% 5.14/3.99 tff(15032,plain,
% 5.14/3.99 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s186, c_1)) | (~m_main_v_turn(s186, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s186, c_1)) | (~m_main_v_turn(s186, c_2)))),
% 5.14/3.99 inference(rewrite,[status(thm)],[])).
% 5.14/3.99 tff(15033,plain,
% 5.14/3.99 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s186, c_1)) | (~m_main_v_turn(s186, c_2)))),
% 5.14/3.99 inference(quant_inst,[status(thm)],[])).
% 5.14/3.99 tff(15034,plain,
% 5.14/3.99 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s186, c_1)) | (~m_main_v_turn(s186, c_2))),
% 5.14/3.99 inference(modus_ponens,[status(thm)],[15033, 15032])).
% 5.14/3.99 tff(15035,plain,
% 5.14/3.99 (~m_main_v_turn(s186, c_2)),
% 5.14/3.99 inference(unit_resolution,[status(thm)],[15034, 156, 15031])).
% 5.14/3.99 tff(15036,plain,
% 5.14/3.99 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s186, c_2) | (~node12(s186)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s186, c_2) | (~node12(s186)))),
% 5.14/3.99 inference(rewrite,[status(thm)],[])).
% 5.14/3.99 tff(15037,plain,
% 5.14/3.99 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s186, c_2) | (~node12(s186)))),
% 5.14/3.99 inference(quant_inst,[status(thm)],[])).
% 5.14/3.99 tff(15038,plain,
% 5.14/3.99 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s186, c_2) | (~node12(s186))),
% 5.14/3.99 inference(modus_ponens,[status(thm)],[15037, 15036])).
% 5.14/3.99 tff(15039,plain,
% 5.14/3.99 (~node12(s186)),
% 5.14/3.99 inference(unit_resolution,[status(thm)],[15038, 184, 15035])).
% 5.14/3.99 tff(15040,plain,
% 5.14/3.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s185, s186)) | node14(s185, s186))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s185, s186)) | node14(s185, s186))),
% 5.14/3.99 inference(rewrite,[status(thm)],[])).
% 5.14/3.99 tff(15041,plain,
% 5.14/3.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s185, s186)) | node14(s185, s186))),
% 5.14/3.99 inference(quant_inst,[status(thm)],[])).
% 5.14/3.99 tff(15042,plain,
% 5.14/3.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s185, s186)) | node14(s185, s186)),
% 5.14/3.99 inference(modus_ponens,[status(thm)],[15041, 15040])).
% 5.14/3.99 tff(15043,plain,
% 5.14/3.99 (node14(s185, s186)),
% 5.14/3.99 inference(unit_resolution,[status(thm)],[15042, 46, 15019])).
% 5.14/3.99 tff(15044,plain,
% 5.14/3.99 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s185, c_t1)) | (~m_main_v_state2(s185, c_n2)) | (~node14(s185, s186)) | m_main_v_state2(s186, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s185, c_t1)) | (~m_main_v_state2(s185, c_n2)) | (~node14(s185, s186)) | m_main_v_state2(s186, c_t2))),
% 5.14/3.99 inference(rewrite,[status(thm)],[])).
% 5.14/3.99 tff(15045,plain,
% 5.14/3.99 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s185, c_t1)) | (~m_main_v_state2(s185, c_n2)) | (~node14(s185, s186)) | m_main_v_state2(s186, c_t2))),
% 5.14/3.99 inference(quant_inst,[status(thm)],[])).
% 5.14/3.99 tff(15046,plain,
% 5.14/3.99 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s185, c_t1)) | (~m_main_v_state2(s185, c_n2)) | (~node14(s185, s186)) | m_main_v_state2(s186, c_t2)),
% 5.14/3.99 inference(modus_ponens,[status(thm)],[15045, 15044])).
% 5.14/3.99 tff(15047,plain,
% 5.14/3.99 ((~m_main_v_state1(s185, c_t1)) | (~m_main_v_state2(s185, c_n2)) | m_main_v_state2(s186, c_t2)),
% 5.14/3.99 inference(unit_resolution,[status(thm)],[15046, 922, 15043])).
% 5.14/3.99 tff(15048,plain,
% 5.14/3.99 (m_main_v_state2(s186, c_t2)),
% 5.14/3.99 inference(unit_resolution,[status(thm)],[15047, 14968, 15004])).
% 5.14/3.99 tff(15049,plain,
% 5.14/3.99 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s186, c_n2)) | (~m_main_v_state2(s186, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s186, c_n2)) | (~m_main_v_state2(s186, c_t2)))),
% 5.14/3.99 inference(rewrite,[status(thm)],[])).
% 5.14/3.99 tff(15050,plain,
% 5.14/3.99 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s186, c_n2)) | (~m_main_v_state2(s186, c_t2)))),
% 5.14/3.99 inference(quant_inst,[status(thm)],[])).
% 5.14/3.99 tff(15051,plain,
% 5.14/3.99 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s186, c_n2)) | (~m_main_v_state2(s186, c_t2))),
% 5.14/3.99 inference(modus_ponens,[status(thm)],[15050, 15049])).
% 5.14/3.99 tff(15052,plain,
% 5.14/3.99 (~m_main_v_state2(s186, c_n2)),
% 5.14/3.99 inference(unit_resolution,[status(thm)],[15051, 77, 15048])).
% 5.14/3.99 tff(15053,plain,
% 5.14/3.99 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s186, c_n2) | (~node8(s186)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s186, c_n2) | (~node8(s186)))),
% 5.14/3.99 inference(rewrite,[status(thm)],[])).
% 5.14/3.99 tff(15054,plain,
% 5.14/3.99 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s186, c_n2) | (~node8(s186)))),
% 5.14/3.99 inference(quant_inst,[status(thm)],[])).
% 5.14/3.99 tff(15055,plain,
% 5.14/3.99 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s186, c_n2) | (~node8(s186))),
% 5.14/3.99 inference(modus_ponens,[status(thm)],[15054, 15053])).
% 5.14/3.99 tff(15056,plain,
% 5.14/3.99 (~node8(s186)),
% 5.14/3.99 inference(unit_resolution,[status(thm)],[15055, 271, 15052])).
% 5.14/3.99 tff(15057,plain,
% 5.14/3.99 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s186, c_n2) | (~node9(s186)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s186, c_n2) | (~node9(s186)))),
% 5.14/3.99 inference(rewrite,[status(thm)],[])).
% 5.14/3.99 tff(15058,plain,
% 5.14/3.99 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s186, c_n2) | (~node9(s186)))),
% 5.14/3.99 inference(quant_inst,[status(thm)],[])).
% 5.14/3.99 tff(15059,plain,
% 5.14/3.99 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s186, c_n2) | (~node9(s186))),
% 5.14/3.99 inference(modus_ponens,[status(thm)],[15058, 15057])).
% 5.14/3.99 tff(15060,plain,
% 5.14/3.99 (~node9(s186)),
% 5.14/3.99 inference(unit_resolution,[status(thm)],[15059, 88, 15052])).
% 5.14/3.99 tff(15061,plain,
% 5.14/3.99 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s186, c_n2) | (~node10(s186)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s186, c_n2) | (~node10(s186)))),
% 5.14/3.99 inference(rewrite,[status(thm)],[])).
% 5.14/3.99 tff(15062,plain,
% 5.14/3.99 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s186, c_n2) | (~node10(s186)))),
% 5.14/3.99 inference(quant_inst,[status(thm)],[])).
% 5.14/3.99 tff(15063,plain,
% 5.14/3.99 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s186, c_n2) | (~node10(s186))),
% 5.14/3.99 inference(modus_ponens,[status(thm)],[15062, 15061])).
% 5.14/3.99 tff(15064,plain,
% 5.14/3.99 (~node10(s186)),
% 5.14/3.99 inference(unit_resolution,[status(thm)],[15063, 249, 15052])).
% 5.14/3.99 tff(15065,plain,
% 5.14/3.99 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s186, c_t2)) | (~m_main_v_state2(s186, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s186, c_t2)) | (~m_main_v_state2(s186, c_c2)))),
% 5.14/3.99 inference(rewrite,[status(thm)],[])).
% 5.14/3.99 tff(15066,plain,
% 5.14/3.99 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s186, c_t2)) | (~m_main_v_state2(s186, c_c2)))),
% 5.14/3.99 inference(quant_inst,[status(thm)],[])).
% 5.14/3.99 tff(15067,plain,
% 5.14/3.99 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s186, c_t2)) | (~m_main_v_state2(s186, c_c2))),
% 5.14/3.99 inference(modus_ponens,[status(thm)],[15066, 15065])).
% 5.14/3.99 tff(15068,plain,
% 5.14/3.99 (~m_main_v_state2(s186, c_c2)),
% 5.14/3.99 inference(unit_resolution,[status(thm)],[15067, 260, 15048])).
% 5.14/3.99 tff(15069,plain,
% 5.14/3.99 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s185, c_n2)) | (~m_main_v_state2(s185, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s185, c_n2)) | (~m_main_v_state2(s185, c_c2)))),
% 5.14/3.99 inference(rewrite,[status(thm)],[])).
% 5.14/3.99 tff(15070,plain,
% 5.14/3.99 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s185, c_n2)) | (~m_main_v_state2(s185, c_c2)))),
% 5.14/3.99 inference(quant_inst,[status(thm)],[])).
% 5.14/3.99 tff(15071,plain,
% 5.14/3.99 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s185, c_n2)) | (~m_main_v_state2(s185, c_c2))),
% 5.14/3.99 inference(modus_ponens,[status(thm)],[15070, 15069])).
% 5.14/3.99 tff(15072,plain,
% 5.14/3.99 (~m_main_v_state2(s185, c_c2)),
% 5.14/3.99 inference(unit_resolution,[status(thm)],[15071, 697, 15004])).
% 5.14/3.99 tff(15073,plain,
% 5.14/3.99 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s185, c_c2) | (~node3(s185)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s185, c_c2) | (~node3(s185)))),
% 5.14/3.99 inference(rewrite,[status(thm)],[])).
% 5.14/3.99 tff(15074,plain,
% 5.14/3.99 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s185, c_c2) | (~node3(s185)))),
% 5.14/3.99 inference(quant_inst,[status(thm)],[])).
% 5.14/3.99 tff(15075,plain,
% 5.14/3.99 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s185, c_c2) | (~node3(s185))),
% 5.14/3.99 inference(modus_ponens,[status(thm)],[15074, 15073])).
% 5.14/3.99 tff(15076,plain,
% 5.14/3.99 (~node3(s185)),
% 5.14/3.99 inference(unit_resolution,[status(thm)],[15075, 399, 15072])).
% 5.14/3.99 tff(15077,plain,
% 5.14/3.99 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s184, c_n1) | (~m_main_v_state1(s185, c_n1)) | (~node6(s184, s185)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s184, c_n1) | (~m_main_v_state1(s185, c_n1)) | (~node6(s184, s185)))),
% 5.14/3.99 inference(rewrite,[status(thm)],[])).
% 5.14/3.99 tff(15078,plain,
% 5.14/3.99 (((~node6(s184, s185)) | m_main_v_state1(s184, c_n1) | (~m_main_v_state1(s185, c_n1))) <=> (m_main_v_state1(s184, c_n1) | (~m_main_v_state1(s185, c_n1)) | (~node6(s184, s185)))),
% 5.14/3.99 inference(rewrite,[status(thm)],[])).
% 5.14/3.99 tff(15079,plain,
% 5.14/3.99 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s184, s185)) | m_main_v_state1(s184, c_n1) | (~m_main_v_state1(s185, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s184, c_n1) | (~m_main_v_state1(s185, c_n1)) | (~node6(s184, s185))))),
% 5.14/3.99 inference(monotonicity,[status(thm)],[15078])).
% 5.14/3.99 tff(15080,plain,
% 5.14/3.99 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s184, s185)) | m_main_v_state1(s184, c_n1) | (~m_main_v_state1(s185, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s184, c_n1) | (~m_main_v_state1(s185, c_n1)) | (~node6(s184, s185)))),
% 5.14/3.99 inference(transitivity,[status(thm)],[15079, 15077])).
% 5.14/3.99 tff(15081,plain,
% 5.14/3.99 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s184, s185)) | m_main_v_state1(s184, c_n1) | (~m_main_v_state1(s185, c_n1)))),
% 5.14/3.99 inference(quant_inst,[status(thm)],[])).
% 5.14/3.99 tff(15082,plain,
% 5.14/3.99 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s184, c_n1) | (~m_main_v_state1(s185, c_n1)) | (~node6(s184, s185))),
% 5.14/3.99 inference(modus_ponens,[status(thm)],[15081, 15080])).
% 5.14/3.99 tff(15083,plain,
% 5.14/3.99 (~m_main_v_state1(s185, c_n1)),
% 5.14/3.99 inference(unit_resolution,[status(thm)],[15082, 835, 14876, 14961])).
% 5.14/3.99 tff(15084,plain,
% 5.14/3.99 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s185, c_n1) | (~node2(s185)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s185, c_n1) | (~node2(s185)))),
% 5.14/3.99 inference(rewrite,[status(thm)],[])).
% 5.14/3.99 tff(15085,plain,
% 5.14/3.99 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s185, c_n1) | (~node2(s185)))),
% 5.14/3.99 inference(quant_inst,[status(thm)],[])).
% 5.14/3.99 tff(15086,plain,
% 5.14/3.99 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s185, c_n1) | (~node2(s185))),
% 5.14/3.99 inference(modus_ponens,[status(thm)],[15085, 15084])).
% 5.14/3.99 tff(15087,plain,
% 5.14/3.99 (~node2(s185)),
% 5.14/3.99 inference(unit_resolution,[status(thm)],[15086, 787, 15083])).
% 5.14/3.99 tff(15088,plain,
% 5.14/3.99 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s185, c_t2) | (~node1(s185)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s185, c_t2) | (~node1(s185)))),
% 5.14/3.99 inference(rewrite,[status(thm)],[])).
% 5.14/3.99 tff(15089,plain,
% 5.14/3.99 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s185, c_t2) | (~node1(s185)))),
% 5.14/3.99 inference(quant_inst,[status(thm)],[])).
% 5.14/3.99 tff(15090,plain,
% 5.14/3.99 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s185, c_t2) | (~node1(s185))),
% 5.14/3.99 inference(modus_ponens,[status(thm)],[15089, 15088])).
% 5.14/3.99 tff(15091,plain,
% 5.14/3.99 (~node1(s185)),
% 5.14/3.99 inference(unit_resolution,[status(thm)],[15090, 195, 15008])).
% 5.14/3.99 tff(15092,plain,
% 5.14/3.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s185, s186)) | node7(s185, s186))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s185, s186)) | node7(s185, s186))),
% 5.14/3.99 inference(rewrite,[status(thm)],[])).
% 5.14/3.99 tff(15093,plain,
% 5.14/3.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s185, s186)) | node7(s185, s186))),
% 5.14/3.99 inference(quant_inst,[status(thm)],[])).
% 5.14/3.99 tff(15094,plain,
% 5.14/3.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s185, s186)) | node7(s185, s186)),
% 5.14/3.99 inference(modus_ponens,[status(thm)],[15093, 15092])).
% 5.14/3.99 tff(15095,plain,
% 5.14/3.99 (node7(s185, s186)),
% 5.14/3.99 inference(unit_resolution,[status(thm)],[15094, 206, 15019])).
% 5.14/3.99 tff(15096,plain,
% 5.14/3.99 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s185, c_t1)) | (~m_main_v_state2(s185, c_n2)) | m_main_v_state1(s186, c_c1) | node1(s185) | node2(s185) | node3(s185) | (~node7(s185, s186)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s185, c_t1)) | (~m_main_v_state2(s185, c_n2)) | m_main_v_state1(s186, c_c1) | node1(s185) | node2(s185) | node3(s185) | (~node7(s185, s186)))),
% 5.14/3.99 inference(rewrite,[status(thm)],[])).
% 5.14/3.99 tff(15097,plain,
% 5.14/3.99 (((~m_main_v_state1(s185, c_t1)) | (~m_main_v_state2(s185, c_n2)) | node1(s185) | node2(s185) | node3(s185) | (~node7(s185, s186)) | m_main_v_state1(s186, c_c1)) <=> ((~m_main_v_state1(s185, c_t1)) | (~m_main_v_state2(s185, c_n2)) | m_main_v_state1(s186, c_c1) | node1(s185) | node2(s185) | node3(s185) | (~node7(s185, s186)))),
% 5.14/3.99 inference(rewrite,[status(thm)],[])).
% 5.14/3.99 tff(15098,plain,
% 5.14/3.99 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s185, c_t1)) | (~m_main_v_state2(s185, c_n2)) | node1(s185) | node2(s185) | node3(s185) | (~node7(s185, s186)) | m_main_v_state1(s186, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s185, c_t1)) | (~m_main_v_state2(s185, c_n2)) | m_main_v_state1(s186, c_c1) | node1(s185) | node2(s185) | node3(s185) | (~node7(s185, s186))))),
% 5.14/3.99 inference(monotonicity,[status(thm)],[15097])).
% 5.14/3.99 tff(15099,plain,
% 5.14/3.99 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s185, c_t1)) | (~m_main_v_state2(s185, c_n2)) | node1(s185) | node2(s185) | node3(s185) | (~node7(s185, s186)) | m_main_v_state1(s186, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s185, c_t1)) | (~m_main_v_state2(s185, c_n2)) | m_main_v_state1(s186, c_c1) | node1(s185) | node2(s185) | node3(s185) | (~node7(s185, s186)))),
% 5.14/3.99 inference(transitivity,[status(thm)],[15098, 15096])).
% 5.14/3.99 tff(15100,plain,
% 5.14/3.99 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s185, c_t1)) | (~m_main_v_state2(s185, c_n2)) | node1(s185) | node2(s185) | node3(s185) | (~node7(s185, s186)) | m_main_v_state1(s186, c_c1))),
% 5.14/4.00 inference(quant_inst,[status(thm)],[])).
% 5.14/4.00 tff(15101,plain,
% 5.14/4.00 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s185, c_t1)) | (~m_main_v_state2(s185, c_n2)) | m_main_v_state1(s186, c_c1) | node1(s185) | node2(s185) | node3(s185) | (~node7(s185, s186))),
% 5.14/4.00 inference(modus_ponens,[status(thm)],[15100, 15099])).
% 5.14/4.00 tff(15102,plain,
% 5.14/4.00 ((~m_main_v_state1(s185, c_t1)) | (~m_main_v_state2(s185, c_n2)) | m_main_v_state1(s186, c_c1) | node1(s185) | node2(s185) | node3(s185)),
% 5.14/4.00 inference(unit_resolution,[status(thm)],[15101, 892, 15095])).
% 5.14/4.00 tff(15103,plain,
% 5.14/4.00 (m_main_v_state1(s186, c_c1)),
% 5.14/4.00 inference(unit_resolution,[status(thm)],[15102, 15091, 15004, 14968, 15087, 15076])).
% 5.14/4.00 tff(15104,plain,
% 5.14/4.00 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s186, c_n1)) | (~m_main_v_state1(s186, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s186, c_n1)) | (~m_main_v_state1(s186, c_c1)))),
% 5.14/4.00 inference(rewrite,[status(thm)],[])).
% 5.14/4.00 tff(15105,plain,
% 5.14/4.00 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s186, c_n1)) | (~m_main_v_state1(s186, c_c1)))),
% 5.14/4.00 inference(quant_inst,[status(thm)],[])).
% 5.14/4.00 tff(15106,plain,
% 5.14/4.00 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s186, c_n1)) | (~m_main_v_state1(s186, c_c1))),
% 5.14/4.00 inference(modus_ponens,[status(thm)],[15105, 15104])).
% 5.14/4.00 tff(15107,plain,
% 5.14/4.00 (~m_main_v_state1(s186, c_n1)),
% 5.14/4.00 inference(unit_resolution,[status(thm)],[15106, 454, 15103])).
% 5.14/4.00 tff(15108,plain,
% 5.14/4.00 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s186, c_n1) | (~node11(s186)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s186, c_n1) | (~node11(s186)))),
% 5.14/4.00 inference(rewrite,[status(thm)],[])).
% 5.14/4.00 tff(15109,plain,
% 5.14/4.00 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s186, c_n1) | (~node11(s186)))),
% 5.14/4.00 inference(quant_inst,[status(thm)],[])).
% 5.14/4.00 tff(15110,plain,
% 5.14/4.00 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s186, c_n1) | (~node11(s186))),
% 5.14/4.00 inference(modus_ponens,[status(thm)],[15109, 15108])).
% 5.14/4.00 tff(15111,plain,
% 5.14/4.00 (~node11(s186)),
% 5.14/4.00 inference(unit_resolution,[status(thm)],[15110, 238, 15107])).
% 5.14/4.00 tff(15112,plain,
% 5.14/4.00 (succ(s186, s187) <=> succ(s186, s187)),
% 5.14/4.00 inference(rewrite,[status(thm)],[])).
% 5.14/4.00 tff(15113,axiom,(succ(s186, s187)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound187')).
% 5.14/4.00 tff(15114,plain,
% 5.14/4.00 (succ(s186, s187)),
% 5.14/4.00 inference(modus_ponens,[status(thm)],[15113, 15112])).
% 5.14/4.00 tff(15115,plain,
% 5.14/4.00 (((~![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))),
% 5.14/4.00 inference(rewrite,[status(thm)],[])).
% 5.14/4.00 tff(15116,plain,
% 5.14/4.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s186, s187)) | trans(s186, s187))),
% 5.14/4.00 inference(quant_inst,[status(thm)],[])).
% 5.14/4.00 tff(15117,plain,
% 5.14/4.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s186, s187)) | trans(s186, s187)),
% 5.14/4.00 inference(modus_ponens,[status(thm)],[15116, 15115])).
% 5.14/4.00 tff(15118,plain,
% 5.14/4.00 (trans(s186, s187)),
% 5.14/4.00 inference(unit_resolution,[status(thm)],[15117, 15114, 32])).
% 5.14/4.00 tff(15119,plain,
% 5.14/4.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s186, s187)) | node14(s186, s187))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s186, s187)) | node14(s186, s187))),
% 5.14/4.00 inference(rewrite,[status(thm)],[])).
% 5.14/4.00 tff(15120,plain,
% 5.14/4.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s186, s187)) | node14(s186, s187))),
% 5.14/4.00 inference(quant_inst,[status(thm)],[])).
% 5.14/4.00 tff(15121,plain,
% 5.14/4.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s186, s187)) | node14(s186, s187)),
% 5.14/4.00 inference(modus_ponens,[status(thm)],[15120, 15119])).
% 5.14/4.00 tff(15122,plain,
% 5.14/4.00 (node14(s186, s187)),
% 5.14/4.00 inference(unit_resolution,[status(thm)],[15121, 46, 15118])).
% 5.14/4.00 tff(15123,plain,
% 5.14/4.00 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s186, c_c2) | node9(s186) | node8(s186) | node10(s186) | node11(s186) | node12(s186) | node13(s186, s187) | (~node14(s186, s187)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s186, c_c2) | node9(s186) | node8(s186) | node10(s186) | node11(s186) | node12(s186) | node13(s186, s187) | (~node14(s186, s187)))),
% 5.14/4.00 inference(rewrite,[status(thm)],[])).
% 5.14/4.00 tff(15124,plain,
% 5.14/4.00 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s186, c_c2) | node9(s186) | node8(s186) | node10(s186) | node11(s186) | node12(s186) | node13(s186, s187) | (~node14(s186, s187)))),
% 5.14/4.00 inference(quant_inst,[status(thm)],[])).
% 5.14/4.00 tff(15125,plain,
% 5.14/4.00 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s186, c_c2) | node9(s186) | node8(s186) | node10(s186) | node11(s186) | node12(s186) | node13(s186, s187) | (~node14(s186, s187))),
% 5.14/4.00 inference(modus_ponens,[status(thm)],[15124, 15123])).
% 5.14/4.00 tff(15126,plain,
% 5.14/4.00 (m_main_v_state2(s186, c_c2) | node9(s186) | node8(s186) | node10(s186) | node11(s186) | node12(s186) | node13(s186, s187)),
% 5.14/4.00 inference(unit_resolution,[status(thm)],[15125, 296, 15122])).
% 5.14/4.00 tff(15127,plain,
% 5.14/4.00 (node13(s186, s187)),
% 5.14/4.00 inference(unit_resolution,[status(thm)],[15126, 15111, 15068, 15064, 15060, 15056, 15039])).
% 5.14/4.00 tff(15128,plain,
% 5.14/4.00 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s186, c_n2) | (~m_main_v_state2(s187, c_n2)) | (~node13(s186, s187)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s186, c_n2) | (~m_main_v_state2(s187, c_n2)) | (~node13(s186, s187)))),
% 5.14/4.00 inference(rewrite,[status(thm)],[])).
% 5.14/4.00 tff(15129,plain,
% 5.14/4.00 (((~node13(s186, s187)) | m_main_v_state2(s186, c_n2) | (~m_main_v_state2(s187, c_n2))) <=> (m_main_v_state2(s186, c_n2) | (~m_main_v_state2(s187, c_n2)) | (~node13(s186, s187)))),
% 5.14/4.00 inference(rewrite,[status(thm)],[])).
% 5.14/4.00 tff(15130,plain,
% 5.14/4.00 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s186, s187)) | m_main_v_state2(s186, c_n2) | (~m_main_v_state2(s187, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s186, c_n2) | (~m_main_v_state2(s187, c_n2)) | (~node13(s186, s187))))),
% 5.14/4.00 inference(monotonicity,[status(thm)],[15129])).
% 5.14/4.00 tff(15131,plain,
% 5.14/4.00 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s186, s187)) | m_main_v_state2(s186, c_n2) | (~m_main_v_state2(s187, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s186, c_n2) | (~m_main_v_state2(s187, c_n2)) | (~node13(s186, s187)))),
% 5.14/4.00 inference(transitivity,[status(thm)],[15130, 15128])).
% 5.14/4.00 tff(15132,plain,
% 5.14/4.00 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s186, s187)) | m_main_v_state2(s186, c_n2) | (~m_main_v_state2(s187, c_n2)))),
% 5.14/4.00 inference(quant_inst,[status(thm)],[])).
% 5.14/4.00 tff(15133,plain,
% 5.14/4.00 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s186, c_n2) | (~m_main_v_state2(s187, c_n2)) | (~node13(s186, s187))),
% 5.14/4.00 inference(modus_ponens,[status(thm)],[15132, 15131])).
% 5.14/4.00 tff(15134,plain,
% 5.14/4.00 (~m_main_v_state2(s187, c_n2)),
% 5.14/4.00 inference(unit_resolution,[status(thm)],[15133, 311, 15052, 15127])).
% 5.14/4.00 tff(15135,plain,
% 5.14/4.00 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s187, c_n2) | (~node9(s187)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s187, c_n2) | (~node9(s187)))),
% 5.14/4.00 inference(rewrite,[status(thm)],[])).
% 5.14/4.00 tff(15136,plain,
% 5.14/4.00 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s187, c_n2) | (~node9(s187)))),
% 5.14/4.00 inference(quant_inst,[status(thm)],[])).
% 5.14/4.00 tff(15137,plain,
% 5.14/4.00 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s187, c_n2) | (~node9(s187))),
% 5.14/4.00 inference(modus_ponens,[status(thm)],[15136, 15135])).
% 5.14/4.00 tff(15138,plain,
% 5.14/4.00 (~node9(s187)),
% 5.14/4.00 inference(unit_resolution,[status(thm)],[15137, 88, 15134])).
% 5.14/4.00 tff(15139,plain,
% 5.14/4.00 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s187, c_n2) | (~node10(s187)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s187, c_n2) | (~node10(s187)))),
% 5.14/4.00 inference(rewrite,[status(thm)],[])).
% 5.14/4.00 tff(15140,plain,
% 5.14/4.00 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s187, c_n2) | (~node10(s187)))),
% 5.14/4.00 inference(quant_inst,[status(thm)],[])).
% 5.14/4.00 tff(15141,plain,
% 5.14/4.00 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s187, c_n2) | (~node10(s187))),
% 5.14/4.00 inference(modus_ponens,[status(thm)],[15140, 15139])).
% 5.14/4.00 tff(15142,plain,
% 5.14/4.00 (~node10(s187)),
% 5.14/4.00 inference(unit_resolution,[status(thm)],[15141, 249, 15134])).
% 5.14/4.00 tff(15143,plain,
% 5.14/4.00 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s186, c_t2)) | m_main_v_state2(s187, c_t2) | (~node13(s186, s187)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s186, c_t2)) | m_main_v_state2(s187, c_t2) | (~node13(s186, s187)))),
% 5.14/4.00 inference(rewrite,[status(thm)],[])).
% 5.14/4.00 tff(15144,plain,
% 5.14/4.00 (((~node13(s186, s187)) | (~m_main_v_state2(s186, c_t2)) | m_main_v_state2(s187, c_t2)) <=> ((~m_main_v_state2(s186, c_t2)) | m_main_v_state2(s187, c_t2) | (~node13(s186, s187)))),
% 5.14/4.00 inference(rewrite,[status(thm)],[])).
% 5.14/4.00 tff(15145,plain,
% 5.14/4.00 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s186, s187)) | (~m_main_v_state2(s186, c_t2)) | m_main_v_state2(s187, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s186, c_t2)) | m_main_v_state2(s187, c_t2) | (~node13(s186, s187))))),
% 5.14/4.00 inference(monotonicity,[status(thm)],[15144])).
% 5.14/4.00 tff(15146,plain,
% 5.14/4.00 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s186, s187)) | (~m_main_v_state2(s186, c_t2)) | m_main_v_state2(s187, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s186, c_t2)) | m_main_v_state2(s187, c_t2) | (~node13(s186, s187)))),
% 5.14/4.00 inference(transitivity,[status(thm)],[15145, 15143])).
% 5.14/4.00 tff(15147,plain,
% 5.14/4.00 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s186, s187)) | (~m_main_v_state2(s186, c_t2)) | m_main_v_state2(s187, c_t2))),
% 5.14/4.00 inference(quant_inst,[status(thm)],[])).
% 5.14/4.00 tff(15148,plain,
% 5.14/4.00 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s186, c_t2)) | m_main_v_state2(s187, c_t2) | (~node13(s186, s187))),
% 5.14/4.00 inference(modus_ponens,[status(thm)],[15147, 15146])).
% 5.14/4.00 tff(15149,plain,
% 5.14/4.00 (m_main_v_state2(s187, c_t2)),
% 5.14/4.00 inference(unit_resolution,[status(thm)],[15148, 518, 15048, 15127])).
% 5.14/4.00 tff(15150,plain,
% 5.14/4.00 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s186, c_t1)) | (~m_main_v_state1(s186, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s186, c_t1)) | (~m_main_v_state1(s186, c_c1)))),
% 5.14/4.00 inference(rewrite,[status(thm)],[])).
% 5.14/4.00 tff(15151,plain,
% 5.14/4.00 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s186, c_t1)) | (~m_main_v_state1(s186, c_c1)))),
% 5.14/4.00 inference(quant_inst,[status(thm)],[])).
% 5.14/4.00 tff(15152,plain,
% 5.14/4.00 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s186, c_t1)) | (~m_main_v_state1(s186, c_c1))),
% 5.14/4.00 inference(modus_ponens,[status(thm)],[15151, 15150])).
% 5.14/4.00 tff(15153,plain,
% 5.14/4.00 (~m_main_v_state1(s186, c_t1)),
% 5.14/4.00 inference(unit_resolution,[status(thm)],[15152, 539, 15103])).
% 5.14/4.00 tff(15154,plain,
% 5.14/4.00 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s186, c_t1) | (~node5(s186)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s186, c_t1) | (~node5(s186)))),
% 5.14/4.00 inference(rewrite,[status(thm)],[])).
% 5.14/4.00 tff(15155,plain,
% 5.14/4.00 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s186, c_t1) | (~node5(s186)))),
% 5.14/4.00 inference(quant_inst,[status(thm)],[])).
% 5.14/4.00 tff(15156,plain,
% 5.14/4.00 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s186, c_t1) | (~node5(s186))),
% 5.14/4.00 inference(modus_ponens,[status(thm)],[15155, 15154])).
% 5.14/4.00 tff(15157,plain,
% 5.14/4.00 (~node5(s186)),
% 5.14/4.00 inference(unit_resolution,[status(thm)],[15156, 550, 15153])).
% 5.14/4.00 tff(15158,plain,
% 5.14/4.00 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s186, c_n2) | (~node4(s186)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s186, c_n2) | (~node4(s186)))),
% 5.14/4.00 inference(rewrite,[status(thm)],[])).
% 5.14/4.00 tff(15159,plain,
% 5.14/4.00 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s186, c_n2) | (~node4(s186)))),
% 5.14/4.00 inference(quant_inst,[status(thm)],[])).
% 5.14/4.00 tff(15160,plain,
% 5.14/4.00 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s186, c_n2) | (~node4(s186))),
% 5.14/4.00 inference(modus_ponens,[status(thm)],[15159, 15158])).
% 5.14/4.00 tff(15161,plain,
% 5.14/4.00 (~node4(s186)),
% 5.14/4.00 inference(unit_resolution,[status(thm)],[15160, 388, 15052])).
% 5.14/4.00 tff(15162,plain,
% 5.14/4.00 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s186, c_c2) | (~node3(s186)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s186, c_c2) | (~node3(s186)))),
% 5.14/4.00 inference(rewrite,[status(thm)],[])).
% 5.14/4.00 tff(15163,plain,
% 5.14/4.00 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s186, c_c2) | (~node3(s186)))),
% 5.14/4.00 inference(quant_inst,[status(thm)],[])).
% 5.14/4.00 tff(15164,plain,
% 5.14/4.00 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s186, c_c2) | (~node3(s186))),
% 5.14/4.00 inference(modus_ponens,[status(thm)],[15163, 15162])).
% 5.14/4.00 tff(15165,plain,
% 5.14/4.00 (~node3(s186)),
% 5.14/4.00 inference(unit_resolution,[status(thm)],[15164, 399, 15068])).
% 5.14/4.00 tff(15166,plain,
% 5.14/4.00 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s186, c_n2) | (~node2(s186)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s186, c_n2) | (~node2(s186)))),
% 5.14/4.00 inference(rewrite,[status(thm)],[])).
% 5.14/4.00 tff(15167,plain,
% 5.14/4.00 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s186, c_n2) | (~node2(s186)))),
% 5.14/4.00 inference(quant_inst,[status(thm)],[])).
% 5.14/4.00 tff(15168,plain,
% 5.14/4.00 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s186, c_n2) | (~node2(s186))),
% 5.14/4.00 inference(modus_ponens,[status(thm)],[15167, 15166])).
% 5.14/4.00 tff(15169,plain,
% 5.14/4.00 (~node2(s186)),
% 5.14/4.00 inference(unit_resolution,[status(thm)],[15168, 410, 15052])).
% 5.14/4.00 tff(15170,plain,
% 5.14/4.00 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s186, c_n1) | (~node1(s186)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s186, c_n1) | (~node1(s186)))),
% 5.14/4.00 inference(rewrite,[status(thm)],[])).
% 5.14/4.00 tff(15171,plain,
% 5.14/4.00 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s186, c_n1) | (~node1(s186)))),
% 5.14/4.00 inference(quant_inst,[status(thm)],[])).
% 5.14/4.00 tff(15172,plain,
% 5.14/4.00 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s186, c_n1) | (~node1(s186))),
% 5.14/4.00 inference(modus_ponens,[status(thm)],[15171, 15170])).
% 5.14/4.00 tff(15173,plain,
% 5.14/4.00 (~node1(s186)),
% 5.14/4.00 inference(unit_resolution,[status(thm)],[15172, 421, 15107])).
% 5.14/4.00 tff(15174,plain,
% 5.14/4.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s186, s187)) | node7(s186, s187))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s186, s187)) | node7(s186, s187))),
% 5.14/4.00 inference(rewrite,[status(thm)],[])).
% 5.14/4.00 tff(15175,plain,
% 5.14/4.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s186, s187)) | node7(s186, s187))),
% 5.14/4.00 inference(quant_inst,[status(thm)],[])).
% 5.14/4.00 tff(15176,plain,
% 5.14/4.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s186, s187)) | node7(s186, s187)),
% 5.14/4.00 inference(modus_ponens,[status(thm)],[15175, 15174])).
% 5.14/4.00 tff(15177,plain,
% 5.14/4.00 (node7(s186, s187)),
% 5.14/4.00 inference(unit_resolution,[status(thm)],[15176, 206, 15118])).
% 5.14/4.00 tff(15178,plain,
% 5.14/4.00 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s187, c_n1) | (~m_main_v_state1(s186, c_c1)) | node1(s186) | node2(s186) | node3(s186) | node4(s186) | node5(s186) | (~node7(s186, s187)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s187, c_n1) | (~m_main_v_state1(s186, c_c1)) | node1(s186) | node2(s186) | node3(s186) | node4(s186) | node5(s186) | (~node7(s186, s187)))),
% 5.14/4.00 inference(rewrite,[status(thm)],[])).
% 5.14/4.00 tff(15179,plain,
% 5.14/4.00 (((~m_main_v_state1(s186, c_c1)) | node1(s186) | node2(s186) | node3(s186) | node4(s186) | node5(s186) | (~node7(s186, s187)) | m_main_v_state1(s187, c_n1)) <=> (m_main_v_state1(s187, c_n1) | (~m_main_v_state1(s186, c_c1)) | node1(s186) | node2(s186) | node3(s186) | node4(s186) | node5(s186) | (~node7(s186, s187)))),
% 5.14/4.00 inference(rewrite,[status(thm)],[])).
% 5.14/4.00 tff(15180,plain,
% 5.14/4.00 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s186, c_c1)) | node1(s186) | node2(s186) | node3(s186) | node4(s186) | node5(s186) | (~node7(s186, s187)) | m_main_v_state1(s187, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s187, c_n1) | (~m_main_v_state1(s186, c_c1)) | node1(s186) | node2(s186) | node3(s186) | node4(s186) | node5(s186) | (~node7(s186, s187))))),
% 5.14/4.00 inference(monotonicity,[status(thm)],[15179])).
% 5.14/4.00 tff(15181,plain,
% 5.14/4.00 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s186, c_c1)) | node1(s186) | node2(s186) | node3(s186) | node4(s186) | node5(s186) | (~node7(s186, s187)) | m_main_v_state1(s187, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s187, c_n1) | (~m_main_v_state1(s186, c_c1)) | node1(s186) | node2(s186) | node3(s186) | node4(s186) | node5(s186) | (~node7(s186, s187)))),
% 5.14/4.00 inference(transitivity,[status(thm)],[15180, 15178])).
% 5.14/4.00 tff(15182,plain,
% 5.14/4.00 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s186, c_c1)) | node1(s186) | node2(s186) | node3(s186) | node4(s186) | node5(s186) | (~node7(s186, s187)) | m_main_v_state1(s187, c_n1))),
% 5.14/4.00 inference(quant_inst,[status(thm)],[])).
% 5.14/4.00 tff(15183,plain,
% 5.14/4.00 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s187, c_n1) | (~m_main_v_state1(s186, c_c1)) | node1(s186) | node2(s186) | node3(s186) | node4(s186) | node5(s186) | (~node7(s186, s187))),
% 5.14/4.00 inference(modus_ponens,[status(thm)],[15182, 15181])).
% 5.14/4.00 tff(15184,plain,
% 5.14/4.00 (m_main_v_state1(s187, c_n1) | (~m_main_v_state1(s186, c_c1)) | node1(s186) | node2(s186) | node3(s186) | node4(s186) | node5(s186)),
% 5.14/4.00 inference(unit_resolution,[status(thm)],[15183, 584, 15177])).
% 5.14/4.00 tff(15185,plain,
% 5.14/4.00 (m_main_v_state1(s187, c_n1)),
% 5.14/4.00 inference(unit_resolution,[status(thm)],[15184, 15173, 15103, 15169, 15165, 15161, 15157])).
% 5.14/4.00 tff(15186,plain,
% 5.14/4.00 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s187, c_n2) | (~node8(s187)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s187, c_n2) | (~node8(s187)))),
% 5.14/4.00 inference(rewrite,[status(thm)],[])).
% 5.14/4.00 tff(15187,plain,
% 5.14/4.00 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s187, c_n2) | (~node8(s187)))),
% 5.14/4.00 inference(quant_inst,[status(thm)],[])).
% 5.14/4.00 tff(15188,plain,
% 5.14/4.00 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s187, c_n2) | (~node8(s187))),
% 5.14/4.00 inference(modus_ponens,[status(thm)],[15187, 15186])).
% 5.14/4.00 tff(15189,plain,
% 5.14/4.00 (~node8(s187)),
% 5.14/4.00 inference(unit_resolution,[status(thm)],[15188, 271, 15134])).
% 5.14/4.00 tff(15190,plain,
% 5.14/4.00 (succ(s187, s188) <=> succ(s187, s188)),
% 5.14/4.00 inference(rewrite,[status(thm)],[])).
% 5.14/4.00 tff(15191,axiom,(succ(s187, s188)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound188')).
% 5.14/4.00 tff(15192,plain,
% 5.14/4.00 (succ(s187, s188)),
% 5.14/4.00 inference(modus_ponens,[status(thm)],[15191, 15190])).
% 5.14/4.00 tff(15193,plain,
% 5.14/4.00 (((~![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))),
% 5.14/4.00 inference(rewrite,[status(thm)],[])).
% 5.14/4.00 tff(15194,plain,
% 5.14/4.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s187, s188)) | trans(s187, s188))),
% 5.14/4.00 inference(quant_inst,[status(thm)],[])).
% 5.14/4.00 tff(15195,plain,
% 5.14/4.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s187, s188)) | trans(s187, s188)),
% 5.14/4.00 inference(modus_ponens,[status(thm)],[15194, 15193])).
% 5.14/4.00 tff(15196,plain,
% 5.14/4.00 (trans(s187, s188)),
% 5.14/4.00 inference(unit_resolution,[status(thm)],[15195, 15192, 32])).
% 5.14/4.00 tff(15197,plain,
% 5.14/4.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s187, s188)) | node14(s187, s188))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s187, s188)) | node14(s187, s188))),
% 5.14/4.00 inference(rewrite,[status(thm)],[])).
% 5.14/4.00 tff(15198,plain,
% 5.14/4.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s187, s188)) | node14(s187, s188))),
% 5.14/4.00 inference(quant_inst,[status(thm)],[])).
% 5.14/4.00 tff(15199,plain,
% 5.14/4.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s187, s188)) | node14(s187, s188)),
% 5.14/4.00 inference(modus_ponens,[status(thm)],[15198, 15197])).
% 5.14/4.00 tff(15200,plain,
% 5.14/4.00 (node14(s187, s188)),
% 5.14/4.00 inference(unit_resolution,[status(thm)],[15199, 46, 15196])).
% 5.14/4.00 tff(15201,plain,
% 5.14/4.00 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s187, c_n1)) | (~m_main_v_state2(s187, c_t2)) | node9(s187) | node8(s187) | node10(s187) | (~node14(s187, s188)) | m_main_v_state2(s188, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s187, c_n1)) | (~m_main_v_state2(s187, c_t2)) | node9(s187) | node8(s187) | node10(s187) | (~node14(s187, s188)) | m_main_v_state2(s188, c_c2))),
% 5.14/4.00 inference(rewrite,[status(thm)],[])).
% 5.14/4.00 tff(15202,plain,
% 5.14/4.00 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s187, c_n1)) | (~m_main_v_state2(s187, c_t2)) | node9(s187) | node8(s187) | node10(s187) | (~node14(s187, s188)) | m_main_v_state2(s188, c_c2))),
% 5.14/4.00 inference(quant_inst,[status(thm)],[])).
% 5.14/4.00 tff(15203,plain,
% 5.14/4.00 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s187, c_n1)) | (~m_main_v_state2(s187, c_t2)) | node9(s187) | node8(s187) | node10(s187) | (~node14(s187, s188)) | m_main_v_state2(s188, c_c2)),
% 5.14/4.00 inference(modus_ponens,[status(thm)],[15202, 15201])).
% 5.14/4.00 tff(15204,plain,
% 5.14/4.00 ((~m_main_v_state1(s187, c_n1)) | (~m_main_v_state2(s187, c_t2)) | node9(s187) | node8(s187) | node10(s187) | m_main_v_state2(s188, c_c2)),
% 5.14/4.00 inference(unit_resolution,[status(thm)],[15203, 617, 15200])).
% 5.14/4.00 tff(15205,plain,
% 5.14/4.00 (m_main_v_state2(s188, c_c2)),
% 5.14/4.00 inference(unit_resolution,[status(thm)],[15204, 15189, 15185, 15149, 15142, 15138])).
% 5.14/4.00 tff(15206,plain,
% 5.14/4.00 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s188, c_t2)) | (~m_main_v_state2(s188, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s188, c_t2)) | (~m_main_v_state2(s188, c_c2)))),
% 5.14/4.00 inference(rewrite,[status(thm)],[])).
% 5.14/4.00 tff(15207,plain,
% 5.14/4.00 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s188, c_t2)) | (~m_main_v_state2(s188, c_c2)))),
% 5.14/4.00 inference(quant_inst,[status(thm)],[])).
% 5.14/4.00 tff(15208,plain,
% 5.14/4.00 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s188, c_t2)) | (~m_main_v_state2(s188, c_c2))),
% 5.14/4.00 inference(modus_ponens,[status(thm)],[15207, 15206])).
% 5.14/4.00 tff(15209,plain,
% 5.14/4.00 (~m_main_v_state2(s188, c_t2)),
% 5.14/4.00 inference(unit_resolution,[status(thm)],[15208, 260, 15205])).
% 5.14/4.00 tff(15210,plain,
% 5.14/4.00 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s188, c_t2) | (~node12(s188)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s188, c_t2) | (~node12(s188)))),
% 5.14/4.00 inference(rewrite,[status(thm)],[])).
% 5.14/4.00 tff(15211,plain,
% 5.14/4.00 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s188, c_t2) | (~node12(s188)))),
% 5.14/4.00 inference(quant_inst,[status(thm)],[])).
% 5.14/4.00 tff(15212,plain,
% 5.14/4.00 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s188, c_t2) | (~node12(s188))),
% 5.14/4.00 inference(modus_ponens,[status(thm)],[15211, 15210])).
% 5.14/4.00 tff(15213,plain,
% 5.14/4.00 (~node12(s188)),
% 5.14/4.00 inference(unit_resolution,[status(thm)],[15212, 633, 15209])).
% 5.14/4.00 tff(15214,plain,
% 5.14/4.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s187, s188)) | node7(s187, s188))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s187, s188)) | node7(s187, s188))),
% 5.14/4.00 inference(rewrite,[status(thm)],[])).
% 5.14/4.00 tff(15215,plain,
% 5.14/4.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s187, s188)) | node7(s187, s188))),
% 5.14/4.00 inference(quant_inst,[status(thm)],[])).
% 5.14/4.00 tff(15216,plain,
% 5.14/4.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s187, s188)) | node7(s187, s188)),
% 5.14/4.00 inference(modus_ponens,[status(thm)],[15215, 15214])).
% 5.14/4.00 tff(15217,plain,
% 5.14/4.00 (node7(s187, s188)),
% 5.14/4.00 inference(unit_resolution,[status(thm)],[15216, 206, 15196])).
% 5.14/4.00 tff(15218,plain,
% 5.14/4.00 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s187, c_n1)) | (~m_main_v_state2(s187, c_t2)) | (~node7(s187, s188)) | m_main_v_state1(s188, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s187, c_n1)) | (~m_main_v_state2(s187, c_t2)) | (~node7(s187, s188)) | m_main_v_state1(s188, c_t1))),
% 5.14/4.00 inference(rewrite,[status(thm)],[])).
% 5.14/4.00 tff(15219,plain,
% 5.14/4.00 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s187, c_n1)) | (~m_main_v_state2(s187, c_t2)) | (~node7(s187, s188)) | m_main_v_state1(s188, c_t1))),
% 5.14/4.00 inference(quant_inst,[status(thm)],[])).
% 5.14/4.00 tff(15220,plain,
% 5.14/4.00 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s187, c_n1)) | (~m_main_v_state2(s187, c_t2)) | (~node7(s187, s188)) | m_main_v_state1(s188, c_t1)),
% 5.14/4.01 inference(modus_ponens,[status(thm)],[15219, 15218])).
% 5.14/4.01 tff(15221,plain,
% 5.14/4.01 ((~m_main_v_state1(s187, c_n1)) | (~m_main_v_state2(s187, c_t2)) | m_main_v_state1(s188, c_t1)),
% 5.14/4.01 inference(unit_resolution,[status(thm)],[15220, 651, 15217])).
% 5.14/4.01 tff(15222,plain,
% 5.14/4.01 (m_main_v_state1(s188, c_t1)),
% 5.14/4.01 inference(unit_resolution,[status(thm)],[15221, 15149, 15185])).
% 5.14/4.01 tff(15223,plain,
% 5.14/4.01 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s188, c_n1)) | (~m_main_v_state1(s188, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s188, c_n1)) | (~m_main_v_state1(s188, c_t1)))),
% 5.14/4.01 inference(rewrite,[status(thm)],[])).
% 5.14/4.01 tff(15224,plain,
% 5.14/4.01 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s188, c_n1)) | (~m_main_v_state1(s188, c_t1)))),
% 5.14/4.01 inference(quant_inst,[status(thm)],[])).
% 5.14/4.01 tff(15225,plain,
% 5.14/4.01 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s188, c_n1)) | (~m_main_v_state1(s188, c_t1))),
% 5.14/4.01 inference(modus_ponens,[status(thm)],[15224, 15223])).
% 5.14/4.01 tff(15226,plain,
% 5.14/4.01 (~m_main_v_state1(s188, c_n1)),
% 5.14/4.01 inference(unit_resolution,[status(thm)],[15225, 10, 15222])).
% 5.14/4.01 tff(15227,plain,
% 5.14/4.01 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s188, c_n1) | (~node11(s188)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s188, c_n1) | (~node11(s188)))),
% 5.14/4.01 inference(rewrite,[status(thm)],[])).
% 5.14/4.01 tff(15228,plain,
% 5.14/4.01 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s188, c_n1) | (~node11(s188)))),
% 5.14/4.01 inference(quant_inst,[status(thm)],[])).
% 5.14/4.01 tff(15229,plain,
% 5.14/4.01 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s188, c_n1) | (~node11(s188))),
% 5.14/4.01 inference(modus_ponens,[status(thm)],[15228, 15227])).
% 5.14/4.01 tff(15230,plain,
% 5.14/4.01 (~node11(s188)),
% 5.14/4.01 inference(unit_resolution,[status(thm)],[15229, 238, 15226])).
% 5.14/4.01 tff(15231,plain,
% 5.14/4.01 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s188, c_t1)) | (~m_main_v_state1(s188, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s188, c_t1)) | (~m_main_v_state1(s188, c_c1)))),
% 5.14/4.01 inference(rewrite,[status(thm)],[])).
% 5.14/4.01 tff(15232,plain,
% 5.14/4.01 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s188, c_t1)) | (~m_main_v_state1(s188, c_c1)))),
% 5.14/4.01 inference(quant_inst,[status(thm)],[])).
% 5.14/4.01 tff(15233,plain,
% 5.14/4.01 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s188, c_t1)) | (~m_main_v_state1(s188, c_c1))),
% 5.14/4.01 inference(modus_ponens,[status(thm)],[15232, 15231])).
% 5.14/4.01 tff(15234,plain,
% 5.14/4.01 (~m_main_v_state1(s188, c_c1)),
% 5.14/4.01 inference(unit_resolution,[status(thm)],[15233, 539, 15222])).
% 5.14/4.01 tff(15235,plain,
% 5.14/4.01 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s188, c_c1) | (~node10(s188)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s188, c_c1) | (~node10(s188)))),
% 5.14/4.01 inference(rewrite,[status(thm)],[])).
% 5.14/4.01 tff(15236,plain,
% 5.14/4.01 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s188, c_c1) | (~node10(s188)))),
% 5.14/4.01 inference(quant_inst,[status(thm)],[])).
% 5.14/4.01 tff(15237,plain,
% 5.14/4.01 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s188, c_c1) | (~node10(s188))),
% 5.14/4.01 inference(modus_ponens,[status(thm)],[15236, 15235])).
% 5.14/4.01 tff(15238,plain,
% 5.14/4.01 (~node10(s188)),
% 5.14/4.01 inference(unit_resolution,[status(thm)],[15237, 675, 15234])).
% 5.14/4.01 tff(15239,plain,
% 5.14/4.01 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s188, c_n1) | (~node9(s188)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s188, c_n1) | (~node9(s188)))),
% 5.14/4.01 inference(rewrite,[status(thm)],[])).
% 5.14/4.01 tff(15240,plain,
% 5.14/4.01 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s188, c_n1) | (~node9(s188)))),
% 5.14/4.01 inference(quant_inst,[status(thm)],[])).
% 5.14/4.01 tff(15241,plain,
% 5.14/4.01 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s188, c_n1) | (~node9(s188))),
% 5.14/4.01 inference(modus_ponens,[status(thm)],[15240, 15239])).
% 5.14/4.01 tff(15242,plain,
% 5.14/4.01 (~node9(s188)),
% 5.14/4.01 inference(unit_resolution,[status(thm)],[15241, 686, 15226])).
% 5.14/4.01 tff(15243,plain,
% 5.14/4.01 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s188, c_n2)) | (~m_main_v_state2(s188, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s188, c_n2)) | (~m_main_v_state2(s188, c_c2)))),
% 5.14/4.01 inference(rewrite,[status(thm)],[])).
% 5.14/4.01 tff(15244,plain,
% 5.14/4.01 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s188, c_n2)) | (~m_main_v_state2(s188, c_c2)))),
% 5.14/4.01 inference(quant_inst,[status(thm)],[])).
% 5.14/4.01 tff(15245,plain,
% 5.14/4.01 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s188, c_n2)) | (~m_main_v_state2(s188, c_c2))),
% 5.14/4.01 inference(modus_ponens,[status(thm)],[15244, 15243])).
% 5.14/4.01 tff(15246,plain,
% 5.14/4.01 (~m_main_v_state2(s188, c_n2)),
% 5.14/4.01 inference(unit_resolution,[status(thm)],[15245, 697, 15205])).
% 5.14/4.01 tff(15247,plain,
% 5.14/4.01 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s188, c_n2) | (~node8(s188)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s188, c_n2) | (~node8(s188)))),
% 5.14/4.01 inference(rewrite,[status(thm)],[])).
% 5.14/4.01 tff(15248,plain,
% 5.14/4.01 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s188, c_n2) | (~node8(s188)))),
% 5.14/4.01 inference(quant_inst,[status(thm)],[])).
% 5.14/4.01 tff(15249,plain,
% 5.14/4.01 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s188, c_n2) | (~node8(s188))),
% 5.14/4.01 inference(modus_ponens,[status(thm)],[15248, 15247])).
% 5.14/4.01 tff(15250,plain,
% 5.14/4.01 (~node8(s188)),
% 5.14/4.01 inference(unit_resolution,[status(thm)],[15249, 271, 15246])).
% 5.14/4.01 tff(15251,plain,
% 5.14/4.01 (succ(s188, s189) <=> succ(s188, s189)),
% 5.14/4.01 inference(rewrite,[status(thm)],[])).
% 5.14/4.01 tff(15252,axiom,(succ(s188, s189)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound189')).
% 5.14/4.01 tff(15253,plain,
% 5.14/4.01 (succ(s188, s189)),
% 5.14/4.01 inference(modus_ponens,[status(thm)],[15252, 15251])).
% 5.14/4.01 tff(15254,plain,
% 5.14/4.01 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s188, s189)) | trans(s188, s189))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s188, s189)) | trans(s188, s189))),
% 5.14/4.01 inference(rewrite,[status(thm)],[])).
% 5.14/4.01 tff(15255,plain,
% 5.14/4.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s188, s189)) | trans(s188, s189))),
% 5.14/4.01 inference(quant_inst,[status(thm)],[])).
% 5.14/4.01 tff(15256,plain,
% 5.14/4.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s188, s189)) | trans(s188, s189)),
% 5.14/4.01 inference(modus_ponens,[status(thm)],[15255, 15254])).
% 5.14/4.01 tff(15257,plain,
% 5.14/4.01 (trans(s188, s189)),
% 5.14/4.01 inference(unit_resolution,[status(thm)],[15256, 15253, 32])).
% 5.14/4.01 tff(15258,plain,
% 5.14/4.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s188, s189)) | node14(s188, s189))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s188, s189)) | node14(s188, s189))),
% 5.14/4.01 inference(rewrite,[status(thm)],[])).
% 5.14/4.01 tff(15259,plain,
% 5.14/4.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s188, s189)) | node14(s188, s189))),
% 5.14/4.01 inference(quant_inst,[status(thm)],[])).
% 5.14/4.01 tff(15260,plain,
% 5.14/4.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s188, s189)) | node14(s188, s189)),
% 5.14/4.01 inference(modus_ponens,[status(thm)],[15259, 15258])).
% 5.14/4.01 tff(15261,plain,
% 5.14/4.01 (node14(s188, s189)),
% 5.14/4.01 inference(unit_resolution,[status(thm)],[15260, 46, 15257])).
% 5.14/4.01 tff(15262,plain,
% 5.14/4.01 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s189, c_n2) | node9(s188) | node8(s188) | node10(s188) | node11(s188) | node12(s188) | (~node14(s188, s189)) | (~m_main_v_state2(s188, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s189, c_n2) | node9(s188) | node8(s188) | node10(s188) | node11(s188) | node12(s188) | (~node14(s188, s189)) | (~m_main_v_state2(s188, c_c2)))),
% 5.14/4.01 inference(rewrite,[status(thm)],[])).
% 5.14/4.01 tff(15263,plain,
% 5.14/4.01 (((~m_main_v_state2(s188, c_c2)) | node9(s188) | node8(s188) | node10(s188) | node11(s188) | node12(s188) | (~node14(s188, s189)) | m_main_v_state2(s189, c_n2)) <=> (m_main_v_state2(s189, c_n2) | node9(s188) | node8(s188) | node10(s188) | node11(s188) | node12(s188) | (~node14(s188, s189)) | (~m_main_v_state2(s188, c_c2)))),
% 5.14/4.01 inference(rewrite,[status(thm)],[])).
% 5.14/4.01 tff(15264,plain,
% 5.14/4.01 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s188, c_c2)) | node9(s188) | node8(s188) | node10(s188) | node11(s188) | node12(s188) | (~node14(s188, s189)) | m_main_v_state2(s189, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s189, c_n2) | node9(s188) | node8(s188) | node10(s188) | node11(s188) | node12(s188) | (~node14(s188, s189)) | (~m_main_v_state2(s188, c_c2))))),
% 5.14/4.01 inference(monotonicity,[status(thm)],[15263])).
% 5.14/4.01 tff(15265,plain,
% 5.14/4.01 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s188, c_c2)) | node9(s188) | node8(s188) | node10(s188) | node11(s188) | node12(s188) | (~node14(s188, s189)) | m_main_v_state2(s189, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s189, c_n2) | node9(s188) | node8(s188) | node10(s188) | node11(s188) | node12(s188) | (~node14(s188, s189)) | (~m_main_v_state2(s188, c_c2)))),
% 5.14/4.01 inference(transitivity,[status(thm)],[15264, 15262])).
% 5.14/4.01 tff(15266,plain,
% 5.14/4.01 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s188, c_c2)) | node9(s188) | node8(s188) | node10(s188) | node11(s188) | node12(s188) | (~node14(s188, s189)) | m_main_v_state2(s189, c_n2))),
% 5.14/4.01 inference(quant_inst,[status(thm)],[])).
% 5.14/4.01 tff(15267,plain,
% 5.14/4.01 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s189, c_n2) | node9(s188) | node8(s188) | node10(s188) | node11(s188) | node12(s188) | (~node14(s188, s189)) | (~m_main_v_state2(s188, c_c2))),
% 5.14/4.01 inference(modus_ponens,[status(thm)],[15266, 15265])).
% 5.14/4.01 tff(15268,plain,
% 5.14/4.01 (m_main_v_state2(s189, c_n2) | node9(s188) | node8(s188) | node10(s188) | node11(s188) | node12(s188) | (~m_main_v_state2(s188, c_c2))),
% 5.14/4.01 inference(unit_resolution,[status(thm)],[15267, 726, 15261])).
% 5.14/4.01 tff(15269,plain,
% 5.14/4.01 (m_main_v_state2(s189, c_n2)),
% 5.14/4.01 inference(unit_resolution,[status(thm)],[15268, 15250, 15205, 15242, 15238, 15230, 15213])).
% 5.14/4.01 tff(15270,plain,
% 5.14/4.01 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s189, c_n2)) | (~m_main_v_state2(s189, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s189, c_n2)) | (~m_main_v_state2(s189, c_c2)))),
% 5.14/4.01 inference(rewrite,[status(thm)],[])).
% 5.14/4.01 tff(15271,plain,
% 5.14/4.01 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s189, c_n2)) | (~m_main_v_state2(s189, c_c2)))),
% 5.14/4.01 inference(quant_inst,[status(thm)],[])).
% 5.14/4.01 tff(15272,plain,
% 5.14/4.01 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s189, c_n2)) | (~m_main_v_state2(s189, c_c2))),
% 5.14/4.01 inference(modus_ponens,[status(thm)],[15271, 15270])).
% 5.14/4.01 tff(15273,plain,
% 5.14/4.01 (~m_main_v_state2(s189, c_c2)),
% 5.14/4.01 inference(unit_resolution,[status(thm)],[15272, 697, 15269])).
% 5.14/4.01 tff(15274,plain,
% 5.14/4.01 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s189, c_c2) | (~node3(s189)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s189, c_c2) | (~node3(s189)))),
% 5.14/4.01 inference(rewrite,[status(thm)],[])).
% 5.14/4.01 tff(15275,plain,
% 5.14/4.01 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s189, c_c2) | (~node3(s189)))),
% 5.14/4.01 inference(quant_inst,[status(thm)],[])).
% 5.14/4.01 tff(15276,plain,
% 5.14/4.01 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s189, c_c2) | (~node3(s189))),
% 5.14/4.01 inference(modus_ponens,[status(thm)],[15275, 15274])).
% 5.14/4.01 tff(15277,plain,
% 5.14/4.01 (~node3(s189)),
% 5.14/4.01 inference(unit_resolution,[status(thm)],[15276, 399, 15273])).
% 5.14/4.01 tff(15278,plain,
% 5.14/4.01 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s188, c_n1) | (~node1(s188)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s188, c_n1) | (~node1(s188)))),
% 5.14/4.01 inference(rewrite,[status(thm)],[])).
% 5.14/4.01 tff(15279,plain,
% 5.14/4.01 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s188, c_n1) | (~node1(s188)))),
% 5.14/4.01 inference(quant_inst,[status(thm)],[])).
% 5.14/4.01 tff(15280,plain,
% 5.14/4.01 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s188, c_n1) | (~node1(s188))),
% 5.14/4.01 inference(modus_ponens,[status(thm)],[15279, 15278])).
% 5.14/4.01 tff(15281,plain,
% 5.14/4.01 (~node1(s188)),
% 5.14/4.01 inference(unit_resolution,[status(thm)],[15280, 421, 15226])).
% 5.14/4.01 tff(15282,plain,
% 5.14/4.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s187, s188)) | node18(s187, s188))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s187, s188)) | node18(s187, s188))),
% 5.14/4.01 inference(rewrite,[status(thm)],[])).
% 5.14/4.01 tff(15283,plain,
% 5.14/4.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s187, s188)) | node18(s187, s188))),
% 5.14/4.01 inference(quant_inst,[status(thm)],[])).
% 5.14/4.01 tff(15284,plain,
% 5.14/4.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s187, s188)) | node18(s187, s188)),
% 5.14/4.01 inference(modus_ponens,[status(thm)],[15283, 15282])).
% 5.14/4.01 tff(15285,plain,
% 5.14/4.01 (node18(s187, s188)),
% 5.14/4.01 inference(unit_resolution,[status(thm)],[15284, 125, 15196])).
% 5.14/4.01 tff(15286,plain,
% 5.14/4.01 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s187, c_n1)) | (~m_main_v_state2(s187, c_t2)) | (~node18(s187, s188)) | m_main_v_turn(s188, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s187, c_n1)) | (~m_main_v_state2(s187, c_t2)) | (~node18(s187, s188)) | m_main_v_turn(s188, c_2))),
% 5.14/4.01 inference(rewrite,[status(thm)],[])).
% 5.14/4.01 tff(15287,plain,
% 5.14/4.01 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s187, c_n1)) | (~m_main_v_state2(s187, c_t2)) | (~node18(s187, s188)) | m_main_v_turn(s188, c_2))),
% 5.14/4.01 inference(quant_inst,[status(thm)],[])).
% 5.14/4.01 tff(15288,plain,
% 5.14/4.01 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s187, c_n1)) | (~m_main_v_state2(s187, c_t2)) | (~node18(s187, s188)) | m_main_v_turn(s188, c_2)),
% 5.14/4.01 inference(modus_ponens,[status(thm)],[15287, 15286])).
% 5.14/4.01 tff(15289,plain,
% 5.14/4.01 ((~m_main_v_state1(s187, c_n1)) | (~m_main_v_state2(s187, c_t2)) | m_main_v_turn(s188, c_2)),
% 5.14/4.01 inference(unit_resolution,[status(thm)],[15288, 760, 15285])).
% 5.14/4.01 tff(15290,plain,
% 5.14/4.01 (m_main_v_turn(s188, c_2)),
% 5.14/4.01 inference(unit_resolution,[status(thm)],[15289, 15149, 15185])).
% 5.14/4.01 tff(15291,plain,
% 5.14/4.01 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s188, c_1)) | (~m_main_v_turn(s188, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s188, c_1)) | (~m_main_v_turn(s188, c_2)))),
% 5.14/4.01 inference(rewrite,[status(thm)],[])).
% 5.14/4.01 tff(15292,plain,
% 5.14/4.01 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s188, c_1)) | (~m_main_v_turn(s188, c_2)))),
% 5.14/4.01 inference(quant_inst,[status(thm)],[])).
% 5.14/4.01 tff(15293,plain,
% 5.14/4.01 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s188, c_1)) | (~m_main_v_turn(s188, c_2))),
% 5.14/4.01 inference(modus_ponens,[status(thm)],[15292, 15291])).
% 5.14/4.01 tff(15294,plain,
% 5.14/4.01 (~m_main_v_turn(s188, c_1)),
% 5.14/4.01 inference(unit_resolution,[status(thm)],[15293, 156, 15290])).
% 5.14/4.01 tff(15295,plain,
% 5.14/4.01 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s188, c_1) | (~node5(s188)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s188, c_1) | (~node5(s188)))),
% 5.14/4.01 inference(rewrite,[status(thm)],[])).
% 5.14/4.01 tff(15296,plain,
% 5.14/4.01 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s188, c_1) | (~node5(s188)))),
% 5.14/4.01 inference(quant_inst,[status(thm)],[])).
% 5.14/4.01 tff(15297,plain,
% 5.14/4.01 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s188, c_1) | (~node5(s188))),
% 5.14/4.01 inference(modus_ponens,[status(thm)],[15296, 15295])).
% 5.14/4.01 tff(15298,plain,
% 5.14/4.01 (~node5(s188)),
% 5.14/4.01 inference(unit_resolution,[status(thm)],[15297, 776, 15294])).
% 5.14/4.01 tff(15299,plain,
% 5.14/4.01 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s188, c_n1) | (~node2(s188)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s188, c_n1) | (~node2(s188)))),
% 5.14/4.01 inference(rewrite,[status(thm)],[])).
% 5.14/4.01 tff(15300,plain,
% 5.14/4.01 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s188, c_n1) | (~node2(s188)))),
% 5.14/4.01 inference(quant_inst,[status(thm)],[])).
% 5.14/4.01 tff(15301,plain,
% 5.14/4.01 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s188, c_n1) | (~node2(s188))),
% 5.14/4.01 inference(modus_ponens,[status(thm)],[15300, 15299])).
% 5.14/4.01 tff(15302,plain,
% 5.14/4.01 (~node2(s188)),
% 5.14/4.01 inference(unit_resolution,[status(thm)],[15301, 787, 15226])).
% 5.14/4.01 tff(15303,plain,
% 5.14/4.01 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s188, c_n1) | (~node3(s188)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s188, c_n1) | (~node3(s188)))),
% 5.14/4.01 inference(rewrite,[status(thm)],[])).
% 5.14/4.01 tff(15304,plain,
% 5.14/4.01 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s188, c_n1) | (~node3(s188)))),
% 5.14/4.01 inference(quant_inst,[status(thm)],[])).
% 5.14/4.01 tff(15305,plain,
% 5.14/4.01 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s188, c_n1) | (~node3(s188))),
% 5.14/4.01 inference(modus_ponens,[status(thm)],[15304, 15303])).
% 5.14/4.01 tff(15306,plain,
% 5.14/4.01 (~node3(s188)),
% 5.14/4.01 inference(unit_resolution,[status(thm)],[15305, 798, 15226])).
% 5.14/4.01 tff(15307,plain,
% 5.14/4.01 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s188, c_n2) | (~node4(s188)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s188, c_n2) | (~node4(s188)))),
% 5.14/4.01 inference(rewrite,[status(thm)],[])).
% 5.14/4.01 tff(15308,plain,
% 5.14/4.01 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s188, c_n2) | (~node4(s188)))),
% 5.14/4.01 inference(quant_inst,[status(thm)],[])).
% 5.14/4.01 tff(15309,plain,
% 5.14/4.01 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s188, c_n2) | (~node4(s188))),
% 5.14/4.01 inference(modus_ponens,[status(thm)],[15308, 15307])).
% 5.14/4.01 tff(15310,plain,
% 5.14/4.01 (~node4(s188)),
% 5.14/4.01 inference(unit_resolution,[status(thm)],[15309, 388, 15246])).
% 5.14/4.01 tff(15311,plain,
% 5.14/4.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s188, s189)) | node7(s188, s189))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s188, s189)) | node7(s188, s189))),
% 5.14/4.01 inference(rewrite,[status(thm)],[])).
% 5.14/4.01 tff(15312,plain,
% 5.14/4.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s188, s189)) | node7(s188, s189))),
% 5.14/4.01 inference(quant_inst,[status(thm)],[])).
% 5.14/4.01 tff(15313,plain,
% 5.14/4.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s188, s189)) | node7(s188, s189)),
% 5.14/4.01 inference(modus_ponens,[status(thm)],[15312, 15311])).
% 5.14/4.01 tff(15314,plain,
% 5.14/4.01 (node7(s188, s189)),
% 5.14/4.01 inference(unit_resolution,[status(thm)],[15313, 206, 15257])).
% 5.14/4.01 tff(15315,plain,
% 5.14/4.01 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s188, c_c1) | node1(s188) | node2(s188) | node3(s188) | node4(s188) | node5(s188) | node6(s188, s189) | (~node7(s188, s189)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s188, c_c1) | node1(s188) | node2(s188) | node3(s188) | node4(s188) | node5(s188) | node6(s188, s189) | (~node7(s188, s189)))),
% 5.14/4.01 inference(rewrite,[status(thm)],[])).
% 5.14/4.01 tff(15316,plain,
% 5.14/4.01 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s188, c_c1) | node1(s188) | node2(s188) | node3(s188) | node4(s188) | node5(s188) | node6(s188, s189) | (~node7(s188, s189)))),
% 5.14/4.01 inference(quant_inst,[status(thm)],[])).
% 5.14/4.01 tff(15317,plain,
% 5.14/4.01 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s188, c_c1) | node1(s188) | node2(s188) | node3(s188) | node4(s188) | node5(s188) | node6(s188, s189) | (~node7(s188, s189))),
% 5.14/4.01 inference(modus_ponens,[status(thm)],[15316, 15315])).
% 5.14/4.01 tff(15318,plain,
% 5.14/4.01 (m_main_v_state1(s188, c_c1) | node1(s188) | node2(s188) | node3(s188) | node4(s188) | node5(s188) | node6(s188, s189)),
% 5.14/4.01 inference(unit_resolution,[status(thm)],[15317, 820, 15314])).
% 5.14/4.01 tff(15319,plain,
% 5.14/4.01 (node6(s188, s189)),
% 5.14/4.01 inference(unit_resolution,[status(thm)],[15318, 15310, 15234, 15306, 15302, 15298, 15281])).
% 5.14/4.01 tff(15320,plain,
% 5.14/4.01 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s188, c_n1) | (~m_main_v_state1(s189, c_n1)) | (~node6(s188, s189)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s188, c_n1) | (~m_main_v_state1(s189, c_n1)) | (~node6(s188, s189)))),
% 5.14/4.01 inference(rewrite,[status(thm)],[])).
% 5.14/4.01 tff(15321,plain,
% 5.14/4.01 (((~node6(s188, s189)) | m_main_v_state1(s188, c_n1) | (~m_main_v_state1(s189, c_n1))) <=> (m_main_v_state1(s188, c_n1) | (~m_main_v_state1(s189, c_n1)) | (~node6(s188, s189)))),
% 5.14/4.01 inference(rewrite,[status(thm)],[])).
% 5.14/4.01 tff(15322,plain,
% 5.14/4.01 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s188, s189)) | m_main_v_state1(s188, c_n1) | (~m_main_v_state1(s189, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s188, c_n1) | (~m_main_v_state1(s189, c_n1)) | (~node6(s188, s189))))),
% 5.14/4.01 inference(monotonicity,[status(thm)],[15321])).
% 5.14/4.01 tff(15323,plain,
% 5.14/4.01 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s188, s189)) | m_main_v_state1(s188, c_n1) | (~m_main_v_state1(s189, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s188, c_n1) | (~m_main_v_state1(s189, c_n1)) | (~node6(s188, s189)))),
% 5.14/4.01 inference(transitivity,[status(thm)],[15322, 15320])).
% 5.14/4.01 tff(15324,plain,
% 5.14/4.01 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s188, s189)) | m_main_v_state1(s188, c_n1) | (~m_main_v_state1(s189, c_n1)))),
% 5.14/4.01 inference(quant_inst,[status(thm)],[])).
% 5.14/4.01 tff(15325,plain,
% 5.14/4.01 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s188, c_n1) | (~m_main_v_state1(s189, c_n1)) | (~node6(s188, s189))),
% 5.14/4.01 inference(modus_ponens,[status(thm)],[15324, 15323])).
% 5.14/4.01 tff(15326,plain,
% 5.14/4.01 (~m_main_v_state1(s189, c_n1)),
% 5.14/4.01 inference(unit_resolution,[status(thm)],[15325, 835, 15226, 15319])).
% 5.14/4.01 tff(15327,plain,
% 5.14/4.01 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s189, c_n1) | (~node2(s189)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s189, c_n1) | (~node2(s189)))),
% 5.14/4.01 inference(rewrite,[status(thm)],[])).
% 5.14/4.01 tff(15328,plain,
% 5.14/4.01 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s189, c_n1) | (~node2(s189)))),
% 5.14/4.01 inference(quant_inst,[status(thm)],[])).
% 5.14/4.01 tff(15329,plain,
% 5.14/4.01 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s189, c_n1) | (~node2(s189))),
% 5.14/4.01 inference(modus_ponens,[status(thm)],[15328, 15327])).
% 5.14/4.01 tff(15330,plain,
% 5.14/4.01 (~node2(s189)),
% 5.14/4.01 inference(unit_resolution,[status(thm)],[15329, 787, 15326])).
% 5.14/4.01 tff(15331,plain,
% 5.14/4.01 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s188, c_t1)) | m_main_v_state1(s189, c_t1) | (~node6(s188, s189)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s188, c_t1)) | m_main_v_state1(s189, c_t1) | (~node6(s188, s189)))),
% 5.14/4.01 inference(rewrite,[status(thm)],[])).
% 5.14/4.01 tff(15332,plain,
% 5.14/4.01 (((~node6(s188, s189)) | (~m_main_v_state1(s188, c_t1)) | m_main_v_state1(s189, c_t1)) <=> ((~m_main_v_state1(s188, c_t1)) | m_main_v_state1(s189, c_t1) | (~node6(s188, s189)))),
% 5.14/4.01 inference(rewrite,[status(thm)],[])).
% 5.14/4.01 tff(15333,plain,
% 5.14/4.01 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s188, s189)) | (~m_main_v_state1(s188, c_t1)) | m_main_v_state1(s189, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s188, c_t1)) | m_main_v_state1(s189, c_t1) | (~node6(s188, s189))))),
% 5.14/4.01 inference(monotonicity,[status(thm)],[15332])).
% 5.14/4.01 tff(15334,plain,
% 5.14/4.01 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s188, s189)) | (~m_main_v_state1(s188, c_t1)) | m_main_v_state1(s189, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s188, c_t1)) | m_main_v_state1(s189, c_t1) | (~node6(s188, s189)))),
% 5.14/4.01 inference(transitivity,[status(thm)],[15333, 15331])).
% 5.14/4.01 tff(15335,plain,
% 5.14/4.01 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s188, s189)) | (~m_main_v_state1(s188, c_t1)) | m_main_v_state1(s189, c_t1))),
% 5.14/4.01 inference(quant_inst,[status(thm)],[])).
% 5.14/4.01 tff(15336,plain,
% 5.14/4.01 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s188, c_t1)) | m_main_v_state1(s189, c_t1) | (~node6(s188, s189))),
% 5.14/4.01 inference(modus_ponens,[status(thm)],[15335, 15334])).
% 5.14/4.01 tff(15337,plain,
% 5.14/4.01 (m_main_v_state1(s189, c_t1)),
% 5.14/4.01 inference(unit_resolution,[status(thm)],[15336, 856, 15222, 15319])).
% 5.14/4.01 tff(15338,plain,
% 5.14/4.01 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s189, c_n2)) | (~m_main_v_state2(s189, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s189, c_n2)) | (~m_main_v_state2(s189, c_t2)))),
% 5.14/4.01 inference(rewrite,[status(thm)],[])).
% 5.14/4.01 tff(15339,plain,
% 5.14/4.01 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s189, c_n2)) | (~m_main_v_state2(s189, c_t2)))),
% 5.14/4.01 inference(quant_inst,[status(thm)],[])).
% 5.14/4.01 tff(15340,plain,
% 5.14/4.01 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s189, c_n2)) | (~m_main_v_state2(s189, c_t2))),
% 5.14/4.01 inference(modus_ponens,[status(thm)],[15339, 15338])).
% 5.14/4.01 tff(15341,plain,
% 5.14/4.01 (~m_main_v_state2(s189, c_t2)),
% 5.14/4.01 inference(unit_resolution,[status(thm)],[15340, 77, 15269])).
% 5.14/4.01 tff(15342,plain,
% 5.14/4.01 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s189, c_t2) | (~node1(s189)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s189, c_t2) | (~node1(s189)))),
% 5.14/4.02 inference(rewrite,[status(thm)],[])).
% 5.14/4.02 tff(15343,plain,
% 5.14/4.02 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s189, c_t2) | (~node1(s189)))),
% 5.14/4.02 inference(quant_inst,[status(thm)],[])).
% 5.14/4.02 tff(15344,plain,
% 5.14/4.02 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s189, c_t2) | (~node1(s189))),
% 5.14/4.02 inference(modus_ponens,[status(thm)],[15343, 15342])).
% 5.14/4.02 tff(15345,plain,
% 5.14/4.02 (~node1(s189)),
% 5.14/4.02 inference(unit_resolution,[status(thm)],[15344, 195, 15341])).
% 5.14/4.02 tff(15346,plain,
% 5.14/4.02 (succ(s189, s190) <=> succ(s189, s190)),
% 5.14/4.02 inference(rewrite,[status(thm)],[])).
% 5.14/4.02 tff(15347,axiom,(succ(s189, s190)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound190')).
% 5.14/4.02 tff(15348,plain,
% 5.14/4.02 (succ(s189, s190)),
% 5.14/4.02 inference(modus_ponens,[status(thm)],[15347, 15346])).
% 5.14/4.02 tff(15349,plain,
% 5.14/4.02 (((~![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))),
% 5.14/4.02 inference(rewrite,[status(thm)],[])).
% 5.14/4.02 tff(15350,plain,
% 5.14/4.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s189, s190)) | trans(s189, s190))),
% 5.14/4.02 inference(quant_inst,[status(thm)],[])).
% 5.14/4.02 tff(15351,plain,
% 5.14/4.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s189, s190)) | trans(s189, s190)),
% 5.14/4.02 inference(modus_ponens,[status(thm)],[15350, 15349])).
% 5.14/4.02 tff(15352,plain,
% 5.14/4.02 (trans(s189, s190)),
% 5.14/4.02 inference(unit_resolution,[status(thm)],[15351, 15348, 32])).
% 5.14/4.02 tff(15353,plain,
% 5.14/4.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s189, s190)) | node7(s189, s190))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s189, s190)) | node7(s189, s190))),
% 5.14/4.02 inference(rewrite,[status(thm)],[])).
% 5.14/4.02 tff(15354,plain,
% 5.14/4.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s189, s190)) | node7(s189, s190))),
% 5.14/4.02 inference(quant_inst,[status(thm)],[])).
% 5.14/4.02 tff(15355,plain,
% 5.14/4.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s189, s190)) | node7(s189, s190)),
% 5.14/4.02 inference(modus_ponens,[status(thm)],[15354, 15353])).
% 5.14/4.02 tff(15356,plain,
% 5.14/4.02 (node7(s189, s190)),
% 5.14/4.02 inference(unit_resolution,[status(thm)],[15355, 206, 15352])).
% 5.14/4.02 tff(15357,plain,
% 5.14/4.02 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s189, c_t1)) | (~m_main_v_state2(s189, c_n2)) | m_main_v_state1(s190, c_c1) | node1(s189) | node2(s189) | node3(s189) | (~node7(s189, s190)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s189, c_t1)) | (~m_main_v_state2(s189, c_n2)) | m_main_v_state1(s190, c_c1) | node1(s189) | node2(s189) | node3(s189) | (~node7(s189, s190)))),
% 5.14/4.02 inference(rewrite,[status(thm)],[])).
% 5.14/4.02 tff(15358,plain,
% 5.14/4.02 (((~m_main_v_state1(s189, c_t1)) | (~m_main_v_state2(s189, c_n2)) | node1(s189) | node2(s189) | node3(s189) | (~node7(s189, s190)) | m_main_v_state1(s190, c_c1)) <=> ((~m_main_v_state1(s189, c_t1)) | (~m_main_v_state2(s189, c_n2)) | m_main_v_state1(s190, c_c1) | node1(s189) | node2(s189) | node3(s189) | (~node7(s189, s190)))),
% 5.14/4.02 inference(rewrite,[status(thm)],[])).
% 5.14/4.02 tff(15359,plain,
% 5.14/4.02 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s189, c_t1)) | (~m_main_v_state2(s189, c_n2)) | node1(s189) | node2(s189) | node3(s189) | (~node7(s189, s190)) | m_main_v_state1(s190, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s189, c_t1)) | (~m_main_v_state2(s189, c_n2)) | m_main_v_state1(s190, c_c1) | node1(s189) | node2(s189) | node3(s189) | (~node7(s189, s190))))),
% 5.14/4.02 inference(monotonicity,[status(thm)],[15358])).
% 5.14/4.02 tff(15360,plain,
% 5.14/4.02 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s189, c_t1)) | (~m_main_v_state2(s189, c_n2)) | node1(s189) | node2(s189) | node3(s189) | (~node7(s189, s190)) | m_main_v_state1(s190, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s189, c_t1)) | (~m_main_v_state2(s189, c_n2)) | m_main_v_state1(s190, c_c1) | node1(s189) | node2(s189) | node3(s189) | (~node7(s189, s190)))),
% 5.14/4.02 inference(transitivity,[status(thm)],[15359, 15357])).
% 5.14/4.02 tff(15361,plain,
% 5.14/4.02 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s189, c_t1)) | (~m_main_v_state2(s189, c_n2)) | node1(s189) | node2(s189) | node3(s189) | (~node7(s189, s190)) | m_main_v_state1(s190, c_c1))),
% 5.14/4.02 inference(quant_inst,[status(thm)],[])).
% 5.14/4.02 tff(15362,plain,
% 5.14/4.02 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s189, c_t1)) | (~m_main_v_state2(s189, c_n2)) | m_main_v_state1(s190, c_c1) | node1(s189) | node2(s189) | node3(s189) | (~node7(s189, s190))),
% 5.14/4.02 inference(modus_ponens,[status(thm)],[15361, 15360])).
% 5.14/4.02 tff(15363,plain,
% 5.14/4.02 ((~m_main_v_state1(s189, c_t1)) | (~m_main_v_state2(s189, c_n2)) | m_main_v_state1(s190, c_c1) | node1(s189) | node2(s189) | node3(s189)),
% 5.14/4.02 inference(unit_resolution,[status(thm)],[15362, 892, 15356])).
% 5.14/4.02 tff(15364,plain,
% 5.14/4.02 (m_main_v_state1(s190, c_c1)),
% 5.14/4.02 inference(unit_resolution,[status(thm)],[15363, 15345, 15269, 15337, 15330, 15277])).
% 5.14/4.02 tff(15365,plain,
% 5.14/4.02 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s190, c_t1)) | (~m_main_v_state1(s190, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s190, c_t1)) | (~m_main_v_state1(s190, c_c1)))),
% 5.14/4.02 inference(rewrite,[status(thm)],[])).
% 5.14/4.02 tff(15366,plain,
% 5.14/4.02 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s190, c_t1)) | (~m_main_v_state1(s190, c_c1)))),
% 5.14/4.02 inference(quant_inst,[status(thm)],[])).
% 5.14/4.02 tff(15367,plain,
% 5.14/4.02 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s190, c_t1)) | (~m_main_v_state1(s190, c_c1))),
% 5.14/4.02 inference(modus_ponens,[status(thm)],[15366, 15365])).
% 5.14/4.02 tff(15368,plain,
% 5.14/4.02 (~m_main_v_state1(s190, c_t1)),
% 5.14/4.02 inference(unit_resolution,[status(thm)],[15367, 539, 15364])).
% 5.14/4.02 tff(15369,plain,
% 5.14/4.02 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s190, c_t1) | (~node5(s190)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s190, c_t1) | (~node5(s190)))),
% 5.14/4.02 inference(rewrite,[status(thm)],[])).
% 5.14/4.02 tff(15370,plain,
% 5.14/4.02 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s190, c_t1) | (~node5(s190)))),
% 5.14/4.02 inference(quant_inst,[status(thm)],[])).
% 5.14/4.02 tff(15371,plain,
% 5.14/4.02 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s190, c_t1) | (~node5(s190))),
% 5.14/4.02 inference(modus_ponens,[status(thm)],[15370, 15369])).
% 5.14/4.02 tff(15372,plain,
% 5.14/4.02 (~node5(s190)),
% 5.14/4.02 inference(unit_resolution,[status(thm)],[15371, 550, 15368])).
% 5.14/4.02 tff(15373,plain,
% 5.14/4.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s189, s190)) | node14(s189, s190))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s189, s190)) | node14(s189, s190))),
% 5.14/4.02 inference(rewrite,[status(thm)],[])).
% 5.14/4.02 tff(15374,plain,
% 5.14/4.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s189, s190)) | node14(s189, s190))),
% 5.14/4.02 inference(quant_inst,[status(thm)],[])).
% 5.14/4.02 tff(15375,plain,
% 5.14/4.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s189, s190)) | node14(s189, s190)),
% 5.14/4.02 inference(modus_ponens,[status(thm)],[15374, 15373])).
% 5.14/4.02 tff(15376,plain,
% 5.14/4.02 (node14(s189, s190)),
% 5.14/4.02 inference(unit_resolution,[status(thm)],[15375, 46, 15352])).
% 5.14/4.02 tff(15377,plain,
% 5.14/4.02 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s189, c_t1)) | (~m_main_v_state2(s189, c_n2)) | (~node14(s189, s190)) | m_main_v_state2(s190, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s189, c_t1)) | (~m_main_v_state2(s189, c_n2)) | (~node14(s189, s190)) | m_main_v_state2(s190, c_t2))),
% 5.14/4.02 inference(rewrite,[status(thm)],[])).
% 5.14/4.02 tff(15378,plain,
% 5.14/4.02 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s189, c_t1)) | (~m_main_v_state2(s189, c_n2)) | (~node14(s189, s190)) | m_main_v_state2(s190, c_t2))),
% 5.14/4.02 inference(quant_inst,[status(thm)],[])).
% 5.14/4.02 tff(15379,plain,
% 5.14/4.02 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s189, c_t1)) | (~m_main_v_state2(s189, c_n2)) | (~node14(s189, s190)) | m_main_v_state2(s190, c_t2)),
% 5.14/4.02 inference(modus_ponens,[status(thm)],[15378, 15377])).
% 5.14/4.02 tff(15380,plain,
% 5.14/4.02 ((~m_main_v_state1(s189, c_t1)) | (~m_main_v_state2(s189, c_n2)) | m_main_v_state2(s190, c_t2)),
% 5.14/4.02 inference(unit_resolution,[status(thm)],[15379, 922, 15376])).
% 5.14/4.02 tff(15381,plain,
% 5.14/4.02 (m_main_v_state2(s190, c_t2)),
% 5.14/4.02 inference(unit_resolution,[status(thm)],[15380, 15337, 15269])).
% 5.14/4.02 tff(15382,plain,
% 5.14/4.02 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s190, c_n2)) | (~m_main_v_state2(s190, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s190, c_n2)) | (~m_main_v_state2(s190, c_t2)))),
% 5.14/4.02 inference(rewrite,[status(thm)],[])).
% 5.14/4.02 tff(15383,plain,
% 5.14/4.02 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s190, c_n2)) | (~m_main_v_state2(s190, c_t2)))),
% 5.14/4.02 inference(quant_inst,[status(thm)],[])).
% 5.14/4.02 tff(15384,plain,
% 5.14/4.02 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s190, c_n2)) | (~m_main_v_state2(s190, c_t2))),
% 5.14/4.02 inference(modus_ponens,[status(thm)],[15383, 15382])).
% 5.14/4.02 tff(15385,plain,
% 5.14/4.02 (~m_main_v_state2(s190, c_n2)),
% 5.14/4.02 inference(unit_resolution,[status(thm)],[15384, 77, 15381])).
% 5.14/4.02 tff(15386,plain,
% 5.14/4.02 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s190, c_n2) | (~node4(s190)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s190, c_n2) | (~node4(s190)))),
% 5.14/4.02 inference(rewrite,[status(thm)],[])).
% 5.14/4.02 tff(15387,plain,
% 5.14/4.02 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s190, c_n2) | (~node4(s190)))),
% 5.14/4.02 inference(quant_inst,[status(thm)],[])).
% 5.14/4.02 tff(15388,plain,
% 5.14/4.02 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s190, c_n2) | (~node4(s190))),
% 5.14/4.02 inference(modus_ponens,[status(thm)],[15387, 15386])).
% 5.14/4.02 tff(15389,plain,
% 5.14/4.02 (~node4(s190)),
% 5.14/4.02 inference(unit_resolution,[status(thm)],[15388, 388, 15385])).
% 5.14/4.02 tff(15390,plain,
% 5.14/4.02 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s190, c_t2)) | (~m_main_v_state2(s190, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s190, c_t2)) | (~m_main_v_state2(s190, c_c2)))),
% 5.14/4.02 inference(rewrite,[status(thm)],[])).
% 5.14/4.02 tff(15391,plain,
% 5.14/4.02 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s190, c_t2)) | (~m_main_v_state2(s190, c_c2)))),
% 5.14/4.02 inference(quant_inst,[status(thm)],[])).
% 5.14/4.02 tff(15392,plain,
% 5.14/4.02 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s190, c_t2)) | (~m_main_v_state2(s190, c_c2))),
% 5.14/4.02 inference(modus_ponens,[status(thm)],[15391, 15390])).
% 5.14/4.02 tff(15393,plain,
% 5.14/4.02 (~m_main_v_state2(s190, c_c2)),
% 5.14/4.02 inference(unit_resolution,[status(thm)],[15392, 260, 15381])).
% 5.14/4.02 tff(15394,plain,
% 5.14/4.02 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s190, c_c2) | (~node3(s190)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s190, c_c2) | (~node3(s190)))),
% 5.14/4.02 inference(rewrite,[status(thm)],[])).
% 5.14/4.02 tff(15395,plain,
% 5.14/4.02 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s190, c_c2) | (~node3(s190)))),
% 5.14/4.02 inference(quant_inst,[status(thm)],[])).
% 5.14/4.02 tff(15396,plain,
% 5.14/4.02 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s190, c_c2) | (~node3(s190))),
% 5.14/4.02 inference(modus_ponens,[status(thm)],[15395, 15394])).
% 5.14/4.02 tff(15397,plain,
% 5.14/4.02 (~node3(s190)),
% 5.14/4.02 inference(unit_resolution,[status(thm)],[15396, 399, 15393])).
% 5.14/4.02 tff(15398,plain,
% 5.14/4.02 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s190, c_n2) | (~node2(s190)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s190, c_n2) | (~node2(s190)))),
% 5.14/4.02 inference(rewrite,[status(thm)],[])).
% 5.14/4.02 tff(15399,plain,
% 5.14/4.02 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s190, c_n2) | (~node2(s190)))),
% 5.14/4.02 inference(quant_inst,[status(thm)],[])).
% 5.14/4.02 tff(15400,plain,
% 5.14/4.02 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s190, c_n2) | (~node2(s190))),
% 5.14/4.02 inference(modus_ponens,[status(thm)],[15399, 15398])).
% 5.14/4.02 tff(15401,plain,
% 5.14/4.02 (~node2(s190)),
% 5.14/4.02 inference(unit_resolution,[status(thm)],[15400, 410, 15385])).
% 5.14/4.02 tff(15402,plain,
% 5.14/4.02 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s190, c_n1)) | (~m_main_v_state1(s190, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s190, c_n1)) | (~m_main_v_state1(s190, c_c1)))),
% 5.14/4.02 inference(rewrite,[status(thm)],[])).
% 5.14/4.02 tff(15403,plain,
% 5.14/4.02 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s190, c_n1)) | (~m_main_v_state1(s190, c_c1)))),
% 5.14/4.02 inference(quant_inst,[status(thm)],[])).
% 5.14/4.02 tff(15404,plain,
% 5.14/4.02 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s190, c_n1)) | (~m_main_v_state1(s190, c_c1))),
% 5.14/4.02 inference(modus_ponens,[status(thm)],[15403, 15402])).
% 5.14/4.02 tff(15405,plain,
% 5.14/4.02 (~m_main_v_state1(s190, c_n1)),
% 5.14/4.02 inference(unit_resolution,[status(thm)],[15404, 454, 15364])).
% 5.14/4.02 tff(15406,plain,
% 5.14/4.02 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s190, c_n1) | (~node1(s190)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s190, c_n1) | (~node1(s190)))),
% 5.14/4.02 inference(rewrite,[status(thm)],[])).
% 5.14/4.02 tff(15407,plain,
% 5.14/4.02 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s190, c_n1) | (~node1(s190)))),
% 5.14/4.02 inference(quant_inst,[status(thm)],[])).
% 5.14/4.02 tff(15408,plain,
% 5.14/4.02 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s190, c_n1) | (~node1(s190))),
% 5.14/4.02 inference(modus_ponens,[status(thm)],[15407, 15406])).
% 5.14/4.02 tff(15409,plain,
% 5.14/4.02 (~node1(s190)),
% 5.14/4.02 inference(unit_resolution,[status(thm)],[15408, 421, 15405])).
% 5.14/4.02 tff(15410,plain,
% 5.14/4.02 (succ(s190, s191) <=> succ(s190, s191)),
% 5.14/4.02 inference(rewrite,[status(thm)],[])).
% 5.14/4.02 tff(15411,axiom,(succ(s190, s191)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound191')).
% 5.14/4.02 tff(15412,plain,
% 5.14/4.02 (succ(s190, s191)),
% 5.14/4.02 inference(modus_ponens,[status(thm)],[15411, 15410])).
% 5.14/4.02 tff(15413,plain,
% 5.14/4.02 (((~![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))),
% 5.14/4.02 inference(rewrite,[status(thm)],[])).
% 5.14/4.02 tff(15414,plain,
% 5.14/4.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s190, s191)) | trans(s190, s191))),
% 5.14/4.02 inference(quant_inst,[status(thm)],[])).
% 5.14/4.02 tff(15415,plain,
% 5.14/4.02 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s190, s191)) | trans(s190, s191)),
% 5.14/4.02 inference(modus_ponens,[status(thm)],[15414, 15413])).
% 5.14/4.02 tff(15416,plain,
% 5.14/4.02 (trans(s190, s191)),
% 5.14/4.02 inference(unit_resolution,[status(thm)],[15415, 15412, 32])).
% 5.14/4.02 tff(15417,plain,
% 5.14/4.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s190, s191)) | node7(s190, s191))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s190, s191)) | node7(s190, s191))),
% 5.14/4.02 inference(rewrite,[status(thm)],[])).
% 5.14/4.02 tff(15418,plain,
% 5.14/4.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s190, s191)) | node7(s190, s191))),
% 5.14/4.02 inference(quant_inst,[status(thm)],[])).
% 5.14/4.02 tff(15419,plain,
% 5.14/4.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s190, s191)) | node7(s190, s191)),
% 5.14/4.02 inference(modus_ponens,[status(thm)],[15418, 15417])).
% 5.14/4.02 tff(15420,plain,
% 5.14/4.02 (node7(s190, s191)),
% 5.14/4.02 inference(unit_resolution,[status(thm)],[15419, 206, 15416])).
% 5.14/4.02 tff(15421,plain,
% 5.14/4.02 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s191, c_n1) | (~m_main_v_state1(s190, c_c1)) | node1(s190) | node2(s190) | node3(s190) | node4(s190) | node5(s190) | (~node7(s190, s191)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s191, c_n1) | (~m_main_v_state1(s190, c_c1)) | node1(s190) | node2(s190) | node3(s190) | node4(s190) | node5(s190) | (~node7(s190, s191)))),
% 5.14/4.02 inference(rewrite,[status(thm)],[])).
% 5.14/4.02 tff(15422,plain,
% 5.14/4.02 (((~m_main_v_state1(s190, c_c1)) | node1(s190) | node2(s190) | node3(s190) | node4(s190) | node5(s190) | (~node7(s190, s191)) | m_main_v_state1(s191, c_n1)) <=> (m_main_v_state1(s191, c_n1) | (~m_main_v_state1(s190, c_c1)) | node1(s190) | node2(s190) | node3(s190) | node4(s190) | node5(s190) | (~node7(s190, s191)))),
% 5.14/4.02 inference(rewrite,[status(thm)],[])).
% 5.14/4.02 tff(15423,plain,
% 5.14/4.02 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s190, c_c1)) | node1(s190) | node2(s190) | node3(s190) | node4(s190) | node5(s190) | (~node7(s190, s191)) | m_main_v_state1(s191, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s191, c_n1) | (~m_main_v_state1(s190, c_c1)) | node1(s190) | node2(s190) | node3(s190) | node4(s190) | node5(s190) | (~node7(s190, s191))))),
% 5.14/4.02 inference(monotonicity,[status(thm)],[15422])).
% 5.14/4.02 tff(15424,plain,
% 5.14/4.02 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s190, c_c1)) | node1(s190) | node2(s190) | node3(s190) | node4(s190) | node5(s190) | (~node7(s190, s191)) | m_main_v_state1(s191, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s191, c_n1) | (~m_main_v_state1(s190, c_c1)) | node1(s190) | node2(s190) | node3(s190) | node4(s190) | node5(s190) | (~node7(s190, s191)))),
% 5.14/4.02 inference(transitivity,[status(thm)],[15423, 15421])).
% 5.14/4.02 tff(15425,plain,
% 5.14/4.02 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s190, c_c1)) | node1(s190) | node2(s190) | node3(s190) | node4(s190) | node5(s190) | (~node7(s190, s191)) | m_main_v_state1(s191, c_n1))),
% 5.14/4.02 inference(quant_inst,[status(thm)],[])).
% 5.14/4.02 tff(15426,plain,
% 5.14/4.02 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s191, c_n1) | (~m_main_v_state1(s190, c_c1)) | node1(s190) | node2(s190) | node3(s190) | node4(s190) | node5(s190) | (~node7(s190, s191))),
% 5.14/4.02 inference(modus_ponens,[status(thm)],[15425, 15424])).
% 5.14/4.02 tff(15427,plain,
% 5.14/4.02 (m_main_v_state1(s191, c_n1) | (~m_main_v_state1(s190, c_c1)) | node1(s190) | node2(s190) | node3(s190) | node4(s190) | node5(s190)),
% 5.14/4.02 inference(unit_resolution,[status(thm)],[15426, 584, 15420])).
% 5.14/4.02 tff(15428,plain,
% 5.14/4.02 (m_main_v_state1(s191, c_n1)),
% 5.14/4.02 inference(unit_resolution,[status(thm)],[15427, 15409, 15364, 15401, 15397, 15389, 15372])).
% 5.14/4.02 tff(15429,plain,
% 5.14/4.02 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s189, c_t2) | (~node15(s189)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s189, c_t2) | (~node15(s189)))),
% 5.14/4.02 inference(rewrite,[status(thm)],[])).
% 5.14/4.02 tff(15430,plain,
% 5.14/4.02 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s189, c_t2) | (~node15(s189)))),
% 5.14/4.02 inference(quant_inst,[status(thm)],[])).
% 5.14/4.02 tff(15431,plain,
% 5.14/4.02 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s189, c_t2) | (~node15(s189))),
% 5.14/4.02 inference(modus_ponens,[status(thm)],[15430, 15429])).
% 5.14/4.02 tff(15432,plain,
% 5.14/4.02 (~node15(s189)),
% 5.14/4.02 inference(unit_resolution,[status(thm)],[15431, 103, 15341])).
% 5.14/4.02 tff(15433,plain,
% 5.14/4.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s189, s190)) | node18(s189, s190))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s189, s190)) | node18(s189, s190))),
% 5.14/4.02 inference(rewrite,[status(thm)],[])).
% 5.14/4.02 tff(15434,plain,
% 5.14/4.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s189, s190)) | node18(s189, s190))),
% 5.14/4.02 inference(quant_inst,[status(thm)],[])).
% 5.14/4.02 tff(15435,plain,
% 5.14/4.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s189, s190)) | node18(s189, s190)),
% 5.14/4.02 inference(modus_ponens,[status(thm)],[15434, 15433])).
% 5.14/4.02 tff(15436,plain,
% 5.14/4.02 (node18(s189, s190)),
% 5.14/4.02 inference(unit_resolution,[status(thm)],[15435, 125, 15352])).
% 5.14/4.02 tff(15437,plain,
% 5.14/4.02 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s189) | (~node18(s189, s190)) | (~m_main_v_state1(s189, c_t1)) | (~m_main_v_state2(s189, c_n2)) | m_main_v_turn(s190, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s189) | (~node18(s189, s190)) | (~m_main_v_state1(s189, c_t1)) | (~m_main_v_state2(s189, c_n2)) | m_main_v_turn(s190, c_1))),
% 5.14/4.02 inference(rewrite,[status(thm)],[])).
% 5.14/4.02 tff(15438,plain,
% 5.14/4.02 (((~m_main_v_state1(s189, c_t1)) | (~m_main_v_state2(s189, c_n2)) | node15(s189) | (~node18(s189, s190)) | m_main_v_turn(s190, c_1)) <=> (node15(s189) | (~node18(s189, s190)) | (~m_main_v_state1(s189, c_t1)) | (~m_main_v_state2(s189, c_n2)) | m_main_v_turn(s190, c_1))),
% 5.14/4.02 inference(rewrite,[status(thm)],[])).
% 5.14/4.02 tff(15439,plain,
% 5.14/4.02 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s189, c_t1)) | (~m_main_v_state2(s189, c_n2)) | node15(s189) | (~node18(s189, s190)) | m_main_v_turn(s190, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s189) | (~node18(s189, s190)) | (~m_main_v_state1(s189, c_t1)) | (~m_main_v_state2(s189, c_n2)) | m_main_v_turn(s190, c_1)))),
% 5.14/4.02 inference(monotonicity,[status(thm)],[15438])).
% 5.14/4.02 tff(15440,plain,
% 5.14/4.02 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s189, c_t1)) | (~m_main_v_state2(s189, c_n2)) | node15(s189) | (~node18(s189, s190)) | m_main_v_turn(s190, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s189) | (~node18(s189, s190)) | (~m_main_v_state1(s189, c_t1)) | (~m_main_v_state2(s189, c_n2)) | m_main_v_turn(s190, c_1))),
% 5.14/4.02 inference(transitivity,[status(thm)],[15439, 15437])).
% 5.14/4.02 tff(15441,plain,
% 5.14/4.02 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s189, c_t1)) | (~m_main_v_state2(s189, c_n2)) | node15(s189) | (~node18(s189, s190)) | m_main_v_turn(s190, c_1))),
% 5.14/4.02 inference(quant_inst,[status(thm)],[])).
% 5.14/4.02 tff(15442,plain,
% 5.14/4.02 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s189) | (~node18(s189, s190)) | (~m_main_v_state1(s189, c_t1)) | (~m_main_v_state2(s189, c_n2)) | m_main_v_turn(s190, c_1)),
% 5.14/4.02 inference(modus_ponens,[status(thm)],[15441, 15440])).
% 5.14/4.02 tff(15443,plain,
% 5.14/4.02 (node15(s189) | (~m_main_v_state1(s189, c_t1)) | (~m_main_v_state2(s189, c_n2)) | m_main_v_turn(s190, c_1)),
% 5.14/4.02 inference(unit_resolution,[status(thm)],[15442, 992, 15436])).
% 5.14/4.02 tff(15444,plain,
% 5.14/4.02 (m_main_v_turn(s190, c_1)),
% 5.14/4.02 inference(unit_resolution,[status(thm)],[15443, 15432, 15269, 15337])).
% 5.14/4.02 tff(15445,plain,
% 5.14/4.02 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s190, c_1)) | (~m_main_v_turn(s190, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s190, c_1)) | (~m_main_v_turn(s190, c_2)))),
% 5.14/4.02 inference(rewrite,[status(thm)],[])).
% 5.14/4.02 tff(15446,plain,
% 5.14/4.02 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s190, c_1)) | (~m_main_v_turn(s190, c_2)))),
% 5.14/4.02 inference(quant_inst,[status(thm)],[])).
% 5.14/4.02 tff(15447,plain,
% 5.14/4.02 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s190, c_1)) | (~m_main_v_turn(s190, c_2))),
% 5.14/4.02 inference(modus_ponens,[status(thm)],[15446, 15445])).
% 5.14/4.02 tff(15448,plain,
% 5.14/4.02 (~m_main_v_turn(s190, c_2)),
% 5.14/4.02 inference(unit_resolution,[status(thm)],[15447, 156, 15444])).
% 5.14/4.02 tff(15449,plain,
% 5.14/4.02 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s190, c_2) | (~node12(s190)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s190, c_2) | (~node12(s190)))),
% 5.14/4.02 inference(rewrite,[status(thm)],[])).
% 5.14/4.02 tff(15450,plain,
% 5.14/4.02 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s190, c_2) | (~node12(s190)))),
% 5.14/4.02 inference(quant_inst,[status(thm)],[])).
% 5.14/4.02 tff(15451,plain,
% 5.14/4.02 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s190, c_2) | (~node12(s190))),
% 5.14/4.02 inference(modus_ponens,[status(thm)],[15450, 15449])).
% 5.14/4.02 tff(15452,plain,
% 5.14/4.02 (~node12(s190)),
% 5.14/4.02 inference(unit_resolution,[status(thm)],[15451, 184, 15448])).
% 5.14/4.02 tff(15453,plain,
% 5.14/4.02 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s190, c_n2) | (~node8(s190)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s190, c_n2) | (~node8(s190)))),
% 5.14/4.02 inference(rewrite,[status(thm)],[])).
% 5.14/4.02 tff(15454,plain,
% 5.14/4.02 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s190, c_n2) | (~node8(s190)))),
% 5.14/4.02 inference(quant_inst,[status(thm)],[])).
% 5.14/4.02 tff(15455,plain,
% 5.14/4.02 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s190, c_n2) | (~node8(s190))),
% 5.14/4.02 inference(modus_ponens,[status(thm)],[15454, 15453])).
% 5.14/4.02 tff(15456,plain,
% 5.14/4.02 (~node8(s190)),
% 5.14/4.02 inference(unit_resolution,[status(thm)],[15455, 271, 15385])).
% 5.14/4.02 tff(15457,plain,
% 5.14/4.02 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s190, c_n2) | (~node9(s190)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s190, c_n2) | (~node9(s190)))),
% 5.14/4.02 inference(rewrite,[status(thm)],[])).
% 5.14/4.02 tff(15458,plain,
% 5.14/4.02 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s190, c_n2) | (~node9(s190)))),
% 5.14/4.02 inference(quant_inst,[status(thm)],[])).
% 5.14/4.02 tff(15459,plain,
% 5.14/4.02 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s190, c_n2) | (~node9(s190))),
% 5.14/4.03 inference(modus_ponens,[status(thm)],[15458, 15457])).
% 5.14/4.03 tff(15460,plain,
% 5.14/4.03 (~node9(s190)),
% 5.14/4.03 inference(unit_resolution,[status(thm)],[15459, 88, 15385])).
% 5.14/4.03 tff(15461,plain,
% 5.14/4.03 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s190, c_n2) | (~node10(s190)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s190, c_n2) | (~node10(s190)))),
% 5.14/4.03 inference(rewrite,[status(thm)],[])).
% 5.14/4.03 tff(15462,plain,
% 5.14/4.03 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s190, c_n2) | (~node10(s190)))),
% 5.14/4.03 inference(quant_inst,[status(thm)],[])).
% 5.14/4.03 tff(15463,plain,
% 5.14/4.03 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s190, c_n2) | (~node10(s190))),
% 5.14/4.03 inference(modus_ponens,[status(thm)],[15462, 15461])).
% 5.14/4.03 tff(15464,plain,
% 5.14/4.03 (~node10(s190)),
% 5.14/4.03 inference(unit_resolution,[status(thm)],[15463, 249, 15385])).
% 5.14/4.03 tff(15465,plain,
% 5.14/4.03 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s190, c_n1) | (~node11(s190)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s190, c_n1) | (~node11(s190)))),
% 5.14/4.03 inference(rewrite,[status(thm)],[])).
% 5.14/4.03 tff(15466,plain,
% 5.14/4.03 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s190, c_n1) | (~node11(s190)))),
% 5.14/4.03 inference(quant_inst,[status(thm)],[])).
% 5.14/4.03 tff(15467,plain,
% 5.14/4.03 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s190, c_n1) | (~node11(s190))),
% 5.14/4.03 inference(modus_ponens,[status(thm)],[15466, 15465])).
% 5.14/4.03 tff(15468,plain,
% 5.14/4.03 (~node11(s190)),
% 5.14/4.03 inference(unit_resolution,[status(thm)],[15467, 238, 15405])).
% 5.14/4.03 tff(15469,plain,
% 5.14/4.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s190, s191)) | node14(s190, s191))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s190, s191)) | node14(s190, s191))),
% 5.14/4.03 inference(rewrite,[status(thm)],[])).
% 5.14/4.03 tff(15470,plain,
% 5.14/4.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s190, s191)) | node14(s190, s191))),
% 5.14/4.03 inference(quant_inst,[status(thm)],[])).
% 5.14/4.03 tff(15471,plain,
% 5.14/4.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s190, s191)) | node14(s190, s191)),
% 5.14/4.03 inference(modus_ponens,[status(thm)],[15470, 15469])).
% 5.14/4.03 tff(15472,plain,
% 5.14/4.03 (node14(s190, s191)),
% 5.14/4.03 inference(unit_resolution,[status(thm)],[15471, 46, 15416])).
% 5.14/4.03 tff(15473,plain,
% 5.14/4.03 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s190, c_c2) | node9(s190) | node8(s190) | node10(s190) | node11(s190) | node12(s190) | node13(s190, s191) | (~node14(s190, s191)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s190, c_c2) | node9(s190) | node8(s190) | node10(s190) | node11(s190) | node12(s190) | node13(s190, s191) | (~node14(s190, s191)))),
% 5.14/4.03 inference(rewrite,[status(thm)],[])).
% 5.14/4.03 tff(15474,plain,
% 5.14/4.03 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s190, c_c2) | node9(s190) | node8(s190) | node10(s190) | node11(s190) | node12(s190) | node13(s190, s191) | (~node14(s190, s191)))),
% 5.14/4.03 inference(quant_inst,[status(thm)],[])).
% 5.14/4.03 tff(15475,plain,
% 5.14/4.03 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s190, c_c2) | node9(s190) | node8(s190) | node10(s190) | node11(s190) | node12(s190) | node13(s190, s191) | (~node14(s190, s191))),
% 5.14/4.03 inference(modus_ponens,[status(thm)],[15474, 15473])).
% 5.14/4.03 tff(15476,plain,
% 5.14/4.03 (m_main_v_state2(s190, c_c2) | node9(s190) | node8(s190) | node10(s190) | node11(s190) | node12(s190) | node13(s190, s191)),
% 5.14/4.03 inference(unit_resolution,[status(thm)],[15475, 296, 15472])).
% 5.14/4.03 tff(15477,plain,
% 5.14/4.03 (node13(s190, s191)),
% 5.14/4.03 inference(unit_resolution,[status(thm)],[15476, 15468, 15393, 15464, 15460, 15456, 15452])).
% 5.14/4.03 tff(15478,plain,
% 5.14/4.03 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s190, c_t2)) | m_main_v_state2(s191, c_t2) | (~node13(s190, s191)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s190, c_t2)) | m_main_v_state2(s191, c_t2) | (~node13(s190, s191)))),
% 5.14/4.03 inference(rewrite,[status(thm)],[])).
% 5.14/4.03 tff(15479,plain,
% 5.14/4.03 (((~node13(s190, s191)) | (~m_main_v_state2(s190, c_t2)) | m_main_v_state2(s191, c_t2)) <=> ((~m_main_v_state2(s190, c_t2)) | m_main_v_state2(s191, c_t2) | (~node13(s190, s191)))),
% 5.14/4.03 inference(rewrite,[status(thm)],[])).
% 5.14/4.03 tff(15480,plain,
% 5.14/4.03 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s190, s191)) | (~m_main_v_state2(s190, c_t2)) | m_main_v_state2(s191, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s190, c_t2)) | m_main_v_state2(s191, c_t2) | (~node13(s190, s191))))),
% 5.14/4.03 inference(monotonicity,[status(thm)],[15479])).
% 5.14/4.03 tff(15481,plain,
% 5.14/4.03 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s190, s191)) | (~m_main_v_state2(s190, c_t2)) | m_main_v_state2(s191, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s190, c_t2)) | m_main_v_state2(s191, c_t2) | (~node13(s190, s191)))),
% 5.14/4.03 inference(transitivity,[status(thm)],[15480, 15478])).
% 5.14/4.03 tff(15482,plain,
% 5.14/4.03 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s190, s191)) | (~m_main_v_state2(s190, c_t2)) | m_main_v_state2(s191, c_t2))),
% 5.14/4.03 inference(quant_inst,[status(thm)],[])).
% 5.14/4.03 tff(15483,plain,
% 5.14/4.03 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s190, c_t2)) | m_main_v_state2(s191, c_t2) | (~node13(s190, s191))),
% 5.14/4.03 inference(modus_ponens,[status(thm)],[15482, 15481])).
% 5.14/4.03 tff(15484,plain,
% 5.14/4.03 (m_main_v_state2(s191, c_t2)),
% 5.14/4.03 inference(unit_resolution,[status(thm)],[15483, 518, 15381, 15477])).
% 5.14/4.03 tff(15485,plain,
% 5.14/4.03 (succ(s191, s192) <=> succ(s191, s192)),
% 5.14/4.03 inference(rewrite,[status(thm)],[])).
% 5.14/4.03 tff(15486,axiom,(succ(s191, s192)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound192')).
% 5.14/4.03 tff(15487,plain,
% 5.14/4.03 (succ(s191, s192)),
% 5.14/4.03 inference(modus_ponens,[status(thm)],[15486, 15485])).
% 5.14/4.03 tff(15488,plain,
% 5.14/4.03 (((~![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))),
% 5.14/4.03 inference(rewrite,[status(thm)],[])).
% 5.14/4.03 tff(15489,plain,
% 5.14/4.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s191, s192)) | trans(s191, s192))),
% 5.14/4.03 inference(quant_inst,[status(thm)],[])).
% 5.14/4.03 tff(15490,plain,
% 5.14/4.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s191, s192)) | trans(s191, s192)),
% 5.14/4.03 inference(modus_ponens,[status(thm)],[15489, 15488])).
% 5.14/4.03 tff(15491,plain,
% 5.14/4.03 (trans(s191, s192)),
% 5.14/4.03 inference(unit_resolution,[status(thm)],[15490, 15487, 32])).
% 5.14/4.03 tff(15492,plain,
% 5.14/4.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s191, s192)) | node7(s191, s192))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s191, s192)) | node7(s191, s192))),
% 5.14/4.03 inference(rewrite,[status(thm)],[])).
% 5.14/4.03 tff(15493,plain,
% 5.14/4.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s191, s192)) | node7(s191, s192))),
% 5.14/4.03 inference(quant_inst,[status(thm)],[])).
% 5.14/4.03 tff(15494,plain,
% 5.14/4.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s191, s192)) | node7(s191, s192)),
% 5.14/4.03 inference(modus_ponens,[status(thm)],[15493, 15492])).
% 5.14/4.03 tff(15495,plain,
% 5.14/4.03 (node7(s191, s192)),
% 5.14/4.03 inference(unit_resolution,[status(thm)],[15494, 206, 15491])).
% 5.14/4.03 tff(15496,plain,
% 5.14/4.03 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s191, c_n1)) | (~m_main_v_state2(s191, c_t2)) | (~node7(s191, s192)) | m_main_v_state1(s192, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s191, c_n1)) | (~m_main_v_state2(s191, c_t2)) | (~node7(s191, s192)) | m_main_v_state1(s192, c_t1))),
% 5.14/4.03 inference(rewrite,[status(thm)],[])).
% 5.14/4.03 tff(15497,plain,
% 5.14/4.03 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s191, c_n1)) | (~m_main_v_state2(s191, c_t2)) | (~node7(s191, s192)) | m_main_v_state1(s192, c_t1))),
% 5.14/4.03 inference(quant_inst,[status(thm)],[])).
% 5.14/4.03 tff(15498,plain,
% 5.14/4.03 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s191, c_n1)) | (~m_main_v_state2(s191, c_t2)) | (~node7(s191, s192)) | m_main_v_state1(s192, c_t1)),
% 5.14/4.03 inference(modus_ponens,[status(thm)],[15497, 15496])).
% 5.14/4.03 tff(15499,plain,
% 5.14/4.03 ((~m_main_v_state1(s191, c_n1)) | (~m_main_v_state2(s191, c_t2)) | m_main_v_state1(s192, c_t1)),
% 5.14/4.03 inference(unit_resolution,[status(thm)],[15498, 651, 15495])).
% 5.14/4.03 tff(15500,plain,
% 5.14/4.03 (m_main_v_state1(s192, c_t1)),
% 5.14/4.03 inference(unit_resolution,[status(thm)],[15499, 15484, 15428])).
% 5.14/4.03 tff(15501,plain,
% 5.14/4.03 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s192, c_n1)) | (~m_main_v_state1(s192, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s192, c_n1)) | (~m_main_v_state1(s192, c_t1)))),
% 5.14/4.03 inference(rewrite,[status(thm)],[])).
% 5.14/4.03 tff(15502,plain,
% 5.14/4.03 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s192, c_n1)) | (~m_main_v_state1(s192, c_t1)))),
% 5.14/4.03 inference(quant_inst,[status(thm)],[])).
% 5.14/4.03 tff(15503,plain,
% 5.14/4.03 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s192, c_n1)) | (~m_main_v_state1(s192, c_t1))),
% 5.14/4.03 inference(modus_ponens,[status(thm)],[15502, 15501])).
% 5.14/4.03 tff(15504,plain,
% 5.14/4.03 (~m_main_v_state1(s192, c_n1)),
% 5.14/4.03 inference(unit_resolution,[status(thm)],[15503, 10, 15500])).
% 5.14/4.03 tff(15505,plain,
% 5.14/4.03 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s192, c_n1) | (~node1(s192)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s192, c_n1) | (~node1(s192)))),
% 5.14/4.03 inference(rewrite,[status(thm)],[])).
% 5.14/4.03 tff(15506,plain,
% 5.14/4.03 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s192, c_n1) | (~node1(s192)))),
% 5.14/4.03 inference(quant_inst,[status(thm)],[])).
% 5.14/4.03 tff(15507,plain,
% 5.14/4.03 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s192, c_n1) | (~node1(s192))),
% 5.14/4.03 inference(modus_ponens,[status(thm)],[15506, 15505])).
% 5.14/4.03 tff(15508,plain,
% 5.14/4.03 (~node1(s192)),
% 5.14/4.03 inference(unit_resolution,[status(thm)],[15507, 421, 15504])).
% 5.14/4.03 tff(15509,plain,
% 5.14/4.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s191, s192)) | node18(s191, s192))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s191, s192)) | node18(s191, s192))),
% 5.14/4.03 inference(rewrite,[status(thm)],[])).
% 5.14/4.03 tff(15510,plain,
% 5.14/4.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s191, s192)) | node18(s191, s192))),
% 5.14/4.03 inference(quant_inst,[status(thm)],[])).
% 5.14/4.03 tff(15511,plain,
% 5.14/4.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s191, s192)) | node18(s191, s192)),
% 5.14/4.03 inference(modus_ponens,[status(thm)],[15510, 15509])).
% 5.14/4.03 tff(15512,plain,
% 5.14/4.03 (node18(s191, s192)),
% 5.14/4.03 inference(unit_resolution,[status(thm)],[15511, 125, 15491])).
% 5.14/4.03 tff(15513,plain,
% 5.14/4.03 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s191, c_n1)) | (~m_main_v_state2(s191, c_t2)) | (~node18(s191, s192)) | m_main_v_turn(s192, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s191, c_n1)) | (~m_main_v_state2(s191, c_t2)) | (~node18(s191, s192)) | m_main_v_turn(s192, c_2))),
% 5.14/4.03 inference(rewrite,[status(thm)],[])).
% 5.14/4.03 tff(15514,plain,
% 5.14/4.03 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s191, c_n1)) | (~m_main_v_state2(s191, c_t2)) | (~node18(s191, s192)) | m_main_v_turn(s192, c_2))),
% 5.14/4.03 inference(quant_inst,[status(thm)],[])).
% 5.14/4.03 tff(15515,plain,
% 5.14/4.03 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s191, c_n1)) | (~m_main_v_state2(s191, c_t2)) | (~node18(s191, s192)) | m_main_v_turn(s192, c_2)),
% 5.14/4.03 inference(modus_ponens,[status(thm)],[15514, 15513])).
% 5.14/4.03 tff(15516,plain,
% 5.14/4.03 ((~m_main_v_state1(s191, c_n1)) | (~m_main_v_state2(s191, c_t2)) | m_main_v_turn(s192, c_2)),
% 5.14/4.03 inference(unit_resolution,[status(thm)],[15515, 760, 15512])).
% 5.14/4.03 tff(15517,plain,
% 5.14/4.03 (m_main_v_turn(s192, c_2)),
% 5.14/4.03 inference(unit_resolution,[status(thm)],[15516, 15484, 15428])).
% 5.14/4.03 tff(15518,plain,
% 5.14/4.03 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s192, c_1)) | (~m_main_v_turn(s192, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s192, c_1)) | (~m_main_v_turn(s192, c_2)))),
% 5.14/4.03 inference(rewrite,[status(thm)],[])).
% 5.14/4.03 tff(15519,plain,
% 5.14/4.03 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s192, c_1)) | (~m_main_v_turn(s192, c_2)))),
% 5.14/4.03 inference(quant_inst,[status(thm)],[])).
% 5.14/4.03 tff(15520,plain,
% 5.14/4.03 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s192, c_1)) | (~m_main_v_turn(s192, c_2))),
% 5.14/4.03 inference(modus_ponens,[status(thm)],[15519, 15518])).
% 5.14/4.03 tff(15521,plain,
% 5.14/4.03 (~m_main_v_turn(s192, c_1)),
% 5.14/4.03 inference(unit_resolution,[status(thm)],[15520, 156, 15517])).
% 5.14/4.03 tff(15522,plain,
% 5.14/4.03 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s192, c_1) | (~node5(s192)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s192, c_1) | (~node5(s192)))),
% 5.14/4.03 inference(rewrite,[status(thm)],[])).
% 5.14/4.03 tff(15523,plain,
% 5.14/4.03 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s192, c_1) | (~node5(s192)))),
% 5.14/4.03 inference(quant_inst,[status(thm)],[])).
% 5.14/4.03 tff(15524,plain,
% 5.14/4.03 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s192, c_1) | (~node5(s192))),
% 5.14/4.03 inference(modus_ponens,[status(thm)],[15523, 15522])).
% 5.14/4.03 tff(15525,plain,
% 5.14/4.03 (~node5(s192)),
% 5.14/4.03 inference(unit_resolution,[status(thm)],[15524, 776, 15521])).
% 5.14/4.03 tff(15526,plain,
% 5.14/4.03 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s192, c_n1) | (~node2(s192)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s192, c_n1) | (~node2(s192)))),
% 5.14/4.03 inference(rewrite,[status(thm)],[])).
% 5.14/4.03 tff(15527,plain,
% 5.14/4.03 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s192, c_n1) | (~node2(s192)))),
% 5.14/4.03 inference(quant_inst,[status(thm)],[])).
% 5.14/4.03 tff(15528,plain,
% 5.14/4.03 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s192, c_n1) | (~node2(s192))),
% 5.14/4.03 inference(modus_ponens,[status(thm)],[15527, 15526])).
% 5.14/4.03 tff(15529,plain,
% 5.14/4.03 (~node2(s192)),
% 5.14/4.03 inference(unit_resolution,[status(thm)],[15528, 787, 15504])).
% 5.14/4.03 tff(15530,plain,
% 5.14/4.03 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s192, c_n1) | (~node3(s192)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s192, c_n1) | (~node3(s192)))),
% 5.14/4.03 inference(rewrite,[status(thm)],[])).
% 5.14/4.03 tff(15531,plain,
% 5.14/4.03 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s192, c_n1) | (~node3(s192)))),
% 5.14/4.03 inference(quant_inst,[status(thm)],[])).
% 5.14/4.03 tff(15532,plain,
% 5.14/4.03 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s192, c_n1) | (~node3(s192))),
% 5.14/4.03 inference(modus_ponens,[status(thm)],[15531, 15530])).
% 5.14/4.03 tff(15533,plain,
% 5.14/4.03 (~node3(s192)),
% 5.14/4.03 inference(unit_resolution,[status(thm)],[15532, 798, 15504])).
% 5.14/4.03 tff(15534,plain,
% 5.14/4.03 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s192, c_t1)) | (~m_main_v_state1(s192, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s192, c_t1)) | (~m_main_v_state1(s192, c_c1)))),
% 5.14/4.03 inference(rewrite,[status(thm)],[])).
% 5.14/4.03 tff(15535,plain,
% 5.14/4.03 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s192, c_t1)) | (~m_main_v_state1(s192, c_c1)))),
% 5.14/4.03 inference(quant_inst,[status(thm)],[])).
% 5.14/4.03 tff(15536,plain,
% 5.14/4.03 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s192, c_t1)) | (~m_main_v_state1(s192, c_c1))),
% 5.14/4.03 inference(modus_ponens,[status(thm)],[15535, 15534])).
% 5.14/4.03 tff(15537,plain,
% 5.14/4.03 (~m_main_v_state1(s192, c_c1)),
% 5.14/4.03 inference(unit_resolution,[status(thm)],[15536, 539, 15500])).
% 5.14/4.03 tff(15538,plain,
% 5.14/4.03 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s190, c_n2) | (~m_main_v_state2(s191, c_n2)) | (~node13(s190, s191)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s190, c_n2) | (~m_main_v_state2(s191, c_n2)) | (~node13(s190, s191)))),
% 5.14/4.03 inference(rewrite,[status(thm)],[])).
% 5.14/4.03 tff(15539,plain,
% 5.14/4.03 (((~node13(s190, s191)) | m_main_v_state2(s190, c_n2) | (~m_main_v_state2(s191, c_n2))) <=> (m_main_v_state2(s190, c_n2) | (~m_main_v_state2(s191, c_n2)) | (~node13(s190, s191)))),
% 5.14/4.03 inference(rewrite,[status(thm)],[])).
% 5.14/4.03 tff(15540,plain,
% 5.14/4.03 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s190, s191)) | m_main_v_state2(s190, c_n2) | (~m_main_v_state2(s191, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s190, c_n2) | (~m_main_v_state2(s191, c_n2)) | (~node13(s190, s191))))),
% 5.14/4.03 inference(monotonicity,[status(thm)],[15539])).
% 5.14/4.03 tff(15541,plain,
% 5.14/4.03 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s190, s191)) | m_main_v_state2(s190, c_n2) | (~m_main_v_state2(s191, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s190, c_n2) | (~m_main_v_state2(s191, c_n2)) | (~node13(s190, s191)))),
% 5.14/4.03 inference(transitivity,[status(thm)],[15540, 15538])).
% 5.14/4.03 tff(15542,plain,
% 5.14/4.03 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s190, s191)) | m_main_v_state2(s190, c_n2) | (~m_main_v_state2(s191, c_n2)))),
% 5.14/4.03 inference(quant_inst,[status(thm)],[])).
% 5.14/4.03 tff(15543,plain,
% 5.14/4.03 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s190, c_n2) | (~m_main_v_state2(s191, c_n2)) | (~node13(s190, s191))),
% 5.14/4.03 inference(modus_ponens,[status(thm)],[15542, 15541])).
% 5.14/4.03 tff(15544,plain,
% 5.14/4.03 (~m_main_v_state2(s191, c_n2)),
% 5.14/4.03 inference(unit_resolution,[status(thm)],[15543, 311, 15385, 15477])).
% 5.14/4.03 tff(15545,plain,
% 5.14/4.03 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s191, c_n2) | (~node9(s191)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s191, c_n2) | (~node9(s191)))),
% 5.14/4.03 inference(rewrite,[status(thm)],[])).
% 5.14/4.03 tff(15546,plain,
% 5.14/4.03 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s191, c_n2) | (~node9(s191)))),
% 5.14/4.03 inference(quant_inst,[status(thm)],[])).
% 5.14/4.03 tff(15547,plain,
% 5.14/4.03 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s191, c_n2) | (~node9(s191))),
% 5.14/4.03 inference(modus_ponens,[status(thm)],[15546, 15545])).
% 5.14/4.03 tff(15548,plain,
% 5.14/4.03 (~node9(s191)),
% 5.14/4.03 inference(unit_resolution,[status(thm)],[15547, 88, 15544])).
% 5.14/4.03 tff(15549,plain,
% 5.14/4.03 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s191, c_n2) | (~node10(s191)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s191, c_n2) | (~node10(s191)))),
% 5.14/4.03 inference(rewrite,[status(thm)],[])).
% 5.14/4.03 tff(15550,plain,
% 5.14/4.03 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s191, c_n2) | (~node10(s191)))),
% 5.14/4.03 inference(quant_inst,[status(thm)],[])).
% 5.14/4.03 tff(15551,plain,
% 5.14/4.03 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s191, c_n2) | (~node10(s191))),
% 5.14/4.03 inference(modus_ponens,[status(thm)],[15550, 15549])).
% 5.14/4.03 tff(15552,plain,
% 5.14/4.03 (~node10(s191)),
% 5.14/4.03 inference(unit_resolution,[status(thm)],[15551, 249, 15544])).
% 5.14/4.03 tff(15553,plain,
% 5.14/4.03 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s191, c_n2) | (~node8(s191)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s191, c_n2) | (~node8(s191)))),
% 5.14/4.03 inference(rewrite,[status(thm)],[])).
% 5.14/4.03 tff(15554,plain,
% 5.14/4.03 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s191, c_n2) | (~node8(s191)))),
% 5.14/4.03 inference(quant_inst,[status(thm)],[])).
% 5.14/4.03 tff(15555,plain,
% 5.14/4.03 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s191, c_n2) | (~node8(s191))),
% 5.14/4.03 inference(modus_ponens,[status(thm)],[15554, 15553])).
% 5.14/4.03 tff(15556,plain,
% 5.14/4.03 (~node8(s191)),
% 5.14/4.03 inference(unit_resolution,[status(thm)],[15555, 271, 15544])).
% 5.14/4.03 tff(15557,plain,
% 5.14/4.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s191, s192)) | node14(s191, s192))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s191, s192)) | node14(s191, s192))),
% 5.14/4.03 inference(rewrite,[status(thm)],[])).
% 5.14/4.03 tff(15558,plain,
% 5.14/4.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s191, s192)) | node14(s191, s192))),
% 5.14/4.03 inference(quant_inst,[status(thm)],[])).
% 5.14/4.03 tff(15559,plain,
% 5.14/4.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s191, s192)) | node14(s191, s192)),
% 5.14/4.03 inference(modus_ponens,[status(thm)],[15558, 15557])).
% 5.14/4.03 tff(15560,plain,
% 5.14/4.03 (node14(s191, s192)),
% 5.14/4.03 inference(unit_resolution,[status(thm)],[15559, 46, 15491])).
% 5.14/4.03 tff(15561,plain,
% 5.14/4.03 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s191, c_n1)) | (~m_main_v_state2(s191, c_t2)) | node9(s191) | node8(s191) | node10(s191) | (~node14(s191, s192)) | m_main_v_state2(s192, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s191, c_n1)) | (~m_main_v_state2(s191, c_t2)) | node9(s191) | node8(s191) | node10(s191) | (~node14(s191, s192)) | m_main_v_state2(s192, c_c2))),
% 5.14/4.03 inference(rewrite,[status(thm)],[])).
% 5.14/4.03 tff(15562,plain,
% 5.14/4.03 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s191, c_n1)) | (~m_main_v_state2(s191, c_t2)) | node9(s191) | node8(s191) | node10(s191) | (~node14(s191, s192)) | m_main_v_state2(s192, c_c2))),
% 5.14/4.03 inference(quant_inst,[status(thm)],[])).
% 5.14/4.03 tff(15563,plain,
% 5.14/4.03 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s191, c_n1)) | (~m_main_v_state2(s191, c_t2)) | node9(s191) | node8(s191) | node10(s191) | (~node14(s191, s192)) | m_main_v_state2(s192, c_c2)),
% 5.14/4.03 inference(modus_ponens,[status(thm)],[15562, 15561])).
% 5.14/4.03 tff(15564,plain,
% 5.14/4.03 ((~m_main_v_state1(s191, c_n1)) | (~m_main_v_state2(s191, c_t2)) | node9(s191) | node8(s191) | node10(s191) | m_main_v_state2(s192, c_c2)),
% 5.14/4.03 inference(unit_resolution,[status(thm)],[15563, 617, 15560])).
% 5.14/4.03 tff(15565,plain,
% 5.14/4.03 (m_main_v_state2(s192, c_c2)),
% 5.14/4.03 inference(unit_resolution,[status(thm)],[15564, 15556, 15428, 15484, 15552, 15548])).
% 5.14/4.03 tff(15566,plain,
% 5.14/4.03 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s192, c_n2)) | (~m_main_v_state2(s192, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s192, c_n2)) | (~m_main_v_state2(s192, c_c2)))),
% 5.14/4.03 inference(rewrite,[status(thm)],[])).
% 5.14/4.03 tff(15567,plain,
% 5.14/4.03 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s192, c_n2)) | (~m_main_v_state2(s192, c_c2)))),
% 5.14/4.03 inference(quant_inst,[status(thm)],[])).
% 5.14/4.03 tff(15568,plain,
% 5.14/4.03 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s192, c_n2)) | (~m_main_v_state2(s192, c_c2))),
% 5.14/4.03 inference(modus_ponens,[status(thm)],[15567, 15566])).
% 5.14/4.03 tff(15569,plain,
% 5.14/4.03 (~m_main_v_state2(s192, c_n2)),
% 5.14/4.03 inference(unit_resolution,[status(thm)],[15568, 697, 15565])).
% 5.14/4.03 tff(15570,plain,
% 5.14/4.03 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s192, c_n2) | (~node4(s192)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s192, c_n2) | (~node4(s192)))),
% 5.14/4.03 inference(rewrite,[status(thm)],[])).
% 5.14/4.03 tff(15571,plain,
% 5.14/4.03 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s192, c_n2) | (~node4(s192)))),
% 5.14/4.03 inference(quant_inst,[status(thm)],[])).
% 5.14/4.03 tff(15572,plain,
% 5.14/4.03 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s192, c_n2) | (~node4(s192))),
% 5.14/4.03 inference(modus_ponens,[status(thm)],[15571, 15570])).
% 5.14/4.03 tff(15573,plain,
% 5.14/4.03 (~node4(s192)),
% 5.14/4.03 inference(unit_resolution,[status(thm)],[15572, 388, 15569])).
% 5.14/4.03 tff(15574,plain,
% 5.14/4.03 (succ(s192, s193) <=> succ(s192, s193)),
% 5.14/4.03 inference(rewrite,[status(thm)],[])).
% 5.14/4.03 tff(15575,axiom,(succ(s192, s193)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound193')).
% 5.14/4.03 tff(15576,plain,
% 5.14/4.03 (succ(s192, s193)),
% 5.14/4.03 inference(modus_ponens,[status(thm)],[15575, 15574])).
% 5.14/4.03 tff(15577,plain,
% 5.14/4.03 (((~![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))),
% 5.14/4.03 inference(rewrite,[status(thm)],[])).
% 5.14/4.03 tff(15578,plain,
% 5.14/4.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s192, s193)) | trans(s192, s193))),
% 5.14/4.03 inference(quant_inst,[status(thm)],[])).
% 5.14/4.03 tff(15579,plain,
% 5.14/4.03 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s192, s193)) | trans(s192, s193)),
% 5.14/4.03 inference(modus_ponens,[status(thm)],[15578, 15577])).
% 5.14/4.03 tff(15580,plain,
% 5.14/4.03 (trans(s192, s193)),
% 5.14/4.03 inference(unit_resolution,[status(thm)],[15579, 15576, 32])).
% 5.14/4.03 tff(15581,plain,
% 5.14/4.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s192, s193)) | node7(s192, s193))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s192, s193)) | node7(s192, s193))),
% 5.14/4.03 inference(rewrite,[status(thm)],[])).
% 5.14/4.03 tff(15582,plain,
% 5.14/4.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s192, s193)) | node7(s192, s193))),
% 5.14/4.03 inference(quant_inst,[status(thm)],[])).
% 5.14/4.03 tff(15583,plain,
% 5.14/4.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s192, s193)) | node7(s192, s193)),
% 5.14/4.03 inference(modus_ponens,[status(thm)],[15582, 15581])).
% 5.14/4.03 tff(15584,plain,
% 5.14/4.03 (node7(s192, s193)),
% 5.14/4.03 inference(unit_resolution,[status(thm)],[15583, 206, 15580])).
% 5.14/4.03 tff(15585,plain,
% 5.14/4.03 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s192, c_c1) | node1(s192) | node2(s192) | node3(s192) | node4(s192) | node5(s192) | node6(s192, s193) | (~node7(s192, s193)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s192, c_c1) | node1(s192) | node2(s192) | node3(s192) | node4(s192) | node5(s192) | node6(s192, s193) | (~node7(s192, s193)))),
% 5.14/4.03 inference(rewrite,[status(thm)],[])).
% 5.14/4.03 tff(15586,plain,
% 5.14/4.03 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s192, c_c1) | node1(s192) | node2(s192) | node3(s192) | node4(s192) | node5(s192) | node6(s192, s193) | (~node7(s192, s193)))),
% 5.14/4.03 inference(quant_inst,[status(thm)],[])).
% 5.14/4.03 tff(15587,plain,
% 5.14/4.03 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s192, c_c1) | node1(s192) | node2(s192) | node3(s192) | node4(s192) | node5(s192) | node6(s192, s193) | (~node7(s192, s193))),
% 5.14/4.03 inference(modus_ponens,[status(thm)],[15586, 15585])).
% 5.14/4.03 tff(15588,plain,
% 5.14/4.03 (m_main_v_state1(s192, c_c1) | node1(s192) | node2(s192) | node3(s192) | node4(s192) | node5(s192) | node6(s192, s193)),
% 5.14/4.03 inference(unit_resolution,[status(thm)],[15587, 820, 15584])).
% 5.14/4.03 tff(15589,plain,
% 5.14/4.03 (node6(s192, s193)),
% 5.14/4.03 inference(unit_resolution,[status(thm)],[15588, 15573, 15537, 15533, 15529, 15525, 15508])).
% 5.14/4.03 tff(15590,plain,
% 5.14/4.03 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s192, c_t1)) | m_main_v_state1(s193, c_t1) | (~node6(s192, s193)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s192, c_t1)) | m_main_v_state1(s193, c_t1) | (~node6(s192, s193)))),
% 5.14/4.03 inference(rewrite,[status(thm)],[])).
% 5.14/4.03 tff(15591,plain,
% 5.14/4.03 (((~node6(s192, s193)) | (~m_main_v_state1(s192, c_t1)) | m_main_v_state1(s193, c_t1)) <=> ((~m_main_v_state1(s192, c_t1)) | m_main_v_state1(s193, c_t1) | (~node6(s192, s193)))),
% 5.14/4.03 inference(rewrite,[status(thm)],[])).
% 5.14/4.03 tff(15592,plain,
% 5.14/4.03 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s192, s193)) | (~m_main_v_state1(s192, c_t1)) | m_main_v_state1(s193, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s192, c_t1)) | m_main_v_state1(s193, c_t1) | (~node6(s192, s193))))),
% 5.14/4.04 inference(monotonicity,[status(thm)],[15591])).
% 5.14/4.04 tff(15593,plain,
% 5.14/4.04 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s192, s193)) | (~m_main_v_state1(s192, c_t1)) | m_main_v_state1(s193, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s192, c_t1)) | m_main_v_state1(s193, c_t1) | (~node6(s192, s193)))),
% 5.14/4.04 inference(transitivity,[status(thm)],[15592, 15590])).
% 5.14/4.04 tff(15594,plain,
% 5.14/4.04 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s192, s193)) | (~m_main_v_state1(s192, c_t1)) | m_main_v_state1(s193, c_t1))),
% 5.14/4.04 inference(quant_inst,[status(thm)],[])).
% 5.14/4.04 tff(15595,plain,
% 5.14/4.04 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s192, c_t1)) | m_main_v_state1(s193, c_t1) | (~node6(s192, s193))),
% 5.14/4.04 inference(modus_ponens,[status(thm)],[15594, 15593])).
% 5.14/4.04 tff(15596,plain,
% 5.14/4.04 (m_main_v_state1(s193, c_t1)),
% 5.14/4.04 inference(unit_resolution,[status(thm)],[15595, 856, 15500, 15589])).
% 5.14/4.04 tff(15597,plain,
% 5.14/4.04 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s192, c_t2)) | (~m_main_v_state2(s192, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s192, c_t2)) | (~m_main_v_state2(s192, c_c2)))),
% 5.14/4.04 inference(rewrite,[status(thm)],[])).
% 5.14/4.04 tff(15598,plain,
% 5.14/4.04 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s192, c_t2)) | (~m_main_v_state2(s192, c_c2)))),
% 5.14/4.04 inference(quant_inst,[status(thm)],[])).
% 5.14/4.04 tff(15599,plain,
% 5.14/4.04 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s192, c_t2)) | (~m_main_v_state2(s192, c_c2))),
% 5.14/4.04 inference(modus_ponens,[status(thm)],[15598, 15597])).
% 5.14/4.04 tff(15600,plain,
% 5.14/4.04 (~m_main_v_state2(s192, c_t2)),
% 5.14/4.04 inference(unit_resolution,[status(thm)],[15599, 260, 15565])).
% 5.14/4.04 tff(15601,plain,
% 5.14/4.04 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s192, c_t2) | (~node12(s192)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s192, c_t2) | (~node12(s192)))),
% 5.14/4.04 inference(rewrite,[status(thm)],[])).
% 5.14/4.04 tff(15602,plain,
% 5.14/4.04 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s192, c_t2) | (~node12(s192)))),
% 5.14/4.04 inference(quant_inst,[status(thm)],[])).
% 5.14/4.04 tff(15603,plain,
% 5.14/4.04 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s192, c_t2) | (~node12(s192))),
% 5.14/4.04 inference(modus_ponens,[status(thm)],[15602, 15601])).
% 5.14/4.04 tff(15604,plain,
% 5.14/4.04 (~node12(s192)),
% 5.14/4.04 inference(unit_resolution,[status(thm)],[15603, 633, 15600])).
% 5.14/4.04 tff(15605,plain,
% 5.14/4.04 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s192, c_n1) | (~node11(s192)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s192, c_n1) | (~node11(s192)))),
% 5.14/4.04 inference(rewrite,[status(thm)],[])).
% 5.14/4.04 tff(15606,plain,
% 5.14/4.04 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s192, c_n1) | (~node11(s192)))),
% 5.14/4.04 inference(quant_inst,[status(thm)],[])).
% 5.14/4.04 tff(15607,plain,
% 5.14/4.04 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s192, c_n1) | (~node11(s192))),
% 5.14/4.04 inference(modus_ponens,[status(thm)],[15606, 15605])).
% 5.14/4.04 tff(15608,plain,
% 5.14/4.04 (~node11(s192)),
% 5.14/4.04 inference(unit_resolution,[status(thm)],[15607, 238, 15504])).
% 5.14/4.04 tff(15609,plain,
% 5.14/4.04 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s192, c_c1) | (~node10(s192)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s192, c_c1) | (~node10(s192)))),
% 5.14/4.04 inference(rewrite,[status(thm)],[])).
% 5.14/4.04 tff(15610,plain,
% 5.14/4.04 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s192, c_c1) | (~node10(s192)))),
% 5.14/4.04 inference(quant_inst,[status(thm)],[])).
% 5.14/4.04 tff(15611,plain,
% 5.14/4.04 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s192, c_c1) | (~node10(s192))),
% 5.14/4.04 inference(modus_ponens,[status(thm)],[15610, 15609])).
% 5.14/4.04 tff(15612,plain,
% 5.14/4.04 (~node10(s192)),
% 5.14/4.04 inference(unit_resolution,[status(thm)],[15611, 675, 15537])).
% 5.14/4.04 tff(15613,plain,
% 5.14/4.04 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s192, c_n1) | (~node9(s192)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s192, c_n1) | (~node9(s192)))),
% 5.14/4.04 inference(rewrite,[status(thm)],[])).
% 5.14/4.04 tff(15614,plain,
% 5.14/4.04 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s192, c_n1) | (~node9(s192)))),
% 5.14/4.04 inference(quant_inst,[status(thm)],[])).
% 5.14/4.04 tff(15615,plain,
% 5.14/4.04 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s192, c_n1) | (~node9(s192))),
% 5.14/4.04 inference(modus_ponens,[status(thm)],[15614, 15613])).
% 5.14/4.04 tff(15616,plain,
% 5.14/4.04 (~node9(s192)),
% 5.14/4.04 inference(unit_resolution,[status(thm)],[15615, 686, 15504])).
% 5.14/4.04 tff(15617,plain,
% 5.14/4.04 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s192, c_n2) | (~node8(s192)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s192, c_n2) | (~node8(s192)))),
% 5.14/4.04 inference(rewrite,[status(thm)],[])).
% 5.14/4.04 tff(15618,plain,
% 5.14/4.04 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s192, c_n2) | (~node8(s192)))),
% 5.14/4.04 inference(quant_inst,[status(thm)],[])).
% 5.14/4.04 tff(15619,plain,
% 5.14/4.04 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s192, c_n2) | (~node8(s192))),
% 5.14/4.04 inference(modus_ponens,[status(thm)],[15618, 15617])).
% 5.14/4.04 tff(15620,plain,
% 5.14/4.04 (~node8(s192)),
% 5.14/4.04 inference(unit_resolution,[status(thm)],[15619, 271, 15569])).
% 5.14/4.04 tff(15621,plain,
% 5.14/4.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s192, s193)) | node14(s192, s193))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s192, s193)) | node14(s192, s193))),
% 5.14/4.04 inference(rewrite,[status(thm)],[])).
% 5.14/4.04 tff(15622,plain,
% 5.14/4.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s192, s193)) | node14(s192, s193))),
% 5.14/4.04 inference(quant_inst,[status(thm)],[])).
% 5.14/4.04 tff(15623,plain,
% 5.14/4.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s192, s193)) | node14(s192, s193)),
% 5.14/4.04 inference(modus_ponens,[status(thm)],[15622, 15621])).
% 5.14/4.04 tff(15624,plain,
% 5.14/4.04 (node14(s192, s193)),
% 5.14/4.04 inference(unit_resolution,[status(thm)],[15623, 46, 15580])).
% 5.14/4.04 tff(15625,plain,
% 5.14/4.04 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s193, c_n2) | node9(s192) | node8(s192) | node10(s192) | node11(s192) | node12(s192) | (~node14(s192, s193)) | (~m_main_v_state2(s192, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s193, c_n2) | node9(s192) | node8(s192) | node10(s192) | node11(s192) | node12(s192) | (~node14(s192, s193)) | (~m_main_v_state2(s192, c_c2)))),
% 5.14/4.04 inference(rewrite,[status(thm)],[])).
% 5.14/4.04 tff(15626,plain,
% 5.14/4.04 (((~m_main_v_state2(s192, c_c2)) | node9(s192) | node8(s192) | node10(s192) | node11(s192) | node12(s192) | (~node14(s192, s193)) | m_main_v_state2(s193, c_n2)) <=> (m_main_v_state2(s193, c_n2) | node9(s192) | node8(s192) | node10(s192) | node11(s192) | node12(s192) | (~node14(s192, s193)) | (~m_main_v_state2(s192, c_c2)))),
% 5.14/4.04 inference(rewrite,[status(thm)],[])).
% 5.14/4.04 tff(15627,plain,
% 5.14/4.04 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s192, c_c2)) | node9(s192) | node8(s192) | node10(s192) | node11(s192) | node12(s192) | (~node14(s192, s193)) | m_main_v_state2(s193, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s193, c_n2) | node9(s192) | node8(s192) | node10(s192) | node11(s192) | node12(s192) | (~node14(s192, s193)) | (~m_main_v_state2(s192, c_c2))))),
% 5.14/4.04 inference(monotonicity,[status(thm)],[15626])).
% 5.14/4.04 tff(15628,plain,
% 5.14/4.04 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s192, c_c2)) | node9(s192) | node8(s192) | node10(s192) | node11(s192) | node12(s192) | (~node14(s192, s193)) | m_main_v_state2(s193, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s193, c_n2) | node9(s192) | node8(s192) | node10(s192) | node11(s192) | node12(s192) | (~node14(s192, s193)) | (~m_main_v_state2(s192, c_c2)))),
% 5.14/4.04 inference(transitivity,[status(thm)],[15627, 15625])).
% 5.14/4.04 tff(15629,plain,
% 5.14/4.04 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s192, c_c2)) | node9(s192) | node8(s192) | node10(s192) | node11(s192) | node12(s192) | (~node14(s192, s193)) | m_main_v_state2(s193, c_n2))),
% 5.14/4.04 inference(quant_inst,[status(thm)],[])).
% 5.14/4.04 tff(15630,plain,
% 5.14/4.04 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s193, c_n2) | node9(s192) | node8(s192) | node10(s192) | node11(s192) | node12(s192) | (~node14(s192, s193)) | (~m_main_v_state2(s192, c_c2))),
% 5.14/4.04 inference(modus_ponens,[status(thm)],[15629, 15628])).
% 5.14/4.04 tff(15631,plain,
% 5.14/4.04 (m_main_v_state2(s193, c_n2) | node9(s192) | node8(s192) | node10(s192) | node11(s192) | node12(s192) | (~m_main_v_state2(s192, c_c2))),
% 5.14/4.04 inference(unit_resolution,[status(thm)],[15630, 726, 15624])).
% 5.14/4.04 tff(15632,plain,
% 5.14/4.04 (m_main_v_state2(s193, c_n2)),
% 5.14/4.04 inference(unit_resolution,[status(thm)],[15631, 15620, 15565, 15616, 15612, 15608, 15604])).
% 5.20/4.04 tff(15633,plain,
% 5.20/4.04 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s193, c_n2)) | (~m_main_v_state2(s193, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s193, c_n2)) | (~m_main_v_state2(s193, c_t2)))),
% 5.20/4.04 inference(rewrite,[status(thm)],[])).
% 5.20/4.04 tff(15634,plain,
% 5.20/4.04 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s193, c_n2)) | (~m_main_v_state2(s193, c_t2)))),
% 5.20/4.04 inference(quant_inst,[status(thm)],[])).
% 5.20/4.04 tff(15635,plain,
% 5.20/4.04 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s193, c_n2)) | (~m_main_v_state2(s193, c_t2))),
% 5.20/4.04 inference(modus_ponens,[status(thm)],[15634, 15633])).
% 5.20/4.04 tff(15636,plain,
% 5.20/4.04 (~m_main_v_state2(s193, c_t2)),
% 5.20/4.04 inference(unit_resolution,[status(thm)],[15635, 77, 15632])).
% 5.20/4.04 tff(15637,plain,
% 5.20/4.04 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s193, c_t2) | (~node15(s193)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s193, c_t2) | (~node15(s193)))),
% 5.20/4.04 inference(rewrite,[status(thm)],[])).
% 5.20/4.04 tff(15638,plain,
% 5.20/4.04 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s193, c_t2) | (~node15(s193)))),
% 5.20/4.04 inference(quant_inst,[status(thm)],[])).
% 5.20/4.04 tff(15639,plain,
% 5.20/4.04 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s193, c_t2) | (~node15(s193))),
% 5.20/4.04 inference(modus_ponens,[status(thm)],[15638, 15637])).
% 5.20/4.04 tff(15640,plain,
% 5.20/4.04 (~node15(s193)),
% 5.20/4.04 inference(unit_resolution,[status(thm)],[15639, 103, 15636])).
% 5.20/4.04 tff(15641,plain,
% 5.20/4.04 (succ(s193, s194) <=> succ(s193, s194)),
% 5.20/4.04 inference(rewrite,[status(thm)],[])).
% 5.20/4.04 tff(15642,axiom,(succ(s193, s194)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound194')).
% 5.20/4.04 tff(15643,plain,
% 5.20/4.04 (succ(s193, s194)),
% 5.20/4.04 inference(modus_ponens,[status(thm)],[15642, 15641])).
% 5.20/4.04 tff(15644,plain,
% 5.20/4.04 (((~![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))),
% 5.20/4.04 inference(rewrite,[status(thm)],[])).
% 5.20/4.04 tff(15645,plain,
% 5.20/4.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s193, s194)) | trans(s193, s194))),
% 5.20/4.04 inference(quant_inst,[status(thm)],[])).
% 5.20/4.04 tff(15646,plain,
% 5.20/4.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s193, s194)) | trans(s193, s194)),
% 5.20/4.04 inference(modus_ponens,[status(thm)],[15645, 15644])).
% 5.20/4.04 tff(15647,plain,
% 5.20/4.04 (trans(s193, s194)),
% 5.20/4.04 inference(unit_resolution,[status(thm)],[15646, 15643, 32])).
% 5.20/4.04 tff(15648,plain,
% 5.20/4.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s193, s194)) | node18(s193, s194))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s193, s194)) | node18(s193, s194))),
% 5.20/4.04 inference(rewrite,[status(thm)],[])).
% 5.20/4.04 tff(15649,plain,
% 5.20/4.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s193, s194)) | node18(s193, s194))),
% 5.20/4.04 inference(quant_inst,[status(thm)],[])).
% 5.20/4.04 tff(15650,plain,
% 5.20/4.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s193, s194)) | node18(s193, s194)),
% 5.20/4.04 inference(modus_ponens,[status(thm)],[15649, 15648])).
% 5.20/4.04 tff(15651,plain,
% 5.20/4.04 (node18(s193, s194)),
% 5.20/4.04 inference(unit_resolution,[status(thm)],[15650, 125, 15647])).
% 5.20/4.04 tff(15652,plain,
% 5.20/4.04 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s193) | (~node18(s193, s194)) | (~m_main_v_state1(s193, c_t1)) | (~m_main_v_state2(s193, c_n2)) | m_main_v_turn(s194, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s193) | (~node18(s193, s194)) | (~m_main_v_state1(s193, c_t1)) | (~m_main_v_state2(s193, c_n2)) | m_main_v_turn(s194, c_1))),
% 5.20/4.04 inference(rewrite,[status(thm)],[])).
% 5.20/4.04 tff(15653,plain,
% 5.20/4.04 (((~m_main_v_state1(s193, c_t1)) | (~m_main_v_state2(s193, c_n2)) | node15(s193) | (~node18(s193, s194)) | m_main_v_turn(s194, c_1)) <=> (node15(s193) | (~node18(s193, s194)) | (~m_main_v_state1(s193, c_t1)) | (~m_main_v_state2(s193, c_n2)) | m_main_v_turn(s194, c_1))),
% 5.20/4.04 inference(rewrite,[status(thm)],[])).
% 5.20/4.04 tff(15654,plain,
% 5.20/4.04 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s193, c_t1)) | (~m_main_v_state2(s193, c_n2)) | node15(s193) | (~node18(s193, s194)) | m_main_v_turn(s194, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s193) | (~node18(s193, s194)) | (~m_main_v_state1(s193, c_t1)) | (~m_main_v_state2(s193, c_n2)) | m_main_v_turn(s194, c_1)))),
% 5.20/4.04 inference(monotonicity,[status(thm)],[15653])).
% 5.20/4.04 tff(15655,plain,
% 5.20/4.04 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s193, c_t1)) | (~m_main_v_state2(s193, c_n2)) | node15(s193) | (~node18(s193, s194)) | m_main_v_turn(s194, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s193) | (~node18(s193, s194)) | (~m_main_v_state1(s193, c_t1)) | (~m_main_v_state2(s193, c_n2)) | m_main_v_turn(s194, c_1))),
% 5.20/4.04 inference(transitivity,[status(thm)],[15654, 15652])).
% 5.20/4.04 tff(15656,plain,
% 5.20/4.04 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s193, c_t1)) | (~m_main_v_state2(s193, c_n2)) | node15(s193) | (~node18(s193, s194)) | m_main_v_turn(s194, c_1))),
% 5.20/4.04 inference(quant_inst,[status(thm)],[])).
% 5.20/4.04 tff(15657,plain,
% 5.20/4.04 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s193) | (~node18(s193, s194)) | (~m_main_v_state1(s193, c_t1)) | (~m_main_v_state2(s193, c_n2)) | m_main_v_turn(s194, c_1)),
% 5.20/4.04 inference(modus_ponens,[status(thm)],[15656, 15655])).
% 5.20/4.04 tff(15658,plain,
% 5.20/4.04 (node15(s193) | (~m_main_v_state1(s193, c_t1)) | (~m_main_v_state2(s193, c_n2)) | m_main_v_turn(s194, c_1)),
% 5.20/4.04 inference(unit_resolution,[status(thm)],[15657, 992, 15651])).
% 5.20/4.04 tff(15659,plain,
% 5.20/4.04 (m_main_v_turn(s194, c_1)),
% 5.20/4.04 inference(unit_resolution,[status(thm)],[15658, 15640, 15632, 15596])).
% 5.20/4.04 tff(15660,plain,
% 5.20/4.04 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s194, c_1)) | (~m_main_v_turn(s194, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s194, c_1)) | (~m_main_v_turn(s194, c_2)))),
% 5.20/4.04 inference(rewrite,[status(thm)],[])).
% 5.20/4.04 tff(15661,plain,
% 5.20/4.04 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s194, c_1)) | (~m_main_v_turn(s194, c_2)))),
% 5.20/4.04 inference(quant_inst,[status(thm)],[])).
% 5.20/4.04 tff(15662,plain,
% 5.20/4.04 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s194, c_1)) | (~m_main_v_turn(s194, c_2))),
% 5.20/4.04 inference(modus_ponens,[status(thm)],[15661, 15660])).
% 5.20/4.04 tff(15663,plain,
% 5.20/4.04 (~m_main_v_turn(s194, c_2)),
% 5.20/4.04 inference(unit_resolution,[status(thm)],[15662, 156, 15659])).
% 5.20/4.04 tff(15664,plain,
% 5.20/4.04 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s194, c_2) | (~node12(s194)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s194, c_2) | (~node12(s194)))),
% 5.20/4.04 inference(rewrite,[status(thm)],[])).
% 5.20/4.04 tff(15665,plain,
% 5.20/4.04 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s194, c_2) | (~node12(s194)))),
% 5.20/4.04 inference(quant_inst,[status(thm)],[])).
% 5.20/4.04 tff(15666,plain,
% 5.20/4.04 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s194, c_2) | (~node12(s194))),
% 5.20/4.04 inference(modus_ponens,[status(thm)],[15665, 15664])).
% 5.20/4.04 tff(15667,plain,
% 5.20/4.04 (~node12(s194)),
% 5.20/4.04 inference(unit_resolution,[status(thm)],[15666, 184, 15663])).
% 5.20/4.04 tff(15668,plain,
% 5.20/4.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s193, s194)) | node14(s193, s194))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s193, s194)) | node14(s193, s194))),
% 5.20/4.04 inference(rewrite,[status(thm)],[])).
% 5.20/4.04 tff(15669,plain,
% 5.20/4.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s193, s194)) | node14(s193, s194))),
% 5.20/4.04 inference(quant_inst,[status(thm)],[])).
% 5.20/4.04 tff(15670,plain,
% 5.20/4.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s193, s194)) | node14(s193, s194)),
% 5.20/4.04 inference(modus_ponens,[status(thm)],[15669, 15668])).
% 5.20/4.04 tff(15671,plain,
% 5.20/4.04 (node14(s193, s194)),
% 5.20/4.04 inference(unit_resolution,[status(thm)],[15670, 46, 15647])).
% 5.20/4.04 tff(15672,plain,
% 5.20/4.04 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s193, c_t1)) | (~m_main_v_state2(s193, c_n2)) | (~node14(s193, s194)) | m_main_v_state2(s194, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s193, c_t1)) | (~m_main_v_state2(s193, c_n2)) | (~node14(s193, s194)) | m_main_v_state2(s194, c_t2))),
% 5.20/4.04 inference(rewrite,[status(thm)],[])).
% 5.20/4.04 tff(15673,plain,
% 5.20/4.04 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s193, c_t1)) | (~m_main_v_state2(s193, c_n2)) | (~node14(s193, s194)) | m_main_v_state2(s194, c_t2))),
% 5.20/4.04 inference(quant_inst,[status(thm)],[])).
% 5.20/4.04 tff(15674,plain,
% 5.20/4.04 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s193, c_t1)) | (~m_main_v_state2(s193, c_n2)) | (~node14(s193, s194)) | m_main_v_state2(s194, c_t2)),
% 5.20/4.04 inference(modus_ponens,[status(thm)],[15673, 15672])).
% 5.20/4.04 tff(15675,plain,
% 5.20/4.04 ((~m_main_v_state1(s193, c_t1)) | (~m_main_v_state2(s193, c_n2)) | m_main_v_state2(s194, c_t2)),
% 5.20/4.04 inference(unit_resolution,[status(thm)],[15674, 922, 15671])).
% 5.20/4.04 tff(15676,plain,
% 5.20/4.04 (m_main_v_state2(s194, c_t2)),
% 5.20/4.04 inference(unit_resolution,[status(thm)],[15675, 15596, 15632])).
% 5.20/4.04 tff(15677,plain,
% 5.20/4.04 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s194, c_n2)) | (~m_main_v_state2(s194, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s194, c_n2)) | (~m_main_v_state2(s194, c_t2)))),
% 5.20/4.04 inference(rewrite,[status(thm)],[])).
% 5.20/4.04 tff(15678,plain,
% 5.20/4.04 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s194, c_n2)) | (~m_main_v_state2(s194, c_t2)))),
% 5.20/4.04 inference(quant_inst,[status(thm)],[])).
% 5.20/4.04 tff(15679,plain,
% 5.20/4.04 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s194, c_n2)) | (~m_main_v_state2(s194, c_t2))),
% 5.20/4.04 inference(modus_ponens,[status(thm)],[15678, 15677])).
% 5.20/4.04 tff(15680,plain,
% 5.20/4.04 (~m_main_v_state2(s194, c_n2)),
% 5.20/4.04 inference(unit_resolution,[status(thm)],[15679, 77, 15676])).
% 5.20/4.04 tff(15681,plain,
% 5.20/4.04 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s194, c_n2) | (~node8(s194)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s194, c_n2) | (~node8(s194)))),
% 5.20/4.04 inference(rewrite,[status(thm)],[])).
% 5.20/4.04 tff(15682,plain,
% 5.20/4.04 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s194, c_n2) | (~node8(s194)))),
% 5.20/4.04 inference(quant_inst,[status(thm)],[])).
% 5.20/4.04 tff(15683,plain,
% 5.20/4.04 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s194, c_n2) | (~node8(s194))),
% 5.20/4.04 inference(modus_ponens,[status(thm)],[15682, 15681])).
% 5.20/4.04 tff(15684,plain,
% 5.20/4.04 (~node8(s194)),
% 5.20/4.04 inference(unit_resolution,[status(thm)],[15683, 271, 15680])).
% 5.20/4.04 tff(15685,plain,
% 5.20/4.04 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s194, c_n2) | (~node9(s194)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s194, c_n2) | (~node9(s194)))),
% 5.20/4.04 inference(rewrite,[status(thm)],[])).
% 5.20/4.04 tff(15686,plain,
% 5.20/4.04 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s194, c_n2) | (~node9(s194)))),
% 5.20/4.04 inference(quant_inst,[status(thm)],[])).
% 5.20/4.04 tff(15687,plain,
% 5.20/4.04 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s194, c_n2) | (~node9(s194))),
% 5.20/4.04 inference(modus_ponens,[status(thm)],[15686, 15685])).
% 5.20/4.04 tff(15688,plain,
% 5.20/4.04 (~node9(s194)),
% 5.20/4.04 inference(unit_resolution,[status(thm)],[15687, 88, 15680])).
% 5.20/4.04 tff(15689,plain,
% 5.20/4.04 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s194, c_n2) | (~node10(s194)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s194, c_n2) | (~node10(s194)))),
% 5.20/4.04 inference(rewrite,[status(thm)],[])).
% 5.20/4.04 tff(15690,plain,
% 5.20/4.04 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s194, c_n2) | (~node10(s194)))),
% 5.20/4.04 inference(quant_inst,[status(thm)],[])).
% 5.20/4.04 tff(15691,plain,
% 5.20/4.04 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s194, c_n2) | (~node10(s194))),
% 5.20/4.04 inference(modus_ponens,[status(thm)],[15690, 15689])).
% 5.20/4.04 tff(15692,plain,
% 5.20/4.04 (~node10(s194)),
% 5.20/4.04 inference(unit_resolution,[status(thm)],[15691, 249, 15680])).
% 5.20/4.04 tff(15693,plain,
% 5.20/4.04 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s194, c_t2)) | (~m_main_v_state2(s194, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s194, c_t2)) | (~m_main_v_state2(s194, c_c2)))),
% 5.20/4.04 inference(rewrite,[status(thm)],[])).
% 5.20/4.04 tff(15694,plain,
% 5.20/4.04 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s194, c_t2)) | (~m_main_v_state2(s194, c_c2)))),
% 5.20/4.04 inference(quant_inst,[status(thm)],[])).
% 5.20/4.04 tff(15695,plain,
% 5.20/4.04 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s194, c_t2)) | (~m_main_v_state2(s194, c_c2))),
% 5.20/4.04 inference(modus_ponens,[status(thm)],[15694, 15693])).
% 5.20/4.04 tff(15696,plain,
% 5.20/4.04 (~m_main_v_state2(s194, c_c2)),
% 5.20/4.04 inference(unit_resolution,[status(thm)],[15695, 260, 15676])).
% 5.20/4.04 tff(15697,plain,
% 5.20/4.04 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s193, c_n2)) | (~m_main_v_state2(s193, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s193, c_n2)) | (~m_main_v_state2(s193, c_c2)))),
% 5.20/4.04 inference(rewrite,[status(thm)],[])).
% 5.20/4.04 tff(15698,plain,
% 5.20/4.04 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s193, c_n2)) | (~m_main_v_state2(s193, c_c2)))),
% 5.20/4.04 inference(quant_inst,[status(thm)],[])).
% 5.20/4.04 tff(15699,plain,
% 5.20/4.04 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s193, c_n2)) | (~m_main_v_state2(s193, c_c2))),
% 5.20/4.04 inference(modus_ponens,[status(thm)],[15698, 15697])).
% 5.20/4.04 tff(15700,plain,
% 5.20/4.04 (~m_main_v_state2(s193, c_c2)),
% 5.20/4.04 inference(unit_resolution,[status(thm)],[15699, 697, 15632])).
% 5.20/4.04 tff(15701,plain,
% 5.20/4.04 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s193, c_c2) | (~node3(s193)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s193, c_c2) | (~node3(s193)))),
% 5.20/4.04 inference(rewrite,[status(thm)],[])).
% 5.20/4.04 tff(15702,plain,
% 5.20/4.04 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s193, c_c2) | (~node3(s193)))),
% 5.20/4.04 inference(quant_inst,[status(thm)],[])).
% 5.20/4.04 tff(15703,plain,
% 5.20/4.04 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s193, c_c2) | (~node3(s193))),
% 5.20/4.04 inference(modus_ponens,[status(thm)],[15702, 15701])).
% 5.20/4.04 tff(15704,plain,
% 5.20/4.04 (~node3(s193)),
% 5.20/4.04 inference(unit_resolution,[status(thm)],[15703, 399, 15700])).
% 5.20/4.04 tff(15705,plain,
% 5.20/4.04 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s192, c_n1) | (~m_main_v_state1(s193, c_n1)) | (~node6(s192, s193)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s192, c_n1) | (~m_main_v_state1(s193, c_n1)) | (~node6(s192, s193)))),
% 5.20/4.04 inference(rewrite,[status(thm)],[])).
% 5.20/4.04 tff(15706,plain,
% 5.20/4.04 (((~node6(s192, s193)) | m_main_v_state1(s192, c_n1) | (~m_main_v_state1(s193, c_n1))) <=> (m_main_v_state1(s192, c_n1) | (~m_main_v_state1(s193, c_n1)) | (~node6(s192, s193)))),
% 5.20/4.04 inference(rewrite,[status(thm)],[])).
% 5.20/4.04 tff(15707,plain,
% 5.20/4.04 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s192, s193)) | m_main_v_state1(s192, c_n1) | (~m_main_v_state1(s193, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s192, c_n1) | (~m_main_v_state1(s193, c_n1)) | (~node6(s192, s193))))),
% 5.20/4.04 inference(monotonicity,[status(thm)],[15706])).
% 5.20/4.04 tff(15708,plain,
% 5.20/4.04 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s192, s193)) | m_main_v_state1(s192, c_n1) | (~m_main_v_state1(s193, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s192, c_n1) | (~m_main_v_state1(s193, c_n1)) | (~node6(s192, s193)))),
% 5.20/4.04 inference(transitivity,[status(thm)],[15707, 15705])).
% 5.20/4.04 tff(15709,plain,
% 5.20/4.04 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s192, s193)) | m_main_v_state1(s192, c_n1) | (~m_main_v_state1(s193, c_n1)))),
% 5.20/4.04 inference(quant_inst,[status(thm)],[])).
% 5.20/4.04 tff(15710,plain,
% 5.20/4.04 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s192, c_n1) | (~m_main_v_state1(s193, c_n1)) | (~node6(s192, s193))),
% 5.20/4.04 inference(modus_ponens,[status(thm)],[15709, 15708])).
% 5.20/4.04 tff(15711,plain,
% 5.20/4.04 (~m_main_v_state1(s193, c_n1)),
% 5.20/4.04 inference(unit_resolution,[status(thm)],[15710, 835, 15504, 15589])).
% 5.20/4.04 tff(15712,plain,
% 5.20/4.04 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s193, c_n1) | (~node2(s193)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s193, c_n1) | (~node2(s193)))),
% 5.20/4.04 inference(rewrite,[status(thm)],[])).
% 5.20/4.04 tff(15713,plain,
% 5.20/4.04 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s193, c_n1) | (~node2(s193)))),
% 5.20/4.04 inference(quant_inst,[status(thm)],[])).
% 5.20/4.04 tff(15714,plain,
% 5.20/4.04 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s193, c_n1) | (~node2(s193))),
% 5.20/4.04 inference(modus_ponens,[status(thm)],[15713, 15712])).
% 5.20/4.04 tff(15715,plain,
% 5.20/4.04 (~node2(s193)),
% 5.20/4.04 inference(unit_resolution,[status(thm)],[15714, 787, 15711])).
% 5.20/4.04 tff(15716,plain,
% 5.20/4.04 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s193, c_t2) | (~node1(s193)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s193, c_t2) | (~node1(s193)))),
% 5.20/4.04 inference(rewrite,[status(thm)],[])).
% 5.20/4.04 tff(15717,plain,
% 5.20/4.04 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s193, c_t2) | (~node1(s193)))),
% 5.20/4.05 inference(quant_inst,[status(thm)],[])).
% 5.20/4.05 tff(15718,plain,
% 5.20/4.05 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s193, c_t2) | (~node1(s193))),
% 5.20/4.05 inference(modus_ponens,[status(thm)],[15717, 15716])).
% 5.20/4.05 tff(15719,plain,
% 5.20/4.05 (~node1(s193)),
% 5.20/4.05 inference(unit_resolution,[status(thm)],[15718, 195, 15636])).
% 5.20/4.05 tff(15720,plain,
% 5.20/4.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s193, s194)) | node7(s193, s194))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s193, s194)) | node7(s193, s194))),
% 5.20/4.05 inference(rewrite,[status(thm)],[])).
% 5.20/4.05 tff(15721,plain,
% 5.20/4.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s193, s194)) | node7(s193, s194))),
% 5.20/4.05 inference(quant_inst,[status(thm)],[])).
% 5.20/4.05 tff(15722,plain,
% 5.20/4.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s193, s194)) | node7(s193, s194)),
% 5.20/4.05 inference(modus_ponens,[status(thm)],[15721, 15720])).
% 5.20/4.05 tff(15723,plain,
% 5.20/4.05 (node7(s193, s194)),
% 5.20/4.05 inference(unit_resolution,[status(thm)],[15722, 206, 15647])).
% 5.20/4.05 tff(15724,plain,
% 5.20/4.05 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s193, c_t1)) | (~m_main_v_state2(s193, c_n2)) | m_main_v_state1(s194, c_c1) | node1(s193) | node2(s193) | node3(s193) | (~node7(s193, s194)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s193, c_t1)) | (~m_main_v_state2(s193, c_n2)) | m_main_v_state1(s194, c_c1) | node1(s193) | node2(s193) | node3(s193) | (~node7(s193, s194)))),
% 5.20/4.05 inference(rewrite,[status(thm)],[])).
% 5.20/4.05 tff(15725,plain,
% 5.20/4.05 (((~m_main_v_state1(s193, c_t1)) | (~m_main_v_state2(s193, c_n2)) | node1(s193) | node2(s193) | node3(s193) | (~node7(s193, s194)) | m_main_v_state1(s194, c_c1)) <=> ((~m_main_v_state1(s193, c_t1)) | (~m_main_v_state2(s193, c_n2)) | m_main_v_state1(s194, c_c1) | node1(s193) | node2(s193) | node3(s193) | (~node7(s193, s194)))),
% 5.20/4.05 inference(rewrite,[status(thm)],[])).
% 5.20/4.05 tff(15726,plain,
% 5.20/4.05 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s193, c_t1)) | (~m_main_v_state2(s193, c_n2)) | node1(s193) | node2(s193) | node3(s193) | (~node7(s193, s194)) | m_main_v_state1(s194, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s193, c_t1)) | (~m_main_v_state2(s193, c_n2)) | m_main_v_state1(s194, c_c1) | node1(s193) | node2(s193) | node3(s193) | (~node7(s193, s194))))),
% 5.20/4.05 inference(monotonicity,[status(thm)],[15725])).
% 5.20/4.05 tff(15727,plain,
% 5.20/4.05 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s193, c_t1)) | (~m_main_v_state2(s193, c_n2)) | node1(s193) | node2(s193) | node3(s193) | (~node7(s193, s194)) | m_main_v_state1(s194, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s193, c_t1)) | (~m_main_v_state2(s193, c_n2)) | m_main_v_state1(s194, c_c1) | node1(s193) | node2(s193) | node3(s193) | (~node7(s193, s194)))),
% 5.20/4.05 inference(transitivity,[status(thm)],[15726, 15724])).
% 5.20/4.05 tff(15728,plain,
% 5.20/4.05 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s193, c_t1)) | (~m_main_v_state2(s193, c_n2)) | node1(s193) | node2(s193) | node3(s193) | (~node7(s193, s194)) | m_main_v_state1(s194, c_c1))),
% 5.20/4.05 inference(quant_inst,[status(thm)],[])).
% 5.20/4.05 tff(15729,plain,
% 5.20/4.05 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s193, c_t1)) | (~m_main_v_state2(s193, c_n2)) | m_main_v_state1(s194, c_c1) | node1(s193) | node2(s193) | node3(s193) | (~node7(s193, s194))),
% 5.20/4.05 inference(modus_ponens,[status(thm)],[15728, 15727])).
% 5.20/4.05 tff(15730,plain,
% 5.20/4.05 ((~m_main_v_state1(s193, c_t1)) | (~m_main_v_state2(s193, c_n2)) | m_main_v_state1(s194, c_c1) | node1(s193) | node2(s193) | node3(s193)),
% 5.20/4.05 inference(unit_resolution,[status(thm)],[15729, 892, 15723])).
% 5.20/4.05 tff(15731,plain,
% 5.20/4.05 (m_main_v_state1(s194, c_c1)),
% 5.20/4.05 inference(unit_resolution,[status(thm)],[15730, 15719, 15632, 15596, 15715, 15704])).
% 5.20/4.05 tff(15732,plain,
% 5.20/4.05 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s194, c_n1)) | (~m_main_v_state1(s194, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s194, c_n1)) | (~m_main_v_state1(s194, c_c1)))),
% 5.20/4.05 inference(rewrite,[status(thm)],[])).
% 5.20/4.05 tff(15733,plain,
% 5.20/4.05 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s194, c_n1)) | (~m_main_v_state1(s194, c_c1)))),
% 5.20/4.05 inference(quant_inst,[status(thm)],[])).
% 5.20/4.05 tff(15734,plain,
% 5.20/4.05 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s194, c_n1)) | (~m_main_v_state1(s194, c_c1))),
% 5.20/4.05 inference(modus_ponens,[status(thm)],[15733, 15732])).
% 5.20/4.05 tff(15735,plain,
% 5.20/4.05 (~m_main_v_state1(s194, c_n1)),
% 5.20/4.05 inference(unit_resolution,[status(thm)],[15734, 454, 15731])).
% 5.20/4.05 tff(15736,plain,
% 5.20/4.05 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s194, c_n1) | (~node11(s194)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s194, c_n1) | (~node11(s194)))),
% 5.20/4.05 inference(rewrite,[status(thm)],[])).
% 5.20/4.05 tff(15737,plain,
% 5.20/4.05 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s194, c_n1) | (~node11(s194)))),
% 5.20/4.05 inference(quant_inst,[status(thm)],[])).
% 5.20/4.05 tff(15738,plain,
% 5.20/4.05 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s194, c_n1) | (~node11(s194))),
% 5.20/4.05 inference(modus_ponens,[status(thm)],[15737, 15736])).
% 5.20/4.05 tff(15739,plain,
% 5.20/4.05 (~node11(s194)),
% 5.20/4.05 inference(unit_resolution,[status(thm)],[15738, 238, 15735])).
% 5.20/4.05 tff(15740,plain,
% 5.20/4.05 (succ(s194, s195) <=> succ(s194, s195)),
% 5.20/4.05 inference(rewrite,[status(thm)],[])).
% 5.20/4.05 tff(15741,axiom,(succ(s194, s195)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound195')).
% 5.20/4.05 tff(15742,plain,
% 5.20/4.05 (succ(s194, s195)),
% 5.20/4.05 inference(modus_ponens,[status(thm)],[15741, 15740])).
% 5.20/4.05 tff(15743,plain,
% 5.20/4.05 (((~![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))),
% 5.20/4.05 inference(rewrite,[status(thm)],[])).
% 5.20/4.05 tff(15744,plain,
% 5.20/4.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s194, s195)) | trans(s194, s195))),
% 5.20/4.05 inference(quant_inst,[status(thm)],[])).
% 5.20/4.05 tff(15745,plain,
% 5.20/4.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s194, s195)) | trans(s194, s195)),
% 5.20/4.05 inference(modus_ponens,[status(thm)],[15744, 15743])).
% 5.20/4.05 tff(15746,plain,
% 5.20/4.05 (trans(s194, s195)),
% 5.20/4.05 inference(unit_resolution,[status(thm)],[15745, 15742, 32])).
% 5.20/4.05 tff(15747,plain,
% 5.20/4.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s194, s195)) | node14(s194, s195))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s194, s195)) | node14(s194, s195))),
% 5.20/4.05 inference(rewrite,[status(thm)],[])).
% 5.20/4.05 tff(15748,plain,
% 5.20/4.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s194, s195)) | node14(s194, s195))),
% 5.20/4.05 inference(quant_inst,[status(thm)],[])).
% 5.20/4.05 tff(15749,plain,
% 5.20/4.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s194, s195)) | node14(s194, s195)),
% 5.20/4.05 inference(modus_ponens,[status(thm)],[15748, 15747])).
% 5.20/4.05 tff(15750,plain,
% 5.20/4.05 (node14(s194, s195)),
% 5.20/4.05 inference(unit_resolution,[status(thm)],[15749, 46, 15746])).
% 5.20/4.05 tff(15751,plain,
% 5.20/4.05 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s194, c_c2) | node9(s194) | node8(s194) | node10(s194) | node11(s194) | node12(s194) | node13(s194, s195) | (~node14(s194, s195)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s194, c_c2) | node9(s194) | node8(s194) | node10(s194) | node11(s194) | node12(s194) | node13(s194, s195) | (~node14(s194, s195)))),
% 5.20/4.05 inference(rewrite,[status(thm)],[])).
% 5.20/4.05 tff(15752,plain,
% 5.20/4.05 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s194, c_c2) | node9(s194) | node8(s194) | node10(s194) | node11(s194) | node12(s194) | node13(s194, s195) | (~node14(s194, s195)))),
% 5.20/4.05 inference(quant_inst,[status(thm)],[])).
% 5.20/4.05 tff(15753,plain,
% 5.20/4.05 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s194, c_c2) | node9(s194) | node8(s194) | node10(s194) | node11(s194) | node12(s194) | node13(s194, s195) | (~node14(s194, s195))),
% 5.20/4.05 inference(modus_ponens,[status(thm)],[15752, 15751])).
% 5.20/4.05 tff(15754,plain,
% 5.20/4.05 (m_main_v_state2(s194, c_c2) | node9(s194) | node8(s194) | node10(s194) | node11(s194) | node12(s194) | node13(s194, s195)),
% 5.20/4.05 inference(unit_resolution,[status(thm)],[15753, 296, 15750])).
% 5.20/4.05 tff(15755,plain,
% 5.20/4.05 (node13(s194, s195)),
% 5.20/4.05 inference(unit_resolution,[status(thm)],[15754, 15739, 15696, 15692, 15688, 15684, 15667])).
% 5.20/4.05 tff(15756,plain,
% 5.20/4.05 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s194, c_n2) | (~m_main_v_state2(s195, c_n2)) | (~node13(s194, s195)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s194, c_n2) | (~m_main_v_state2(s195, c_n2)) | (~node13(s194, s195)))),
% 5.20/4.05 inference(rewrite,[status(thm)],[])).
% 5.20/4.05 tff(15757,plain,
% 5.20/4.05 (((~node13(s194, s195)) | m_main_v_state2(s194, c_n2) | (~m_main_v_state2(s195, c_n2))) <=> (m_main_v_state2(s194, c_n2) | (~m_main_v_state2(s195, c_n2)) | (~node13(s194, s195)))),
% 5.20/4.05 inference(rewrite,[status(thm)],[])).
% 5.20/4.05 tff(15758,plain,
% 5.20/4.05 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s194, s195)) | m_main_v_state2(s194, c_n2) | (~m_main_v_state2(s195, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s194, c_n2) | (~m_main_v_state2(s195, c_n2)) | (~node13(s194, s195))))),
% 5.20/4.05 inference(monotonicity,[status(thm)],[15757])).
% 5.20/4.05 tff(15759,plain,
% 5.20/4.05 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s194, s195)) | m_main_v_state2(s194, c_n2) | (~m_main_v_state2(s195, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s194, c_n2) | (~m_main_v_state2(s195, c_n2)) | (~node13(s194, s195)))),
% 5.20/4.05 inference(transitivity,[status(thm)],[15758, 15756])).
% 5.20/4.05 tff(15760,plain,
% 5.20/4.05 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s194, s195)) | m_main_v_state2(s194, c_n2) | (~m_main_v_state2(s195, c_n2)))),
% 5.20/4.05 inference(quant_inst,[status(thm)],[])).
% 5.20/4.05 tff(15761,plain,
% 5.20/4.05 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s194, c_n2) | (~m_main_v_state2(s195, c_n2)) | (~node13(s194, s195))),
% 5.20/4.05 inference(modus_ponens,[status(thm)],[15760, 15759])).
% 5.20/4.05 tff(15762,plain,
% 5.20/4.05 (~m_main_v_state2(s195, c_n2)),
% 5.20/4.05 inference(unit_resolution,[status(thm)],[15761, 311, 15680, 15755])).
% 5.20/4.05 tff(15763,plain,
% 5.20/4.05 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s195, c_n2) | (~node9(s195)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s195, c_n2) | (~node9(s195)))),
% 5.20/4.05 inference(rewrite,[status(thm)],[])).
% 5.20/4.05 tff(15764,plain,
% 5.20/4.05 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s195, c_n2) | (~node9(s195)))),
% 5.20/4.05 inference(quant_inst,[status(thm)],[])).
% 5.20/4.05 tff(15765,plain,
% 5.20/4.05 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s195, c_n2) | (~node9(s195))),
% 5.20/4.05 inference(modus_ponens,[status(thm)],[15764, 15763])).
% 5.20/4.05 tff(15766,plain,
% 5.20/4.05 (~node9(s195)),
% 5.20/4.05 inference(unit_resolution,[status(thm)],[15765, 88, 15762])).
% 5.20/4.05 tff(15767,plain,
% 5.20/4.05 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s195, c_n2) | (~node10(s195)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s195, c_n2) | (~node10(s195)))),
% 5.20/4.05 inference(rewrite,[status(thm)],[])).
% 5.20/4.05 tff(15768,plain,
% 5.20/4.05 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s195, c_n2) | (~node10(s195)))),
% 5.20/4.05 inference(quant_inst,[status(thm)],[])).
% 5.20/4.05 tff(15769,plain,
% 5.20/4.05 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s195, c_n2) | (~node10(s195))),
% 5.20/4.05 inference(modus_ponens,[status(thm)],[15768, 15767])).
% 5.20/4.05 tff(15770,plain,
% 5.20/4.05 (~node10(s195)),
% 5.20/4.05 inference(unit_resolution,[status(thm)],[15769, 249, 15762])).
% 5.20/4.05 tff(15771,plain,
% 5.20/4.05 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s194, c_t2)) | m_main_v_state2(s195, c_t2) | (~node13(s194, s195)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s194, c_t2)) | m_main_v_state2(s195, c_t2) | (~node13(s194, s195)))),
% 5.20/4.05 inference(rewrite,[status(thm)],[])).
% 5.20/4.05 tff(15772,plain,
% 5.20/4.05 (((~node13(s194, s195)) | (~m_main_v_state2(s194, c_t2)) | m_main_v_state2(s195, c_t2)) <=> ((~m_main_v_state2(s194, c_t2)) | m_main_v_state2(s195, c_t2) | (~node13(s194, s195)))),
% 5.20/4.05 inference(rewrite,[status(thm)],[])).
% 5.20/4.05 tff(15773,plain,
% 5.20/4.05 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s194, s195)) | (~m_main_v_state2(s194, c_t2)) | m_main_v_state2(s195, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s194, c_t2)) | m_main_v_state2(s195, c_t2) | (~node13(s194, s195))))),
% 5.20/4.05 inference(monotonicity,[status(thm)],[15772])).
% 5.20/4.05 tff(15774,plain,
% 5.20/4.05 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s194, s195)) | (~m_main_v_state2(s194, c_t2)) | m_main_v_state2(s195, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s194, c_t2)) | m_main_v_state2(s195, c_t2) | (~node13(s194, s195)))),
% 5.20/4.05 inference(transitivity,[status(thm)],[15773, 15771])).
% 5.20/4.05 tff(15775,plain,
% 5.20/4.05 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s194, s195)) | (~m_main_v_state2(s194, c_t2)) | m_main_v_state2(s195, c_t2))),
% 5.20/4.05 inference(quant_inst,[status(thm)],[])).
% 5.20/4.05 tff(15776,plain,
% 5.20/4.05 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s194, c_t2)) | m_main_v_state2(s195, c_t2) | (~node13(s194, s195))),
% 5.20/4.05 inference(modus_ponens,[status(thm)],[15775, 15774])).
% 5.20/4.05 tff(15777,plain,
% 5.20/4.05 (m_main_v_state2(s195, c_t2)),
% 5.20/4.05 inference(unit_resolution,[status(thm)],[15776, 518, 15676, 15755])).
% 5.20/4.05 tff(15778,plain,
% 5.20/4.05 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s194, c_t1)) | (~m_main_v_state1(s194, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s194, c_t1)) | (~m_main_v_state1(s194, c_c1)))),
% 5.20/4.05 inference(rewrite,[status(thm)],[])).
% 5.20/4.05 tff(15779,plain,
% 5.20/4.05 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s194, c_t1)) | (~m_main_v_state1(s194, c_c1)))),
% 5.20/4.05 inference(quant_inst,[status(thm)],[])).
% 5.20/4.05 tff(15780,plain,
% 5.20/4.05 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s194, c_t1)) | (~m_main_v_state1(s194, c_c1))),
% 5.20/4.05 inference(modus_ponens,[status(thm)],[15779, 15778])).
% 5.20/4.05 tff(15781,plain,
% 5.20/4.05 (~m_main_v_state1(s194, c_t1)),
% 5.20/4.05 inference(unit_resolution,[status(thm)],[15780, 539, 15731])).
% 5.20/4.05 tff(15782,plain,
% 5.20/4.05 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s194, c_t1) | (~node5(s194)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s194, c_t1) | (~node5(s194)))),
% 5.20/4.05 inference(rewrite,[status(thm)],[])).
% 5.20/4.05 tff(15783,plain,
% 5.20/4.05 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s194, c_t1) | (~node5(s194)))),
% 5.20/4.05 inference(quant_inst,[status(thm)],[])).
% 5.20/4.05 tff(15784,plain,
% 5.20/4.05 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s194, c_t1) | (~node5(s194))),
% 5.20/4.05 inference(modus_ponens,[status(thm)],[15783, 15782])).
% 5.20/4.05 tff(15785,plain,
% 5.20/4.05 (~node5(s194)),
% 5.20/4.05 inference(unit_resolution,[status(thm)],[15784, 550, 15781])).
% 5.20/4.05 tff(15786,plain,
% 5.20/4.05 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s194, c_n2) | (~node4(s194)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s194, c_n2) | (~node4(s194)))),
% 5.20/4.05 inference(rewrite,[status(thm)],[])).
% 5.20/4.05 tff(15787,plain,
% 5.20/4.05 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s194, c_n2) | (~node4(s194)))),
% 5.20/4.05 inference(quant_inst,[status(thm)],[])).
% 5.20/4.05 tff(15788,plain,
% 5.20/4.05 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s194, c_n2) | (~node4(s194))),
% 5.20/4.05 inference(modus_ponens,[status(thm)],[15787, 15786])).
% 5.20/4.05 tff(15789,plain,
% 5.20/4.05 (~node4(s194)),
% 5.20/4.05 inference(unit_resolution,[status(thm)],[15788, 388, 15680])).
% 5.20/4.05 tff(15790,plain,
% 5.20/4.05 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s194, c_c2) | (~node3(s194)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s194, c_c2) | (~node3(s194)))),
% 5.20/4.05 inference(rewrite,[status(thm)],[])).
% 5.20/4.05 tff(15791,plain,
% 5.20/4.05 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s194, c_c2) | (~node3(s194)))),
% 5.20/4.05 inference(quant_inst,[status(thm)],[])).
% 5.20/4.05 tff(15792,plain,
% 5.20/4.05 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s194, c_c2) | (~node3(s194))),
% 5.20/4.05 inference(modus_ponens,[status(thm)],[15791, 15790])).
% 5.20/4.05 tff(15793,plain,
% 5.20/4.05 (~node3(s194)),
% 5.20/4.05 inference(unit_resolution,[status(thm)],[15792, 399, 15696])).
% 5.20/4.05 tff(15794,plain,
% 5.20/4.05 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s194, c_n2) | (~node2(s194)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s194, c_n2) | (~node2(s194)))),
% 5.20/4.05 inference(rewrite,[status(thm)],[])).
% 5.20/4.05 tff(15795,plain,
% 5.20/4.05 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s194, c_n2) | (~node2(s194)))),
% 5.20/4.05 inference(quant_inst,[status(thm)],[])).
% 5.20/4.05 tff(15796,plain,
% 5.20/4.05 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s194, c_n2) | (~node2(s194))),
% 5.20/4.05 inference(modus_ponens,[status(thm)],[15795, 15794])).
% 5.20/4.05 tff(15797,plain,
% 5.20/4.05 (~node2(s194)),
% 5.20/4.05 inference(unit_resolution,[status(thm)],[15796, 410, 15680])).
% 5.20/4.05 tff(15798,plain,
% 5.20/4.05 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s194, c_n1) | (~node1(s194)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s194, c_n1) | (~node1(s194)))),
% 5.20/4.05 inference(rewrite,[status(thm)],[])).
% 5.20/4.05 tff(15799,plain,
% 5.20/4.05 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s194, c_n1) | (~node1(s194)))),
% 5.20/4.05 inference(quant_inst,[status(thm)],[])).
% 5.20/4.05 tff(15800,plain,
% 5.20/4.05 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s194, c_n1) | (~node1(s194))),
% 5.20/4.05 inference(modus_ponens,[status(thm)],[15799, 15798])).
% 5.20/4.05 tff(15801,plain,
% 5.20/4.05 (~node1(s194)),
% 5.20/4.05 inference(unit_resolution,[status(thm)],[15800, 421, 15735])).
% 5.20/4.05 tff(15802,plain,
% 5.20/4.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s194, s195)) | node7(s194, s195))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s194, s195)) | node7(s194, s195))),
% 5.20/4.05 inference(rewrite,[status(thm)],[])).
% 5.20/4.05 tff(15803,plain,
% 5.20/4.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s194, s195)) | node7(s194, s195))),
% 5.20/4.05 inference(quant_inst,[status(thm)],[])).
% 5.20/4.05 tff(15804,plain,
% 5.20/4.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s194, s195)) | node7(s194, s195)),
% 5.20/4.05 inference(modus_ponens,[status(thm)],[15803, 15802])).
% 5.20/4.05 tff(15805,plain,
% 5.20/4.05 (node7(s194, s195)),
% 5.20/4.05 inference(unit_resolution,[status(thm)],[15804, 206, 15746])).
% 5.20/4.05 tff(15806,plain,
% 5.20/4.05 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s195, c_n1) | (~m_main_v_state1(s194, c_c1)) | node1(s194) | node2(s194) | node3(s194) | node4(s194) | node5(s194) | (~node7(s194, s195)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s195, c_n1) | (~m_main_v_state1(s194, c_c1)) | node1(s194) | node2(s194) | node3(s194) | node4(s194) | node5(s194) | (~node7(s194, s195)))),
% 5.20/4.05 inference(rewrite,[status(thm)],[])).
% 5.20/4.05 tff(15807,plain,
% 5.20/4.05 (((~m_main_v_state1(s194, c_c1)) | node1(s194) | node2(s194) | node3(s194) | node4(s194) | node5(s194) | (~node7(s194, s195)) | m_main_v_state1(s195, c_n1)) <=> (m_main_v_state1(s195, c_n1) | (~m_main_v_state1(s194, c_c1)) | node1(s194) | node2(s194) | node3(s194) | node4(s194) | node5(s194) | (~node7(s194, s195)))),
% 5.20/4.05 inference(rewrite,[status(thm)],[])).
% 5.20/4.05 tff(15808,plain,
% 5.20/4.05 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s194, c_c1)) | node1(s194) | node2(s194) | node3(s194) | node4(s194) | node5(s194) | (~node7(s194, s195)) | m_main_v_state1(s195, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s195, c_n1) | (~m_main_v_state1(s194, c_c1)) | node1(s194) | node2(s194) | node3(s194) | node4(s194) | node5(s194) | (~node7(s194, s195))))),
% 5.20/4.05 inference(monotonicity,[status(thm)],[15807])).
% 5.20/4.05 tff(15809,plain,
% 5.20/4.05 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s194, c_c1)) | node1(s194) | node2(s194) | node3(s194) | node4(s194) | node5(s194) | (~node7(s194, s195)) | m_main_v_state1(s195, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s195, c_n1) | (~m_main_v_state1(s194, c_c1)) | node1(s194) | node2(s194) | node3(s194) | node4(s194) | node5(s194) | (~node7(s194, s195)))),
% 5.20/4.05 inference(transitivity,[status(thm)],[15808, 15806])).
% 5.20/4.05 tff(15810,plain,
% 5.20/4.05 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s194, c_c1)) | node1(s194) | node2(s194) | node3(s194) | node4(s194) | node5(s194) | (~node7(s194, s195)) | m_main_v_state1(s195, c_n1))),
% 5.20/4.05 inference(quant_inst,[status(thm)],[])).
% 5.20/4.05 tff(15811,plain,
% 5.20/4.05 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s195, c_n1) | (~m_main_v_state1(s194, c_c1)) | node1(s194) | node2(s194) | node3(s194) | node4(s194) | node5(s194) | (~node7(s194, s195))),
% 5.20/4.05 inference(modus_ponens,[status(thm)],[15810, 15809])).
% 5.20/4.05 tff(15812,plain,
% 5.20/4.05 (m_main_v_state1(s195, c_n1) | (~m_main_v_state1(s194, c_c1)) | node1(s194) | node2(s194) | node3(s194) | node4(s194) | node5(s194)),
% 5.20/4.05 inference(unit_resolution,[status(thm)],[15811, 584, 15805])).
% 5.20/4.05 tff(15813,plain,
% 5.20/4.05 (m_main_v_state1(s195, c_n1)),
% 5.20/4.05 inference(unit_resolution,[status(thm)],[15812, 15801, 15731, 15797, 15793, 15789, 15785])).
% 5.20/4.05 tff(15814,plain,
% 5.20/4.05 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s195, c_n2) | (~node8(s195)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s195, c_n2) | (~node8(s195)))),
% 5.20/4.05 inference(rewrite,[status(thm)],[])).
% 5.20/4.05 tff(15815,plain,
% 5.20/4.05 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s195, c_n2) | (~node8(s195)))),
% 5.20/4.05 inference(quant_inst,[status(thm)],[])).
% 5.20/4.05 tff(15816,plain,
% 5.20/4.05 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s195, c_n2) | (~node8(s195))),
% 5.20/4.05 inference(modus_ponens,[status(thm)],[15815, 15814])).
% 5.20/4.05 tff(15817,plain,
% 5.20/4.05 (~node8(s195)),
% 5.20/4.05 inference(unit_resolution,[status(thm)],[15816, 271, 15762])).
% 5.20/4.05 tff(15818,plain,
% 5.20/4.05 (succ(s195, s196) <=> succ(s195, s196)),
% 5.20/4.05 inference(rewrite,[status(thm)],[])).
% 5.20/4.05 tff(15819,axiom,(succ(s195, s196)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound196')).
% 5.20/4.05 tff(15820,plain,
% 5.20/4.05 (succ(s195, s196)),
% 5.20/4.05 inference(modus_ponens,[status(thm)],[15819, 15818])).
% 5.20/4.05 tff(15821,plain,
% 5.20/4.05 (((~![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))),
% 5.20/4.05 inference(rewrite,[status(thm)],[])).
% 5.20/4.05 tff(15822,plain,
% 5.20/4.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s195, s196)) | trans(s195, s196))),
% 5.20/4.05 inference(quant_inst,[status(thm)],[])).
% 5.20/4.05 tff(15823,plain,
% 5.20/4.05 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s195, s196)) | trans(s195, s196)),
% 5.20/4.05 inference(modus_ponens,[status(thm)],[15822, 15821])).
% 5.20/4.05 tff(15824,plain,
% 5.20/4.05 (trans(s195, s196)),
% 5.20/4.05 inference(unit_resolution,[status(thm)],[15823, 15820, 32])).
% 5.20/4.05 tff(15825,plain,
% 5.20/4.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s195, s196)) | node14(s195, s196))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s195, s196)) | node14(s195, s196))),
% 5.20/4.05 inference(rewrite,[status(thm)],[])).
% 5.20/4.05 tff(15826,plain,
% 5.20/4.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s195, s196)) | node14(s195, s196))),
% 5.20/4.05 inference(quant_inst,[status(thm)],[])).
% 5.20/4.05 tff(15827,plain,
% 5.20/4.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s195, s196)) | node14(s195, s196)),
% 5.20/4.05 inference(modus_ponens,[status(thm)],[15826, 15825])).
% 5.20/4.05 tff(15828,plain,
% 5.20/4.05 (node14(s195, s196)),
% 5.20/4.05 inference(unit_resolution,[status(thm)],[15827, 46, 15824])).
% 5.20/4.05 tff(15829,plain,
% 5.20/4.05 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s195, c_n1)) | (~m_main_v_state2(s195, c_t2)) | node9(s195) | node8(s195) | node10(s195) | (~node14(s195, s196)) | m_main_v_state2(s196, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s195, c_n1)) | (~m_main_v_state2(s195, c_t2)) | node9(s195) | node8(s195) | node10(s195) | (~node14(s195, s196)) | m_main_v_state2(s196, c_c2))),
% 5.20/4.06 inference(rewrite,[status(thm)],[])).
% 5.20/4.06 tff(15830,plain,
% 5.20/4.06 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s195, c_n1)) | (~m_main_v_state2(s195, c_t2)) | node9(s195) | node8(s195) | node10(s195) | (~node14(s195, s196)) | m_main_v_state2(s196, c_c2))),
% 5.20/4.06 inference(quant_inst,[status(thm)],[])).
% 5.20/4.06 tff(15831,plain,
% 5.20/4.06 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s195, c_n1)) | (~m_main_v_state2(s195, c_t2)) | node9(s195) | node8(s195) | node10(s195) | (~node14(s195, s196)) | m_main_v_state2(s196, c_c2)),
% 5.20/4.06 inference(modus_ponens,[status(thm)],[15830, 15829])).
% 5.20/4.06 tff(15832,plain,
% 5.20/4.06 ((~m_main_v_state1(s195, c_n1)) | (~m_main_v_state2(s195, c_t2)) | node9(s195) | node8(s195) | node10(s195) | m_main_v_state2(s196, c_c2)),
% 5.20/4.06 inference(unit_resolution,[status(thm)],[15831, 617, 15828])).
% 5.20/4.06 tff(15833,plain,
% 5.20/4.06 (m_main_v_state2(s196, c_c2)),
% 5.20/4.06 inference(unit_resolution,[status(thm)],[15832, 15817, 15813, 15777, 15770, 15766])).
% 5.20/4.06 tff(15834,plain,
% 5.20/4.06 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s196, c_t2)) | (~m_main_v_state2(s196, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s196, c_t2)) | (~m_main_v_state2(s196, c_c2)))),
% 5.20/4.06 inference(rewrite,[status(thm)],[])).
% 5.20/4.06 tff(15835,plain,
% 5.20/4.06 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s196, c_t2)) | (~m_main_v_state2(s196, c_c2)))),
% 5.20/4.06 inference(quant_inst,[status(thm)],[])).
% 5.20/4.06 tff(15836,plain,
% 5.20/4.06 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s196, c_t2)) | (~m_main_v_state2(s196, c_c2))),
% 5.20/4.06 inference(modus_ponens,[status(thm)],[15835, 15834])).
% 5.20/4.06 tff(15837,plain,
% 5.20/4.06 (~m_main_v_state2(s196, c_t2)),
% 5.20/4.06 inference(unit_resolution,[status(thm)],[15836, 260, 15833])).
% 5.20/4.06 tff(15838,plain,
% 5.20/4.06 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s196, c_t2) | (~node12(s196)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s196, c_t2) | (~node12(s196)))),
% 5.20/4.06 inference(rewrite,[status(thm)],[])).
% 5.20/4.06 tff(15839,plain,
% 5.20/4.06 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s196, c_t2) | (~node12(s196)))),
% 5.20/4.06 inference(quant_inst,[status(thm)],[])).
% 5.20/4.06 tff(15840,plain,
% 5.20/4.06 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s196, c_t2) | (~node12(s196))),
% 5.20/4.06 inference(modus_ponens,[status(thm)],[15839, 15838])).
% 5.20/4.06 tff(15841,plain,
% 5.20/4.06 (~node12(s196)),
% 5.20/4.06 inference(unit_resolution,[status(thm)],[15840, 633, 15837])).
% 5.20/4.06 tff(15842,plain,
% 5.20/4.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s195, s196)) | node7(s195, s196))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s195, s196)) | node7(s195, s196))),
% 5.20/4.06 inference(rewrite,[status(thm)],[])).
% 5.20/4.06 tff(15843,plain,
% 5.20/4.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s195, s196)) | node7(s195, s196))),
% 5.20/4.06 inference(quant_inst,[status(thm)],[])).
% 5.20/4.06 tff(15844,plain,
% 5.20/4.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s195, s196)) | node7(s195, s196)),
% 5.20/4.06 inference(modus_ponens,[status(thm)],[15843, 15842])).
% 5.20/4.06 tff(15845,plain,
% 5.20/4.06 (node7(s195, s196)),
% 5.20/4.06 inference(unit_resolution,[status(thm)],[15844, 206, 15824])).
% 5.20/4.06 tff(15846,plain,
% 5.20/4.06 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s195, c_n1)) | (~m_main_v_state2(s195, c_t2)) | (~node7(s195, s196)) | m_main_v_state1(s196, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s195, c_n1)) | (~m_main_v_state2(s195, c_t2)) | (~node7(s195, s196)) | m_main_v_state1(s196, c_t1))),
% 5.20/4.06 inference(rewrite,[status(thm)],[])).
% 5.20/4.06 tff(15847,plain,
% 5.20/4.06 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s195, c_n1)) | (~m_main_v_state2(s195, c_t2)) | (~node7(s195, s196)) | m_main_v_state1(s196, c_t1))),
% 5.20/4.06 inference(quant_inst,[status(thm)],[])).
% 5.20/4.06 tff(15848,plain,
% 5.20/4.06 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s195, c_n1)) | (~m_main_v_state2(s195, c_t2)) | (~node7(s195, s196)) | m_main_v_state1(s196, c_t1)),
% 5.20/4.06 inference(modus_ponens,[status(thm)],[15847, 15846])).
% 5.20/4.06 tff(15849,plain,
% 5.20/4.06 ((~m_main_v_state1(s195, c_n1)) | (~m_main_v_state2(s195, c_t2)) | m_main_v_state1(s196, c_t1)),
% 5.20/4.06 inference(unit_resolution,[status(thm)],[15848, 651, 15845])).
% 5.20/4.06 tff(15850,plain,
% 5.20/4.06 (m_main_v_state1(s196, c_t1)),
% 5.20/4.06 inference(unit_resolution,[status(thm)],[15849, 15777, 15813])).
% 5.20/4.06 tff(15851,plain,
% 5.20/4.06 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s196, c_n1)) | (~m_main_v_state1(s196, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s196, c_n1)) | (~m_main_v_state1(s196, c_t1)))),
% 5.20/4.06 inference(rewrite,[status(thm)],[])).
% 5.20/4.06 tff(15852,plain,
% 5.20/4.06 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s196, c_n1)) | (~m_main_v_state1(s196, c_t1)))),
% 5.20/4.06 inference(quant_inst,[status(thm)],[])).
% 5.20/4.06 tff(15853,plain,
% 5.20/4.06 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s196, c_n1)) | (~m_main_v_state1(s196, c_t1))),
% 5.20/4.06 inference(modus_ponens,[status(thm)],[15852, 15851])).
% 5.20/4.06 tff(15854,plain,
% 5.20/4.06 (~m_main_v_state1(s196, c_n1)),
% 5.20/4.06 inference(unit_resolution,[status(thm)],[15853, 10, 15850])).
% 5.20/4.06 tff(15855,plain,
% 5.20/4.06 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s196, c_n1) | (~node11(s196)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s196, c_n1) | (~node11(s196)))),
% 5.20/4.06 inference(rewrite,[status(thm)],[])).
% 5.20/4.06 tff(15856,plain,
% 5.20/4.06 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s196, c_n1) | (~node11(s196)))),
% 5.20/4.06 inference(quant_inst,[status(thm)],[])).
% 5.20/4.06 tff(15857,plain,
% 5.20/4.06 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s196, c_n1) | (~node11(s196))),
% 5.20/4.06 inference(modus_ponens,[status(thm)],[15856, 15855])).
% 5.20/4.06 tff(15858,plain,
% 5.20/4.06 (~node11(s196)),
% 5.20/4.06 inference(unit_resolution,[status(thm)],[15857, 238, 15854])).
% 5.20/4.06 tff(15859,plain,
% 5.20/4.06 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s196, c_t1)) | (~m_main_v_state1(s196, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s196, c_t1)) | (~m_main_v_state1(s196, c_c1)))),
% 5.20/4.06 inference(rewrite,[status(thm)],[])).
% 5.20/4.06 tff(15860,plain,
% 5.20/4.06 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s196, c_t1)) | (~m_main_v_state1(s196, c_c1)))),
% 5.20/4.06 inference(quant_inst,[status(thm)],[])).
% 5.20/4.06 tff(15861,plain,
% 5.20/4.06 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s196, c_t1)) | (~m_main_v_state1(s196, c_c1))),
% 5.20/4.06 inference(modus_ponens,[status(thm)],[15860, 15859])).
% 5.20/4.06 tff(15862,plain,
% 5.20/4.06 (~m_main_v_state1(s196, c_c1)),
% 5.20/4.06 inference(unit_resolution,[status(thm)],[15861, 539, 15850])).
% 5.20/4.06 tff(15863,plain,
% 5.20/4.06 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s196, c_c1) | (~node10(s196)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s196, c_c1) | (~node10(s196)))),
% 5.20/4.06 inference(rewrite,[status(thm)],[])).
% 5.20/4.06 tff(15864,plain,
% 5.20/4.06 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s196, c_c1) | (~node10(s196)))),
% 5.20/4.06 inference(quant_inst,[status(thm)],[])).
% 5.20/4.06 tff(15865,plain,
% 5.20/4.06 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s196, c_c1) | (~node10(s196))),
% 5.20/4.06 inference(modus_ponens,[status(thm)],[15864, 15863])).
% 5.20/4.06 tff(15866,plain,
% 5.20/4.06 (~node10(s196)),
% 5.20/4.06 inference(unit_resolution,[status(thm)],[15865, 675, 15862])).
% 5.20/4.06 tff(15867,plain,
% 5.20/4.06 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s196, c_n1) | (~node9(s196)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s196, c_n1) | (~node9(s196)))),
% 5.20/4.06 inference(rewrite,[status(thm)],[])).
% 5.20/4.06 tff(15868,plain,
% 5.20/4.06 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s196, c_n1) | (~node9(s196)))),
% 5.20/4.06 inference(quant_inst,[status(thm)],[])).
% 5.20/4.06 tff(15869,plain,
% 5.20/4.06 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s196, c_n1) | (~node9(s196))),
% 5.20/4.06 inference(modus_ponens,[status(thm)],[15868, 15867])).
% 5.20/4.06 tff(15870,plain,
% 5.20/4.06 (~node9(s196)),
% 5.20/4.06 inference(unit_resolution,[status(thm)],[15869, 686, 15854])).
% 5.20/4.06 tff(15871,plain,
% 5.20/4.06 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s196, c_n2)) | (~m_main_v_state2(s196, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s196, c_n2)) | (~m_main_v_state2(s196, c_c2)))),
% 5.20/4.06 inference(rewrite,[status(thm)],[])).
% 5.20/4.06 tff(15872,plain,
% 5.20/4.06 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s196, c_n2)) | (~m_main_v_state2(s196, c_c2)))),
% 5.20/4.06 inference(quant_inst,[status(thm)],[])).
% 5.20/4.06 tff(15873,plain,
% 5.20/4.06 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s196, c_n2)) | (~m_main_v_state2(s196, c_c2))),
% 5.22/4.06 inference(modus_ponens,[status(thm)],[15872, 15871])).
% 5.22/4.06 tff(15874,plain,
% 5.22/4.06 (~m_main_v_state2(s196, c_n2)),
% 5.22/4.06 inference(unit_resolution,[status(thm)],[15873, 697, 15833])).
% 5.22/4.06 tff(15875,plain,
% 5.22/4.06 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s196, c_n2) | (~node8(s196)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s196, c_n2) | (~node8(s196)))),
% 5.22/4.06 inference(rewrite,[status(thm)],[])).
% 5.22/4.06 tff(15876,plain,
% 5.22/4.06 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s196, c_n2) | (~node8(s196)))),
% 5.22/4.06 inference(quant_inst,[status(thm)],[])).
% 5.22/4.06 tff(15877,plain,
% 5.22/4.06 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s196, c_n2) | (~node8(s196))),
% 5.22/4.06 inference(modus_ponens,[status(thm)],[15876, 15875])).
% 5.22/4.06 tff(15878,plain,
% 5.22/4.06 (~node8(s196)),
% 5.22/4.06 inference(unit_resolution,[status(thm)],[15877, 271, 15874])).
% 5.22/4.06 tff(15879,plain,
% 5.22/4.06 (succ(s196, s197) <=> succ(s196, s197)),
% 5.22/4.06 inference(rewrite,[status(thm)],[])).
% 5.22/4.06 tff(15880,axiom,(succ(s196, s197)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound197')).
% 5.22/4.06 tff(15881,plain,
% 5.22/4.06 (succ(s196, s197)),
% 5.22/4.06 inference(modus_ponens,[status(thm)],[15880, 15879])).
% 5.22/4.06 tff(15882,plain,
% 5.22/4.06 (((~![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))),
% 5.22/4.06 inference(rewrite,[status(thm)],[])).
% 5.22/4.06 tff(15883,plain,
% 5.22/4.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s196, s197)) | trans(s196, s197))),
% 5.22/4.06 inference(quant_inst,[status(thm)],[])).
% 5.22/4.06 tff(15884,plain,
% 5.22/4.06 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s196, s197)) | trans(s196, s197)),
% 5.22/4.06 inference(modus_ponens,[status(thm)],[15883, 15882])).
% 5.22/4.06 tff(15885,plain,
% 5.22/4.06 (trans(s196, s197)),
% 5.22/4.06 inference(unit_resolution,[status(thm)],[15884, 15881, 32])).
% 5.22/4.06 tff(15886,plain,
% 5.22/4.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s196, s197)) | node14(s196, s197))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s196, s197)) | node14(s196, s197))),
% 5.22/4.06 inference(rewrite,[status(thm)],[])).
% 5.22/4.06 tff(15887,plain,
% 5.22/4.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s196, s197)) | node14(s196, s197))),
% 5.22/4.06 inference(quant_inst,[status(thm)],[])).
% 5.22/4.06 tff(15888,plain,
% 5.22/4.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s196, s197)) | node14(s196, s197)),
% 5.22/4.06 inference(modus_ponens,[status(thm)],[15887, 15886])).
% 5.22/4.06 tff(15889,plain,
% 5.22/4.06 (node14(s196, s197)),
% 5.22/4.06 inference(unit_resolution,[status(thm)],[15888, 46, 15885])).
% 5.22/4.06 tff(15890,plain,
% 5.22/4.06 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s197, c_n2) | node9(s196) | node8(s196) | node10(s196) | node11(s196) | node12(s196) | (~node14(s196, s197)) | (~m_main_v_state2(s196, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s197, c_n2) | node9(s196) | node8(s196) | node10(s196) | node11(s196) | node12(s196) | (~node14(s196, s197)) | (~m_main_v_state2(s196, c_c2)))),
% 5.22/4.06 inference(rewrite,[status(thm)],[])).
% 5.22/4.06 tff(15891,plain,
% 5.22/4.06 (((~m_main_v_state2(s196, c_c2)) | node9(s196) | node8(s196) | node10(s196) | node11(s196) | node12(s196) | (~node14(s196, s197)) | m_main_v_state2(s197, c_n2)) <=> (m_main_v_state2(s197, c_n2) | node9(s196) | node8(s196) | node10(s196) | node11(s196) | node12(s196) | (~node14(s196, s197)) | (~m_main_v_state2(s196, c_c2)))),
% 5.22/4.06 inference(rewrite,[status(thm)],[])).
% 5.22/4.06 tff(15892,plain,
% 5.22/4.06 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s196, c_c2)) | node9(s196) | node8(s196) | node10(s196) | node11(s196) | node12(s196) | (~node14(s196, s197)) | m_main_v_state2(s197, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s197, c_n2) | node9(s196) | node8(s196) | node10(s196) | node11(s196) | node12(s196) | (~node14(s196, s197)) | (~m_main_v_state2(s196, c_c2))))),
% 5.22/4.06 inference(monotonicity,[status(thm)],[15891])).
% 5.22/4.06 tff(15893,plain,
% 5.22/4.06 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s196, c_c2)) | node9(s196) | node8(s196) | node10(s196) | node11(s196) | node12(s196) | (~node14(s196, s197)) | m_main_v_state2(s197, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s197, c_n2) | node9(s196) | node8(s196) | node10(s196) | node11(s196) | node12(s196) | (~node14(s196, s197)) | (~m_main_v_state2(s196, c_c2)))),
% 5.22/4.06 inference(transitivity,[status(thm)],[15892, 15890])).
% 5.22/4.06 tff(15894,plain,
% 5.22/4.06 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s196, c_c2)) | node9(s196) | node8(s196) | node10(s196) | node11(s196) | node12(s196) | (~node14(s196, s197)) | m_main_v_state2(s197, c_n2))),
% 5.22/4.06 inference(quant_inst,[status(thm)],[])).
% 5.22/4.06 tff(15895,plain,
% 5.22/4.06 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s197, c_n2) | node9(s196) | node8(s196) | node10(s196) | node11(s196) | node12(s196) | (~node14(s196, s197)) | (~m_main_v_state2(s196, c_c2))),
% 5.22/4.06 inference(modus_ponens,[status(thm)],[15894, 15893])).
% 5.22/4.06 tff(15896,plain,
% 5.22/4.06 (m_main_v_state2(s197, c_n2) | node9(s196) | node8(s196) | node10(s196) | node11(s196) | node12(s196) | (~m_main_v_state2(s196, c_c2))),
% 5.22/4.06 inference(unit_resolution,[status(thm)],[15895, 726, 15889])).
% 5.22/4.06 tff(15897,plain,
% 5.22/4.06 (m_main_v_state2(s197, c_n2)),
% 5.22/4.06 inference(unit_resolution,[status(thm)],[15896, 15878, 15833, 15870, 15866, 15858, 15841])).
% 5.22/4.06 tff(15898,plain,
% 5.22/4.06 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s197, c_n2)) | (~m_main_v_state2(s197, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s197, c_n2)) | (~m_main_v_state2(s197, c_c2)))),
% 5.22/4.06 inference(rewrite,[status(thm)],[])).
% 5.22/4.06 tff(15899,plain,
% 5.22/4.06 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s197, c_n2)) | (~m_main_v_state2(s197, c_c2)))),
% 5.22/4.06 inference(quant_inst,[status(thm)],[])).
% 5.22/4.06 tff(15900,plain,
% 5.22/4.06 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s197, c_n2)) | (~m_main_v_state2(s197, c_c2))),
% 5.22/4.06 inference(modus_ponens,[status(thm)],[15899, 15898])).
% 5.22/4.06 tff(15901,plain,
% 5.22/4.06 (~m_main_v_state2(s197, c_c2)),
% 5.22/4.06 inference(unit_resolution,[status(thm)],[15900, 697, 15897])).
% 5.22/4.06 tff(15902,plain,
% 5.22/4.06 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s197, c_c2) | (~node3(s197)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s197, c_c2) | (~node3(s197)))),
% 5.22/4.06 inference(rewrite,[status(thm)],[])).
% 5.22/4.06 tff(15903,plain,
% 5.22/4.06 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s197, c_c2) | (~node3(s197)))),
% 5.22/4.06 inference(quant_inst,[status(thm)],[])).
% 5.22/4.06 tff(15904,plain,
% 5.22/4.06 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s197, c_c2) | (~node3(s197))),
% 5.22/4.06 inference(modus_ponens,[status(thm)],[15903, 15902])).
% 5.22/4.06 tff(15905,plain,
% 5.22/4.06 (~node3(s197)),
% 5.22/4.06 inference(unit_resolution,[status(thm)],[15904, 399, 15901])).
% 5.22/4.06 tff(15906,plain,
% 5.22/4.06 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s196, c_n1) | (~node1(s196)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s196, c_n1) | (~node1(s196)))),
% 5.22/4.06 inference(rewrite,[status(thm)],[])).
% 5.22/4.06 tff(15907,plain,
% 5.22/4.06 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s196, c_n1) | (~node1(s196)))),
% 5.22/4.06 inference(quant_inst,[status(thm)],[])).
% 5.22/4.06 tff(15908,plain,
% 5.22/4.06 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s196, c_n1) | (~node1(s196))),
% 5.22/4.06 inference(modus_ponens,[status(thm)],[15907, 15906])).
% 5.22/4.06 tff(15909,plain,
% 5.22/4.06 (~node1(s196)),
% 5.22/4.06 inference(unit_resolution,[status(thm)],[15908, 421, 15854])).
% 5.22/4.06 tff(15910,plain,
% 5.22/4.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s195, s196)) | node18(s195, s196))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s195, s196)) | node18(s195, s196))),
% 5.22/4.06 inference(rewrite,[status(thm)],[])).
% 5.22/4.06 tff(15911,plain,
% 5.22/4.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s195, s196)) | node18(s195, s196))),
% 5.22/4.06 inference(quant_inst,[status(thm)],[])).
% 5.22/4.06 tff(15912,plain,
% 5.22/4.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s195, s196)) | node18(s195, s196)),
% 5.22/4.06 inference(modus_ponens,[status(thm)],[15911, 15910])).
% 5.22/4.06 tff(15913,plain,
% 5.22/4.06 (node18(s195, s196)),
% 5.22/4.06 inference(unit_resolution,[status(thm)],[15912, 125, 15824])).
% 5.22/4.06 tff(15914,plain,
% 5.22/4.06 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s195, c_n1)) | (~m_main_v_state2(s195, c_t2)) | (~node18(s195, s196)) | m_main_v_turn(s196, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s195, c_n1)) | (~m_main_v_state2(s195, c_t2)) | (~node18(s195, s196)) | m_main_v_turn(s196, c_2))),
% 5.22/4.06 inference(rewrite,[status(thm)],[])).
% 5.22/4.06 tff(15915,plain,
% 5.22/4.06 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s195, c_n1)) | (~m_main_v_state2(s195, c_t2)) | (~node18(s195, s196)) | m_main_v_turn(s196, c_2))),
% 5.22/4.06 inference(quant_inst,[status(thm)],[])).
% 5.22/4.06 tff(15916,plain,
% 5.22/4.06 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s195, c_n1)) | (~m_main_v_state2(s195, c_t2)) | (~node18(s195, s196)) | m_main_v_turn(s196, c_2)),
% 5.22/4.06 inference(modus_ponens,[status(thm)],[15915, 15914])).
% 5.22/4.06 tff(15917,plain,
% 5.22/4.06 ((~m_main_v_state1(s195, c_n1)) | (~m_main_v_state2(s195, c_t2)) | m_main_v_turn(s196, c_2)),
% 5.22/4.06 inference(unit_resolution,[status(thm)],[15916, 760, 15913])).
% 5.22/4.06 tff(15918,plain,
% 5.22/4.06 (m_main_v_turn(s196, c_2)),
% 5.22/4.06 inference(unit_resolution,[status(thm)],[15917, 15777, 15813])).
% 5.22/4.06 tff(15919,plain,
% 5.22/4.06 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s196, c_1)) | (~m_main_v_turn(s196, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s196, c_1)) | (~m_main_v_turn(s196, c_2)))),
% 5.22/4.06 inference(rewrite,[status(thm)],[])).
% 5.22/4.06 tff(15920,plain,
% 5.22/4.06 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s196, c_1)) | (~m_main_v_turn(s196, c_2)))),
% 5.22/4.06 inference(quant_inst,[status(thm)],[])).
% 5.22/4.06 tff(15921,plain,
% 5.22/4.06 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s196, c_1)) | (~m_main_v_turn(s196, c_2))),
% 5.22/4.06 inference(modus_ponens,[status(thm)],[15920, 15919])).
% 5.22/4.06 tff(15922,plain,
% 5.22/4.06 (~m_main_v_turn(s196, c_1)),
% 5.22/4.06 inference(unit_resolution,[status(thm)],[15921, 156, 15918])).
% 5.22/4.06 tff(15923,plain,
% 5.22/4.06 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s196, c_1) | (~node5(s196)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s196, c_1) | (~node5(s196)))),
% 5.22/4.06 inference(rewrite,[status(thm)],[])).
% 5.22/4.06 tff(15924,plain,
% 5.22/4.06 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s196, c_1) | (~node5(s196)))),
% 5.22/4.06 inference(quant_inst,[status(thm)],[])).
% 5.22/4.06 tff(15925,plain,
% 5.22/4.06 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s196, c_1) | (~node5(s196))),
% 5.22/4.06 inference(modus_ponens,[status(thm)],[15924, 15923])).
% 5.22/4.06 tff(15926,plain,
% 5.22/4.06 (~node5(s196)),
% 5.22/4.06 inference(unit_resolution,[status(thm)],[15925, 776, 15922])).
% 5.22/4.06 tff(15927,plain,
% 5.22/4.06 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s196, c_n1) | (~node2(s196)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s196, c_n1) | (~node2(s196)))),
% 5.22/4.06 inference(rewrite,[status(thm)],[])).
% 5.22/4.06 tff(15928,plain,
% 5.22/4.06 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s196, c_n1) | (~node2(s196)))),
% 5.22/4.06 inference(quant_inst,[status(thm)],[])).
% 5.22/4.06 tff(15929,plain,
% 5.22/4.06 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s196, c_n1) | (~node2(s196))),
% 5.22/4.06 inference(modus_ponens,[status(thm)],[15928, 15927])).
% 5.22/4.06 tff(15930,plain,
% 5.22/4.06 (~node2(s196)),
% 5.22/4.06 inference(unit_resolution,[status(thm)],[15929, 787, 15854])).
% 5.22/4.06 tff(15931,plain,
% 5.22/4.06 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s196, c_n1) | (~node3(s196)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s196, c_n1) | (~node3(s196)))),
% 5.22/4.06 inference(rewrite,[status(thm)],[])).
% 5.22/4.06 tff(15932,plain,
% 5.22/4.06 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s196, c_n1) | (~node3(s196)))),
% 5.22/4.06 inference(quant_inst,[status(thm)],[])).
% 5.22/4.06 tff(15933,plain,
% 5.22/4.06 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s196, c_n1) | (~node3(s196))),
% 5.22/4.06 inference(modus_ponens,[status(thm)],[15932, 15931])).
% 5.22/4.06 tff(15934,plain,
% 5.22/4.06 (~node3(s196)),
% 5.22/4.06 inference(unit_resolution,[status(thm)],[15933, 798, 15854])).
% 5.22/4.06 tff(15935,plain,
% 5.22/4.06 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s196, c_n2) | (~node4(s196)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s196, c_n2) | (~node4(s196)))),
% 5.22/4.06 inference(rewrite,[status(thm)],[])).
% 5.22/4.06 tff(15936,plain,
% 5.22/4.06 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s196, c_n2) | (~node4(s196)))),
% 5.22/4.06 inference(quant_inst,[status(thm)],[])).
% 5.22/4.06 tff(15937,plain,
% 5.22/4.06 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s196, c_n2) | (~node4(s196))),
% 5.22/4.06 inference(modus_ponens,[status(thm)],[15936, 15935])).
% 5.22/4.06 tff(15938,plain,
% 5.22/4.06 (~node4(s196)),
% 5.22/4.06 inference(unit_resolution,[status(thm)],[15937, 388, 15874])).
% 5.22/4.06 tff(15939,plain,
% 5.22/4.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s196, s197)) | node7(s196, s197))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s196, s197)) | node7(s196, s197))),
% 5.22/4.06 inference(rewrite,[status(thm)],[])).
% 5.22/4.06 tff(15940,plain,
% 5.22/4.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s196, s197)) | node7(s196, s197))),
% 5.22/4.06 inference(quant_inst,[status(thm)],[])).
% 5.22/4.06 tff(15941,plain,
% 5.22/4.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s196, s197)) | node7(s196, s197)),
% 5.22/4.06 inference(modus_ponens,[status(thm)],[15940, 15939])).
% 5.22/4.06 tff(15942,plain,
% 5.22/4.06 (node7(s196, s197)),
% 5.22/4.06 inference(unit_resolution,[status(thm)],[15941, 206, 15885])).
% 5.22/4.06 tff(15943,plain,
% 5.22/4.06 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s196, c_c1) | node1(s196) | node2(s196) | node3(s196) | node4(s196) | node5(s196) | node6(s196, s197) | (~node7(s196, s197)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s196, c_c1) | node1(s196) | node2(s196) | node3(s196) | node4(s196) | node5(s196) | node6(s196, s197) | (~node7(s196, s197)))),
% 5.22/4.06 inference(rewrite,[status(thm)],[])).
% 5.22/4.06 tff(15944,plain,
% 5.22/4.06 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s196, c_c1) | node1(s196) | node2(s196) | node3(s196) | node4(s196) | node5(s196) | node6(s196, s197) | (~node7(s196, s197)))),
% 5.22/4.06 inference(quant_inst,[status(thm)],[])).
% 5.22/4.06 tff(15945,plain,
% 5.22/4.06 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s196, c_c1) | node1(s196) | node2(s196) | node3(s196) | node4(s196) | node5(s196) | node6(s196, s197) | (~node7(s196, s197))),
% 5.22/4.06 inference(modus_ponens,[status(thm)],[15944, 15943])).
% 5.22/4.06 tff(15946,plain,
% 5.22/4.06 (m_main_v_state1(s196, c_c1) | node1(s196) | node2(s196) | node3(s196) | node4(s196) | node5(s196) | node6(s196, s197)),
% 5.22/4.06 inference(unit_resolution,[status(thm)],[15945, 820, 15942])).
% 5.22/4.06 tff(15947,plain,
% 5.22/4.06 (node6(s196, s197)),
% 5.22/4.06 inference(unit_resolution,[status(thm)],[15946, 15938, 15862, 15934, 15930, 15926, 15909])).
% 5.22/4.06 tff(15948,plain,
% 5.22/4.06 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s196, c_n1) | (~m_main_v_state1(s197, c_n1)) | (~node6(s196, s197)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s196, c_n1) | (~m_main_v_state1(s197, c_n1)) | (~node6(s196, s197)))),
% 5.22/4.06 inference(rewrite,[status(thm)],[])).
% 5.22/4.06 tff(15949,plain,
% 5.22/4.06 (((~node6(s196, s197)) | m_main_v_state1(s196, c_n1) | (~m_main_v_state1(s197, c_n1))) <=> (m_main_v_state1(s196, c_n1) | (~m_main_v_state1(s197, c_n1)) | (~node6(s196, s197)))),
% 5.22/4.06 inference(rewrite,[status(thm)],[])).
% 5.22/4.06 tff(15950,plain,
% 5.22/4.06 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s196, s197)) | m_main_v_state1(s196, c_n1) | (~m_main_v_state1(s197, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s196, c_n1) | (~m_main_v_state1(s197, c_n1)) | (~node6(s196, s197))))),
% 5.22/4.06 inference(monotonicity,[status(thm)],[15949])).
% 5.22/4.06 tff(15951,plain,
% 5.22/4.06 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s196, s197)) | m_main_v_state1(s196, c_n1) | (~m_main_v_state1(s197, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s196, c_n1) | (~m_main_v_state1(s197, c_n1)) | (~node6(s196, s197)))),
% 5.22/4.06 inference(transitivity,[status(thm)],[15950, 15948])).
% 5.22/4.06 tff(15952,plain,
% 5.22/4.06 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s196, s197)) | m_main_v_state1(s196, c_n1) | (~m_main_v_state1(s197, c_n1)))),
% 5.22/4.06 inference(quant_inst,[status(thm)],[])).
% 5.22/4.06 tff(15953,plain,
% 5.22/4.06 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s196, c_n1) | (~m_main_v_state1(s197, c_n1)) | (~node6(s196, s197))),
% 5.22/4.06 inference(modus_ponens,[status(thm)],[15952, 15951])).
% 5.22/4.06 tff(15954,plain,
% 5.22/4.06 (~m_main_v_state1(s197, c_n1)),
% 5.22/4.06 inference(unit_resolution,[status(thm)],[15953, 835, 15854, 15947])).
% 5.22/4.06 tff(15955,plain,
% 5.22/4.06 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s197, c_n1) | (~node2(s197)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s197, c_n1) | (~node2(s197)))),
% 5.22/4.06 inference(rewrite,[status(thm)],[])).
% 5.22/4.06 tff(15956,plain,
% 5.22/4.06 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s197, c_n1) | (~node2(s197)))),
% 5.22/4.06 inference(quant_inst,[status(thm)],[])).
% 5.22/4.06 tff(15957,plain,
% 5.22/4.06 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s197, c_n1) | (~node2(s197))),
% 5.22/4.06 inference(modus_ponens,[status(thm)],[15956, 15955])).
% 5.22/4.06 tff(15958,plain,
% 5.22/4.06 (~node2(s197)),
% 5.22/4.06 inference(unit_resolution,[status(thm)],[15957, 787, 15954])).
% 5.22/4.06 tff(15959,plain,
% 5.22/4.06 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s196, c_t1)) | m_main_v_state1(s197, c_t1) | (~node6(s196, s197)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s196, c_t1)) | m_main_v_state1(s197, c_t1) | (~node6(s196, s197)))),
% 5.22/4.07 inference(rewrite,[status(thm)],[])).
% 5.22/4.07 tff(15960,plain,
% 5.22/4.07 (((~node6(s196, s197)) | (~m_main_v_state1(s196, c_t1)) | m_main_v_state1(s197, c_t1)) <=> ((~m_main_v_state1(s196, c_t1)) | m_main_v_state1(s197, c_t1) | (~node6(s196, s197)))),
% 5.22/4.07 inference(rewrite,[status(thm)],[])).
% 5.22/4.07 tff(15961,plain,
% 5.22/4.07 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s196, s197)) | (~m_main_v_state1(s196, c_t1)) | m_main_v_state1(s197, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s196, c_t1)) | m_main_v_state1(s197, c_t1) | (~node6(s196, s197))))),
% 5.22/4.07 inference(monotonicity,[status(thm)],[15960])).
% 5.22/4.07 tff(15962,plain,
% 5.22/4.07 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s196, s197)) | (~m_main_v_state1(s196, c_t1)) | m_main_v_state1(s197, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s196, c_t1)) | m_main_v_state1(s197, c_t1) | (~node6(s196, s197)))),
% 5.22/4.07 inference(transitivity,[status(thm)],[15961, 15959])).
% 5.22/4.07 tff(15963,plain,
% 5.22/4.07 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s196, s197)) | (~m_main_v_state1(s196, c_t1)) | m_main_v_state1(s197, c_t1))),
% 5.22/4.07 inference(quant_inst,[status(thm)],[])).
% 5.22/4.07 tff(15964,plain,
% 5.22/4.07 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s196, c_t1)) | m_main_v_state1(s197, c_t1) | (~node6(s196, s197))),
% 5.22/4.07 inference(modus_ponens,[status(thm)],[15963, 15962])).
% 5.22/4.07 tff(15965,plain,
% 5.22/4.07 (m_main_v_state1(s197, c_t1)),
% 5.22/4.07 inference(unit_resolution,[status(thm)],[15964, 856, 15850, 15947])).
% 5.22/4.07 tff(15966,plain,
% 5.22/4.07 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s197, c_n2)) | (~m_main_v_state2(s197, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s197, c_n2)) | (~m_main_v_state2(s197, c_t2)))),
% 5.22/4.07 inference(rewrite,[status(thm)],[])).
% 5.22/4.07 tff(15967,plain,
% 5.22/4.07 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s197, c_n2)) | (~m_main_v_state2(s197, c_t2)))),
% 5.22/4.07 inference(quant_inst,[status(thm)],[])).
% 5.22/4.07 tff(15968,plain,
% 5.22/4.07 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s197, c_n2)) | (~m_main_v_state2(s197, c_t2))),
% 5.22/4.07 inference(modus_ponens,[status(thm)],[15967, 15966])).
% 5.22/4.07 tff(15969,plain,
% 5.22/4.07 (~m_main_v_state2(s197, c_t2)),
% 5.22/4.07 inference(unit_resolution,[status(thm)],[15968, 77, 15897])).
% 5.22/4.07 tff(15970,plain,
% 5.22/4.07 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s197, c_t2) | (~node1(s197)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s197, c_t2) | (~node1(s197)))),
% 5.22/4.07 inference(rewrite,[status(thm)],[])).
% 5.22/4.07 tff(15971,plain,
% 5.22/4.07 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s197, c_t2) | (~node1(s197)))),
% 5.22/4.07 inference(quant_inst,[status(thm)],[])).
% 5.22/4.07 tff(15972,plain,
% 5.22/4.07 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s197, c_t2) | (~node1(s197))),
% 5.22/4.07 inference(modus_ponens,[status(thm)],[15971, 15970])).
% 5.22/4.07 tff(15973,plain,
% 5.22/4.07 (~node1(s197)),
% 5.22/4.07 inference(unit_resolution,[status(thm)],[15972, 195, 15969])).
% 5.22/4.07 tff(15974,plain,
% 5.22/4.07 (succ(s197, s198) <=> succ(s197, s198)),
% 5.22/4.07 inference(rewrite,[status(thm)],[])).
% 5.22/4.07 tff(15975,axiom,(succ(s197, s198)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound198')).
% 5.22/4.07 tff(15976,plain,
% 5.22/4.07 (succ(s197, s198)),
% 5.22/4.07 inference(modus_ponens,[status(thm)],[15975, 15974])).
% 5.22/4.07 tff(15977,plain,
% 5.22/4.07 (((~![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))),
% 5.22/4.07 inference(rewrite,[status(thm)],[])).
% 5.22/4.07 tff(15978,plain,
% 5.22/4.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s197, s198)) | trans(s197, s198))),
% 5.22/4.07 inference(quant_inst,[status(thm)],[])).
% 5.22/4.07 tff(15979,plain,
% 5.22/4.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s197, s198)) | trans(s197, s198)),
% 5.22/4.07 inference(modus_ponens,[status(thm)],[15978, 15977])).
% 5.22/4.07 tff(15980,plain,
% 5.22/4.07 (trans(s197, s198)),
% 5.22/4.07 inference(unit_resolution,[status(thm)],[15979, 15976, 32])).
% 5.22/4.07 tff(15981,plain,
% 5.22/4.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s197, s198)) | node7(s197, s198))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s197, s198)) | node7(s197, s198))),
% 5.22/4.07 inference(rewrite,[status(thm)],[])).
% 5.22/4.07 tff(15982,plain,
% 5.22/4.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s197, s198)) | node7(s197, s198))),
% 5.22/4.07 inference(quant_inst,[status(thm)],[])).
% 5.22/4.07 tff(15983,plain,
% 5.22/4.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s197, s198)) | node7(s197, s198)),
% 5.22/4.07 inference(modus_ponens,[status(thm)],[15982, 15981])).
% 5.22/4.07 tff(15984,plain,
% 5.22/4.07 (node7(s197, s198)),
% 5.22/4.07 inference(unit_resolution,[status(thm)],[15983, 206, 15980])).
% 5.22/4.07 tff(15985,plain,
% 5.22/4.07 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s197, c_t1)) | (~m_main_v_state2(s197, c_n2)) | m_main_v_state1(s198, c_c1) | node1(s197) | node2(s197) | node3(s197) | (~node7(s197, s198)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s197, c_t1)) | (~m_main_v_state2(s197, c_n2)) | m_main_v_state1(s198, c_c1) | node1(s197) | node2(s197) | node3(s197) | (~node7(s197, s198)))),
% 5.22/4.07 inference(rewrite,[status(thm)],[])).
% 5.22/4.07 tff(15986,plain,
% 5.22/4.07 (((~m_main_v_state1(s197, c_t1)) | (~m_main_v_state2(s197, c_n2)) | node1(s197) | node2(s197) | node3(s197) | (~node7(s197, s198)) | m_main_v_state1(s198, c_c1)) <=> ((~m_main_v_state1(s197, c_t1)) | (~m_main_v_state2(s197, c_n2)) | m_main_v_state1(s198, c_c1) | node1(s197) | node2(s197) | node3(s197) | (~node7(s197, s198)))),
% 5.22/4.07 inference(rewrite,[status(thm)],[])).
% 5.22/4.07 tff(15987,plain,
% 5.22/4.07 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s197, c_t1)) | (~m_main_v_state2(s197, c_n2)) | node1(s197) | node2(s197) | node3(s197) | (~node7(s197, s198)) | m_main_v_state1(s198, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s197, c_t1)) | (~m_main_v_state2(s197, c_n2)) | m_main_v_state1(s198, c_c1) | node1(s197) | node2(s197) | node3(s197) | (~node7(s197, s198))))),
% 5.22/4.07 inference(monotonicity,[status(thm)],[15986])).
% 5.22/4.07 tff(15988,plain,
% 5.22/4.07 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s197, c_t1)) | (~m_main_v_state2(s197, c_n2)) | node1(s197) | node2(s197) | node3(s197) | (~node7(s197, s198)) | m_main_v_state1(s198, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s197, c_t1)) | (~m_main_v_state2(s197, c_n2)) | m_main_v_state1(s198, c_c1) | node1(s197) | node2(s197) | node3(s197) | (~node7(s197, s198)))),
% 5.22/4.07 inference(transitivity,[status(thm)],[15987, 15985])).
% 5.22/4.07 tff(15989,plain,
% 5.22/4.07 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s197, c_t1)) | (~m_main_v_state2(s197, c_n2)) | node1(s197) | node2(s197) | node3(s197) | (~node7(s197, s198)) | m_main_v_state1(s198, c_c1))),
% 5.22/4.07 inference(quant_inst,[status(thm)],[])).
% 5.22/4.07 tff(15990,plain,
% 5.22/4.07 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s197, c_t1)) | (~m_main_v_state2(s197, c_n2)) | m_main_v_state1(s198, c_c1) | node1(s197) | node2(s197) | node3(s197) | (~node7(s197, s198))),
% 5.22/4.07 inference(modus_ponens,[status(thm)],[15989, 15988])).
% 5.22/4.07 tff(15991,plain,
% 5.22/4.07 ((~m_main_v_state1(s197, c_t1)) | (~m_main_v_state2(s197, c_n2)) | m_main_v_state1(s198, c_c1) | node1(s197) | node2(s197) | node3(s197)),
% 5.22/4.07 inference(unit_resolution,[status(thm)],[15990, 892, 15984])).
% 5.22/4.07 tff(15992,plain,
% 5.22/4.07 (m_main_v_state1(s198, c_c1)),
% 5.22/4.07 inference(unit_resolution,[status(thm)],[15991, 15973, 15897, 15965, 15958, 15905])).
% 5.22/4.07 tff(15993,plain,
% 5.22/4.07 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s198, c_t1)) | (~m_main_v_state1(s198, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s198, c_t1)) | (~m_main_v_state1(s198, c_c1)))),
% 5.22/4.07 inference(rewrite,[status(thm)],[])).
% 5.22/4.07 tff(15994,plain,
% 5.22/4.07 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s198, c_t1)) | (~m_main_v_state1(s198, c_c1)))),
% 5.22/4.07 inference(quant_inst,[status(thm)],[])).
% 5.22/4.07 tff(15995,plain,
% 5.22/4.07 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s198, c_t1)) | (~m_main_v_state1(s198, c_c1))),
% 5.22/4.07 inference(modus_ponens,[status(thm)],[15994, 15993])).
% 5.22/4.07 tff(15996,plain,
% 5.22/4.07 (~m_main_v_state1(s198, c_t1)),
% 5.22/4.07 inference(unit_resolution,[status(thm)],[15995, 539, 15992])).
% 5.22/4.07 tff(15997,plain,
% 5.22/4.07 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s198, c_t1) | (~node5(s198)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s198, c_t1) | (~node5(s198)))),
% 5.22/4.07 inference(rewrite,[status(thm)],[])).
% 5.22/4.07 tff(15998,plain,
% 5.22/4.07 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s198, c_t1) | (~node5(s198)))),
% 5.22/4.07 inference(quant_inst,[status(thm)],[])).
% 5.22/4.07 tff(15999,plain,
% 5.22/4.07 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s198, c_t1) | (~node5(s198))),
% 5.22/4.07 inference(modus_ponens,[status(thm)],[15998, 15997])).
% 5.22/4.07 tff(16000,plain,
% 5.22/4.07 (~node5(s198)),
% 5.22/4.07 inference(unit_resolution,[status(thm)],[15999, 550, 15996])).
% 5.22/4.07 tff(16001,plain,
% 5.22/4.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s197, s198)) | node14(s197, s198))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s197, s198)) | node14(s197, s198))),
% 5.22/4.07 inference(rewrite,[status(thm)],[])).
% 5.22/4.07 tff(16002,plain,
% 5.22/4.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s197, s198)) | node14(s197, s198))),
% 5.22/4.07 inference(quant_inst,[status(thm)],[])).
% 5.22/4.07 tff(16003,plain,
% 5.22/4.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s197, s198)) | node14(s197, s198)),
% 5.22/4.07 inference(modus_ponens,[status(thm)],[16002, 16001])).
% 5.22/4.07 tff(16004,plain,
% 5.22/4.07 (node14(s197, s198)),
% 5.22/4.07 inference(unit_resolution,[status(thm)],[16003, 46, 15980])).
% 5.22/4.07 tff(16005,plain,
% 5.22/4.07 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s197, c_t1)) | (~m_main_v_state2(s197, c_n2)) | (~node14(s197, s198)) | m_main_v_state2(s198, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s197, c_t1)) | (~m_main_v_state2(s197, c_n2)) | (~node14(s197, s198)) | m_main_v_state2(s198, c_t2))),
% 5.22/4.07 inference(rewrite,[status(thm)],[])).
% 5.22/4.07 tff(16006,plain,
% 5.22/4.07 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s197, c_t1)) | (~m_main_v_state2(s197, c_n2)) | (~node14(s197, s198)) | m_main_v_state2(s198, c_t2))),
% 5.22/4.07 inference(quant_inst,[status(thm)],[])).
% 5.22/4.07 tff(16007,plain,
% 5.22/4.07 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s197, c_t1)) | (~m_main_v_state2(s197, c_n2)) | (~node14(s197, s198)) | m_main_v_state2(s198, c_t2)),
% 5.22/4.07 inference(modus_ponens,[status(thm)],[16006, 16005])).
% 5.22/4.07 tff(16008,plain,
% 5.22/4.07 ((~m_main_v_state1(s197, c_t1)) | (~m_main_v_state2(s197, c_n2)) | m_main_v_state2(s198, c_t2)),
% 5.22/4.07 inference(unit_resolution,[status(thm)],[16007, 922, 16004])).
% 5.22/4.07 tff(16009,plain,
% 5.22/4.07 (m_main_v_state2(s198, c_t2)),
% 5.22/4.07 inference(unit_resolution,[status(thm)],[16008, 15965, 15897])).
% 5.22/4.07 tff(16010,plain,
% 5.22/4.07 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s198, c_n2)) | (~m_main_v_state2(s198, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s198, c_n2)) | (~m_main_v_state2(s198, c_t2)))),
% 5.22/4.07 inference(rewrite,[status(thm)],[])).
% 5.22/4.07 tff(16011,plain,
% 5.22/4.07 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s198, c_n2)) | (~m_main_v_state2(s198, c_t2)))),
% 5.22/4.07 inference(quant_inst,[status(thm)],[])).
% 5.22/4.07 tff(16012,plain,
% 5.22/4.07 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s198, c_n2)) | (~m_main_v_state2(s198, c_t2))),
% 5.22/4.07 inference(modus_ponens,[status(thm)],[16011, 16010])).
% 5.22/4.07 tff(16013,plain,
% 5.22/4.07 (~m_main_v_state2(s198, c_n2)),
% 5.22/4.07 inference(unit_resolution,[status(thm)],[16012, 77, 16009])).
% 5.22/4.07 tff(16014,plain,
% 5.22/4.07 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s198, c_n2) | (~node4(s198)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s198, c_n2) | (~node4(s198)))),
% 5.22/4.07 inference(rewrite,[status(thm)],[])).
% 5.22/4.07 tff(16015,plain,
% 5.22/4.07 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s198, c_n2) | (~node4(s198)))),
% 5.22/4.07 inference(quant_inst,[status(thm)],[])).
% 5.22/4.07 tff(16016,plain,
% 5.22/4.07 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s198, c_n2) | (~node4(s198))),
% 5.22/4.07 inference(modus_ponens,[status(thm)],[16015, 16014])).
% 5.22/4.07 tff(16017,plain,
% 5.22/4.07 (~node4(s198)),
% 5.22/4.07 inference(unit_resolution,[status(thm)],[16016, 388, 16013])).
% 5.22/4.07 tff(16018,plain,
% 5.22/4.07 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s198, c_t2)) | (~m_main_v_state2(s198, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s198, c_t2)) | (~m_main_v_state2(s198, c_c2)))),
% 5.22/4.07 inference(rewrite,[status(thm)],[])).
% 5.22/4.07 tff(16019,plain,
% 5.22/4.07 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s198, c_t2)) | (~m_main_v_state2(s198, c_c2)))),
% 5.22/4.07 inference(quant_inst,[status(thm)],[])).
% 5.22/4.07 tff(16020,plain,
% 5.22/4.07 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s198, c_t2)) | (~m_main_v_state2(s198, c_c2))),
% 5.22/4.07 inference(modus_ponens,[status(thm)],[16019, 16018])).
% 5.22/4.07 tff(16021,plain,
% 5.22/4.07 (~m_main_v_state2(s198, c_c2)),
% 5.22/4.07 inference(unit_resolution,[status(thm)],[16020, 260, 16009])).
% 5.22/4.07 tff(16022,plain,
% 5.22/4.07 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s198, c_c2) | (~node3(s198)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s198, c_c2) | (~node3(s198)))),
% 5.22/4.07 inference(rewrite,[status(thm)],[])).
% 5.22/4.07 tff(16023,plain,
% 5.22/4.07 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s198, c_c2) | (~node3(s198)))),
% 5.22/4.07 inference(quant_inst,[status(thm)],[])).
% 5.22/4.07 tff(16024,plain,
% 5.22/4.07 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s198, c_c2) | (~node3(s198))),
% 5.22/4.07 inference(modus_ponens,[status(thm)],[16023, 16022])).
% 5.22/4.07 tff(16025,plain,
% 5.22/4.07 (~node3(s198)),
% 5.22/4.07 inference(unit_resolution,[status(thm)],[16024, 399, 16021])).
% 5.22/4.07 tff(16026,plain,
% 5.22/4.07 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s198, c_n2) | (~node2(s198)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s198, c_n2) | (~node2(s198)))),
% 5.22/4.07 inference(rewrite,[status(thm)],[])).
% 5.22/4.07 tff(16027,plain,
% 5.22/4.07 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s198, c_n2) | (~node2(s198)))),
% 5.22/4.07 inference(quant_inst,[status(thm)],[])).
% 5.22/4.07 tff(16028,plain,
% 5.22/4.07 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s198, c_n2) | (~node2(s198))),
% 5.22/4.07 inference(modus_ponens,[status(thm)],[16027, 16026])).
% 5.22/4.07 tff(16029,plain,
% 5.22/4.07 (~node2(s198)),
% 5.22/4.07 inference(unit_resolution,[status(thm)],[16028, 410, 16013])).
% 5.22/4.07 tff(16030,plain,
% 5.22/4.07 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s198, c_n1)) | (~m_main_v_state1(s198, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s198, c_n1)) | (~m_main_v_state1(s198, c_c1)))),
% 5.22/4.07 inference(rewrite,[status(thm)],[])).
% 5.22/4.07 tff(16031,plain,
% 5.22/4.07 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s198, c_n1)) | (~m_main_v_state1(s198, c_c1)))),
% 5.22/4.07 inference(quant_inst,[status(thm)],[])).
% 5.22/4.07 tff(16032,plain,
% 5.22/4.07 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s198, c_n1)) | (~m_main_v_state1(s198, c_c1))),
% 5.22/4.07 inference(modus_ponens,[status(thm)],[16031, 16030])).
% 5.22/4.07 tff(16033,plain,
% 5.22/4.07 (~m_main_v_state1(s198, c_n1)),
% 5.22/4.07 inference(unit_resolution,[status(thm)],[16032, 454, 15992])).
% 5.22/4.07 tff(16034,plain,
% 5.22/4.07 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s198, c_n1) | (~node1(s198)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s198, c_n1) | (~node1(s198)))),
% 5.22/4.07 inference(rewrite,[status(thm)],[])).
% 5.22/4.07 tff(16035,plain,
% 5.22/4.07 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s198, c_n1) | (~node1(s198)))),
% 5.22/4.07 inference(quant_inst,[status(thm)],[])).
% 5.22/4.07 tff(16036,plain,
% 5.22/4.07 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s198, c_n1) | (~node1(s198))),
% 5.22/4.07 inference(modus_ponens,[status(thm)],[16035, 16034])).
% 5.22/4.07 tff(16037,plain,
% 5.22/4.07 (~node1(s198)),
% 5.22/4.07 inference(unit_resolution,[status(thm)],[16036, 421, 16033])).
% 5.22/4.07 tff(16038,plain,
% 5.22/4.07 (succ(s198, s199) <=> succ(s198, s199)),
% 5.22/4.07 inference(rewrite,[status(thm)],[])).
% 5.22/4.07 tff(16039,axiom,(succ(s198, s199)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound199')).
% 5.22/4.07 tff(16040,plain,
% 5.22/4.07 (succ(s198, s199)),
% 5.22/4.07 inference(modus_ponens,[status(thm)],[16039, 16038])).
% 5.22/4.07 tff(16041,plain,
% 5.22/4.07 (((~![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))),
% 5.22/4.07 inference(rewrite,[status(thm)],[])).
% 5.22/4.07 tff(16042,plain,
% 5.22/4.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s198, s199)) | trans(s198, s199))),
% 5.22/4.07 inference(quant_inst,[status(thm)],[])).
% 5.22/4.07 tff(16043,plain,
% 5.22/4.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s198, s199)) | trans(s198, s199)),
% 5.22/4.07 inference(modus_ponens,[status(thm)],[16042, 16041])).
% 5.22/4.07 tff(16044,plain,
% 5.22/4.07 (trans(s198, s199)),
% 5.22/4.07 inference(unit_resolution,[status(thm)],[16043, 16040, 32])).
% 5.22/4.07 tff(16045,plain,
% 5.22/4.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s198, s199)) | node7(s198, s199))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s198, s199)) | node7(s198, s199))),
% 5.22/4.07 inference(rewrite,[status(thm)],[])).
% 5.22/4.07 tff(16046,plain,
% 5.22/4.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s198, s199)) | node7(s198, s199))),
% 5.22/4.07 inference(quant_inst,[status(thm)],[])).
% 5.22/4.07 tff(16047,plain,
% 5.22/4.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s198, s199)) | node7(s198, s199)),
% 5.22/4.07 inference(modus_ponens,[status(thm)],[16046, 16045])).
% 5.22/4.07 tff(16048,plain,
% 5.22/4.07 (node7(s198, s199)),
% 5.22/4.07 inference(unit_resolution,[status(thm)],[16047, 206, 16044])).
% 5.22/4.07 tff(16049,plain,
% 5.22/4.07 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s199, c_n1) | (~m_main_v_state1(s198, c_c1)) | node1(s198) | node2(s198) | node3(s198) | node4(s198) | node5(s198) | (~node7(s198, s199)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s199, c_n1) | (~m_main_v_state1(s198, c_c1)) | node1(s198) | node2(s198) | node3(s198) | node4(s198) | node5(s198) | (~node7(s198, s199)))),
% 5.22/4.07 inference(rewrite,[status(thm)],[])).
% 5.22/4.07 tff(16050,plain,
% 5.22/4.07 (((~m_main_v_state1(s198, c_c1)) | node1(s198) | node2(s198) | node3(s198) | node4(s198) | node5(s198) | (~node7(s198, s199)) | m_main_v_state1(s199, c_n1)) <=> (m_main_v_state1(s199, c_n1) | (~m_main_v_state1(s198, c_c1)) | node1(s198) | node2(s198) | node3(s198) | node4(s198) | node5(s198) | (~node7(s198, s199)))),
% 5.22/4.07 inference(rewrite,[status(thm)],[])).
% 5.22/4.07 tff(16051,plain,
% 5.22/4.07 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s198, c_c1)) | node1(s198) | node2(s198) | node3(s198) | node4(s198) | node5(s198) | (~node7(s198, s199)) | m_main_v_state1(s199, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s199, c_n1) | (~m_main_v_state1(s198, c_c1)) | node1(s198) | node2(s198) | node3(s198) | node4(s198) | node5(s198) | (~node7(s198, s199))))),
% 5.22/4.07 inference(monotonicity,[status(thm)],[16050])).
% 5.22/4.07 tff(16052,plain,
% 5.22/4.07 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s198, c_c1)) | node1(s198) | node2(s198) | node3(s198) | node4(s198) | node5(s198) | (~node7(s198, s199)) | m_main_v_state1(s199, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s199, c_n1) | (~m_main_v_state1(s198, c_c1)) | node1(s198) | node2(s198) | node3(s198) | node4(s198) | node5(s198) | (~node7(s198, s199)))),
% 5.22/4.07 inference(transitivity,[status(thm)],[16051, 16049])).
% 5.22/4.07 tff(16053,plain,
% 5.22/4.07 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s198, c_c1)) | node1(s198) | node2(s198) | node3(s198) | node4(s198) | node5(s198) | (~node7(s198, s199)) | m_main_v_state1(s199, c_n1))),
% 5.22/4.07 inference(quant_inst,[status(thm)],[])).
% 5.22/4.07 tff(16054,plain,
% 5.22/4.07 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s199, c_n1) | (~m_main_v_state1(s198, c_c1)) | node1(s198) | node2(s198) | node3(s198) | node4(s198) | node5(s198) | (~node7(s198, s199))),
% 5.22/4.07 inference(modus_ponens,[status(thm)],[16053, 16052])).
% 5.22/4.07 tff(16055,plain,
% 5.22/4.07 (m_main_v_state1(s199, c_n1) | (~m_main_v_state1(s198, c_c1)) | node1(s198) | node2(s198) | node3(s198) | node4(s198) | node5(s198)),
% 5.22/4.07 inference(unit_resolution,[status(thm)],[16054, 584, 16048])).
% 5.22/4.07 tff(16056,plain,
% 5.22/4.07 (m_main_v_state1(s199, c_n1)),
% 5.22/4.07 inference(unit_resolution,[status(thm)],[16055, 16037, 15992, 16029, 16025, 16017, 16000])).
% 5.22/4.07 tff(16057,plain,
% 5.22/4.07 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s197, c_t2) | (~node15(s197)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s197, c_t2) | (~node15(s197)))),
% 5.22/4.07 inference(rewrite,[status(thm)],[])).
% 5.22/4.07 tff(16058,plain,
% 5.22/4.07 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s197, c_t2) | (~node15(s197)))),
% 5.22/4.07 inference(quant_inst,[status(thm)],[])).
% 5.22/4.07 tff(16059,plain,
% 5.22/4.08 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s197, c_t2) | (~node15(s197))),
% 5.22/4.08 inference(modus_ponens,[status(thm)],[16058, 16057])).
% 5.22/4.08 tff(16060,plain,
% 5.22/4.08 (~node15(s197)),
% 5.22/4.08 inference(unit_resolution,[status(thm)],[16059, 103, 15969])).
% 5.22/4.08 tff(16061,plain,
% 5.22/4.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s197, s198)) | node18(s197, s198))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s197, s198)) | node18(s197, s198))),
% 5.22/4.08 inference(rewrite,[status(thm)],[])).
% 5.22/4.08 tff(16062,plain,
% 5.22/4.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s197, s198)) | node18(s197, s198))),
% 5.22/4.08 inference(quant_inst,[status(thm)],[])).
% 5.22/4.08 tff(16063,plain,
% 5.22/4.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s197, s198)) | node18(s197, s198)),
% 5.22/4.08 inference(modus_ponens,[status(thm)],[16062, 16061])).
% 5.22/4.08 tff(16064,plain,
% 5.22/4.08 (node18(s197, s198)),
% 5.22/4.08 inference(unit_resolution,[status(thm)],[16063, 125, 15980])).
% 5.22/4.08 tff(16065,plain,
% 5.22/4.08 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s197) | (~node18(s197, s198)) | (~m_main_v_state1(s197, c_t1)) | (~m_main_v_state2(s197, c_n2)) | m_main_v_turn(s198, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s197) | (~node18(s197, s198)) | (~m_main_v_state1(s197, c_t1)) | (~m_main_v_state2(s197, c_n2)) | m_main_v_turn(s198, c_1))),
% 5.22/4.08 inference(rewrite,[status(thm)],[])).
% 5.22/4.08 tff(16066,plain,
% 5.22/4.08 (((~m_main_v_state1(s197, c_t1)) | (~m_main_v_state2(s197, c_n2)) | node15(s197) | (~node18(s197, s198)) | m_main_v_turn(s198, c_1)) <=> (node15(s197) | (~node18(s197, s198)) | (~m_main_v_state1(s197, c_t1)) | (~m_main_v_state2(s197, c_n2)) | m_main_v_turn(s198, c_1))),
% 5.22/4.08 inference(rewrite,[status(thm)],[])).
% 5.22/4.08 tff(16067,plain,
% 5.22/4.08 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s197, c_t1)) | (~m_main_v_state2(s197, c_n2)) | node15(s197) | (~node18(s197, s198)) | m_main_v_turn(s198, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s197) | (~node18(s197, s198)) | (~m_main_v_state1(s197, c_t1)) | (~m_main_v_state2(s197, c_n2)) | m_main_v_turn(s198, c_1)))),
% 5.22/4.08 inference(monotonicity,[status(thm)],[16066])).
% 5.22/4.08 tff(16068,plain,
% 5.22/4.08 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s197, c_t1)) | (~m_main_v_state2(s197, c_n2)) | node15(s197) | (~node18(s197, s198)) | m_main_v_turn(s198, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s197) | (~node18(s197, s198)) | (~m_main_v_state1(s197, c_t1)) | (~m_main_v_state2(s197, c_n2)) | m_main_v_turn(s198, c_1))),
% 5.22/4.08 inference(transitivity,[status(thm)],[16067, 16065])).
% 5.22/4.08 tff(16069,plain,
% 5.22/4.08 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s197, c_t1)) | (~m_main_v_state2(s197, c_n2)) | node15(s197) | (~node18(s197, s198)) | m_main_v_turn(s198, c_1))),
% 5.22/4.08 inference(quant_inst,[status(thm)],[])).
% 5.22/4.08 tff(16070,plain,
% 5.22/4.08 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s197) | (~node18(s197, s198)) | (~m_main_v_state1(s197, c_t1)) | (~m_main_v_state2(s197, c_n2)) | m_main_v_turn(s198, c_1)),
% 5.22/4.08 inference(modus_ponens,[status(thm)],[16069, 16068])).
% 5.22/4.08 tff(16071,plain,
% 5.22/4.08 (node15(s197) | (~m_main_v_state1(s197, c_t1)) | (~m_main_v_state2(s197, c_n2)) | m_main_v_turn(s198, c_1)),
% 5.22/4.08 inference(unit_resolution,[status(thm)],[16070, 992, 16064])).
% 5.22/4.08 tff(16072,plain,
% 5.22/4.08 (m_main_v_turn(s198, c_1)),
% 5.22/4.08 inference(unit_resolution,[status(thm)],[16071, 16060, 15897, 15965])).
% 5.22/4.08 tff(16073,plain,
% 5.22/4.08 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s198, c_1)) | (~m_main_v_turn(s198, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s198, c_1)) | (~m_main_v_turn(s198, c_2)))),
% 5.22/4.08 inference(rewrite,[status(thm)],[])).
% 5.22/4.08 tff(16074,plain,
% 5.22/4.08 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s198, c_1)) | (~m_main_v_turn(s198, c_2)))),
% 5.22/4.08 inference(quant_inst,[status(thm)],[])).
% 5.22/4.08 tff(16075,plain,
% 5.22/4.08 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s198, c_1)) | (~m_main_v_turn(s198, c_2))),
% 5.22/4.08 inference(modus_ponens,[status(thm)],[16074, 16073])).
% 5.22/4.08 tff(16076,plain,
% 5.22/4.08 (~m_main_v_turn(s198, c_2)),
% 5.22/4.08 inference(unit_resolution,[status(thm)],[16075, 156, 16072])).
% 5.22/4.08 tff(16077,plain,
% 5.22/4.08 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s198, c_2) | (~node12(s198)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s198, c_2) | (~node12(s198)))),
% 5.22/4.08 inference(rewrite,[status(thm)],[])).
% 5.22/4.08 tff(16078,plain,
% 5.22/4.08 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s198, c_2) | (~node12(s198)))),
% 5.22/4.08 inference(quant_inst,[status(thm)],[])).
% 5.22/4.08 tff(16079,plain,
% 5.22/4.08 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s198, c_2) | (~node12(s198))),
% 5.22/4.08 inference(modus_ponens,[status(thm)],[16078, 16077])).
% 5.22/4.08 tff(16080,plain,
% 5.22/4.08 (~node12(s198)),
% 5.22/4.08 inference(unit_resolution,[status(thm)],[16079, 184, 16076])).
% 5.22/4.08 tff(16081,plain,
% 5.22/4.08 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s198, c_n2) | (~node8(s198)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s198, c_n2) | (~node8(s198)))),
% 5.22/4.08 inference(rewrite,[status(thm)],[])).
% 5.22/4.08 tff(16082,plain,
% 5.22/4.08 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s198, c_n2) | (~node8(s198)))),
% 5.22/4.08 inference(quant_inst,[status(thm)],[])).
% 5.22/4.08 tff(16083,plain,
% 5.22/4.08 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s198, c_n2) | (~node8(s198))),
% 5.22/4.08 inference(modus_ponens,[status(thm)],[16082, 16081])).
% 5.22/4.08 tff(16084,plain,
% 5.22/4.08 (~node8(s198)),
% 5.22/4.08 inference(unit_resolution,[status(thm)],[16083, 271, 16013])).
% 5.22/4.08 tff(16085,plain,
% 5.22/4.08 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s198, c_n2) | (~node9(s198)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s198, c_n2) | (~node9(s198)))),
% 5.22/4.08 inference(rewrite,[status(thm)],[])).
% 5.22/4.08 tff(16086,plain,
% 5.22/4.08 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s198, c_n2) | (~node9(s198)))),
% 5.22/4.08 inference(quant_inst,[status(thm)],[])).
% 5.22/4.08 tff(16087,plain,
% 5.22/4.08 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s198, c_n2) | (~node9(s198))),
% 5.22/4.08 inference(modus_ponens,[status(thm)],[16086, 16085])).
% 5.22/4.08 tff(16088,plain,
% 5.22/4.08 (~node9(s198)),
% 5.22/4.08 inference(unit_resolution,[status(thm)],[16087, 88, 16013])).
% 5.22/4.08 tff(16089,plain,
% 5.22/4.08 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s198, c_n2) | (~node10(s198)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s198, c_n2) | (~node10(s198)))),
% 5.22/4.08 inference(rewrite,[status(thm)],[])).
% 5.22/4.08 tff(16090,plain,
% 5.22/4.08 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s198, c_n2) | (~node10(s198)))),
% 5.22/4.08 inference(quant_inst,[status(thm)],[])).
% 5.22/4.08 tff(16091,plain,
% 5.22/4.08 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s198, c_n2) | (~node10(s198))),
% 5.22/4.08 inference(modus_ponens,[status(thm)],[16090, 16089])).
% 5.22/4.08 tff(16092,plain,
% 5.22/4.08 (~node10(s198)),
% 5.22/4.08 inference(unit_resolution,[status(thm)],[16091, 249, 16013])).
% 5.22/4.08 tff(16093,plain,
% 5.22/4.08 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s198, c_n1) | (~node11(s198)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s198, c_n1) | (~node11(s198)))),
% 5.22/4.08 inference(rewrite,[status(thm)],[])).
% 5.22/4.08 tff(16094,plain,
% 5.22/4.08 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s198, c_n1) | (~node11(s198)))),
% 5.22/4.08 inference(quant_inst,[status(thm)],[])).
% 5.22/4.08 tff(16095,plain,
% 5.22/4.08 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s198, c_n1) | (~node11(s198))),
% 5.22/4.08 inference(modus_ponens,[status(thm)],[16094, 16093])).
% 5.22/4.08 tff(16096,plain,
% 5.22/4.08 (~node11(s198)),
% 5.22/4.08 inference(unit_resolution,[status(thm)],[16095, 238, 16033])).
% 5.22/4.08 tff(16097,plain,
% 5.22/4.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s198, s199)) | node14(s198, s199))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s198, s199)) | node14(s198, s199))),
% 5.22/4.08 inference(rewrite,[status(thm)],[])).
% 5.22/4.08 tff(16098,plain,
% 5.22/4.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s198, s199)) | node14(s198, s199))),
% 5.22/4.08 inference(quant_inst,[status(thm)],[])).
% 5.22/4.08 tff(16099,plain,
% 5.22/4.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s198, s199)) | node14(s198, s199)),
% 5.22/4.08 inference(modus_ponens,[status(thm)],[16098, 16097])).
% 5.22/4.08 tff(16100,plain,
% 5.22/4.08 (node14(s198, s199)),
% 5.22/4.08 inference(unit_resolution,[status(thm)],[16099, 46, 16044])).
% 5.22/4.08 tff(16101,plain,
% 5.22/4.08 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s198, c_c2) | node9(s198) | node8(s198) | node10(s198) | node11(s198) | node12(s198) | node13(s198, s199) | (~node14(s198, s199)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s198, c_c2) | node9(s198) | node8(s198) | node10(s198) | node11(s198) | node12(s198) | node13(s198, s199) | (~node14(s198, s199)))),
% 5.22/4.08 inference(rewrite,[status(thm)],[])).
% 5.22/4.08 tff(16102,plain,
% 5.22/4.08 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s198, c_c2) | node9(s198) | node8(s198) | node10(s198) | node11(s198) | node12(s198) | node13(s198, s199) | (~node14(s198, s199)))),
% 5.22/4.08 inference(quant_inst,[status(thm)],[])).
% 5.22/4.08 tff(16103,plain,
% 5.22/4.08 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s198, c_c2) | node9(s198) | node8(s198) | node10(s198) | node11(s198) | node12(s198) | node13(s198, s199) | (~node14(s198, s199))),
% 5.22/4.08 inference(modus_ponens,[status(thm)],[16102, 16101])).
% 5.22/4.08 tff(16104,plain,
% 5.22/4.08 (m_main_v_state2(s198, c_c2) | node9(s198) | node8(s198) | node10(s198) | node11(s198) | node12(s198) | node13(s198, s199)),
% 5.22/4.08 inference(unit_resolution,[status(thm)],[16103, 296, 16100])).
% 5.22/4.08 tff(16105,plain,
% 5.22/4.08 (node13(s198, s199)),
% 5.22/4.08 inference(unit_resolution,[status(thm)],[16104, 16096, 16021, 16092, 16088, 16084, 16080])).
% 5.22/4.08 tff(16106,plain,
% 5.22/4.08 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s198, c_t2)) | m_main_v_state2(s199, c_t2) | (~node13(s198, s199)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s198, c_t2)) | m_main_v_state2(s199, c_t2) | (~node13(s198, s199)))),
% 5.22/4.08 inference(rewrite,[status(thm)],[])).
% 5.22/4.08 tff(16107,plain,
% 5.22/4.08 (((~node13(s198, s199)) | (~m_main_v_state2(s198, c_t2)) | m_main_v_state2(s199, c_t2)) <=> ((~m_main_v_state2(s198, c_t2)) | m_main_v_state2(s199, c_t2) | (~node13(s198, s199)))),
% 5.22/4.08 inference(rewrite,[status(thm)],[])).
% 5.22/4.08 tff(16108,plain,
% 5.22/4.08 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s198, s199)) | (~m_main_v_state2(s198, c_t2)) | m_main_v_state2(s199, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s198, c_t2)) | m_main_v_state2(s199, c_t2) | (~node13(s198, s199))))),
% 5.22/4.08 inference(monotonicity,[status(thm)],[16107])).
% 5.22/4.08 tff(16109,plain,
% 5.22/4.08 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s198, s199)) | (~m_main_v_state2(s198, c_t2)) | m_main_v_state2(s199, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s198, c_t2)) | m_main_v_state2(s199, c_t2) | (~node13(s198, s199)))),
% 5.22/4.08 inference(transitivity,[status(thm)],[16108, 16106])).
% 5.22/4.08 tff(16110,plain,
% 5.22/4.08 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s198, s199)) | (~m_main_v_state2(s198, c_t2)) | m_main_v_state2(s199, c_t2))),
% 5.22/4.08 inference(quant_inst,[status(thm)],[])).
% 5.22/4.08 tff(16111,plain,
% 5.22/4.08 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s198, c_t2)) | m_main_v_state2(s199, c_t2) | (~node13(s198, s199))),
% 5.22/4.08 inference(modus_ponens,[status(thm)],[16110, 16109])).
% 5.22/4.08 tff(16112,plain,
% 5.22/4.08 (m_main_v_state2(s199, c_t2)),
% 5.22/4.08 inference(unit_resolution,[status(thm)],[16111, 518, 16009, 16105])).
% 5.22/4.08 tff(16113,plain,
% 5.22/4.08 (succ(s199, s200) <=> succ(s199, s200)),
% 5.22/4.08 inference(rewrite,[status(thm)],[])).
% 5.22/4.08 tff(16114,axiom,(succ(s199, s200)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound200')).
% 5.22/4.08 tff(16115,plain,
% 5.22/4.08 (succ(s199, s200)),
% 5.22/4.08 inference(modus_ponens,[status(thm)],[16114, 16113])).
% 5.22/4.08 tff(16116,plain,
% 5.22/4.08 (((~![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))),
% 5.22/4.08 inference(rewrite,[status(thm)],[])).
% 5.22/4.08 tff(16117,plain,
% 5.22/4.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s199, s200)) | trans(s199, s200))),
% 5.22/4.08 inference(quant_inst,[status(thm)],[])).
% 5.22/4.08 tff(16118,plain,
% 5.22/4.08 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s199, s200)) | trans(s199, s200)),
% 5.22/4.08 inference(modus_ponens,[status(thm)],[16117, 16116])).
% 5.22/4.08 tff(16119,plain,
% 5.22/4.08 (trans(s199, s200)),
% 5.22/4.08 inference(unit_resolution,[status(thm)],[16118, 16115, 32])).
% 5.22/4.08 tff(16120,plain,
% 5.22/4.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s199, s200)) | node7(s199, s200))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s199, s200)) | node7(s199, s200))),
% 5.22/4.08 inference(rewrite,[status(thm)],[])).
% 5.22/4.08 tff(16121,plain,
% 5.22/4.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s199, s200)) | node7(s199, s200))),
% 5.22/4.08 inference(quant_inst,[status(thm)],[])).
% 5.22/4.08 tff(16122,plain,
% 5.22/4.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s199, s200)) | node7(s199, s200)),
% 5.22/4.08 inference(modus_ponens,[status(thm)],[16121, 16120])).
% 5.22/4.08 tff(16123,plain,
% 5.22/4.08 (node7(s199, s200)),
% 5.22/4.08 inference(unit_resolution,[status(thm)],[16122, 206, 16119])).
% 5.22/4.08 tff(16124,plain,
% 5.22/4.08 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s199, c_n1)) | (~m_main_v_state2(s199, c_t2)) | (~node7(s199, s200)) | m_main_v_state1(s200, c_t1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s199, c_n1)) | (~m_main_v_state2(s199, c_t2)) | (~node7(s199, s200)) | m_main_v_state1(s200, c_t1))),
% 5.22/4.08 inference(rewrite,[status(thm)],[])).
% 5.22/4.08 tff(16125,plain,
% 5.22/4.08 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | ((~m_main_v_state1(s199, c_n1)) | (~m_main_v_state2(s199, c_t2)) | (~node7(s199, s200)) | m_main_v_state1(s200, c_t1))),
% 5.22/4.08 inference(quant_inst,[status(thm)],[])).
% 5.22/4.08 tff(16126,plain,
% 5.22/4.08 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node7(X, Y)) | m_main_v_state1(Y, c_t1))) | (~m_main_v_state1(s199, c_n1)) | (~m_main_v_state2(s199, c_t2)) | (~node7(s199, s200)) | m_main_v_state1(s200, c_t1)),
% 5.22/4.08 inference(modus_ponens,[status(thm)],[16125, 16124])).
% 5.22/4.08 tff(16127,plain,
% 5.22/4.08 ((~m_main_v_state1(s199, c_n1)) | (~m_main_v_state2(s199, c_t2)) | m_main_v_state1(s200, c_t1)),
% 5.22/4.08 inference(unit_resolution,[status(thm)],[16126, 651, 16123])).
% 5.22/4.08 tff(16128,plain,
% 5.22/4.08 (m_main_v_state1(s200, c_t1)),
% 5.22/4.08 inference(unit_resolution,[status(thm)],[16127, 16112, 16056])).
% 5.22/4.08 tff(16129,plain,
% 5.22/4.08 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s200, c_n1)) | (~m_main_v_state1(s200, c_t1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s200, c_n1)) | (~m_main_v_state1(s200, c_t1)))),
% 5.22/4.08 inference(rewrite,[status(thm)],[])).
% 5.22/4.08 tff(16130,plain,
% 5.22/4.08 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | ((~m_main_v_state1(s200, c_n1)) | (~m_main_v_state1(s200, c_t1)))),
% 5.22/4.08 inference(quant_inst,[status(thm)],[])).
% 5.22/4.08 tff(16131,plain,
% 5.22/4.08 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_t1)))) | (~m_main_v_state1(s200, c_n1)) | (~m_main_v_state1(s200, c_t1))),
% 5.22/4.08 inference(modus_ponens,[status(thm)],[16130, 16129])).
% 5.22/4.08 tff(16132,plain,
% 5.22/4.08 (~m_main_v_state1(s200, c_n1)),
% 5.22/4.08 inference(unit_resolution,[status(thm)],[16131, 10, 16128])).
% 5.22/4.08 tff(16133,plain,
% 5.22/4.08 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s200, c_n1) | (~node1(s200)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s200, c_n1) | (~node1(s200)))),
% 5.22/4.08 inference(rewrite,[status(thm)],[])).
% 5.22/4.08 tff(16134,plain,
% 5.22/4.08 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s200, c_n1) | (~node1(s200)))),
% 5.22/4.08 inference(quant_inst,[status(thm)],[])).
% 5.22/4.08 tff(16135,plain,
% 5.22/4.08 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s200, c_n1) | (~node1(s200))),
% 5.22/4.08 inference(modus_ponens,[status(thm)],[16134, 16133])).
% 5.22/4.08 tff(16136,plain,
% 5.22/4.08 (~node1(s200)),
% 5.22/4.08 inference(unit_resolution,[status(thm)],[16135, 421, 16132])).
% 5.22/4.08 tff(16137,plain,
% 5.22/4.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s199, s200)) | node18(s199, s200))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s199, s200)) | node18(s199, s200))),
% 5.22/4.08 inference(rewrite,[status(thm)],[])).
% 5.22/4.08 tff(16138,plain,
% 5.22/4.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s199, s200)) | node18(s199, s200))),
% 5.22/4.08 inference(quant_inst,[status(thm)],[])).
% 5.22/4.08 tff(16139,plain,
% 5.22/4.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s199, s200)) | node18(s199, s200)),
% 5.22/4.08 inference(modus_ponens,[status(thm)],[16138, 16137])).
% 5.22/4.08 tff(16140,plain,
% 5.22/4.08 (node18(s199, s200)),
% 5.22/4.08 inference(unit_resolution,[status(thm)],[16139, 125, 16119])).
% 5.22/4.08 tff(16141,plain,
% 5.22/4.08 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s199, c_n1)) | (~m_main_v_state2(s199, c_t2)) | (~node18(s199, s200)) | m_main_v_turn(s200, c_2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s199, c_n1)) | (~m_main_v_state2(s199, c_t2)) | (~node18(s199, s200)) | m_main_v_turn(s200, c_2))),
% 5.22/4.08 inference(rewrite,[status(thm)],[])).
% 5.22/4.08 tff(16142,plain,
% 5.22/4.08 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | ((~m_main_v_state1(s199, c_n1)) | (~m_main_v_state2(s199, c_t2)) | (~node18(s199, s200)) | m_main_v_turn(s200, c_2))),
% 5.22/4.08 inference(quant_inst,[status(thm)],[])).
% 5.22/4.08 tff(16143,plain,
% 5.22/4.08 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | (~node18(X, Y)) | m_main_v_turn(Y, c_2))) | (~m_main_v_state1(s199, c_n1)) | (~m_main_v_state2(s199, c_t2)) | (~node18(s199, s200)) | m_main_v_turn(s200, c_2)),
% 5.22/4.08 inference(modus_ponens,[status(thm)],[16142, 16141])).
% 5.22/4.08 tff(16144,plain,
% 5.22/4.08 ((~m_main_v_state1(s199, c_n1)) | (~m_main_v_state2(s199, c_t2)) | m_main_v_turn(s200, c_2)),
% 5.22/4.08 inference(unit_resolution,[status(thm)],[16143, 760, 16140])).
% 5.22/4.08 tff(16145,plain,
% 5.22/4.08 (m_main_v_turn(s200, c_2)),
% 5.22/4.08 inference(unit_resolution,[status(thm)],[16144, 16112, 16056])).
% 5.22/4.08 tff(16146,plain,
% 5.22/4.08 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s200, c_1)) | (~m_main_v_turn(s200, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s200, c_1)) | (~m_main_v_turn(s200, c_2)))),
% 5.22/4.08 inference(rewrite,[status(thm)],[])).
% 5.22/4.08 tff(16147,plain,
% 5.22/4.08 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s200, c_1)) | (~m_main_v_turn(s200, c_2)))),
% 5.22/4.08 inference(quant_inst,[status(thm)],[])).
% 5.22/4.08 tff(16148,plain,
% 5.22/4.08 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s200, c_1)) | (~m_main_v_turn(s200, c_2))),
% 5.22/4.08 inference(modus_ponens,[status(thm)],[16147, 16146])).
% 5.22/4.08 tff(16149,plain,
% 5.22/4.08 (~m_main_v_turn(s200, c_1)),
% 5.22/4.08 inference(unit_resolution,[status(thm)],[16148, 156, 16145])).
% 5.22/4.08 tff(16150,plain,
% 5.22/4.08 (((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s200, c_1) | (~node5(s200)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s200, c_1) | (~node5(s200)))),
% 5.22/4.08 inference(rewrite,[status(thm)],[])).
% 5.22/4.08 tff(16151,plain,
% 5.22/4.08 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | (m_main_v_turn(s200, c_1) | (~node5(s200)))),
% 5.22/4.08 inference(quant_inst,[status(thm)],[])).
% 5.22/4.08 tff(16152,plain,
% 5.22/4.08 ((~![X: $i] : (m_main_v_turn(X, c_1) | (~node5(X)))) | m_main_v_turn(s200, c_1) | (~node5(s200))),
% 5.22/4.08 inference(modus_ponens,[status(thm)],[16151, 16150])).
% 5.22/4.08 tff(16153,plain,
% 5.22/4.08 (~node5(s200)),
% 5.22/4.08 inference(unit_resolution,[status(thm)],[16152, 776, 16149])).
% 5.22/4.08 tff(16154,plain,
% 5.22/4.08 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s200, c_n1) | (~node2(s200)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s200, c_n1) | (~node2(s200)))),
% 5.22/4.08 inference(rewrite,[status(thm)],[])).
% 5.22/4.08 tff(16155,plain,
% 5.22/4.08 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s200, c_n1) | (~node2(s200)))),
% 5.22/4.08 inference(quant_inst,[status(thm)],[])).
% 5.22/4.08 tff(16156,plain,
% 5.22/4.08 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s200, c_n1) | (~node2(s200))),
% 5.22/4.08 inference(modus_ponens,[status(thm)],[16155, 16154])).
% 5.22/4.08 tff(16157,plain,
% 5.22/4.08 (~node2(s200)),
% 5.22/4.08 inference(unit_resolution,[status(thm)],[16156, 787, 16132])).
% 5.22/4.08 tff(16158,plain,
% 5.22/4.08 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s200, c_n1) | (~node3(s200)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s200, c_n1) | (~node3(s200)))),
% 5.22/4.08 inference(rewrite,[status(thm)],[])).
% 5.22/4.08 tff(16159,plain,
% 5.22/4.08 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | (m_main_v_state1(s200, c_n1) | (~node3(s200)))),
% 5.22/4.08 inference(quant_inst,[status(thm)],[])).
% 5.22/4.08 tff(16160,plain,
% 5.22/4.08 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node3(X)))) | m_main_v_state1(s200, c_n1) | (~node3(s200))),
% 5.22/4.08 inference(modus_ponens,[status(thm)],[16159, 16158])).
% 5.22/4.08 tff(16161,plain,
% 5.22/4.08 (~node3(s200)),
% 5.22/4.08 inference(unit_resolution,[status(thm)],[16160, 798, 16132])).
% 5.22/4.08 tff(16162,plain,
% 5.22/4.08 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s200, c_t1)) | (~m_main_v_state1(s200, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s200, c_t1)) | (~m_main_v_state1(s200, c_c1)))),
% 5.22/4.08 inference(rewrite,[status(thm)],[])).
% 5.22/4.08 tff(16163,plain,
% 5.22/4.08 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s200, c_t1)) | (~m_main_v_state1(s200, c_c1)))),
% 5.22/4.08 inference(quant_inst,[status(thm)],[])).
% 5.22/4.08 tff(16164,plain,
% 5.22/4.08 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s200, c_t1)) | (~m_main_v_state1(s200, c_c1))),
% 5.22/4.08 inference(modus_ponens,[status(thm)],[16163, 16162])).
% 5.22/4.08 tff(16165,plain,
% 5.22/4.08 (~m_main_v_state1(s200, c_c1)),
% 5.22/4.08 inference(unit_resolution,[status(thm)],[16164, 539, 16128])).
% 5.22/4.08 tff(16166,plain,
% 5.22/4.08 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s198, c_n2) | (~m_main_v_state2(s199, c_n2)) | (~node13(s198, s199)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s198, c_n2) | (~m_main_v_state2(s199, c_n2)) | (~node13(s198, s199)))),
% 5.22/4.08 inference(rewrite,[status(thm)],[])).
% 5.22/4.08 tff(16167,plain,
% 5.22/4.08 (((~node13(s198, s199)) | m_main_v_state2(s198, c_n2) | (~m_main_v_state2(s199, c_n2))) <=> (m_main_v_state2(s198, c_n2) | (~m_main_v_state2(s199, c_n2)) | (~node13(s198, s199)))),
% 5.22/4.08 inference(rewrite,[status(thm)],[])).
% 5.22/4.08 tff(16168,plain,
% 5.22/4.08 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s198, s199)) | m_main_v_state2(s198, c_n2) | (~m_main_v_state2(s199, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s198, c_n2) | (~m_main_v_state2(s199, c_n2)) | (~node13(s198, s199))))),
% 5.22/4.08 inference(monotonicity,[status(thm)],[16167])).
% 5.22/4.08 tff(16169,plain,
% 5.22/4.08 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s198, s199)) | m_main_v_state2(s198, c_n2) | (~m_main_v_state2(s199, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s198, c_n2) | (~m_main_v_state2(s199, c_n2)) | (~node13(s198, s199)))),
% 5.22/4.08 inference(transitivity,[status(thm)],[16168, 16166])).
% 5.22/4.08 tff(16170,plain,
% 5.22/4.08 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s198, s199)) | m_main_v_state2(s198, c_n2) | (~m_main_v_state2(s199, c_n2)))),
% 5.22/4.08 inference(quant_inst,[status(thm)],[])).
% 5.22/4.08 tff(16171,plain,
% 5.22/4.08 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s198, c_n2) | (~m_main_v_state2(s199, c_n2)) | (~node13(s198, s199))),
% 5.22/4.08 inference(modus_ponens,[status(thm)],[16170, 16169])).
% 5.22/4.08 tff(16172,plain,
% 5.22/4.08 (~m_main_v_state2(s199, c_n2)),
% 5.22/4.08 inference(unit_resolution,[status(thm)],[16171, 311, 16013, 16105])).
% 5.22/4.08 tff(16173,plain,
% 5.22/4.08 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s199, c_n2) | (~node9(s199)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s199, c_n2) | (~node9(s199)))),
% 5.22/4.08 inference(rewrite,[status(thm)],[])).
% 5.22/4.08 tff(16174,plain,
% 5.22/4.08 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s199, c_n2) | (~node9(s199)))),
% 5.22/4.08 inference(quant_inst,[status(thm)],[])).
% 5.22/4.08 tff(16175,plain,
% 5.22/4.08 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s199, c_n2) | (~node9(s199))),
% 5.22/4.08 inference(modus_ponens,[status(thm)],[16174, 16173])).
% 5.22/4.08 tff(16176,plain,
% 5.22/4.08 (~node9(s199)),
% 5.22/4.08 inference(unit_resolution,[status(thm)],[16175, 88, 16172])).
% 5.22/4.08 tff(16177,plain,
% 5.22/4.08 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s199, c_n2) | (~node10(s199)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s199, c_n2) | (~node10(s199)))),
% 5.22/4.08 inference(rewrite,[status(thm)],[])).
% 5.22/4.08 tff(16178,plain,
% 5.22/4.08 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s199, c_n2) | (~node10(s199)))),
% 5.22/4.08 inference(quant_inst,[status(thm)],[])).
% 5.22/4.08 tff(16179,plain,
% 5.22/4.08 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s199, c_n2) | (~node10(s199))),
% 5.22/4.08 inference(modus_ponens,[status(thm)],[16178, 16177])).
% 5.22/4.08 tff(16180,plain,
% 5.22/4.08 (~node10(s199)),
% 5.22/4.08 inference(unit_resolution,[status(thm)],[16179, 249, 16172])).
% 5.22/4.08 tff(16181,plain,
% 5.22/4.08 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s199, c_n2) | (~node8(s199)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s199, c_n2) | (~node8(s199)))),
% 5.22/4.08 inference(rewrite,[status(thm)],[])).
% 5.22/4.08 tff(16182,plain,
% 5.22/4.08 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s199, c_n2) | (~node8(s199)))),
% 5.22/4.08 inference(quant_inst,[status(thm)],[])).
% 5.22/4.08 tff(16183,plain,
% 5.22/4.08 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s199, c_n2) | (~node8(s199))),
% 5.22/4.08 inference(modus_ponens,[status(thm)],[16182, 16181])).
% 5.22/4.08 tff(16184,plain,
% 5.22/4.08 (~node8(s199)),
% 5.22/4.08 inference(unit_resolution,[status(thm)],[16183, 271, 16172])).
% 5.22/4.08 tff(16185,plain,
% 5.22/4.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s199, s200)) | node14(s199, s200))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s199, s200)) | node14(s199, s200))),
% 5.22/4.08 inference(rewrite,[status(thm)],[])).
% 5.22/4.08 tff(16186,plain,
% 5.22/4.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s199, s200)) | node14(s199, s200))),
% 5.22/4.08 inference(quant_inst,[status(thm)],[])).
% 5.22/4.08 tff(16187,plain,
% 5.22/4.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s199, s200)) | node14(s199, s200)),
% 5.22/4.08 inference(modus_ponens,[status(thm)],[16186, 16185])).
% 5.22/4.08 tff(16188,plain,
% 5.22/4.08 (node14(s199, s200)),
% 5.22/4.08 inference(unit_resolution,[status(thm)],[16187, 46, 16119])).
% 5.22/4.08 tff(16189,plain,
% 5.22/4.08 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s199, c_n1)) | (~m_main_v_state2(s199, c_t2)) | node9(s199) | node8(s199) | node10(s199) | (~node14(s199, s200)) | m_main_v_state2(s200, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s199, c_n1)) | (~m_main_v_state2(s199, c_t2)) | node9(s199) | node8(s199) | node10(s199) | (~node14(s199, s200)) | m_main_v_state2(s200, c_c2))),
% 5.22/4.08 inference(rewrite,[status(thm)],[])).
% 5.22/4.08 tff(16190,plain,
% 5.22/4.08 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s199, c_n1)) | (~m_main_v_state2(s199, c_t2)) | node9(s199) | node8(s199) | node10(s199) | (~node14(s199, s200)) | m_main_v_state2(s200, c_c2))),
% 5.22/4.08 inference(quant_inst,[status(thm)],[])).
% 5.22/4.08 tff(16191,plain,
% 5.22/4.08 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s199, c_n1)) | (~m_main_v_state2(s199, c_t2)) | node9(s199) | node8(s199) | node10(s199) | (~node14(s199, s200)) | m_main_v_state2(s200, c_c2)),
% 5.22/4.08 inference(modus_ponens,[status(thm)],[16190, 16189])).
% 5.22/4.08 tff(16192,plain,
% 5.22/4.08 ((~m_main_v_state1(s199, c_n1)) | (~m_main_v_state2(s199, c_t2)) | node9(s199) | node8(s199) | node10(s199) | m_main_v_state2(s200, c_c2)),
% 5.22/4.08 inference(unit_resolution,[status(thm)],[16191, 617, 16188])).
% 5.22/4.08 tff(16193,plain,
% 5.22/4.08 (m_main_v_state2(s200, c_c2)),
% 5.22/4.08 inference(unit_resolution,[status(thm)],[16192, 16184, 16056, 16112, 16180, 16176])).
% 5.22/4.08 tff(16194,plain,
% 5.22/4.08 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s200, c_n2)) | (~m_main_v_state2(s200, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s200, c_n2)) | (~m_main_v_state2(s200, c_c2)))),
% 5.22/4.08 inference(rewrite,[status(thm)],[])).
% 5.22/4.08 tff(16195,plain,
% 5.22/4.08 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s200, c_n2)) | (~m_main_v_state2(s200, c_c2)))),
% 5.22/4.08 inference(quant_inst,[status(thm)],[])).
% 5.22/4.08 tff(16196,plain,
% 5.22/4.08 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s200, c_n2)) | (~m_main_v_state2(s200, c_c2))),
% 5.22/4.08 inference(modus_ponens,[status(thm)],[16195, 16194])).
% 5.22/4.08 tff(16197,plain,
% 5.22/4.08 (~m_main_v_state2(s200, c_n2)),
% 5.22/4.08 inference(unit_resolution,[status(thm)],[16196, 697, 16193])).
% 5.22/4.08 tff(16198,plain,
% 5.22/4.08 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s200, c_n2) | (~node4(s200)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s200, c_n2) | (~node4(s200)))),
% 5.22/4.09 inference(rewrite,[status(thm)],[])).
% 5.22/4.09 tff(16199,plain,
% 5.22/4.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s200, c_n2) | (~node4(s200)))),
% 5.22/4.09 inference(quant_inst,[status(thm)],[])).
% 5.22/4.09 tff(16200,plain,
% 5.22/4.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s200, c_n2) | (~node4(s200))),
% 5.22/4.09 inference(modus_ponens,[status(thm)],[16199, 16198])).
% 5.22/4.09 tff(16201,plain,
% 5.22/4.09 (~node4(s200)),
% 5.22/4.09 inference(unit_resolution,[status(thm)],[16200, 388, 16197])).
% 5.22/4.09 tff(16202,plain,
% 5.22/4.09 (succ(s200, s201) <=> succ(s200, s201)),
% 5.22/4.09 inference(rewrite,[status(thm)],[])).
% 5.22/4.09 tff(16203,axiom,(succ(s200, s201)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound201')).
% 5.22/4.09 tff(16204,plain,
% 5.22/4.09 (succ(s200, s201)),
% 5.22/4.09 inference(modus_ponens,[status(thm)],[16203, 16202])).
% 5.22/4.09 tff(16205,plain,
% 5.22/4.09 (((~![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))),
% 5.22/4.09 inference(rewrite,[status(thm)],[])).
% 5.22/4.09 tff(16206,plain,
% 5.22/4.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s200, s201)) | trans(s200, s201))),
% 5.22/4.09 inference(quant_inst,[status(thm)],[])).
% 5.22/4.09 tff(16207,plain,
% 5.22/4.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s200, s201)) | trans(s200, s201)),
% 5.22/4.09 inference(modus_ponens,[status(thm)],[16206, 16205])).
% 5.22/4.09 tff(16208,plain,
% 5.22/4.09 (trans(s200, s201)),
% 5.22/4.09 inference(unit_resolution,[status(thm)],[16207, 16204, 32])).
% 5.22/4.09 tff(16209,plain,
% 5.22/4.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s200, s201)) | node7(s200, s201))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s200, s201)) | node7(s200, s201))),
% 5.22/4.09 inference(rewrite,[status(thm)],[])).
% 5.22/4.09 tff(16210,plain,
% 5.22/4.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s200, s201)) | node7(s200, s201))),
% 5.22/4.09 inference(quant_inst,[status(thm)],[])).
% 5.22/4.09 tff(16211,plain,
% 5.22/4.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s200, s201)) | node7(s200, s201)),
% 5.22/4.09 inference(modus_ponens,[status(thm)],[16210, 16209])).
% 5.22/4.09 tff(16212,plain,
% 5.22/4.09 (node7(s200, s201)),
% 5.22/4.09 inference(unit_resolution,[status(thm)],[16211, 206, 16208])).
% 5.22/4.09 tff(16213,plain,
% 5.22/4.09 (((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s200, c_c1) | node1(s200) | node2(s200) | node3(s200) | node4(s200) | node5(s200) | node6(s200, s201) | (~node7(s200, s201)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s200, c_c1) | node1(s200) | node2(s200) | node3(s200) | node4(s200) | node5(s200) | node6(s200, s201) | (~node7(s200, s201)))),
% 5.22/4.09 inference(rewrite,[status(thm)],[])).
% 5.22/4.09 tff(16214,plain,
% 5.22/4.09 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | (m_main_v_state1(s200, c_c1) | node1(s200) | node2(s200) | node3(s200) | node4(s200) | node5(s200) | node6(s200, s201) | (~node7(s200, s201)))),
% 5.22/4.09 inference(quant_inst,[status(thm)],[])).
% 5.22/4.09 tff(16215,plain,
% 5.22/4.09 ((~![Y: $i, X: $i] : (m_main_v_state1(X, c_c1) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | node6(X, Y) | (~node7(X, Y)))) | m_main_v_state1(s200, c_c1) | node1(s200) | node2(s200) | node3(s200) | node4(s200) | node5(s200) | node6(s200, s201) | (~node7(s200, s201))),
% 5.22/4.09 inference(modus_ponens,[status(thm)],[16214, 16213])).
% 5.22/4.09 tff(16216,plain,
% 5.22/4.09 (m_main_v_state1(s200, c_c1) | node1(s200) | node2(s200) | node3(s200) | node4(s200) | node5(s200) | node6(s200, s201)),
% 5.22/4.09 inference(unit_resolution,[status(thm)],[16215, 820, 16212])).
% 5.22/4.09 tff(16217,plain,
% 5.22/4.09 (node6(s200, s201)),
% 5.22/4.09 inference(unit_resolution,[status(thm)],[16216, 16201, 16165, 16161, 16157, 16153, 16136])).
% 5.22/4.09 tff(16218,plain,
% 5.22/4.09 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s200, c_t1)) | m_main_v_state1(s201, c_t1) | (~node6(s200, s201)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s200, c_t1)) | m_main_v_state1(s201, c_t1) | (~node6(s200, s201)))),
% 5.22/4.09 inference(rewrite,[status(thm)],[])).
% 5.22/4.09 tff(16219,plain,
% 5.22/4.09 (((~node6(s200, s201)) | (~m_main_v_state1(s200, c_t1)) | m_main_v_state1(s201, c_t1)) <=> ((~m_main_v_state1(s200, c_t1)) | m_main_v_state1(s201, c_t1) | (~node6(s200, s201)))),
% 5.22/4.09 inference(rewrite,[status(thm)],[])).
% 5.22/4.09 tff(16220,plain,
% 5.22/4.09 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s200, s201)) | (~m_main_v_state1(s200, c_t1)) | m_main_v_state1(s201, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~m_main_v_state1(s200, c_t1)) | m_main_v_state1(s201, c_t1) | (~node6(s200, s201))))),
% 5.22/4.09 inference(monotonicity,[status(thm)],[16219])).
% 5.22/4.09 tff(16221,plain,
% 5.22/4.09 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s200, s201)) | (~m_main_v_state1(s200, c_t1)) | m_main_v_state1(s201, c_t1))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s200, c_t1)) | m_main_v_state1(s201, c_t1) | (~node6(s200, s201)))),
% 5.22/4.09 inference(transitivity,[status(thm)],[16220, 16218])).
% 5.22/4.09 tff(16222,plain,
% 5.22/4.09 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | ((~node6(s200, s201)) | (~m_main_v_state1(s200, c_t1)) | m_main_v_state1(s201, c_t1))),
% 5.22/4.09 inference(quant_inst,[status(thm)],[])).
% 5.22/4.09 tff(16223,plain,
% 5.22/4.09 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | (~m_main_v_state1(X, V)) | m_main_v_state1(Y, V))) | (~m_main_v_state1(s200, c_t1)) | m_main_v_state1(s201, c_t1) | (~node6(s200, s201))),
% 5.22/4.09 inference(modus_ponens,[status(thm)],[16222, 16221])).
% 5.22/4.09 tff(16224,plain,
% 5.22/4.09 (m_main_v_state1(s201, c_t1)),
% 5.22/4.09 inference(unit_resolution,[status(thm)],[16223, 856, 16128, 16217])).
% 5.22/4.09 tff(16225,plain,
% 5.22/4.09 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s200, c_t2)) | (~m_main_v_state2(s200, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s200, c_t2)) | (~m_main_v_state2(s200, c_c2)))),
% 5.22/4.09 inference(rewrite,[status(thm)],[])).
% 5.22/4.09 tff(16226,plain,
% 5.22/4.09 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s200, c_t2)) | (~m_main_v_state2(s200, c_c2)))),
% 5.22/4.09 inference(quant_inst,[status(thm)],[])).
% 5.22/4.09 tff(16227,plain,
% 5.22/4.09 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s200, c_t2)) | (~m_main_v_state2(s200, c_c2))),
% 5.22/4.09 inference(modus_ponens,[status(thm)],[16226, 16225])).
% 5.22/4.09 tff(16228,plain,
% 5.22/4.09 (~m_main_v_state2(s200, c_t2)),
% 5.22/4.09 inference(unit_resolution,[status(thm)],[16227, 260, 16193])).
% 5.22/4.09 tff(16229,plain,
% 5.22/4.09 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s200, c_t2) | (~node12(s200)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s200, c_t2) | (~node12(s200)))),
% 5.22/4.09 inference(rewrite,[status(thm)],[])).
% 5.22/4.09 tff(16230,plain,
% 5.22/4.09 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | (m_main_v_state2(s200, c_t2) | (~node12(s200)))),
% 5.22/4.09 inference(quant_inst,[status(thm)],[])).
% 5.22/4.09 tff(16231,plain,
% 5.22/4.09 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node12(X)))) | m_main_v_state2(s200, c_t2) | (~node12(s200))),
% 5.22/4.09 inference(modus_ponens,[status(thm)],[16230, 16229])).
% 5.22/4.09 tff(16232,plain,
% 5.22/4.09 (~node12(s200)),
% 5.22/4.09 inference(unit_resolution,[status(thm)],[16231, 633, 16228])).
% 5.22/4.09 tff(16233,plain,
% 5.22/4.09 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s200, c_n1) | (~node11(s200)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s200, c_n1) | (~node11(s200)))),
% 5.22/4.09 inference(rewrite,[status(thm)],[])).
% 5.22/4.09 tff(16234,plain,
% 5.22/4.09 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s200, c_n1) | (~node11(s200)))),
% 5.22/4.09 inference(quant_inst,[status(thm)],[])).
% 5.22/4.09 tff(16235,plain,
% 5.22/4.09 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s200, c_n1) | (~node11(s200))),
% 5.22/4.09 inference(modus_ponens,[status(thm)],[16234, 16233])).
% 5.22/4.09 tff(16236,plain,
% 5.22/4.09 (~node11(s200)),
% 5.22/4.09 inference(unit_resolution,[status(thm)],[16235, 238, 16132])).
% 5.22/4.09 tff(16237,plain,
% 5.22/4.09 (((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s200, c_c1) | (~node10(s200)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s200, c_c1) | (~node10(s200)))),
% 5.22/4.09 inference(rewrite,[status(thm)],[])).
% 5.22/4.09 tff(16238,plain,
% 5.22/4.09 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | (m_main_v_state1(s200, c_c1) | (~node10(s200)))),
% 5.22/4.09 inference(quant_inst,[status(thm)],[])).
% 5.22/4.09 tff(16239,plain,
% 5.22/4.09 ((~![X: $i] : (m_main_v_state1(X, c_c1) | (~node10(X)))) | m_main_v_state1(s200, c_c1) | (~node10(s200))),
% 5.22/4.09 inference(modus_ponens,[status(thm)],[16238, 16237])).
% 5.22/4.09 tff(16240,plain,
% 5.22/4.09 (~node10(s200)),
% 5.22/4.09 inference(unit_resolution,[status(thm)],[16239, 675, 16165])).
% 5.22/4.09 tff(16241,plain,
% 5.22/4.09 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s200, c_n1) | (~node9(s200)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s200, c_n1) | (~node9(s200)))),
% 5.22/4.09 inference(rewrite,[status(thm)],[])).
% 5.22/4.09 tff(16242,plain,
% 5.22/4.09 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | (m_main_v_state1(s200, c_n1) | (~node9(s200)))),
% 5.22/4.09 inference(quant_inst,[status(thm)],[])).
% 5.22/4.09 tff(16243,plain,
% 5.22/4.09 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node9(X)))) | m_main_v_state1(s200, c_n1) | (~node9(s200))),
% 5.22/4.09 inference(modus_ponens,[status(thm)],[16242, 16241])).
% 5.22/4.09 tff(16244,plain,
% 5.22/4.09 (~node9(s200)),
% 5.22/4.09 inference(unit_resolution,[status(thm)],[16243, 686, 16132])).
% 5.22/4.09 tff(16245,plain,
% 5.22/4.09 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s200, c_n2) | (~node8(s200)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s200, c_n2) | (~node8(s200)))),
% 5.22/4.09 inference(rewrite,[status(thm)],[])).
% 5.22/4.09 tff(16246,plain,
% 5.22/4.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s200, c_n2) | (~node8(s200)))),
% 5.22/4.09 inference(quant_inst,[status(thm)],[])).
% 5.22/4.09 tff(16247,plain,
% 5.22/4.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s200, c_n2) | (~node8(s200))),
% 5.22/4.09 inference(modus_ponens,[status(thm)],[16246, 16245])).
% 5.22/4.09 tff(16248,plain,
% 5.22/4.09 (~node8(s200)),
% 5.22/4.09 inference(unit_resolution,[status(thm)],[16247, 271, 16197])).
% 5.22/4.09 tff(16249,plain,
% 5.22/4.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s200, s201)) | node14(s200, s201))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s200, s201)) | node14(s200, s201))),
% 5.22/4.09 inference(rewrite,[status(thm)],[])).
% 5.22/4.09 tff(16250,plain,
% 5.22/4.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s200, s201)) | node14(s200, s201))),
% 5.22/4.09 inference(quant_inst,[status(thm)],[])).
% 5.22/4.09 tff(16251,plain,
% 5.22/4.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s200, s201)) | node14(s200, s201)),
% 5.22/4.09 inference(modus_ponens,[status(thm)],[16250, 16249])).
% 5.22/4.09 tff(16252,plain,
% 5.22/4.09 (node14(s200, s201)),
% 5.22/4.09 inference(unit_resolution,[status(thm)],[16251, 46, 16208])).
% 5.22/4.09 tff(16253,plain,
% 5.22/4.09 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s201, c_n2) | node9(s200) | node8(s200) | node10(s200) | node11(s200) | node12(s200) | (~node14(s200, s201)) | (~m_main_v_state2(s200, c_c2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s201, c_n2) | node9(s200) | node8(s200) | node10(s200) | node11(s200) | node12(s200) | (~node14(s200, s201)) | (~m_main_v_state2(s200, c_c2)))),
% 5.22/4.09 inference(rewrite,[status(thm)],[])).
% 5.22/4.09 tff(16254,plain,
% 5.22/4.09 (((~m_main_v_state2(s200, c_c2)) | node9(s200) | node8(s200) | node10(s200) | node11(s200) | node12(s200) | (~node14(s200, s201)) | m_main_v_state2(s201, c_n2)) <=> (m_main_v_state2(s201, c_n2) | node9(s200) | node8(s200) | node10(s200) | node11(s200) | node12(s200) | (~node14(s200, s201)) | (~m_main_v_state2(s200, c_c2)))),
% 5.22/4.09 inference(rewrite,[status(thm)],[])).
% 5.22/4.09 tff(16255,plain,
% 5.22/4.09 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s200, c_c2)) | node9(s200) | node8(s200) | node10(s200) | node11(s200) | node12(s200) | (~node14(s200, s201)) | m_main_v_state2(s201, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | (m_main_v_state2(s201, c_n2) | node9(s200) | node8(s200) | node10(s200) | node11(s200) | node12(s200) | (~node14(s200, s201)) | (~m_main_v_state2(s200, c_c2))))),
% 5.22/4.09 inference(monotonicity,[status(thm)],[16254])).
% 5.22/4.09 tff(16256,plain,
% 5.22/4.09 (((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s200, c_c2)) | node9(s200) | node8(s200) | node10(s200) | node11(s200) | node12(s200) | (~node14(s200, s201)) | m_main_v_state2(s201, c_n2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s201, c_n2) | node9(s200) | node8(s200) | node10(s200) | node11(s200) | node12(s200) | (~node14(s200, s201)) | (~m_main_v_state2(s200, c_c2)))),
% 5.22/4.09 inference(transitivity,[status(thm)],[16255, 16253])).
% 5.22/4.09 tff(16257,plain,
% 5.22/4.09 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | ((~m_main_v_state2(s200, c_c2)) | node9(s200) | node8(s200) | node10(s200) | node11(s200) | node12(s200) | (~node14(s200, s201)) | m_main_v_state2(s201, c_n2))),
% 5.22/4.09 inference(quant_inst,[status(thm)],[])).
% 5.22/4.09 tff(16258,plain,
% 5.22/4.09 ((~![Y: $i, X: $i] : ((~m_main_v_state2(X, c_c2)) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_n2))) | m_main_v_state2(s201, c_n2) | node9(s200) | node8(s200) | node10(s200) | node11(s200) | node12(s200) | (~node14(s200, s201)) | (~m_main_v_state2(s200, c_c2))),
% 5.22/4.09 inference(modus_ponens,[status(thm)],[16257, 16256])).
% 5.22/4.09 tff(16259,plain,
% 5.22/4.09 (m_main_v_state2(s201, c_n2) | node9(s200) | node8(s200) | node10(s200) | node11(s200) | node12(s200) | (~m_main_v_state2(s200, c_c2))),
% 5.22/4.09 inference(unit_resolution,[status(thm)],[16258, 726, 16252])).
% 5.22/4.09 tff(16260,plain,
% 5.22/4.09 (m_main_v_state2(s201, c_n2)),
% 5.22/4.09 inference(unit_resolution,[status(thm)],[16259, 16248, 16193, 16244, 16240, 16236, 16232])).
% 5.22/4.09 tff(16261,plain,
% 5.22/4.09 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s201, c_n2)) | (~m_main_v_state2(s201, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s201, c_n2)) | (~m_main_v_state2(s201, c_t2)))),
% 5.22/4.09 inference(rewrite,[status(thm)],[])).
% 5.22/4.09 tff(16262,plain,
% 5.22/4.09 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s201, c_n2)) | (~m_main_v_state2(s201, c_t2)))),
% 5.22/4.09 inference(quant_inst,[status(thm)],[])).
% 5.22/4.09 tff(16263,plain,
% 5.22/4.09 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s201, c_n2)) | (~m_main_v_state2(s201, c_t2))),
% 5.22/4.09 inference(modus_ponens,[status(thm)],[16262, 16261])).
% 5.22/4.09 tff(16264,plain,
% 5.22/4.09 (~m_main_v_state2(s201, c_t2)),
% 5.22/4.09 inference(unit_resolution,[status(thm)],[16263, 77, 16260])).
% 5.22/4.09 tff(16265,plain,
% 5.22/4.09 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s201, c_t2) | (~node15(s201)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s201, c_t2) | (~node15(s201)))),
% 5.22/4.09 inference(rewrite,[status(thm)],[])).
% 5.22/4.09 tff(16266,plain,
% 5.22/4.09 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | (m_main_v_state2(s201, c_t2) | (~node15(s201)))),
% 5.22/4.09 inference(quant_inst,[status(thm)],[])).
% 5.22/4.09 tff(16267,plain,
% 5.22/4.09 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node15(X)))) | m_main_v_state2(s201, c_t2) | (~node15(s201))),
% 5.22/4.09 inference(modus_ponens,[status(thm)],[16266, 16265])).
% 5.22/4.09 tff(16268,plain,
% 5.22/4.09 (~node15(s201)),
% 5.22/4.09 inference(unit_resolution,[status(thm)],[16267, 103, 16264])).
% 5.22/4.09 tff(16269,plain,
% 5.22/4.09 (succ(s201, s202) <=> succ(s201, s202)),
% 5.22/4.09 inference(rewrite,[status(thm)],[])).
% 5.22/4.09 tff(16270,axiom,(succ(s201, s202)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound202')).
% 5.22/4.09 tff(16271,plain,
% 5.22/4.09 (succ(s201, s202)),
% 5.22/4.09 inference(modus_ponens,[status(thm)],[16270, 16269])).
% 5.22/4.09 tff(16272,plain,
% 5.22/4.09 (((~![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))),
% 5.22/4.09 inference(rewrite,[status(thm)],[])).
% 5.22/4.09 tff(16273,plain,
% 5.22/4.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s201, s202)) | trans(s201, s202))),
% 5.22/4.09 inference(quant_inst,[status(thm)],[])).
% 5.22/4.09 tff(16274,plain,
% 5.22/4.09 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s201, s202)) | trans(s201, s202)),
% 5.22/4.09 inference(modus_ponens,[status(thm)],[16273, 16272])).
% 5.22/4.09 tff(16275,plain,
% 5.22/4.09 (trans(s201, s202)),
% 5.22/4.09 inference(unit_resolution,[status(thm)],[16274, 16271, 32])).
% 5.22/4.09 tff(16276,plain,
% 5.22/4.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s201, s202)) | node18(s201, s202))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s201, s202)) | node18(s201, s202))),
% 5.22/4.09 inference(rewrite,[status(thm)],[])).
% 5.22/4.09 tff(16277,plain,
% 5.22/4.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | ((~trans(s201, s202)) | node18(s201, s202))),
% 5.22/4.09 inference(quant_inst,[status(thm)],[])).
% 5.22/4.09 tff(16278,plain,
% 5.22/4.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node18(X, Y))) | (~trans(s201, s202)) | node18(s201, s202)),
% 5.22/4.09 inference(modus_ponens,[status(thm)],[16277, 16276])).
% 5.22/4.09 tff(16279,plain,
% 5.22/4.09 (node18(s201, s202)),
% 5.22/4.09 inference(unit_resolution,[status(thm)],[16278, 125, 16275])).
% 5.22/4.09 tff(16280,plain,
% 5.22/4.09 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s201) | (~node18(s201, s202)) | (~m_main_v_state1(s201, c_t1)) | (~m_main_v_state2(s201, c_n2)) | m_main_v_turn(s202, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s201) | (~node18(s201, s202)) | (~m_main_v_state1(s201, c_t1)) | (~m_main_v_state2(s201, c_n2)) | m_main_v_turn(s202, c_1))),
% 5.22/4.09 inference(rewrite,[status(thm)],[])).
% 5.22/4.09 tff(16281,plain,
% 5.22/4.09 (((~m_main_v_state1(s201, c_t1)) | (~m_main_v_state2(s201, c_n2)) | node15(s201) | (~node18(s201, s202)) | m_main_v_turn(s202, c_1)) <=> (node15(s201) | (~node18(s201, s202)) | (~m_main_v_state1(s201, c_t1)) | (~m_main_v_state2(s201, c_n2)) | m_main_v_turn(s202, c_1))),
% 5.22/4.09 inference(rewrite,[status(thm)],[])).
% 5.22/4.09 tff(16282,plain,
% 5.22/4.09 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s201, c_t1)) | (~m_main_v_state2(s201, c_n2)) | node15(s201) | (~node18(s201, s202)) | m_main_v_turn(s202, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | (node15(s201) | (~node18(s201, s202)) | (~m_main_v_state1(s201, c_t1)) | (~m_main_v_state2(s201, c_n2)) | m_main_v_turn(s202, c_1)))),
% 5.22/4.09 inference(monotonicity,[status(thm)],[16281])).
% 5.22/4.09 tff(16283,plain,
% 5.22/4.09 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s201, c_t1)) | (~m_main_v_state2(s201, c_n2)) | node15(s201) | (~node18(s201, s202)) | m_main_v_turn(s202, c_1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s201) | (~node18(s201, s202)) | (~m_main_v_state1(s201, c_t1)) | (~m_main_v_state2(s201, c_n2)) | m_main_v_turn(s202, c_1))),
% 5.22/4.09 inference(transitivity,[status(thm)],[16282, 16280])).
% 5.22/4.09 tff(16284,plain,
% 5.22/4.09 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | ((~m_main_v_state1(s201, c_t1)) | (~m_main_v_state2(s201, c_n2)) | node15(s201) | (~node18(s201, s202)) | m_main_v_turn(s202, c_1))),
% 5.22/4.09 inference(quant_inst,[status(thm)],[])).
% 5.22/4.09 tff(16285,plain,
% 5.22/4.09 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node15(X) | (~node18(X, Y)) | m_main_v_turn(Y, c_1))) | node15(s201) | (~node18(s201, s202)) | (~m_main_v_state1(s201, c_t1)) | (~m_main_v_state2(s201, c_n2)) | m_main_v_turn(s202, c_1)),
% 5.22/4.09 inference(modus_ponens,[status(thm)],[16284, 16283])).
% 5.22/4.09 tff(16286,plain,
% 5.22/4.09 (node15(s201) | (~m_main_v_state1(s201, c_t1)) | (~m_main_v_state2(s201, c_n2)) | m_main_v_turn(s202, c_1)),
% 5.22/4.09 inference(unit_resolution,[status(thm)],[16285, 992, 16279])).
% 5.22/4.09 tff(16287,plain,
% 5.22/4.09 (m_main_v_turn(s202, c_1)),
% 5.22/4.09 inference(unit_resolution,[status(thm)],[16286, 16268, 16260, 16224])).
% 5.22/4.09 tff(16288,plain,
% 5.22/4.09 (((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s202, c_1)) | (~m_main_v_turn(s202, c_2)))) <=> ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s202, c_1)) | (~m_main_v_turn(s202, c_2)))),
% 5.22/4.09 inference(rewrite,[status(thm)],[])).
% 5.22/4.09 tff(16289,plain,
% 5.22/4.09 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | ((~m_main_v_turn(s202, c_1)) | (~m_main_v_turn(s202, c_2)))),
% 5.22/4.09 inference(quant_inst,[status(thm)],[])).
% 5.22/4.09 tff(16290,plain,
% 5.22/4.09 ((~![X: $i] : ((~m_main_v_turn(X, c_1)) | (~m_main_v_turn(X, c_2)))) | (~m_main_v_turn(s202, c_1)) | (~m_main_v_turn(s202, c_2))),
% 5.22/4.09 inference(modus_ponens,[status(thm)],[16289, 16288])).
% 5.22/4.09 tff(16291,plain,
% 5.22/4.09 (~m_main_v_turn(s202, c_2)),
% 5.22/4.09 inference(unit_resolution,[status(thm)],[16290, 156, 16287])).
% 5.22/4.09 tff(16292,plain,
% 5.22/4.09 (((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s202, c_2) | (~node12(s202)))) <=> ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s202, c_2) | (~node12(s202)))),
% 5.22/4.09 inference(rewrite,[status(thm)],[])).
% 5.22/4.09 tff(16293,plain,
% 5.22/4.09 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | (m_main_v_turn(s202, c_2) | (~node12(s202)))),
% 5.22/4.09 inference(quant_inst,[status(thm)],[])).
% 5.22/4.09 tff(16294,plain,
% 5.22/4.09 ((~![X: $i] : (m_main_v_turn(X, c_2) | (~node12(X)))) | m_main_v_turn(s202, c_2) | (~node12(s202))),
% 5.22/4.09 inference(modus_ponens,[status(thm)],[16293, 16292])).
% 5.22/4.09 tff(16295,plain,
% 5.22/4.09 (~node12(s202)),
% 5.22/4.09 inference(unit_resolution,[status(thm)],[16294, 184, 16291])).
% 5.22/4.09 tff(16296,plain,
% 5.22/4.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s201, s202)) | node14(s201, s202))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s201, s202)) | node14(s201, s202))),
% 5.22/4.09 inference(rewrite,[status(thm)],[])).
% 5.22/4.09 tff(16297,plain,
% 5.22/4.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s201, s202)) | node14(s201, s202))),
% 5.22/4.09 inference(quant_inst,[status(thm)],[])).
% 5.22/4.09 tff(16298,plain,
% 5.22/4.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s201, s202)) | node14(s201, s202)),
% 5.22/4.09 inference(modus_ponens,[status(thm)],[16297, 16296])).
% 5.22/4.09 tff(16299,plain,
% 5.22/4.09 (node14(s201, s202)),
% 5.22/4.09 inference(unit_resolution,[status(thm)],[16298, 46, 16275])).
% 5.22/4.09 tff(16300,plain,
% 5.22/4.09 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s201, c_t1)) | (~m_main_v_state2(s201, c_n2)) | (~node14(s201, s202)) | m_main_v_state2(s202, c_t2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s201, c_t1)) | (~m_main_v_state2(s201, c_n2)) | (~node14(s201, s202)) | m_main_v_state2(s202, c_t2))),
% 5.22/4.09 inference(rewrite,[status(thm)],[])).
% 5.22/4.09 tff(16301,plain,
% 5.22/4.09 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | ((~m_main_v_state1(s201, c_t1)) | (~m_main_v_state2(s201, c_n2)) | (~node14(s201, s202)) | m_main_v_state2(s202, c_t2))),
% 5.22/4.09 inference(quant_inst,[status(thm)],[])).
% 5.22/4.09 tff(16302,plain,
% 5.22/4.09 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | (~node14(X, Y)) | m_main_v_state2(Y, c_t2))) | (~m_main_v_state1(s201, c_t1)) | (~m_main_v_state2(s201, c_n2)) | (~node14(s201, s202)) | m_main_v_state2(s202, c_t2)),
% 5.22/4.09 inference(modus_ponens,[status(thm)],[16301, 16300])).
% 5.22/4.09 tff(16303,plain,
% 5.22/4.09 ((~m_main_v_state1(s201, c_t1)) | (~m_main_v_state2(s201, c_n2)) | m_main_v_state2(s202, c_t2)),
% 5.22/4.09 inference(unit_resolution,[status(thm)],[16302, 922, 16299])).
% 5.22/4.09 tff(16304,plain,
% 5.22/4.09 (m_main_v_state2(s202, c_t2)),
% 5.22/4.09 inference(unit_resolution,[status(thm)],[16303, 16224, 16260])).
% 5.22/4.09 tff(16305,plain,
% 5.22/4.09 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s202, c_n2)) | (~m_main_v_state2(s202, c_t2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s202, c_n2)) | (~m_main_v_state2(s202, c_t2)))),
% 5.22/4.09 inference(rewrite,[status(thm)],[])).
% 5.22/4.09 tff(16306,plain,
% 5.22/4.09 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | ((~m_main_v_state2(s202, c_n2)) | (~m_main_v_state2(s202, c_t2)))),
% 5.22/4.09 inference(quant_inst,[status(thm)],[])).
% 5.22/4.09 tff(16307,plain,
% 5.22/4.09 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_t2)))) | (~m_main_v_state2(s202, c_n2)) | (~m_main_v_state2(s202, c_t2))),
% 5.22/4.09 inference(modus_ponens,[status(thm)],[16306, 16305])).
% 5.22/4.09 tff(16308,plain,
% 5.22/4.09 (~m_main_v_state2(s202, c_n2)),
% 5.22/4.09 inference(unit_resolution,[status(thm)],[16307, 77, 16304])).
% 5.22/4.09 tff(16309,plain,
% 5.22/4.09 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s202, c_n2) | (~node8(s202)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s202, c_n2) | (~node8(s202)))),
% 5.22/4.09 inference(rewrite,[status(thm)],[])).
% 5.22/4.09 tff(16310,plain,
% 5.22/4.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s202, c_n2) | (~node8(s202)))),
% 5.22/4.09 inference(quant_inst,[status(thm)],[])).
% 5.22/4.09 tff(16311,plain,
% 5.22/4.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s202, c_n2) | (~node8(s202))),
% 5.22/4.09 inference(modus_ponens,[status(thm)],[16310, 16309])).
% 5.22/4.09 tff(16312,plain,
% 5.22/4.09 (~node8(s202)),
% 5.22/4.09 inference(unit_resolution,[status(thm)],[16311, 271, 16308])).
% 5.22/4.09 tff(16313,plain,
% 5.22/4.09 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s202, c_n2) | (~node9(s202)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s202, c_n2) | (~node9(s202)))),
% 5.22/4.09 inference(rewrite,[status(thm)],[])).
% 5.22/4.09 tff(16314,plain,
% 5.22/4.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s202, c_n2) | (~node9(s202)))),
% 5.22/4.09 inference(quant_inst,[status(thm)],[])).
% 5.22/4.09 tff(16315,plain,
% 5.22/4.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s202, c_n2) | (~node9(s202))),
% 5.22/4.09 inference(modus_ponens,[status(thm)],[16314, 16313])).
% 5.22/4.09 tff(16316,plain,
% 5.22/4.09 (~node9(s202)),
% 5.22/4.09 inference(unit_resolution,[status(thm)],[16315, 88, 16308])).
% 5.22/4.09 tff(16317,plain,
% 5.22/4.09 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s202, c_n2) | (~node10(s202)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s202, c_n2) | (~node10(s202)))),
% 5.22/4.09 inference(rewrite,[status(thm)],[])).
% 5.22/4.09 tff(16318,plain,
% 5.22/4.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s202, c_n2) | (~node10(s202)))),
% 5.22/4.09 inference(quant_inst,[status(thm)],[])).
% 5.22/4.09 tff(16319,plain,
% 5.22/4.09 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s202, c_n2) | (~node10(s202))),
% 5.22/4.10 inference(modus_ponens,[status(thm)],[16318, 16317])).
% 5.22/4.10 tff(16320,plain,
% 5.22/4.10 (~node10(s202)),
% 5.22/4.10 inference(unit_resolution,[status(thm)],[16319, 249, 16308])).
% 5.22/4.10 tff(16321,plain,
% 5.22/4.10 (((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s202, c_t2)) | (~m_main_v_state2(s202, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s202, c_t2)) | (~m_main_v_state2(s202, c_c2)))),
% 5.22/4.10 inference(rewrite,[status(thm)],[])).
% 5.22/4.10 tff(16322,plain,
% 5.22/4.10 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s202, c_t2)) | (~m_main_v_state2(s202, c_c2)))),
% 5.22/4.10 inference(quant_inst,[status(thm)],[])).
% 5.22/4.10 tff(16323,plain,
% 5.22/4.10 ((~![X: $i] : ((~m_main_v_state2(X, c_t2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s202, c_t2)) | (~m_main_v_state2(s202, c_c2))),
% 5.22/4.10 inference(modus_ponens,[status(thm)],[16322, 16321])).
% 5.22/4.10 tff(16324,plain,
% 5.22/4.10 (~m_main_v_state2(s202, c_c2)),
% 5.22/4.10 inference(unit_resolution,[status(thm)],[16323, 260, 16304])).
% 5.22/4.10 tff(16325,plain,
% 5.22/4.10 (((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s201, c_n2)) | (~m_main_v_state2(s201, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s201, c_n2)) | (~m_main_v_state2(s201, c_c2)))),
% 5.22/4.10 inference(rewrite,[status(thm)],[])).
% 5.22/4.10 tff(16326,plain,
% 5.22/4.10 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | ((~m_main_v_state2(s201, c_n2)) | (~m_main_v_state2(s201, c_c2)))),
% 5.22/4.10 inference(quant_inst,[status(thm)],[])).
% 5.22/4.10 tff(16327,plain,
% 5.22/4.10 ((~![X: $i] : ((~m_main_v_state2(X, c_n2)) | (~m_main_v_state2(X, c_c2)))) | (~m_main_v_state2(s201, c_n2)) | (~m_main_v_state2(s201, c_c2))),
% 5.22/4.10 inference(modus_ponens,[status(thm)],[16326, 16325])).
% 5.22/4.10 tff(16328,plain,
% 5.22/4.10 (~m_main_v_state2(s201, c_c2)),
% 5.22/4.10 inference(unit_resolution,[status(thm)],[16327, 697, 16260])).
% 5.22/4.10 tff(16329,plain,
% 5.22/4.10 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s201, c_c2) | (~node3(s201)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s201, c_c2) | (~node3(s201)))),
% 5.22/4.10 inference(rewrite,[status(thm)],[])).
% 5.22/4.10 tff(16330,plain,
% 5.22/4.10 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s201, c_c2) | (~node3(s201)))),
% 5.22/4.10 inference(quant_inst,[status(thm)],[])).
% 5.22/4.10 tff(16331,plain,
% 5.22/4.10 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s201, c_c2) | (~node3(s201))),
% 5.22/4.10 inference(modus_ponens,[status(thm)],[16330, 16329])).
% 5.22/4.10 tff(16332,plain,
% 5.22/4.10 (~node3(s201)),
% 5.22/4.10 inference(unit_resolution,[status(thm)],[16331, 399, 16328])).
% 5.22/4.10 tff(16333,plain,
% 5.22/4.10 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s200, c_n1) | (~m_main_v_state1(s201, c_n1)) | (~node6(s200, s201)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s200, c_n1) | (~m_main_v_state1(s201, c_n1)) | (~node6(s200, s201)))),
% 5.22/4.10 inference(rewrite,[status(thm)],[])).
% 5.22/4.10 tff(16334,plain,
% 5.22/4.10 (((~node6(s200, s201)) | m_main_v_state1(s200, c_n1) | (~m_main_v_state1(s201, c_n1))) <=> (m_main_v_state1(s200, c_n1) | (~m_main_v_state1(s201, c_n1)) | (~node6(s200, s201)))),
% 5.22/4.10 inference(rewrite,[status(thm)],[])).
% 5.22/4.10 tff(16335,plain,
% 5.22/4.10 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s200, s201)) | m_main_v_state1(s200, c_n1) | (~m_main_v_state1(s201, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | (m_main_v_state1(s200, c_n1) | (~m_main_v_state1(s201, c_n1)) | (~node6(s200, s201))))),
% 5.22/4.10 inference(monotonicity,[status(thm)],[16334])).
% 5.22/4.10 tff(16336,plain,
% 5.22/4.10 (((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s200, s201)) | m_main_v_state1(s200, c_n1) | (~m_main_v_state1(s201, c_n1)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s200, c_n1) | (~m_main_v_state1(s201, c_n1)) | (~node6(s200, s201)))),
% 5.22/4.10 inference(transitivity,[status(thm)],[16335, 16333])).
% 5.22/4.10 tff(16337,plain,
% 5.22/4.10 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | ((~node6(s200, s201)) | m_main_v_state1(s200, c_n1) | (~m_main_v_state1(s201, c_n1)))),
% 5.22/4.10 inference(quant_inst,[status(thm)],[])).
% 5.22/4.10 tff(16338,plain,
% 5.22/4.10 ((~![V: $i, Y: $i, X: $i] : ((~node6(X, Y)) | m_main_v_state1(X, V) | (~m_main_v_state1(Y, V)))) | m_main_v_state1(s200, c_n1) | (~m_main_v_state1(s201, c_n1)) | (~node6(s200, s201))),
% 5.22/4.10 inference(modus_ponens,[status(thm)],[16337, 16336])).
% 5.22/4.10 tff(16339,plain,
% 5.22/4.10 (~m_main_v_state1(s201, c_n1)),
% 5.22/4.10 inference(unit_resolution,[status(thm)],[16338, 835, 16132, 16217])).
% 5.22/4.10 tff(16340,plain,
% 5.22/4.10 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s201, c_n1) | (~node2(s201)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s201, c_n1) | (~node2(s201)))),
% 5.22/4.10 inference(rewrite,[status(thm)],[])).
% 5.22/4.10 tff(16341,plain,
% 5.22/4.10 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | (m_main_v_state1(s201, c_n1) | (~node2(s201)))),
% 5.22/4.10 inference(quant_inst,[status(thm)],[])).
% 5.22/4.10 tff(16342,plain,
% 5.22/4.10 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node2(X)))) | m_main_v_state1(s201, c_n1) | (~node2(s201))),
% 5.22/4.10 inference(modus_ponens,[status(thm)],[16341, 16340])).
% 5.22/4.10 tff(16343,plain,
% 5.22/4.10 (~node2(s201)),
% 5.22/4.10 inference(unit_resolution,[status(thm)],[16342, 787, 16339])).
% 5.22/4.10 tff(16344,plain,
% 5.22/4.10 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s201, c_t2) | (~node1(s201)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s201, c_t2) | (~node1(s201)))),
% 5.22/4.10 inference(rewrite,[status(thm)],[])).
% 5.22/4.10 tff(16345,plain,
% 5.22/4.10 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | (m_main_v_state2(s201, c_t2) | (~node1(s201)))),
% 5.22/4.10 inference(quant_inst,[status(thm)],[])).
% 5.22/4.10 tff(16346,plain,
% 5.22/4.10 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node1(X)))) | m_main_v_state2(s201, c_t2) | (~node1(s201))),
% 5.22/4.10 inference(modus_ponens,[status(thm)],[16345, 16344])).
% 5.22/4.10 tff(16347,plain,
% 5.22/4.10 (~node1(s201)),
% 5.22/4.10 inference(unit_resolution,[status(thm)],[16346, 195, 16264])).
% 5.22/4.10 tff(16348,plain,
% 5.22/4.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s201, s202)) | node7(s201, s202))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s201, s202)) | node7(s201, s202))),
% 5.22/4.10 inference(rewrite,[status(thm)],[])).
% 5.22/4.10 tff(16349,plain,
% 5.22/4.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s201, s202)) | node7(s201, s202))),
% 5.22/4.10 inference(quant_inst,[status(thm)],[])).
% 5.22/4.10 tff(16350,plain,
% 5.22/4.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s201, s202)) | node7(s201, s202)),
% 5.22/4.10 inference(modus_ponens,[status(thm)],[16349, 16348])).
% 5.22/4.10 tff(16351,plain,
% 5.22/4.10 (node7(s201, s202)),
% 5.22/4.10 inference(unit_resolution,[status(thm)],[16350, 206, 16275])).
% 5.22/4.10 tff(16352,plain,
% 5.22/4.10 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s201, c_t1)) | (~m_main_v_state2(s201, c_n2)) | m_main_v_state1(s202, c_c1) | node1(s201) | node2(s201) | node3(s201) | (~node7(s201, s202)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s201, c_t1)) | (~m_main_v_state2(s201, c_n2)) | m_main_v_state1(s202, c_c1) | node1(s201) | node2(s201) | node3(s201) | (~node7(s201, s202)))),
% 5.22/4.10 inference(rewrite,[status(thm)],[])).
% 5.22/4.10 tff(16353,plain,
% 5.22/4.10 (((~m_main_v_state1(s201, c_t1)) | (~m_main_v_state2(s201, c_n2)) | node1(s201) | node2(s201) | node3(s201) | (~node7(s201, s202)) | m_main_v_state1(s202, c_c1)) <=> ((~m_main_v_state1(s201, c_t1)) | (~m_main_v_state2(s201, c_n2)) | m_main_v_state1(s202, c_c1) | node1(s201) | node2(s201) | node3(s201) | (~node7(s201, s202)))),
% 5.22/4.10 inference(rewrite,[status(thm)],[])).
% 5.22/4.10 tff(16354,plain,
% 5.22/4.10 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s201, c_t1)) | (~m_main_v_state2(s201, c_n2)) | node1(s201) | node2(s201) | node3(s201) | (~node7(s201, s202)) | m_main_v_state1(s202, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s201, c_t1)) | (~m_main_v_state2(s201, c_n2)) | m_main_v_state1(s202, c_c1) | node1(s201) | node2(s201) | node3(s201) | (~node7(s201, s202))))),
% 5.22/4.10 inference(monotonicity,[status(thm)],[16353])).
% 5.22/4.10 tff(16355,plain,
% 5.22/4.10 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s201, c_t1)) | (~m_main_v_state2(s201, c_n2)) | node1(s201) | node2(s201) | node3(s201) | (~node7(s201, s202)) | m_main_v_state1(s202, c_c1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s201, c_t1)) | (~m_main_v_state2(s201, c_n2)) | m_main_v_state1(s202, c_c1) | node1(s201) | node2(s201) | node3(s201) | (~node7(s201, s202)))),
% 5.22/4.10 inference(transitivity,[status(thm)],[16354, 16352])).
% 5.22/4.10 tff(16356,plain,
% 5.22/4.10 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | ((~m_main_v_state1(s201, c_t1)) | (~m_main_v_state2(s201, c_n2)) | node1(s201) | node2(s201) | node3(s201) | (~node7(s201, s202)) | m_main_v_state1(s202, c_c1))),
% 5.22/4.10 inference(quant_inst,[status(thm)],[])).
% 5.22/4.10 tff(16357,plain,
% 5.22/4.10 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state2(X, c_n2)) | node1(X) | node2(X) | node3(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_c1))) | (~m_main_v_state1(s201, c_t1)) | (~m_main_v_state2(s201, c_n2)) | m_main_v_state1(s202, c_c1) | node1(s201) | node2(s201) | node3(s201) | (~node7(s201, s202))),
% 5.22/4.10 inference(modus_ponens,[status(thm)],[16356, 16355])).
% 5.22/4.10 tff(16358,plain,
% 5.22/4.10 ((~m_main_v_state1(s201, c_t1)) | (~m_main_v_state2(s201, c_n2)) | m_main_v_state1(s202, c_c1) | node1(s201) | node2(s201) | node3(s201)),
% 5.22/4.10 inference(unit_resolution,[status(thm)],[16357, 892, 16351])).
% 5.22/4.10 tff(16359,plain,
% 5.22/4.10 (m_main_v_state1(s202, c_c1)),
% 5.22/4.10 inference(unit_resolution,[status(thm)],[16358, 16347, 16260, 16224, 16343, 16332])).
% 5.22/4.10 tff(16360,plain,
% 5.22/4.10 (((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s202, c_n1)) | (~m_main_v_state1(s202, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s202, c_n1)) | (~m_main_v_state1(s202, c_c1)))),
% 5.22/4.10 inference(rewrite,[status(thm)],[])).
% 5.22/4.10 tff(16361,plain,
% 5.22/4.10 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s202, c_n1)) | (~m_main_v_state1(s202, c_c1)))),
% 5.22/4.10 inference(quant_inst,[status(thm)],[])).
% 5.22/4.10 tff(16362,plain,
% 5.22/4.10 ((~![X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s202, c_n1)) | (~m_main_v_state1(s202, c_c1))),
% 5.22/4.10 inference(modus_ponens,[status(thm)],[16361, 16360])).
% 5.22/4.10 tff(16363,plain,
% 5.22/4.10 (~m_main_v_state1(s202, c_n1)),
% 5.22/4.10 inference(unit_resolution,[status(thm)],[16362, 454, 16359])).
% 5.22/4.10 tff(16364,plain,
% 5.22/4.10 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s202, c_n1) | (~node11(s202)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s202, c_n1) | (~node11(s202)))),
% 5.22/4.10 inference(rewrite,[status(thm)],[])).
% 5.22/4.10 tff(16365,plain,
% 5.22/4.10 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | (m_main_v_state1(s202, c_n1) | (~node11(s202)))),
% 5.22/4.10 inference(quant_inst,[status(thm)],[])).
% 5.22/4.10 tff(16366,plain,
% 5.22/4.10 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node11(X)))) | m_main_v_state1(s202, c_n1) | (~node11(s202))),
% 5.22/4.10 inference(modus_ponens,[status(thm)],[16365, 16364])).
% 5.22/4.10 tff(16367,plain,
% 5.22/4.10 (~node11(s202)),
% 5.22/4.10 inference(unit_resolution,[status(thm)],[16366, 238, 16363])).
% 5.22/4.10 tff(16368,plain,
% 5.22/4.10 (succ(s202, s203) <=> succ(s202, s203)),
% 5.22/4.10 inference(rewrite,[status(thm)],[])).
% 5.22/4.10 tff(16369,axiom,(succ(s202, s203)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound203')).
% 5.22/4.10 tff(16370,plain,
% 5.22/4.10 (succ(s202, s203)),
% 5.22/4.10 inference(modus_ponens,[status(thm)],[16369, 16368])).
% 5.22/4.10 tff(16371,plain,
% 5.22/4.10 (((~![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))),
% 5.22/4.10 inference(rewrite,[status(thm)],[])).
% 5.22/4.10 tff(16372,plain,
% 5.22/4.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s202, s203)) | trans(s202, s203))),
% 5.22/4.10 inference(quant_inst,[status(thm)],[])).
% 5.22/4.10 tff(16373,plain,
% 5.22/4.10 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s202, s203)) | trans(s202, s203)),
% 5.22/4.10 inference(modus_ponens,[status(thm)],[16372, 16371])).
% 5.22/4.10 tff(16374,plain,
% 5.22/4.10 (trans(s202, s203)),
% 5.22/4.10 inference(unit_resolution,[status(thm)],[16373, 16370, 32])).
% 5.22/4.10 tff(16375,plain,
% 5.22/4.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s202, s203)) | node14(s202, s203))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s202, s203)) | node14(s202, s203))),
% 5.22/4.10 inference(rewrite,[status(thm)],[])).
% 5.22/4.10 tff(16376,plain,
% 5.22/4.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s202, s203)) | node14(s202, s203))),
% 5.22/4.10 inference(quant_inst,[status(thm)],[])).
% 5.22/4.10 tff(16377,plain,
% 5.22/4.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s202, s203)) | node14(s202, s203)),
% 5.22/4.10 inference(modus_ponens,[status(thm)],[16376, 16375])).
% 5.22/4.10 tff(16378,plain,
% 5.22/4.10 (node14(s202, s203)),
% 5.22/4.10 inference(unit_resolution,[status(thm)],[16377, 46, 16374])).
% 5.22/4.10 tff(16379,plain,
% 5.22/4.10 (((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s202, c_c2) | node9(s202) | node8(s202) | node10(s202) | node11(s202) | node12(s202) | node13(s202, s203) | (~node14(s202, s203)))) <=> ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s202, c_c2) | node9(s202) | node8(s202) | node10(s202) | node11(s202) | node12(s202) | node13(s202, s203) | (~node14(s202, s203)))),
% 5.22/4.10 inference(rewrite,[status(thm)],[])).
% 5.22/4.10 tff(16380,plain,
% 5.22/4.10 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | (m_main_v_state2(s202, c_c2) | node9(s202) | node8(s202) | node10(s202) | node11(s202) | node12(s202) | node13(s202, s203) | (~node14(s202, s203)))),
% 5.22/4.10 inference(quant_inst,[status(thm)],[])).
% 5.22/4.10 tff(16381,plain,
% 5.22/4.10 ((~![Y: $i, X: $i] : (m_main_v_state2(X, c_c2) | node9(X) | node8(X) | node10(X) | node11(X) | node12(X) | node13(X, Y) | (~node14(X, Y)))) | m_main_v_state2(s202, c_c2) | node9(s202) | node8(s202) | node10(s202) | node11(s202) | node12(s202) | node13(s202, s203) | (~node14(s202, s203))),
% 5.22/4.10 inference(modus_ponens,[status(thm)],[16380, 16379])).
% 5.22/4.10 tff(16382,plain,
% 5.22/4.10 (m_main_v_state2(s202, c_c2) | node9(s202) | node8(s202) | node10(s202) | node11(s202) | node12(s202) | node13(s202, s203)),
% 5.22/4.10 inference(unit_resolution,[status(thm)],[16381, 296, 16378])).
% 5.22/4.10 tff(16383,plain,
% 5.22/4.10 (node13(s202, s203)),
% 5.22/4.10 inference(unit_resolution,[status(thm)],[16382, 16367, 16324, 16320, 16316, 16312, 16295])).
% 5.22/4.10 tff(16384,plain,
% 5.22/4.10 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s202, c_n2) | (~m_main_v_state2(s203, c_n2)) | (~node13(s202, s203)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s202, c_n2) | (~m_main_v_state2(s203, c_n2)) | (~node13(s202, s203)))),
% 5.22/4.10 inference(rewrite,[status(thm)],[])).
% 5.22/4.10 tff(16385,plain,
% 5.22/4.10 (((~node13(s202, s203)) | m_main_v_state2(s202, c_n2) | (~m_main_v_state2(s203, c_n2))) <=> (m_main_v_state2(s202, c_n2) | (~m_main_v_state2(s203, c_n2)) | (~node13(s202, s203)))),
% 5.22/4.10 inference(rewrite,[status(thm)],[])).
% 5.22/4.10 tff(16386,plain,
% 5.22/4.10 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s202, s203)) | m_main_v_state2(s202, c_n2) | (~m_main_v_state2(s203, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | (m_main_v_state2(s202, c_n2) | (~m_main_v_state2(s203, c_n2)) | (~node13(s202, s203))))),
% 5.22/4.10 inference(monotonicity,[status(thm)],[16385])).
% 5.22/4.10 tff(16387,plain,
% 5.22/4.10 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s202, s203)) | m_main_v_state2(s202, c_n2) | (~m_main_v_state2(s203, c_n2)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s202, c_n2) | (~m_main_v_state2(s203, c_n2)) | (~node13(s202, s203)))),
% 5.22/4.10 inference(transitivity,[status(thm)],[16386, 16384])).
% 5.22/4.10 tff(16388,plain,
% 5.22/4.10 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | ((~node13(s202, s203)) | m_main_v_state2(s202, c_n2) | (~m_main_v_state2(s203, c_n2)))),
% 5.22/4.10 inference(quant_inst,[status(thm)],[])).
% 5.22/4.10 tff(16389,plain,
% 5.22/4.10 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | m_main_v_state2(X, V) | (~m_main_v_state2(Y, V)))) | m_main_v_state2(s202, c_n2) | (~m_main_v_state2(s203, c_n2)) | (~node13(s202, s203))),
% 5.22/4.10 inference(modus_ponens,[status(thm)],[16388, 16387])).
% 5.22/4.10 tff(16390,plain,
% 5.22/4.10 (~m_main_v_state2(s203, c_n2)),
% 5.22/4.10 inference(unit_resolution,[status(thm)],[16389, 311, 16308, 16383])).
% 5.22/4.10 tff(16391,plain,
% 5.22/4.10 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s203, c_n2) | (~node9(s203)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s203, c_n2) | (~node9(s203)))),
% 5.22/4.10 inference(rewrite,[status(thm)],[])).
% 5.22/4.10 tff(16392,plain,
% 5.22/4.10 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | (m_main_v_state2(s203, c_n2) | (~node9(s203)))),
% 5.22/4.10 inference(quant_inst,[status(thm)],[])).
% 5.22/4.10 tff(16393,plain,
% 5.22/4.10 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node9(X)))) | m_main_v_state2(s203, c_n2) | (~node9(s203))),
% 5.22/4.10 inference(modus_ponens,[status(thm)],[16392, 16391])).
% 5.22/4.10 tff(16394,plain,
% 5.22/4.10 (~node9(s203)),
% 5.22/4.10 inference(unit_resolution,[status(thm)],[16393, 88, 16390])).
% 5.22/4.10 tff(16395,plain,
% 5.22/4.10 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s203, c_n2) | (~node10(s203)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s203, c_n2) | (~node10(s203)))),
% 5.22/4.10 inference(rewrite,[status(thm)],[])).
% 5.22/4.10 tff(16396,plain,
% 5.22/4.10 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | (m_main_v_state2(s203, c_n2) | (~node10(s203)))),
% 5.22/4.10 inference(quant_inst,[status(thm)],[])).
% 5.22/4.10 tff(16397,plain,
% 5.22/4.10 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node10(X)))) | m_main_v_state2(s203, c_n2) | (~node10(s203))),
% 5.22/4.10 inference(modus_ponens,[status(thm)],[16396, 16395])).
% 5.22/4.10 tff(16398,plain,
% 5.22/4.10 (~node10(s203)),
% 5.22/4.10 inference(unit_resolution,[status(thm)],[16397, 249, 16390])).
% 5.22/4.10 tff(16399,plain,
% 5.22/4.10 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s202, c_t2)) | m_main_v_state2(s203, c_t2) | (~node13(s202, s203)))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s202, c_t2)) | m_main_v_state2(s203, c_t2) | (~node13(s202, s203)))),
% 5.22/4.10 inference(rewrite,[status(thm)],[])).
% 5.22/4.10 tff(16400,plain,
% 5.22/4.10 (((~node13(s202, s203)) | (~m_main_v_state2(s202, c_t2)) | m_main_v_state2(s203, c_t2)) <=> ((~m_main_v_state2(s202, c_t2)) | m_main_v_state2(s203, c_t2) | (~node13(s202, s203)))),
% 5.22/4.10 inference(rewrite,[status(thm)],[])).
% 5.22/4.10 tff(16401,plain,
% 5.22/4.10 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s202, s203)) | (~m_main_v_state2(s202, c_t2)) | m_main_v_state2(s203, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~m_main_v_state2(s202, c_t2)) | m_main_v_state2(s203, c_t2) | (~node13(s202, s203))))),
% 5.22/4.10 inference(monotonicity,[status(thm)],[16400])).
% 5.22/4.10 tff(16402,plain,
% 5.22/4.10 (((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s202, s203)) | (~m_main_v_state2(s202, c_t2)) | m_main_v_state2(s203, c_t2))) <=> ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s202, c_t2)) | m_main_v_state2(s203, c_t2) | (~node13(s202, s203)))),
% 5.22/4.10 inference(transitivity,[status(thm)],[16401, 16399])).
% 5.22/4.10 tff(16403,plain,
% 5.22/4.10 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | ((~node13(s202, s203)) | (~m_main_v_state2(s202, c_t2)) | m_main_v_state2(s203, c_t2))),
% 5.22/4.10 inference(quant_inst,[status(thm)],[])).
% 5.22/4.10 tff(16404,plain,
% 5.22/4.10 ((~![V: $i, Y: $i, X: $i] : ((~node13(X, Y)) | (~m_main_v_state2(X, V)) | m_main_v_state2(Y, V))) | (~m_main_v_state2(s202, c_t2)) | m_main_v_state2(s203, c_t2) | (~node13(s202, s203))),
% 5.22/4.10 inference(modus_ponens,[status(thm)],[16403, 16402])).
% 5.22/4.10 tff(16405,plain,
% 5.22/4.10 (m_main_v_state2(s203, c_t2)),
% 5.22/4.10 inference(unit_resolution,[status(thm)],[16404, 518, 16304, 16383])).
% 5.22/4.10 tff(16406,plain,
% 5.22/4.10 (((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s202, c_t1)) | (~m_main_v_state1(s202, c_c1)))) <=> ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s202, c_t1)) | (~m_main_v_state1(s202, c_c1)))),
% 5.22/4.10 inference(rewrite,[status(thm)],[])).
% 5.22/4.10 tff(16407,plain,
% 5.22/4.10 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | ((~m_main_v_state1(s202, c_t1)) | (~m_main_v_state1(s202, c_c1)))),
% 5.22/4.10 inference(quant_inst,[status(thm)],[])).
% 5.22/4.10 tff(16408,plain,
% 5.22/4.10 ((~![X: $i] : ((~m_main_v_state1(X, c_t1)) | (~m_main_v_state1(X, c_c1)))) | (~m_main_v_state1(s202, c_t1)) | (~m_main_v_state1(s202, c_c1))),
% 5.22/4.10 inference(modus_ponens,[status(thm)],[16407, 16406])).
% 5.22/4.10 tff(16409,plain,
% 5.22/4.10 (~m_main_v_state1(s202, c_t1)),
% 5.22/4.10 inference(unit_resolution,[status(thm)],[16408, 539, 16359])).
% 5.22/4.10 tff(16410,plain,
% 5.22/4.10 (((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s202, c_t1) | (~node5(s202)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s202, c_t1) | (~node5(s202)))),
% 5.22/4.10 inference(rewrite,[status(thm)],[])).
% 5.22/4.10 tff(16411,plain,
% 5.22/4.10 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | (m_main_v_state1(s202, c_t1) | (~node5(s202)))),
% 5.22/4.10 inference(quant_inst,[status(thm)],[])).
% 5.22/4.10 tff(16412,plain,
% 5.22/4.10 ((~![X: $i] : (m_main_v_state1(X, c_t1) | (~node5(X)))) | m_main_v_state1(s202, c_t1) | (~node5(s202))),
% 5.22/4.10 inference(modus_ponens,[status(thm)],[16411, 16410])).
% 5.22/4.10 tff(16413,plain,
% 5.22/4.10 (~node5(s202)),
% 5.22/4.10 inference(unit_resolution,[status(thm)],[16412, 550, 16409])).
% 5.22/4.10 tff(16414,plain,
% 5.22/4.10 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s202, c_n2) | (~node4(s202)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s202, c_n2) | (~node4(s202)))),
% 5.22/4.10 inference(rewrite,[status(thm)],[])).
% 5.22/4.10 tff(16415,plain,
% 5.22/4.10 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | (m_main_v_state2(s202, c_n2) | (~node4(s202)))),
% 5.22/4.10 inference(quant_inst,[status(thm)],[])).
% 5.22/4.10 tff(16416,plain,
% 5.22/4.10 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node4(X)))) | m_main_v_state2(s202, c_n2) | (~node4(s202))),
% 5.22/4.10 inference(modus_ponens,[status(thm)],[16415, 16414])).
% 5.22/4.10 tff(16417,plain,
% 5.22/4.10 (~node4(s202)),
% 5.22/4.10 inference(unit_resolution,[status(thm)],[16416, 388, 16308])).
% 5.22/4.10 tff(16418,plain,
% 5.22/4.10 (((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s202, c_c2) | (~node3(s202)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s202, c_c2) | (~node3(s202)))),
% 5.22/4.10 inference(rewrite,[status(thm)],[])).
% 5.22/4.10 tff(16419,plain,
% 5.22/4.10 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | (m_main_v_state2(s202, c_c2) | (~node3(s202)))),
% 5.22/4.10 inference(quant_inst,[status(thm)],[])).
% 5.22/4.10 tff(16420,plain,
% 5.22/4.10 ((~![X: $i] : (m_main_v_state2(X, c_c2) | (~node3(X)))) | m_main_v_state2(s202, c_c2) | (~node3(s202))),
% 5.22/4.10 inference(modus_ponens,[status(thm)],[16419, 16418])).
% 5.22/4.10 tff(16421,plain,
% 5.22/4.10 (~node3(s202)),
% 5.22/4.10 inference(unit_resolution,[status(thm)],[16420, 399, 16324])).
% 5.22/4.10 tff(16422,plain,
% 5.22/4.10 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s202, c_n2) | (~node2(s202)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s202, c_n2) | (~node2(s202)))),
% 5.22/4.10 inference(rewrite,[status(thm)],[])).
% 5.22/4.10 tff(16423,plain,
% 5.22/4.10 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | (m_main_v_state2(s202, c_n2) | (~node2(s202)))),
% 5.22/4.10 inference(quant_inst,[status(thm)],[])).
% 5.22/4.10 tff(16424,plain,
% 5.22/4.10 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node2(X)))) | m_main_v_state2(s202, c_n2) | (~node2(s202))),
% 5.22/4.10 inference(modus_ponens,[status(thm)],[16423, 16422])).
% 5.22/4.10 tff(16425,plain,
% 5.22/4.10 (~node2(s202)),
% 5.22/4.10 inference(unit_resolution,[status(thm)],[16424, 410, 16308])).
% 5.22/4.10 tff(16426,plain,
% 5.22/4.10 (((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s202, c_n1) | (~node1(s202)))) <=> ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s202, c_n1) | (~node1(s202)))),
% 5.22/4.10 inference(rewrite,[status(thm)],[])).
% 5.22/4.10 tff(16427,plain,
% 5.22/4.10 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | (m_main_v_state1(s202, c_n1) | (~node1(s202)))),
% 5.22/4.10 inference(quant_inst,[status(thm)],[])).
% 5.22/4.10 tff(16428,plain,
% 5.22/4.10 ((~![X: $i] : (m_main_v_state1(X, c_n1) | (~node1(X)))) | m_main_v_state1(s202, c_n1) | (~node1(s202))),
% 5.22/4.10 inference(modus_ponens,[status(thm)],[16427, 16426])).
% 5.22/4.10 tff(16429,plain,
% 5.22/4.10 (~node1(s202)),
% 5.22/4.10 inference(unit_resolution,[status(thm)],[16428, 421, 16363])).
% 5.22/4.10 tff(16430,plain,
% 5.22/4.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s202, s203)) | node7(s202, s203))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s202, s203)) | node7(s202, s203))),
% 5.22/4.10 inference(rewrite,[status(thm)],[])).
% 5.22/4.10 tff(16431,plain,
% 5.22/4.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | ((~trans(s202, s203)) | node7(s202, s203))),
% 5.22/4.10 inference(quant_inst,[status(thm)],[])).
% 5.22/4.10 tff(16432,plain,
% 5.22/4.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node7(X, Y))) | (~trans(s202, s203)) | node7(s202, s203)),
% 5.22/4.10 inference(modus_ponens,[status(thm)],[16431, 16430])).
% 5.22/4.10 tff(16433,plain,
% 5.22/4.10 (node7(s202, s203)),
% 5.22/4.10 inference(unit_resolution,[status(thm)],[16432, 206, 16374])).
% 5.22/4.10 tff(16434,plain,
% 5.22/4.10 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s203, c_n1) | (~m_main_v_state1(s202, c_c1)) | node1(s202) | node2(s202) | node3(s202) | node4(s202) | node5(s202) | (~node7(s202, s203)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s203, c_n1) | (~m_main_v_state1(s202, c_c1)) | node1(s202) | node2(s202) | node3(s202) | node4(s202) | node5(s202) | (~node7(s202, s203)))),
% 5.22/4.10 inference(rewrite,[status(thm)],[])).
% 5.22/4.10 tff(16435,plain,
% 5.22/4.10 (((~m_main_v_state1(s202, c_c1)) | node1(s202) | node2(s202) | node3(s202) | node4(s202) | node5(s202) | (~node7(s202, s203)) | m_main_v_state1(s203, c_n1)) <=> (m_main_v_state1(s203, c_n1) | (~m_main_v_state1(s202, c_c1)) | node1(s202) | node2(s202) | node3(s202) | node4(s202) | node5(s202) | (~node7(s202, s203)))),
% 5.22/4.10 inference(rewrite,[status(thm)],[])).
% 5.22/4.10 tff(16436,plain,
% 5.22/4.10 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s202, c_c1)) | node1(s202) | node2(s202) | node3(s202) | node4(s202) | node5(s202) | (~node7(s202, s203)) | m_main_v_state1(s203, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | (m_main_v_state1(s203, c_n1) | (~m_main_v_state1(s202, c_c1)) | node1(s202) | node2(s202) | node3(s202) | node4(s202) | node5(s202) | (~node7(s202, s203))))),
% 5.22/4.11 inference(monotonicity,[status(thm)],[16435])).
% 5.22/4.11 tff(16437,plain,
% 5.22/4.11 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s202, c_c1)) | node1(s202) | node2(s202) | node3(s202) | node4(s202) | node5(s202) | (~node7(s202, s203)) | m_main_v_state1(s203, c_n1))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s203, c_n1) | (~m_main_v_state1(s202, c_c1)) | node1(s202) | node2(s202) | node3(s202) | node4(s202) | node5(s202) | (~node7(s202, s203)))),
% 5.22/4.11 inference(transitivity,[status(thm)],[16436, 16434])).
% 5.22/4.11 tff(16438,plain,
% 5.22/4.11 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | ((~m_main_v_state1(s202, c_c1)) | node1(s202) | node2(s202) | node3(s202) | node4(s202) | node5(s202) | (~node7(s202, s203)) | m_main_v_state1(s203, c_n1))),
% 5.22/4.11 inference(quant_inst,[status(thm)],[])).
% 5.22/4.11 tff(16439,plain,
% 5.22/4.11 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_c1)) | node1(X) | node2(X) | node3(X) | node4(X) | node5(X) | (~node7(X, Y)) | m_main_v_state1(Y, c_n1))) | m_main_v_state1(s203, c_n1) | (~m_main_v_state1(s202, c_c1)) | node1(s202) | node2(s202) | node3(s202) | node4(s202) | node5(s202) | (~node7(s202, s203))),
% 5.22/4.11 inference(modus_ponens,[status(thm)],[16438, 16437])).
% 5.22/4.11 tff(16440,plain,
% 5.22/4.11 (m_main_v_state1(s203, c_n1) | (~m_main_v_state1(s202, c_c1)) | node1(s202) | node2(s202) | node3(s202) | node4(s202) | node5(s202)),
% 5.22/4.11 inference(unit_resolution,[status(thm)],[16439, 584, 16433])).
% 5.22/4.11 tff(16441,plain,
% 5.22/4.11 (m_main_v_state1(s203, c_n1)),
% 5.22/4.11 inference(unit_resolution,[status(thm)],[16440, 16429, 16359, 16425, 16421, 16417, 16413])).
% 5.22/4.11 tff(16442,plain,
% 5.22/4.11 (((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s203, c_n2) | (~node8(s203)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s203, c_n2) | (~node8(s203)))),
% 5.22/4.11 inference(rewrite,[status(thm)],[])).
% 5.22/4.11 tff(16443,plain,
% 5.22/4.11 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | (m_main_v_state2(s203, c_n2) | (~node8(s203)))),
% 5.22/4.11 inference(quant_inst,[status(thm)],[])).
% 5.22/4.11 tff(16444,plain,
% 5.22/4.11 ((~![X: $i] : (m_main_v_state2(X, c_n2) | (~node8(X)))) | m_main_v_state2(s203, c_n2) | (~node8(s203))),
% 5.22/4.11 inference(modus_ponens,[status(thm)],[16443, 16442])).
% 5.22/4.11 tff(16445,plain,
% 5.22/4.11 (~node8(s203)),
% 5.22/4.11 inference(unit_resolution,[status(thm)],[16444, 271, 16390])).
% 5.22/4.11 tff(16446,plain,
% 5.22/4.11 (succ(s203, s204) <=> succ(s203, s204)),
% 5.22/4.11 inference(rewrite,[status(thm)],[])).
% 5.22/4.11 tff(16447,axiom,(succ(s203, s204)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound204')).
% 5.22/4.11 tff(16448,plain,
% 5.22/4.11 (succ(s203, s204)),
% 5.22/4.11 inference(modus_ponens,[status(thm)],[16447, 16446])).
% 5.22/4.11 tff(16449,plain,
% 5.22/4.11 (((~![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))),
% 5.22/4.11 inference(rewrite,[status(thm)],[])).
% 5.22/4.11 tff(16450,plain,
% 5.22/4.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s203, s204)) | trans(s203, s204))),
% 5.22/4.11 inference(quant_inst,[status(thm)],[])).
% 5.22/4.11 tff(16451,plain,
% 5.22/4.11 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s203, s204)) | trans(s203, s204)),
% 5.22/4.11 inference(modus_ponens,[status(thm)],[16450, 16449])).
% 5.22/4.11 tff(16452,plain,
% 5.22/4.11 (trans(s203, s204)),
% 5.22/4.11 inference(unit_resolution,[status(thm)],[16451, 16448, 32])).
% 5.22/4.11 tff(16453,plain,
% 5.22/4.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s203, s204)) | node14(s203, s204))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s203, s204)) | node14(s203, s204))),
% 5.22/4.11 inference(rewrite,[status(thm)],[])).
% 5.22/4.11 tff(16454,plain,
% 5.22/4.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | ((~trans(s203, s204)) | node14(s203, s204))),
% 5.22/4.11 inference(quant_inst,[status(thm)],[])).
% 5.22/4.11 tff(16455,plain,
% 5.22/4.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node14(X, Y))) | (~trans(s203, s204)) | node14(s203, s204)),
% 5.22/4.11 inference(modus_ponens,[status(thm)],[16454, 16453])).
% 5.22/4.11 tff(16456,plain,
% 5.22/4.11 (node14(s203, s204)),
% 5.22/4.11 inference(unit_resolution,[status(thm)],[16455, 46, 16452])).
% 5.22/4.11 tff(16457,plain,
% 5.22/4.11 (((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s203, c_n1)) | (~m_main_v_state2(s203, c_t2)) | node9(s203) | node8(s203) | node10(s203) | (~node14(s203, s204)) | m_main_v_state2(s204, c_c2))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s203, c_n1)) | (~m_main_v_state2(s203, c_t2)) | node9(s203) | node8(s203) | node10(s203) | (~node14(s203, s204)) | m_main_v_state2(s204, c_c2))),
% 5.22/4.11 inference(rewrite,[status(thm)],[])).
% 5.22/4.11 tff(16458,plain,
% 5.22/4.11 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | ((~m_main_v_state1(s203, c_n1)) | (~m_main_v_state2(s203, c_t2)) | node9(s203) | node8(s203) | node10(s203) | (~node14(s203, s204)) | m_main_v_state2(s204, c_c2))),
% 5.22/4.11 inference(quant_inst,[status(thm)],[])).
% 5.22/4.11 tff(16459,plain,
% 5.22/4.11 ((~![Y: $i, X: $i] : ((~m_main_v_state1(X, c_n1)) | (~m_main_v_state2(X, c_t2)) | node9(X) | node8(X) | node10(X) | (~node14(X, Y)) | m_main_v_state2(Y, c_c2))) | (~m_main_v_state1(s203, c_n1)) | (~m_main_v_state2(s203, c_t2)) | node9(s203) | node8(s203) | node10(s203) | (~node14(s203, s204)) | m_main_v_state2(s204, c_c2)),
% 5.22/4.11 inference(modus_ponens,[status(thm)],[16458, 16457])).
% 5.22/4.11 tff(16460,plain,
% 5.22/4.11 ((~m_main_v_state1(s203, c_n1)) | (~m_main_v_state2(s203, c_t2)) | node9(s203) | node8(s203) | node10(s203) | m_main_v_state2(s204, c_c2)),
% 5.22/4.11 inference(unit_resolution,[status(thm)],[16459, 617, 16456])).
% 5.22/4.11 tff(16461,plain,
% 5.22/4.11 (m_main_v_state2(s204, c_c2)),
% 5.22/4.11 inference(unit_resolution,[status(thm)],[16460, 16445, 16441, 16405, 16398, 16394])).
% 5.22/4.11 tff(16462,plain,
% 5.22/4.11 (^[X: $i] : refl(((~m_main_v_state2(X, c_c2)) | (~always25(X))) <=> ((~m_main_v_state2(X, c_c2)) | (~always25(X))))),
% 5.22/4.11 inference(bind,[status(th)],[])).
% 5.22/4.11 tff(16463,plain,
% 5.22/4.11 (![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X))) <=> ![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))),
% 5.22/4.11 inference(quant_intro,[status(thm)],[16462])).
% 5.22/4.11 tff(16464,plain,
% 5.22/4.11 (![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X))) <=> ![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))),
% 5.22/4.11 inference(rewrite,[status(thm)],[])).
% 5.22/4.11 tff(16465,axiom,(![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty14')).
% 5.22/4.11 tff(16466,plain,
% 5.22/4.11 (![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))),
% 5.22/4.11 inference(modus_ponens,[status(thm)],[16465, 16464])).
% 5.22/4.11 tff(16467,plain,(
% 5.22/4.11 ![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))),
% 5.22/4.11 inference(skolemize,[status(sab)],[16466])).
% 5.22/4.11 tff(16468,plain,
% 5.22/4.11 (![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))),
% 5.22/4.11 inference(modus_ponens,[status(thm)],[16467, 16463])).
% 5.22/4.11 tff(16469,plain,
% 5.22/4.11 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s204)) | (~m_main_v_state2(s204, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s204)) | (~m_main_v_state2(s204, c_c2)))),
% 5.22/4.11 inference(rewrite,[status(thm)],[])).
% 5.22/4.11 tff(16470,plain,
% 5.22/4.11 (((~m_main_v_state2(s204, c_c2)) | (~always25(s204))) <=> ((~always25(s204)) | (~m_main_v_state2(s204, c_c2)))),
% 5.22/4.11 inference(rewrite,[status(thm)],[])).
% 5.22/4.11 tff(16471,plain,
% 5.22/4.11 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s204, c_c2)) | (~always25(s204)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s204)) | (~m_main_v_state2(s204, c_c2))))),
% 5.22/4.11 inference(monotonicity,[status(thm)],[16470])).
% 5.22/4.11 tff(16472,plain,
% 5.22/4.11 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s204, c_c2)) | (~always25(s204)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s204)) | (~m_main_v_state2(s204, c_c2)))),
% 5.22/4.11 inference(transitivity,[status(thm)],[16471, 16469])).
% 5.22/4.11 tff(16473,plain,
% 5.22/4.11 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s204, c_c2)) | (~always25(s204)))),
% 5.22/4.11 inference(quant_inst,[status(thm)],[])).
% 5.22/4.11 tff(16474,plain,
% 5.22/4.11 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s204)) | (~m_main_v_state2(s204, c_c2))),
% 5.22/4.11 inference(modus_ponens,[status(thm)],[16473, 16472])).
% 5.22/4.11 tff(16475,plain,
% 5.22/4.11 (~always25(s204)),
% 5.22/4.11 inference(unit_resolution,[status(thm)],[16474, 16468, 16461])).
% 5.22/4.11 tff(16476,plain,
% 5.22/4.11 (^[Y: $i, X: $i] : refl(((~trans(X, Y)) | (~always25(X)) | always25(Y)) <=> ((~trans(X, Y)) | (~always25(X)) | always25(Y)))),
% 5.22/4.11 inference(bind,[status(th)],[])).
% 5.22/4.11 tff(16477,plain,
% 5.22/4.11 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))),
% 5.22/4.11 inference(quant_intro,[status(thm)],[16476])).
% 5.22/4.11 tff(16478,plain,
% 5.22/4.11 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))),
% 5.22/4.11 inference(rewrite,[status(thm)],[])).
% 5.22/4.11 tff(16479,plain,
% 5.22/4.11 (^[Y: $i, X: $i] : rewrite(((always25(Y) | (~trans(X, Y))) | (~always25(X))) <=> ((~trans(X, Y)) | (~always25(X)) | always25(Y)))),
% 5.22/4.11 inference(bind,[status(th)],[])).
% 5.22/4.11 tff(16480,plain,
% 5.22/4.11 (![Y: $i, X: $i] : ((always25(Y) | (~trans(X, Y))) | (~always25(X))) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))),
% 5.22/4.11 inference(quant_intro,[status(thm)],[16479])).
% 5.22/4.11 tff(16481,axiom,(![Y: $i, X: $i] : ((always25(Y) | (~trans(X, Y))) | (~always25(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty15')).
% 5.22/4.11 tff(16482,plain,
% 5.22/4.11 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))),
% 5.22/4.11 inference(modus_ponens,[status(thm)],[16481, 16480])).
% 5.22/4.11 tff(16483,plain,
% 5.22/4.11 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))),
% 5.22/4.11 inference(modus_ponens,[status(thm)],[16482, 16478])).
% 5.22/4.11 tff(16484,plain,(
% 5.22/4.11 ![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))),
% 5.22/4.11 inference(skolemize,[status(sab)],[16483])).
% 5.22/4.11 tff(16485,plain,
% 5.22/4.11 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))),
% 5.22/4.11 inference(modus_ponens,[status(thm)],[16484, 16477])).
% 5.22/4.11 tff(16486,plain,
% 5.22/4.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (always25(s204) | (~trans(s203, s204)) | (~always25(s203)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | always25(s204) | (~trans(s203, s204)) | (~always25(s203)))),
% 5.22/4.11 inference(rewrite,[status(thm)],[])).
% 5.22/4.11 tff(16487,plain,
% 5.22/4.11 (((~trans(s203, s204)) | (~always25(s203)) | always25(s204)) <=> (always25(s204) | (~trans(s203, s204)) | (~always25(s203)))),
% 5.22/4.11 inference(rewrite,[status(thm)],[])).
% 5.22/4.11 tff(16488,plain,
% 5.22/4.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s203, s204)) | (~always25(s203)) | always25(s204))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (always25(s204) | (~trans(s203, s204)) | (~always25(s203))))),
% 5.22/4.11 inference(monotonicity,[status(thm)],[16487])).
% 5.22/4.11 tff(16489,plain,
% 5.22/4.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s203, s204)) | (~always25(s203)) | always25(s204))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | always25(s204) | (~trans(s203, s204)) | (~always25(s203)))),
% 5.22/4.11 inference(transitivity,[status(thm)],[16488, 16486])).
% 5.22/4.11 tff(16490,plain,
% 5.22/4.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s203, s204)) | (~always25(s203)) | always25(s204))),
% 5.22/4.11 inference(quant_inst,[status(thm)],[])).
% 5.22/4.11 tff(16491,plain,
% 5.22/4.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | always25(s204) | (~trans(s203, s204)) | (~always25(s203))),
% 5.22/4.11 inference(modus_ponens,[status(thm)],[16490, 16489])).
% 5.22/4.11 tff(16492,plain,
% 5.22/4.11 (always25(s204) | (~always25(s203))),
% 5.22/4.11 inference(unit_resolution,[status(thm)],[16491, 16485, 16452])).
% 5.22/4.11 tff(16493,plain,
% 5.22/4.11 (~always25(s203)),
% 5.22/4.11 inference(unit_resolution,[status(thm)],[16492, 16475])).
% 5.22/4.11 tff(16494,plain,
% 5.22/4.11 (^[X: $i] : refl((always25(X) | (~node26(X))) <=> (always25(X) | (~node26(X))))),
% 5.22/4.11 inference(bind,[status(th)],[])).
% 5.22/4.11 tff(16495,plain,
% 5.22/4.11 (![X: $i] : (always25(X) | (~node26(X))) <=> ![X: $i] : (always25(X) | (~node26(X)))),
% 5.22/4.11 inference(quant_intro,[status(thm)],[16494])).
% 5.22/4.11 tff(16496,plain,
% 5.22/4.11 (![X: $i] : (always25(X) | (~node26(X))) <=> ![X: $i] : (always25(X) | (~node26(X)))),
% 5.22/4.11 inference(rewrite,[status(thm)],[])).
% 5.22/4.11 tff(16497,axiom,(![X: $i] : (always25(X) | (~node26(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty18')).
% 5.22/4.11 tff(16498,plain,
% 5.22/4.11 (![X: $i] : (always25(X) | (~node26(X)))),
% 5.22/4.11 inference(modus_ponens,[status(thm)],[16497, 16496])).
% 5.22/4.11 tff(16499,plain,(
% 5.22/4.11 ![X: $i] : (always25(X) | (~node26(X)))),
% 5.22/4.11 inference(skolemize,[status(sab)],[16498])).
% 5.22/4.11 tff(16500,plain,
% 5.22/4.11 (![X: $i] : (always25(X) | (~node26(X)))),
% 5.22/4.11 inference(modus_ponens,[status(thm)],[16499, 16495])).
% 5.22/4.11 tff(16501,plain,
% 5.22/4.11 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s203) | (~node26(s203)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s203) | (~node26(s203)))),
% 5.22/4.11 inference(rewrite,[status(thm)],[])).
% 5.22/4.11 tff(16502,plain,
% 5.22/4.11 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s203) | (~node26(s203)))),
% 5.22/4.11 inference(quant_inst,[status(thm)],[])).
% 5.22/4.11 tff(16503,plain,
% 5.22/4.11 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s203) | (~node26(s203))),
% 5.22/4.11 inference(modus_ponens,[status(thm)],[16502, 16501])).
% 5.22/4.11 tff(16504,plain,
% 5.22/4.11 (~node26(s203)),
% 5.22/4.11 inference(unit_resolution,[status(thm)],[16503, 16500, 16493])).
% 5.22/4.11 tff(16505,plain,
% 5.22/4.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s202, s203)) | (~always25(s202)) | always25(s203))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s202, s203)) | (~always25(s202)) | always25(s203))),
% 5.22/4.11 inference(rewrite,[status(thm)],[])).
% 5.22/4.11 tff(16506,plain,
% 5.22/4.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s202, s203)) | (~always25(s202)) | always25(s203))),
% 5.22/4.11 inference(quant_inst,[status(thm)],[])).
% 5.22/4.11 tff(16507,plain,
% 5.22/4.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s202, s203)) | (~always25(s202)) | always25(s203)),
% 5.22/4.11 inference(modus_ponens,[status(thm)],[16506, 16505])).
% 5.22/4.11 tff(16508,plain,
% 5.22/4.11 ((~always25(s202)) | always25(s203)),
% 5.22/4.11 inference(unit_resolution,[status(thm)],[16507, 16485, 16374])).
% 5.22/4.11 tff(16509,plain,
% 5.22/4.11 (~always25(s202)),
% 5.22/4.11 inference(unit_resolution,[status(thm)],[16508, 16493])).
% 5.22/4.11 tff(16510,plain,
% 5.22/4.11 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s202) | (~node26(s202)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s202) | (~node26(s202)))),
% 5.22/4.11 inference(rewrite,[status(thm)],[])).
% 5.22/4.11 tff(16511,plain,
% 5.22/4.11 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s202) | (~node26(s202)))),
% 5.22/4.11 inference(quant_inst,[status(thm)],[])).
% 5.22/4.11 tff(16512,plain,
% 5.22/4.11 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s202) | (~node26(s202))),
% 5.22/4.11 inference(modus_ponens,[status(thm)],[16511, 16510])).
% 5.22/4.11 tff(16513,plain,
% 5.22/4.11 (~node26(s202)),
% 5.22/4.11 inference(unit_resolution,[status(thm)],[16512, 16500, 16509])).
% 5.22/4.11 tff(16514,plain,
% 5.22/4.11 (^[X: $i] : refl((m_main_v_state2(X, c_t2) | (~node26(X))) <=> (m_main_v_state2(X, c_t2) | (~node26(X))))),
% 5.22/4.11 inference(bind,[status(th)],[])).
% 5.22/4.11 tff(16515,plain,
% 5.22/4.11 (![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X))) <=> ![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))),
% 5.22/4.11 inference(quant_intro,[status(thm)],[16514])).
% 5.22/4.11 tff(16516,plain,
% 5.22/4.11 (![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X))) <=> ![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))),
% 5.22/4.11 inference(rewrite,[status(thm)],[])).
% 5.22/4.11 tff(16517,axiom,(![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty17')).
% 5.22/4.11 tff(16518,plain,
% 5.22/4.11 (![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))),
% 5.22/4.11 inference(modus_ponens,[status(thm)],[16517, 16516])).
% 5.22/4.11 tff(16519,plain,(
% 5.22/4.11 ![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))),
% 5.22/4.11 inference(skolemize,[status(sab)],[16518])).
% 5.22/4.11 tff(16520,plain,
% 5.22/4.11 (![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))),
% 5.22/4.11 inference(modus_ponens,[status(thm)],[16519, 16515])).
% 5.22/4.11 tff(16521,plain,
% 5.22/4.11 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s201, c_t2) | (~node26(s201)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s201, c_t2) | (~node26(s201)))),
% 5.22/4.11 inference(rewrite,[status(thm)],[])).
% 5.22/4.11 tff(16522,plain,
% 5.22/4.11 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s201, c_t2) | (~node26(s201)))),
% 5.22/4.11 inference(quant_inst,[status(thm)],[])).
% 5.22/4.11 tff(16523,plain,
% 5.22/4.11 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s201, c_t2) | (~node26(s201))),
% 5.22/4.11 inference(modus_ponens,[status(thm)],[16522, 16521])).
% 5.22/4.11 tff(16524,plain,
% 5.22/4.11 (~node26(s201)),
% 5.22/4.11 inference(unit_resolution,[status(thm)],[16523, 16520, 16264])).
% 5.22/4.11 tff(16525,plain,
% 5.22/4.11 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s200)) | (~m_main_v_state2(s200, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s200)) | (~m_main_v_state2(s200, c_c2)))),
% 5.22/4.11 inference(rewrite,[status(thm)],[])).
% 5.22/4.11 tff(16526,plain,
% 5.22/4.11 (((~m_main_v_state2(s200, c_c2)) | (~always25(s200))) <=> ((~always25(s200)) | (~m_main_v_state2(s200, c_c2)))),
% 5.22/4.11 inference(rewrite,[status(thm)],[])).
% 5.22/4.11 tff(16527,plain,
% 5.22/4.11 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s200, c_c2)) | (~always25(s200)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s200)) | (~m_main_v_state2(s200, c_c2))))),
% 5.22/4.11 inference(monotonicity,[status(thm)],[16526])).
% 5.22/4.11 tff(16528,plain,
% 5.22/4.11 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s200, c_c2)) | (~always25(s200)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s200)) | (~m_main_v_state2(s200, c_c2)))),
% 5.22/4.11 inference(transitivity,[status(thm)],[16527, 16525])).
% 5.22/4.11 tff(16529,plain,
% 5.22/4.11 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s200, c_c2)) | (~always25(s200)))),
% 5.22/4.11 inference(quant_inst,[status(thm)],[])).
% 5.22/4.11 tff(16530,plain,
% 5.22/4.11 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s200)) | (~m_main_v_state2(s200, c_c2))),
% 5.22/4.11 inference(modus_ponens,[status(thm)],[16529, 16528])).
% 5.22/4.11 tff(16531,plain,
% 5.22/4.11 (~always25(s200)),
% 5.22/4.11 inference(unit_resolution,[status(thm)],[16530, 16468, 16193])).
% 5.22/4.11 tff(16532,plain,
% 5.22/4.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s200)) | (~always25(s199)) | always25(s200))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s199, s200)) | (~always25(s199)) | always25(s200))),
% 5.22/4.11 inference(rewrite,[status(thm)],[])).
% 5.22/4.11 tff(16533,plain,
% 5.22/4.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s199, s200)) | (~always25(s199)) | always25(s200))),
% 5.22/4.11 inference(quant_inst,[status(thm)],[])).
% 5.22/4.11 tff(16534,plain,
% 5.22/4.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s199, s200)) | (~always25(s199)) | always25(s200)),
% 5.22/4.11 inference(modus_ponens,[status(thm)],[16533, 16532])).
% 5.22/4.11 tff(16535,plain,
% 5.22/4.11 ((~always25(s199)) | always25(s200)),
% 5.22/4.11 inference(unit_resolution,[status(thm)],[16534, 16485, 16119])).
% 5.22/4.11 tff(16536,plain,
% 5.22/4.11 (~always25(s199)),
% 5.22/4.11 inference(unit_resolution,[status(thm)],[16535, 16531])).
% 5.22/4.11 tff(16537,plain,
% 5.22/4.11 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s199) | (~node26(s199)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s199) | (~node26(s199)))),
% 5.22/4.11 inference(rewrite,[status(thm)],[])).
% 5.22/4.11 tff(16538,plain,
% 5.22/4.11 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s199) | (~node26(s199)))),
% 5.22/4.11 inference(quant_inst,[status(thm)],[])).
% 5.22/4.11 tff(16539,plain,
% 5.22/4.11 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s199) | (~node26(s199))),
% 5.22/4.11 inference(modus_ponens,[status(thm)],[16538, 16537])).
% 5.22/4.11 tff(16540,plain,
% 5.22/4.11 (~node26(s199)),
% 5.22/4.11 inference(unit_resolution,[status(thm)],[16539, 16500, 16536])).
% 5.22/4.11 tff(16541,plain,
% 5.22/4.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s198, s199)) | (~always25(s198)) | always25(s199))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s198, s199)) | (~always25(s198)) | always25(s199))),
% 5.22/4.11 inference(rewrite,[status(thm)],[])).
% 5.22/4.11 tff(16542,plain,
% 5.22/4.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s198, s199)) | (~always25(s198)) | always25(s199))),
% 5.22/4.11 inference(quant_inst,[status(thm)],[])).
% 5.22/4.11 tff(16543,plain,
% 5.22/4.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s198, s199)) | (~always25(s198)) | always25(s199)),
% 5.22/4.11 inference(modus_ponens,[status(thm)],[16542, 16541])).
% 5.22/4.11 tff(16544,plain,
% 5.22/4.11 ((~always25(s198)) | always25(s199)),
% 5.22/4.11 inference(unit_resolution,[status(thm)],[16543, 16485, 16044])).
% 5.22/4.11 tff(16545,plain,
% 5.22/4.11 (~always25(s198)),
% 5.22/4.11 inference(unit_resolution,[status(thm)],[16544, 16536])).
% 5.22/4.11 tff(16546,plain,
% 5.22/4.11 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s198) | (~node26(s198)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s198) | (~node26(s198)))),
% 5.22/4.11 inference(rewrite,[status(thm)],[])).
% 5.22/4.11 tff(16547,plain,
% 5.22/4.11 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s198) | (~node26(s198)))),
% 5.22/4.11 inference(quant_inst,[status(thm)],[])).
% 5.22/4.11 tff(16548,plain,
% 5.22/4.11 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s198) | (~node26(s198))),
% 5.22/4.11 inference(modus_ponens,[status(thm)],[16547, 16546])).
% 5.22/4.11 tff(16549,plain,
% 5.22/4.11 (~node26(s198)),
% 5.22/4.11 inference(unit_resolution,[status(thm)],[16548, 16500, 16545])).
% 5.22/4.11 tff(16550,plain,
% 5.22/4.11 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s197, c_t2) | (~node26(s197)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s197, c_t2) | (~node26(s197)))),
% 5.22/4.11 inference(rewrite,[status(thm)],[])).
% 5.22/4.11 tff(16551,plain,
% 5.22/4.11 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s197, c_t2) | (~node26(s197)))),
% 5.22/4.11 inference(quant_inst,[status(thm)],[])).
% 5.22/4.11 tff(16552,plain,
% 5.22/4.11 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s197, c_t2) | (~node26(s197))),
% 5.22/4.11 inference(modus_ponens,[status(thm)],[16551, 16550])).
% 5.22/4.11 tff(16553,plain,
% 5.22/4.11 (~node26(s197)),
% 5.22/4.11 inference(unit_resolution,[status(thm)],[16552, 16520, 15969])).
% 5.22/4.11 tff(16554,plain,
% 5.22/4.11 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s196)) | (~m_main_v_state2(s196, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s196)) | (~m_main_v_state2(s196, c_c2)))),
% 5.22/4.11 inference(rewrite,[status(thm)],[])).
% 5.22/4.11 tff(16555,plain,
% 5.22/4.11 (((~m_main_v_state2(s196, c_c2)) | (~always25(s196))) <=> ((~always25(s196)) | (~m_main_v_state2(s196, c_c2)))),
% 5.22/4.11 inference(rewrite,[status(thm)],[])).
% 5.22/4.11 tff(16556,plain,
% 5.22/4.11 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s196, c_c2)) | (~always25(s196)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s196)) | (~m_main_v_state2(s196, c_c2))))),
% 5.22/4.11 inference(monotonicity,[status(thm)],[16555])).
% 5.22/4.11 tff(16557,plain,
% 5.22/4.11 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s196, c_c2)) | (~always25(s196)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s196)) | (~m_main_v_state2(s196, c_c2)))),
% 5.22/4.11 inference(transitivity,[status(thm)],[16556, 16554])).
% 5.22/4.11 tff(16558,plain,
% 5.22/4.11 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s196, c_c2)) | (~always25(s196)))),
% 5.22/4.11 inference(quant_inst,[status(thm)],[])).
% 5.22/4.11 tff(16559,plain,
% 5.22/4.11 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s196)) | (~m_main_v_state2(s196, c_c2))),
% 5.22/4.11 inference(modus_ponens,[status(thm)],[16558, 16557])).
% 5.22/4.11 tff(16560,plain,
% 5.22/4.11 (~always25(s196)),
% 5.22/4.11 inference(unit_resolution,[status(thm)],[16559, 16468, 15833])).
% 5.22/4.11 tff(16561,plain,
% 5.22/4.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s195, s196)) | (~always25(s195)) | always25(s196))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s195, s196)) | (~always25(s195)) | always25(s196))),
% 5.22/4.11 inference(rewrite,[status(thm)],[])).
% 5.22/4.11 tff(16562,plain,
% 5.22/4.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s195, s196)) | (~always25(s195)) | always25(s196))),
% 5.22/4.11 inference(quant_inst,[status(thm)],[])).
% 5.22/4.11 tff(16563,plain,
% 5.22/4.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s195, s196)) | (~always25(s195)) | always25(s196)),
% 5.22/4.11 inference(modus_ponens,[status(thm)],[16562, 16561])).
% 5.22/4.11 tff(16564,plain,
% 5.22/4.11 ((~always25(s195)) | always25(s196)),
% 5.22/4.11 inference(unit_resolution,[status(thm)],[16563, 16485, 15824])).
% 5.22/4.11 tff(16565,plain,
% 5.22/4.11 (~always25(s195)),
% 5.22/4.11 inference(unit_resolution,[status(thm)],[16564, 16560])).
% 5.22/4.11 tff(16566,plain,
% 5.22/4.11 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s195) | (~node26(s195)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s195) | (~node26(s195)))),
% 5.22/4.11 inference(rewrite,[status(thm)],[])).
% 5.22/4.11 tff(16567,plain,
% 5.22/4.11 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s195) | (~node26(s195)))),
% 5.22/4.11 inference(quant_inst,[status(thm)],[])).
% 5.22/4.11 tff(16568,plain,
% 5.22/4.11 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s195) | (~node26(s195))),
% 5.22/4.11 inference(modus_ponens,[status(thm)],[16567, 16566])).
% 5.22/4.11 tff(16569,plain,
% 5.22/4.11 (~node26(s195)),
% 5.22/4.11 inference(unit_resolution,[status(thm)],[16568, 16500, 16565])).
% 5.22/4.11 tff(16570,plain,
% 5.22/4.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s194, s195)) | (~always25(s194)) | always25(s195))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s194, s195)) | (~always25(s194)) | always25(s195))),
% 5.22/4.11 inference(rewrite,[status(thm)],[])).
% 5.22/4.11 tff(16571,plain,
% 5.22/4.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s194, s195)) | (~always25(s194)) | always25(s195))),
% 5.22/4.11 inference(quant_inst,[status(thm)],[])).
% 5.22/4.11 tff(16572,plain,
% 5.22/4.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s194, s195)) | (~always25(s194)) | always25(s195)),
% 5.22/4.11 inference(modus_ponens,[status(thm)],[16571, 16570])).
% 5.22/4.11 tff(16573,plain,
% 5.22/4.11 ((~always25(s194)) | always25(s195)),
% 5.22/4.11 inference(unit_resolution,[status(thm)],[16572, 16485, 15746])).
% 5.22/4.11 tff(16574,plain,
% 5.22/4.11 (~always25(s194)),
% 5.22/4.11 inference(unit_resolution,[status(thm)],[16573, 16565])).
% 5.22/4.11 tff(16575,plain,
% 5.22/4.11 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s194) | (~node26(s194)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s194) | (~node26(s194)))),
% 5.22/4.11 inference(rewrite,[status(thm)],[])).
% 5.22/4.11 tff(16576,plain,
% 5.22/4.11 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s194) | (~node26(s194)))),
% 5.22/4.11 inference(quant_inst,[status(thm)],[])).
% 5.22/4.11 tff(16577,plain,
% 5.22/4.11 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s194) | (~node26(s194))),
% 5.22/4.11 inference(modus_ponens,[status(thm)],[16576, 16575])).
% 5.22/4.11 tff(16578,plain,
% 5.22/4.11 (~node26(s194)),
% 5.22/4.11 inference(unit_resolution,[status(thm)],[16577, 16500, 16574])).
% 5.22/4.11 tff(16579,plain,
% 5.22/4.11 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s193, c_t2) | (~node26(s193)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s193, c_t2) | (~node26(s193)))),
% 5.22/4.11 inference(rewrite,[status(thm)],[])).
% 5.22/4.11 tff(16580,plain,
% 5.22/4.11 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s193, c_t2) | (~node26(s193)))),
% 5.22/4.11 inference(quant_inst,[status(thm)],[])).
% 5.22/4.11 tff(16581,plain,
% 5.22/4.11 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s193, c_t2) | (~node26(s193))),
% 5.22/4.11 inference(modus_ponens,[status(thm)],[16580, 16579])).
% 5.22/4.11 tff(16582,plain,
% 5.22/4.11 (~node26(s193)),
% 5.22/4.11 inference(unit_resolution,[status(thm)],[16581, 16520, 15636])).
% 5.22/4.11 tff(16583,plain,
% 5.22/4.11 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s192)) | (~m_main_v_state2(s192, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s192)) | (~m_main_v_state2(s192, c_c2)))),
% 5.22/4.11 inference(rewrite,[status(thm)],[])).
% 5.22/4.11 tff(16584,plain,
% 5.22/4.11 (((~m_main_v_state2(s192, c_c2)) | (~always25(s192))) <=> ((~always25(s192)) | (~m_main_v_state2(s192, c_c2)))),
% 5.22/4.11 inference(rewrite,[status(thm)],[])).
% 5.22/4.11 tff(16585,plain,
% 5.22/4.11 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s192, c_c2)) | (~always25(s192)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s192)) | (~m_main_v_state2(s192, c_c2))))),
% 5.22/4.11 inference(monotonicity,[status(thm)],[16584])).
% 5.22/4.11 tff(16586,plain,
% 5.22/4.11 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s192, c_c2)) | (~always25(s192)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s192)) | (~m_main_v_state2(s192, c_c2)))),
% 5.22/4.11 inference(transitivity,[status(thm)],[16585, 16583])).
% 5.22/4.11 tff(16587,plain,
% 5.22/4.11 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s192, c_c2)) | (~always25(s192)))),
% 5.22/4.11 inference(quant_inst,[status(thm)],[])).
% 5.22/4.11 tff(16588,plain,
% 5.22/4.11 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s192)) | (~m_main_v_state2(s192, c_c2))),
% 5.22/4.11 inference(modus_ponens,[status(thm)],[16587, 16586])).
% 5.22/4.11 tff(16589,plain,
% 5.22/4.11 (~always25(s192)),
% 5.22/4.11 inference(unit_resolution,[status(thm)],[16588, 16468, 15565])).
% 5.22/4.11 tff(16590,plain,
% 5.22/4.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s191, s192)) | (~always25(s191)) | always25(s192))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s191, s192)) | (~always25(s191)) | always25(s192))),
% 5.22/4.11 inference(rewrite,[status(thm)],[])).
% 5.22/4.11 tff(16591,plain,
% 5.22/4.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s191, s192)) | (~always25(s191)) | always25(s192))),
% 5.22/4.11 inference(quant_inst,[status(thm)],[])).
% 5.22/4.11 tff(16592,plain,
% 5.22/4.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s191, s192)) | (~always25(s191)) | always25(s192)),
% 5.22/4.11 inference(modus_ponens,[status(thm)],[16591, 16590])).
% 5.22/4.11 tff(16593,plain,
% 5.22/4.11 ((~always25(s191)) | always25(s192)),
% 5.22/4.11 inference(unit_resolution,[status(thm)],[16592, 16485, 15491])).
% 5.22/4.11 tff(16594,plain,
% 5.22/4.11 (~always25(s191)),
% 5.22/4.11 inference(unit_resolution,[status(thm)],[16593, 16589])).
% 5.22/4.11 tff(16595,plain,
% 5.22/4.11 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s191) | (~node26(s191)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s191) | (~node26(s191)))),
% 5.22/4.11 inference(rewrite,[status(thm)],[])).
% 5.22/4.11 tff(16596,plain,
% 5.22/4.11 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s191) | (~node26(s191)))),
% 5.22/4.11 inference(quant_inst,[status(thm)],[])).
% 5.22/4.11 tff(16597,plain,
% 5.22/4.11 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s191) | (~node26(s191))),
% 5.22/4.11 inference(modus_ponens,[status(thm)],[16596, 16595])).
% 5.22/4.11 tff(16598,plain,
% 5.22/4.11 (~node26(s191)),
% 5.22/4.11 inference(unit_resolution,[status(thm)],[16597, 16500, 16594])).
% 5.22/4.11 tff(16599,plain,
% 5.22/4.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s190, s191)) | (~always25(s190)) | always25(s191))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s190, s191)) | (~always25(s190)) | always25(s191))),
% 5.28/4.12 inference(rewrite,[status(thm)],[])).
% 5.28/4.12 tff(16600,plain,
% 5.28/4.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s190, s191)) | (~always25(s190)) | always25(s191))),
% 5.28/4.12 inference(quant_inst,[status(thm)],[])).
% 5.28/4.12 tff(16601,plain,
% 5.28/4.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s190, s191)) | (~always25(s190)) | always25(s191)),
% 5.28/4.12 inference(modus_ponens,[status(thm)],[16600, 16599])).
% 5.28/4.12 tff(16602,plain,
% 5.28/4.12 ((~always25(s190)) | always25(s191)),
% 5.28/4.12 inference(unit_resolution,[status(thm)],[16601, 16485, 15416])).
% 5.28/4.12 tff(16603,plain,
% 5.28/4.12 (~always25(s190)),
% 5.28/4.12 inference(unit_resolution,[status(thm)],[16602, 16594])).
% 5.28/4.12 tff(16604,plain,
% 5.28/4.12 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s190) | (~node26(s190)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s190) | (~node26(s190)))),
% 5.28/4.12 inference(rewrite,[status(thm)],[])).
% 5.28/4.12 tff(16605,plain,
% 5.28/4.12 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s190) | (~node26(s190)))),
% 5.28/4.12 inference(quant_inst,[status(thm)],[])).
% 5.28/4.12 tff(16606,plain,
% 5.28/4.12 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s190) | (~node26(s190))),
% 5.28/4.12 inference(modus_ponens,[status(thm)],[16605, 16604])).
% 5.28/4.12 tff(16607,plain,
% 5.28/4.12 (~node26(s190)),
% 5.28/4.12 inference(unit_resolution,[status(thm)],[16606, 16500, 16603])).
% 5.28/4.12 tff(16608,plain,
% 5.28/4.12 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s189, c_t2) | (~node26(s189)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s189, c_t2) | (~node26(s189)))),
% 5.28/4.12 inference(rewrite,[status(thm)],[])).
% 5.28/4.12 tff(16609,plain,
% 5.28/4.12 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s189, c_t2) | (~node26(s189)))),
% 5.28/4.12 inference(quant_inst,[status(thm)],[])).
% 5.28/4.12 tff(16610,plain,
% 5.28/4.12 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s189, c_t2) | (~node26(s189))),
% 5.28/4.12 inference(modus_ponens,[status(thm)],[16609, 16608])).
% 5.28/4.12 tff(16611,plain,
% 5.28/4.12 (~node26(s189)),
% 5.28/4.12 inference(unit_resolution,[status(thm)],[16610, 16520, 15341])).
% 5.28/4.12 tff(16612,plain,
% 5.28/4.12 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s188)) | (~m_main_v_state2(s188, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s188)) | (~m_main_v_state2(s188, c_c2)))),
% 5.28/4.12 inference(rewrite,[status(thm)],[])).
% 5.28/4.12 tff(16613,plain,
% 5.28/4.12 (((~m_main_v_state2(s188, c_c2)) | (~always25(s188))) <=> ((~always25(s188)) | (~m_main_v_state2(s188, c_c2)))),
% 5.28/4.12 inference(rewrite,[status(thm)],[])).
% 5.28/4.12 tff(16614,plain,
% 5.28/4.12 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s188, c_c2)) | (~always25(s188)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s188)) | (~m_main_v_state2(s188, c_c2))))),
% 5.28/4.12 inference(monotonicity,[status(thm)],[16613])).
% 5.28/4.12 tff(16615,plain,
% 5.28/4.12 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s188, c_c2)) | (~always25(s188)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s188)) | (~m_main_v_state2(s188, c_c2)))),
% 5.28/4.12 inference(transitivity,[status(thm)],[16614, 16612])).
% 5.28/4.12 tff(16616,plain,
% 5.28/4.12 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s188, c_c2)) | (~always25(s188)))),
% 5.28/4.12 inference(quant_inst,[status(thm)],[])).
% 5.28/4.12 tff(16617,plain,
% 5.28/4.12 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s188)) | (~m_main_v_state2(s188, c_c2))),
% 5.28/4.12 inference(modus_ponens,[status(thm)],[16616, 16615])).
% 5.28/4.12 tff(16618,plain,
% 5.28/4.12 (~always25(s188)),
% 5.28/4.12 inference(unit_resolution,[status(thm)],[16617, 16468, 15205])).
% 5.28/4.12 tff(16619,plain,
% 5.28/4.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s187, s188)) | (~always25(s187)) | always25(s188))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s187, s188)) | (~always25(s187)) | always25(s188))),
% 5.28/4.12 inference(rewrite,[status(thm)],[])).
% 5.28/4.12 tff(16620,plain,
% 5.28/4.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s187, s188)) | (~always25(s187)) | always25(s188))),
% 5.28/4.12 inference(quant_inst,[status(thm)],[])).
% 5.28/4.12 tff(16621,plain,
% 5.28/4.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s187, s188)) | (~always25(s187)) | always25(s188)),
% 5.28/4.12 inference(modus_ponens,[status(thm)],[16620, 16619])).
% 5.28/4.12 tff(16622,plain,
% 5.28/4.12 ((~always25(s187)) | always25(s188)),
% 5.28/4.12 inference(unit_resolution,[status(thm)],[16621, 16485, 15196])).
% 5.28/4.12 tff(16623,plain,
% 5.28/4.12 (~always25(s187)),
% 5.28/4.12 inference(unit_resolution,[status(thm)],[16622, 16618])).
% 5.28/4.12 tff(16624,plain,
% 5.28/4.12 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s187) | (~node26(s187)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s187) | (~node26(s187)))),
% 5.28/4.12 inference(rewrite,[status(thm)],[])).
% 5.28/4.12 tff(16625,plain,
% 5.28/4.12 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s187) | (~node26(s187)))),
% 5.28/4.12 inference(quant_inst,[status(thm)],[])).
% 5.28/4.12 tff(16626,plain,
% 5.28/4.12 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s187) | (~node26(s187))),
% 5.28/4.12 inference(modus_ponens,[status(thm)],[16625, 16624])).
% 5.28/4.12 tff(16627,plain,
% 5.28/4.12 (~node26(s187)),
% 5.28/4.12 inference(unit_resolution,[status(thm)],[16626, 16500, 16623])).
% 5.28/4.12 tff(16628,plain,
% 5.28/4.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s186, s187)) | (~always25(s186)) | always25(s187))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s186, s187)) | (~always25(s186)) | always25(s187))),
% 5.28/4.12 inference(rewrite,[status(thm)],[])).
% 5.28/4.12 tff(16629,plain,
% 5.28/4.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s186, s187)) | (~always25(s186)) | always25(s187))),
% 5.28/4.12 inference(quant_inst,[status(thm)],[])).
% 5.28/4.12 tff(16630,plain,
% 5.28/4.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s186, s187)) | (~always25(s186)) | always25(s187)),
% 5.28/4.12 inference(modus_ponens,[status(thm)],[16629, 16628])).
% 5.28/4.12 tff(16631,plain,
% 5.28/4.12 ((~always25(s186)) | always25(s187)),
% 5.28/4.12 inference(unit_resolution,[status(thm)],[16630, 16485, 15118])).
% 5.28/4.12 tff(16632,plain,
% 5.28/4.12 (~always25(s186)),
% 5.28/4.12 inference(unit_resolution,[status(thm)],[16631, 16623])).
% 5.28/4.12 tff(16633,plain,
% 5.28/4.12 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s186) | (~node26(s186)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s186) | (~node26(s186)))),
% 5.28/4.12 inference(rewrite,[status(thm)],[])).
% 5.28/4.12 tff(16634,plain,
% 5.28/4.12 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s186) | (~node26(s186)))),
% 5.28/4.12 inference(quant_inst,[status(thm)],[])).
% 5.28/4.12 tff(16635,plain,
% 5.28/4.12 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s186) | (~node26(s186))),
% 5.28/4.12 inference(modus_ponens,[status(thm)],[16634, 16633])).
% 5.28/4.12 tff(16636,plain,
% 5.28/4.12 (~node26(s186)),
% 5.28/4.12 inference(unit_resolution,[status(thm)],[16635, 16500, 16632])).
% 5.28/4.12 tff(16637,plain,
% 5.28/4.12 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s185, c_t2) | (~node26(s185)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s185, c_t2) | (~node26(s185)))),
% 5.28/4.12 inference(rewrite,[status(thm)],[])).
% 5.28/4.12 tff(16638,plain,
% 5.28/4.12 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s185, c_t2) | (~node26(s185)))),
% 5.28/4.12 inference(quant_inst,[status(thm)],[])).
% 5.28/4.12 tff(16639,plain,
% 5.28/4.12 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s185, c_t2) | (~node26(s185))),
% 5.28/4.12 inference(modus_ponens,[status(thm)],[16638, 16637])).
% 5.28/4.12 tff(16640,plain,
% 5.28/4.12 (~node26(s185)),
% 5.28/4.12 inference(unit_resolution,[status(thm)],[16639, 16520, 15008])).
% 5.28/4.12 tff(16641,plain,
% 5.28/4.12 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s184)) | (~m_main_v_state2(s184, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s184)) | (~m_main_v_state2(s184, c_c2)))),
% 5.28/4.12 inference(rewrite,[status(thm)],[])).
% 5.28/4.12 tff(16642,plain,
% 5.28/4.12 (((~m_main_v_state2(s184, c_c2)) | (~always25(s184))) <=> ((~always25(s184)) | (~m_main_v_state2(s184, c_c2)))),
% 5.28/4.12 inference(rewrite,[status(thm)],[])).
% 5.28/4.12 tff(16643,plain,
% 5.28/4.12 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s184, c_c2)) | (~always25(s184)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s184)) | (~m_main_v_state2(s184, c_c2))))),
% 5.28/4.12 inference(monotonicity,[status(thm)],[16642])).
% 5.28/4.12 tff(16644,plain,
% 5.28/4.12 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s184, c_c2)) | (~always25(s184)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s184)) | (~m_main_v_state2(s184, c_c2)))),
% 5.28/4.12 inference(transitivity,[status(thm)],[16643, 16641])).
% 5.28/4.12 tff(16645,plain,
% 5.28/4.12 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s184, c_c2)) | (~always25(s184)))),
% 5.28/4.12 inference(quant_inst,[status(thm)],[])).
% 5.28/4.12 tff(16646,plain,
% 5.28/4.12 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s184)) | (~m_main_v_state2(s184, c_c2))),
% 5.28/4.12 inference(modus_ponens,[status(thm)],[16645, 16644])).
% 5.28/4.12 tff(16647,plain,
% 5.28/4.12 (~always25(s184)),
% 5.28/4.12 inference(unit_resolution,[status(thm)],[16646, 16468, 14937])).
% 5.28/4.12 tff(16648,plain,
% 5.28/4.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s183, s184)) | (~always25(s183)) | always25(s184))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s183, s184)) | (~always25(s183)) | always25(s184))),
% 5.28/4.12 inference(rewrite,[status(thm)],[])).
% 5.28/4.12 tff(16649,plain,
% 5.28/4.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s183, s184)) | (~always25(s183)) | always25(s184))),
% 5.28/4.12 inference(quant_inst,[status(thm)],[])).
% 5.28/4.12 tff(16650,plain,
% 5.28/4.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s183, s184)) | (~always25(s183)) | always25(s184)),
% 5.28/4.12 inference(modus_ponens,[status(thm)],[16649, 16648])).
% 5.28/4.12 tff(16651,plain,
% 5.28/4.12 ((~always25(s183)) | always25(s184)),
% 5.28/4.12 inference(unit_resolution,[status(thm)],[16650, 16485, 14863])).
% 5.28/4.12 tff(16652,plain,
% 5.28/4.12 (~always25(s183)),
% 5.28/4.12 inference(unit_resolution,[status(thm)],[16651, 16647])).
% 5.28/4.12 tff(16653,plain,
% 5.28/4.12 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s183) | (~node26(s183)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s183) | (~node26(s183)))),
% 5.28/4.12 inference(rewrite,[status(thm)],[])).
% 5.28/4.12 tff(16654,plain,
% 5.28/4.12 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s183) | (~node26(s183)))),
% 5.28/4.12 inference(quant_inst,[status(thm)],[])).
% 5.28/4.12 tff(16655,plain,
% 5.28/4.12 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s183) | (~node26(s183))),
% 5.28/4.12 inference(modus_ponens,[status(thm)],[16654, 16653])).
% 5.28/4.12 tff(16656,plain,
% 5.28/4.12 (~node26(s183)),
% 5.28/4.12 inference(unit_resolution,[status(thm)],[16655, 16500, 16652])).
% 5.28/4.12 tff(16657,plain,
% 5.28/4.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s182, s183)) | (~always25(s182)) | always25(s183))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s182, s183)) | (~always25(s182)) | always25(s183))),
% 5.28/4.12 inference(rewrite,[status(thm)],[])).
% 5.28/4.12 tff(16658,plain,
% 5.28/4.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s182, s183)) | (~always25(s182)) | always25(s183))),
% 5.28/4.12 inference(quant_inst,[status(thm)],[])).
% 5.28/4.12 tff(16659,plain,
% 5.28/4.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s182, s183)) | (~always25(s182)) | always25(s183)),
% 5.28/4.12 inference(modus_ponens,[status(thm)],[16658, 16657])).
% 5.28/4.12 tff(16660,plain,
% 5.28/4.12 ((~always25(s182)) | always25(s183)),
% 5.28/4.12 inference(unit_resolution,[status(thm)],[16659, 16485, 14788])).
% 5.28/4.12 tff(16661,plain,
% 5.28/4.12 (~always25(s182)),
% 5.28/4.12 inference(unit_resolution,[status(thm)],[16660, 16652])).
% 5.28/4.12 tff(16662,plain,
% 5.28/4.12 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s182) | (~node26(s182)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s182) | (~node26(s182)))),
% 5.28/4.12 inference(rewrite,[status(thm)],[])).
% 5.28/4.12 tff(16663,plain,
% 5.28/4.12 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s182) | (~node26(s182)))),
% 5.28/4.12 inference(quant_inst,[status(thm)],[])).
% 5.28/4.12 tff(16664,plain,
% 5.28/4.12 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s182) | (~node26(s182))),
% 5.28/4.12 inference(modus_ponens,[status(thm)],[16663, 16662])).
% 5.28/4.12 tff(16665,plain,
% 5.28/4.12 (~node26(s182)),
% 5.28/4.12 inference(unit_resolution,[status(thm)],[16664, 16500, 16661])).
% 5.28/4.12 tff(16666,plain,
% 5.28/4.12 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s181, c_t2) | (~node26(s181)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s181, c_t2) | (~node26(s181)))),
% 5.28/4.12 inference(rewrite,[status(thm)],[])).
% 5.28/4.12 tff(16667,plain,
% 5.28/4.12 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s181, c_t2) | (~node26(s181)))),
% 5.28/4.12 inference(quant_inst,[status(thm)],[])).
% 5.28/4.12 tff(16668,plain,
% 5.28/4.12 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s181, c_t2) | (~node26(s181))),
% 5.28/4.12 inference(modus_ponens,[status(thm)],[16667, 16666])).
% 5.28/4.12 tff(16669,plain,
% 5.28/4.12 (~node26(s181)),
% 5.28/4.12 inference(unit_resolution,[status(thm)],[16668, 16520, 14713])).
% 5.28/4.12 tff(16670,plain,
% 5.28/4.12 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s180)) | (~m_main_v_state2(s180, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s180)) | (~m_main_v_state2(s180, c_c2)))),
% 5.28/4.12 inference(rewrite,[status(thm)],[])).
% 5.28/4.12 tff(16671,plain,
% 5.28/4.12 (((~m_main_v_state2(s180, c_c2)) | (~always25(s180))) <=> ((~always25(s180)) | (~m_main_v_state2(s180, c_c2)))),
% 5.28/4.12 inference(rewrite,[status(thm)],[])).
% 5.28/4.12 tff(16672,plain,
% 5.28/4.12 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s180, c_c2)) | (~always25(s180)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s180)) | (~m_main_v_state2(s180, c_c2))))),
% 5.28/4.12 inference(monotonicity,[status(thm)],[16671])).
% 5.28/4.12 tff(16673,plain,
% 5.28/4.12 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s180, c_c2)) | (~always25(s180)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s180)) | (~m_main_v_state2(s180, c_c2)))),
% 5.28/4.12 inference(transitivity,[status(thm)],[16672, 16670])).
% 5.28/4.12 tff(16674,plain,
% 5.28/4.12 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s180, c_c2)) | (~always25(s180)))),
% 5.28/4.12 inference(quant_inst,[status(thm)],[])).
% 5.28/4.12 tff(16675,plain,
% 5.28/4.12 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s180)) | (~m_main_v_state2(s180, c_c2))),
% 5.28/4.12 inference(modus_ponens,[status(thm)],[16674, 16673])).
% 5.28/4.12 tff(16676,plain,
% 5.28/4.12 (~always25(s180)),
% 5.28/4.12 inference(unit_resolution,[status(thm)],[16675, 16468, 14577])).
% 5.28/4.12 tff(16677,plain,
% 5.28/4.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s179, s180)) | (~always25(s179)) | always25(s180))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s179, s180)) | (~always25(s179)) | always25(s180))),
% 5.28/4.12 inference(rewrite,[status(thm)],[])).
% 5.28/4.12 tff(16678,plain,
% 5.28/4.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s179, s180)) | (~always25(s179)) | always25(s180))),
% 5.28/4.12 inference(quant_inst,[status(thm)],[])).
% 5.28/4.12 tff(16679,plain,
% 5.28/4.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s179, s180)) | (~always25(s179)) | always25(s180)),
% 5.28/4.12 inference(modus_ponens,[status(thm)],[16678, 16677])).
% 5.28/4.12 tff(16680,plain,
% 5.28/4.12 ((~always25(s179)) | always25(s180)),
% 5.28/4.12 inference(unit_resolution,[status(thm)],[16679, 16485, 14568])).
% 5.28/4.12 tff(16681,plain,
% 5.28/4.12 (~always25(s179)),
% 5.28/4.12 inference(unit_resolution,[status(thm)],[16680, 16676])).
% 5.28/4.12 tff(16682,plain,
% 5.28/4.12 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s179) | (~node26(s179)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s179) | (~node26(s179)))),
% 5.28/4.12 inference(rewrite,[status(thm)],[])).
% 5.28/4.12 tff(16683,plain,
% 5.28/4.12 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s179) | (~node26(s179)))),
% 5.28/4.12 inference(quant_inst,[status(thm)],[])).
% 5.28/4.12 tff(16684,plain,
% 5.28/4.12 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s179) | (~node26(s179))),
% 5.28/4.12 inference(modus_ponens,[status(thm)],[16683, 16682])).
% 5.28/4.12 tff(16685,plain,
% 5.28/4.12 (~node26(s179)),
% 5.28/4.12 inference(unit_resolution,[status(thm)],[16684, 16500, 16681])).
% 5.28/4.12 tff(16686,plain,
% 5.28/4.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s178, s179)) | (~always25(s178)) | always25(s179))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s178, s179)) | (~always25(s178)) | always25(s179))),
% 5.28/4.12 inference(rewrite,[status(thm)],[])).
% 5.28/4.12 tff(16687,plain,
% 5.28/4.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s178, s179)) | (~always25(s178)) | always25(s179))),
% 5.28/4.12 inference(quant_inst,[status(thm)],[])).
% 5.28/4.12 tff(16688,plain,
% 5.28/4.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s178, s179)) | (~always25(s178)) | always25(s179)),
% 5.28/4.12 inference(modus_ponens,[status(thm)],[16687, 16686])).
% 5.28/4.12 tff(16689,plain,
% 5.28/4.12 ((~always25(s178)) | always25(s179)),
% 5.28/4.12 inference(unit_resolution,[status(thm)],[16688, 16485, 14490])).
% 5.28/4.12 tff(16690,plain,
% 5.28/4.12 (~always25(s178)),
% 5.28/4.12 inference(unit_resolution,[status(thm)],[16689, 16681])).
% 5.28/4.12 tff(16691,plain,
% 5.28/4.12 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s178) | (~node26(s178)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s178) | (~node26(s178)))),
% 5.28/4.12 inference(rewrite,[status(thm)],[])).
% 5.28/4.12 tff(16692,plain,
% 5.28/4.12 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s178) | (~node26(s178)))),
% 5.28/4.12 inference(quant_inst,[status(thm)],[])).
% 5.28/4.12 tff(16693,plain,
% 5.28/4.12 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s178) | (~node26(s178))),
% 5.28/4.12 inference(modus_ponens,[status(thm)],[16692, 16691])).
% 5.28/4.12 tff(16694,plain,
% 5.28/4.12 (~node26(s178)),
% 5.28/4.12 inference(unit_resolution,[status(thm)],[16693, 16500, 16690])).
% 5.28/4.12 tff(16695,plain,
% 5.28/4.12 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s177, c_t2) | (~node26(s177)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s177, c_t2) | (~node26(s177)))),
% 5.28/4.12 inference(rewrite,[status(thm)],[])).
% 5.28/4.12 tff(16696,plain,
% 5.28/4.12 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s177, c_t2) | (~node26(s177)))),
% 5.28/4.12 inference(quant_inst,[status(thm)],[])).
% 5.28/4.12 tff(16697,plain,
% 5.28/4.12 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s177, c_t2) | (~node26(s177))),
% 5.28/4.12 inference(modus_ponens,[status(thm)],[16696, 16695])).
% 5.28/4.12 tff(16698,plain,
% 5.28/4.12 (~node26(s177)),
% 5.28/4.12 inference(unit_resolution,[status(thm)],[16697, 16520, 14380])).
% 5.28/4.12 tff(16699,plain,
% 5.28/4.12 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s176)) | (~m_main_v_state2(s176, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s176)) | (~m_main_v_state2(s176, c_c2)))),
% 5.28/4.12 inference(rewrite,[status(thm)],[])).
% 5.28/4.12 tff(16700,plain,
% 5.28/4.12 (((~m_main_v_state2(s176, c_c2)) | (~always25(s176))) <=> ((~always25(s176)) | (~m_main_v_state2(s176, c_c2)))),
% 5.28/4.12 inference(rewrite,[status(thm)],[])).
% 5.28/4.12 tff(16701,plain,
% 5.28/4.12 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s176, c_c2)) | (~always25(s176)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s176)) | (~m_main_v_state2(s176, c_c2))))),
% 5.28/4.12 inference(monotonicity,[status(thm)],[16700])).
% 5.28/4.12 tff(16702,plain,
% 5.28/4.12 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s176, c_c2)) | (~always25(s176)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s176)) | (~m_main_v_state2(s176, c_c2)))),
% 5.28/4.12 inference(transitivity,[status(thm)],[16701, 16699])).
% 5.28/4.12 tff(16703,plain,
% 5.28/4.12 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s176, c_c2)) | (~always25(s176)))),
% 5.28/4.12 inference(quant_inst,[status(thm)],[])).
% 5.28/4.12 tff(16704,plain,
% 5.28/4.12 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s176)) | (~m_main_v_state2(s176, c_c2))),
% 5.28/4.12 inference(modus_ponens,[status(thm)],[16703, 16702])).
% 5.28/4.12 tff(16705,plain,
% 5.28/4.12 (~always25(s176)),
% 5.28/4.12 inference(unit_resolution,[status(thm)],[16704, 16468, 14309])).
% 5.28/4.12 tff(16706,plain,
% 5.28/4.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s175, s176)) | (~always25(s175)) | always25(s176))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s175, s176)) | (~always25(s175)) | always25(s176))),
% 5.28/4.12 inference(rewrite,[status(thm)],[])).
% 5.28/4.12 tff(16707,plain,
% 5.28/4.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s175, s176)) | (~always25(s175)) | always25(s176))),
% 5.28/4.12 inference(quant_inst,[status(thm)],[])).
% 5.28/4.12 tff(16708,plain,
% 5.28/4.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s175, s176)) | (~always25(s175)) | always25(s176)),
% 5.28/4.12 inference(modus_ponens,[status(thm)],[16707, 16706])).
% 5.28/4.12 tff(16709,plain,
% 5.28/4.12 ((~always25(s175)) | always25(s176)),
% 5.28/4.12 inference(unit_resolution,[status(thm)],[16708, 16485, 14235])).
% 5.28/4.12 tff(16710,plain,
% 5.28/4.12 (~always25(s175)),
% 5.28/4.12 inference(unit_resolution,[status(thm)],[16709, 16705])).
% 5.28/4.12 tff(16711,plain,
% 5.28/4.12 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s175) | (~node26(s175)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s175) | (~node26(s175)))),
% 5.28/4.12 inference(rewrite,[status(thm)],[])).
% 5.28/4.12 tff(16712,plain,
% 5.28/4.12 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s175) | (~node26(s175)))),
% 5.28/4.12 inference(quant_inst,[status(thm)],[])).
% 5.28/4.12 tff(16713,plain,
% 5.28/4.12 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s175) | (~node26(s175))),
% 5.28/4.12 inference(modus_ponens,[status(thm)],[16712, 16711])).
% 5.28/4.12 tff(16714,plain,
% 5.28/4.12 (~node26(s175)),
% 5.28/4.12 inference(unit_resolution,[status(thm)],[16713, 16500, 16710])).
% 5.28/4.12 tff(16715,plain,
% 5.28/4.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s174, s175)) | (~always25(s174)) | always25(s175))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s174, s175)) | (~always25(s174)) | always25(s175))),
% 5.28/4.12 inference(rewrite,[status(thm)],[])).
% 5.28/4.12 tff(16716,plain,
% 5.28/4.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s174, s175)) | (~always25(s174)) | always25(s175))),
% 5.28/4.12 inference(quant_inst,[status(thm)],[])).
% 5.28/4.12 tff(16717,plain,
% 5.28/4.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s174, s175)) | (~always25(s174)) | always25(s175)),
% 5.28/4.12 inference(modus_ponens,[status(thm)],[16716, 16715])).
% 5.28/4.12 tff(16718,plain,
% 5.28/4.12 ((~always25(s174)) | always25(s175)),
% 5.28/4.12 inference(unit_resolution,[status(thm)],[16717, 16485, 14160])).
% 5.28/4.12 tff(16719,plain,
% 5.28/4.12 (~always25(s174)),
% 5.28/4.12 inference(unit_resolution,[status(thm)],[16718, 16710])).
% 5.28/4.12 tff(16720,plain,
% 5.28/4.12 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s174) | (~node26(s174)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s174) | (~node26(s174)))),
% 5.28/4.12 inference(rewrite,[status(thm)],[])).
% 5.28/4.12 tff(16721,plain,
% 5.28/4.12 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s174) | (~node26(s174)))),
% 5.28/4.12 inference(quant_inst,[status(thm)],[])).
% 5.28/4.12 tff(16722,plain,
% 5.28/4.12 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s174) | (~node26(s174))),
% 5.28/4.12 inference(modus_ponens,[status(thm)],[16721, 16720])).
% 5.28/4.12 tff(16723,plain,
% 5.28/4.12 (~node26(s174)),
% 5.28/4.12 inference(unit_resolution,[status(thm)],[16722, 16500, 16719])).
% 5.28/4.12 tff(16724,plain,
% 5.28/4.12 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s173, c_t2) | (~node26(s173)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s173, c_t2) | (~node26(s173)))),
% 5.28/4.12 inference(rewrite,[status(thm)],[])).
% 5.28/4.12 tff(16725,plain,
% 5.28/4.12 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s173, c_t2) | (~node26(s173)))),
% 5.28/4.12 inference(quant_inst,[status(thm)],[])).
% 5.28/4.12 tff(16726,plain,
% 5.28/4.12 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s173, c_t2) | (~node26(s173))),
% 5.28/4.12 inference(modus_ponens,[status(thm)],[16725, 16724])).
% 5.28/4.12 tff(16727,plain,
% 5.28/4.12 (~node26(s173)),
% 5.28/4.12 inference(unit_resolution,[status(thm)],[16726, 16520, 14085])).
% 5.28/4.12 tff(16728,plain,
% 5.28/4.12 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s172)) | (~m_main_v_state2(s172, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s172)) | (~m_main_v_state2(s172, c_c2)))),
% 5.28/4.12 inference(rewrite,[status(thm)],[])).
% 5.28/4.12 tff(16729,plain,
% 5.28/4.12 (((~m_main_v_state2(s172, c_c2)) | (~always25(s172))) <=> ((~always25(s172)) | (~m_main_v_state2(s172, c_c2)))),
% 5.28/4.12 inference(rewrite,[status(thm)],[])).
% 5.28/4.12 tff(16730,plain,
% 5.28/4.12 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s172, c_c2)) | (~always25(s172)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s172)) | (~m_main_v_state2(s172, c_c2))))),
% 5.28/4.12 inference(monotonicity,[status(thm)],[16729])).
% 5.28/4.12 tff(16731,plain,
% 5.28/4.12 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s172, c_c2)) | (~always25(s172)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s172)) | (~m_main_v_state2(s172, c_c2)))),
% 5.28/4.12 inference(transitivity,[status(thm)],[16730, 16728])).
% 5.28/4.12 tff(16732,plain,
% 5.28/4.12 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s172, c_c2)) | (~always25(s172)))),
% 5.28/4.12 inference(quant_inst,[status(thm)],[])).
% 5.28/4.12 tff(16733,plain,
% 5.28/4.12 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s172)) | (~m_main_v_state2(s172, c_c2))),
% 5.28/4.12 inference(modus_ponens,[status(thm)],[16732, 16731])).
% 5.28/4.12 tff(16734,plain,
% 5.28/4.12 (~always25(s172)),
% 5.28/4.12 inference(unit_resolution,[status(thm)],[16733, 16468, 13949])).
% 5.28/4.12 tff(16735,plain,
% 5.28/4.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s171, s172)) | (~always25(s171)) | always25(s172))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s171, s172)) | (~always25(s171)) | always25(s172))),
% 5.28/4.12 inference(rewrite,[status(thm)],[])).
% 5.28/4.12 tff(16736,plain,
% 5.28/4.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s171, s172)) | (~always25(s171)) | always25(s172))),
% 5.28/4.12 inference(quant_inst,[status(thm)],[])).
% 5.28/4.12 tff(16737,plain,
% 5.28/4.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s171, s172)) | (~always25(s171)) | always25(s172)),
% 5.28/4.12 inference(modus_ponens,[status(thm)],[16736, 16735])).
% 5.28/4.12 tff(16738,plain,
% 5.28/4.12 ((~always25(s171)) | always25(s172)),
% 5.28/4.12 inference(unit_resolution,[status(thm)],[16737, 16485, 13940])).
% 5.28/4.12 tff(16739,plain,
% 5.28/4.12 (~always25(s171)),
% 5.28/4.12 inference(unit_resolution,[status(thm)],[16738, 16734])).
% 5.28/4.12 tff(16740,plain,
% 5.28/4.12 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s171) | (~node26(s171)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s171) | (~node26(s171)))),
% 5.28/4.12 inference(rewrite,[status(thm)],[])).
% 5.28/4.12 tff(16741,plain,
% 5.28/4.12 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s171) | (~node26(s171)))),
% 5.28/4.12 inference(quant_inst,[status(thm)],[])).
% 5.28/4.12 tff(16742,plain,
% 5.28/4.12 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s171) | (~node26(s171))),
% 5.28/4.12 inference(modus_ponens,[status(thm)],[16741, 16740])).
% 5.28/4.12 tff(16743,plain,
% 5.28/4.12 (~node26(s171)),
% 5.28/4.12 inference(unit_resolution,[status(thm)],[16742, 16500, 16739])).
% 5.28/4.12 tff(16744,plain,
% 5.28/4.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s170, s171)) | (~always25(s170)) | always25(s171))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s170, s171)) | (~always25(s170)) | always25(s171))),
% 5.28/4.12 inference(rewrite,[status(thm)],[])).
% 5.28/4.12 tff(16745,plain,
% 5.28/4.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s170, s171)) | (~always25(s170)) | always25(s171))),
% 5.28/4.12 inference(quant_inst,[status(thm)],[])).
% 5.28/4.12 tff(16746,plain,
% 5.28/4.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s170, s171)) | (~always25(s170)) | always25(s171)),
% 5.28/4.12 inference(modus_ponens,[status(thm)],[16745, 16744])).
% 5.28/4.12 tff(16747,plain,
% 5.28/4.12 ((~always25(s170)) | always25(s171)),
% 5.28/4.12 inference(unit_resolution,[status(thm)],[16746, 16485, 13862])).
% 5.28/4.12 tff(16748,plain,
% 5.28/4.12 (~always25(s170)),
% 5.28/4.12 inference(unit_resolution,[status(thm)],[16747, 16739])).
% 5.28/4.12 tff(16749,plain,
% 5.28/4.12 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s170) | (~node26(s170)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s170) | (~node26(s170)))),
% 5.28/4.12 inference(rewrite,[status(thm)],[])).
% 5.28/4.12 tff(16750,plain,
% 5.28/4.12 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s170) | (~node26(s170)))),
% 5.28/4.12 inference(quant_inst,[status(thm)],[])).
% 5.28/4.12 tff(16751,plain,
% 5.28/4.12 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s170) | (~node26(s170))),
% 5.28/4.12 inference(modus_ponens,[status(thm)],[16750, 16749])).
% 5.28/4.12 tff(16752,plain,
% 5.28/4.12 (~node26(s170)),
% 5.28/4.12 inference(unit_resolution,[status(thm)],[16751, 16500, 16748])).
% 5.28/4.12 tff(16753,plain,
% 5.28/4.12 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s169, c_t2) | (~node26(s169)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s169, c_t2) | (~node26(s169)))),
% 5.28/4.12 inference(rewrite,[status(thm)],[])).
% 5.28/4.12 tff(16754,plain,
% 5.28/4.12 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s169, c_t2) | (~node26(s169)))),
% 5.28/4.12 inference(quant_inst,[status(thm)],[])).
% 5.28/4.12 tff(16755,plain,
% 5.28/4.12 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s169, c_t2) | (~node26(s169))),
% 5.28/4.12 inference(modus_ponens,[status(thm)],[16754, 16753])).
% 5.28/4.12 tff(16756,plain,
% 5.28/4.12 (~node26(s169)),
% 5.28/4.12 inference(unit_resolution,[status(thm)],[16755, 16520, 13752])).
% 5.28/4.12 tff(16757,plain,
% 5.28/4.12 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s168)) | (~m_main_v_state2(s168, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s168)) | (~m_main_v_state2(s168, c_c2)))),
% 5.28/4.12 inference(rewrite,[status(thm)],[])).
% 5.28/4.12 tff(16758,plain,
% 5.28/4.12 (((~m_main_v_state2(s168, c_c2)) | (~always25(s168))) <=> ((~always25(s168)) | (~m_main_v_state2(s168, c_c2)))),
% 5.28/4.12 inference(rewrite,[status(thm)],[])).
% 5.28/4.12 tff(16759,plain,
% 5.28/4.12 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s168, c_c2)) | (~always25(s168)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s168)) | (~m_main_v_state2(s168, c_c2))))),
% 5.28/4.12 inference(monotonicity,[status(thm)],[16758])).
% 5.28/4.12 tff(16760,plain,
% 5.28/4.12 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s168, c_c2)) | (~always25(s168)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s168)) | (~m_main_v_state2(s168, c_c2)))),
% 5.28/4.12 inference(transitivity,[status(thm)],[16759, 16757])).
% 5.28/4.12 tff(16761,plain,
% 5.28/4.12 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s168, c_c2)) | (~always25(s168)))),
% 5.28/4.12 inference(quant_inst,[status(thm)],[])).
% 5.28/4.12 tff(16762,plain,
% 5.28/4.12 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s168)) | (~m_main_v_state2(s168, c_c2))),
% 5.28/4.12 inference(modus_ponens,[status(thm)],[16761, 16760])).
% 5.28/4.12 tff(16763,plain,
% 5.28/4.12 (~always25(s168)),
% 5.28/4.12 inference(unit_resolution,[status(thm)],[16762, 16468, 13681])).
% 5.28/4.12 tff(16764,plain,
% 5.28/4.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s167, s168)) | (~always25(s167)) | always25(s168))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s167, s168)) | (~always25(s167)) | always25(s168))),
% 5.28/4.12 inference(rewrite,[status(thm)],[])).
% 5.28/4.12 tff(16765,plain,
% 5.28/4.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s167, s168)) | (~always25(s167)) | always25(s168))),
% 5.28/4.12 inference(quant_inst,[status(thm)],[])).
% 5.28/4.12 tff(16766,plain,
% 5.28/4.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s167, s168)) | (~always25(s167)) | always25(s168)),
% 5.28/4.12 inference(modus_ponens,[status(thm)],[16765, 16764])).
% 5.28/4.12 tff(16767,plain,
% 5.28/4.12 ((~always25(s167)) | always25(s168)),
% 5.28/4.12 inference(unit_resolution,[status(thm)],[16766, 16485, 13607])).
% 5.28/4.12 tff(16768,plain,
% 5.28/4.12 (~always25(s167)),
% 5.28/4.12 inference(unit_resolution,[status(thm)],[16767, 16763])).
% 5.28/4.13 tff(16769,plain,
% 5.28/4.13 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s167) | (~node26(s167)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s167) | (~node26(s167)))),
% 5.28/4.13 inference(rewrite,[status(thm)],[])).
% 5.28/4.13 tff(16770,plain,
% 5.28/4.13 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s167) | (~node26(s167)))),
% 5.28/4.13 inference(quant_inst,[status(thm)],[])).
% 5.28/4.13 tff(16771,plain,
% 5.28/4.13 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s167) | (~node26(s167))),
% 5.28/4.13 inference(modus_ponens,[status(thm)],[16770, 16769])).
% 5.28/4.13 tff(16772,plain,
% 5.28/4.13 (~node26(s167)),
% 5.28/4.13 inference(unit_resolution,[status(thm)],[16771, 16500, 16768])).
% 5.28/4.13 tff(16773,plain,
% 5.28/4.13 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s166, s167)) | (~always25(s166)) | always25(s167))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s166, s167)) | (~always25(s166)) | always25(s167))),
% 5.28/4.13 inference(rewrite,[status(thm)],[])).
% 5.28/4.13 tff(16774,plain,
% 5.28/4.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s166, s167)) | (~always25(s166)) | always25(s167))),
% 5.28/4.13 inference(quant_inst,[status(thm)],[])).
% 5.28/4.13 tff(16775,plain,
% 5.28/4.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s166, s167)) | (~always25(s166)) | always25(s167)),
% 5.28/4.13 inference(modus_ponens,[status(thm)],[16774, 16773])).
% 5.28/4.13 tff(16776,plain,
% 5.28/4.13 ((~always25(s166)) | always25(s167)),
% 5.28/4.13 inference(unit_resolution,[status(thm)],[16775, 16485, 13532])).
% 5.28/4.13 tff(16777,plain,
% 5.28/4.13 (~always25(s166)),
% 5.28/4.13 inference(unit_resolution,[status(thm)],[16776, 16768])).
% 5.28/4.13 tff(16778,plain,
% 5.28/4.13 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s166) | (~node26(s166)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s166) | (~node26(s166)))),
% 5.28/4.13 inference(rewrite,[status(thm)],[])).
% 5.28/4.13 tff(16779,plain,
% 5.28/4.13 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s166) | (~node26(s166)))),
% 5.28/4.13 inference(quant_inst,[status(thm)],[])).
% 5.28/4.13 tff(16780,plain,
% 5.28/4.13 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s166) | (~node26(s166))),
% 5.28/4.13 inference(modus_ponens,[status(thm)],[16779, 16778])).
% 5.28/4.13 tff(16781,plain,
% 5.28/4.13 (~node26(s166)),
% 5.28/4.13 inference(unit_resolution,[status(thm)],[16780, 16500, 16777])).
% 5.28/4.13 tff(16782,plain,
% 5.28/4.13 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s165, c_t2) | (~node26(s165)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s165, c_t2) | (~node26(s165)))),
% 5.28/4.13 inference(rewrite,[status(thm)],[])).
% 5.28/4.13 tff(16783,plain,
% 5.28/4.13 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s165, c_t2) | (~node26(s165)))),
% 5.28/4.13 inference(quant_inst,[status(thm)],[])).
% 5.28/4.13 tff(16784,plain,
% 5.28/4.13 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s165, c_t2) | (~node26(s165))),
% 5.28/4.13 inference(modus_ponens,[status(thm)],[16783, 16782])).
% 5.28/4.13 tff(16785,plain,
% 5.28/4.13 (~node26(s165)),
% 5.28/4.13 inference(unit_resolution,[status(thm)],[16784, 16520, 13457])).
% 5.28/4.13 tff(16786,plain,
% 5.28/4.13 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s164)) | (~m_main_v_state2(s164, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s164)) | (~m_main_v_state2(s164, c_c2)))),
% 5.28/4.13 inference(rewrite,[status(thm)],[])).
% 5.28/4.13 tff(16787,plain,
% 5.28/4.13 (((~m_main_v_state2(s164, c_c2)) | (~always25(s164))) <=> ((~always25(s164)) | (~m_main_v_state2(s164, c_c2)))),
% 5.28/4.13 inference(rewrite,[status(thm)],[])).
% 5.28/4.13 tff(16788,plain,
% 5.28/4.13 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s164, c_c2)) | (~always25(s164)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s164)) | (~m_main_v_state2(s164, c_c2))))),
% 5.28/4.13 inference(monotonicity,[status(thm)],[16787])).
% 5.28/4.13 tff(16789,plain,
% 5.28/4.13 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s164, c_c2)) | (~always25(s164)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s164)) | (~m_main_v_state2(s164, c_c2)))),
% 5.28/4.13 inference(transitivity,[status(thm)],[16788, 16786])).
% 5.28/4.13 tff(16790,plain,
% 5.28/4.13 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s164, c_c2)) | (~always25(s164)))),
% 5.28/4.13 inference(quant_inst,[status(thm)],[])).
% 5.28/4.13 tff(16791,plain,
% 5.28/4.13 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s164)) | (~m_main_v_state2(s164, c_c2))),
% 5.28/4.13 inference(modus_ponens,[status(thm)],[16790, 16789])).
% 5.28/4.13 tff(16792,plain,
% 5.28/4.13 (~always25(s164)),
% 5.28/4.13 inference(unit_resolution,[status(thm)],[16791, 16468, 13321])).
% 5.28/4.13 tff(16793,plain,
% 5.28/4.13 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s163, s164)) | (~always25(s163)) | always25(s164))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s163, s164)) | (~always25(s163)) | always25(s164))),
% 5.28/4.13 inference(rewrite,[status(thm)],[])).
% 5.28/4.13 tff(16794,plain,
% 5.28/4.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s163, s164)) | (~always25(s163)) | always25(s164))),
% 5.28/4.13 inference(quant_inst,[status(thm)],[])).
% 5.28/4.13 tff(16795,plain,
% 5.28/4.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s163, s164)) | (~always25(s163)) | always25(s164)),
% 5.28/4.13 inference(modus_ponens,[status(thm)],[16794, 16793])).
% 5.28/4.13 tff(16796,plain,
% 5.28/4.13 ((~always25(s163)) | always25(s164)),
% 5.28/4.13 inference(unit_resolution,[status(thm)],[16795, 16485, 13312])).
% 5.28/4.13 tff(16797,plain,
% 5.28/4.13 (~always25(s163)),
% 5.28/4.13 inference(unit_resolution,[status(thm)],[16796, 16792])).
% 5.28/4.13 tff(16798,plain,
% 5.28/4.13 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s163) | (~node26(s163)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s163) | (~node26(s163)))),
% 5.28/4.13 inference(rewrite,[status(thm)],[])).
% 5.28/4.13 tff(16799,plain,
% 5.28/4.13 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s163) | (~node26(s163)))),
% 5.28/4.13 inference(quant_inst,[status(thm)],[])).
% 5.28/4.13 tff(16800,plain,
% 5.28/4.13 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s163) | (~node26(s163))),
% 5.28/4.13 inference(modus_ponens,[status(thm)],[16799, 16798])).
% 5.28/4.13 tff(16801,plain,
% 5.28/4.13 (~node26(s163)),
% 5.28/4.13 inference(unit_resolution,[status(thm)],[16800, 16500, 16797])).
% 5.28/4.13 tff(16802,plain,
% 5.28/4.13 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s162, s163)) | (~always25(s162)) | always25(s163))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s162, s163)) | (~always25(s162)) | always25(s163))),
% 5.28/4.13 inference(rewrite,[status(thm)],[])).
% 5.28/4.13 tff(16803,plain,
% 5.28/4.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s162, s163)) | (~always25(s162)) | always25(s163))),
% 5.28/4.13 inference(quant_inst,[status(thm)],[])).
% 5.28/4.13 tff(16804,plain,
% 5.28/4.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s162, s163)) | (~always25(s162)) | always25(s163)),
% 5.28/4.13 inference(modus_ponens,[status(thm)],[16803, 16802])).
% 5.28/4.13 tff(16805,plain,
% 5.28/4.13 ((~always25(s162)) | always25(s163)),
% 5.28/4.13 inference(unit_resolution,[status(thm)],[16804, 16485, 13234])).
% 5.28/4.13 tff(16806,plain,
% 5.28/4.13 (~always25(s162)),
% 5.28/4.13 inference(unit_resolution,[status(thm)],[16805, 16797])).
% 5.28/4.13 tff(16807,plain,
% 5.28/4.13 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s162) | (~node26(s162)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s162) | (~node26(s162)))),
% 5.28/4.13 inference(rewrite,[status(thm)],[])).
% 5.28/4.13 tff(16808,plain,
% 5.28/4.13 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s162) | (~node26(s162)))),
% 5.28/4.13 inference(quant_inst,[status(thm)],[])).
% 5.28/4.13 tff(16809,plain,
% 5.28/4.13 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s162) | (~node26(s162))),
% 5.28/4.13 inference(modus_ponens,[status(thm)],[16808, 16807])).
% 5.28/4.13 tff(16810,plain,
% 5.28/4.13 (~node26(s162)),
% 5.28/4.13 inference(unit_resolution,[status(thm)],[16809, 16500, 16806])).
% 5.28/4.13 tff(16811,plain,
% 5.28/4.13 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s161, c_t2) | (~node26(s161)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s161, c_t2) | (~node26(s161)))),
% 5.28/4.13 inference(rewrite,[status(thm)],[])).
% 5.28/4.13 tff(16812,plain,
% 5.28/4.13 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s161, c_t2) | (~node26(s161)))),
% 5.28/4.13 inference(quant_inst,[status(thm)],[])).
% 5.28/4.13 tff(16813,plain,
% 5.28/4.13 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s161, c_t2) | (~node26(s161))),
% 5.28/4.13 inference(modus_ponens,[status(thm)],[16812, 16811])).
% 5.28/4.13 tff(16814,plain,
% 5.28/4.13 (~node26(s161)),
% 5.28/4.13 inference(unit_resolution,[status(thm)],[16813, 16520, 13124])).
% 5.28/4.13 tff(16815,plain,
% 5.28/4.13 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s160)) | (~m_main_v_state2(s160, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s160)) | (~m_main_v_state2(s160, c_c2)))),
% 5.28/4.13 inference(rewrite,[status(thm)],[])).
% 5.28/4.13 tff(16816,plain,
% 5.28/4.13 (((~m_main_v_state2(s160, c_c2)) | (~always25(s160))) <=> ((~always25(s160)) | (~m_main_v_state2(s160, c_c2)))),
% 5.28/4.13 inference(rewrite,[status(thm)],[])).
% 5.28/4.13 tff(16817,plain,
% 5.28/4.13 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s160, c_c2)) | (~always25(s160)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s160)) | (~m_main_v_state2(s160, c_c2))))),
% 5.28/4.13 inference(monotonicity,[status(thm)],[16816])).
% 5.28/4.13 tff(16818,plain,
% 5.28/4.13 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s160, c_c2)) | (~always25(s160)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s160)) | (~m_main_v_state2(s160, c_c2)))),
% 5.28/4.13 inference(transitivity,[status(thm)],[16817, 16815])).
% 5.28/4.13 tff(16819,plain,
% 5.28/4.13 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s160, c_c2)) | (~always25(s160)))),
% 5.28/4.13 inference(quant_inst,[status(thm)],[])).
% 5.28/4.13 tff(16820,plain,
% 5.28/4.13 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s160)) | (~m_main_v_state2(s160, c_c2))),
% 5.28/4.13 inference(modus_ponens,[status(thm)],[16819, 16818])).
% 5.28/4.13 tff(16821,plain,
% 5.28/4.13 (~always25(s160)),
% 5.28/4.13 inference(unit_resolution,[status(thm)],[16820, 16468, 13053])).
% 5.28/4.13 tff(16822,plain,
% 5.28/4.13 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s159, s160)) | (~always25(s159)) | always25(s160))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s159, s160)) | (~always25(s159)) | always25(s160))),
% 5.28/4.13 inference(rewrite,[status(thm)],[])).
% 5.28/4.13 tff(16823,plain,
% 5.28/4.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s159, s160)) | (~always25(s159)) | always25(s160))),
% 5.28/4.13 inference(quant_inst,[status(thm)],[])).
% 5.28/4.13 tff(16824,plain,
% 5.28/4.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s159, s160)) | (~always25(s159)) | always25(s160)),
% 5.28/4.13 inference(modus_ponens,[status(thm)],[16823, 16822])).
% 5.28/4.13 tff(16825,plain,
% 5.28/4.13 ((~always25(s159)) | always25(s160)),
% 5.28/4.13 inference(unit_resolution,[status(thm)],[16824, 16485, 12979])).
% 5.28/4.13 tff(16826,plain,
% 5.28/4.13 (~always25(s159)),
% 5.28/4.13 inference(unit_resolution,[status(thm)],[16825, 16821])).
% 5.28/4.13 tff(16827,plain,
% 5.28/4.13 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s159) | (~node26(s159)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s159) | (~node26(s159)))),
% 5.28/4.13 inference(rewrite,[status(thm)],[])).
% 5.28/4.13 tff(16828,plain,
% 5.28/4.13 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s159) | (~node26(s159)))),
% 5.28/4.13 inference(quant_inst,[status(thm)],[])).
% 5.28/4.13 tff(16829,plain,
% 5.28/4.13 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s159) | (~node26(s159))),
% 5.28/4.13 inference(modus_ponens,[status(thm)],[16828, 16827])).
% 5.28/4.13 tff(16830,plain,
% 5.28/4.13 (~node26(s159)),
% 5.28/4.13 inference(unit_resolution,[status(thm)],[16829, 16500, 16826])).
% 5.28/4.13 tff(16831,plain,
% 5.28/4.13 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s158, s159)) | (~always25(s158)) | always25(s159))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s158, s159)) | (~always25(s158)) | always25(s159))),
% 5.28/4.13 inference(rewrite,[status(thm)],[])).
% 5.28/4.13 tff(16832,plain,
% 5.28/4.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s158, s159)) | (~always25(s158)) | always25(s159))),
% 5.28/4.13 inference(quant_inst,[status(thm)],[])).
% 5.28/4.13 tff(16833,plain,
% 5.28/4.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s158, s159)) | (~always25(s158)) | always25(s159)),
% 5.28/4.13 inference(modus_ponens,[status(thm)],[16832, 16831])).
% 5.28/4.13 tff(16834,plain,
% 5.28/4.13 ((~always25(s158)) | always25(s159)),
% 5.28/4.13 inference(unit_resolution,[status(thm)],[16833, 16485, 12904])).
% 5.28/4.13 tff(16835,plain,
% 5.28/4.13 (~always25(s158)),
% 5.28/4.13 inference(unit_resolution,[status(thm)],[16834, 16826])).
% 5.28/4.13 tff(16836,plain,
% 5.28/4.13 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s158) | (~node26(s158)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s158) | (~node26(s158)))),
% 5.28/4.13 inference(rewrite,[status(thm)],[])).
% 5.28/4.13 tff(16837,plain,
% 5.28/4.13 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s158) | (~node26(s158)))),
% 5.28/4.13 inference(quant_inst,[status(thm)],[])).
% 5.28/4.13 tff(16838,plain,
% 5.28/4.13 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s158) | (~node26(s158))),
% 5.28/4.13 inference(modus_ponens,[status(thm)],[16837, 16836])).
% 5.28/4.13 tff(16839,plain,
% 5.28/4.13 (~node26(s158)),
% 5.28/4.13 inference(unit_resolution,[status(thm)],[16838, 16500, 16835])).
% 5.28/4.13 tff(16840,plain,
% 5.28/4.13 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s157, c_t2) | (~node26(s157)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s157, c_t2) | (~node26(s157)))),
% 5.28/4.13 inference(rewrite,[status(thm)],[])).
% 5.28/4.13 tff(16841,plain,
% 5.28/4.13 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s157, c_t2) | (~node26(s157)))),
% 5.28/4.13 inference(quant_inst,[status(thm)],[])).
% 5.28/4.13 tff(16842,plain,
% 5.28/4.13 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s157, c_t2) | (~node26(s157))),
% 5.28/4.13 inference(modus_ponens,[status(thm)],[16841, 16840])).
% 5.28/4.13 tff(16843,plain,
% 5.28/4.13 (~node26(s157)),
% 5.28/4.13 inference(unit_resolution,[status(thm)],[16842, 16520, 12829])).
% 5.28/4.13 tff(16844,plain,
% 5.28/4.13 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s156)) | (~m_main_v_state2(s156, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s156)) | (~m_main_v_state2(s156, c_c2)))),
% 5.28/4.13 inference(rewrite,[status(thm)],[])).
% 5.28/4.13 tff(16845,plain,
% 5.28/4.13 (((~m_main_v_state2(s156, c_c2)) | (~always25(s156))) <=> ((~always25(s156)) | (~m_main_v_state2(s156, c_c2)))),
% 5.28/4.13 inference(rewrite,[status(thm)],[])).
% 5.28/4.13 tff(16846,plain,
% 5.28/4.13 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s156, c_c2)) | (~always25(s156)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s156)) | (~m_main_v_state2(s156, c_c2))))),
% 5.28/4.13 inference(monotonicity,[status(thm)],[16845])).
% 5.28/4.13 tff(16847,plain,
% 5.28/4.13 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s156, c_c2)) | (~always25(s156)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s156)) | (~m_main_v_state2(s156, c_c2)))),
% 5.28/4.13 inference(transitivity,[status(thm)],[16846, 16844])).
% 5.28/4.13 tff(16848,plain,
% 5.28/4.13 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s156, c_c2)) | (~always25(s156)))),
% 5.28/4.13 inference(quant_inst,[status(thm)],[])).
% 5.28/4.13 tff(16849,plain,
% 5.28/4.13 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s156)) | (~m_main_v_state2(s156, c_c2))),
% 5.28/4.13 inference(modus_ponens,[status(thm)],[16848, 16847])).
% 5.28/4.13 tff(16850,plain,
% 5.28/4.13 (~always25(s156)),
% 5.28/4.13 inference(unit_resolution,[status(thm)],[16849, 16468, 12693])).
% 5.28/4.13 tff(16851,plain,
% 5.28/4.13 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s155, s156)) | (~always25(s155)) | always25(s156))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s155, s156)) | (~always25(s155)) | always25(s156))),
% 5.28/4.13 inference(rewrite,[status(thm)],[])).
% 5.28/4.13 tff(16852,plain,
% 5.28/4.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s155, s156)) | (~always25(s155)) | always25(s156))),
% 5.28/4.13 inference(quant_inst,[status(thm)],[])).
% 5.28/4.13 tff(16853,plain,
% 5.28/4.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s155, s156)) | (~always25(s155)) | always25(s156)),
% 5.28/4.13 inference(modus_ponens,[status(thm)],[16852, 16851])).
% 5.28/4.13 tff(16854,plain,
% 5.28/4.13 ((~always25(s155)) | always25(s156)),
% 5.28/4.13 inference(unit_resolution,[status(thm)],[16853, 16485, 12684])).
% 5.28/4.13 tff(16855,plain,
% 5.28/4.13 (~always25(s155)),
% 5.28/4.13 inference(unit_resolution,[status(thm)],[16854, 16850])).
% 5.28/4.13 tff(16856,plain,
% 5.28/4.13 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s155) | (~node26(s155)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s155) | (~node26(s155)))),
% 5.28/4.13 inference(rewrite,[status(thm)],[])).
% 5.28/4.13 tff(16857,plain,
% 5.28/4.13 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s155) | (~node26(s155)))),
% 5.28/4.13 inference(quant_inst,[status(thm)],[])).
% 5.28/4.13 tff(16858,plain,
% 5.28/4.13 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s155) | (~node26(s155))),
% 5.28/4.13 inference(modus_ponens,[status(thm)],[16857, 16856])).
% 5.28/4.13 tff(16859,plain,
% 5.28/4.13 (~node26(s155)),
% 5.28/4.13 inference(unit_resolution,[status(thm)],[16858, 16500, 16855])).
% 5.28/4.13 tff(16860,plain,
% 5.28/4.13 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s154, s155)) | (~always25(s154)) | always25(s155))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s154, s155)) | (~always25(s154)) | always25(s155))),
% 5.28/4.13 inference(rewrite,[status(thm)],[])).
% 5.28/4.13 tff(16861,plain,
% 5.28/4.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s154, s155)) | (~always25(s154)) | always25(s155))),
% 5.28/4.13 inference(quant_inst,[status(thm)],[])).
% 5.28/4.13 tff(16862,plain,
% 5.28/4.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s154, s155)) | (~always25(s154)) | always25(s155)),
% 5.28/4.13 inference(modus_ponens,[status(thm)],[16861, 16860])).
% 5.28/4.13 tff(16863,plain,
% 5.28/4.13 ((~always25(s154)) | always25(s155)),
% 5.28/4.13 inference(unit_resolution,[status(thm)],[16862, 16485, 12606])).
% 5.28/4.13 tff(16864,plain,
% 5.28/4.13 (~always25(s154)),
% 5.28/4.13 inference(unit_resolution,[status(thm)],[16863, 16855])).
% 5.28/4.13 tff(16865,plain,
% 5.28/4.13 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s154) | (~node26(s154)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s154) | (~node26(s154)))),
% 5.28/4.13 inference(rewrite,[status(thm)],[])).
% 5.28/4.13 tff(16866,plain,
% 5.28/4.13 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s154) | (~node26(s154)))),
% 5.28/4.13 inference(quant_inst,[status(thm)],[])).
% 5.28/4.13 tff(16867,plain,
% 5.28/4.13 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s154) | (~node26(s154))),
% 5.28/4.13 inference(modus_ponens,[status(thm)],[16866, 16865])).
% 5.28/4.13 tff(16868,plain,
% 5.28/4.13 (~node26(s154)),
% 5.28/4.13 inference(unit_resolution,[status(thm)],[16867, 16500, 16864])).
% 5.28/4.13 tff(16869,plain,
% 5.28/4.13 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s153, c_t2) | (~node26(s153)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s153, c_t2) | (~node26(s153)))),
% 5.28/4.13 inference(rewrite,[status(thm)],[])).
% 5.28/4.13 tff(16870,plain,
% 5.28/4.13 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s153, c_t2) | (~node26(s153)))),
% 5.28/4.13 inference(quant_inst,[status(thm)],[])).
% 5.28/4.13 tff(16871,plain,
% 5.28/4.13 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s153, c_t2) | (~node26(s153))),
% 5.28/4.13 inference(modus_ponens,[status(thm)],[16870, 16869])).
% 5.28/4.13 tff(16872,plain,
% 5.28/4.13 (~node26(s153)),
% 5.28/4.13 inference(unit_resolution,[status(thm)],[16871, 16520, 12496])).
% 5.28/4.13 tff(16873,plain,
% 5.28/4.13 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s152)) | (~m_main_v_state2(s152, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s152)) | (~m_main_v_state2(s152, c_c2)))),
% 5.28/4.13 inference(rewrite,[status(thm)],[])).
% 5.28/4.13 tff(16874,plain,
% 5.28/4.13 (((~m_main_v_state2(s152, c_c2)) | (~always25(s152))) <=> ((~always25(s152)) | (~m_main_v_state2(s152, c_c2)))),
% 5.28/4.13 inference(rewrite,[status(thm)],[])).
% 5.28/4.13 tff(16875,plain,
% 5.28/4.13 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s152, c_c2)) | (~always25(s152)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s152)) | (~m_main_v_state2(s152, c_c2))))),
% 5.28/4.13 inference(monotonicity,[status(thm)],[16874])).
% 5.28/4.13 tff(16876,plain,
% 5.28/4.13 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s152, c_c2)) | (~always25(s152)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s152)) | (~m_main_v_state2(s152, c_c2)))),
% 5.28/4.13 inference(transitivity,[status(thm)],[16875, 16873])).
% 5.28/4.13 tff(16877,plain,
% 5.28/4.13 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s152, c_c2)) | (~always25(s152)))),
% 5.28/4.13 inference(quant_inst,[status(thm)],[])).
% 5.28/4.13 tff(16878,plain,
% 5.28/4.13 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s152)) | (~m_main_v_state2(s152, c_c2))),
% 5.28/4.13 inference(modus_ponens,[status(thm)],[16877, 16876])).
% 5.28/4.13 tff(16879,plain,
% 5.28/4.13 (~always25(s152)),
% 5.28/4.13 inference(unit_resolution,[status(thm)],[16878, 16468, 12425])).
% 5.28/4.13 tff(16880,plain,
% 5.28/4.13 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s151, s152)) | (~always25(s151)) | always25(s152))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s151, s152)) | (~always25(s151)) | always25(s152))),
% 5.28/4.13 inference(rewrite,[status(thm)],[])).
% 5.28/4.13 tff(16881,plain,
% 5.28/4.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s151, s152)) | (~always25(s151)) | always25(s152))),
% 5.28/4.13 inference(quant_inst,[status(thm)],[])).
% 5.28/4.13 tff(16882,plain,
% 5.28/4.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s151, s152)) | (~always25(s151)) | always25(s152)),
% 5.28/4.13 inference(modus_ponens,[status(thm)],[16881, 16880])).
% 5.28/4.13 tff(16883,plain,
% 5.28/4.13 ((~always25(s151)) | always25(s152)),
% 5.28/4.13 inference(unit_resolution,[status(thm)],[16882, 16485, 12351])).
% 5.28/4.13 tff(16884,plain,
% 5.28/4.13 (~always25(s151)),
% 5.28/4.13 inference(unit_resolution,[status(thm)],[16883, 16879])).
% 5.28/4.13 tff(16885,plain,
% 5.28/4.13 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s151) | (~node26(s151)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s151) | (~node26(s151)))),
% 5.28/4.13 inference(rewrite,[status(thm)],[])).
% 5.28/4.13 tff(16886,plain,
% 5.28/4.13 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s151) | (~node26(s151)))),
% 5.28/4.13 inference(quant_inst,[status(thm)],[])).
% 5.28/4.13 tff(16887,plain,
% 5.28/4.13 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s151) | (~node26(s151))),
% 5.28/4.13 inference(modus_ponens,[status(thm)],[16886, 16885])).
% 5.28/4.13 tff(16888,plain,
% 5.28/4.13 (~node26(s151)),
% 5.28/4.13 inference(unit_resolution,[status(thm)],[16887, 16500, 16884])).
% 5.28/4.13 tff(16889,plain,
% 5.28/4.13 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s150, s151)) | (~always25(s150)) | always25(s151))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s150, s151)) | (~always25(s150)) | always25(s151))),
% 5.28/4.13 inference(rewrite,[status(thm)],[])).
% 5.28/4.13 tff(16890,plain,
% 5.28/4.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s150, s151)) | (~always25(s150)) | always25(s151))),
% 5.28/4.13 inference(quant_inst,[status(thm)],[])).
% 5.28/4.13 tff(16891,plain,
% 5.28/4.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s150, s151)) | (~always25(s150)) | always25(s151)),
% 5.28/4.13 inference(modus_ponens,[status(thm)],[16890, 16889])).
% 5.28/4.13 tff(16892,plain,
% 5.28/4.13 ((~always25(s150)) | always25(s151)),
% 5.28/4.13 inference(unit_resolution,[status(thm)],[16891, 16485, 12276])).
% 5.28/4.13 tff(16893,plain,
% 5.28/4.13 (~always25(s150)),
% 5.28/4.13 inference(unit_resolution,[status(thm)],[16892, 16884])).
% 5.28/4.13 tff(16894,plain,
% 5.28/4.13 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s150) | (~node26(s150)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s150) | (~node26(s150)))),
% 5.28/4.13 inference(rewrite,[status(thm)],[])).
% 5.28/4.13 tff(16895,plain,
% 5.28/4.13 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s150) | (~node26(s150)))),
% 5.28/4.13 inference(quant_inst,[status(thm)],[])).
% 5.28/4.13 tff(16896,plain,
% 5.28/4.13 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s150) | (~node26(s150))),
% 5.28/4.13 inference(modus_ponens,[status(thm)],[16895, 16894])).
% 5.28/4.13 tff(16897,plain,
% 5.28/4.13 (~node26(s150)),
% 5.28/4.13 inference(unit_resolution,[status(thm)],[16896, 16500, 16893])).
% 5.28/4.13 tff(16898,plain,
% 5.28/4.13 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s149, c_t2) | (~node26(s149)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s149, c_t2) | (~node26(s149)))),
% 5.28/4.13 inference(rewrite,[status(thm)],[])).
% 5.28/4.13 tff(16899,plain,
% 5.28/4.13 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s149, c_t2) | (~node26(s149)))),
% 5.28/4.13 inference(quant_inst,[status(thm)],[])).
% 5.28/4.13 tff(16900,plain,
% 5.28/4.13 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s149, c_t2) | (~node26(s149))),
% 5.28/4.13 inference(modus_ponens,[status(thm)],[16899, 16898])).
% 5.28/4.13 tff(16901,plain,
% 5.28/4.13 (~node26(s149)),
% 5.28/4.13 inference(unit_resolution,[status(thm)],[16900, 16520, 12201])).
% 5.28/4.13 tff(16902,plain,
% 5.28/4.13 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s148)) | (~m_main_v_state2(s148, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s148)) | (~m_main_v_state2(s148, c_c2)))),
% 5.28/4.13 inference(rewrite,[status(thm)],[])).
% 5.28/4.13 tff(16903,plain,
% 5.28/4.13 (((~m_main_v_state2(s148, c_c2)) | (~always25(s148))) <=> ((~always25(s148)) | (~m_main_v_state2(s148, c_c2)))),
% 5.28/4.13 inference(rewrite,[status(thm)],[])).
% 5.28/4.13 tff(16904,plain,
% 5.28/4.13 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s148, c_c2)) | (~always25(s148)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s148)) | (~m_main_v_state2(s148, c_c2))))),
% 5.28/4.13 inference(monotonicity,[status(thm)],[16903])).
% 5.28/4.13 tff(16905,plain,
% 5.28/4.13 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s148, c_c2)) | (~always25(s148)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s148)) | (~m_main_v_state2(s148, c_c2)))),
% 5.28/4.13 inference(transitivity,[status(thm)],[16904, 16902])).
% 5.28/4.13 tff(16906,plain,
% 5.28/4.13 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s148, c_c2)) | (~always25(s148)))),
% 5.28/4.13 inference(quant_inst,[status(thm)],[])).
% 5.28/4.13 tff(16907,plain,
% 5.28/4.13 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s148)) | (~m_main_v_state2(s148, c_c2))),
% 5.28/4.13 inference(modus_ponens,[status(thm)],[16906, 16905])).
% 5.28/4.13 tff(16908,plain,
% 5.28/4.13 (~always25(s148)),
% 5.28/4.13 inference(unit_resolution,[status(thm)],[16907, 16468, 12065])).
% 5.28/4.13 tff(16909,plain,
% 5.28/4.13 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s147, s148)) | (~always25(s147)) | always25(s148))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s147, s148)) | (~always25(s147)) | always25(s148))),
% 5.28/4.13 inference(rewrite,[status(thm)],[])).
% 5.28/4.13 tff(16910,plain,
% 5.28/4.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s147, s148)) | (~always25(s147)) | always25(s148))),
% 5.28/4.13 inference(quant_inst,[status(thm)],[])).
% 5.28/4.13 tff(16911,plain,
% 5.28/4.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s147, s148)) | (~always25(s147)) | always25(s148)),
% 5.28/4.13 inference(modus_ponens,[status(thm)],[16910, 16909])).
% 5.28/4.13 tff(16912,plain,
% 5.28/4.13 ((~always25(s147)) | always25(s148)),
% 5.28/4.13 inference(unit_resolution,[status(thm)],[16911, 16485, 12056])).
% 5.28/4.13 tff(16913,plain,
% 5.28/4.13 (~always25(s147)),
% 5.28/4.13 inference(unit_resolution,[status(thm)],[16912, 16908])).
% 5.28/4.13 tff(16914,plain,
% 5.28/4.13 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s147) | (~node26(s147)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s147) | (~node26(s147)))),
% 5.28/4.13 inference(rewrite,[status(thm)],[])).
% 5.28/4.13 tff(16915,plain,
% 5.28/4.13 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s147) | (~node26(s147)))),
% 5.28/4.13 inference(quant_inst,[status(thm)],[])).
% 5.28/4.13 tff(16916,plain,
% 5.28/4.13 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s147) | (~node26(s147))),
% 5.28/4.13 inference(modus_ponens,[status(thm)],[16915, 16914])).
% 5.28/4.13 tff(16917,plain,
% 5.28/4.13 (~node26(s147)),
% 5.28/4.13 inference(unit_resolution,[status(thm)],[16916, 16500, 16913])).
% 5.28/4.13 tff(16918,plain,
% 5.28/4.13 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s146, s147)) | (~always25(s146)) | always25(s147))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s146, s147)) | (~always25(s146)) | always25(s147))),
% 5.28/4.13 inference(rewrite,[status(thm)],[])).
% 5.28/4.13 tff(16919,plain,
% 5.28/4.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s146, s147)) | (~always25(s146)) | always25(s147))),
% 5.28/4.13 inference(quant_inst,[status(thm)],[])).
% 5.28/4.13 tff(16920,plain,
% 5.28/4.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s146, s147)) | (~always25(s146)) | always25(s147)),
% 5.28/4.13 inference(modus_ponens,[status(thm)],[16919, 16918])).
% 5.28/4.13 tff(16921,plain,
% 5.28/4.13 ((~always25(s146)) | always25(s147)),
% 5.28/4.13 inference(unit_resolution,[status(thm)],[16920, 16485, 11978])).
% 5.28/4.13 tff(16922,plain,
% 5.28/4.13 (~always25(s146)),
% 5.28/4.13 inference(unit_resolution,[status(thm)],[16921, 16913])).
% 5.28/4.13 tff(16923,plain,
% 5.28/4.13 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s146) | (~node26(s146)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s146) | (~node26(s146)))),
% 5.28/4.13 inference(rewrite,[status(thm)],[])).
% 5.28/4.13 tff(16924,plain,
% 5.28/4.13 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s146) | (~node26(s146)))),
% 5.28/4.13 inference(quant_inst,[status(thm)],[])).
% 5.28/4.13 tff(16925,plain,
% 5.28/4.13 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s146) | (~node26(s146))),
% 5.28/4.13 inference(modus_ponens,[status(thm)],[16924, 16923])).
% 5.28/4.13 tff(16926,plain,
% 5.28/4.13 (~node26(s146)),
% 5.28/4.13 inference(unit_resolution,[status(thm)],[16925, 16500, 16922])).
% 5.28/4.13 tff(16927,plain,
% 5.28/4.13 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s145, c_t2) | (~node26(s145)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s145, c_t2) | (~node26(s145)))),
% 5.28/4.13 inference(rewrite,[status(thm)],[])).
% 5.28/4.13 tff(16928,plain,
% 5.28/4.13 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s145, c_t2) | (~node26(s145)))),
% 5.28/4.13 inference(quant_inst,[status(thm)],[])).
% 5.28/4.13 tff(16929,plain,
% 5.28/4.13 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s145, c_t2) | (~node26(s145))),
% 5.28/4.13 inference(modus_ponens,[status(thm)],[16928, 16927])).
% 5.28/4.13 tff(16930,plain,
% 5.28/4.13 (~node26(s145)),
% 5.28/4.13 inference(unit_resolution,[status(thm)],[16929, 16520, 11868])).
% 5.28/4.13 tff(16931,plain,
% 5.28/4.13 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s144)) | (~m_main_v_state2(s144, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s144)) | (~m_main_v_state2(s144, c_c2)))),
% 5.28/4.13 inference(rewrite,[status(thm)],[])).
% 5.28/4.13 tff(16932,plain,
% 5.28/4.13 (((~m_main_v_state2(s144, c_c2)) | (~always25(s144))) <=> ((~always25(s144)) | (~m_main_v_state2(s144, c_c2)))),
% 5.28/4.13 inference(rewrite,[status(thm)],[])).
% 5.28/4.13 tff(16933,plain,
% 5.28/4.13 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s144, c_c2)) | (~always25(s144)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s144)) | (~m_main_v_state2(s144, c_c2))))),
% 5.28/4.13 inference(monotonicity,[status(thm)],[16932])).
% 5.28/4.13 tff(16934,plain,
% 5.28/4.13 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s144, c_c2)) | (~always25(s144)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s144)) | (~m_main_v_state2(s144, c_c2)))),
% 5.28/4.13 inference(transitivity,[status(thm)],[16933, 16931])).
% 5.28/4.13 tff(16935,plain,
% 5.28/4.13 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s144, c_c2)) | (~always25(s144)))),
% 5.28/4.13 inference(quant_inst,[status(thm)],[])).
% 5.28/4.13 tff(16936,plain,
% 5.28/4.13 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s144)) | (~m_main_v_state2(s144, c_c2))),
% 5.28/4.13 inference(modus_ponens,[status(thm)],[16935, 16934])).
% 5.28/4.13 tff(16937,plain,
% 5.28/4.13 (~always25(s144)),
% 5.28/4.13 inference(unit_resolution,[status(thm)],[16936, 16468, 11797])).
% 5.28/4.13 tff(16938,plain,
% 5.28/4.13 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s143, s144)) | (~always25(s143)) | always25(s144))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s143, s144)) | (~always25(s143)) | always25(s144))),
% 5.28/4.13 inference(rewrite,[status(thm)],[])).
% 5.28/4.13 tff(16939,plain,
% 5.28/4.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s143, s144)) | (~always25(s143)) | always25(s144))),
% 5.28/4.13 inference(quant_inst,[status(thm)],[])).
% 5.28/4.13 tff(16940,plain,
% 5.28/4.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s143, s144)) | (~always25(s143)) | always25(s144)),
% 5.28/4.13 inference(modus_ponens,[status(thm)],[16939, 16938])).
% 5.28/4.13 tff(16941,plain,
% 5.28/4.13 ((~always25(s143)) | always25(s144)),
% 5.28/4.13 inference(unit_resolution,[status(thm)],[16940, 16485, 11723])).
% 5.28/4.13 tff(16942,plain,
% 5.28/4.13 (~always25(s143)),
% 5.28/4.13 inference(unit_resolution,[status(thm)],[16941, 16937])).
% 5.28/4.13 tff(16943,plain,
% 5.28/4.13 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s143) | (~node26(s143)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s143) | (~node26(s143)))),
% 5.28/4.13 inference(rewrite,[status(thm)],[])).
% 5.28/4.13 tff(16944,plain,
% 5.28/4.13 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s143) | (~node26(s143)))),
% 5.28/4.13 inference(quant_inst,[status(thm)],[])).
% 5.28/4.13 tff(16945,plain,
% 5.28/4.13 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s143) | (~node26(s143))),
% 5.28/4.13 inference(modus_ponens,[status(thm)],[16944, 16943])).
% 5.28/4.13 tff(16946,plain,
% 5.28/4.13 (~node26(s143)),
% 5.28/4.13 inference(unit_resolution,[status(thm)],[16945, 16500, 16942])).
% 5.28/4.13 tff(16947,plain,
% 5.28/4.13 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s142, s143)) | (~always25(s142)) | always25(s143))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s142, s143)) | (~always25(s142)) | always25(s143))),
% 5.28/4.13 inference(rewrite,[status(thm)],[])).
% 5.28/4.13 tff(16948,plain,
% 5.28/4.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s142, s143)) | (~always25(s142)) | always25(s143))),
% 5.28/4.14 inference(quant_inst,[status(thm)],[])).
% 5.28/4.14 tff(16949,plain,
% 5.28/4.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s142, s143)) | (~always25(s142)) | always25(s143)),
% 5.28/4.14 inference(modus_ponens,[status(thm)],[16948, 16947])).
% 5.28/4.14 tff(16950,plain,
% 5.28/4.14 ((~always25(s142)) | always25(s143)),
% 5.28/4.14 inference(unit_resolution,[status(thm)],[16949, 16485, 11648])).
% 5.28/4.14 tff(16951,plain,
% 5.28/4.14 (~always25(s142)),
% 5.28/4.14 inference(unit_resolution,[status(thm)],[16950, 16942])).
% 5.28/4.14 tff(16952,plain,
% 5.28/4.14 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s142) | (~node26(s142)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s142) | (~node26(s142)))),
% 5.28/4.14 inference(rewrite,[status(thm)],[])).
% 5.28/4.14 tff(16953,plain,
% 5.28/4.14 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s142) | (~node26(s142)))),
% 5.28/4.14 inference(quant_inst,[status(thm)],[])).
% 5.28/4.14 tff(16954,plain,
% 5.28/4.14 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s142) | (~node26(s142))),
% 5.28/4.14 inference(modus_ponens,[status(thm)],[16953, 16952])).
% 5.28/4.14 tff(16955,plain,
% 5.28/4.14 (~node26(s142)),
% 5.28/4.14 inference(unit_resolution,[status(thm)],[16954, 16500, 16951])).
% 5.28/4.14 tff(16956,plain,
% 5.28/4.14 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s141, c_t2) | (~node26(s141)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s141, c_t2) | (~node26(s141)))),
% 5.28/4.14 inference(rewrite,[status(thm)],[])).
% 5.28/4.14 tff(16957,plain,
% 5.28/4.14 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s141, c_t2) | (~node26(s141)))),
% 5.28/4.14 inference(quant_inst,[status(thm)],[])).
% 5.28/4.14 tff(16958,plain,
% 5.28/4.14 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s141, c_t2) | (~node26(s141))),
% 5.28/4.14 inference(modus_ponens,[status(thm)],[16957, 16956])).
% 5.28/4.14 tff(16959,plain,
% 5.28/4.14 (~node26(s141)),
% 5.28/4.14 inference(unit_resolution,[status(thm)],[16958, 16520, 11573])).
% 5.28/4.14 tff(16960,plain,
% 5.28/4.14 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s140)) | (~m_main_v_state2(s140, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s140)) | (~m_main_v_state2(s140, c_c2)))),
% 5.28/4.14 inference(rewrite,[status(thm)],[])).
% 5.28/4.14 tff(16961,plain,
% 5.28/4.14 (((~m_main_v_state2(s140, c_c2)) | (~always25(s140))) <=> ((~always25(s140)) | (~m_main_v_state2(s140, c_c2)))),
% 5.28/4.14 inference(rewrite,[status(thm)],[])).
% 5.28/4.14 tff(16962,plain,
% 5.28/4.14 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s140, c_c2)) | (~always25(s140)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s140)) | (~m_main_v_state2(s140, c_c2))))),
% 5.28/4.14 inference(monotonicity,[status(thm)],[16961])).
% 5.28/4.14 tff(16963,plain,
% 5.28/4.14 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s140, c_c2)) | (~always25(s140)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s140)) | (~m_main_v_state2(s140, c_c2)))),
% 5.28/4.14 inference(transitivity,[status(thm)],[16962, 16960])).
% 5.28/4.14 tff(16964,plain,
% 5.28/4.14 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s140, c_c2)) | (~always25(s140)))),
% 5.28/4.14 inference(quant_inst,[status(thm)],[])).
% 5.28/4.14 tff(16965,plain,
% 5.28/4.14 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s140)) | (~m_main_v_state2(s140, c_c2))),
% 5.28/4.14 inference(modus_ponens,[status(thm)],[16964, 16963])).
% 5.28/4.14 tff(16966,plain,
% 5.28/4.14 (~always25(s140)),
% 5.28/4.14 inference(unit_resolution,[status(thm)],[16965, 16468, 11437])).
% 5.28/4.14 tff(16967,plain,
% 5.28/4.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s139, s140)) | (~always25(s139)) | always25(s140))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s139, s140)) | (~always25(s139)) | always25(s140))),
% 5.28/4.14 inference(rewrite,[status(thm)],[])).
% 5.28/4.14 tff(16968,plain,
% 5.28/4.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s139, s140)) | (~always25(s139)) | always25(s140))),
% 5.28/4.14 inference(quant_inst,[status(thm)],[])).
% 5.28/4.14 tff(16969,plain,
% 5.28/4.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s139, s140)) | (~always25(s139)) | always25(s140)),
% 5.28/4.14 inference(modus_ponens,[status(thm)],[16968, 16967])).
% 5.28/4.14 tff(16970,plain,
% 5.28/4.14 ((~always25(s139)) | always25(s140)),
% 5.28/4.14 inference(unit_resolution,[status(thm)],[16969, 16485, 11428])).
% 5.28/4.14 tff(16971,plain,
% 5.28/4.14 (~always25(s139)),
% 5.28/4.14 inference(unit_resolution,[status(thm)],[16970, 16966])).
% 5.28/4.14 tff(16972,plain,
% 5.28/4.14 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s139) | (~node26(s139)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s139) | (~node26(s139)))),
% 5.28/4.14 inference(rewrite,[status(thm)],[])).
% 5.28/4.14 tff(16973,plain,
% 5.28/4.14 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s139) | (~node26(s139)))),
% 5.28/4.14 inference(quant_inst,[status(thm)],[])).
% 5.28/4.14 tff(16974,plain,
% 5.28/4.14 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s139) | (~node26(s139))),
% 5.28/4.14 inference(modus_ponens,[status(thm)],[16973, 16972])).
% 5.28/4.14 tff(16975,plain,
% 5.28/4.14 (~node26(s139)),
% 5.28/4.14 inference(unit_resolution,[status(thm)],[16974, 16500, 16971])).
% 5.28/4.14 tff(16976,plain,
% 5.28/4.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s138, s139)) | (~always25(s138)) | always25(s139))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s138, s139)) | (~always25(s138)) | always25(s139))),
% 5.28/4.14 inference(rewrite,[status(thm)],[])).
% 5.28/4.14 tff(16977,plain,
% 5.28/4.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s138, s139)) | (~always25(s138)) | always25(s139))),
% 5.28/4.14 inference(quant_inst,[status(thm)],[])).
% 5.28/4.14 tff(16978,plain,
% 5.28/4.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s138, s139)) | (~always25(s138)) | always25(s139)),
% 5.28/4.14 inference(modus_ponens,[status(thm)],[16977, 16976])).
% 5.28/4.14 tff(16979,plain,
% 5.28/4.14 ((~always25(s138)) | always25(s139)),
% 5.28/4.14 inference(unit_resolution,[status(thm)],[16978, 16485, 11350])).
% 5.28/4.14 tff(16980,plain,
% 5.28/4.14 (~always25(s138)),
% 5.28/4.14 inference(unit_resolution,[status(thm)],[16979, 16971])).
% 5.28/4.14 tff(16981,plain,
% 5.28/4.14 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s138) | (~node26(s138)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s138) | (~node26(s138)))),
% 5.28/4.14 inference(rewrite,[status(thm)],[])).
% 5.28/4.14 tff(16982,plain,
% 5.28/4.14 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s138) | (~node26(s138)))),
% 5.28/4.14 inference(quant_inst,[status(thm)],[])).
% 5.28/4.14 tff(16983,plain,
% 5.28/4.14 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s138) | (~node26(s138))),
% 5.28/4.14 inference(modus_ponens,[status(thm)],[16982, 16981])).
% 5.28/4.14 tff(16984,plain,
% 5.28/4.14 (~node26(s138)),
% 5.28/4.14 inference(unit_resolution,[status(thm)],[16983, 16500, 16980])).
% 5.28/4.14 tff(16985,plain,
% 5.28/4.14 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s137, c_t2) | (~node26(s137)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s137, c_t2) | (~node26(s137)))),
% 5.28/4.14 inference(rewrite,[status(thm)],[])).
% 5.28/4.14 tff(16986,plain,
% 5.28/4.14 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s137, c_t2) | (~node26(s137)))),
% 5.28/4.14 inference(quant_inst,[status(thm)],[])).
% 5.28/4.14 tff(16987,plain,
% 5.28/4.14 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s137, c_t2) | (~node26(s137))),
% 5.28/4.14 inference(modus_ponens,[status(thm)],[16986, 16985])).
% 5.28/4.14 tff(16988,plain,
% 5.28/4.14 (~node26(s137)),
% 5.28/4.14 inference(unit_resolution,[status(thm)],[16987, 16520, 11240])).
% 5.28/4.14 tff(16989,plain,
% 5.28/4.14 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s136)) | (~m_main_v_state2(s136, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s136)) | (~m_main_v_state2(s136, c_c2)))),
% 5.28/4.14 inference(rewrite,[status(thm)],[])).
% 5.28/4.14 tff(16990,plain,
% 5.28/4.14 (((~m_main_v_state2(s136, c_c2)) | (~always25(s136))) <=> ((~always25(s136)) | (~m_main_v_state2(s136, c_c2)))),
% 5.28/4.14 inference(rewrite,[status(thm)],[])).
% 5.28/4.14 tff(16991,plain,
% 5.28/4.14 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s136, c_c2)) | (~always25(s136)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s136)) | (~m_main_v_state2(s136, c_c2))))),
% 5.28/4.14 inference(monotonicity,[status(thm)],[16990])).
% 5.28/4.14 tff(16992,plain,
% 5.28/4.14 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s136, c_c2)) | (~always25(s136)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s136)) | (~m_main_v_state2(s136, c_c2)))),
% 5.28/4.14 inference(transitivity,[status(thm)],[16991, 16989])).
% 5.28/4.14 tff(16993,plain,
% 5.28/4.14 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s136, c_c2)) | (~always25(s136)))),
% 5.28/4.14 inference(quant_inst,[status(thm)],[])).
% 5.28/4.14 tff(16994,plain,
% 5.28/4.14 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s136)) | (~m_main_v_state2(s136, c_c2))),
% 5.28/4.14 inference(modus_ponens,[status(thm)],[16993, 16992])).
% 5.28/4.14 tff(16995,plain,
% 5.28/4.14 (~always25(s136)),
% 5.28/4.14 inference(unit_resolution,[status(thm)],[16994, 16468, 11169])).
% 5.28/4.14 tff(16996,plain,
% 5.28/4.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s135, s136)) | (~always25(s135)) | always25(s136))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s135, s136)) | (~always25(s135)) | always25(s136))),
% 5.28/4.14 inference(rewrite,[status(thm)],[])).
% 5.28/4.14 tff(16997,plain,
% 5.28/4.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s135, s136)) | (~always25(s135)) | always25(s136))),
% 5.28/4.14 inference(quant_inst,[status(thm)],[])).
% 5.28/4.14 tff(16998,plain,
% 5.28/4.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s135, s136)) | (~always25(s135)) | always25(s136)),
% 5.28/4.14 inference(modus_ponens,[status(thm)],[16997, 16996])).
% 5.28/4.14 tff(16999,plain,
% 5.28/4.14 ((~always25(s135)) | always25(s136)),
% 5.28/4.14 inference(unit_resolution,[status(thm)],[16998, 16485, 11095])).
% 5.28/4.14 tff(17000,plain,
% 5.28/4.14 (~always25(s135)),
% 5.28/4.14 inference(unit_resolution,[status(thm)],[16999, 16995])).
% 5.28/4.14 tff(17001,plain,
% 5.28/4.14 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s135) | (~node26(s135)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s135) | (~node26(s135)))),
% 5.28/4.14 inference(rewrite,[status(thm)],[])).
% 5.28/4.14 tff(17002,plain,
% 5.28/4.14 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s135) | (~node26(s135)))),
% 5.28/4.14 inference(quant_inst,[status(thm)],[])).
% 5.28/4.14 tff(17003,plain,
% 5.28/4.14 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s135) | (~node26(s135))),
% 5.28/4.14 inference(modus_ponens,[status(thm)],[17002, 17001])).
% 5.28/4.14 tff(17004,plain,
% 5.28/4.14 (~node26(s135)),
% 5.28/4.14 inference(unit_resolution,[status(thm)],[17003, 16500, 17000])).
% 5.28/4.14 tff(17005,plain,
% 5.28/4.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s134, s135)) | (~always25(s134)) | always25(s135))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s134, s135)) | (~always25(s134)) | always25(s135))),
% 5.28/4.14 inference(rewrite,[status(thm)],[])).
% 5.28/4.14 tff(17006,plain,
% 5.28/4.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s134, s135)) | (~always25(s134)) | always25(s135))),
% 5.28/4.14 inference(quant_inst,[status(thm)],[])).
% 5.28/4.14 tff(17007,plain,
% 5.28/4.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s134, s135)) | (~always25(s134)) | always25(s135)),
% 5.28/4.14 inference(modus_ponens,[status(thm)],[17006, 17005])).
% 5.28/4.14 tff(17008,plain,
% 5.28/4.14 ((~always25(s134)) | always25(s135)),
% 5.28/4.14 inference(unit_resolution,[status(thm)],[17007, 16485, 11020])).
% 5.28/4.14 tff(17009,plain,
% 5.28/4.14 (~always25(s134)),
% 5.28/4.14 inference(unit_resolution,[status(thm)],[17008, 17000])).
% 5.28/4.14 tff(17010,plain,
% 5.28/4.14 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s134) | (~node26(s134)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s134) | (~node26(s134)))),
% 5.28/4.14 inference(rewrite,[status(thm)],[])).
% 5.28/4.14 tff(17011,plain,
% 5.28/4.14 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s134) | (~node26(s134)))),
% 5.28/4.14 inference(quant_inst,[status(thm)],[])).
% 5.28/4.14 tff(17012,plain,
% 5.28/4.14 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s134) | (~node26(s134))),
% 5.28/4.14 inference(modus_ponens,[status(thm)],[17011, 17010])).
% 5.28/4.14 tff(17013,plain,
% 5.28/4.14 (~node26(s134)),
% 5.28/4.14 inference(unit_resolution,[status(thm)],[17012, 16500, 17009])).
% 5.28/4.14 tff(17014,plain,
% 5.28/4.14 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s133, c_t2) | (~node26(s133)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s133, c_t2) | (~node26(s133)))),
% 5.28/4.14 inference(rewrite,[status(thm)],[])).
% 5.28/4.14 tff(17015,plain,
% 5.28/4.14 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s133, c_t2) | (~node26(s133)))),
% 5.28/4.14 inference(quant_inst,[status(thm)],[])).
% 5.28/4.14 tff(17016,plain,
% 5.28/4.14 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s133, c_t2) | (~node26(s133))),
% 5.28/4.14 inference(modus_ponens,[status(thm)],[17015, 17014])).
% 5.28/4.14 tff(17017,plain,
% 5.28/4.14 (~node26(s133)),
% 5.28/4.14 inference(unit_resolution,[status(thm)],[17016, 16520, 10945])).
% 5.28/4.14 tff(17018,plain,
% 5.28/4.14 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s132)) | (~m_main_v_state2(s132, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s132)) | (~m_main_v_state2(s132, c_c2)))),
% 5.28/4.14 inference(rewrite,[status(thm)],[])).
% 5.28/4.14 tff(17019,plain,
% 5.28/4.14 (((~m_main_v_state2(s132, c_c2)) | (~always25(s132))) <=> ((~always25(s132)) | (~m_main_v_state2(s132, c_c2)))),
% 5.28/4.14 inference(rewrite,[status(thm)],[])).
% 5.28/4.14 tff(17020,plain,
% 5.28/4.14 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s132, c_c2)) | (~always25(s132)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s132)) | (~m_main_v_state2(s132, c_c2))))),
% 5.28/4.14 inference(monotonicity,[status(thm)],[17019])).
% 5.28/4.14 tff(17021,plain,
% 5.28/4.14 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s132, c_c2)) | (~always25(s132)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s132)) | (~m_main_v_state2(s132, c_c2)))),
% 5.28/4.14 inference(transitivity,[status(thm)],[17020, 17018])).
% 5.28/4.14 tff(17022,plain,
% 5.28/4.14 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s132, c_c2)) | (~always25(s132)))),
% 5.28/4.14 inference(quant_inst,[status(thm)],[])).
% 5.28/4.14 tff(17023,plain,
% 5.28/4.14 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s132)) | (~m_main_v_state2(s132, c_c2))),
% 5.28/4.14 inference(modus_ponens,[status(thm)],[17022, 17021])).
% 5.28/4.14 tff(17024,plain,
% 5.28/4.14 (~always25(s132)),
% 5.28/4.14 inference(unit_resolution,[status(thm)],[17023, 16468, 10809])).
% 5.28/4.14 tff(17025,plain,
% 5.28/4.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s131, s132)) | (~always25(s131)) | always25(s132))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s131, s132)) | (~always25(s131)) | always25(s132))),
% 5.28/4.14 inference(rewrite,[status(thm)],[])).
% 5.28/4.14 tff(17026,plain,
% 5.28/4.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s131, s132)) | (~always25(s131)) | always25(s132))),
% 5.28/4.14 inference(quant_inst,[status(thm)],[])).
% 5.28/4.14 tff(17027,plain,
% 5.28/4.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s131, s132)) | (~always25(s131)) | always25(s132)),
% 5.28/4.14 inference(modus_ponens,[status(thm)],[17026, 17025])).
% 5.28/4.14 tff(17028,plain,
% 5.28/4.14 ((~always25(s131)) | always25(s132)),
% 5.28/4.14 inference(unit_resolution,[status(thm)],[17027, 16485, 10800])).
% 5.28/4.14 tff(17029,plain,
% 5.28/4.14 (~always25(s131)),
% 5.28/4.14 inference(unit_resolution,[status(thm)],[17028, 17024])).
% 5.28/4.14 tff(17030,plain,
% 5.28/4.14 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s131) | (~node26(s131)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s131) | (~node26(s131)))),
% 5.28/4.14 inference(rewrite,[status(thm)],[])).
% 5.28/4.14 tff(17031,plain,
% 5.28/4.14 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s131) | (~node26(s131)))),
% 5.28/4.14 inference(quant_inst,[status(thm)],[])).
% 5.28/4.14 tff(17032,plain,
% 5.28/4.14 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s131) | (~node26(s131))),
% 5.28/4.14 inference(modus_ponens,[status(thm)],[17031, 17030])).
% 5.28/4.14 tff(17033,plain,
% 5.28/4.14 (~node26(s131)),
% 5.28/4.14 inference(unit_resolution,[status(thm)],[17032, 16500, 17029])).
% 5.28/4.14 tff(17034,plain,
% 5.28/4.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s130, s131)) | (~always25(s130)) | always25(s131))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s130, s131)) | (~always25(s130)) | always25(s131))),
% 5.28/4.14 inference(rewrite,[status(thm)],[])).
% 5.28/4.14 tff(17035,plain,
% 5.28/4.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s130, s131)) | (~always25(s130)) | always25(s131))),
% 5.28/4.14 inference(quant_inst,[status(thm)],[])).
% 5.28/4.14 tff(17036,plain,
% 5.28/4.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s130, s131)) | (~always25(s130)) | always25(s131)),
% 5.28/4.14 inference(modus_ponens,[status(thm)],[17035, 17034])).
% 5.28/4.14 tff(17037,plain,
% 5.28/4.14 ((~always25(s130)) | always25(s131)),
% 5.28/4.14 inference(unit_resolution,[status(thm)],[17036, 16485, 10722])).
% 5.28/4.14 tff(17038,plain,
% 5.28/4.14 (~always25(s130)),
% 5.28/4.14 inference(unit_resolution,[status(thm)],[17037, 17029])).
% 5.28/4.14 tff(17039,plain,
% 5.28/4.14 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s130) | (~node26(s130)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s130) | (~node26(s130)))),
% 5.28/4.14 inference(rewrite,[status(thm)],[])).
% 5.28/4.14 tff(17040,plain,
% 5.28/4.14 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s130) | (~node26(s130)))),
% 5.28/4.14 inference(quant_inst,[status(thm)],[])).
% 5.28/4.14 tff(17041,plain,
% 5.28/4.14 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s130) | (~node26(s130))),
% 5.28/4.14 inference(modus_ponens,[status(thm)],[17040, 17039])).
% 5.28/4.14 tff(17042,plain,
% 5.28/4.14 (~node26(s130)),
% 5.28/4.14 inference(unit_resolution,[status(thm)],[17041, 16500, 17038])).
% 5.28/4.14 tff(17043,plain,
% 5.28/4.14 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s129, c_t2) | (~node26(s129)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s129, c_t2) | (~node26(s129)))),
% 5.28/4.14 inference(rewrite,[status(thm)],[])).
% 5.28/4.14 tff(17044,plain,
% 5.28/4.14 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s129, c_t2) | (~node26(s129)))),
% 5.28/4.14 inference(quant_inst,[status(thm)],[])).
% 5.28/4.14 tff(17045,plain,
% 5.28/4.14 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s129, c_t2) | (~node26(s129))),
% 5.28/4.14 inference(modus_ponens,[status(thm)],[17044, 17043])).
% 5.28/4.14 tff(17046,plain,
% 5.28/4.14 (~node26(s129)),
% 5.28/4.14 inference(unit_resolution,[status(thm)],[17045, 16520, 10612])).
% 5.28/4.14 tff(17047,plain,
% 5.28/4.14 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s128)) | (~m_main_v_state2(s128, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s128)) | (~m_main_v_state2(s128, c_c2)))),
% 5.28/4.14 inference(rewrite,[status(thm)],[])).
% 5.28/4.14 tff(17048,plain,
% 5.28/4.14 (((~m_main_v_state2(s128, c_c2)) | (~always25(s128))) <=> ((~always25(s128)) | (~m_main_v_state2(s128, c_c2)))),
% 5.28/4.14 inference(rewrite,[status(thm)],[])).
% 5.28/4.14 tff(17049,plain,
% 5.28/4.14 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s128, c_c2)) | (~always25(s128)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s128)) | (~m_main_v_state2(s128, c_c2))))),
% 5.28/4.14 inference(monotonicity,[status(thm)],[17048])).
% 5.28/4.14 tff(17050,plain,
% 5.28/4.14 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s128, c_c2)) | (~always25(s128)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s128)) | (~m_main_v_state2(s128, c_c2)))),
% 5.28/4.14 inference(transitivity,[status(thm)],[17049, 17047])).
% 5.28/4.14 tff(17051,plain,
% 5.28/4.14 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s128, c_c2)) | (~always25(s128)))),
% 5.28/4.14 inference(quant_inst,[status(thm)],[])).
% 5.28/4.14 tff(17052,plain,
% 5.28/4.14 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s128)) | (~m_main_v_state2(s128, c_c2))),
% 5.28/4.14 inference(modus_ponens,[status(thm)],[17051, 17050])).
% 5.28/4.14 tff(17053,plain,
% 5.28/4.14 (~always25(s128)),
% 5.28/4.14 inference(unit_resolution,[status(thm)],[17052, 16468, 10541])).
% 5.28/4.14 tff(17054,plain,
% 5.28/4.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s127, s128)) | (~always25(s127)) | always25(s128))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s127, s128)) | (~always25(s127)) | always25(s128))),
% 5.28/4.14 inference(rewrite,[status(thm)],[])).
% 5.28/4.14 tff(17055,plain,
% 5.28/4.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s127, s128)) | (~always25(s127)) | always25(s128))),
% 5.28/4.14 inference(quant_inst,[status(thm)],[])).
% 5.28/4.14 tff(17056,plain,
% 5.28/4.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s127, s128)) | (~always25(s127)) | always25(s128)),
% 5.28/4.14 inference(modus_ponens,[status(thm)],[17055, 17054])).
% 5.28/4.14 tff(17057,plain,
% 5.28/4.14 ((~always25(s127)) | always25(s128)),
% 5.28/4.14 inference(unit_resolution,[status(thm)],[17056, 16485, 10467])).
% 5.28/4.14 tff(17058,plain,
% 5.28/4.14 (~always25(s127)),
% 5.28/4.14 inference(unit_resolution,[status(thm)],[17057, 17053])).
% 5.28/4.14 tff(17059,plain,
% 5.28/4.14 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s127) | (~node26(s127)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s127) | (~node26(s127)))),
% 5.28/4.14 inference(rewrite,[status(thm)],[])).
% 5.28/4.14 tff(17060,plain,
% 5.28/4.14 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s127) | (~node26(s127)))),
% 5.28/4.14 inference(quant_inst,[status(thm)],[])).
% 5.28/4.14 tff(17061,plain,
% 5.28/4.14 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s127) | (~node26(s127))),
% 5.28/4.14 inference(modus_ponens,[status(thm)],[17060, 17059])).
% 5.28/4.14 tff(17062,plain,
% 5.28/4.14 (~node26(s127)),
% 5.28/4.14 inference(unit_resolution,[status(thm)],[17061, 16500, 17058])).
% 5.28/4.14 tff(17063,plain,
% 5.28/4.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s126, s127)) | (~always25(s126)) | always25(s127))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s126, s127)) | (~always25(s126)) | always25(s127))),
% 5.28/4.14 inference(rewrite,[status(thm)],[])).
% 5.28/4.14 tff(17064,plain,
% 5.28/4.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s126, s127)) | (~always25(s126)) | always25(s127))),
% 5.28/4.14 inference(quant_inst,[status(thm)],[])).
% 5.28/4.14 tff(17065,plain,
% 5.28/4.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s126, s127)) | (~always25(s126)) | always25(s127)),
% 5.28/4.14 inference(modus_ponens,[status(thm)],[17064, 17063])).
% 5.28/4.14 tff(17066,plain,
% 5.28/4.14 ((~always25(s126)) | always25(s127)),
% 5.28/4.14 inference(unit_resolution,[status(thm)],[17065, 16485, 10392])).
% 5.28/4.14 tff(17067,plain,
% 5.28/4.14 (~always25(s126)),
% 5.28/4.14 inference(unit_resolution,[status(thm)],[17066, 17058])).
% 5.28/4.14 tff(17068,plain,
% 5.28/4.14 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s126) | (~node26(s126)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s126) | (~node26(s126)))),
% 5.28/4.14 inference(rewrite,[status(thm)],[])).
% 5.28/4.14 tff(17069,plain,
% 5.28/4.14 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s126) | (~node26(s126)))),
% 5.28/4.14 inference(quant_inst,[status(thm)],[])).
% 5.28/4.14 tff(17070,plain,
% 5.28/4.14 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s126) | (~node26(s126))),
% 5.28/4.14 inference(modus_ponens,[status(thm)],[17069, 17068])).
% 5.28/4.14 tff(17071,plain,
% 5.28/4.14 (~node26(s126)),
% 5.28/4.14 inference(unit_resolution,[status(thm)],[17070, 16500, 17067])).
% 5.28/4.14 tff(17072,plain,
% 5.28/4.14 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s125, c_t2) | (~node26(s125)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s125, c_t2) | (~node26(s125)))),
% 5.28/4.14 inference(rewrite,[status(thm)],[])).
% 5.28/4.14 tff(17073,plain,
% 5.28/4.14 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s125, c_t2) | (~node26(s125)))),
% 5.28/4.14 inference(quant_inst,[status(thm)],[])).
% 5.28/4.14 tff(17074,plain,
% 5.28/4.14 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s125, c_t2) | (~node26(s125))),
% 5.28/4.14 inference(modus_ponens,[status(thm)],[17073, 17072])).
% 5.28/4.14 tff(17075,plain,
% 5.28/4.14 (~node26(s125)),
% 5.28/4.14 inference(unit_resolution,[status(thm)],[17074, 16520, 10317])).
% 5.28/4.14 tff(17076,plain,
% 5.28/4.14 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s124)) | (~m_main_v_state2(s124, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s124)) | (~m_main_v_state2(s124, c_c2)))),
% 5.28/4.14 inference(rewrite,[status(thm)],[])).
% 5.28/4.14 tff(17077,plain,
% 5.28/4.14 (((~m_main_v_state2(s124, c_c2)) | (~always25(s124))) <=> ((~always25(s124)) | (~m_main_v_state2(s124, c_c2)))),
% 5.28/4.14 inference(rewrite,[status(thm)],[])).
% 5.28/4.14 tff(17078,plain,
% 5.28/4.14 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s124, c_c2)) | (~always25(s124)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s124)) | (~m_main_v_state2(s124, c_c2))))),
% 5.28/4.14 inference(monotonicity,[status(thm)],[17077])).
% 5.28/4.14 tff(17079,plain,
% 5.28/4.14 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s124, c_c2)) | (~always25(s124)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s124)) | (~m_main_v_state2(s124, c_c2)))),
% 5.28/4.14 inference(transitivity,[status(thm)],[17078, 17076])).
% 5.28/4.14 tff(17080,plain,
% 5.28/4.14 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s124, c_c2)) | (~always25(s124)))),
% 5.28/4.14 inference(quant_inst,[status(thm)],[])).
% 5.28/4.14 tff(17081,plain,
% 5.28/4.14 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s124)) | (~m_main_v_state2(s124, c_c2))),
% 5.28/4.14 inference(modus_ponens,[status(thm)],[17080, 17079])).
% 5.28/4.14 tff(17082,plain,
% 5.28/4.14 (~always25(s124)),
% 5.28/4.14 inference(unit_resolution,[status(thm)],[17081, 16468, 10181])).
% 5.28/4.14 tff(17083,plain,
% 5.28/4.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s123, s124)) | (~always25(s123)) | always25(s124))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s123, s124)) | (~always25(s123)) | always25(s124))),
% 5.28/4.14 inference(rewrite,[status(thm)],[])).
% 5.28/4.14 tff(17084,plain,
% 5.28/4.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s123, s124)) | (~always25(s123)) | always25(s124))),
% 5.28/4.14 inference(quant_inst,[status(thm)],[])).
% 5.28/4.14 tff(17085,plain,
% 5.28/4.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s123, s124)) | (~always25(s123)) | always25(s124)),
% 5.28/4.14 inference(modus_ponens,[status(thm)],[17084, 17083])).
% 5.28/4.14 tff(17086,plain,
% 5.28/4.14 ((~always25(s123)) | always25(s124)),
% 5.28/4.14 inference(unit_resolution,[status(thm)],[17085, 16485, 10172])).
% 5.28/4.14 tff(17087,plain,
% 5.28/4.14 (~always25(s123)),
% 5.28/4.14 inference(unit_resolution,[status(thm)],[17086, 17082])).
% 5.28/4.14 tff(17088,plain,
% 5.28/4.14 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s123) | (~node26(s123)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s123) | (~node26(s123)))),
% 5.28/4.14 inference(rewrite,[status(thm)],[])).
% 5.28/4.14 tff(17089,plain,
% 5.28/4.14 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s123) | (~node26(s123)))),
% 5.28/4.14 inference(quant_inst,[status(thm)],[])).
% 5.28/4.14 tff(17090,plain,
% 5.28/4.14 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s123) | (~node26(s123))),
% 5.28/4.14 inference(modus_ponens,[status(thm)],[17089, 17088])).
% 5.28/4.14 tff(17091,plain,
% 5.28/4.14 (~node26(s123)),
% 5.28/4.14 inference(unit_resolution,[status(thm)],[17090, 16500, 17087])).
% 5.28/4.14 tff(17092,plain,
% 5.28/4.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s122, s123)) | (~always25(s122)) | always25(s123))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s122, s123)) | (~always25(s122)) | always25(s123))),
% 5.28/4.14 inference(rewrite,[status(thm)],[])).
% 5.28/4.14 tff(17093,plain,
% 5.28/4.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s122, s123)) | (~always25(s122)) | always25(s123))),
% 5.28/4.14 inference(quant_inst,[status(thm)],[])).
% 5.28/4.14 tff(17094,plain,
% 5.28/4.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s122, s123)) | (~always25(s122)) | always25(s123)),
% 5.28/4.14 inference(modus_ponens,[status(thm)],[17093, 17092])).
% 5.28/4.14 tff(17095,plain,
% 5.28/4.14 ((~always25(s122)) | always25(s123)),
% 5.28/4.14 inference(unit_resolution,[status(thm)],[17094, 16485, 10094])).
% 5.28/4.14 tff(17096,plain,
% 5.28/4.14 (~always25(s122)),
% 5.28/4.14 inference(unit_resolution,[status(thm)],[17095, 17087])).
% 5.28/4.14 tff(17097,plain,
% 5.28/4.14 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s122) | (~node26(s122)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s122) | (~node26(s122)))),
% 5.28/4.14 inference(rewrite,[status(thm)],[])).
% 5.28/4.14 tff(17098,plain,
% 5.28/4.14 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s122) | (~node26(s122)))),
% 5.28/4.14 inference(quant_inst,[status(thm)],[])).
% 5.28/4.14 tff(17099,plain,
% 5.28/4.14 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s122) | (~node26(s122))),
% 5.28/4.14 inference(modus_ponens,[status(thm)],[17098, 17097])).
% 5.28/4.14 tff(17100,plain,
% 5.28/4.14 (~node26(s122)),
% 5.28/4.14 inference(unit_resolution,[status(thm)],[17099, 16500, 17096])).
% 5.28/4.14 tff(17101,plain,
% 5.28/4.14 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s121, c_t2) | (~node26(s121)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s121, c_t2) | (~node26(s121)))),
% 5.28/4.14 inference(rewrite,[status(thm)],[])).
% 5.28/4.14 tff(17102,plain,
% 5.28/4.14 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s121, c_t2) | (~node26(s121)))),
% 5.28/4.14 inference(quant_inst,[status(thm)],[])).
% 5.28/4.14 tff(17103,plain,
% 5.28/4.14 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s121, c_t2) | (~node26(s121))),
% 5.28/4.14 inference(modus_ponens,[status(thm)],[17102, 17101])).
% 5.28/4.14 tff(17104,plain,
% 5.28/4.14 (~node26(s121)),
% 5.28/4.14 inference(unit_resolution,[status(thm)],[17103, 16520, 9984])).
% 5.28/4.14 tff(17105,plain,
% 5.28/4.14 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s120)) | (~m_main_v_state2(s120, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s120)) | (~m_main_v_state2(s120, c_c2)))),
% 5.28/4.14 inference(rewrite,[status(thm)],[])).
% 5.28/4.14 tff(17106,plain,
% 5.28/4.14 (((~m_main_v_state2(s120, c_c2)) | (~always25(s120))) <=> ((~always25(s120)) | (~m_main_v_state2(s120, c_c2)))),
% 5.28/4.14 inference(rewrite,[status(thm)],[])).
% 5.28/4.14 tff(17107,plain,
% 5.28/4.14 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s120, c_c2)) | (~always25(s120)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s120)) | (~m_main_v_state2(s120, c_c2))))),
% 5.28/4.14 inference(monotonicity,[status(thm)],[17106])).
% 5.28/4.14 tff(17108,plain,
% 5.28/4.14 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s120, c_c2)) | (~always25(s120)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s120)) | (~m_main_v_state2(s120, c_c2)))),
% 5.28/4.14 inference(transitivity,[status(thm)],[17107, 17105])).
% 5.28/4.14 tff(17109,plain,
% 5.28/4.14 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s120, c_c2)) | (~always25(s120)))),
% 5.28/4.14 inference(quant_inst,[status(thm)],[])).
% 5.28/4.14 tff(17110,plain,
% 5.28/4.14 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s120)) | (~m_main_v_state2(s120, c_c2))),
% 5.28/4.14 inference(modus_ponens,[status(thm)],[17109, 17108])).
% 5.28/4.14 tff(17111,plain,
% 5.28/4.14 (~always25(s120)),
% 5.28/4.14 inference(unit_resolution,[status(thm)],[17110, 16468, 9913])).
% 5.28/4.14 tff(17112,plain,
% 5.28/4.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s119, s120)) | (~always25(s119)) | always25(s120))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s119, s120)) | (~always25(s119)) | always25(s120))),
% 5.28/4.14 inference(rewrite,[status(thm)],[])).
% 5.28/4.14 tff(17113,plain,
% 5.28/4.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s119, s120)) | (~always25(s119)) | always25(s120))),
% 5.28/4.14 inference(quant_inst,[status(thm)],[])).
% 5.28/4.14 tff(17114,plain,
% 5.28/4.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s119, s120)) | (~always25(s119)) | always25(s120)),
% 5.28/4.14 inference(modus_ponens,[status(thm)],[17113, 17112])).
% 5.28/4.14 tff(17115,plain,
% 5.28/4.14 ((~always25(s119)) | always25(s120)),
% 5.28/4.14 inference(unit_resolution,[status(thm)],[17114, 16485, 9839])).
% 5.28/4.14 tff(17116,plain,
% 5.28/4.14 (~always25(s119)),
% 5.28/4.14 inference(unit_resolution,[status(thm)],[17115, 17111])).
% 5.28/4.14 tff(17117,plain,
% 5.28/4.14 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s119) | (~node26(s119)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s119) | (~node26(s119)))),
% 5.28/4.14 inference(rewrite,[status(thm)],[])).
% 5.28/4.14 tff(17118,plain,
% 5.28/4.14 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s119) | (~node26(s119)))),
% 5.28/4.14 inference(quant_inst,[status(thm)],[])).
% 5.28/4.14 tff(17119,plain,
% 5.28/4.14 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s119) | (~node26(s119))),
% 5.28/4.14 inference(modus_ponens,[status(thm)],[17118, 17117])).
% 5.28/4.14 tff(17120,plain,
% 5.28/4.14 (~node26(s119)),
% 5.28/4.14 inference(unit_resolution,[status(thm)],[17119, 16500, 17116])).
% 5.28/4.14 tff(17121,plain,
% 5.28/4.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s118, s119)) | (~always25(s118)) | always25(s119))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s118, s119)) | (~always25(s118)) | always25(s119))),
% 5.28/4.14 inference(rewrite,[status(thm)],[])).
% 5.28/4.14 tff(17122,plain,
% 5.28/4.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s118, s119)) | (~always25(s118)) | always25(s119))),
% 5.28/4.14 inference(quant_inst,[status(thm)],[])).
% 5.28/4.14 tff(17123,plain,
% 5.28/4.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s118, s119)) | (~always25(s118)) | always25(s119)),
% 5.28/4.14 inference(modus_ponens,[status(thm)],[17122, 17121])).
% 5.28/4.14 tff(17124,plain,
% 5.28/4.14 ((~always25(s118)) | always25(s119)),
% 5.28/4.14 inference(unit_resolution,[status(thm)],[17123, 16485, 9764])).
% 5.28/4.14 tff(17125,plain,
% 5.28/4.14 (~always25(s118)),
% 5.28/4.14 inference(unit_resolution,[status(thm)],[17124, 17116])).
% 5.28/4.14 tff(17126,plain,
% 5.28/4.14 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s118) | (~node26(s118)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s118) | (~node26(s118)))),
% 5.28/4.14 inference(rewrite,[status(thm)],[])).
% 5.28/4.14 tff(17127,plain,
% 5.28/4.14 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s118) | (~node26(s118)))),
% 5.28/4.14 inference(quant_inst,[status(thm)],[])).
% 5.28/4.14 tff(17128,plain,
% 5.28/4.14 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s118) | (~node26(s118))),
% 5.28/4.14 inference(modus_ponens,[status(thm)],[17127, 17126])).
% 5.28/4.14 tff(17129,plain,
% 5.28/4.14 (~node26(s118)),
% 5.28/4.14 inference(unit_resolution,[status(thm)],[17128, 16500, 17125])).
% 5.28/4.15 tff(17130,plain,
% 5.28/4.15 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s117, c_t2) | (~node26(s117)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s117, c_t2) | (~node26(s117)))),
% 5.28/4.15 inference(rewrite,[status(thm)],[])).
% 5.28/4.15 tff(17131,plain,
% 5.28/4.15 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s117, c_t2) | (~node26(s117)))),
% 5.28/4.15 inference(quant_inst,[status(thm)],[])).
% 5.28/4.15 tff(17132,plain,
% 5.28/4.15 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s117, c_t2) | (~node26(s117))),
% 5.28/4.15 inference(modus_ponens,[status(thm)],[17131, 17130])).
% 5.28/4.15 tff(17133,plain,
% 5.28/4.15 (~node26(s117)),
% 5.28/4.15 inference(unit_resolution,[status(thm)],[17132, 16520, 9689])).
% 5.28/4.15 tff(17134,plain,
% 5.28/4.15 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s116)) | (~m_main_v_state2(s116, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s116)) | (~m_main_v_state2(s116, c_c2)))),
% 5.28/4.15 inference(rewrite,[status(thm)],[])).
% 5.28/4.15 tff(17135,plain,
% 5.28/4.15 (((~m_main_v_state2(s116, c_c2)) | (~always25(s116))) <=> ((~always25(s116)) | (~m_main_v_state2(s116, c_c2)))),
% 5.28/4.15 inference(rewrite,[status(thm)],[])).
% 5.28/4.15 tff(17136,plain,
% 5.28/4.15 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s116, c_c2)) | (~always25(s116)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s116)) | (~m_main_v_state2(s116, c_c2))))),
% 5.28/4.15 inference(monotonicity,[status(thm)],[17135])).
% 5.28/4.15 tff(17137,plain,
% 5.28/4.15 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s116, c_c2)) | (~always25(s116)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s116)) | (~m_main_v_state2(s116, c_c2)))),
% 5.28/4.15 inference(transitivity,[status(thm)],[17136, 17134])).
% 5.28/4.15 tff(17138,plain,
% 5.28/4.15 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s116, c_c2)) | (~always25(s116)))),
% 5.28/4.15 inference(quant_inst,[status(thm)],[])).
% 5.28/4.15 tff(17139,plain,
% 5.28/4.15 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s116)) | (~m_main_v_state2(s116, c_c2))),
% 5.28/4.15 inference(modus_ponens,[status(thm)],[17138, 17137])).
% 5.28/4.15 tff(17140,plain,
% 5.28/4.15 (~always25(s116)),
% 5.28/4.15 inference(unit_resolution,[status(thm)],[17139, 16468, 9553])).
% 5.28/4.15 tff(17141,plain,
% 5.28/4.15 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s115, s116)) | (~always25(s115)) | always25(s116))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s115, s116)) | (~always25(s115)) | always25(s116))),
% 5.28/4.15 inference(rewrite,[status(thm)],[])).
% 5.28/4.15 tff(17142,plain,
% 5.28/4.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s115, s116)) | (~always25(s115)) | always25(s116))),
% 5.28/4.15 inference(quant_inst,[status(thm)],[])).
% 5.28/4.15 tff(17143,plain,
% 5.28/4.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s115, s116)) | (~always25(s115)) | always25(s116)),
% 5.28/4.15 inference(modus_ponens,[status(thm)],[17142, 17141])).
% 5.28/4.15 tff(17144,plain,
% 5.28/4.15 ((~always25(s115)) | always25(s116)),
% 5.28/4.15 inference(unit_resolution,[status(thm)],[17143, 16485, 9544])).
% 5.28/4.15 tff(17145,plain,
% 5.28/4.15 (~always25(s115)),
% 5.28/4.15 inference(unit_resolution,[status(thm)],[17144, 17140])).
% 5.28/4.15 tff(17146,plain,
% 5.28/4.15 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s115) | (~node26(s115)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s115) | (~node26(s115)))),
% 5.28/4.15 inference(rewrite,[status(thm)],[])).
% 5.28/4.15 tff(17147,plain,
% 5.28/4.15 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s115) | (~node26(s115)))),
% 5.28/4.15 inference(quant_inst,[status(thm)],[])).
% 5.28/4.15 tff(17148,plain,
% 5.28/4.15 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s115) | (~node26(s115))),
% 5.28/4.15 inference(modus_ponens,[status(thm)],[17147, 17146])).
% 5.28/4.15 tff(17149,plain,
% 5.28/4.15 (~node26(s115)),
% 5.28/4.15 inference(unit_resolution,[status(thm)],[17148, 16500, 17145])).
% 5.28/4.15 tff(17150,plain,
% 5.28/4.15 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s114, s115)) | (~always25(s114)) | always25(s115))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s114, s115)) | (~always25(s114)) | always25(s115))),
% 5.28/4.15 inference(rewrite,[status(thm)],[])).
% 5.28/4.15 tff(17151,plain,
% 5.28/4.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s114, s115)) | (~always25(s114)) | always25(s115))),
% 5.28/4.15 inference(quant_inst,[status(thm)],[])).
% 5.28/4.15 tff(17152,plain,
% 5.28/4.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s114, s115)) | (~always25(s114)) | always25(s115)),
% 5.28/4.15 inference(modus_ponens,[status(thm)],[17151, 17150])).
% 5.28/4.15 tff(17153,plain,
% 5.28/4.15 ((~always25(s114)) | always25(s115)),
% 5.28/4.15 inference(unit_resolution,[status(thm)],[17152, 16485, 9466])).
% 5.28/4.15 tff(17154,plain,
% 5.28/4.15 (~always25(s114)),
% 5.28/4.15 inference(unit_resolution,[status(thm)],[17153, 17145])).
% 5.28/4.15 tff(17155,plain,
% 5.28/4.15 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s114) | (~node26(s114)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s114) | (~node26(s114)))),
% 5.28/4.15 inference(rewrite,[status(thm)],[])).
% 5.28/4.15 tff(17156,plain,
% 5.28/4.15 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s114) | (~node26(s114)))),
% 5.28/4.15 inference(quant_inst,[status(thm)],[])).
% 5.28/4.15 tff(17157,plain,
% 5.28/4.15 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s114) | (~node26(s114))),
% 5.28/4.15 inference(modus_ponens,[status(thm)],[17156, 17155])).
% 5.28/4.15 tff(17158,plain,
% 5.28/4.15 (~node26(s114)),
% 5.28/4.15 inference(unit_resolution,[status(thm)],[17157, 16500, 17154])).
% 5.28/4.15 tff(17159,plain,
% 5.28/4.15 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s113, c_t2) | (~node26(s113)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s113, c_t2) | (~node26(s113)))),
% 5.28/4.15 inference(rewrite,[status(thm)],[])).
% 5.28/4.15 tff(17160,plain,
% 5.28/4.15 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s113, c_t2) | (~node26(s113)))),
% 5.28/4.15 inference(quant_inst,[status(thm)],[])).
% 5.28/4.15 tff(17161,plain,
% 5.28/4.15 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s113, c_t2) | (~node26(s113))),
% 5.28/4.15 inference(modus_ponens,[status(thm)],[17160, 17159])).
% 5.28/4.15 tff(17162,plain,
% 5.28/4.15 (~node26(s113)),
% 5.28/4.15 inference(unit_resolution,[status(thm)],[17161, 16520, 9356])).
% 5.28/4.15 tff(17163,plain,
% 5.28/4.15 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s112)) | (~m_main_v_state2(s112, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s112)) | (~m_main_v_state2(s112, c_c2)))),
% 5.28/4.15 inference(rewrite,[status(thm)],[])).
% 5.28/4.15 tff(17164,plain,
% 5.28/4.15 (((~m_main_v_state2(s112, c_c2)) | (~always25(s112))) <=> ((~always25(s112)) | (~m_main_v_state2(s112, c_c2)))),
% 5.28/4.15 inference(rewrite,[status(thm)],[])).
% 5.28/4.15 tff(17165,plain,
% 5.28/4.15 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s112, c_c2)) | (~always25(s112)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s112)) | (~m_main_v_state2(s112, c_c2))))),
% 5.28/4.15 inference(monotonicity,[status(thm)],[17164])).
% 5.28/4.15 tff(17166,plain,
% 5.28/4.15 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s112, c_c2)) | (~always25(s112)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s112)) | (~m_main_v_state2(s112, c_c2)))),
% 5.28/4.15 inference(transitivity,[status(thm)],[17165, 17163])).
% 5.28/4.15 tff(17167,plain,
% 5.28/4.15 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s112, c_c2)) | (~always25(s112)))),
% 5.28/4.15 inference(quant_inst,[status(thm)],[])).
% 5.28/4.15 tff(17168,plain,
% 5.28/4.15 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s112)) | (~m_main_v_state2(s112, c_c2))),
% 5.28/4.15 inference(modus_ponens,[status(thm)],[17167, 17166])).
% 5.28/4.15 tff(17169,plain,
% 5.28/4.15 (~always25(s112)),
% 5.28/4.15 inference(unit_resolution,[status(thm)],[17168, 16468, 9285])).
% 5.28/4.15 tff(17170,plain,
% 5.28/4.15 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s111, s112)) | (~always25(s111)) | always25(s112))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s111, s112)) | (~always25(s111)) | always25(s112))),
% 5.28/4.15 inference(rewrite,[status(thm)],[])).
% 5.28/4.15 tff(17171,plain,
% 5.28/4.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s111, s112)) | (~always25(s111)) | always25(s112))),
% 5.28/4.15 inference(quant_inst,[status(thm)],[])).
% 5.28/4.15 tff(17172,plain,
% 5.28/4.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s111, s112)) | (~always25(s111)) | always25(s112)),
% 5.28/4.15 inference(modus_ponens,[status(thm)],[17171, 17170])).
% 5.28/4.15 tff(17173,plain,
% 5.28/4.15 ((~always25(s111)) | always25(s112)),
% 5.28/4.15 inference(unit_resolution,[status(thm)],[17172, 16485, 9211])).
% 5.28/4.15 tff(17174,plain,
% 5.28/4.15 (~always25(s111)),
% 5.28/4.15 inference(unit_resolution,[status(thm)],[17173, 17169])).
% 5.28/4.15 tff(17175,plain,
% 5.28/4.15 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s111) | (~node26(s111)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s111) | (~node26(s111)))),
% 5.28/4.15 inference(rewrite,[status(thm)],[])).
% 5.28/4.15 tff(17176,plain,
% 5.28/4.15 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s111) | (~node26(s111)))),
% 5.28/4.15 inference(quant_inst,[status(thm)],[])).
% 5.28/4.15 tff(17177,plain,
% 5.28/4.15 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s111) | (~node26(s111))),
% 5.28/4.15 inference(modus_ponens,[status(thm)],[17176, 17175])).
% 5.28/4.15 tff(17178,plain,
% 5.28/4.15 (~node26(s111)),
% 5.28/4.15 inference(unit_resolution,[status(thm)],[17177, 16500, 17174])).
% 5.28/4.15 tff(17179,plain,
% 5.28/4.15 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s110, s111)) | (~always25(s110)) | always25(s111))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s110, s111)) | (~always25(s110)) | always25(s111))),
% 5.28/4.15 inference(rewrite,[status(thm)],[])).
% 5.28/4.15 tff(17180,plain,
% 5.28/4.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s110, s111)) | (~always25(s110)) | always25(s111))),
% 5.28/4.15 inference(quant_inst,[status(thm)],[])).
% 5.28/4.15 tff(17181,plain,
% 5.28/4.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s110, s111)) | (~always25(s110)) | always25(s111)),
% 5.28/4.15 inference(modus_ponens,[status(thm)],[17180, 17179])).
% 5.28/4.15 tff(17182,plain,
% 5.28/4.15 ((~always25(s110)) | always25(s111)),
% 5.28/4.15 inference(unit_resolution,[status(thm)],[17181, 16485, 9136])).
% 5.28/4.15 tff(17183,plain,
% 5.28/4.15 (~always25(s110)),
% 5.28/4.15 inference(unit_resolution,[status(thm)],[17182, 17174])).
% 5.28/4.15 tff(17184,plain,
% 5.28/4.15 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s110) | (~node26(s110)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s110) | (~node26(s110)))),
% 5.28/4.15 inference(rewrite,[status(thm)],[])).
% 5.28/4.15 tff(17185,plain,
% 5.28/4.15 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s110) | (~node26(s110)))),
% 5.28/4.15 inference(quant_inst,[status(thm)],[])).
% 5.28/4.15 tff(17186,plain,
% 5.28/4.15 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s110) | (~node26(s110))),
% 5.28/4.15 inference(modus_ponens,[status(thm)],[17185, 17184])).
% 5.28/4.15 tff(17187,plain,
% 5.28/4.15 (~node26(s110)),
% 5.28/4.15 inference(unit_resolution,[status(thm)],[17186, 16500, 17183])).
% 5.28/4.15 tff(17188,plain,
% 5.28/4.15 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s109, c_t2) | (~node26(s109)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s109, c_t2) | (~node26(s109)))),
% 5.28/4.15 inference(rewrite,[status(thm)],[])).
% 5.28/4.15 tff(17189,plain,
% 5.28/4.15 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s109, c_t2) | (~node26(s109)))),
% 5.28/4.15 inference(quant_inst,[status(thm)],[])).
% 5.28/4.15 tff(17190,plain,
% 5.28/4.15 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s109, c_t2) | (~node26(s109))),
% 5.28/4.15 inference(modus_ponens,[status(thm)],[17189, 17188])).
% 5.28/4.15 tff(17191,plain,
% 5.28/4.15 (~node26(s109)),
% 5.28/4.15 inference(unit_resolution,[status(thm)],[17190, 16520, 9061])).
% 5.28/4.15 tff(17192,plain,
% 5.28/4.15 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s108)) | (~m_main_v_state2(s108, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s108)) | (~m_main_v_state2(s108, c_c2)))),
% 5.28/4.15 inference(rewrite,[status(thm)],[])).
% 5.28/4.15 tff(17193,plain,
% 5.28/4.15 (((~m_main_v_state2(s108, c_c2)) | (~always25(s108))) <=> ((~always25(s108)) | (~m_main_v_state2(s108, c_c2)))),
% 5.28/4.15 inference(rewrite,[status(thm)],[])).
% 5.28/4.15 tff(17194,plain,
% 5.28/4.15 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s108, c_c2)) | (~always25(s108)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s108)) | (~m_main_v_state2(s108, c_c2))))),
% 5.28/4.15 inference(monotonicity,[status(thm)],[17193])).
% 5.28/4.15 tff(17195,plain,
% 5.28/4.15 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s108, c_c2)) | (~always25(s108)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s108)) | (~m_main_v_state2(s108, c_c2)))),
% 5.28/4.15 inference(transitivity,[status(thm)],[17194, 17192])).
% 5.28/4.15 tff(17196,plain,
% 5.28/4.15 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s108, c_c2)) | (~always25(s108)))),
% 5.28/4.15 inference(quant_inst,[status(thm)],[])).
% 5.28/4.15 tff(17197,plain,
% 5.28/4.15 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s108)) | (~m_main_v_state2(s108, c_c2))),
% 5.28/4.15 inference(modus_ponens,[status(thm)],[17196, 17195])).
% 5.28/4.15 tff(17198,plain,
% 5.28/4.15 (~always25(s108)),
% 5.28/4.15 inference(unit_resolution,[status(thm)],[17197, 16468, 8925])).
% 5.28/4.15 tff(17199,plain,
% 5.28/4.15 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s107, s108)) | (~always25(s107)) | always25(s108))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s107, s108)) | (~always25(s107)) | always25(s108))),
% 5.28/4.15 inference(rewrite,[status(thm)],[])).
% 5.28/4.15 tff(17200,plain,
% 5.28/4.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s107, s108)) | (~always25(s107)) | always25(s108))),
% 5.28/4.15 inference(quant_inst,[status(thm)],[])).
% 5.28/4.15 tff(17201,plain,
% 5.28/4.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s107, s108)) | (~always25(s107)) | always25(s108)),
% 5.28/4.15 inference(modus_ponens,[status(thm)],[17200, 17199])).
% 5.28/4.15 tff(17202,plain,
% 5.28/4.15 ((~always25(s107)) | always25(s108)),
% 5.28/4.15 inference(unit_resolution,[status(thm)],[17201, 16485, 8916])).
% 5.28/4.15 tff(17203,plain,
% 5.28/4.15 (~always25(s107)),
% 5.28/4.15 inference(unit_resolution,[status(thm)],[17202, 17198])).
% 5.28/4.15 tff(17204,plain,
% 5.28/4.15 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s107) | (~node26(s107)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s107) | (~node26(s107)))),
% 5.28/4.15 inference(rewrite,[status(thm)],[])).
% 5.28/4.15 tff(17205,plain,
% 5.28/4.15 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s107) | (~node26(s107)))),
% 5.28/4.15 inference(quant_inst,[status(thm)],[])).
% 5.28/4.15 tff(17206,plain,
% 5.28/4.15 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s107) | (~node26(s107))),
% 5.28/4.15 inference(modus_ponens,[status(thm)],[17205, 17204])).
% 5.28/4.15 tff(17207,plain,
% 5.28/4.15 (~node26(s107)),
% 5.28/4.15 inference(unit_resolution,[status(thm)],[17206, 16500, 17203])).
% 5.28/4.15 tff(17208,plain,
% 5.28/4.15 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s106, s107)) | (~always25(s106)) | always25(s107))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s106, s107)) | (~always25(s106)) | always25(s107))),
% 5.28/4.15 inference(rewrite,[status(thm)],[])).
% 5.28/4.15 tff(17209,plain,
% 5.28/4.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s106, s107)) | (~always25(s106)) | always25(s107))),
% 5.28/4.15 inference(quant_inst,[status(thm)],[])).
% 5.28/4.15 tff(17210,plain,
% 5.28/4.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s106, s107)) | (~always25(s106)) | always25(s107)),
% 5.28/4.15 inference(modus_ponens,[status(thm)],[17209, 17208])).
% 5.28/4.15 tff(17211,plain,
% 5.28/4.15 ((~always25(s106)) | always25(s107)),
% 5.28/4.15 inference(unit_resolution,[status(thm)],[17210, 16485, 8838])).
% 5.28/4.15 tff(17212,plain,
% 5.28/4.15 (~always25(s106)),
% 5.28/4.15 inference(unit_resolution,[status(thm)],[17211, 17203])).
% 5.28/4.15 tff(17213,plain,
% 5.28/4.15 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s106) | (~node26(s106)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s106) | (~node26(s106)))),
% 5.28/4.15 inference(rewrite,[status(thm)],[])).
% 5.28/4.15 tff(17214,plain,
% 5.28/4.15 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s106) | (~node26(s106)))),
% 5.28/4.15 inference(quant_inst,[status(thm)],[])).
% 5.28/4.15 tff(17215,plain,
% 5.28/4.15 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s106) | (~node26(s106))),
% 5.28/4.15 inference(modus_ponens,[status(thm)],[17214, 17213])).
% 5.28/4.15 tff(17216,plain,
% 5.28/4.15 (~node26(s106)),
% 5.28/4.15 inference(unit_resolution,[status(thm)],[17215, 16500, 17212])).
% 5.28/4.15 tff(17217,plain,
% 5.28/4.15 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s105, c_t2) | (~node26(s105)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s105, c_t2) | (~node26(s105)))),
% 5.28/4.15 inference(rewrite,[status(thm)],[])).
% 5.28/4.15 tff(17218,plain,
% 5.28/4.15 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s105, c_t2) | (~node26(s105)))),
% 5.28/4.15 inference(quant_inst,[status(thm)],[])).
% 5.28/4.15 tff(17219,plain,
% 5.28/4.15 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s105, c_t2) | (~node26(s105))),
% 5.28/4.15 inference(modus_ponens,[status(thm)],[17218, 17217])).
% 5.28/4.15 tff(17220,plain,
% 5.28/4.15 (~node26(s105)),
% 5.28/4.15 inference(unit_resolution,[status(thm)],[17219, 16520, 8728])).
% 5.28/4.15 tff(17221,plain,
% 5.28/4.15 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s104)) | (~m_main_v_state2(s104, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s104)) | (~m_main_v_state2(s104, c_c2)))),
% 5.28/4.15 inference(rewrite,[status(thm)],[])).
% 5.28/4.15 tff(17222,plain,
% 5.28/4.15 (((~m_main_v_state2(s104, c_c2)) | (~always25(s104))) <=> ((~always25(s104)) | (~m_main_v_state2(s104, c_c2)))),
% 5.28/4.15 inference(rewrite,[status(thm)],[])).
% 5.28/4.15 tff(17223,plain,
% 5.28/4.15 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s104, c_c2)) | (~always25(s104)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s104)) | (~m_main_v_state2(s104, c_c2))))),
% 5.28/4.15 inference(monotonicity,[status(thm)],[17222])).
% 5.28/4.15 tff(17224,plain,
% 5.28/4.15 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s104, c_c2)) | (~always25(s104)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s104)) | (~m_main_v_state2(s104, c_c2)))),
% 5.28/4.15 inference(transitivity,[status(thm)],[17223, 17221])).
% 5.28/4.15 tff(17225,plain,
% 5.28/4.15 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s104, c_c2)) | (~always25(s104)))),
% 5.28/4.15 inference(quant_inst,[status(thm)],[])).
% 5.28/4.15 tff(17226,plain,
% 5.28/4.15 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s104)) | (~m_main_v_state2(s104, c_c2))),
% 5.28/4.15 inference(modus_ponens,[status(thm)],[17225, 17224])).
% 5.28/4.15 tff(17227,plain,
% 5.28/4.15 (~always25(s104)),
% 5.28/4.15 inference(unit_resolution,[status(thm)],[17226, 16468, 8657])).
% 5.28/4.15 tff(17228,plain,
% 5.28/4.15 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s103, s104)) | (~always25(s103)) | always25(s104))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s103, s104)) | (~always25(s103)) | always25(s104))),
% 5.28/4.15 inference(rewrite,[status(thm)],[])).
% 5.28/4.15 tff(17229,plain,
% 5.28/4.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s103, s104)) | (~always25(s103)) | always25(s104))),
% 5.28/4.15 inference(quant_inst,[status(thm)],[])).
% 5.28/4.15 tff(17230,plain,
% 5.28/4.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s103, s104)) | (~always25(s103)) | always25(s104)),
% 5.28/4.15 inference(modus_ponens,[status(thm)],[17229, 17228])).
% 5.28/4.15 tff(17231,plain,
% 5.28/4.15 ((~always25(s103)) | always25(s104)),
% 5.28/4.15 inference(unit_resolution,[status(thm)],[17230, 16485, 8583])).
% 5.28/4.15 tff(17232,plain,
% 5.28/4.15 (~always25(s103)),
% 5.28/4.15 inference(unit_resolution,[status(thm)],[17231, 17227])).
% 5.28/4.15 tff(17233,plain,
% 5.28/4.15 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s103) | (~node26(s103)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s103) | (~node26(s103)))),
% 5.28/4.15 inference(rewrite,[status(thm)],[])).
% 5.28/4.15 tff(17234,plain,
% 5.28/4.15 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s103) | (~node26(s103)))),
% 5.28/4.15 inference(quant_inst,[status(thm)],[])).
% 5.28/4.15 tff(17235,plain,
% 5.28/4.15 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s103) | (~node26(s103))),
% 5.28/4.15 inference(modus_ponens,[status(thm)],[17234, 17233])).
% 5.28/4.15 tff(17236,plain,
% 5.28/4.15 (~node26(s103)),
% 5.28/4.15 inference(unit_resolution,[status(thm)],[17235, 16500, 17232])).
% 5.28/4.15 tff(17237,plain,
% 5.28/4.15 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s102, s103)) | (~always25(s102)) | always25(s103))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s102, s103)) | (~always25(s102)) | always25(s103))),
% 5.28/4.15 inference(rewrite,[status(thm)],[])).
% 5.28/4.15 tff(17238,plain,
% 5.28/4.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s102, s103)) | (~always25(s102)) | always25(s103))),
% 5.28/4.15 inference(quant_inst,[status(thm)],[])).
% 5.28/4.15 tff(17239,plain,
% 5.28/4.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s102, s103)) | (~always25(s102)) | always25(s103)),
% 5.28/4.15 inference(modus_ponens,[status(thm)],[17238, 17237])).
% 5.28/4.15 tff(17240,plain,
% 5.28/4.15 ((~always25(s102)) | always25(s103)),
% 5.28/4.15 inference(unit_resolution,[status(thm)],[17239, 16485, 8508])).
% 5.28/4.15 tff(17241,plain,
% 5.28/4.15 (~always25(s102)),
% 5.28/4.15 inference(unit_resolution,[status(thm)],[17240, 17232])).
% 5.28/4.15 tff(17242,plain,
% 5.28/4.15 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s102) | (~node26(s102)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s102) | (~node26(s102)))),
% 5.28/4.15 inference(rewrite,[status(thm)],[])).
% 5.28/4.15 tff(17243,plain,
% 5.28/4.15 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s102) | (~node26(s102)))),
% 5.28/4.15 inference(quant_inst,[status(thm)],[])).
% 5.28/4.15 tff(17244,plain,
% 5.28/4.15 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s102) | (~node26(s102))),
% 5.28/4.15 inference(modus_ponens,[status(thm)],[17243, 17242])).
% 5.28/4.15 tff(17245,plain,
% 5.28/4.15 (~node26(s102)),
% 5.28/4.15 inference(unit_resolution,[status(thm)],[17244, 16500, 17241])).
% 5.28/4.15 tff(17246,plain,
% 5.28/4.15 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s101, c_t2) | (~node26(s101)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s101, c_t2) | (~node26(s101)))),
% 5.28/4.15 inference(rewrite,[status(thm)],[])).
% 5.28/4.15 tff(17247,plain,
% 5.28/4.15 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s101, c_t2) | (~node26(s101)))),
% 5.28/4.15 inference(quant_inst,[status(thm)],[])).
% 5.28/4.15 tff(17248,plain,
% 5.28/4.15 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s101, c_t2) | (~node26(s101))),
% 5.28/4.15 inference(modus_ponens,[status(thm)],[17247, 17246])).
% 5.28/4.15 tff(17249,plain,
% 5.28/4.15 (~node26(s101)),
% 5.28/4.15 inference(unit_resolution,[status(thm)],[17248, 16520, 8433])).
% 5.28/4.15 tff(17250,plain,
% 5.28/4.15 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s100)) | (~m_main_v_state2(s100, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s100)) | (~m_main_v_state2(s100, c_c2)))),
% 5.28/4.15 inference(rewrite,[status(thm)],[])).
% 5.28/4.15 tff(17251,plain,
% 5.28/4.15 (((~m_main_v_state2(s100, c_c2)) | (~always25(s100))) <=> ((~always25(s100)) | (~m_main_v_state2(s100, c_c2)))),
% 5.28/4.15 inference(rewrite,[status(thm)],[])).
% 5.28/4.15 tff(17252,plain,
% 5.28/4.15 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s100, c_c2)) | (~always25(s100)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s100)) | (~m_main_v_state2(s100, c_c2))))),
% 5.28/4.15 inference(monotonicity,[status(thm)],[17251])).
% 5.28/4.15 tff(17253,plain,
% 5.28/4.15 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s100, c_c2)) | (~always25(s100)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s100)) | (~m_main_v_state2(s100, c_c2)))),
% 5.28/4.15 inference(transitivity,[status(thm)],[17252, 17250])).
% 5.28/4.15 tff(17254,plain,
% 5.28/4.15 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s100, c_c2)) | (~always25(s100)))),
% 5.28/4.15 inference(quant_inst,[status(thm)],[])).
% 5.28/4.15 tff(17255,plain,
% 5.28/4.15 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s100)) | (~m_main_v_state2(s100, c_c2))),
% 5.31/4.15 inference(modus_ponens,[status(thm)],[17254, 17253])).
% 5.31/4.15 tff(17256,plain,
% 5.31/4.15 (~always25(s100)),
% 5.31/4.15 inference(unit_resolution,[status(thm)],[17255, 16468, 8297])).
% 5.31/4.15 tff(17257,plain,
% 5.31/4.15 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s99, s100)) | (~always25(s99)) | always25(s100))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s99, s100)) | (~always25(s99)) | always25(s100))),
% 5.31/4.15 inference(rewrite,[status(thm)],[])).
% 5.31/4.15 tff(17258,plain,
% 5.31/4.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s99, s100)) | (~always25(s99)) | always25(s100))),
% 5.31/4.15 inference(quant_inst,[status(thm)],[])).
% 5.31/4.15 tff(17259,plain,
% 5.31/4.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s99, s100)) | (~always25(s99)) | always25(s100)),
% 5.31/4.15 inference(modus_ponens,[status(thm)],[17258, 17257])).
% 5.31/4.15 tff(17260,plain,
% 5.31/4.15 ((~always25(s99)) | always25(s100)),
% 5.31/4.15 inference(unit_resolution,[status(thm)],[17259, 16485, 8288])).
% 5.31/4.15 tff(17261,plain,
% 5.31/4.15 (~always25(s99)),
% 5.31/4.15 inference(unit_resolution,[status(thm)],[17260, 17256])).
% 5.31/4.15 tff(17262,plain,
% 5.31/4.15 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s99) | (~node26(s99)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s99) | (~node26(s99)))),
% 5.31/4.15 inference(rewrite,[status(thm)],[])).
% 5.31/4.15 tff(17263,plain,
% 5.31/4.15 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s99) | (~node26(s99)))),
% 5.31/4.15 inference(quant_inst,[status(thm)],[])).
% 5.31/4.15 tff(17264,plain,
% 5.31/4.15 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s99) | (~node26(s99))),
% 5.31/4.15 inference(modus_ponens,[status(thm)],[17263, 17262])).
% 5.31/4.15 tff(17265,plain,
% 5.31/4.15 (~node26(s99)),
% 5.31/4.15 inference(unit_resolution,[status(thm)],[17264, 16500, 17261])).
% 5.31/4.15 tff(17266,plain,
% 5.31/4.15 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s98, s99)) | (~always25(s98)) | always25(s99))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s98, s99)) | (~always25(s98)) | always25(s99))),
% 5.31/4.15 inference(rewrite,[status(thm)],[])).
% 5.31/4.15 tff(17267,plain,
% 5.31/4.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s98, s99)) | (~always25(s98)) | always25(s99))),
% 5.31/4.15 inference(quant_inst,[status(thm)],[])).
% 5.31/4.15 tff(17268,plain,
% 5.31/4.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s98, s99)) | (~always25(s98)) | always25(s99)),
% 5.31/4.15 inference(modus_ponens,[status(thm)],[17267, 17266])).
% 5.31/4.15 tff(17269,plain,
% 5.31/4.15 ((~always25(s98)) | always25(s99)),
% 5.31/4.15 inference(unit_resolution,[status(thm)],[17268, 16485, 8210])).
% 5.31/4.15 tff(17270,plain,
% 5.31/4.15 (~always25(s98)),
% 5.31/4.15 inference(unit_resolution,[status(thm)],[17269, 17261])).
% 5.31/4.15 tff(17271,plain,
% 5.31/4.15 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s98) | (~node26(s98)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s98) | (~node26(s98)))),
% 5.31/4.15 inference(rewrite,[status(thm)],[])).
% 5.31/4.15 tff(17272,plain,
% 5.31/4.15 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s98) | (~node26(s98)))),
% 5.31/4.15 inference(quant_inst,[status(thm)],[])).
% 5.31/4.15 tff(17273,plain,
% 5.31/4.15 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s98) | (~node26(s98))),
% 5.31/4.15 inference(modus_ponens,[status(thm)],[17272, 17271])).
% 5.31/4.15 tff(17274,plain,
% 5.31/4.15 (~node26(s98)),
% 5.31/4.15 inference(unit_resolution,[status(thm)],[17273, 16500, 17270])).
% 5.31/4.15 tff(17275,plain,
% 5.31/4.15 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s97, c_t2) | (~node26(s97)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s97, c_t2) | (~node26(s97)))),
% 5.31/4.15 inference(rewrite,[status(thm)],[])).
% 5.31/4.15 tff(17276,plain,
% 5.31/4.15 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s97, c_t2) | (~node26(s97)))),
% 5.31/4.15 inference(quant_inst,[status(thm)],[])).
% 5.31/4.15 tff(17277,plain,
% 5.31/4.15 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s97, c_t2) | (~node26(s97))),
% 5.31/4.15 inference(modus_ponens,[status(thm)],[17276, 17275])).
% 5.31/4.15 tff(17278,plain,
% 5.31/4.15 (~node26(s97)),
% 5.31/4.15 inference(unit_resolution,[status(thm)],[17277, 16520, 8100])).
% 5.31/4.15 tff(17279,plain,
% 5.31/4.15 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s96)) | (~m_main_v_state2(s96, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s96)) | (~m_main_v_state2(s96, c_c2)))),
% 5.31/4.15 inference(rewrite,[status(thm)],[])).
% 5.31/4.15 tff(17280,plain,
% 5.31/4.15 (((~m_main_v_state2(s96, c_c2)) | (~always25(s96))) <=> ((~always25(s96)) | (~m_main_v_state2(s96, c_c2)))),
% 5.31/4.15 inference(rewrite,[status(thm)],[])).
% 5.31/4.15 tff(17281,plain,
% 5.31/4.15 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s96, c_c2)) | (~always25(s96)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s96)) | (~m_main_v_state2(s96, c_c2))))),
% 5.31/4.15 inference(monotonicity,[status(thm)],[17280])).
% 5.31/4.15 tff(17282,plain,
% 5.31/4.15 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s96, c_c2)) | (~always25(s96)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s96)) | (~m_main_v_state2(s96, c_c2)))),
% 5.31/4.15 inference(transitivity,[status(thm)],[17281, 17279])).
% 5.31/4.15 tff(17283,plain,
% 5.31/4.15 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s96, c_c2)) | (~always25(s96)))),
% 5.31/4.15 inference(quant_inst,[status(thm)],[])).
% 5.31/4.15 tff(17284,plain,
% 5.31/4.15 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s96)) | (~m_main_v_state2(s96, c_c2))),
% 5.31/4.15 inference(modus_ponens,[status(thm)],[17283, 17282])).
% 5.31/4.15 tff(17285,plain,
% 5.31/4.15 (~always25(s96)),
% 5.31/4.15 inference(unit_resolution,[status(thm)],[17284, 16468, 8029])).
% 5.31/4.15 tff(17286,plain,
% 5.31/4.15 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s95, s96)) | (~always25(s95)) | always25(s96))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s95, s96)) | (~always25(s95)) | always25(s96))),
% 5.31/4.15 inference(rewrite,[status(thm)],[])).
% 5.31/4.15 tff(17287,plain,
% 5.31/4.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s95, s96)) | (~always25(s95)) | always25(s96))),
% 5.31/4.15 inference(quant_inst,[status(thm)],[])).
% 5.31/4.15 tff(17288,plain,
% 5.31/4.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s95, s96)) | (~always25(s95)) | always25(s96)),
% 5.31/4.15 inference(modus_ponens,[status(thm)],[17287, 17286])).
% 5.31/4.15 tff(17289,plain,
% 5.31/4.15 ((~always25(s95)) | always25(s96)),
% 5.31/4.15 inference(unit_resolution,[status(thm)],[17288, 16485, 7955])).
% 5.31/4.15 tff(17290,plain,
% 5.31/4.15 (~always25(s95)),
% 5.31/4.15 inference(unit_resolution,[status(thm)],[17289, 17285])).
% 5.31/4.15 tff(17291,plain,
% 5.31/4.15 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s95) | (~node26(s95)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s95) | (~node26(s95)))),
% 5.31/4.15 inference(rewrite,[status(thm)],[])).
% 5.31/4.15 tff(17292,plain,
% 5.31/4.15 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s95) | (~node26(s95)))),
% 5.31/4.15 inference(quant_inst,[status(thm)],[])).
% 5.31/4.15 tff(17293,plain,
% 5.31/4.15 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s95) | (~node26(s95))),
% 5.31/4.15 inference(modus_ponens,[status(thm)],[17292, 17291])).
% 5.31/4.15 tff(17294,plain,
% 5.31/4.15 (~node26(s95)),
% 5.31/4.15 inference(unit_resolution,[status(thm)],[17293, 16500, 17290])).
% 5.31/4.15 tff(17295,plain,
% 5.31/4.15 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s94, s95)) | (~always25(s94)) | always25(s95))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s94, s95)) | (~always25(s94)) | always25(s95))),
% 5.31/4.15 inference(rewrite,[status(thm)],[])).
% 5.31/4.15 tff(17296,plain,
% 5.31/4.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s94, s95)) | (~always25(s94)) | always25(s95))),
% 5.31/4.15 inference(quant_inst,[status(thm)],[])).
% 5.31/4.15 tff(17297,plain,
% 5.31/4.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s94, s95)) | (~always25(s94)) | always25(s95)),
% 5.31/4.15 inference(modus_ponens,[status(thm)],[17296, 17295])).
% 5.31/4.15 tff(17298,plain,
% 5.31/4.15 ((~always25(s94)) | always25(s95)),
% 5.31/4.15 inference(unit_resolution,[status(thm)],[17297, 16485, 7880])).
% 5.31/4.16 tff(17299,plain,
% 5.31/4.16 (~always25(s94)),
% 5.31/4.16 inference(unit_resolution,[status(thm)],[17298, 17290])).
% 5.31/4.16 tff(17300,plain,
% 5.31/4.16 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s94) | (~node26(s94)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s94) | (~node26(s94)))),
% 5.31/4.16 inference(rewrite,[status(thm)],[])).
% 5.31/4.16 tff(17301,plain,
% 5.31/4.16 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s94) | (~node26(s94)))),
% 5.31/4.16 inference(quant_inst,[status(thm)],[])).
% 5.31/4.16 tff(17302,plain,
% 5.31/4.16 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s94) | (~node26(s94))),
% 5.31/4.16 inference(modus_ponens,[status(thm)],[17301, 17300])).
% 5.31/4.16 tff(17303,plain,
% 5.31/4.16 (~node26(s94)),
% 5.31/4.16 inference(unit_resolution,[status(thm)],[17302, 16500, 17299])).
% 5.31/4.16 tff(17304,plain,
% 5.31/4.16 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s93, c_t2) | (~node26(s93)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s93, c_t2) | (~node26(s93)))),
% 5.31/4.16 inference(rewrite,[status(thm)],[])).
% 5.31/4.16 tff(17305,plain,
% 5.31/4.16 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s93, c_t2) | (~node26(s93)))),
% 5.31/4.16 inference(quant_inst,[status(thm)],[])).
% 5.31/4.16 tff(17306,plain,
% 5.31/4.16 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s93, c_t2) | (~node26(s93))),
% 5.31/4.16 inference(modus_ponens,[status(thm)],[17305, 17304])).
% 5.31/4.16 tff(17307,plain,
% 5.31/4.16 (~node26(s93)),
% 5.31/4.16 inference(unit_resolution,[status(thm)],[17306, 16520, 7805])).
% 5.31/4.16 tff(17308,plain,
% 5.31/4.16 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s92)) | (~m_main_v_state2(s92, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s92)) | (~m_main_v_state2(s92, c_c2)))),
% 5.31/4.16 inference(rewrite,[status(thm)],[])).
% 5.31/4.16 tff(17309,plain,
% 5.31/4.16 (((~m_main_v_state2(s92, c_c2)) | (~always25(s92))) <=> ((~always25(s92)) | (~m_main_v_state2(s92, c_c2)))),
% 5.31/4.16 inference(rewrite,[status(thm)],[])).
% 5.31/4.16 tff(17310,plain,
% 5.31/4.16 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s92, c_c2)) | (~always25(s92)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s92)) | (~m_main_v_state2(s92, c_c2))))),
% 5.31/4.16 inference(monotonicity,[status(thm)],[17309])).
% 5.31/4.16 tff(17311,plain,
% 5.31/4.16 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s92, c_c2)) | (~always25(s92)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s92)) | (~m_main_v_state2(s92, c_c2)))),
% 5.31/4.16 inference(transitivity,[status(thm)],[17310, 17308])).
% 5.31/4.16 tff(17312,plain,
% 5.31/4.16 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s92, c_c2)) | (~always25(s92)))),
% 5.31/4.16 inference(quant_inst,[status(thm)],[])).
% 5.31/4.16 tff(17313,plain,
% 5.31/4.16 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s92)) | (~m_main_v_state2(s92, c_c2))),
% 5.31/4.16 inference(modus_ponens,[status(thm)],[17312, 17311])).
% 5.31/4.16 tff(17314,plain,
% 5.31/4.16 (~always25(s92)),
% 5.31/4.16 inference(unit_resolution,[status(thm)],[17313, 16468, 7669])).
% 5.31/4.16 tff(17315,plain,
% 5.31/4.16 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s91, s92)) | (~always25(s91)) | always25(s92))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s91, s92)) | (~always25(s91)) | always25(s92))),
% 5.31/4.16 inference(rewrite,[status(thm)],[])).
% 5.31/4.16 tff(17316,plain,
% 5.31/4.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s91, s92)) | (~always25(s91)) | always25(s92))),
% 5.31/4.16 inference(quant_inst,[status(thm)],[])).
% 5.31/4.16 tff(17317,plain,
% 5.31/4.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s91, s92)) | (~always25(s91)) | always25(s92)),
% 5.31/4.16 inference(modus_ponens,[status(thm)],[17316, 17315])).
% 5.31/4.16 tff(17318,plain,
% 5.31/4.16 ((~always25(s91)) | always25(s92)),
% 5.31/4.16 inference(unit_resolution,[status(thm)],[17317, 16485, 7660])).
% 5.31/4.16 tff(17319,plain,
% 5.31/4.16 (~always25(s91)),
% 5.31/4.16 inference(unit_resolution,[status(thm)],[17318, 17314])).
% 5.31/4.16 tff(17320,plain,
% 5.31/4.16 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s91) | (~node26(s91)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s91) | (~node26(s91)))),
% 5.31/4.16 inference(rewrite,[status(thm)],[])).
% 5.31/4.16 tff(17321,plain,
% 5.31/4.16 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s91) | (~node26(s91)))),
% 5.31/4.16 inference(quant_inst,[status(thm)],[])).
% 5.31/4.16 tff(17322,plain,
% 5.31/4.16 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s91) | (~node26(s91))),
% 5.31/4.16 inference(modus_ponens,[status(thm)],[17321, 17320])).
% 5.31/4.16 tff(17323,plain,
% 5.31/4.16 (~node26(s91)),
% 5.31/4.16 inference(unit_resolution,[status(thm)],[17322, 16500, 17319])).
% 5.31/4.16 tff(17324,plain,
% 5.31/4.16 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s90, s91)) | (~always25(s90)) | always25(s91))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s90, s91)) | (~always25(s90)) | always25(s91))),
% 5.31/4.16 inference(rewrite,[status(thm)],[])).
% 5.31/4.16 tff(17325,plain,
% 5.31/4.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s90, s91)) | (~always25(s90)) | always25(s91))),
% 5.31/4.16 inference(quant_inst,[status(thm)],[])).
% 5.31/4.16 tff(17326,plain,
% 5.31/4.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s90, s91)) | (~always25(s90)) | always25(s91)),
% 5.31/4.16 inference(modus_ponens,[status(thm)],[17325, 17324])).
% 5.31/4.16 tff(17327,plain,
% 5.31/4.16 ((~always25(s90)) | always25(s91)),
% 5.31/4.16 inference(unit_resolution,[status(thm)],[17326, 16485, 7582])).
% 5.31/4.16 tff(17328,plain,
% 5.31/4.16 (~always25(s90)),
% 5.31/4.16 inference(unit_resolution,[status(thm)],[17327, 17319])).
% 5.31/4.16 tff(17329,plain,
% 5.31/4.16 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s90) | (~node26(s90)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s90) | (~node26(s90)))),
% 5.31/4.16 inference(rewrite,[status(thm)],[])).
% 5.31/4.16 tff(17330,plain,
% 5.31/4.16 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s90) | (~node26(s90)))),
% 5.31/4.16 inference(quant_inst,[status(thm)],[])).
% 5.31/4.16 tff(17331,plain,
% 5.31/4.16 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s90) | (~node26(s90))),
% 5.31/4.16 inference(modus_ponens,[status(thm)],[17330, 17329])).
% 5.31/4.16 tff(17332,plain,
% 5.31/4.16 (~node26(s90)),
% 5.31/4.16 inference(unit_resolution,[status(thm)],[17331, 16500, 17328])).
% 5.31/4.16 tff(17333,plain,
% 5.31/4.16 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s89, c_t2) | (~node26(s89)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s89, c_t2) | (~node26(s89)))),
% 5.31/4.16 inference(rewrite,[status(thm)],[])).
% 5.31/4.16 tff(17334,plain,
% 5.31/4.16 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s89, c_t2) | (~node26(s89)))),
% 5.31/4.16 inference(quant_inst,[status(thm)],[])).
% 5.31/4.16 tff(17335,plain,
% 5.31/4.16 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s89, c_t2) | (~node26(s89))),
% 5.31/4.16 inference(modus_ponens,[status(thm)],[17334, 17333])).
% 5.31/4.16 tff(17336,plain,
% 5.31/4.16 (~node26(s89)),
% 5.31/4.16 inference(unit_resolution,[status(thm)],[17335, 16520, 7472])).
% 5.31/4.16 tff(17337,plain,
% 5.31/4.16 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s88)) | (~m_main_v_state2(s88, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s88)) | (~m_main_v_state2(s88, c_c2)))),
% 5.31/4.16 inference(rewrite,[status(thm)],[])).
% 5.31/4.16 tff(17338,plain,
% 5.31/4.16 (((~m_main_v_state2(s88, c_c2)) | (~always25(s88))) <=> ((~always25(s88)) | (~m_main_v_state2(s88, c_c2)))),
% 5.31/4.16 inference(rewrite,[status(thm)],[])).
% 5.31/4.16 tff(17339,plain,
% 5.31/4.16 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s88, c_c2)) | (~always25(s88)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s88)) | (~m_main_v_state2(s88, c_c2))))),
% 5.31/4.16 inference(monotonicity,[status(thm)],[17338])).
% 5.31/4.16 tff(17340,plain,
% 5.31/4.16 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s88, c_c2)) | (~always25(s88)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s88)) | (~m_main_v_state2(s88, c_c2)))),
% 5.31/4.16 inference(transitivity,[status(thm)],[17339, 17337])).
% 5.31/4.16 tff(17341,plain,
% 5.31/4.16 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s88, c_c2)) | (~always25(s88)))),
% 5.31/4.16 inference(quant_inst,[status(thm)],[])).
% 5.31/4.16 tff(17342,plain,
% 5.31/4.16 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s88)) | (~m_main_v_state2(s88, c_c2))),
% 5.31/4.16 inference(modus_ponens,[status(thm)],[17341, 17340])).
% 5.31/4.16 tff(17343,plain,
% 5.31/4.16 (~always25(s88)),
% 5.31/4.16 inference(unit_resolution,[status(thm)],[17342, 16468, 7401])).
% 5.31/4.16 tff(17344,plain,
% 5.31/4.16 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s87, s88)) | (~always25(s87)) | always25(s88))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s87, s88)) | (~always25(s87)) | always25(s88))),
% 5.31/4.16 inference(rewrite,[status(thm)],[])).
% 5.31/4.16 tff(17345,plain,
% 5.31/4.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s87, s88)) | (~always25(s87)) | always25(s88))),
% 5.31/4.16 inference(quant_inst,[status(thm)],[])).
% 5.31/4.16 tff(17346,plain,
% 5.31/4.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s87, s88)) | (~always25(s87)) | always25(s88)),
% 5.31/4.16 inference(modus_ponens,[status(thm)],[17345, 17344])).
% 5.31/4.16 tff(17347,plain,
% 5.31/4.16 ((~always25(s87)) | always25(s88)),
% 5.31/4.16 inference(unit_resolution,[status(thm)],[17346, 16485, 7327])).
% 5.31/4.16 tff(17348,plain,
% 5.31/4.16 (~always25(s87)),
% 5.31/4.16 inference(unit_resolution,[status(thm)],[17347, 17343])).
% 5.31/4.16 tff(17349,plain,
% 5.31/4.16 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s87) | (~node26(s87)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s87) | (~node26(s87)))),
% 5.31/4.16 inference(rewrite,[status(thm)],[])).
% 5.31/4.16 tff(17350,plain,
% 5.31/4.16 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s87) | (~node26(s87)))),
% 5.31/4.16 inference(quant_inst,[status(thm)],[])).
% 5.31/4.16 tff(17351,plain,
% 5.31/4.16 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s87) | (~node26(s87))),
% 5.31/4.16 inference(modus_ponens,[status(thm)],[17350, 17349])).
% 5.31/4.16 tff(17352,plain,
% 5.31/4.16 (~node26(s87)),
% 5.31/4.16 inference(unit_resolution,[status(thm)],[17351, 16500, 17348])).
% 5.31/4.16 tff(17353,plain,
% 5.31/4.16 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s86, s87)) | (~always25(s86)) | always25(s87))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s86, s87)) | (~always25(s86)) | always25(s87))),
% 5.31/4.16 inference(rewrite,[status(thm)],[])).
% 5.31/4.16 tff(17354,plain,
% 5.31/4.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s86, s87)) | (~always25(s86)) | always25(s87))),
% 5.31/4.16 inference(quant_inst,[status(thm)],[])).
% 5.31/4.16 tff(17355,plain,
% 5.31/4.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s86, s87)) | (~always25(s86)) | always25(s87)),
% 5.31/4.16 inference(modus_ponens,[status(thm)],[17354, 17353])).
% 5.31/4.16 tff(17356,plain,
% 5.31/4.16 ((~always25(s86)) | always25(s87)),
% 5.31/4.16 inference(unit_resolution,[status(thm)],[17355, 16485, 7252])).
% 5.31/4.16 tff(17357,plain,
% 5.31/4.16 (~always25(s86)),
% 5.31/4.16 inference(unit_resolution,[status(thm)],[17356, 17348])).
% 5.31/4.16 tff(17358,plain,
% 5.31/4.16 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s86) | (~node26(s86)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s86) | (~node26(s86)))),
% 5.31/4.16 inference(rewrite,[status(thm)],[])).
% 5.31/4.16 tff(17359,plain,
% 5.31/4.16 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s86) | (~node26(s86)))),
% 5.31/4.16 inference(quant_inst,[status(thm)],[])).
% 5.31/4.16 tff(17360,plain,
% 5.31/4.16 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s86) | (~node26(s86))),
% 5.31/4.16 inference(modus_ponens,[status(thm)],[17359, 17358])).
% 5.31/4.16 tff(17361,plain,
% 5.31/4.16 (~node26(s86)),
% 5.31/4.16 inference(unit_resolution,[status(thm)],[17360, 16500, 17357])).
% 5.31/4.16 tff(17362,plain,
% 5.31/4.16 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s85, c_t2) | (~node26(s85)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s85, c_t2) | (~node26(s85)))),
% 5.31/4.16 inference(rewrite,[status(thm)],[])).
% 5.31/4.16 tff(17363,plain,
% 5.31/4.16 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s85, c_t2) | (~node26(s85)))),
% 5.31/4.16 inference(quant_inst,[status(thm)],[])).
% 5.31/4.16 tff(17364,plain,
% 5.31/4.16 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s85, c_t2) | (~node26(s85))),
% 5.31/4.16 inference(modus_ponens,[status(thm)],[17363, 17362])).
% 5.31/4.16 tff(17365,plain,
% 5.31/4.16 (~node26(s85)),
% 5.31/4.16 inference(unit_resolution,[status(thm)],[17364, 16520, 7177])).
% 5.31/4.16 tff(17366,plain,
% 5.31/4.16 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s84)) | (~m_main_v_state2(s84, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s84)) | (~m_main_v_state2(s84, c_c2)))),
% 5.31/4.16 inference(rewrite,[status(thm)],[])).
% 5.31/4.16 tff(17367,plain,
% 5.31/4.16 (((~m_main_v_state2(s84, c_c2)) | (~always25(s84))) <=> ((~always25(s84)) | (~m_main_v_state2(s84, c_c2)))),
% 5.31/4.16 inference(rewrite,[status(thm)],[])).
% 5.31/4.16 tff(17368,plain,
% 5.31/4.16 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s84, c_c2)) | (~always25(s84)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s84)) | (~m_main_v_state2(s84, c_c2))))),
% 5.31/4.16 inference(monotonicity,[status(thm)],[17367])).
% 5.31/4.16 tff(17369,plain,
% 5.31/4.16 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s84, c_c2)) | (~always25(s84)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s84)) | (~m_main_v_state2(s84, c_c2)))),
% 5.31/4.16 inference(transitivity,[status(thm)],[17368, 17366])).
% 5.31/4.16 tff(17370,plain,
% 5.31/4.16 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s84, c_c2)) | (~always25(s84)))),
% 5.31/4.16 inference(quant_inst,[status(thm)],[])).
% 5.31/4.16 tff(17371,plain,
% 5.31/4.16 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s84)) | (~m_main_v_state2(s84, c_c2))),
% 5.31/4.16 inference(modus_ponens,[status(thm)],[17370, 17369])).
% 5.31/4.16 tff(17372,plain,
% 5.31/4.16 (~always25(s84)),
% 5.31/4.16 inference(unit_resolution,[status(thm)],[17371, 16468, 7041])).
% 5.31/4.16 tff(17373,plain,
% 5.31/4.16 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s83, s84)) | (~always25(s83)) | always25(s84))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s83, s84)) | (~always25(s83)) | always25(s84))),
% 5.31/4.16 inference(rewrite,[status(thm)],[])).
% 5.31/4.16 tff(17374,plain,
% 5.31/4.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s83, s84)) | (~always25(s83)) | always25(s84))),
% 5.31/4.16 inference(quant_inst,[status(thm)],[])).
% 5.31/4.16 tff(17375,plain,
% 5.31/4.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s83, s84)) | (~always25(s83)) | always25(s84)),
% 5.31/4.16 inference(modus_ponens,[status(thm)],[17374, 17373])).
% 5.31/4.16 tff(17376,plain,
% 5.31/4.16 ((~always25(s83)) | always25(s84)),
% 5.31/4.16 inference(unit_resolution,[status(thm)],[17375, 16485, 7032])).
% 5.31/4.16 tff(17377,plain,
% 5.31/4.16 (~always25(s83)),
% 5.31/4.16 inference(unit_resolution,[status(thm)],[17376, 17372])).
% 5.31/4.16 tff(17378,plain,
% 5.31/4.16 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s83) | (~node26(s83)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s83) | (~node26(s83)))),
% 5.31/4.16 inference(rewrite,[status(thm)],[])).
% 5.31/4.16 tff(17379,plain,
% 5.31/4.16 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s83) | (~node26(s83)))),
% 5.31/4.16 inference(quant_inst,[status(thm)],[])).
% 5.31/4.16 tff(17380,plain,
% 5.31/4.16 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s83) | (~node26(s83))),
% 5.31/4.16 inference(modus_ponens,[status(thm)],[17379, 17378])).
% 5.31/4.16 tff(17381,plain,
% 5.31/4.16 (~node26(s83)),
% 5.31/4.16 inference(unit_resolution,[status(thm)],[17380, 16500, 17377])).
% 5.31/4.16 tff(17382,plain,
% 5.31/4.16 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s82, s83)) | (~always25(s82)) | always25(s83))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s82, s83)) | (~always25(s82)) | always25(s83))),
% 5.31/4.16 inference(rewrite,[status(thm)],[])).
% 5.31/4.16 tff(17383,plain,
% 5.31/4.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s82, s83)) | (~always25(s82)) | always25(s83))),
% 5.31/4.16 inference(quant_inst,[status(thm)],[])).
% 5.31/4.16 tff(17384,plain,
% 5.31/4.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s82, s83)) | (~always25(s82)) | always25(s83)),
% 5.31/4.16 inference(modus_ponens,[status(thm)],[17383, 17382])).
% 5.31/4.16 tff(17385,plain,
% 5.31/4.16 ((~always25(s82)) | always25(s83)),
% 5.31/4.16 inference(unit_resolution,[status(thm)],[17384, 16485, 6954])).
% 5.31/4.16 tff(17386,plain,
% 5.31/4.16 (~always25(s82)),
% 5.31/4.16 inference(unit_resolution,[status(thm)],[17385, 17377])).
% 5.31/4.16 tff(17387,plain,
% 5.31/4.16 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s82) | (~node26(s82)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s82) | (~node26(s82)))),
% 5.31/4.16 inference(rewrite,[status(thm)],[])).
% 5.31/4.16 tff(17388,plain,
% 5.31/4.16 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s82) | (~node26(s82)))),
% 5.31/4.16 inference(quant_inst,[status(thm)],[])).
% 5.31/4.16 tff(17389,plain,
% 5.31/4.16 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s82) | (~node26(s82))),
% 5.31/4.16 inference(modus_ponens,[status(thm)],[17388, 17387])).
% 5.31/4.16 tff(17390,plain,
% 5.31/4.16 (~node26(s82)),
% 5.31/4.16 inference(unit_resolution,[status(thm)],[17389, 16500, 17386])).
% 5.31/4.16 tff(17391,plain,
% 5.31/4.16 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s81, c_t2) | (~node26(s81)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s81, c_t2) | (~node26(s81)))),
% 5.31/4.16 inference(rewrite,[status(thm)],[])).
% 5.31/4.16 tff(17392,plain,
% 5.31/4.16 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s81, c_t2) | (~node26(s81)))),
% 5.31/4.16 inference(quant_inst,[status(thm)],[])).
% 5.31/4.16 tff(17393,plain,
% 5.31/4.16 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s81, c_t2) | (~node26(s81))),
% 5.31/4.16 inference(modus_ponens,[status(thm)],[17392, 17391])).
% 5.31/4.16 tff(17394,plain,
% 5.31/4.16 (~node26(s81)),
% 5.31/4.16 inference(unit_resolution,[status(thm)],[17393, 16520, 6844])).
% 5.31/4.16 tff(17395,plain,
% 5.31/4.16 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s80)) | (~m_main_v_state2(s80, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s80)) | (~m_main_v_state2(s80, c_c2)))),
% 5.31/4.16 inference(rewrite,[status(thm)],[])).
% 5.31/4.16 tff(17396,plain,
% 5.31/4.16 (((~m_main_v_state2(s80, c_c2)) | (~always25(s80))) <=> ((~always25(s80)) | (~m_main_v_state2(s80, c_c2)))),
% 5.31/4.16 inference(rewrite,[status(thm)],[])).
% 5.31/4.16 tff(17397,plain,
% 5.31/4.16 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s80, c_c2)) | (~always25(s80)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s80)) | (~m_main_v_state2(s80, c_c2))))),
% 5.31/4.16 inference(monotonicity,[status(thm)],[17396])).
% 5.31/4.16 tff(17398,plain,
% 5.31/4.16 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s80, c_c2)) | (~always25(s80)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s80)) | (~m_main_v_state2(s80, c_c2)))),
% 5.31/4.16 inference(transitivity,[status(thm)],[17397, 17395])).
% 5.31/4.16 tff(17399,plain,
% 5.31/4.16 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s80, c_c2)) | (~always25(s80)))),
% 5.31/4.16 inference(quant_inst,[status(thm)],[])).
% 5.31/4.16 tff(17400,plain,
% 5.31/4.16 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s80)) | (~m_main_v_state2(s80, c_c2))),
% 5.31/4.16 inference(modus_ponens,[status(thm)],[17399, 17398])).
% 5.31/4.16 tff(17401,plain,
% 5.31/4.16 (~always25(s80)),
% 5.31/4.16 inference(unit_resolution,[status(thm)],[17400, 16468, 6773])).
% 5.31/4.16 tff(17402,plain,
% 5.31/4.16 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s79, s80)) | (~always25(s79)) | always25(s80))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s79, s80)) | (~always25(s79)) | always25(s80))),
% 5.31/4.16 inference(rewrite,[status(thm)],[])).
% 5.31/4.16 tff(17403,plain,
% 5.31/4.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s79, s80)) | (~always25(s79)) | always25(s80))),
% 5.31/4.16 inference(quant_inst,[status(thm)],[])).
% 5.31/4.16 tff(17404,plain,
% 5.31/4.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s79, s80)) | (~always25(s79)) | always25(s80)),
% 5.31/4.16 inference(modus_ponens,[status(thm)],[17403, 17402])).
% 5.31/4.16 tff(17405,plain,
% 5.31/4.16 ((~always25(s79)) | always25(s80)),
% 5.31/4.16 inference(unit_resolution,[status(thm)],[17404, 16485, 6699])).
% 5.31/4.16 tff(17406,plain,
% 5.31/4.16 (~always25(s79)),
% 5.31/4.16 inference(unit_resolution,[status(thm)],[17405, 17401])).
% 5.31/4.16 tff(17407,plain,
% 5.31/4.16 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s79) | (~node26(s79)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s79) | (~node26(s79)))),
% 5.31/4.16 inference(rewrite,[status(thm)],[])).
% 5.31/4.16 tff(17408,plain,
% 5.31/4.16 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s79) | (~node26(s79)))),
% 5.31/4.16 inference(quant_inst,[status(thm)],[])).
% 5.31/4.16 tff(17409,plain,
% 5.31/4.16 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s79) | (~node26(s79))),
% 5.31/4.16 inference(modus_ponens,[status(thm)],[17408, 17407])).
% 5.31/4.16 tff(17410,plain,
% 5.31/4.16 (~node26(s79)),
% 5.31/4.16 inference(unit_resolution,[status(thm)],[17409, 16500, 17406])).
% 5.31/4.16 tff(17411,plain,
% 5.31/4.16 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s78, s79)) | (~always25(s78)) | always25(s79))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s78, s79)) | (~always25(s78)) | always25(s79))),
% 5.31/4.16 inference(rewrite,[status(thm)],[])).
% 5.31/4.16 tff(17412,plain,
% 5.31/4.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s78, s79)) | (~always25(s78)) | always25(s79))),
% 5.31/4.16 inference(quant_inst,[status(thm)],[])).
% 5.31/4.16 tff(17413,plain,
% 5.31/4.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s78, s79)) | (~always25(s78)) | always25(s79)),
% 5.31/4.16 inference(modus_ponens,[status(thm)],[17412, 17411])).
% 5.31/4.16 tff(17414,plain,
% 5.31/4.16 ((~always25(s78)) | always25(s79)),
% 5.31/4.16 inference(unit_resolution,[status(thm)],[17413, 16485, 6624])).
% 5.31/4.16 tff(17415,plain,
% 5.31/4.16 (~always25(s78)),
% 5.31/4.16 inference(unit_resolution,[status(thm)],[17414, 17406])).
% 5.31/4.16 tff(17416,plain,
% 5.31/4.16 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s78) | (~node26(s78)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s78) | (~node26(s78)))),
% 5.31/4.16 inference(rewrite,[status(thm)],[])).
% 5.31/4.16 tff(17417,plain,
% 5.31/4.16 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s78) | (~node26(s78)))),
% 5.31/4.16 inference(quant_inst,[status(thm)],[])).
% 5.31/4.16 tff(17418,plain,
% 5.31/4.16 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s78) | (~node26(s78))),
% 5.31/4.16 inference(modus_ponens,[status(thm)],[17417, 17416])).
% 5.31/4.16 tff(17419,plain,
% 5.31/4.16 (~node26(s78)),
% 5.31/4.16 inference(unit_resolution,[status(thm)],[17418, 16500, 17415])).
% 5.31/4.16 tff(17420,plain,
% 5.31/4.16 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s77, c_t2) | (~node26(s77)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s77, c_t2) | (~node26(s77)))),
% 5.31/4.16 inference(rewrite,[status(thm)],[])).
% 5.31/4.16 tff(17421,plain,
% 5.31/4.16 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s77, c_t2) | (~node26(s77)))),
% 5.31/4.16 inference(quant_inst,[status(thm)],[])).
% 5.31/4.16 tff(17422,plain,
% 5.31/4.16 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s77, c_t2) | (~node26(s77))),
% 5.31/4.16 inference(modus_ponens,[status(thm)],[17421, 17420])).
% 5.31/4.16 tff(17423,plain,
% 5.31/4.16 (~node26(s77)),
% 5.31/4.16 inference(unit_resolution,[status(thm)],[17422, 16520, 6549])).
% 5.31/4.16 tff(17424,plain,
% 5.31/4.16 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s76)) | (~m_main_v_state2(s76, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s76)) | (~m_main_v_state2(s76, c_c2)))),
% 5.31/4.16 inference(rewrite,[status(thm)],[])).
% 5.31/4.16 tff(17425,plain,
% 5.31/4.16 (((~m_main_v_state2(s76, c_c2)) | (~always25(s76))) <=> ((~always25(s76)) | (~m_main_v_state2(s76, c_c2)))),
% 5.31/4.16 inference(rewrite,[status(thm)],[])).
% 5.31/4.16 tff(17426,plain,
% 5.31/4.16 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s76, c_c2)) | (~always25(s76)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s76)) | (~m_main_v_state2(s76, c_c2))))),
% 5.31/4.16 inference(monotonicity,[status(thm)],[17425])).
% 5.31/4.16 tff(17427,plain,
% 5.31/4.16 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s76, c_c2)) | (~always25(s76)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s76)) | (~m_main_v_state2(s76, c_c2)))),
% 5.31/4.16 inference(transitivity,[status(thm)],[17426, 17424])).
% 5.31/4.16 tff(17428,plain,
% 5.31/4.16 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s76, c_c2)) | (~always25(s76)))),
% 5.31/4.16 inference(quant_inst,[status(thm)],[])).
% 5.31/4.16 tff(17429,plain,
% 5.31/4.16 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s76)) | (~m_main_v_state2(s76, c_c2))),
% 5.31/4.16 inference(modus_ponens,[status(thm)],[17428, 17427])).
% 5.31/4.16 tff(17430,plain,
% 5.31/4.16 (~always25(s76)),
% 5.31/4.16 inference(unit_resolution,[status(thm)],[17429, 16468, 6413])).
% 5.31/4.16 tff(17431,plain,
% 5.31/4.16 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s75, s76)) | (~always25(s75)) | always25(s76))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s75, s76)) | (~always25(s75)) | always25(s76))),
% 5.31/4.16 inference(rewrite,[status(thm)],[])).
% 5.31/4.16 tff(17432,plain,
% 5.31/4.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s75, s76)) | (~always25(s75)) | always25(s76))),
% 5.31/4.16 inference(quant_inst,[status(thm)],[])).
% 5.31/4.16 tff(17433,plain,
% 5.31/4.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s75, s76)) | (~always25(s75)) | always25(s76)),
% 5.31/4.16 inference(modus_ponens,[status(thm)],[17432, 17431])).
% 5.31/4.16 tff(17434,plain,
% 5.31/4.16 ((~always25(s75)) | always25(s76)),
% 5.31/4.16 inference(unit_resolution,[status(thm)],[17433, 16485, 6404])).
% 5.31/4.16 tff(17435,plain,
% 5.31/4.16 (~always25(s75)),
% 5.31/4.16 inference(unit_resolution,[status(thm)],[17434, 17430])).
% 5.31/4.16 tff(17436,plain,
% 5.31/4.16 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s75) | (~node26(s75)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s75) | (~node26(s75)))),
% 5.31/4.16 inference(rewrite,[status(thm)],[])).
% 5.31/4.16 tff(17437,plain,
% 5.31/4.16 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s75) | (~node26(s75)))),
% 5.31/4.16 inference(quant_inst,[status(thm)],[])).
% 5.31/4.16 tff(17438,plain,
% 5.31/4.16 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s75) | (~node26(s75))),
% 5.31/4.16 inference(modus_ponens,[status(thm)],[17437, 17436])).
% 5.31/4.16 tff(17439,plain,
% 5.31/4.16 (~node26(s75)),
% 5.31/4.16 inference(unit_resolution,[status(thm)],[17438, 16500, 17435])).
% 5.31/4.16 tff(17440,plain,
% 5.31/4.16 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s74, s75)) | (~always25(s74)) | always25(s75))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s74, s75)) | (~always25(s74)) | always25(s75))),
% 5.31/4.16 inference(rewrite,[status(thm)],[])).
% 5.31/4.16 tff(17441,plain,
% 5.31/4.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s74, s75)) | (~always25(s74)) | always25(s75))),
% 5.31/4.16 inference(quant_inst,[status(thm)],[])).
% 5.31/4.16 tff(17442,plain,
% 5.31/4.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s74, s75)) | (~always25(s74)) | always25(s75)),
% 5.31/4.16 inference(modus_ponens,[status(thm)],[17441, 17440])).
% 5.31/4.16 tff(17443,plain,
% 5.31/4.16 ((~always25(s74)) | always25(s75)),
% 5.31/4.16 inference(unit_resolution,[status(thm)],[17442, 16485, 6326])).
% 5.31/4.16 tff(17444,plain,
% 5.31/4.16 (~always25(s74)),
% 5.31/4.16 inference(unit_resolution,[status(thm)],[17443, 17435])).
% 5.31/4.16 tff(17445,plain,
% 5.31/4.16 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s74) | (~node26(s74)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s74) | (~node26(s74)))),
% 5.31/4.16 inference(rewrite,[status(thm)],[])).
% 5.31/4.16 tff(17446,plain,
% 5.31/4.16 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s74) | (~node26(s74)))),
% 5.31/4.16 inference(quant_inst,[status(thm)],[])).
% 5.31/4.16 tff(17447,plain,
% 5.31/4.16 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s74) | (~node26(s74))),
% 5.31/4.16 inference(modus_ponens,[status(thm)],[17446, 17445])).
% 5.31/4.16 tff(17448,plain,
% 5.31/4.16 (~node26(s74)),
% 5.31/4.16 inference(unit_resolution,[status(thm)],[17447, 16500, 17444])).
% 5.31/4.16 tff(17449,plain,
% 5.31/4.16 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s73, c_t2) | (~node26(s73)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s73, c_t2) | (~node26(s73)))),
% 5.31/4.16 inference(rewrite,[status(thm)],[])).
% 5.31/4.16 tff(17450,plain,
% 5.31/4.16 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s73, c_t2) | (~node26(s73)))),
% 5.31/4.16 inference(quant_inst,[status(thm)],[])).
% 5.31/4.16 tff(17451,plain,
% 5.31/4.16 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s73, c_t2) | (~node26(s73))),
% 5.31/4.16 inference(modus_ponens,[status(thm)],[17450, 17449])).
% 5.31/4.16 tff(17452,plain,
% 5.31/4.16 (~node26(s73)),
% 5.31/4.16 inference(unit_resolution,[status(thm)],[17451, 16520, 6216])).
% 5.31/4.16 tff(17453,plain,
% 5.31/4.16 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s72)) | (~m_main_v_state2(s72, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s72)) | (~m_main_v_state2(s72, c_c2)))),
% 5.31/4.16 inference(rewrite,[status(thm)],[])).
% 5.31/4.16 tff(17454,plain,
% 5.31/4.16 (((~m_main_v_state2(s72, c_c2)) | (~always25(s72))) <=> ((~always25(s72)) | (~m_main_v_state2(s72, c_c2)))),
% 5.31/4.16 inference(rewrite,[status(thm)],[])).
% 5.31/4.16 tff(17455,plain,
% 5.31/4.16 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s72, c_c2)) | (~always25(s72)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s72)) | (~m_main_v_state2(s72, c_c2))))),
% 5.31/4.16 inference(monotonicity,[status(thm)],[17454])).
% 5.31/4.16 tff(17456,plain,
% 5.31/4.16 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s72, c_c2)) | (~always25(s72)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s72)) | (~m_main_v_state2(s72, c_c2)))),
% 5.31/4.16 inference(transitivity,[status(thm)],[17455, 17453])).
% 5.31/4.16 tff(17457,plain,
% 5.31/4.16 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s72, c_c2)) | (~always25(s72)))),
% 5.31/4.16 inference(quant_inst,[status(thm)],[])).
% 5.31/4.16 tff(17458,plain,
% 5.31/4.16 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s72)) | (~m_main_v_state2(s72, c_c2))),
% 5.31/4.16 inference(modus_ponens,[status(thm)],[17457, 17456])).
% 5.31/4.16 tff(17459,plain,
% 5.31/4.16 (~always25(s72)),
% 5.31/4.16 inference(unit_resolution,[status(thm)],[17458, 16468, 6145])).
% 5.31/4.16 tff(17460,plain,
% 5.31/4.16 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s71, s72)) | (~always25(s71)) | always25(s72))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s71, s72)) | (~always25(s71)) | always25(s72))),
% 5.31/4.16 inference(rewrite,[status(thm)],[])).
% 5.31/4.16 tff(17461,plain,
% 5.31/4.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s71, s72)) | (~always25(s71)) | always25(s72))),
% 5.31/4.16 inference(quant_inst,[status(thm)],[])).
% 5.31/4.16 tff(17462,plain,
% 5.31/4.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s71, s72)) | (~always25(s71)) | always25(s72)),
% 5.31/4.16 inference(modus_ponens,[status(thm)],[17461, 17460])).
% 5.31/4.16 tff(17463,plain,
% 5.31/4.16 ((~always25(s71)) | always25(s72)),
% 5.31/4.16 inference(unit_resolution,[status(thm)],[17462, 16485, 6071])).
% 5.31/4.16 tff(17464,plain,
% 5.31/4.16 (~always25(s71)),
% 5.31/4.16 inference(unit_resolution,[status(thm)],[17463, 17459])).
% 5.31/4.16 tff(17465,plain,
% 5.31/4.16 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s71) | (~node26(s71)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s71) | (~node26(s71)))),
% 5.31/4.16 inference(rewrite,[status(thm)],[])).
% 5.31/4.16 tff(17466,plain,
% 5.31/4.16 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s71) | (~node26(s71)))),
% 5.31/4.16 inference(quant_inst,[status(thm)],[])).
% 5.31/4.16 tff(17467,plain,
% 5.31/4.16 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s71) | (~node26(s71))),
% 5.31/4.16 inference(modus_ponens,[status(thm)],[17466, 17465])).
% 5.31/4.16 tff(17468,plain,
% 5.31/4.16 (~node26(s71)),
% 5.31/4.16 inference(unit_resolution,[status(thm)],[17467, 16500, 17464])).
% 5.31/4.16 tff(17469,plain,
% 5.31/4.16 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s70, s71)) | (~always25(s70)) | always25(s71))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s70, s71)) | (~always25(s70)) | always25(s71))),
% 5.31/4.16 inference(rewrite,[status(thm)],[])).
% 5.31/4.16 tff(17470,plain,
% 5.31/4.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s70, s71)) | (~always25(s70)) | always25(s71))),
% 5.31/4.16 inference(quant_inst,[status(thm)],[])).
% 5.31/4.16 tff(17471,plain,
% 5.31/4.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s70, s71)) | (~always25(s70)) | always25(s71)),
% 5.31/4.16 inference(modus_ponens,[status(thm)],[17470, 17469])).
% 5.31/4.16 tff(17472,plain,
% 5.31/4.16 ((~always25(s70)) | always25(s71)),
% 5.31/4.16 inference(unit_resolution,[status(thm)],[17471, 16485, 5996])).
% 5.31/4.16 tff(17473,plain,
% 5.31/4.16 (~always25(s70)),
% 5.31/4.16 inference(unit_resolution,[status(thm)],[17472, 17464])).
% 5.31/4.16 tff(17474,plain,
% 5.31/4.16 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s70) | (~node26(s70)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s70) | (~node26(s70)))),
% 5.31/4.16 inference(rewrite,[status(thm)],[])).
% 5.31/4.16 tff(17475,plain,
% 5.31/4.16 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s70) | (~node26(s70)))),
% 5.31/4.16 inference(quant_inst,[status(thm)],[])).
% 5.31/4.16 tff(17476,plain,
% 5.31/4.16 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s70) | (~node26(s70))),
% 5.31/4.16 inference(modus_ponens,[status(thm)],[17475, 17474])).
% 5.31/4.16 tff(17477,plain,
% 5.31/4.16 (~node26(s70)),
% 5.31/4.16 inference(unit_resolution,[status(thm)],[17476, 16500, 17473])).
% 5.31/4.16 tff(17478,plain,
% 5.31/4.16 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s69, c_t2) | (~node26(s69)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s69, c_t2) | (~node26(s69)))),
% 5.31/4.16 inference(rewrite,[status(thm)],[])).
% 5.31/4.16 tff(17479,plain,
% 5.31/4.16 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s69, c_t2) | (~node26(s69)))),
% 5.31/4.16 inference(quant_inst,[status(thm)],[])).
% 5.31/4.16 tff(17480,plain,
% 5.31/4.16 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s69, c_t2) | (~node26(s69))),
% 5.31/4.16 inference(modus_ponens,[status(thm)],[17479, 17478])).
% 5.31/4.16 tff(17481,plain,
% 5.31/4.16 (~node26(s69)),
% 5.31/4.16 inference(unit_resolution,[status(thm)],[17480, 16520, 5921])).
% 5.31/4.16 tff(17482,plain,
% 5.31/4.16 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s68)) | (~m_main_v_state2(s68, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s68)) | (~m_main_v_state2(s68, c_c2)))),
% 5.31/4.16 inference(rewrite,[status(thm)],[])).
% 5.31/4.16 tff(17483,plain,
% 5.31/4.16 (((~m_main_v_state2(s68, c_c2)) | (~always25(s68))) <=> ((~always25(s68)) | (~m_main_v_state2(s68, c_c2)))),
% 5.31/4.16 inference(rewrite,[status(thm)],[])).
% 5.31/4.16 tff(17484,plain,
% 5.31/4.16 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s68, c_c2)) | (~always25(s68)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s68)) | (~m_main_v_state2(s68, c_c2))))),
% 5.31/4.16 inference(monotonicity,[status(thm)],[17483])).
% 5.31/4.16 tff(17485,plain,
% 5.31/4.16 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s68, c_c2)) | (~always25(s68)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s68)) | (~m_main_v_state2(s68, c_c2)))),
% 5.31/4.16 inference(transitivity,[status(thm)],[17484, 17482])).
% 5.31/4.16 tff(17486,plain,
% 5.31/4.16 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s68, c_c2)) | (~always25(s68)))),
% 5.31/4.17 inference(quant_inst,[status(thm)],[])).
% 5.31/4.17 tff(17487,plain,
% 5.31/4.17 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s68)) | (~m_main_v_state2(s68, c_c2))),
% 5.31/4.17 inference(modus_ponens,[status(thm)],[17486, 17485])).
% 5.31/4.17 tff(17488,plain,
% 5.31/4.17 (~always25(s68)),
% 5.31/4.17 inference(unit_resolution,[status(thm)],[17487, 16468, 5785])).
% 5.31/4.17 tff(17489,plain,
% 5.31/4.17 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s67, s68)) | (~always25(s67)) | always25(s68))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s67, s68)) | (~always25(s67)) | always25(s68))),
% 5.31/4.17 inference(rewrite,[status(thm)],[])).
% 5.31/4.17 tff(17490,plain,
% 5.31/4.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s67, s68)) | (~always25(s67)) | always25(s68))),
% 5.31/4.17 inference(quant_inst,[status(thm)],[])).
% 5.31/4.17 tff(17491,plain,
% 5.31/4.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s67, s68)) | (~always25(s67)) | always25(s68)),
% 5.31/4.17 inference(modus_ponens,[status(thm)],[17490, 17489])).
% 5.31/4.17 tff(17492,plain,
% 5.31/4.17 ((~always25(s67)) | always25(s68)),
% 5.31/4.17 inference(unit_resolution,[status(thm)],[17491, 16485, 5776])).
% 5.31/4.17 tff(17493,plain,
% 5.31/4.17 (~always25(s67)),
% 5.31/4.17 inference(unit_resolution,[status(thm)],[17492, 17488])).
% 5.31/4.17 tff(17494,plain,
% 5.31/4.17 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s67) | (~node26(s67)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s67) | (~node26(s67)))),
% 5.31/4.17 inference(rewrite,[status(thm)],[])).
% 5.31/4.17 tff(17495,plain,
% 5.31/4.17 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s67) | (~node26(s67)))),
% 5.31/4.17 inference(quant_inst,[status(thm)],[])).
% 5.31/4.17 tff(17496,plain,
% 5.31/4.17 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s67) | (~node26(s67))),
% 5.31/4.17 inference(modus_ponens,[status(thm)],[17495, 17494])).
% 5.31/4.17 tff(17497,plain,
% 5.31/4.17 (~node26(s67)),
% 5.31/4.17 inference(unit_resolution,[status(thm)],[17496, 16500, 17493])).
% 5.31/4.17 tff(17498,plain,
% 5.31/4.17 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s66, s67)) | (~always25(s66)) | always25(s67))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s66, s67)) | (~always25(s66)) | always25(s67))),
% 5.31/4.17 inference(rewrite,[status(thm)],[])).
% 5.31/4.17 tff(17499,plain,
% 5.31/4.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s66, s67)) | (~always25(s66)) | always25(s67))),
% 5.31/4.17 inference(quant_inst,[status(thm)],[])).
% 5.31/4.17 tff(17500,plain,
% 5.31/4.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s66, s67)) | (~always25(s66)) | always25(s67)),
% 5.31/4.17 inference(modus_ponens,[status(thm)],[17499, 17498])).
% 5.31/4.17 tff(17501,plain,
% 5.31/4.17 ((~always25(s66)) | always25(s67)),
% 5.31/4.17 inference(unit_resolution,[status(thm)],[17500, 16485, 5698])).
% 5.31/4.17 tff(17502,plain,
% 5.31/4.17 (~always25(s66)),
% 5.31/4.17 inference(unit_resolution,[status(thm)],[17501, 17493])).
% 5.31/4.17 tff(17503,plain,
% 5.31/4.17 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s66) | (~node26(s66)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s66) | (~node26(s66)))),
% 5.31/4.17 inference(rewrite,[status(thm)],[])).
% 5.31/4.17 tff(17504,plain,
% 5.31/4.17 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s66) | (~node26(s66)))),
% 5.31/4.17 inference(quant_inst,[status(thm)],[])).
% 5.31/4.17 tff(17505,plain,
% 5.31/4.17 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s66) | (~node26(s66))),
% 5.31/4.17 inference(modus_ponens,[status(thm)],[17504, 17503])).
% 5.31/4.17 tff(17506,plain,
% 5.31/4.17 (~node26(s66)),
% 5.31/4.17 inference(unit_resolution,[status(thm)],[17505, 16500, 17502])).
% 5.31/4.17 tff(17507,plain,
% 5.31/4.17 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s65, c_t2) | (~node26(s65)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s65, c_t2) | (~node26(s65)))),
% 5.31/4.17 inference(rewrite,[status(thm)],[])).
% 5.31/4.17 tff(17508,plain,
% 5.31/4.17 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s65, c_t2) | (~node26(s65)))),
% 5.31/4.17 inference(quant_inst,[status(thm)],[])).
% 5.31/4.17 tff(17509,plain,
% 5.31/4.17 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s65, c_t2) | (~node26(s65))),
% 5.31/4.17 inference(modus_ponens,[status(thm)],[17508, 17507])).
% 5.31/4.17 tff(17510,plain,
% 5.31/4.17 (~node26(s65)),
% 5.31/4.17 inference(unit_resolution,[status(thm)],[17509, 16520, 5588])).
% 5.31/4.17 tff(17511,plain,
% 5.31/4.17 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s64)) | (~m_main_v_state2(s64, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s64)) | (~m_main_v_state2(s64, c_c2)))),
% 5.31/4.17 inference(rewrite,[status(thm)],[])).
% 5.31/4.17 tff(17512,plain,
% 5.31/4.17 (((~m_main_v_state2(s64, c_c2)) | (~always25(s64))) <=> ((~always25(s64)) | (~m_main_v_state2(s64, c_c2)))),
% 5.31/4.17 inference(rewrite,[status(thm)],[])).
% 5.31/4.17 tff(17513,plain,
% 5.31/4.17 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s64, c_c2)) | (~always25(s64)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s64)) | (~m_main_v_state2(s64, c_c2))))),
% 5.31/4.17 inference(monotonicity,[status(thm)],[17512])).
% 5.31/4.17 tff(17514,plain,
% 5.31/4.17 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s64, c_c2)) | (~always25(s64)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s64)) | (~m_main_v_state2(s64, c_c2)))),
% 5.31/4.17 inference(transitivity,[status(thm)],[17513, 17511])).
% 5.31/4.17 tff(17515,plain,
% 5.31/4.17 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s64, c_c2)) | (~always25(s64)))),
% 5.31/4.17 inference(quant_inst,[status(thm)],[])).
% 5.31/4.17 tff(17516,plain,
% 5.31/4.17 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s64)) | (~m_main_v_state2(s64, c_c2))),
% 5.31/4.17 inference(modus_ponens,[status(thm)],[17515, 17514])).
% 5.31/4.17 tff(17517,plain,
% 5.31/4.17 (~always25(s64)),
% 5.31/4.17 inference(unit_resolution,[status(thm)],[17516, 16468, 5517])).
% 5.31/4.17 tff(17518,plain,
% 5.31/4.17 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s63, s64)) | (~always25(s63)) | always25(s64))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s63, s64)) | (~always25(s63)) | always25(s64))),
% 5.31/4.17 inference(rewrite,[status(thm)],[])).
% 5.31/4.17 tff(17519,plain,
% 5.31/4.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s63, s64)) | (~always25(s63)) | always25(s64))),
% 5.31/4.17 inference(quant_inst,[status(thm)],[])).
% 5.31/4.17 tff(17520,plain,
% 5.31/4.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s63, s64)) | (~always25(s63)) | always25(s64)),
% 5.31/4.17 inference(modus_ponens,[status(thm)],[17519, 17518])).
% 5.31/4.17 tff(17521,plain,
% 5.31/4.17 ((~always25(s63)) | always25(s64)),
% 5.31/4.17 inference(unit_resolution,[status(thm)],[17520, 16485, 5443])).
% 5.31/4.17 tff(17522,plain,
% 5.31/4.17 (~always25(s63)),
% 5.31/4.17 inference(unit_resolution,[status(thm)],[17521, 17517])).
% 5.31/4.17 tff(17523,plain,
% 5.31/4.17 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s63) | (~node26(s63)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s63) | (~node26(s63)))),
% 5.31/4.17 inference(rewrite,[status(thm)],[])).
% 5.31/4.17 tff(17524,plain,
% 5.31/4.17 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s63) | (~node26(s63)))),
% 5.31/4.17 inference(quant_inst,[status(thm)],[])).
% 5.31/4.17 tff(17525,plain,
% 5.31/4.17 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s63) | (~node26(s63))),
% 5.31/4.17 inference(modus_ponens,[status(thm)],[17524, 17523])).
% 5.31/4.17 tff(17526,plain,
% 5.31/4.17 (~node26(s63)),
% 5.31/4.17 inference(unit_resolution,[status(thm)],[17525, 16500, 17522])).
% 5.31/4.17 tff(17527,plain,
% 5.31/4.17 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s62, s63)) | (~always25(s62)) | always25(s63))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s62, s63)) | (~always25(s62)) | always25(s63))),
% 5.31/4.17 inference(rewrite,[status(thm)],[])).
% 5.31/4.17 tff(17528,plain,
% 5.31/4.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s62, s63)) | (~always25(s62)) | always25(s63))),
% 5.31/4.17 inference(quant_inst,[status(thm)],[])).
% 5.31/4.17 tff(17529,plain,
% 5.31/4.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s62, s63)) | (~always25(s62)) | always25(s63)),
% 5.31/4.17 inference(modus_ponens,[status(thm)],[17528, 17527])).
% 5.31/4.17 tff(17530,plain,
% 5.31/4.17 ((~always25(s62)) | always25(s63)),
% 5.31/4.17 inference(unit_resolution,[status(thm)],[17529, 16485, 5368])).
% 5.31/4.17 tff(17531,plain,
% 5.31/4.17 (~always25(s62)),
% 5.31/4.17 inference(unit_resolution,[status(thm)],[17530, 17522])).
% 5.31/4.17 tff(17532,plain,
% 5.31/4.17 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s62) | (~node26(s62)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s62) | (~node26(s62)))),
% 5.31/4.17 inference(rewrite,[status(thm)],[])).
% 5.31/4.17 tff(17533,plain,
% 5.31/4.17 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s62) | (~node26(s62)))),
% 5.31/4.17 inference(quant_inst,[status(thm)],[])).
% 5.31/4.17 tff(17534,plain,
% 5.31/4.17 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s62) | (~node26(s62))),
% 5.31/4.17 inference(modus_ponens,[status(thm)],[17533, 17532])).
% 5.31/4.17 tff(17535,plain,
% 5.31/4.17 (~node26(s62)),
% 5.31/4.17 inference(unit_resolution,[status(thm)],[17534, 16500, 17531])).
% 5.31/4.17 tff(17536,plain,
% 5.31/4.17 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s61, c_t2) | (~node26(s61)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s61, c_t2) | (~node26(s61)))),
% 5.31/4.17 inference(rewrite,[status(thm)],[])).
% 5.31/4.17 tff(17537,plain,
% 5.31/4.17 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s61, c_t2) | (~node26(s61)))),
% 5.31/4.17 inference(quant_inst,[status(thm)],[])).
% 5.31/4.17 tff(17538,plain,
% 5.31/4.17 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s61, c_t2) | (~node26(s61))),
% 5.31/4.17 inference(modus_ponens,[status(thm)],[17537, 17536])).
% 5.31/4.17 tff(17539,plain,
% 5.31/4.17 (~node26(s61)),
% 5.31/4.17 inference(unit_resolution,[status(thm)],[17538, 16520, 5293])).
% 5.31/4.17 tff(17540,plain,
% 5.31/4.17 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s60)) | (~m_main_v_state2(s60, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s60)) | (~m_main_v_state2(s60, c_c2)))),
% 5.31/4.17 inference(rewrite,[status(thm)],[])).
% 5.31/4.17 tff(17541,plain,
% 5.31/4.17 (((~m_main_v_state2(s60, c_c2)) | (~always25(s60))) <=> ((~always25(s60)) | (~m_main_v_state2(s60, c_c2)))),
% 5.31/4.17 inference(rewrite,[status(thm)],[])).
% 5.31/4.17 tff(17542,plain,
% 5.31/4.17 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s60, c_c2)) | (~always25(s60)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s60)) | (~m_main_v_state2(s60, c_c2))))),
% 5.31/4.17 inference(monotonicity,[status(thm)],[17541])).
% 5.31/4.17 tff(17543,plain,
% 5.31/4.17 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s60, c_c2)) | (~always25(s60)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s60)) | (~m_main_v_state2(s60, c_c2)))),
% 5.31/4.17 inference(transitivity,[status(thm)],[17542, 17540])).
% 5.31/4.17 tff(17544,plain,
% 5.31/4.17 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s60, c_c2)) | (~always25(s60)))),
% 5.31/4.17 inference(quant_inst,[status(thm)],[])).
% 5.31/4.17 tff(17545,plain,
% 5.31/4.17 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s60)) | (~m_main_v_state2(s60, c_c2))),
% 5.31/4.17 inference(modus_ponens,[status(thm)],[17544, 17543])).
% 5.31/4.17 tff(17546,plain,
% 5.31/4.17 (~always25(s60)),
% 5.31/4.17 inference(unit_resolution,[status(thm)],[17545, 16468, 5157])).
% 5.31/4.17 tff(17547,plain,
% 5.31/4.17 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s59, s60)) | (~always25(s59)) | always25(s60))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s59, s60)) | (~always25(s59)) | always25(s60))),
% 5.31/4.17 inference(rewrite,[status(thm)],[])).
% 5.31/4.17 tff(17548,plain,
% 5.31/4.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s59, s60)) | (~always25(s59)) | always25(s60))),
% 5.31/4.17 inference(quant_inst,[status(thm)],[])).
% 5.31/4.17 tff(17549,plain,
% 5.31/4.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s59, s60)) | (~always25(s59)) | always25(s60)),
% 5.31/4.17 inference(modus_ponens,[status(thm)],[17548, 17547])).
% 5.31/4.17 tff(17550,plain,
% 5.31/4.17 ((~always25(s59)) | always25(s60)),
% 5.31/4.17 inference(unit_resolution,[status(thm)],[17549, 16485, 5148])).
% 5.31/4.17 tff(17551,plain,
% 5.31/4.17 (~always25(s59)),
% 5.31/4.17 inference(unit_resolution,[status(thm)],[17550, 17546])).
% 5.31/4.17 tff(17552,plain,
% 5.31/4.17 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s59) | (~node26(s59)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s59) | (~node26(s59)))),
% 5.31/4.17 inference(rewrite,[status(thm)],[])).
% 5.31/4.17 tff(17553,plain,
% 5.31/4.17 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s59) | (~node26(s59)))),
% 5.31/4.17 inference(quant_inst,[status(thm)],[])).
% 5.31/4.17 tff(17554,plain,
% 5.31/4.17 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s59) | (~node26(s59))),
% 5.31/4.17 inference(modus_ponens,[status(thm)],[17553, 17552])).
% 5.31/4.17 tff(17555,plain,
% 5.31/4.17 (~node26(s59)),
% 5.31/4.17 inference(unit_resolution,[status(thm)],[17554, 16500, 17551])).
% 5.31/4.17 tff(17556,plain,
% 5.31/4.17 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s58, s59)) | (~always25(s58)) | always25(s59))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s58, s59)) | (~always25(s58)) | always25(s59))),
% 5.31/4.17 inference(rewrite,[status(thm)],[])).
% 5.31/4.17 tff(17557,plain,
% 5.31/4.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s58, s59)) | (~always25(s58)) | always25(s59))),
% 5.31/4.17 inference(quant_inst,[status(thm)],[])).
% 5.31/4.17 tff(17558,plain,
% 5.31/4.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s58, s59)) | (~always25(s58)) | always25(s59)),
% 5.31/4.17 inference(modus_ponens,[status(thm)],[17557, 17556])).
% 5.31/4.17 tff(17559,plain,
% 5.31/4.17 ((~always25(s58)) | always25(s59)),
% 5.31/4.17 inference(unit_resolution,[status(thm)],[17558, 16485, 5070])).
% 5.31/4.17 tff(17560,plain,
% 5.31/4.17 (~always25(s58)),
% 5.31/4.17 inference(unit_resolution,[status(thm)],[17559, 17551])).
% 5.31/4.17 tff(17561,plain,
% 5.31/4.17 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s58) | (~node26(s58)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s58) | (~node26(s58)))),
% 5.31/4.17 inference(rewrite,[status(thm)],[])).
% 5.31/4.17 tff(17562,plain,
% 5.31/4.17 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s58) | (~node26(s58)))),
% 5.31/4.17 inference(quant_inst,[status(thm)],[])).
% 5.31/4.17 tff(17563,plain,
% 5.31/4.17 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s58) | (~node26(s58))),
% 5.31/4.17 inference(modus_ponens,[status(thm)],[17562, 17561])).
% 5.31/4.17 tff(17564,plain,
% 5.31/4.17 (~node26(s58)),
% 5.31/4.17 inference(unit_resolution,[status(thm)],[17563, 16500, 17560])).
% 5.31/4.17 tff(17565,plain,
% 5.31/4.17 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s57, c_t2) | (~node26(s57)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s57, c_t2) | (~node26(s57)))),
% 5.31/4.17 inference(rewrite,[status(thm)],[])).
% 5.31/4.17 tff(17566,plain,
% 5.31/4.17 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s57, c_t2) | (~node26(s57)))),
% 5.31/4.17 inference(quant_inst,[status(thm)],[])).
% 5.31/4.17 tff(17567,plain,
% 5.31/4.17 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s57, c_t2) | (~node26(s57))),
% 5.31/4.17 inference(modus_ponens,[status(thm)],[17566, 17565])).
% 5.31/4.17 tff(17568,plain,
% 5.31/4.17 (~node26(s57)),
% 5.31/4.17 inference(unit_resolution,[status(thm)],[17567, 16520, 4960])).
% 5.31/4.17 tff(17569,plain,
% 5.31/4.17 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s56)) | (~m_main_v_state2(s56, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s56)) | (~m_main_v_state2(s56, c_c2)))),
% 5.31/4.17 inference(rewrite,[status(thm)],[])).
% 5.31/4.17 tff(17570,plain,
% 5.31/4.17 (((~m_main_v_state2(s56, c_c2)) | (~always25(s56))) <=> ((~always25(s56)) | (~m_main_v_state2(s56, c_c2)))),
% 5.31/4.17 inference(rewrite,[status(thm)],[])).
% 5.31/4.17 tff(17571,plain,
% 5.31/4.17 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s56, c_c2)) | (~always25(s56)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s56)) | (~m_main_v_state2(s56, c_c2))))),
% 5.31/4.17 inference(monotonicity,[status(thm)],[17570])).
% 5.31/4.17 tff(17572,plain,
% 5.31/4.17 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s56, c_c2)) | (~always25(s56)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s56)) | (~m_main_v_state2(s56, c_c2)))),
% 5.31/4.17 inference(transitivity,[status(thm)],[17571, 17569])).
% 5.31/4.17 tff(17573,plain,
% 5.31/4.17 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s56, c_c2)) | (~always25(s56)))),
% 5.31/4.17 inference(quant_inst,[status(thm)],[])).
% 5.31/4.17 tff(17574,plain,
% 5.31/4.17 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s56)) | (~m_main_v_state2(s56, c_c2))),
% 5.31/4.17 inference(modus_ponens,[status(thm)],[17573, 17572])).
% 5.31/4.17 tff(17575,plain,
% 5.31/4.17 (~always25(s56)),
% 5.31/4.17 inference(unit_resolution,[status(thm)],[17574, 16468, 4889])).
% 5.31/4.17 tff(17576,plain,
% 5.31/4.17 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s55, s56)) | (~always25(s55)) | always25(s56))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s55, s56)) | (~always25(s55)) | always25(s56))),
% 5.31/4.17 inference(rewrite,[status(thm)],[])).
% 5.31/4.17 tff(17577,plain,
% 5.31/4.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s55, s56)) | (~always25(s55)) | always25(s56))),
% 5.31/4.17 inference(quant_inst,[status(thm)],[])).
% 5.31/4.17 tff(17578,plain,
% 5.31/4.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s55, s56)) | (~always25(s55)) | always25(s56)),
% 5.31/4.17 inference(modus_ponens,[status(thm)],[17577, 17576])).
% 5.31/4.17 tff(17579,plain,
% 5.31/4.17 ((~always25(s55)) | always25(s56)),
% 5.31/4.17 inference(unit_resolution,[status(thm)],[17578, 16485, 4815])).
% 5.31/4.17 tff(17580,plain,
% 5.31/4.17 (~always25(s55)),
% 5.31/4.17 inference(unit_resolution,[status(thm)],[17579, 17575])).
% 5.31/4.17 tff(17581,plain,
% 5.31/4.17 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s55) | (~node26(s55)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s55) | (~node26(s55)))),
% 5.31/4.17 inference(rewrite,[status(thm)],[])).
% 5.31/4.17 tff(17582,plain,
% 5.31/4.17 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s55) | (~node26(s55)))),
% 5.31/4.17 inference(quant_inst,[status(thm)],[])).
% 5.31/4.17 tff(17583,plain,
% 5.31/4.17 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s55) | (~node26(s55))),
% 5.31/4.17 inference(modus_ponens,[status(thm)],[17582, 17581])).
% 5.31/4.17 tff(17584,plain,
% 5.31/4.17 (~node26(s55)),
% 5.31/4.17 inference(unit_resolution,[status(thm)],[17583, 16500, 17580])).
% 5.31/4.17 tff(17585,plain,
% 5.31/4.17 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s54, s55)) | (~always25(s54)) | always25(s55))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s54, s55)) | (~always25(s54)) | always25(s55))),
% 5.31/4.17 inference(rewrite,[status(thm)],[])).
% 5.31/4.17 tff(17586,plain,
% 5.31/4.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s54, s55)) | (~always25(s54)) | always25(s55))),
% 5.31/4.17 inference(quant_inst,[status(thm)],[])).
% 5.31/4.17 tff(17587,plain,
% 5.31/4.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s54, s55)) | (~always25(s54)) | always25(s55)),
% 5.31/4.17 inference(modus_ponens,[status(thm)],[17586, 17585])).
% 5.31/4.17 tff(17588,plain,
% 5.31/4.17 ((~always25(s54)) | always25(s55)),
% 5.31/4.17 inference(unit_resolution,[status(thm)],[17587, 16485, 4740])).
% 5.31/4.17 tff(17589,plain,
% 5.31/4.17 (~always25(s54)),
% 5.31/4.17 inference(unit_resolution,[status(thm)],[17588, 17580])).
% 5.31/4.17 tff(17590,plain,
% 5.31/4.17 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s54) | (~node26(s54)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s54) | (~node26(s54)))),
% 5.31/4.17 inference(rewrite,[status(thm)],[])).
% 5.31/4.17 tff(17591,plain,
% 5.31/4.17 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s54) | (~node26(s54)))),
% 5.31/4.17 inference(quant_inst,[status(thm)],[])).
% 5.31/4.17 tff(17592,plain,
% 5.31/4.17 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s54) | (~node26(s54))),
% 5.31/4.17 inference(modus_ponens,[status(thm)],[17591, 17590])).
% 5.31/4.17 tff(17593,plain,
% 5.31/4.17 (~node26(s54)),
% 5.31/4.17 inference(unit_resolution,[status(thm)],[17592, 16500, 17589])).
% 5.31/4.17 tff(17594,plain,
% 5.31/4.17 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s53, c_t2) | (~node26(s53)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s53, c_t2) | (~node26(s53)))),
% 5.31/4.17 inference(rewrite,[status(thm)],[])).
% 5.31/4.17 tff(17595,plain,
% 5.31/4.17 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s53, c_t2) | (~node26(s53)))),
% 5.31/4.17 inference(quant_inst,[status(thm)],[])).
% 5.31/4.17 tff(17596,plain,
% 5.31/4.17 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s53, c_t2) | (~node26(s53))),
% 5.31/4.17 inference(modus_ponens,[status(thm)],[17595, 17594])).
% 5.31/4.17 tff(17597,plain,
% 5.31/4.17 (~node26(s53)),
% 5.31/4.17 inference(unit_resolution,[status(thm)],[17596, 16520, 4665])).
% 5.31/4.17 tff(17598,plain,
% 5.31/4.17 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s52)) | (~m_main_v_state2(s52, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s52)) | (~m_main_v_state2(s52, c_c2)))),
% 5.31/4.17 inference(rewrite,[status(thm)],[])).
% 5.31/4.17 tff(17599,plain,
% 5.31/4.17 (((~m_main_v_state2(s52, c_c2)) | (~always25(s52))) <=> ((~always25(s52)) | (~m_main_v_state2(s52, c_c2)))),
% 5.31/4.17 inference(rewrite,[status(thm)],[])).
% 5.31/4.17 tff(17600,plain,
% 5.31/4.17 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s52, c_c2)) | (~always25(s52)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s52)) | (~m_main_v_state2(s52, c_c2))))),
% 5.31/4.17 inference(monotonicity,[status(thm)],[17599])).
% 5.31/4.17 tff(17601,plain,
% 5.31/4.17 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s52, c_c2)) | (~always25(s52)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s52)) | (~m_main_v_state2(s52, c_c2)))),
% 5.31/4.17 inference(transitivity,[status(thm)],[17600, 17598])).
% 5.31/4.17 tff(17602,plain,
% 5.31/4.17 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s52, c_c2)) | (~always25(s52)))),
% 5.31/4.17 inference(quant_inst,[status(thm)],[])).
% 5.31/4.17 tff(17603,plain,
% 5.31/4.17 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s52)) | (~m_main_v_state2(s52, c_c2))),
% 5.31/4.17 inference(modus_ponens,[status(thm)],[17602, 17601])).
% 5.31/4.17 tff(17604,plain,
% 5.31/4.17 (~always25(s52)),
% 5.31/4.17 inference(unit_resolution,[status(thm)],[17603, 16468, 4529])).
% 5.31/4.17 tff(17605,plain,
% 5.31/4.17 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s51, s52)) | (~always25(s51)) | always25(s52))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s51, s52)) | (~always25(s51)) | always25(s52))),
% 5.31/4.17 inference(rewrite,[status(thm)],[])).
% 5.31/4.17 tff(17606,plain,
% 5.31/4.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s51, s52)) | (~always25(s51)) | always25(s52))),
% 5.31/4.17 inference(quant_inst,[status(thm)],[])).
% 5.31/4.17 tff(17607,plain,
% 5.31/4.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s51, s52)) | (~always25(s51)) | always25(s52)),
% 5.31/4.17 inference(modus_ponens,[status(thm)],[17606, 17605])).
% 5.31/4.17 tff(17608,plain,
% 5.31/4.17 ((~always25(s51)) | always25(s52)),
% 5.31/4.17 inference(unit_resolution,[status(thm)],[17607, 16485, 4520])).
% 5.31/4.17 tff(17609,plain,
% 5.31/4.17 (~always25(s51)),
% 5.31/4.17 inference(unit_resolution,[status(thm)],[17608, 17604])).
% 5.31/4.17 tff(17610,plain,
% 5.31/4.17 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s51) | (~node26(s51)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s51) | (~node26(s51)))),
% 5.31/4.17 inference(rewrite,[status(thm)],[])).
% 5.31/4.17 tff(17611,plain,
% 5.31/4.17 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s51) | (~node26(s51)))),
% 5.31/4.17 inference(quant_inst,[status(thm)],[])).
% 5.31/4.17 tff(17612,plain,
% 5.31/4.17 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s51) | (~node26(s51))),
% 5.31/4.17 inference(modus_ponens,[status(thm)],[17611, 17610])).
% 5.31/4.17 tff(17613,plain,
% 5.31/4.17 (~node26(s51)),
% 5.31/4.17 inference(unit_resolution,[status(thm)],[17612, 16500, 17609])).
% 5.31/4.17 tff(17614,plain,
% 5.31/4.17 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s50, s51)) | (~always25(s50)) | always25(s51))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s50, s51)) | (~always25(s50)) | always25(s51))),
% 5.31/4.17 inference(rewrite,[status(thm)],[])).
% 5.31/4.17 tff(17615,plain,
% 5.31/4.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s50, s51)) | (~always25(s50)) | always25(s51))),
% 5.31/4.17 inference(quant_inst,[status(thm)],[])).
% 5.31/4.17 tff(17616,plain,
% 5.31/4.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s50, s51)) | (~always25(s50)) | always25(s51)),
% 5.31/4.17 inference(modus_ponens,[status(thm)],[17615, 17614])).
% 5.31/4.17 tff(17617,plain,
% 5.31/4.17 ((~always25(s50)) | always25(s51)),
% 5.31/4.17 inference(unit_resolution,[status(thm)],[17616, 16485, 4442])).
% 5.31/4.17 tff(17618,plain,
% 5.31/4.17 (~always25(s50)),
% 5.31/4.17 inference(unit_resolution,[status(thm)],[17617, 17609])).
% 5.31/4.17 tff(17619,plain,
% 5.31/4.17 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s50) | (~node26(s50)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s50) | (~node26(s50)))),
% 5.31/4.17 inference(rewrite,[status(thm)],[])).
% 5.31/4.17 tff(17620,plain,
% 5.31/4.17 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s50) | (~node26(s50)))),
% 5.31/4.17 inference(quant_inst,[status(thm)],[])).
% 5.31/4.17 tff(17621,plain,
% 5.31/4.17 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s50) | (~node26(s50))),
% 5.31/4.17 inference(modus_ponens,[status(thm)],[17620, 17619])).
% 5.31/4.17 tff(17622,plain,
% 5.31/4.17 (~node26(s50)),
% 5.31/4.17 inference(unit_resolution,[status(thm)],[17621, 16500, 17618])).
% 5.31/4.17 tff(17623,plain,
% 5.31/4.17 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s49, c_t2) | (~node26(s49)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s49, c_t2) | (~node26(s49)))),
% 5.31/4.17 inference(rewrite,[status(thm)],[])).
% 5.31/4.17 tff(17624,plain,
% 5.31/4.17 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s49, c_t2) | (~node26(s49)))),
% 5.31/4.17 inference(quant_inst,[status(thm)],[])).
% 5.31/4.17 tff(17625,plain,
% 5.31/4.17 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s49, c_t2) | (~node26(s49))),
% 5.31/4.17 inference(modus_ponens,[status(thm)],[17624, 17623])).
% 5.31/4.17 tff(17626,plain,
% 5.31/4.17 (~node26(s49)),
% 5.31/4.17 inference(unit_resolution,[status(thm)],[17625, 16520, 4332])).
% 5.31/4.17 tff(17627,plain,
% 5.31/4.17 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s48)) | (~m_main_v_state2(s48, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s48)) | (~m_main_v_state2(s48, c_c2)))),
% 5.31/4.17 inference(rewrite,[status(thm)],[])).
% 5.31/4.17 tff(17628,plain,
% 5.31/4.17 (((~m_main_v_state2(s48, c_c2)) | (~always25(s48))) <=> ((~always25(s48)) | (~m_main_v_state2(s48, c_c2)))),
% 5.31/4.17 inference(rewrite,[status(thm)],[])).
% 5.31/4.17 tff(17629,plain,
% 5.31/4.17 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s48, c_c2)) | (~always25(s48)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s48)) | (~m_main_v_state2(s48, c_c2))))),
% 5.31/4.17 inference(monotonicity,[status(thm)],[17628])).
% 5.31/4.17 tff(17630,plain,
% 5.31/4.17 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s48, c_c2)) | (~always25(s48)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s48)) | (~m_main_v_state2(s48, c_c2)))),
% 5.31/4.17 inference(transitivity,[status(thm)],[17629, 17627])).
% 5.31/4.17 tff(17631,plain,
% 5.31/4.17 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s48, c_c2)) | (~always25(s48)))),
% 5.31/4.17 inference(quant_inst,[status(thm)],[])).
% 5.31/4.17 tff(17632,plain,
% 5.31/4.17 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s48)) | (~m_main_v_state2(s48, c_c2))),
% 5.31/4.17 inference(modus_ponens,[status(thm)],[17631, 17630])).
% 5.31/4.17 tff(17633,plain,
% 5.31/4.17 (~always25(s48)),
% 5.31/4.17 inference(unit_resolution,[status(thm)],[17632, 16468, 4261])).
% 5.31/4.17 tff(17634,plain,
% 5.31/4.17 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s47, s48)) | (~always25(s47)) | always25(s48))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s47, s48)) | (~always25(s47)) | always25(s48))),
% 5.31/4.17 inference(rewrite,[status(thm)],[])).
% 5.31/4.17 tff(17635,plain,
% 5.31/4.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s47, s48)) | (~always25(s47)) | always25(s48))),
% 5.31/4.17 inference(quant_inst,[status(thm)],[])).
% 5.31/4.17 tff(17636,plain,
% 5.31/4.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s47, s48)) | (~always25(s47)) | always25(s48)),
% 5.31/4.17 inference(modus_ponens,[status(thm)],[17635, 17634])).
% 5.31/4.17 tff(17637,plain,
% 5.31/4.17 ((~always25(s47)) | always25(s48)),
% 5.31/4.17 inference(unit_resolution,[status(thm)],[17636, 16485, 4187])).
% 5.31/4.17 tff(17638,plain,
% 5.31/4.17 (~always25(s47)),
% 5.31/4.17 inference(unit_resolution,[status(thm)],[17637, 17633])).
% 5.31/4.17 tff(17639,plain,
% 5.31/4.17 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s47) | (~node26(s47)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s47) | (~node26(s47)))),
% 5.31/4.17 inference(rewrite,[status(thm)],[])).
% 5.31/4.17 tff(17640,plain,
% 5.31/4.17 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s47) | (~node26(s47)))),
% 5.31/4.17 inference(quant_inst,[status(thm)],[])).
% 5.31/4.17 tff(17641,plain,
% 5.31/4.17 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s47) | (~node26(s47))),
% 5.31/4.17 inference(modus_ponens,[status(thm)],[17640, 17639])).
% 5.31/4.17 tff(17642,plain,
% 5.31/4.17 (~node26(s47)),
% 5.31/4.17 inference(unit_resolution,[status(thm)],[17641, 16500, 17638])).
% 5.31/4.17 tff(17643,plain,
% 5.31/4.17 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s46, s47)) | (~always25(s46)) | always25(s47))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s46, s47)) | (~always25(s46)) | always25(s47))),
% 5.31/4.17 inference(rewrite,[status(thm)],[])).
% 5.31/4.17 tff(17644,plain,
% 5.31/4.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s46, s47)) | (~always25(s46)) | always25(s47))),
% 5.31/4.17 inference(quant_inst,[status(thm)],[])).
% 5.31/4.17 tff(17645,plain,
% 5.31/4.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s46, s47)) | (~always25(s46)) | always25(s47)),
% 5.31/4.17 inference(modus_ponens,[status(thm)],[17644, 17643])).
% 5.31/4.17 tff(17646,plain,
% 5.31/4.17 ((~always25(s46)) | always25(s47)),
% 5.31/4.17 inference(unit_resolution,[status(thm)],[17645, 16485, 4112])).
% 5.31/4.17 tff(17647,plain,
% 5.31/4.17 (~always25(s46)),
% 5.31/4.17 inference(unit_resolution,[status(thm)],[17646, 17638])).
% 5.31/4.17 tff(17648,plain,
% 5.31/4.17 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s46) | (~node26(s46)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s46) | (~node26(s46)))),
% 5.31/4.17 inference(rewrite,[status(thm)],[])).
% 5.31/4.17 tff(17649,plain,
% 5.31/4.17 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s46) | (~node26(s46)))),
% 5.31/4.17 inference(quant_inst,[status(thm)],[])).
% 5.31/4.17 tff(17650,plain,
% 5.31/4.17 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s46) | (~node26(s46))),
% 5.31/4.17 inference(modus_ponens,[status(thm)],[17649, 17648])).
% 5.31/4.17 tff(17651,plain,
% 5.31/4.17 (~node26(s46)),
% 5.31/4.17 inference(unit_resolution,[status(thm)],[17650, 16500, 17647])).
% 5.31/4.17 tff(17652,plain,
% 5.31/4.17 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s45, c_t2) | (~node26(s45)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s45, c_t2) | (~node26(s45)))),
% 5.31/4.17 inference(rewrite,[status(thm)],[])).
% 5.31/4.17 tff(17653,plain,
% 5.31/4.17 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s45, c_t2) | (~node26(s45)))),
% 5.31/4.17 inference(quant_inst,[status(thm)],[])).
% 5.31/4.17 tff(17654,plain,
% 5.31/4.17 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s45, c_t2) | (~node26(s45))),
% 5.31/4.17 inference(modus_ponens,[status(thm)],[17653, 17652])).
% 5.31/4.17 tff(17655,plain,
% 5.31/4.17 (~node26(s45)),
% 5.31/4.17 inference(unit_resolution,[status(thm)],[17654, 16520, 4037])).
% 5.31/4.17 tff(17656,plain,
% 5.31/4.17 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s44)) | (~m_main_v_state2(s44, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s44)) | (~m_main_v_state2(s44, c_c2)))),
% 5.31/4.17 inference(rewrite,[status(thm)],[])).
% 5.31/4.17 tff(17657,plain,
% 5.31/4.17 (((~m_main_v_state2(s44, c_c2)) | (~always25(s44))) <=> ((~always25(s44)) | (~m_main_v_state2(s44, c_c2)))),
% 5.31/4.17 inference(rewrite,[status(thm)],[])).
% 5.31/4.17 tff(17658,plain,
% 5.31/4.17 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s44, c_c2)) | (~always25(s44)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s44)) | (~m_main_v_state2(s44, c_c2))))),
% 5.31/4.17 inference(monotonicity,[status(thm)],[17657])).
% 5.31/4.17 tff(17659,plain,
% 5.31/4.17 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s44, c_c2)) | (~always25(s44)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s44)) | (~m_main_v_state2(s44, c_c2)))),
% 5.31/4.17 inference(transitivity,[status(thm)],[17658, 17656])).
% 5.31/4.17 tff(17660,plain,
% 5.31/4.17 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s44, c_c2)) | (~always25(s44)))),
% 5.31/4.17 inference(quant_inst,[status(thm)],[])).
% 5.31/4.17 tff(17661,plain,
% 5.31/4.17 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s44)) | (~m_main_v_state2(s44, c_c2))),
% 5.31/4.17 inference(modus_ponens,[status(thm)],[17660, 17659])).
% 5.31/4.17 tff(17662,plain,
% 5.31/4.17 (~always25(s44)),
% 5.31/4.17 inference(unit_resolution,[status(thm)],[17661, 16468, 3901])).
% 5.31/4.17 tff(17663,plain,
% 5.31/4.17 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s43, s44)) | (~always25(s43)) | always25(s44))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s43, s44)) | (~always25(s43)) | always25(s44))),
% 5.31/4.17 inference(rewrite,[status(thm)],[])).
% 5.31/4.18 tff(17664,plain,
% 5.31/4.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s43, s44)) | (~always25(s43)) | always25(s44))),
% 5.31/4.18 inference(quant_inst,[status(thm)],[])).
% 5.31/4.18 tff(17665,plain,
% 5.31/4.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s43, s44)) | (~always25(s43)) | always25(s44)),
% 5.31/4.18 inference(modus_ponens,[status(thm)],[17664, 17663])).
% 5.31/4.18 tff(17666,plain,
% 5.31/4.18 ((~always25(s43)) | always25(s44)),
% 5.31/4.18 inference(unit_resolution,[status(thm)],[17665, 16485, 3892])).
% 5.31/4.18 tff(17667,plain,
% 5.31/4.18 (~always25(s43)),
% 5.31/4.18 inference(unit_resolution,[status(thm)],[17666, 17662])).
% 5.31/4.18 tff(17668,plain,
% 5.31/4.18 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s43) | (~node26(s43)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s43) | (~node26(s43)))),
% 5.31/4.18 inference(rewrite,[status(thm)],[])).
% 5.31/4.18 tff(17669,plain,
% 5.31/4.18 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s43) | (~node26(s43)))),
% 5.31/4.18 inference(quant_inst,[status(thm)],[])).
% 5.31/4.18 tff(17670,plain,
% 5.31/4.18 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s43) | (~node26(s43))),
% 5.31/4.18 inference(modus_ponens,[status(thm)],[17669, 17668])).
% 5.31/4.18 tff(17671,plain,
% 5.31/4.18 (~node26(s43)),
% 5.31/4.18 inference(unit_resolution,[status(thm)],[17670, 16500, 17667])).
% 5.31/4.18 tff(17672,plain,
% 5.31/4.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s42, s43)) | (~always25(s42)) | always25(s43))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s42, s43)) | (~always25(s42)) | always25(s43))),
% 5.31/4.18 inference(rewrite,[status(thm)],[])).
% 5.31/4.18 tff(17673,plain,
% 5.31/4.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s42, s43)) | (~always25(s42)) | always25(s43))),
% 5.31/4.18 inference(quant_inst,[status(thm)],[])).
% 5.31/4.18 tff(17674,plain,
% 5.31/4.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s42, s43)) | (~always25(s42)) | always25(s43)),
% 5.31/4.18 inference(modus_ponens,[status(thm)],[17673, 17672])).
% 5.31/4.18 tff(17675,plain,
% 5.31/4.18 ((~always25(s42)) | always25(s43)),
% 5.31/4.18 inference(unit_resolution,[status(thm)],[17674, 16485, 3814])).
% 5.31/4.18 tff(17676,plain,
% 5.31/4.18 (~always25(s42)),
% 5.31/4.18 inference(unit_resolution,[status(thm)],[17675, 17667])).
% 5.31/4.18 tff(17677,plain,
% 5.31/4.18 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s42) | (~node26(s42)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s42) | (~node26(s42)))),
% 5.31/4.18 inference(rewrite,[status(thm)],[])).
% 5.31/4.18 tff(17678,plain,
% 5.31/4.18 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s42) | (~node26(s42)))),
% 5.31/4.18 inference(quant_inst,[status(thm)],[])).
% 5.31/4.18 tff(17679,plain,
% 5.31/4.18 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s42) | (~node26(s42))),
% 5.31/4.18 inference(modus_ponens,[status(thm)],[17678, 17677])).
% 5.31/4.18 tff(17680,plain,
% 5.31/4.18 (~node26(s42)),
% 5.31/4.18 inference(unit_resolution,[status(thm)],[17679, 16500, 17676])).
% 5.31/4.18 tff(17681,plain,
% 5.31/4.18 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s41, c_t2) | (~node26(s41)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s41, c_t2) | (~node26(s41)))),
% 5.31/4.18 inference(rewrite,[status(thm)],[])).
% 5.31/4.18 tff(17682,plain,
% 5.31/4.18 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s41, c_t2) | (~node26(s41)))),
% 5.31/4.18 inference(quant_inst,[status(thm)],[])).
% 5.31/4.18 tff(17683,plain,
% 5.31/4.18 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s41, c_t2) | (~node26(s41))),
% 5.31/4.18 inference(modus_ponens,[status(thm)],[17682, 17681])).
% 5.31/4.18 tff(17684,plain,
% 5.31/4.18 (~node26(s41)),
% 5.31/4.18 inference(unit_resolution,[status(thm)],[17683, 16520, 3704])).
% 5.31/4.18 tff(17685,plain,
% 5.31/4.18 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s40)) | (~m_main_v_state2(s40, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s40)) | (~m_main_v_state2(s40, c_c2)))),
% 5.31/4.18 inference(rewrite,[status(thm)],[])).
% 5.31/4.18 tff(17686,plain,
% 5.31/4.18 (((~m_main_v_state2(s40, c_c2)) | (~always25(s40))) <=> ((~always25(s40)) | (~m_main_v_state2(s40, c_c2)))),
% 5.31/4.18 inference(rewrite,[status(thm)],[])).
% 5.31/4.18 tff(17687,plain,
% 5.31/4.18 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s40, c_c2)) | (~always25(s40)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s40)) | (~m_main_v_state2(s40, c_c2))))),
% 5.31/4.18 inference(monotonicity,[status(thm)],[17686])).
% 5.31/4.18 tff(17688,plain,
% 5.31/4.18 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s40, c_c2)) | (~always25(s40)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s40)) | (~m_main_v_state2(s40, c_c2)))),
% 5.31/4.18 inference(transitivity,[status(thm)],[17687, 17685])).
% 5.31/4.18 tff(17689,plain,
% 5.31/4.18 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s40, c_c2)) | (~always25(s40)))),
% 5.31/4.18 inference(quant_inst,[status(thm)],[])).
% 5.31/4.18 tff(17690,plain,
% 5.31/4.18 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s40)) | (~m_main_v_state2(s40, c_c2))),
% 5.31/4.18 inference(modus_ponens,[status(thm)],[17689, 17688])).
% 5.31/4.18 tff(17691,plain,
% 5.31/4.18 (~always25(s40)),
% 5.31/4.18 inference(unit_resolution,[status(thm)],[17690, 16468, 3633])).
% 5.31/4.18 tff(17692,plain,
% 5.31/4.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s39, s40)) | (~always25(s39)) | always25(s40))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s39, s40)) | (~always25(s39)) | always25(s40))),
% 5.31/4.18 inference(rewrite,[status(thm)],[])).
% 5.31/4.18 tff(17693,plain,
% 5.31/4.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s39, s40)) | (~always25(s39)) | always25(s40))),
% 5.31/4.18 inference(quant_inst,[status(thm)],[])).
% 5.31/4.18 tff(17694,plain,
% 5.31/4.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s39, s40)) | (~always25(s39)) | always25(s40)),
% 5.31/4.18 inference(modus_ponens,[status(thm)],[17693, 17692])).
% 5.31/4.18 tff(17695,plain,
% 5.31/4.18 ((~always25(s39)) | always25(s40)),
% 5.31/4.18 inference(unit_resolution,[status(thm)],[17694, 16485, 3559])).
% 5.31/4.18 tff(17696,plain,
% 5.31/4.18 (~always25(s39)),
% 5.31/4.18 inference(unit_resolution,[status(thm)],[17695, 17691])).
% 5.31/4.18 tff(17697,plain,
% 5.31/4.18 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s39) | (~node26(s39)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s39) | (~node26(s39)))),
% 5.31/4.18 inference(rewrite,[status(thm)],[])).
% 5.31/4.18 tff(17698,plain,
% 5.31/4.18 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s39) | (~node26(s39)))),
% 5.31/4.18 inference(quant_inst,[status(thm)],[])).
% 5.31/4.18 tff(17699,plain,
% 5.31/4.18 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s39) | (~node26(s39))),
% 5.31/4.18 inference(modus_ponens,[status(thm)],[17698, 17697])).
% 5.31/4.18 tff(17700,plain,
% 5.31/4.18 (~node26(s39)),
% 5.31/4.18 inference(unit_resolution,[status(thm)],[17699, 16500, 17696])).
% 5.31/4.18 tff(17701,plain,
% 5.31/4.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s38, s39)) | (~always25(s38)) | always25(s39))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s38, s39)) | (~always25(s38)) | always25(s39))),
% 5.31/4.18 inference(rewrite,[status(thm)],[])).
% 5.31/4.18 tff(17702,plain,
% 5.31/4.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s38, s39)) | (~always25(s38)) | always25(s39))),
% 5.31/4.18 inference(quant_inst,[status(thm)],[])).
% 5.31/4.18 tff(17703,plain,
% 5.31/4.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s38, s39)) | (~always25(s38)) | always25(s39)),
% 5.31/4.18 inference(modus_ponens,[status(thm)],[17702, 17701])).
% 5.31/4.18 tff(17704,plain,
% 5.31/4.18 ((~always25(s38)) | always25(s39)),
% 5.31/4.18 inference(unit_resolution,[status(thm)],[17703, 16485, 3484])).
% 5.31/4.18 tff(17705,plain,
% 5.31/4.18 (~always25(s38)),
% 5.31/4.18 inference(unit_resolution,[status(thm)],[17704, 17696])).
% 5.31/4.18 tff(17706,plain,
% 5.31/4.18 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s38) | (~node26(s38)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s38) | (~node26(s38)))),
% 5.31/4.18 inference(rewrite,[status(thm)],[])).
% 5.31/4.18 tff(17707,plain,
% 5.31/4.18 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s38) | (~node26(s38)))),
% 5.31/4.18 inference(quant_inst,[status(thm)],[])).
% 5.31/4.18 tff(17708,plain,
% 5.31/4.18 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s38) | (~node26(s38))),
% 5.31/4.18 inference(modus_ponens,[status(thm)],[17707, 17706])).
% 5.31/4.18 tff(17709,plain,
% 5.31/4.18 (~node26(s38)),
% 5.31/4.18 inference(unit_resolution,[status(thm)],[17708, 16500, 17705])).
% 5.31/4.18 tff(17710,plain,
% 5.31/4.18 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s37, c_t2) | (~node26(s37)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s37, c_t2) | (~node26(s37)))),
% 5.31/4.18 inference(rewrite,[status(thm)],[])).
% 5.31/4.18 tff(17711,plain,
% 5.31/4.18 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s37, c_t2) | (~node26(s37)))),
% 5.31/4.18 inference(quant_inst,[status(thm)],[])).
% 5.31/4.18 tff(17712,plain,
% 5.31/4.18 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s37, c_t2) | (~node26(s37))),
% 5.31/4.18 inference(modus_ponens,[status(thm)],[17711, 17710])).
% 5.31/4.18 tff(17713,plain,
% 5.31/4.18 (~node26(s37)),
% 5.31/4.18 inference(unit_resolution,[status(thm)],[17712, 16520, 3409])).
% 5.31/4.18 tff(17714,plain,
% 5.31/4.18 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s36)) | (~m_main_v_state2(s36, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s36)) | (~m_main_v_state2(s36, c_c2)))),
% 5.31/4.18 inference(rewrite,[status(thm)],[])).
% 5.31/4.18 tff(17715,plain,
% 5.31/4.18 (((~m_main_v_state2(s36, c_c2)) | (~always25(s36))) <=> ((~always25(s36)) | (~m_main_v_state2(s36, c_c2)))),
% 5.31/4.18 inference(rewrite,[status(thm)],[])).
% 5.31/4.18 tff(17716,plain,
% 5.31/4.18 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s36, c_c2)) | (~always25(s36)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s36)) | (~m_main_v_state2(s36, c_c2))))),
% 5.31/4.18 inference(monotonicity,[status(thm)],[17715])).
% 5.31/4.18 tff(17717,plain,
% 5.31/4.18 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s36, c_c2)) | (~always25(s36)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s36)) | (~m_main_v_state2(s36, c_c2)))),
% 5.31/4.18 inference(transitivity,[status(thm)],[17716, 17714])).
% 5.31/4.18 tff(17718,plain,
% 5.31/4.18 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s36, c_c2)) | (~always25(s36)))),
% 5.31/4.18 inference(quant_inst,[status(thm)],[])).
% 5.31/4.18 tff(17719,plain,
% 5.31/4.18 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s36)) | (~m_main_v_state2(s36, c_c2))),
% 5.31/4.18 inference(modus_ponens,[status(thm)],[17718, 17717])).
% 5.31/4.18 tff(17720,plain,
% 5.31/4.18 (~always25(s36)),
% 5.31/4.18 inference(unit_resolution,[status(thm)],[17719, 16468, 3273])).
% 5.31/4.18 tff(17721,plain,
% 5.31/4.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s35, s36)) | (~always25(s35)) | always25(s36))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s35, s36)) | (~always25(s35)) | always25(s36))),
% 5.31/4.18 inference(rewrite,[status(thm)],[])).
% 5.31/4.18 tff(17722,plain,
% 5.31/4.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s35, s36)) | (~always25(s35)) | always25(s36))),
% 5.31/4.18 inference(quant_inst,[status(thm)],[])).
% 5.31/4.18 tff(17723,plain,
% 5.31/4.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s35, s36)) | (~always25(s35)) | always25(s36)),
% 5.31/4.18 inference(modus_ponens,[status(thm)],[17722, 17721])).
% 5.31/4.18 tff(17724,plain,
% 5.31/4.18 ((~always25(s35)) | always25(s36)),
% 5.31/4.18 inference(unit_resolution,[status(thm)],[17723, 16485, 3264])).
% 5.31/4.18 tff(17725,plain,
% 5.31/4.18 (~always25(s35)),
% 5.31/4.18 inference(unit_resolution,[status(thm)],[17724, 17720])).
% 5.31/4.18 tff(17726,plain,
% 5.31/4.18 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s35) | (~node26(s35)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s35) | (~node26(s35)))),
% 5.31/4.18 inference(rewrite,[status(thm)],[])).
% 5.31/4.18 tff(17727,plain,
% 5.31/4.18 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s35) | (~node26(s35)))),
% 5.31/4.18 inference(quant_inst,[status(thm)],[])).
% 5.31/4.18 tff(17728,plain,
% 5.31/4.18 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s35) | (~node26(s35))),
% 5.31/4.18 inference(modus_ponens,[status(thm)],[17727, 17726])).
% 5.31/4.18 tff(17729,plain,
% 5.31/4.18 (~node26(s35)),
% 5.31/4.18 inference(unit_resolution,[status(thm)],[17728, 16500, 17725])).
% 5.31/4.18 tff(17730,plain,
% 5.31/4.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s34, s35)) | (~always25(s34)) | always25(s35))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s34, s35)) | (~always25(s34)) | always25(s35))),
% 5.31/4.18 inference(rewrite,[status(thm)],[])).
% 5.31/4.18 tff(17731,plain,
% 5.31/4.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s34, s35)) | (~always25(s34)) | always25(s35))),
% 5.31/4.18 inference(quant_inst,[status(thm)],[])).
% 5.31/4.18 tff(17732,plain,
% 5.31/4.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s34, s35)) | (~always25(s34)) | always25(s35)),
% 5.31/4.18 inference(modus_ponens,[status(thm)],[17731, 17730])).
% 5.31/4.18 tff(17733,plain,
% 5.31/4.18 ((~always25(s34)) | always25(s35)),
% 5.31/4.18 inference(unit_resolution,[status(thm)],[17732, 16485, 3186])).
% 5.31/4.18 tff(17734,plain,
% 5.31/4.18 (~always25(s34)),
% 5.31/4.18 inference(unit_resolution,[status(thm)],[17733, 17725])).
% 5.31/4.18 tff(17735,plain,
% 5.31/4.18 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s34) | (~node26(s34)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s34) | (~node26(s34)))),
% 5.31/4.18 inference(rewrite,[status(thm)],[])).
% 5.31/4.18 tff(17736,plain,
% 5.31/4.18 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s34) | (~node26(s34)))),
% 5.31/4.18 inference(quant_inst,[status(thm)],[])).
% 5.31/4.18 tff(17737,plain,
% 5.31/4.18 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s34) | (~node26(s34))),
% 5.31/4.18 inference(modus_ponens,[status(thm)],[17736, 17735])).
% 5.31/4.18 tff(17738,plain,
% 5.31/4.18 (~node26(s34)),
% 5.31/4.18 inference(unit_resolution,[status(thm)],[17737, 16500, 17734])).
% 5.31/4.18 tff(17739,plain,
% 5.31/4.18 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s33, c_t2) | (~node26(s33)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s33, c_t2) | (~node26(s33)))),
% 5.31/4.18 inference(rewrite,[status(thm)],[])).
% 5.31/4.18 tff(17740,plain,
% 5.31/4.18 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s33, c_t2) | (~node26(s33)))),
% 5.31/4.18 inference(quant_inst,[status(thm)],[])).
% 5.31/4.18 tff(17741,plain,
% 5.31/4.18 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s33, c_t2) | (~node26(s33))),
% 5.31/4.18 inference(modus_ponens,[status(thm)],[17740, 17739])).
% 5.31/4.18 tff(17742,plain,
% 5.31/4.18 (~node26(s33)),
% 5.31/4.18 inference(unit_resolution,[status(thm)],[17741, 16520, 3076])).
% 5.31/4.18 tff(17743,plain,
% 5.31/4.18 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s32)) | (~m_main_v_state2(s32, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s32)) | (~m_main_v_state2(s32, c_c2)))),
% 5.31/4.18 inference(rewrite,[status(thm)],[])).
% 5.31/4.18 tff(17744,plain,
% 5.31/4.18 (((~m_main_v_state2(s32, c_c2)) | (~always25(s32))) <=> ((~always25(s32)) | (~m_main_v_state2(s32, c_c2)))),
% 5.31/4.18 inference(rewrite,[status(thm)],[])).
% 5.31/4.18 tff(17745,plain,
% 5.31/4.18 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s32, c_c2)) | (~always25(s32)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s32)) | (~m_main_v_state2(s32, c_c2))))),
% 5.31/4.18 inference(monotonicity,[status(thm)],[17744])).
% 5.31/4.18 tff(17746,plain,
% 5.31/4.18 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s32, c_c2)) | (~always25(s32)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s32)) | (~m_main_v_state2(s32, c_c2)))),
% 5.31/4.18 inference(transitivity,[status(thm)],[17745, 17743])).
% 5.31/4.18 tff(17747,plain,
% 5.31/4.18 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s32, c_c2)) | (~always25(s32)))),
% 5.31/4.18 inference(quant_inst,[status(thm)],[])).
% 5.31/4.18 tff(17748,plain,
% 5.31/4.18 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s32)) | (~m_main_v_state2(s32, c_c2))),
% 5.31/4.18 inference(modus_ponens,[status(thm)],[17747, 17746])).
% 5.31/4.18 tff(17749,plain,
% 5.31/4.18 (~always25(s32)),
% 5.31/4.18 inference(unit_resolution,[status(thm)],[17748, 16468, 3005])).
% 5.31/4.18 tff(17750,plain,
% 5.31/4.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s31, s32)) | (~always25(s31)) | always25(s32))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s31, s32)) | (~always25(s31)) | always25(s32))),
% 5.31/4.18 inference(rewrite,[status(thm)],[])).
% 5.31/4.18 tff(17751,plain,
% 5.31/4.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s31, s32)) | (~always25(s31)) | always25(s32))),
% 5.31/4.18 inference(quant_inst,[status(thm)],[])).
% 5.31/4.18 tff(17752,plain,
% 5.31/4.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s31, s32)) | (~always25(s31)) | always25(s32)),
% 5.31/4.18 inference(modus_ponens,[status(thm)],[17751, 17750])).
% 5.31/4.18 tff(17753,plain,
% 5.31/4.18 ((~always25(s31)) | always25(s32)),
% 5.31/4.18 inference(unit_resolution,[status(thm)],[17752, 16485, 2931])).
% 5.31/4.18 tff(17754,plain,
% 5.31/4.18 (~always25(s31)),
% 5.31/4.18 inference(unit_resolution,[status(thm)],[17753, 17749])).
% 5.31/4.18 tff(17755,plain,
% 5.31/4.18 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s31) | (~node26(s31)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s31) | (~node26(s31)))),
% 5.31/4.18 inference(rewrite,[status(thm)],[])).
% 5.31/4.18 tff(17756,plain,
% 5.31/4.18 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s31) | (~node26(s31)))),
% 5.31/4.18 inference(quant_inst,[status(thm)],[])).
% 5.31/4.18 tff(17757,plain,
% 5.31/4.18 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s31) | (~node26(s31))),
% 5.31/4.18 inference(modus_ponens,[status(thm)],[17756, 17755])).
% 5.31/4.18 tff(17758,plain,
% 5.31/4.18 (~node26(s31)),
% 5.31/4.18 inference(unit_resolution,[status(thm)],[17757, 16500, 17754])).
% 5.31/4.18 tff(17759,plain,
% 5.31/4.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s30, s31)) | (~always25(s30)) | always25(s31))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s30, s31)) | (~always25(s30)) | always25(s31))),
% 5.31/4.18 inference(rewrite,[status(thm)],[])).
% 5.31/4.18 tff(17760,plain,
% 5.31/4.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s30, s31)) | (~always25(s30)) | always25(s31))),
% 5.31/4.18 inference(quant_inst,[status(thm)],[])).
% 5.31/4.18 tff(17761,plain,
% 5.31/4.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s30, s31)) | (~always25(s30)) | always25(s31)),
% 5.31/4.18 inference(modus_ponens,[status(thm)],[17760, 17759])).
% 5.31/4.18 tff(17762,plain,
% 5.31/4.18 ((~always25(s30)) | always25(s31)),
% 5.31/4.18 inference(unit_resolution,[status(thm)],[17761, 16485, 2856])).
% 5.31/4.18 tff(17763,plain,
% 5.31/4.18 (~always25(s30)),
% 5.31/4.18 inference(unit_resolution,[status(thm)],[17762, 17754])).
% 5.31/4.18 tff(17764,plain,
% 5.31/4.18 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s30) | (~node26(s30)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s30) | (~node26(s30)))),
% 5.31/4.18 inference(rewrite,[status(thm)],[])).
% 5.31/4.18 tff(17765,plain,
% 5.31/4.18 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s30) | (~node26(s30)))),
% 5.31/4.18 inference(quant_inst,[status(thm)],[])).
% 5.31/4.18 tff(17766,plain,
% 5.31/4.18 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s30) | (~node26(s30))),
% 5.31/4.18 inference(modus_ponens,[status(thm)],[17765, 17764])).
% 5.31/4.18 tff(17767,plain,
% 5.31/4.18 (~node26(s30)),
% 5.31/4.18 inference(unit_resolution,[status(thm)],[17766, 16500, 17763])).
% 5.31/4.18 tff(17768,plain,
% 5.31/4.18 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s29, c_t2) | (~node26(s29)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s29, c_t2) | (~node26(s29)))),
% 5.31/4.18 inference(rewrite,[status(thm)],[])).
% 5.31/4.18 tff(17769,plain,
% 5.31/4.18 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s29, c_t2) | (~node26(s29)))),
% 5.31/4.18 inference(quant_inst,[status(thm)],[])).
% 5.31/4.18 tff(17770,plain,
% 5.31/4.18 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s29, c_t2) | (~node26(s29))),
% 5.31/4.18 inference(modus_ponens,[status(thm)],[17769, 17768])).
% 5.31/4.18 tff(17771,plain,
% 5.31/4.18 (~node26(s29)),
% 5.31/4.18 inference(unit_resolution,[status(thm)],[17770, 16520, 2781])).
% 5.31/4.18 tff(17772,plain,
% 5.31/4.18 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s28)) | (~m_main_v_state2(s28, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s28)) | (~m_main_v_state2(s28, c_c2)))),
% 5.31/4.18 inference(rewrite,[status(thm)],[])).
% 5.31/4.18 tff(17773,plain,
% 5.31/4.18 (((~m_main_v_state2(s28, c_c2)) | (~always25(s28))) <=> ((~always25(s28)) | (~m_main_v_state2(s28, c_c2)))),
% 5.31/4.18 inference(rewrite,[status(thm)],[])).
% 5.31/4.18 tff(17774,plain,
% 5.31/4.18 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s28, c_c2)) | (~always25(s28)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s28)) | (~m_main_v_state2(s28, c_c2))))),
% 5.31/4.18 inference(monotonicity,[status(thm)],[17773])).
% 5.31/4.18 tff(17775,plain,
% 5.31/4.18 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s28, c_c2)) | (~always25(s28)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s28)) | (~m_main_v_state2(s28, c_c2)))),
% 5.31/4.18 inference(transitivity,[status(thm)],[17774, 17772])).
% 5.31/4.18 tff(17776,plain,
% 5.31/4.18 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s28, c_c2)) | (~always25(s28)))),
% 5.31/4.18 inference(quant_inst,[status(thm)],[])).
% 5.31/4.18 tff(17777,plain,
% 5.31/4.18 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s28)) | (~m_main_v_state2(s28, c_c2))),
% 5.31/4.18 inference(modus_ponens,[status(thm)],[17776, 17775])).
% 5.31/4.18 tff(17778,plain,
% 5.31/4.18 (~always25(s28)),
% 5.31/4.18 inference(unit_resolution,[status(thm)],[17777, 16468, 2645])).
% 5.31/4.18 tff(17779,plain,
% 5.31/4.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s27, s28)) | (~always25(s27)) | always25(s28))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s27, s28)) | (~always25(s27)) | always25(s28))),
% 5.31/4.18 inference(rewrite,[status(thm)],[])).
% 5.31/4.18 tff(17780,plain,
% 5.31/4.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s27, s28)) | (~always25(s27)) | always25(s28))),
% 5.31/4.18 inference(quant_inst,[status(thm)],[])).
% 5.31/4.18 tff(17781,plain,
% 5.31/4.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s27, s28)) | (~always25(s27)) | always25(s28)),
% 5.31/4.18 inference(modus_ponens,[status(thm)],[17780, 17779])).
% 5.31/4.18 tff(17782,plain,
% 5.31/4.18 ((~always25(s27)) | always25(s28)),
% 5.31/4.18 inference(unit_resolution,[status(thm)],[17781, 16485, 2636])).
% 5.31/4.18 tff(17783,plain,
% 5.31/4.18 (~always25(s27)),
% 5.31/4.18 inference(unit_resolution,[status(thm)],[17782, 17778])).
% 5.31/4.18 tff(17784,plain,
% 5.31/4.18 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s27) | (~node26(s27)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s27) | (~node26(s27)))),
% 5.31/4.18 inference(rewrite,[status(thm)],[])).
% 5.31/4.18 tff(17785,plain,
% 5.31/4.18 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s27) | (~node26(s27)))),
% 5.31/4.18 inference(quant_inst,[status(thm)],[])).
% 5.31/4.18 tff(17786,plain,
% 5.31/4.18 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s27) | (~node26(s27))),
% 5.31/4.18 inference(modus_ponens,[status(thm)],[17785, 17784])).
% 5.31/4.18 tff(17787,plain,
% 5.31/4.18 (~node26(s27)),
% 5.31/4.18 inference(unit_resolution,[status(thm)],[17786, 16500, 17783])).
% 5.31/4.18 tff(17788,plain,
% 5.31/4.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s26, s27)) | (~always25(s26)) | always25(s27))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s26, s27)) | (~always25(s26)) | always25(s27))),
% 5.31/4.18 inference(rewrite,[status(thm)],[])).
% 5.31/4.18 tff(17789,plain,
% 5.31/4.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s26, s27)) | (~always25(s26)) | always25(s27))),
% 5.31/4.18 inference(quant_inst,[status(thm)],[])).
% 5.31/4.18 tff(17790,plain,
% 5.31/4.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s26, s27)) | (~always25(s26)) | always25(s27)),
% 5.31/4.18 inference(modus_ponens,[status(thm)],[17789, 17788])).
% 5.31/4.18 tff(17791,plain,
% 5.31/4.18 ((~always25(s26)) | always25(s27)),
% 5.31/4.18 inference(unit_resolution,[status(thm)],[17790, 16485, 2558])).
% 5.31/4.18 tff(17792,plain,
% 5.31/4.18 (~always25(s26)),
% 5.31/4.18 inference(unit_resolution,[status(thm)],[17791, 17783])).
% 5.31/4.18 tff(17793,plain,
% 5.31/4.18 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s26) | (~node26(s26)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s26) | (~node26(s26)))),
% 5.31/4.18 inference(rewrite,[status(thm)],[])).
% 5.31/4.18 tff(17794,plain,
% 5.31/4.18 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s26) | (~node26(s26)))),
% 5.31/4.18 inference(quant_inst,[status(thm)],[])).
% 5.31/4.18 tff(17795,plain,
% 5.31/4.18 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s26) | (~node26(s26))),
% 5.31/4.18 inference(modus_ponens,[status(thm)],[17794, 17793])).
% 5.31/4.18 tff(17796,plain,
% 5.31/4.18 (~node26(s26)),
% 5.31/4.18 inference(unit_resolution,[status(thm)],[17795, 16500, 17792])).
% 5.31/4.18 tff(17797,plain,
% 5.31/4.18 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s25, c_t2) | (~node26(s25)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s25, c_t2) | (~node26(s25)))),
% 5.31/4.18 inference(rewrite,[status(thm)],[])).
% 5.31/4.18 tff(17798,plain,
% 5.31/4.18 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s25, c_t2) | (~node26(s25)))),
% 5.31/4.18 inference(quant_inst,[status(thm)],[])).
% 5.31/4.18 tff(17799,plain,
% 5.31/4.18 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s25, c_t2) | (~node26(s25))),
% 5.31/4.18 inference(modus_ponens,[status(thm)],[17798, 17797])).
% 5.31/4.18 tff(17800,plain,
% 5.31/4.18 (~node26(s25)),
% 5.31/4.18 inference(unit_resolution,[status(thm)],[17799, 16520, 2448])).
% 5.31/4.18 tff(17801,plain,
% 5.31/4.18 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s24)) | (~m_main_v_state2(s24, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s24)) | (~m_main_v_state2(s24, c_c2)))),
% 5.31/4.18 inference(rewrite,[status(thm)],[])).
% 5.31/4.18 tff(17802,plain,
% 5.31/4.18 (((~m_main_v_state2(s24, c_c2)) | (~always25(s24))) <=> ((~always25(s24)) | (~m_main_v_state2(s24, c_c2)))),
% 5.31/4.18 inference(rewrite,[status(thm)],[])).
% 5.31/4.18 tff(17803,plain,
% 5.31/4.18 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s24, c_c2)) | (~always25(s24)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s24)) | (~m_main_v_state2(s24, c_c2))))),
% 5.31/4.18 inference(monotonicity,[status(thm)],[17802])).
% 5.31/4.18 tff(17804,plain,
% 5.31/4.18 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s24, c_c2)) | (~always25(s24)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s24)) | (~m_main_v_state2(s24, c_c2)))),
% 5.31/4.18 inference(transitivity,[status(thm)],[17803, 17801])).
% 5.31/4.18 tff(17805,plain,
% 5.31/4.18 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s24, c_c2)) | (~always25(s24)))),
% 5.31/4.18 inference(quant_inst,[status(thm)],[])).
% 5.31/4.18 tff(17806,plain,
% 5.31/4.18 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s24)) | (~m_main_v_state2(s24, c_c2))),
% 5.31/4.18 inference(modus_ponens,[status(thm)],[17805, 17804])).
% 5.31/4.18 tff(17807,plain,
% 5.31/4.18 (~always25(s24)),
% 5.31/4.18 inference(unit_resolution,[status(thm)],[17806, 16468, 2377])).
% 5.31/4.18 tff(17808,plain,
% 5.31/4.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s23, s24)) | (~always25(s23)) | always25(s24))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s23, s24)) | (~always25(s23)) | always25(s24))),
% 5.31/4.18 inference(rewrite,[status(thm)],[])).
% 5.31/4.18 tff(17809,plain,
% 5.31/4.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s23, s24)) | (~always25(s23)) | always25(s24))),
% 5.31/4.18 inference(quant_inst,[status(thm)],[])).
% 5.31/4.18 tff(17810,plain,
% 5.31/4.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s23, s24)) | (~always25(s23)) | always25(s24)),
% 5.31/4.18 inference(modus_ponens,[status(thm)],[17809, 17808])).
% 5.31/4.18 tff(17811,plain,
% 5.31/4.18 ((~always25(s23)) | always25(s24)),
% 5.31/4.18 inference(unit_resolution,[status(thm)],[17810, 16485, 2303])).
% 5.31/4.18 tff(17812,plain,
% 5.31/4.18 (~always25(s23)),
% 5.31/4.18 inference(unit_resolution,[status(thm)],[17811, 17807])).
% 5.31/4.18 tff(17813,plain,
% 5.31/4.18 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s23) | (~node26(s23)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s23) | (~node26(s23)))),
% 5.31/4.18 inference(rewrite,[status(thm)],[])).
% 5.31/4.18 tff(17814,plain,
% 5.31/4.18 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s23) | (~node26(s23)))),
% 5.31/4.18 inference(quant_inst,[status(thm)],[])).
% 5.31/4.18 tff(17815,plain,
% 5.31/4.18 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s23) | (~node26(s23))),
% 5.31/4.18 inference(modus_ponens,[status(thm)],[17814, 17813])).
% 5.31/4.18 tff(17816,plain,
% 5.31/4.18 (~node26(s23)),
% 5.31/4.18 inference(unit_resolution,[status(thm)],[17815, 16500, 17812])).
% 5.31/4.18 tff(17817,plain,
% 5.31/4.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s22, s23)) | (~always25(s22)) | always25(s23))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s22, s23)) | (~always25(s22)) | always25(s23))),
% 5.31/4.18 inference(rewrite,[status(thm)],[])).
% 5.31/4.18 tff(17818,plain,
% 5.31/4.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s22, s23)) | (~always25(s22)) | always25(s23))),
% 5.31/4.18 inference(quant_inst,[status(thm)],[])).
% 5.31/4.18 tff(17819,plain,
% 5.31/4.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s22, s23)) | (~always25(s22)) | always25(s23)),
% 5.31/4.18 inference(modus_ponens,[status(thm)],[17818, 17817])).
% 5.31/4.18 tff(17820,plain,
% 5.31/4.18 ((~always25(s22)) | always25(s23)),
% 5.31/4.18 inference(unit_resolution,[status(thm)],[17819, 16485, 2228])).
% 5.31/4.18 tff(17821,plain,
% 5.31/4.18 (~always25(s22)),
% 5.31/4.18 inference(unit_resolution,[status(thm)],[17820, 17812])).
% 5.31/4.18 tff(17822,plain,
% 5.31/4.18 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s22) | (~node26(s22)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s22) | (~node26(s22)))),
% 5.31/4.18 inference(rewrite,[status(thm)],[])).
% 5.31/4.18 tff(17823,plain,
% 5.31/4.18 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s22) | (~node26(s22)))),
% 5.31/4.18 inference(quant_inst,[status(thm)],[])).
% 5.31/4.18 tff(17824,plain,
% 5.31/4.18 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s22) | (~node26(s22))),
% 5.31/4.18 inference(modus_ponens,[status(thm)],[17823, 17822])).
% 5.31/4.18 tff(17825,plain,
% 5.31/4.18 (~node26(s22)),
% 5.31/4.18 inference(unit_resolution,[status(thm)],[17824, 16500, 17821])).
% 5.31/4.18 tff(17826,plain,
% 5.31/4.18 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s21, c_t2) | (~node26(s21)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s21, c_t2) | (~node26(s21)))),
% 5.31/4.18 inference(rewrite,[status(thm)],[])).
% 5.31/4.18 tff(17827,plain,
% 5.31/4.18 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s21, c_t2) | (~node26(s21)))),
% 5.31/4.18 inference(quant_inst,[status(thm)],[])).
% 5.31/4.18 tff(17828,plain,
% 5.31/4.18 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s21, c_t2) | (~node26(s21))),
% 5.31/4.18 inference(modus_ponens,[status(thm)],[17827, 17826])).
% 5.31/4.18 tff(17829,plain,
% 5.31/4.18 (~node26(s21)),
% 5.31/4.18 inference(unit_resolution,[status(thm)],[17828, 16520, 2153])).
% 5.31/4.18 tff(17830,plain,
% 5.31/4.18 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s20)) | (~m_main_v_state2(s20, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s20)) | (~m_main_v_state2(s20, c_c2)))),
% 5.31/4.18 inference(rewrite,[status(thm)],[])).
% 5.31/4.18 tff(17831,plain,
% 5.31/4.18 (((~m_main_v_state2(s20, c_c2)) | (~always25(s20))) <=> ((~always25(s20)) | (~m_main_v_state2(s20, c_c2)))),
% 5.31/4.18 inference(rewrite,[status(thm)],[])).
% 5.31/4.18 tff(17832,plain,
% 5.31/4.18 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s20, c_c2)) | (~always25(s20)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s20)) | (~m_main_v_state2(s20, c_c2))))),
% 5.31/4.18 inference(monotonicity,[status(thm)],[17831])).
% 5.31/4.18 tff(17833,plain,
% 5.31/4.18 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s20, c_c2)) | (~always25(s20)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s20)) | (~m_main_v_state2(s20, c_c2)))),
% 5.31/4.18 inference(transitivity,[status(thm)],[17832, 17830])).
% 5.31/4.18 tff(17834,plain,
% 5.31/4.18 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s20, c_c2)) | (~always25(s20)))),
% 5.31/4.18 inference(quant_inst,[status(thm)],[])).
% 5.31/4.18 tff(17835,plain,
% 5.31/4.18 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s20)) | (~m_main_v_state2(s20, c_c2))),
% 5.31/4.18 inference(modus_ponens,[status(thm)],[17834, 17833])).
% 5.31/4.18 tff(17836,plain,
% 5.31/4.18 (~always25(s20)),
% 5.31/4.18 inference(unit_resolution,[status(thm)],[17835, 16468, 2017])).
% 5.31/4.18 tff(17837,plain,
% 5.31/4.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s19, s20)) | (~always25(s19)) | always25(s20))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s19, s20)) | (~always25(s19)) | always25(s20))),
% 5.31/4.18 inference(rewrite,[status(thm)],[])).
% 5.31/4.18 tff(17838,plain,
% 5.31/4.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s19, s20)) | (~always25(s19)) | always25(s20))),
% 5.31/4.18 inference(quant_inst,[status(thm)],[])).
% 5.31/4.18 tff(17839,plain,
% 5.31/4.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s19, s20)) | (~always25(s19)) | always25(s20)),
% 5.31/4.18 inference(modus_ponens,[status(thm)],[17838, 17837])).
% 5.31/4.18 tff(17840,plain,
% 5.31/4.18 ((~always25(s19)) | always25(s20)),
% 5.31/4.18 inference(unit_resolution,[status(thm)],[17839, 16485, 2008])).
% 5.31/4.18 tff(17841,plain,
% 5.31/4.18 (~always25(s19)),
% 5.31/4.18 inference(unit_resolution,[status(thm)],[17840, 17836])).
% 5.31/4.18 tff(17842,plain,
% 5.31/4.18 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s19) | (~node26(s19)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s19) | (~node26(s19)))),
% 5.31/4.18 inference(rewrite,[status(thm)],[])).
% 5.31/4.18 tff(17843,plain,
% 5.31/4.18 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s19) | (~node26(s19)))),
% 5.31/4.18 inference(quant_inst,[status(thm)],[])).
% 5.31/4.18 tff(17844,plain,
% 5.31/4.18 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s19) | (~node26(s19))),
% 5.31/4.18 inference(modus_ponens,[status(thm)],[17843, 17842])).
% 5.31/4.18 tff(17845,plain,
% 5.31/4.18 (~node26(s19)),
% 5.31/4.18 inference(unit_resolution,[status(thm)],[17844, 16500, 17841])).
% 5.31/4.18 tff(17846,plain,
% 5.31/4.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s18, s19)) | (~always25(s18)) | always25(s19))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s18, s19)) | (~always25(s18)) | always25(s19))),
% 5.31/4.18 inference(rewrite,[status(thm)],[])).
% 5.31/4.18 tff(17847,plain,
% 5.31/4.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s18, s19)) | (~always25(s18)) | always25(s19))),
% 5.31/4.18 inference(quant_inst,[status(thm)],[])).
% 5.31/4.18 tff(17848,plain,
% 5.31/4.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s18, s19)) | (~always25(s18)) | always25(s19)),
% 5.31/4.18 inference(modus_ponens,[status(thm)],[17847, 17846])).
% 5.31/4.18 tff(17849,plain,
% 5.31/4.18 ((~always25(s18)) | always25(s19)),
% 5.31/4.18 inference(unit_resolution,[status(thm)],[17848, 16485, 1930])).
% 5.31/4.18 tff(17850,plain,
% 5.31/4.18 (~always25(s18)),
% 5.31/4.18 inference(unit_resolution,[status(thm)],[17849, 17841])).
% 5.31/4.18 tff(17851,plain,
% 5.31/4.18 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s18) | (~node26(s18)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s18) | (~node26(s18)))),
% 5.31/4.18 inference(rewrite,[status(thm)],[])).
% 5.31/4.18 tff(17852,plain,
% 5.31/4.18 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s18) | (~node26(s18)))),
% 5.31/4.18 inference(quant_inst,[status(thm)],[])).
% 5.31/4.18 tff(17853,plain,
% 5.31/4.18 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s18) | (~node26(s18))),
% 5.31/4.19 inference(modus_ponens,[status(thm)],[17852, 17851])).
% 5.31/4.19 tff(17854,plain,
% 5.31/4.19 (~node26(s18)),
% 5.31/4.19 inference(unit_resolution,[status(thm)],[17853, 16500, 17850])).
% 5.31/4.19 tff(17855,plain,
% 5.31/4.19 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s17, c_t2) | (~node26(s17)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s17, c_t2) | (~node26(s17)))),
% 5.31/4.19 inference(rewrite,[status(thm)],[])).
% 5.31/4.19 tff(17856,plain,
% 5.31/4.19 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s17, c_t2) | (~node26(s17)))),
% 5.31/4.19 inference(quant_inst,[status(thm)],[])).
% 5.31/4.19 tff(17857,plain,
% 5.31/4.19 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s17, c_t2) | (~node26(s17))),
% 5.31/4.19 inference(modus_ponens,[status(thm)],[17856, 17855])).
% 5.31/4.19 tff(17858,plain,
% 5.31/4.19 (~node26(s17)),
% 5.31/4.19 inference(unit_resolution,[status(thm)],[17857, 16520, 1820])).
% 5.31/4.19 tff(17859,plain,
% 5.31/4.19 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s16)) | (~m_main_v_state2(s16, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s16)) | (~m_main_v_state2(s16, c_c2)))),
% 5.31/4.19 inference(rewrite,[status(thm)],[])).
% 5.31/4.19 tff(17860,plain,
% 5.31/4.19 (((~m_main_v_state2(s16, c_c2)) | (~always25(s16))) <=> ((~always25(s16)) | (~m_main_v_state2(s16, c_c2)))),
% 5.31/4.19 inference(rewrite,[status(thm)],[])).
% 5.31/4.19 tff(17861,plain,
% 5.31/4.19 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s16, c_c2)) | (~always25(s16)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s16)) | (~m_main_v_state2(s16, c_c2))))),
% 5.31/4.19 inference(monotonicity,[status(thm)],[17860])).
% 5.31/4.19 tff(17862,plain,
% 5.31/4.19 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s16, c_c2)) | (~always25(s16)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s16)) | (~m_main_v_state2(s16, c_c2)))),
% 5.31/4.19 inference(transitivity,[status(thm)],[17861, 17859])).
% 5.31/4.19 tff(17863,plain,
% 5.31/4.19 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s16, c_c2)) | (~always25(s16)))),
% 5.31/4.19 inference(quant_inst,[status(thm)],[])).
% 5.31/4.19 tff(17864,plain,
% 5.31/4.19 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s16)) | (~m_main_v_state2(s16, c_c2))),
% 5.31/4.19 inference(modus_ponens,[status(thm)],[17863, 17862])).
% 5.31/4.19 tff(17865,plain,
% 5.31/4.19 (~always25(s16)),
% 5.31/4.19 inference(unit_resolution,[status(thm)],[17864, 16468, 1749])).
% 5.31/4.19 tff(17866,plain,
% 5.31/4.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s15, s16)) | (~always25(s15)) | always25(s16))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s15, s16)) | (~always25(s15)) | always25(s16))),
% 5.31/4.19 inference(rewrite,[status(thm)],[])).
% 5.31/4.19 tff(17867,plain,
% 5.31/4.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s15, s16)) | (~always25(s15)) | always25(s16))),
% 5.31/4.19 inference(quant_inst,[status(thm)],[])).
% 5.31/4.19 tff(17868,plain,
% 5.31/4.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s15, s16)) | (~always25(s15)) | always25(s16)),
% 5.31/4.19 inference(modus_ponens,[status(thm)],[17867, 17866])).
% 5.31/4.19 tff(17869,plain,
% 5.31/4.19 ((~always25(s15)) | always25(s16)),
% 5.31/4.19 inference(unit_resolution,[status(thm)],[17868, 16485, 1675])).
% 5.31/4.19 tff(17870,plain,
% 5.31/4.19 (~always25(s15)),
% 5.31/4.19 inference(unit_resolution,[status(thm)],[17869, 17865])).
% 5.31/4.19 tff(17871,plain,
% 5.31/4.19 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s15) | (~node26(s15)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s15) | (~node26(s15)))),
% 5.31/4.19 inference(rewrite,[status(thm)],[])).
% 5.31/4.19 tff(17872,plain,
% 5.31/4.19 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s15) | (~node26(s15)))),
% 5.31/4.19 inference(quant_inst,[status(thm)],[])).
% 5.31/4.19 tff(17873,plain,
% 5.31/4.19 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s15) | (~node26(s15))),
% 5.31/4.19 inference(modus_ponens,[status(thm)],[17872, 17871])).
% 5.31/4.19 tff(17874,plain,
% 5.31/4.19 (~node26(s15)),
% 5.31/4.19 inference(unit_resolution,[status(thm)],[17873, 16500, 17870])).
% 5.31/4.19 tff(17875,plain,
% 5.31/4.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s14, s15)) | (~always25(s14)) | always25(s15))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s14, s15)) | (~always25(s14)) | always25(s15))),
% 5.31/4.19 inference(rewrite,[status(thm)],[])).
% 5.31/4.19 tff(17876,plain,
% 5.31/4.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s14, s15)) | (~always25(s14)) | always25(s15))),
% 5.31/4.19 inference(quant_inst,[status(thm)],[])).
% 5.31/4.19 tff(17877,plain,
% 5.31/4.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s14, s15)) | (~always25(s14)) | always25(s15)),
% 5.31/4.19 inference(modus_ponens,[status(thm)],[17876, 17875])).
% 5.31/4.19 tff(17878,plain,
% 5.31/4.19 ((~always25(s14)) | always25(s15)),
% 5.31/4.19 inference(unit_resolution,[status(thm)],[17877, 16485, 1600])).
% 5.31/4.19 tff(17879,plain,
% 5.31/4.19 (~always25(s14)),
% 5.31/4.19 inference(unit_resolution,[status(thm)],[17878, 17870])).
% 5.31/4.19 tff(17880,plain,
% 5.31/4.19 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s14) | (~node26(s14)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s14) | (~node26(s14)))),
% 5.31/4.19 inference(rewrite,[status(thm)],[])).
% 5.31/4.19 tff(17881,plain,
% 5.31/4.19 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s14) | (~node26(s14)))),
% 5.31/4.19 inference(quant_inst,[status(thm)],[])).
% 5.31/4.19 tff(17882,plain,
% 5.31/4.19 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s14) | (~node26(s14))),
% 5.31/4.19 inference(modus_ponens,[status(thm)],[17881, 17880])).
% 5.31/4.19 tff(17883,plain,
% 5.31/4.19 (~node26(s14)),
% 5.31/4.19 inference(unit_resolution,[status(thm)],[17882, 16500, 17879])).
% 5.31/4.19 tff(17884,plain,
% 5.31/4.19 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s13, c_t2) | (~node26(s13)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s13, c_t2) | (~node26(s13)))),
% 5.31/4.19 inference(rewrite,[status(thm)],[])).
% 5.31/4.19 tff(17885,plain,
% 5.31/4.19 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s13, c_t2) | (~node26(s13)))),
% 5.31/4.19 inference(quant_inst,[status(thm)],[])).
% 5.31/4.19 tff(17886,plain,
% 5.31/4.19 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s13, c_t2) | (~node26(s13))),
% 5.31/4.19 inference(modus_ponens,[status(thm)],[17885, 17884])).
% 5.31/4.19 tff(17887,plain,
% 5.31/4.19 (~node26(s13)),
% 5.31/4.19 inference(unit_resolution,[status(thm)],[17886, 16520, 1525])).
% 5.31/4.19 tff(17888,plain,
% 5.31/4.19 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s12)) | (~m_main_v_state2(s12, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s12)) | (~m_main_v_state2(s12, c_c2)))),
% 5.31/4.19 inference(rewrite,[status(thm)],[])).
% 5.31/4.19 tff(17889,plain,
% 5.31/4.19 (((~m_main_v_state2(s12, c_c2)) | (~always25(s12))) <=> ((~always25(s12)) | (~m_main_v_state2(s12, c_c2)))),
% 5.31/4.19 inference(rewrite,[status(thm)],[])).
% 5.31/4.19 tff(17890,plain,
% 5.31/4.19 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s12, c_c2)) | (~always25(s12)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s12)) | (~m_main_v_state2(s12, c_c2))))),
% 5.31/4.19 inference(monotonicity,[status(thm)],[17889])).
% 5.31/4.19 tff(17891,plain,
% 5.31/4.19 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s12, c_c2)) | (~always25(s12)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s12)) | (~m_main_v_state2(s12, c_c2)))),
% 5.31/4.19 inference(transitivity,[status(thm)],[17890, 17888])).
% 5.31/4.19 tff(17892,plain,
% 5.31/4.19 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s12, c_c2)) | (~always25(s12)))),
% 5.31/4.19 inference(quant_inst,[status(thm)],[])).
% 5.31/4.19 tff(17893,plain,
% 5.31/4.19 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s12)) | (~m_main_v_state2(s12, c_c2))),
% 5.31/4.19 inference(modus_ponens,[status(thm)],[17892, 17891])).
% 5.31/4.19 tff(17894,plain,
% 5.31/4.19 (~always25(s12)),
% 5.31/4.19 inference(unit_resolution,[status(thm)],[17893, 16468, 1389])).
% 5.31/4.19 tff(17895,plain,
% 5.31/4.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s11, s12)) | (~always25(s11)) | always25(s12))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s11, s12)) | (~always25(s11)) | always25(s12))),
% 5.31/4.19 inference(rewrite,[status(thm)],[])).
% 5.31/4.19 tff(17896,plain,
% 5.31/4.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s11, s12)) | (~always25(s11)) | always25(s12))),
% 5.31/4.19 inference(quant_inst,[status(thm)],[])).
% 5.31/4.19 tff(17897,plain,
% 5.31/4.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s11, s12)) | (~always25(s11)) | always25(s12)),
% 5.31/4.19 inference(modus_ponens,[status(thm)],[17896, 17895])).
% 5.31/4.19 tff(17898,plain,
% 5.31/4.19 ((~always25(s11)) | always25(s12)),
% 5.31/4.19 inference(unit_resolution,[status(thm)],[17897, 16485, 1380])).
% 5.31/4.19 tff(17899,plain,
% 5.31/4.19 (~always25(s11)),
% 5.31/4.19 inference(unit_resolution,[status(thm)],[17898, 17894])).
% 5.31/4.19 tff(17900,plain,
% 5.31/4.19 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s11) | (~node26(s11)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s11) | (~node26(s11)))),
% 5.31/4.19 inference(rewrite,[status(thm)],[])).
% 5.31/4.19 tff(17901,plain,
% 5.31/4.19 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s11) | (~node26(s11)))),
% 5.31/4.19 inference(quant_inst,[status(thm)],[])).
% 5.31/4.19 tff(17902,plain,
% 5.31/4.19 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s11) | (~node26(s11))),
% 5.31/4.19 inference(modus_ponens,[status(thm)],[17901, 17900])).
% 5.31/4.19 tff(17903,plain,
% 5.31/4.19 (~node26(s11)),
% 5.31/4.19 inference(unit_resolution,[status(thm)],[17902, 16500, 17899])).
% 5.31/4.19 tff(17904,plain,
% 5.31/4.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s10, s11)) | (~always25(s10)) | always25(s11))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s10, s11)) | (~always25(s10)) | always25(s11))),
% 5.31/4.19 inference(rewrite,[status(thm)],[])).
% 5.31/4.19 tff(17905,plain,
% 5.31/4.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s10, s11)) | (~always25(s10)) | always25(s11))),
% 5.31/4.19 inference(quant_inst,[status(thm)],[])).
% 5.31/4.19 tff(17906,plain,
% 5.31/4.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s10, s11)) | (~always25(s10)) | always25(s11)),
% 5.31/4.19 inference(modus_ponens,[status(thm)],[17905, 17904])).
% 5.31/4.19 tff(17907,plain,
% 5.31/4.19 ((~always25(s10)) | always25(s11)),
% 5.31/4.19 inference(unit_resolution,[status(thm)],[17906, 16485, 1302])).
% 5.31/4.19 tff(17908,plain,
% 5.31/4.19 (~always25(s10)),
% 5.31/4.19 inference(unit_resolution,[status(thm)],[17907, 17899])).
% 5.31/4.19 tff(17909,plain,
% 5.31/4.19 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s10) | (~node26(s10)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s10) | (~node26(s10)))),
% 5.31/4.19 inference(rewrite,[status(thm)],[])).
% 5.31/4.19 tff(17910,plain,
% 5.31/4.19 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s10) | (~node26(s10)))),
% 5.31/4.19 inference(quant_inst,[status(thm)],[])).
% 5.31/4.19 tff(17911,plain,
% 5.31/4.19 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s10) | (~node26(s10))),
% 5.31/4.19 inference(modus_ponens,[status(thm)],[17910, 17909])).
% 5.31/4.19 tff(17912,plain,
% 5.31/4.19 (~node26(s10)),
% 5.31/4.19 inference(unit_resolution,[status(thm)],[17911, 16500, 17908])).
% 5.31/4.19 tff(17913,plain,
% 5.31/4.19 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s9, c_t2) | (~node26(s9)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s9, c_t2) | (~node26(s9)))),
% 5.31/4.19 inference(rewrite,[status(thm)],[])).
% 5.31/4.19 tff(17914,plain,
% 5.31/4.19 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s9, c_t2) | (~node26(s9)))),
% 5.31/4.19 inference(quant_inst,[status(thm)],[])).
% 5.31/4.19 tff(17915,plain,
% 5.31/4.19 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s9, c_t2) | (~node26(s9))),
% 5.31/4.19 inference(modus_ponens,[status(thm)],[17914, 17913])).
% 5.31/4.19 tff(17916,plain,
% 5.31/4.19 (~node26(s9)),
% 5.31/4.19 inference(unit_resolution,[status(thm)],[17915, 16520, 1192])).
% 5.31/4.19 tff(17917,plain,
% 5.31/4.19 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s8)) | (~m_main_v_state2(s8, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s8)) | (~m_main_v_state2(s8, c_c2)))),
% 5.31/4.19 inference(rewrite,[status(thm)],[])).
% 5.31/4.19 tff(17918,plain,
% 5.31/4.19 (((~m_main_v_state2(s8, c_c2)) | (~always25(s8))) <=> ((~always25(s8)) | (~m_main_v_state2(s8, c_c2)))),
% 5.31/4.19 inference(rewrite,[status(thm)],[])).
% 5.31/4.19 tff(17919,plain,
% 5.31/4.19 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s8, c_c2)) | (~always25(s8)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s8)) | (~m_main_v_state2(s8, c_c2))))),
% 5.31/4.19 inference(monotonicity,[status(thm)],[17918])).
% 5.31/4.19 tff(17920,plain,
% 5.31/4.19 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s8, c_c2)) | (~always25(s8)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s8)) | (~m_main_v_state2(s8, c_c2)))),
% 5.31/4.19 inference(transitivity,[status(thm)],[17919, 17917])).
% 5.31/4.19 tff(17921,plain,
% 5.31/4.19 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s8, c_c2)) | (~always25(s8)))),
% 5.31/4.19 inference(quant_inst,[status(thm)],[])).
% 5.31/4.19 tff(17922,plain,
% 5.31/4.19 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s8)) | (~m_main_v_state2(s8, c_c2))),
% 5.31/4.19 inference(modus_ponens,[status(thm)],[17921, 17920])).
% 5.31/4.19 tff(17923,plain,
% 5.31/4.19 (~always25(s8)),
% 5.31/4.19 inference(unit_resolution,[status(thm)],[17922, 16468, 1121])).
% 5.31/4.19 tff(17924,plain,
% 5.31/4.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s7, s8)) | (~always25(s7)) | always25(s8))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s7, s8)) | (~always25(s7)) | always25(s8))),
% 5.31/4.19 inference(rewrite,[status(thm)],[])).
% 5.31/4.19 tff(17925,plain,
% 5.31/4.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s7, s8)) | (~always25(s7)) | always25(s8))),
% 5.31/4.19 inference(quant_inst,[status(thm)],[])).
% 5.31/4.19 tff(17926,plain,
% 5.31/4.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s7, s8)) | (~always25(s7)) | always25(s8)),
% 5.31/4.19 inference(modus_ponens,[status(thm)],[17925, 17924])).
% 5.31/4.19 tff(17927,plain,
% 5.31/4.19 ((~always25(s7)) | always25(s8)),
% 5.31/4.19 inference(unit_resolution,[status(thm)],[17926, 16485, 1047])).
% 5.31/4.19 tff(17928,plain,
% 5.31/4.19 (~always25(s7)),
% 5.31/4.19 inference(unit_resolution,[status(thm)],[17927, 17923])).
% 5.31/4.19 tff(17929,plain,
% 5.31/4.19 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s7) | (~node26(s7)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s7) | (~node26(s7)))),
% 5.31/4.19 inference(rewrite,[status(thm)],[])).
% 5.31/4.19 tff(17930,plain,
% 5.31/4.19 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s7) | (~node26(s7)))),
% 5.31/4.19 inference(quant_inst,[status(thm)],[])).
% 5.31/4.19 tff(17931,plain,
% 5.31/4.19 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s7) | (~node26(s7))),
% 5.31/4.19 inference(modus_ponens,[status(thm)],[17930, 17929])).
% 5.31/4.19 tff(17932,plain,
% 5.31/4.19 (~node26(s7)),
% 5.31/4.19 inference(unit_resolution,[status(thm)],[17931, 16500, 17928])).
% 5.31/4.19 tff(17933,plain,
% 5.31/4.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s6, s7)) | (~always25(s6)) | always25(s7))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s6, s7)) | (~always25(s6)) | always25(s7))),
% 5.31/4.19 inference(rewrite,[status(thm)],[])).
% 5.31/4.19 tff(17934,plain,
% 5.31/4.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s6, s7)) | (~always25(s6)) | always25(s7))),
% 5.31/4.19 inference(quant_inst,[status(thm)],[])).
% 5.31/4.19 tff(17935,plain,
% 5.31/4.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s6, s7)) | (~always25(s6)) | always25(s7)),
% 5.31/4.19 inference(modus_ponens,[status(thm)],[17934, 17933])).
% 5.31/4.19 tff(17936,plain,
% 5.31/4.19 ((~always25(s6)) | always25(s7)),
% 5.31/4.19 inference(unit_resolution,[status(thm)],[17935, 16485, 962])).
% 5.31/4.19 tff(17937,plain,
% 5.31/4.19 (~always25(s6)),
% 5.31/4.19 inference(unit_resolution,[status(thm)],[17936, 17928])).
% 5.31/4.19 tff(17938,plain,
% 5.31/4.19 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s6) | (~node26(s6)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s6) | (~node26(s6)))),
% 5.31/4.19 inference(rewrite,[status(thm)],[])).
% 5.31/4.19 tff(17939,plain,
% 5.31/4.19 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s6) | (~node26(s6)))),
% 5.31/4.19 inference(quant_inst,[status(thm)],[])).
% 5.31/4.19 tff(17940,plain,
% 5.31/4.19 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s6) | (~node26(s6))),
% 5.31/4.19 inference(modus_ponens,[status(thm)],[17939, 17938])).
% 5.31/4.19 tff(17941,plain,
% 5.31/4.19 (~node26(s6)),
% 5.31/4.19 inference(unit_resolution,[status(thm)],[17940, 16500, 17937])).
% 5.31/4.19 tff(17942,plain,
% 5.31/4.19 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s5, c_t2) | (~node26(s5)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s5, c_t2) | (~node26(s5)))),
% 5.31/4.19 inference(rewrite,[status(thm)],[])).
% 5.31/4.19 tff(17943,plain,
% 5.31/4.19 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s5, c_t2) | (~node26(s5)))),
% 5.31/4.19 inference(quant_inst,[status(thm)],[])).
% 5.31/4.19 tff(17944,plain,
% 5.31/4.19 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s5, c_t2) | (~node26(s5))),
% 5.31/4.19 inference(modus_ponens,[status(thm)],[17943, 17942])).
% 5.31/4.19 tff(17945,plain,
% 5.31/4.19 (~node26(s5)),
% 5.31/4.19 inference(unit_resolution,[status(thm)],[17944, 16520, 867])).
% 5.31/4.19 tff(17946,plain,
% 5.31/4.19 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s4)) | (~m_main_v_state2(s4, c_c2)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s4)) | (~m_main_v_state2(s4, c_c2)))),
% 5.31/4.19 inference(rewrite,[status(thm)],[])).
% 5.31/4.19 tff(17947,plain,
% 5.31/4.19 (((~m_main_v_state2(s4, c_c2)) | (~always25(s4))) <=> ((~always25(s4)) | (~m_main_v_state2(s4, c_c2)))),
% 5.31/4.19 inference(rewrite,[status(thm)],[])).
% 5.31/4.19 tff(17948,plain,
% 5.31/4.19 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s4, c_c2)) | (~always25(s4)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~always25(s4)) | (~m_main_v_state2(s4, c_c2))))),
% 5.31/4.19 inference(monotonicity,[status(thm)],[17947])).
% 5.31/4.19 tff(17949,plain,
% 5.31/4.19 (((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s4, c_c2)) | (~always25(s4)))) <=> ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s4)) | (~m_main_v_state2(s4, c_c2)))),
% 5.31/4.19 inference(transitivity,[status(thm)],[17948, 17946])).
% 5.31/4.19 tff(17950,plain,
% 5.31/4.19 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | ((~m_main_v_state2(s4, c_c2)) | (~always25(s4)))),
% 5.31/4.19 inference(quant_inst,[status(thm)],[])).
% 5.31/4.19 tff(17951,plain,
% 5.31/4.19 ((~![X: $i] : ((~m_main_v_state2(X, c_c2)) | (~always25(X)))) | (~always25(s4)) | (~m_main_v_state2(s4, c_c2))),
% 5.31/4.19 inference(modus_ponens,[status(thm)],[17950, 17949])).
% 5.31/4.19 tff(17952,plain,
% 5.31/4.19 (~always25(s4)),
% 5.31/4.19 inference(unit_resolution,[status(thm)],[17951, 16468, 622])).
% 5.31/4.19 tff(17953,plain,
% 5.31/4.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s3, s4)) | (~always25(s3)) | always25(s4))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s3, s4)) | (~always25(s3)) | always25(s4))),
% 5.31/4.19 inference(rewrite,[status(thm)],[])).
% 5.31/4.19 tff(17954,plain,
% 5.31/4.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s3, s4)) | (~always25(s3)) | always25(s4))),
% 5.31/4.19 inference(quant_inst,[status(thm)],[])).
% 5.31/4.19 tff(17955,plain,
% 5.31/4.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s3, s4)) | (~always25(s3)) | always25(s4)),
% 5.31/4.19 inference(modus_ponens,[status(thm)],[17954, 17953])).
% 5.31/4.19 tff(17956,plain,
% 5.31/4.19 ((~always25(s3)) | always25(s4)),
% 5.31/4.19 inference(unit_resolution,[status(thm)],[17955, 16485, 603])).
% 5.31/4.19 tff(17957,plain,
% 5.31/4.19 (~always25(s3)),
% 5.31/4.19 inference(unit_resolution,[status(thm)],[17956, 17952])).
% 5.31/4.19 tff(17958,plain,
% 5.31/4.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s2, s3)) | (~always25(s2)) | always25(s3))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s2, s3)) | (~always25(s2)) | always25(s3))),
% 5.31/4.19 inference(rewrite,[status(thm)],[])).
% 5.31/4.19 tff(17959,plain,
% 5.31/4.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s2, s3)) | (~always25(s2)) | always25(s3))),
% 5.31/4.19 inference(quant_inst,[status(thm)],[])).
% 5.31/4.19 tff(17960,plain,
% 5.31/4.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s2, s3)) | (~always25(s2)) | always25(s3)),
% 5.31/4.19 inference(modus_ponens,[status(thm)],[17959, 17958])).
% 5.31/4.19 tff(17961,plain,
% 5.31/4.19 ((~always25(s2)) | always25(s3)),
% 5.31/4.19 inference(unit_resolution,[status(thm)],[17960, 16485, 484])).
% 5.31/4.19 tff(17962,plain,
% 5.31/4.19 (~always25(s2)),
% 5.31/4.19 inference(unit_resolution,[status(thm)],[17961, 17957])).
% 5.31/4.19 tff(17963,plain,
% 5.31/4.19 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s2) | (~node26(s2)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s2) | (~node26(s2)))),
% 5.31/4.19 inference(rewrite,[status(thm)],[])).
% 5.31/4.19 tff(17964,plain,
% 5.31/4.19 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s2) | (~node26(s2)))),
% 5.31/4.19 inference(quant_inst,[status(thm)],[])).
% 5.31/4.19 tff(17965,plain,
% 5.31/4.19 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s2) | (~node26(s2))),
% 5.31/4.19 inference(modus_ponens,[status(thm)],[17964, 17963])).
% 5.31/4.19 tff(17966,plain,
% 5.31/4.19 (~node26(s2)),
% 5.31/4.19 inference(unit_resolution,[status(thm)],[17965, 16500, 17962])).
% 5.31/4.19 tff(17967,plain,
% 5.31/4.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s1, s2)) | (~always25(s1)) | always25(s2))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s1, s2)) | (~always25(s1)) | always25(s2))),
% 5.31/4.19 inference(rewrite,[status(thm)],[])).
% 5.31/4.19 tff(17968,plain,
% 5.31/4.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | ((~trans(s1, s2)) | (~always25(s1)) | always25(s2))),
% 5.31/4.19 inference(quant_inst,[status(thm)],[])).
% 5.31/4.19 tff(17969,plain,
% 5.31/4.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always25(X)) | always25(Y))) | (~trans(s1, s2)) | (~always25(s1)) | always25(s2)),
% 5.31/4.19 inference(modus_ponens,[status(thm)],[17968, 17967])).
% 5.31/4.19 tff(17970,plain,
% 5.31/4.19 ((~always25(s1)) | always25(s2)),
% 5.31/4.19 inference(unit_resolution,[status(thm)],[17969, 16485, 282])).
% 5.31/4.19 tff(17971,plain,
% 5.31/4.19 (~always25(s1)),
% 5.31/4.19 inference(unit_resolution,[status(thm)],[17970, 17962])).
% 5.31/4.19 tff(17972,plain,
% 5.31/4.19 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s1) | (~node26(s1)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s1) | (~node26(s1)))),
% 5.31/4.19 inference(rewrite,[status(thm)],[])).
% 5.31/4.19 tff(17973,plain,
% 5.31/4.19 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s1) | (~node26(s1)))),
% 5.31/4.19 inference(quant_inst,[status(thm)],[])).
% 5.31/4.19 tff(17974,plain,
% 5.31/4.19 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s1) | (~node26(s1))),
% 5.31/4.19 inference(modus_ponens,[status(thm)],[17973, 17972])).
% 5.31/4.19 tff(17975,plain,
% 5.31/4.19 (~node26(s1)),
% 5.31/4.19 inference(unit_resolution,[status(thm)],[17974, 16500, 17971])).
% 5.31/4.19 tff(17976,plain,
% 5.31/4.19 (((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s0, c_t2) | (~node26(s0)))) <=> ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s0, c_t2) | (~node26(s0)))),
% 5.31/4.19 inference(rewrite,[status(thm)],[])).
% 5.31/4.19 tff(17977,plain,
% 5.31/4.19 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | (m_main_v_state2(s0, c_t2) | (~node26(s0)))),
% 5.31/4.19 inference(quant_inst,[status(thm)],[])).
% 5.31/4.19 tff(17978,plain,
% 5.31/4.19 ((~![X: $i] : (m_main_v_state2(X, c_t2) | (~node26(X)))) | m_main_v_state2(s0, c_t2) | (~node26(s0))),
% 5.31/4.19 inference(modus_ponens,[status(thm)],[17977, 17976])).
% 5.31/4.19 tff(17979,plain,
% 5.31/4.19 (~node26(s0)),
% 5.31/4.19 inference(unit_resolution,[status(thm)],[17978, 16520, 96])).
% 5.31/4.19 tff(17980,plain,
% 5.31/4.19 (until27(s0) <=> until27(s0)),
% 5.31/4.19 inference(rewrite,[status(thm)],[])).
% 5.31/4.19 tff(17981,axiom,(until27(s0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty26')).
% 5.31/4.19 tff(17982,plain,
% 5.31/4.19 (until27(s0)),
% 5.31/4.19 inference(modus_ponens,[status(thm)],[17981, 17980])).
% 5.31/4.19 tff(17983,plain,
% 5.31/4.19 (^[X: $i] : refl((node26(X) | (~until27(X)) | xuntil28(X)) <=> (node26(X) | (~until27(X)) | xuntil28(X)))),
% 5.31/4.19 inference(bind,[status(th)],[])).
% 5.31/4.19 tff(17984,plain,
% 5.31/4.19 (![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X)) <=> ![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))),
% 5.31/4.19 inference(quant_intro,[status(thm)],[17983])).
% 5.31/4.19 tff(17985,plain,
% 5.31/4.19 (![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X)) <=> ![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))),
% 5.31/4.19 inference(rewrite,[status(thm)],[])).
% 5.31/4.19 tff(17986,plain,
% 5.31/4.19 (^[X: $i] : rewrite(((node26(X) | xuntil28(X)) | (~until27(X))) <=> (node26(X) | (~until27(X)) | xuntil28(X)))),
% 5.31/4.19 inference(bind,[status(th)],[])).
% 5.31/4.19 tff(17987,plain,
% 5.31/4.19 (![X: $i] : ((node26(X) | xuntil28(X)) | (~until27(X))) <=> ![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))),
% 5.31/4.19 inference(quant_intro,[status(thm)],[17986])).
% 5.31/4.19 tff(17988,axiom,(![X: $i] : ((node26(X) | xuntil28(X)) | (~until27(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty19')).
% 5.31/4.19 tff(17989,plain,
% 5.31/4.19 (![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))),
% 5.31/4.19 inference(modus_ponens,[status(thm)],[17988, 17987])).
% 5.31/4.19 tff(17990,plain,
% 5.31/4.19 (![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))),
% 5.31/4.19 inference(modus_ponens,[status(thm)],[17989, 17985])).
% 5.31/4.19 tff(17991,plain,(
% 5.31/4.19 ![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))),
% 5.31/4.19 inference(skolemize,[status(sab)],[17990])).
% 5.31/4.19 tff(17992,plain,
% 5.31/4.19 (![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))),
% 5.31/4.19 inference(modus_ponens,[status(thm)],[17991, 17984])).
% 5.31/4.19 tff(17993,plain,
% 5.31/4.19 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s0) | node26(s0) | (~until27(s0)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s0) | node26(s0) | (~until27(s0)))),
% 5.31/4.19 inference(rewrite,[status(thm)],[])).
% 5.31/4.19 tff(17994,plain,
% 5.31/4.19 ((node26(s0) | (~until27(s0)) | xuntil28(s0)) <=> (xuntil28(s0) | node26(s0) | (~until27(s0)))),
% 5.31/4.19 inference(rewrite,[status(thm)],[])).
% 5.31/4.19 tff(17995,plain,
% 5.31/4.19 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s0) | (~until27(s0)) | xuntil28(s0))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s0) | node26(s0) | (~until27(s0))))),
% 5.31/4.19 inference(monotonicity,[status(thm)],[17994])).
% 5.31/4.19 tff(17996,plain,
% 5.31/4.19 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s0) | (~until27(s0)) | xuntil28(s0))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s0) | node26(s0) | (~until27(s0)))),
% 5.31/4.19 inference(transitivity,[status(thm)],[17995, 17993])).
% 5.31/4.19 tff(17997,plain,
% 5.31/4.19 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s0) | (~until27(s0)) | xuntil28(s0))),
% 5.31/4.19 inference(quant_inst,[status(thm)],[])).
% 5.31/4.19 tff(17998,plain,
% 5.31/4.19 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s0) | node26(s0) | (~until27(s0))),
% 5.31/4.19 inference(modus_ponens,[status(thm)],[17997, 17996])).
% 5.31/4.19 tff(17999,plain,
% 5.31/4.19 (xuntil28(s0) | node26(s0)),
% 5.31/4.19 inference(unit_resolution,[status(thm)],[17998, 17992, 17982])).
% 5.31/4.19 tff(18000,plain,
% 5.31/4.19 (xuntil28(s0)),
% 5.31/4.19 inference(unit_resolution,[status(thm)],[17999, 17979])).
% 5.31/4.19 tff(18001,plain,
% 5.31/4.19 (^[Y: $i, X: $i] : refl(((~succ(X, Y)) | (~xuntil28(X)) | until27(Y)) <=> ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y)))),
% 5.31/4.19 inference(bind,[status(th)],[])).
% 5.31/4.19 tff(18002,plain,
% 5.31/4.19 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))),
% 5.31/4.19 inference(quant_intro,[status(thm)],[18001])).
% 5.31/4.19 tff(18003,plain,
% 5.31/4.19 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))),
% 5.31/4.19 inference(rewrite,[status(thm)],[])).
% 5.31/4.19 tff(18004,plain,
% 5.31/4.19 (^[Y: $i, X: $i] : rewrite(((until27(Y) | (~succ(X, Y))) | (~xuntil28(X))) <=> ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y)))),
% 5.31/4.19 inference(bind,[status(th)],[])).
% 5.31/4.19 tff(18005,plain,
% 5.31/4.19 (![Y: $i, X: $i] : ((until27(Y) | (~succ(X, Y))) | (~xuntil28(X))) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))),
% 5.31/4.19 inference(quant_intro,[status(thm)],[18004])).
% 5.31/4.19 tff(18006,axiom,(![Y: $i, X: $i] : ((until27(Y) | (~succ(X, Y))) | (~xuntil28(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty20')).
% 5.31/4.19 tff(18007,plain,
% 5.31/4.19 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))),
% 5.31/4.19 inference(modus_ponens,[status(thm)],[18006, 18005])).
% 5.31/4.19 tff(18008,plain,
% 5.31/4.19 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))),
% 5.31/4.19 inference(modus_ponens,[status(thm)],[18007, 18003])).
% 5.31/4.19 tff(18009,plain,(
% 5.31/4.19 ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))),
% 5.31/4.19 inference(skolemize,[status(sab)],[18008])).
% 5.31/4.19 tff(18010,plain,
% 5.31/4.19 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))),
% 5.31/4.19 inference(modus_ponens,[status(thm)],[18009, 18002])).
% 5.31/4.19 tff(18011,plain,
% 5.31/4.19 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s0, s1)) | (~xuntil28(s0)) | until27(s1))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s0, s1)) | (~xuntil28(s0)) | until27(s1))),
% 5.31/4.19 inference(rewrite,[status(thm)],[])).
% 5.31/4.19 tff(18012,plain,
% 5.31/4.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s0, s1)) | (~xuntil28(s0)) | until27(s1))),
% 5.31/4.19 inference(quant_inst,[status(thm)],[])).
% 5.31/4.19 tff(18013,plain,
% 5.31/4.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s0, s1)) | (~xuntil28(s0)) | until27(s1)),
% 5.31/4.19 inference(modus_ponens,[status(thm)],[18012, 18011])).
% 5.31/4.19 tff(18014,plain,
% 5.31/4.19 ((~xuntil28(s0)) | until27(s1)),
% 5.31/4.19 inference(unit_resolution,[status(thm)],[18013, 35, 18010])).
% 5.31/4.19 tff(18015,plain,
% 5.31/4.19 (until27(s1)),
% 5.31/4.19 inference(unit_resolution,[status(thm)],[18014, 18000])).
% 5.31/4.19 tff(18016,plain,
% 5.31/4.19 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s1) | node26(s1) | (~until27(s1)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s1) | node26(s1) | (~until27(s1)))),
% 5.31/4.19 inference(rewrite,[status(thm)],[])).
% 5.31/4.19 tff(18017,plain,
% 5.31/4.19 ((node26(s1) | (~until27(s1)) | xuntil28(s1)) <=> (xuntil28(s1) | node26(s1) | (~until27(s1)))),
% 5.31/4.19 inference(rewrite,[status(thm)],[])).
% 5.31/4.19 tff(18018,plain,
% 5.31/4.19 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s1) | (~until27(s1)) | xuntil28(s1))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s1) | node26(s1) | (~until27(s1))))),
% 5.31/4.19 inference(monotonicity,[status(thm)],[18017])).
% 5.31/4.19 tff(18019,plain,
% 5.31/4.19 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s1) | (~until27(s1)) | xuntil28(s1))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s1) | node26(s1) | (~until27(s1)))),
% 5.31/4.19 inference(transitivity,[status(thm)],[18018, 18016])).
% 5.31/4.19 tff(18020,plain,
% 5.31/4.19 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s1) | (~until27(s1)) | xuntil28(s1))),
% 5.31/4.19 inference(quant_inst,[status(thm)],[])).
% 5.31/4.19 tff(18021,plain,
% 5.31/4.19 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s1) | node26(s1) | (~until27(s1))),
% 5.31/4.19 inference(modus_ponens,[status(thm)],[18020, 18019])).
% 5.31/4.19 tff(18022,plain,
% 5.31/4.19 (xuntil28(s1) | node26(s1)),
% 5.31/4.19 inference(unit_resolution,[status(thm)],[18021, 17992, 18015])).
% 5.31/4.19 tff(18023,plain,
% 5.31/4.19 (xuntil28(s1)),
% 5.31/4.19 inference(unit_resolution,[status(thm)],[18022, 17975])).
% 5.31/4.19 tff(18024,plain,
% 5.31/4.19 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s1, s2)) | (~xuntil28(s1)) | until27(s2))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s1, s2)) | (~xuntil28(s1)) | until27(s2))),
% 5.31/4.19 inference(rewrite,[status(thm)],[])).
% 5.31/4.19 tff(18025,plain,
% 5.31/4.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s1, s2)) | (~xuntil28(s1)) | until27(s2))),
% 5.31/4.19 inference(quant_inst,[status(thm)],[])).
% 5.31/4.19 tff(18026,plain,
% 5.31/4.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s1, s2)) | (~xuntil28(s1)) | until27(s2)),
% 5.31/4.19 inference(modus_ponens,[status(thm)],[18025, 18024])).
% 5.31/4.19 tff(18027,plain,
% 5.31/4.19 ((~xuntil28(s1)) | until27(s2)),
% 5.31/4.19 inference(unit_resolution,[status(thm)],[18026, 278, 18010])).
% 5.31/4.19 tff(18028,plain,
% 5.31/4.19 (until27(s2)),
% 5.31/4.19 inference(unit_resolution,[status(thm)],[18027, 18023])).
% 5.31/4.19 tff(18029,plain,
% 5.31/4.19 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s2) | node26(s2) | (~until27(s2)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s2) | node26(s2) | (~until27(s2)))),
% 5.31/4.19 inference(rewrite,[status(thm)],[])).
% 5.31/4.19 tff(18030,plain,
% 5.31/4.19 ((node26(s2) | (~until27(s2)) | xuntil28(s2)) <=> (xuntil28(s2) | node26(s2) | (~until27(s2)))),
% 5.31/4.19 inference(rewrite,[status(thm)],[])).
% 5.31/4.19 tff(18031,plain,
% 5.31/4.19 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s2) | (~until27(s2)) | xuntil28(s2))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s2) | node26(s2) | (~until27(s2))))),
% 5.31/4.19 inference(monotonicity,[status(thm)],[18030])).
% 5.31/4.19 tff(18032,plain,
% 5.31/4.19 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s2) | (~until27(s2)) | xuntil28(s2))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s2) | node26(s2) | (~until27(s2)))),
% 5.31/4.19 inference(transitivity,[status(thm)],[18031, 18029])).
% 5.31/4.19 tff(18033,plain,
% 5.31/4.19 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s2) | (~until27(s2)) | xuntil28(s2))),
% 5.31/4.19 inference(quant_inst,[status(thm)],[])).
% 5.31/4.19 tff(18034,plain,
% 5.31/4.19 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s2) | node26(s2) | (~until27(s2))),
% 5.31/4.19 inference(modus_ponens,[status(thm)],[18033, 18032])).
% 5.31/4.19 tff(18035,plain,
% 5.31/4.19 (xuntil28(s2)),
% 5.31/4.19 inference(unit_resolution,[status(thm)],[18034, 17992, 18028, 17966])).
% 5.31/4.20 tff(18036,plain,
% 5.31/4.20 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s2, s3)) | (~xuntil28(s2)) | until27(s3))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s2, s3)) | (~xuntil28(s2)) | until27(s3))),
% 5.31/4.20 inference(rewrite,[status(thm)],[])).
% 5.31/4.20 tff(18037,plain,
% 5.31/4.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s2, s3)) | (~xuntil28(s2)) | until27(s3))),
% 5.31/4.20 inference(quant_inst,[status(thm)],[])).
% 5.31/4.20 tff(18038,plain,
% 5.31/4.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s2, s3)) | (~xuntil28(s2)) | until27(s3)),
% 5.31/4.20 inference(modus_ponens,[status(thm)],[18037, 18036])).
% 5.31/4.20 tff(18039,plain,
% 5.31/4.20 ((~xuntil28(s2)) | until27(s3)),
% 5.31/4.20 inference(unit_resolution,[status(thm)],[18038, 480, 18010])).
% 5.31/4.20 tff(18040,plain,
% 5.31/4.20 (until27(s3)),
% 5.31/4.20 inference(unit_resolution,[status(thm)],[18039, 18035])).
% 5.31/4.20 tff(18041,plain,
% 5.31/4.20 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s3) | (~node26(s3)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s3) | (~node26(s3)))),
% 5.31/4.20 inference(rewrite,[status(thm)],[])).
% 5.31/4.20 tff(18042,plain,
% 5.31/4.20 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s3) | (~node26(s3)))),
% 5.31/4.20 inference(quant_inst,[status(thm)],[])).
% 5.31/4.20 tff(18043,plain,
% 5.31/4.20 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s3) | (~node26(s3))),
% 5.31/4.20 inference(modus_ponens,[status(thm)],[18042, 18041])).
% 5.31/4.20 tff(18044,plain,
% 5.31/4.20 (~node26(s3)),
% 5.31/4.20 inference(unit_resolution,[status(thm)],[18043, 16500, 17957])).
% 5.31/4.20 tff(18045,plain,
% 5.31/4.20 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s3) | node26(s3) | (~until27(s3)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s3) | node26(s3) | (~until27(s3)))),
% 5.31/4.20 inference(rewrite,[status(thm)],[])).
% 5.31/4.20 tff(18046,plain,
% 5.31/4.20 ((node26(s3) | (~until27(s3)) | xuntil28(s3)) <=> (xuntil28(s3) | node26(s3) | (~until27(s3)))),
% 5.31/4.20 inference(rewrite,[status(thm)],[])).
% 5.31/4.20 tff(18047,plain,
% 5.31/4.20 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s3) | (~until27(s3)) | xuntil28(s3))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s3) | node26(s3) | (~until27(s3))))),
% 5.31/4.20 inference(monotonicity,[status(thm)],[18046])).
% 5.31/4.20 tff(18048,plain,
% 5.31/4.20 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s3) | (~until27(s3)) | xuntil28(s3))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s3) | node26(s3) | (~until27(s3)))),
% 5.31/4.20 inference(transitivity,[status(thm)],[18047, 18045])).
% 5.31/4.20 tff(18049,plain,
% 5.31/4.20 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s3) | (~until27(s3)) | xuntil28(s3))),
% 5.31/4.20 inference(quant_inst,[status(thm)],[])).
% 5.31/4.20 tff(18050,plain,
% 5.31/4.20 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s3) | node26(s3) | (~until27(s3))),
% 5.31/4.20 inference(modus_ponens,[status(thm)],[18049, 18048])).
% 5.31/4.20 tff(18051,plain,
% 5.31/4.20 (xuntil28(s3) | (~until27(s3))),
% 5.31/4.20 inference(unit_resolution,[status(thm)],[18050, 17992, 18044])).
% 5.31/4.20 tff(18052,plain,
% 5.31/4.20 (xuntil28(s3)),
% 5.31/4.20 inference(unit_resolution,[status(thm)],[18051, 18040])).
% 5.31/4.20 tff(18053,plain,
% 5.31/4.20 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s3, s4)) | (~xuntil28(s3)) | until27(s4))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s3, s4)) | (~xuntil28(s3)) | until27(s4))),
% 5.31/4.20 inference(rewrite,[status(thm)],[])).
% 5.31/4.20 tff(18054,plain,
% 5.31/4.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s3, s4)) | (~xuntil28(s3)) | until27(s4))),
% 5.31/4.20 inference(quant_inst,[status(thm)],[])).
% 5.31/4.20 tff(18055,plain,
% 5.31/4.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s3, s4)) | (~xuntil28(s3)) | until27(s4)),
% 5.31/4.20 inference(modus_ponens,[status(thm)],[18054, 18053])).
% 5.31/4.20 tff(18056,plain,
% 5.31/4.20 ((~xuntil28(s3)) | until27(s4)),
% 5.31/4.20 inference(unit_resolution,[status(thm)],[18055, 599, 18010])).
% 5.31/4.20 tff(18057,plain,
% 5.31/4.20 (until27(s4)),
% 5.31/4.20 inference(unit_resolution,[status(thm)],[18056, 18052])).
% 5.31/4.20 tff(18058,plain,
% 5.31/4.20 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s4) | (~node26(s4)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s4) | (~node26(s4)))),
% 5.31/4.20 inference(rewrite,[status(thm)],[])).
% 5.31/4.20 tff(18059,plain,
% 5.31/4.20 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s4) | (~node26(s4)))),
% 5.31/4.20 inference(quant_inst,[status(thm)],[])).
% 5.31/4.20 tff(18060,plain,
% 5.31/4.20 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s4) | (~node26(s4))),
% 5.31/4.20 inference(modus_ponens,[status(thm)],[18059, 18058])).
% 5.31/4.20 tff(18061,plain,
% 5.31/4.20 (~node26(s4)),
% 5.31/4.20 inference(unit_resolution,[status(thm)],[18060, 16500, 17952])).
% 5.31/4.20 tff(18062,plain,
% 5.31/4.20 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s4) | node26(s4) | (~until27(s4)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s4) | node26(s4) | (~until27(s4)))),
% 5.31/4.20 inference(rewrite,[status(thm)],[])).
% 5.31/4.20 tff(18063,plain,
% 5.31/4.20 ((node26(s4) | (~until27(s4)) | xuntil28(s4)) <=> (xuntil28(s4) | node26(s4) | (~until27(s4)))),
% 5.31/4.20 inference(rewrite,[status(thm)],[])).
% 5.31/4.20 tff(18064,plain,
% 5.31/4.20 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s4) | (~until27(s4)) | xuntil28(s4))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s4) | node26(s4) | (~until27(s4))))),
% 5.31/4.20 inference(monotonicity,[status(thm)],[18063])).
% 5.31/4.20 tff(18065,plain,
% 5.31/4.20 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s4) | (~until27(s4)) | xuntil28(s4))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s4) | node26(s4) | (~until27(s4)))),
% 5.31/4.20 inference(transitivity,[status(thm)],[18064, 18062])).
% 5.31/4.20 tff(18066,plain,
% 5.31/4.20 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s4) | (~until27(s4)) | xuntil28(s4))),
% 5.31/4.20 inference(quant_inst,[status(thm)],[])).
% 5.31/4.20 tff(18067,plain,
% 5.31/4.20 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s4) | node26(s4) | (~until27(s4))),
% 5.31/4.20 inference(modus_ponens,[status(thm)],[18066, 18065])).
% 5.31/4.20 tff(18068,plain,
% 5.31/4.20 (xuntil28(s4) | (~until27(s4))),
% 5.31/4.20 inference(unit_resolution,[status(thm)],[18067, 17992, 18061])).
% 5.31/4.20 tff(18069,plain,
% 5.31/4.20 (xuntil28(s4)),
% 5.31/4.20 inference(unit_resolution,[status(thm)],[18068, 18057])).
% 5.31/4.20 tff(18070,plain,
% 5.31/4.20 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s4, s5)) | (~xuntil28(s4)) | until27(s5))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s4, s5)) | (~xuntil28(s4)) | until27(s5))),
% 5.31/4.20 inference(rewrite,[status(thm)],[])).
% 5.31/4.20 tff(18071,plain,
% 5.31/4.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s4, s5)) | (~xuntil28(s4)) | until27(s5))),
% 5.31/4.20 inference(quant_inst,[status(thm)],[])).
% 5.31/4.20 tff(18072,plain,
% 5.31/4.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s4, s5)) | (~xuntil28(s4)) | until27(s5)),
% 5.31/4.20 inference(modus_ponens,[status(thm)],[18071, 18070])).
% 5.31/4.20 tff(18073,plain,
% 5.31/4.20 ((~xuntil28(s4)) | until27(s5)),
% 5.31/4.20 inference(unit_resolution,[status(thm)],[18072, 708, 18010])).
% 5.31/4.20 tff(18074,plain,
% 5.31/4.20 (until27(s5)),
% 5.31/4.20 inference(unit_resolution,[status(thm)],[18073, 18069])).
% 5.31/4.20 tff(18075,plain,
% 5.31/4.20 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s5) | node26(s5) | (~until27(s5)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s5) | node26(s5) | (~until27(s5)))),
% 5.31/4.20 inference(rewrite,[status(thm)],[])).
% 5.31/4.20 tff(18076,plain,
% 5.31/4.20 ((node26(s5) | (~until27(s5)) | xuntil28(s5)) <=> (xuntil28(s5) | node26(s5) | (~until27(s5)))),
% 5.31/4.20 inference(rewrite,[status(thm)],[])).
% 5.31/4.20 tff(18077,plain,
% 5.31/4.20 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s5) | (~until27(s5)) | xuntil28(s5))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s5) | node26(s5) | (~until27(s5))))),
% 5.31/4.20 inference(monotonicity,[status(thm)],[18076])).
% 5.31/4.20 tff(18078,plain,
% 5.31/4.20 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s5) | (~until27(s5)) | xuntil28(s5))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s5) | node26(s5) | (~until27(s5)))),
% 5.31/4.20 inference(transitivity,[status(thm)],[18077, 18075])).
% 5.31/4.20 tff(18079,plain,
% 5.31/4.20 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s5) | (~until27(s5)) | xuntil28(s5))),
% 5.31/4.20 inference(quant_inst,[status(thm)],[])).
% 5.31/4.20 tff(18080,plain,
% 5.31/4.20 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s5) | node26(s5) | (~until27(s5))),
% 5.31/4.20 inference(modus_ponens,[status(thm)],[18079, 18078])).
% 5.31/4.20 tff(18081,plain,
% 5.31/4.20 (xuntil28(s5)),
% 5.31/4.20 inference(unit_resolution,[status(thm)],[18080, 17992, 18074, 17945])).
% 5.31/4.20 tff(18082,plain,
% 5.31/4.20 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s5, s6)) | (~xuntil28(s5)) | until27(s6))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s5, s6)) | (~xuntil28(s5)) | until27(s6))),
% 5.31/4.20 inference(rewrite,[status(thm)],[])).
% 5.31/4.20 tff(18083,plain,
% 5.31/4.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s5, s6)) | (~xuntil28(s5)) | until27(s6))),
% 5.31/4.20 inference(quant_inst,[status(thm)],[])).
% 5.31/4.20 tff(18084,plain,
% 5.31/4.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s5, s6)) | (~xuntil28(s5)) | until27(s6)),
% 5.31/4.20 inference(modus_ponens,[status(thm)],[18083, 18082])).
% 5.31/4.20 tff(18085,plain,
% 5.31/4.20 ((~xuntil28(s5)) | until27(s6)),
% 5.31/4.20 inference(unit_resolution,[status(thm)],[18084, 874, 18010])).
% 5.31/4.20 tff(18086,plain,
% 5.31/4.20 (until27(s6)),
% 5.31/4.20 inference(unit_resolution,[status(thm)],[18085, 18081])).
% 5.31/4.20 tff(18087,plain,
% 5.31/4.20 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s6) | node26(s6) | (~until27(s6)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s6) | node26(s6) | (~until27(s6)))),
% 5.31/4.20 inference(rewrite,[status(thm)],[])).
% 5.31/4.20 tff(18088,plain,
% 5.31/4.20 ((node26(s6) | (~until27(s6)) | xuntil28(s6)) <=> (xuntil28(s6) | node26(s6) | (~until27(s6)))),
% 5.31/4.20 inference(rewrite,[status(thm)],[])).
% 5.31/4.20 tff(18089,plain,
% 5.31/4.20 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s6) | (~until27(s6)) | xuntil28(s6))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s6) | node26(s6) | (~until27(s6))))),
% 5.31/4.20 inference(monotonicity,[status(thm)],[18088])).
% 5.31/4.20 tff(18090,plain,
% 5.31/4.20 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s6) | (~until27(s6)) | xuntil28(s6))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s6) | node26(s6) | (~until27(s6)))),
% 5.31/4.20 inference(transitivity,[status(thm)],[18089, 18087])).
% 5.31/4.20 tff(18091,plain,
% 5.31/4.20 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s6) | (~until27(s6)) | xuntil28(s6))),
% 5.31/4.20 inference(quant_inst,[status(thm)],[])).
% 5.31/4.20 tff(18092,plain,
% 5.31/4.20 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s6) | node26(s6) | (~until27(s6))),
% 5.31/4.20 inference(modus_ponens,[status(thm)],[18091, 18090])).
% 5.31/4.20 tff(18093,plain,
% 5.31/4.20 (xuntil28(s6) | node26(s6)),
% 5.31/4.20 inference(unit_resolution,[status(thm)],[18092, 17992, 18086])).
% 5.31/4.20 tff(18094,plain,
% 5.31/4.20 (xuntil28(s6)),
% 5.31/4.20 inference(unit_resolution,[status(thm)],[18093, 17941])).
% 5.31/4.20 tff(18095,plain,
% 5.31/4.20 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s6, s7)) | (~xuntil28(s6)) | until27(s7))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s6, s7)) | (~xuntil28(s6)) | until27(s7))),
% 5.31/4.20 inference(rewrite,[status(thm)],[])).
% 5.31/4.20 tff(18096,plain,
% 5.31/4.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s6, s7)) | (~xuntil28(s6)) | until27(s7))),
% 5.31/4.20 inference(quant_inst,[status(thm)],[])).
% 5.31/4.20 tff(18097,plain,
% 5.31/4.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s6, s7)) | (~xuntil28(s6)) | until27(s7)),
% 5.31/4.20 inference(modus_ponens,[status(thm)],[18096, 18095])).
% 5.31/4.20 tff(18098,plain,
% 5.31/4.20 ((~xuntil28(s6)) | until27(s7)),
% 5.31/4.20 inference(unit_resolution,[status(thm)],[18097, 958, 18010])).
% 5.31/4.20 tff(18099,plain,
% 5.31/4.20 (until27(s7)),
% 5.31/4.20 inference(unit_resolution,[status(thm)],[18098, 18094])).
% 5.31/4.20 tff(18100,plain,
% 5.31/4.20 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s7) | node26(s7) | (~until27(s7)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s7) | node26(s7) | (~until27(s7)))),
% 5.31/4.20 inference(rewrite,[status(thm)],[])).
% 5.31/4.20 tff(18101,plain,
% 5.31/4.20 ((node26(s7) | (~until27(s7)) | xuntil28(s7)) <=> (xuntil28(s7) | node26(s7) | (~until27(s7)))),
% 5.31/4.20 inference(rewrite,[status(thm)],[])).
% 5.31/4.20 tff(18102,plain,
% 5.31/4.20 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s7) | (~until27(s7)) | xuntil28(s7))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s7) | node26(s7) | (~until27(s7))))),
% 5.31/4.20 inference(monotonicity,[status(thm)],[18101])).
% 5.31/4.20 tff(18103,plain,
% 5.31/4.20 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s7) | (~until27(s7)) | xuntil28(s7))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s7) | node26(s7) | (~until27(s7)))),
% 5.31/4.20 inference(transitivity,[status(thm)],[18102, 18100])).
% 5.31/4.20 tff(18104,plain,
% 5.31/4.20 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s7) | (~until27(s7)) | xuntil28(s7))),
% 5.31/4.20 inference(quant_inst,[status(thm)],[])).
% 5.31/4.20 tff(18105,plain,
% 5.31/4.20 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s7) | node26(s7) | (~until27(s7))),
% 5.31/4.20 inference(modus_ponens,[status(thm)],[18104, 18103])).
% 5.31/4.20 tff(18106,plain,
% 5.31/4.20 (xuntil28(s7)),
% 5.31/4.20 inference(unit_resolution,[status(thm)],[18105, 17992, 18099, 17932])).
% 5.31/4.20 tff(18107,plain,
% 5.31/4.20 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s7, s8)) | (~xuntil28(s7)) | until27(s8))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s7, s8)) | (~xuntil28(s7)) | until27(s8))),
% 5.31/4.20 inference(rewrite,[status(thm)],[])).
% 5.31/4.20 tff(18108,plain,
% 5.31/4.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s7, s8)) | (~xuntil28(s7)) | until27(s8))),
% 5.31/4.20 inference(quant_inst,[status(thm)],[])).
% 5.31/4.20 tff(18109,plain,
% 5.31/4.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s7, s8)) | (~xuntil28(s7)) | until27(s8)),
% 5.31/4.20 inference(modus_ponens,[status(thm)],[18108, 18107])).
% 5.31/4.20 tff(18110,plain,
% 5.31/4.20 ((~xuntil28(s7)) | until27(s8)),
% 5.31/4.20 inference(unit_resolution,[status(thm)],[18109, 1043, 18010])).
% 5.31/4.20 tff(18111,plain,
% 5.31/4.20 (until27(s8)),
% 5.31/4.20 inference(unit_resolution,[status(thm)],[18110, 18106])).
% 5.31/4.20 tff(18112,plain,
% 5.31/4.20 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s8) | (~node26(s8)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s8) | (~node26(s8)))),
% 5.31/4.20 inference(rewrite,[status(thm)],[])).
% 5.31/4.20 tff(18113,plain,
% 5.31/4.20 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s8) | (~node26(s8)))),
% 5.31/4.20 inference(quant_inst,[status(thm)],[])).
% 5.31/4.20 tff(18114,plain,
% 5.31/4.20 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s8) | (~node26(s8))),
% 5.31/4.20 inference(modus_ponens,[status(thm)],[18113, 18112])).
% 5.31/4.20 tff(18115,plain,
% 5.31/4.20 (~node26(s8)),
% 5.31/4.20 inference(unit_resolution,[status(thm)],[18114, 16500, 17923])).
% 5.31/4.20 tff(18116,plain,
% 5.31/4.20 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s8) | node26(s8) | (~until27(s8)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s8) | node26(s8) | (~until27(s8)))),
% 5.31/4.20 inference(rewrite,[status(thm)],[])).
% 5.31/4.20 tff(18117,plain,
% 5.31/4.20 ((node26(s8) | (~until27(s8)) | xuntil28(s8)) <=> (xuntil28(s8) | node26(s8) | (~until27(s8)))),
% 5.31/4.20 inference(rewrite,[status(thm)],[])).
% 5.31/4.20 tff(18118,plain,
% 5.31/4.20 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s8) | (~until27(s8)) | xuntil28(s8))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s8) | node26(s8) | (~until27(s8))))),
% 5.31/4.20 inference(monotonicity,[status(thm)],[18117])).
% 5.31/4.20 tff(18119,plain,
% 5.31/4.20 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s8) | (~until27(s8)) | xuntil28(s8))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s8) | node26(s8) | (~until27(s8)))),
% 5.31/4.20 inference(transitivity,[status(thm)],[18118, 18116])).
% 5.31/4.20 tff(18120,plain,
% 5.31/4.20 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s8) | (~until27(s8)) | xuntil28(s8))),
% 5.31/4.20 inference(quant_inst,[status(thm)],[])).
% 5.31/4.20 tff(18121,plain,
% 5.31/4.20 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s8) | node26(s8) | (~until27(s8))),
% 5.31/4.20 inference(modus_ponens,[status(thm)],[18120, 18119])).
% 5.31/4.20 tff(18122,plain,
% 5.31/4.20 (xuntil28(s8) | (~until27(s8))),
% 5.31/4.20 inference(unit_resolution,[status(thm)],[18121, 17992, 18115])).
% 5.31/4.20 tff(18123,plain,
% 5.31/4.20 (xuntil28(s8)),
% 5.31/4.20 inference(unit_resolution,[status(thm)],[18122, 18111])).
% 5.31/4.20 tff(18124,plain,
% 5.31/4.20 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s8, s9)) | (~xuntil28(s8)) | until27(s9))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s8, s9)) | (~xuntil28(s8)) | until27(s9))),
% 5.31/4.20 inference(rewrite,[status(thm)],[])).
% 5.31/4.20 tff(18125,plain,
% 5.31/4.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s8, s9)) | (~xuntil28(s8)) | until27(s9))),
% 5.31/4.20 inference(quant_inst,[status(thm)],[])).
% 5.31/4.20 tff(18126,plain,
% 5.31/4.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s8, s9)) | (~xuntil28(s8)) | until27(s9)),
% 5.31/4.20 inference(modus_ponens,[status(thm)],[18125, 18124])).
% 5.31/4.20 tff(18127,plain,
% 5.31/4.20 ((~xuntil28(s8)) | until27(s9)),
% 5.31/4.20 inference(unit_resolution,[status(thm)],[18126, 1132, 18010])).
% 5.31/4.20 tff(18128,plain,
% 5.31/4.20 (until27(s9)),
% 5.31/4.20 inference(unit_resolution,[status(thm)],[18127, 18123])).
% 5.31/4.20 tff(18129,plain,
% 5.31/4.20 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s9) | node26(s9) | (~until27(s9)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s9) | node26(s9) | (~until27(s9)))),
% 5.31/4.20 inference(rewrite,[status(thm)],[])).
% 5.31/4.20 tff(18130,plain,
% 5.31/4.20 ((node26(s9) | (~until27(s9)) | xuntil28(s9)) <=> (xuntil28(s9) | node26(s9) | (~until27(s9)))),
% 5.31/4.20 inference(rewrite,[status(thm)],[])).
% 5.31/4.20 tff(18131,plain,
% 5.31/4.20 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s9) | (~until27(s9)) | xuntil28(s9))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s9) | node26(s9) | (~until27(s9))))),
% 5.31/4.20 inference(monotonicity,[status(thm)],[18130])).
% 5.31/4.20 tff(18132,plain,
% 5.31/4.20 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s9) | (~until27(s9)) | xuntil28(s9))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s9) | node26(s9) | (~until27(s9)))),
% 5.31/4.20 inference(transitivity,[status(thm)],[18131, 18129])).
% 5.31/4.20 tff(18133,plain,
% 5.31/4.20 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s9) | (~until27(s9)) | xuntil28(s9))),
% 5.31/4.20 inference(quant_inst,[status(thm)],[])).
% 5.31/4.20 tff(18134,plain,
% 5.31/4.20 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s9) | node26(s9) | (~until27(s9))),
% 5.31/4.20 inference(modus_ponens,[status(thm)],[18133, 18132])).
% 5.31/4.20 tff(18135,plain,
% 5.31/4.20 (xuntil28(s9)),
% 5.31/4.20 inference(unit_resolution,[status(thm)],[18134, 17992, 18128, 17916])).
% 5.31/4.20 tff(18136,plain,
% 5.31/4.20 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s9, s10)) | (~xuntil28(s9)) | until27(s10))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s9, s10)) | (~xuntil28(s9)) | until27(s10))),
% 5.31/4.20 inference(rewrite,[status(thm)],[])).
% 5.31/4.20 tff(18137,plain,
% 5.31/4.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s9, s10)) | (~xuntil28(s9)) | until27(s10))),
% 5.31/4.20 inference(quant_inst,[status(thm)],[])).
% 5.31/4.20 tff(18138,plain,
% 5.31/4.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s9, s10)) | (~xuntil28(s9)) | until27(s10)),
% 5.31/4.20 inference(modus_ponens,[status(thm)],[18137, 18136])).
% 5.31/4.20 tff(18139,plain,
% 5.31/4.20 ((~xuntil28(s9)) | until27(s10)),
% 5.31/4.20 inference(unit_resolution,[status(thm)],[18138, 1199, 18010])).
% 5.31/4.20 tff(18140,plain,
% 5.31/4.20 (until27(s10)),
% 5.31/4.20 inference(unit_resolution,[status(thm)],[18139, 18135])).
% 5.31/4.20 tff(18141,plain,
% 5.31/4.20 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s10) | node26(s10) | (~until27(s10)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s10) | node26(s10) | (~until27(s10)))),
% 5.31/4.20 inference(rewrite,[status(thm)],[])).
% 5.31/4.20 tff(18142,plain,
% 5.31/4.20 ((node26(s10) | (~until27(s10)) | xuntil28(s10)) <=> (xuntil28(s10) | node26(s10) | (~until27(s10)))),
% 5.31/4.20 inference(rewrite,[status(thm)],[])).
% 5.31/4.20 tff(18143,plain,
% 5.31/4.20 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s10) | (~until27(s10)) | xuntil28(s10))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s10) | node26(s10) | (~until27(s10))))),
% 5.31/4.20 inference(monotonicity,[status(thm)],[18142])).
% 5.31/4.20 tff(18144,plain,
% 5.31/4.20 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s10) | (~until27(s10)) | xuntil28(s10))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s10) | node26(s10) | (~until27(s10)))),
% 5.31/4.20 inference(transitivity,[status(thm)],[18143, 18141])).
% 5.31/4.20 tff(18145,plain,
% 5.31/4.20 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s10) | (~until27(s10)) | xuntil28(s10))),
% 5.31/4.20 inference(quant_inst,[status(thm)],[])).
% 5.31/4.20 tff(18146,plain,
% 5.31/4.20 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s10) | node26(s10) | (~until27(s10))),
% 5.31/4.20 inference(modus_ponens,[status(thm)],[18145, 18144])).
% 5.31/4.20 tff(18147,plain,
% 5.31/4.20 (xuntil28(s10) | node26(s10)),
% 5.31/4.20 inference(unit_resolution,[status(thm)],[18146, 17992, 18140])).
% 5.31/4.20 tff(18148,plain,
% 5.31/4.20 (xuntil28(s10)),
% 5.31/4.20 inference(unit_resolution,[status(thm)],[18147, 17912])).
% 5.31/4.20 tff(18149,plain,
% 5.31/4.20 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s10, s11)) | (~xuntil28(s10)) | until27(s11))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s10, s11)) | (~xuntil28(s10)) | until27(s11))),
% 5.31/4.20 inference(rewrite,[status(thm)],[])).
% 5.31/4.20 tff(18150,plain,
% 5.31/4.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s10, s11)) | (~xuntil28(s10)) | until27(s11))),
% 5.31/4.20 inference(quant_inst,[status(thm)],[])).
% 5.31/4.20 tff(18151,plain,
% 5.31/4.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s10, s11)) | (~xuntil28(s10)) | until27(s11)),
% 5.31/4.20 inference(modus_ponens,[status(thm)],[18150, 18149])).
% 5.31/4.20 tff(18152,plain,
% 5.31/4.20 ((~xuntil28(s10)) | until27(s11)),
% 5.31/4.20 inference(unit_resolution,[status(thm)],[18151, 1298, 18010])).
% 5.31/4.20 tff(18153,plain,
% 5.31/4.20 (until27(s11)),
% 5.31/4.20 inference(unit_resolution,[status(thm)],[18152, 18148])).
% 5.31/4.20 tff(18154,plain,
% 5.31/4.20 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s11) | node26(s11) | (~until27(s11)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s11) | node26(s11) | (~until27(s11)))),
% 5.31/4.20 inference(rewrite,[status(thm)],[])).
% 5.31/4.20 tff(18155,plain,
% 5.31/4.20 ((node26(s11) | (~until27(s11)) | xuntil28(s11)) <=> (xuntil28(s11) | node26(s11) | (~until27(s11)))),
% 5.31/4.20 inference(rewrite,[status(thm)],[])).
% 5.31/4.20 tff(18156,plain,
% 5.31/4.20 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s11) | (~until27(s11)) | xuntil28(s11))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s11) | node26(s11) | (~until27(s11))))),
% 5.31/4.20 inference(monotonicity,[status(thm)],[18155])).
% 5.31/4.20 tff(18157,plain,
% 5.31/4.20 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s11) | (~until27(s11)) | xuntil28(s11))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s11) | node26(s11) | (~until27(s11)))),
% 5.31/4.20 inference(transitivity,[status(thm)],[18156, 18154])).
% 5.31/4.20 tff(18158,plain,
% 5.31/4.20 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s11) | (~until27(s11)) | xuntil28(s11))),
% 5.31/4.20 inference(quant_inst,[status(thm)],[])).
% 5.31/4.20 tff(18159,plain,
% 5.31/4.20 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s11) | node26(s11) | (~until27(s11))),
% 5.31/4.20 inference(modus_ponens,[status(thm)],[18158, 18157])).
% 5.31/4.20 tff(18160,plain,
% 5.31/4.20 (xuntil28(s11)),
% 5.31/4.20 inference(unit_resolution,[status(thm)],[18159, 17992, 18153, 17903])).
% 5.31/4.20 tff(18161,plain,
% 5.31/4.20 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s11, s12)) | (~xuntil28(s11)) | until27(s12))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s11, s12)) | (~xuntil28(s11)) | until27(s12))),
% 5.31/4.20 inference(rewrite,[status(thm)],[])).
% 5.31/4.20 tff(18162,plain,
% 5.31/4.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s11, s12)) | (~xuntil28(s11)) | until27(s12))),
% 5.31/4.20 inference(quant_inst,[status(thm)],[])).
% 5.31/4.20 tff(18163,plain,
% 5.31/4.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s11, s12)) | (~xuntil28(s11)) | until27(s12)),
% 5.31/4.20 inference(modus_ponens,[status(thm)],[18162, 18161])).
% 5.31/4.20 tff(18164,plain,
% 5.31/4.20 ((~xuntil28(s11)) | until27(s12)),
% 5.31/4.20 inference(unit_resolution,[status(thm)],[18163, 1376, 18010])).
% 5.31/4.20 tff(18165,plain,
% 5.31/4.20 (until27(s12)),
% 5.31/4.20 inference(unit_resolution,[status(thm)],[18164, 18160])).
% 5.31/4.20 tff(18166,plain,
% 5.31/4.20 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s12) | (~node26(s12)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s12) | (~node26(s12)))),
% 5.31/4.20 inference(rewrite,[status(thm)],[])).
% 5.31/4.20 tff(18167,plain,
% 5.31/4.20 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s12) | (~node26(s12)))),
% 5.31/4.20 inference(quant_inst,[status(thm)],[])).
% 5.31/4.20 tff(18168,plain,
% 5.31/4.20 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s12) | (~node26(s12))),
% 5.31/4.20 inference(modus_ponens,[status(thm)],[18167, 18166])).
% 5.31/4.20 tff(18169,plain,
% 5.31/4.20 (~node26(s12)),
% 5.31/4.20 inference(unit_resolution,[status(thm)],[18168, 16500, 17894])).
% 5.31/4.20 tff(18170,plain,
% 5.31/4.20 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s12) | node26(s12) | (~until27(s12)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s12) | node26(s12) | (~until27(s12)))),
% 5.31/4.20 inference(rewrite,[status(thm)],[])).
% 5.31/4.20 tff(18171,plain,
% 5.31/4.20 ((node26(s12) | (~until27(s12)) | xuntil28(s12)) <=> (xuntil28(s12) | node26(s12) | (~until27(s12)))),
% 5.31/4.20 inference(rewrite,[status(thm)],[])).
% 5.31/4.20 tff(18172,plain,
% 5.31/4.20 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s12) | (~until27(s12)) | xuntil28(s12))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s12) | node26(s12) | (~until27(s12))))),
% 5.31/4.20 inference(monotonicity,[status(thm)],[18171])).
% 5.31/4.20 tff(18173,plain,
% 5.31/4.20 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s12) | (~until27(s12)) | xuntil28(s12))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s12) | node26(s12) | (~until27(s12)))),
% 5.31/4.20 inference(transitivity,[status(thm)],[18172, 18170])).
% 5.31/4.20 tff(18174,plain,
% 5.31/4.20 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s12) | (~until27(s12)) | xuntil28(s12))),
% 5.31/4.20 inference(quant_inst,[status(thm)],[])).
% 5.31/4.20 tff(18175,plain,
% 5.31/4.20 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s12) | node26(s12) | (~until27(s12))),
% 5.31/4.20 inference(modus_ponens,[status(thm)],[18174, 18173])).
% 5.31/4.20 tff(18176,plain,
% 5.31/4.20 (xuntil28(s12) | (~until27(s12))),
% 5.31/4.20 inference(unit_resolution,[status(thm)],[18175, 17992, 18169])).
% 5.31/4.20 tff(18177,plain,
% 5.31/4.20 (xuntil28(s12)),
% 5.31/4.20 inference(unit_resolution,[status(thm)],[18176, 18165])).
% 5.31/4.20 tff(18178,plain,
% 5.31/4.20 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s12, s13)) | (~xuntil28(s12)) | until27(s13))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s12, s13)) | (~xuntil28(s12)) | until27(s13))),
% 5.31/4.20 inference(rewrite,[status(thm)],[])).
% 5.31/4.20 tff(18179,plain,
% 5.31/4.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s12, s13)) | (~xuntil28(s12)) | until27(s13))),
% 5.31/4.20 inference(quant_inst,[status(thm)],[])).
% 5.31/4.20 tff(18180,plain,
% 5.31/4.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s12, s13)) | (~xuntil28(s12)) | until27(s13)),
% 5.31/4.20 inference(modus_ponens,[status(thm)],[18179, 18178])).
% 5.31/4.20 tff(18181,plain,
% 5.31/4.20 ((~xuntil28(s12)) | until27(s13)),
% 5.31/4.20 inference(unit_resolution,[status(thm)],[18180, 1437, 18010])).
% 5.31/4.20 tff(18182,plain,
% 5.31/4.20 (until27(s13)),
% 5.31/4.20 inference(unit_resolution,[status(thm)],[18181, 18177])).
% 5.31/4.20 tff(18183,plain,
% 5.31/4.20 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s13) | node26(s13) | (~until27(s13)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s13) | node26(s13) | (~until27(s13)))),
% 5.31/4.20 inference(rewrite,[status(thm)],[])).
% 5.31/4.20 tff(18184,plain,
% 5.31/4.20 ((node26(s13) | (~until27(s13)) | xuntil28(s13)) <=> (xuntil28(s13) | node26(s13) | (~until27(s13)))),
% 5.31/4.20 inference(rewrite,[status(thm)],[])).
% 5.31/4.20 tff(18185,plain,
% 5.31/4.20 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s13) | (~until27(s13)) | xuntil28(s13))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s13) | node26(s13) | (~until27(s13))))),
% 5.31/4.20 inference(monotonicity,[status(thm)],[18184])).
% 5.31/4.20 tff(18186,plain,
% 5.31/4.20 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s13) | (~until27(s13)) | xuntil28(s13))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s13) | node26(s13) | (~until27(s13)))),
% 5.31/4.20 inference(transitivity,[status(thm)],[18185, 18183])).
% 5.31/4.20 tff(18187,plain,
% 5.31/4.20 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s13) | (~until27(s13)) | xuntil28(s13))),
% 5.31/4.20 inference(quant_inst,[status(thm)],[])).
% 5.31/4.20 tff(18188,plain,
% 5.31/4.20 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s13) | node26(s13) | (~until27(s13))),
% 5.31/4.20 inference(modus_ponens,[status(thm)],[18187, 18186])).
% 5.31/4.20 tff(18189,plain,
% 5.31/4.20 (xuntil28(s13)),
% 5.31/4.20 inference(unit_resolution,[status(thm)],[18188, 17992, 18182, 17887])).
% 5.31/4.20 tff(18190,plain,
% 5.31/4.20 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s13, s14)) | (~xuntil28(s13)) | until27(s14))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s13, s14)) | (~xuntil28(s13)) | until27(s14))),
% 5.31/4.20 inference(rewrite,[status(thm)],[])).
% 5.31/4.20 tff(18191,plain,
% 5.31/4.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s13, s14)) | (~xuntil28(s13)) | until27(s14))),
% 5.31/4.20 inference(quant_inst,[status(thm)],[])).
% 5.31/4.20 tff(18192,plain,
% 5.31/4.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s13, s14)) | (~xuntil28(s13)) | until27(s14)),
% 5.31/4.20 inference(modus_ponens,[status(thm)],[18191, 18190])).
% 5.31/4.20 tff(18193,plain,
% 5.31/4.20 ((~xuntil28(s13)) | until27(s14)),
% 5.31/4.20 inference(unit_resolution,[status(thm)],[18192, 1532, 18010])).
% 5.31/4.20 tff(18194,plain,
% 5.31/4.20 (until27(s14)),
% 5.31/4.20 inference(unit_resolution,[status(thm)],[18193, 18189])).
% 5.31/4.20 tff(18195,plain,
% 5.31/4.20 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s14) | node26(s14) | (~until27(s14)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s14) | node26(s14) | (~until27(s14)))),
% 5.31/4.20 inference(rewrite,[status(thm)],[])).
% 5.31/4.20 tff(18196,plain,
% 5.31/4.20 ((node26(s14) | (~until27(s14)) | xuntil28(s14)) <=> (xuntil28(s14) | node26(s14) | (~until27(s14)))),
% 5.31/4.20 inference(rewrite,[status(thm)],[])).
% 5.31/4.20 tff(18197,plain,
% 5.31/4.20 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s14) | (~until27(s14)) | xuntil28(s14))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s14) | node26(s14) | (~until27(s14))))),
% 5.31/4.20 inference(monotonicity,[status(thm)],[18196])).
% 5.31/4.20 tff(18198,plain,
% 5.31/4.20 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s14) | (~until27(s14)) | xuntil28(s14))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s14) | node26(s14) | (~until27(s14)))),
% 5.31/4.20 inference(transitivity,[status(thm)],[18197, 18195])).
% 5.31/4.20 tff(18199,plain,
% 5.31/4.20 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s14) | (~until27(s14)) | xuntil28(s14))),
% 5.31/4.20 inference(quant_inst,[status(thm)],[])).
% 5.31/4.20 tff(18200,plain,
% 5.31/4.20 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s14) | node26(s14) | (~until27(s14))),
% 5.31/4.20 inference(modus_ponens,[status(thm)],[18199, 18198])).
% 5.31/4.20 tff(18201,plain,
% 5.31/4.20 (xuntil28(s14) | node26(s14)),
% 5.31/4.20 inference(unit_resolution,[status(thm)],[18200, 17992, 18194])).
% 5.31/4.20 tff(18202,plain,
% 5.31/4.20 (xuntil28(s14)),
% 5.31/4.20 inference(unit_resolution,[status(thm)],[18201, 17883])).
% 5.31/4.20 tff(18203,plain,
% 5.31/4.20 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s14, s15)) | (~xuntil28(s14)) | until27(s15))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s14, s15)) | (~xuntil28(s14)) | until27(s15))),
% 5.31/4.20 inference(rewrite,[status(thm)],[])).
% 5.31/4.20 tff(18204,plain,
% 5.31/4.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s14, s15)) | (~xuntil28(s14)) | until27(s15))),
% 5.31/4.20 inference(quant_inst,[status(thm)],[])).
% 5.31/4.20 tff(18205,plain,
% 5.31/4.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s14, s15)) | (~xuntil28(s14)) | until27(s15)),
% 5.31/4.20 inference(modus_ponens,[status(thm)],[18204, 18203])).
% 5.31/4.20 tff(18206,plain,
% 5.31/4.20 ((~xuntil28(s14)) | until27(s15)),
% 5.31/4.20 inference(unit_resolution,[status(thm)],[18205, 1596, 18010])).
% 5.31/4.20 tff(18207,plain,
% 5.31/4.20 (until27(s15)),
% 5.31/4.20 inference(unit_resolution,[status(thm)],[18206, 18202])).
% 5.31/4.20 tff(18208,plain,
% 5.31/4.20 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s15) | node26(s15) | (~until27(s15)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s15) | node26(s15) | (~until27(s15)))),
% 5.31/4.20 inference(rewrite,[status(thm)],[])).
% 5.31/4.20 tff(18209,plain,
% 5.31/4.20 ((node26(s15) | (~until27(s15)) | xuntil28(s15)) <=> (xuntil28(s15) | node26(s15) | (~until27(s15)))),
% 5.31/4.20 inference(rewrite,[status(thm)],[])).
% 5.31/4.20 tff(18210,plain,
% 5.31/4.20 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s15) | (~until27(s15)) | xuntil28(s15))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s15) | node26(s15) | (~until27(s15))))),
% 5.31/4.20 inference(monotonicity,[status(thm)],[18209])).
% 5.31/4.20 tff(18211,plain,
% 5.31/4.20 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s15) | (~until27(s15)) | xuntil28(s15))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s15) | node26(s15) | (~until27(s15)))),
% 5.31/4.20 inference(transitivity,[status(thm)],[18210, 18208])).
% 5.31/4.20 tff(18212,plain,
% 5.31/4.20 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s15) | (~until27(s15)) | xuntil28(s15))),
% 5.31/4.20 inference(quant_inst,[status(thm)],[])).
% 5.31/4.20 tff(18213,plain,
% 5.31/4.20 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s15) | node26(s15) | (~until27(s15))),
% 5.31/4.20 inference(modus_ponens,[status(thm)],[18212, 18211])).
% 5.31/4.20 tff(18214,plain,
% 5.31/4.20 (xuntil28(s15)),
% 5.31/4.20 inference(unit_resolution,[status(thm)],[18213, 17992, 18207, 17874])).
% 5.31/4.20 tff(18215,plain,
% 5.31/4.20 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s15, s16)) | (~xuntil28(s15)) | until27(s16))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s15, s16)) | (~xuntil28(s15)) | until27(s16))),
% 5.31/4.20 inference(rewrite,[status(thm)],[])).
% 5.31/4.20 tff(18216,plain,
% 5.31/4.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s15, s16)) | (~xuntil28(s15)) | until27(s16))),
% 5.31/4.20 inference(quant_inst,[status(thm)],[])).
% 5.31/4.20 tff(18217,plain,
% 5.31/4.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s15, s16)) | (~xuntil28(s15)) | until27(s16)),
% 5.31/4.20 inference(modus_ponens,[status(thm)],[18216, 18215])).
% 5.31/4.20 tff(18218,plain,
% 5.31/4.20 ((~xuntil28(s15)) | until27(s16)),
% 5.31/4.20 inference(unit_resolution,[status(thm)],[18217, 1671, 18010])).
% 5.31/4.20 tff(18219,plain,
% 5.31/4.20 (until27(s16)),
% 5.31/4.20 inference(unit_resolution,[status(thm)],[18218, 18214])).
% 5.31/4.20 tff(18220,plain,
% 5.31/4.20 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s16) | (~node26(s16)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s16) | (~node26(s16)))),
% 5.31/4.20 inference(rewrite,[status(thm)],[])).
% 5.31/4.20 tff(18221,plain,
% 5.31/4.20 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s16) | (~node26(s16)))),
% 5.31/4.20 inference(quant_inst,[status(thm)],[])).
% 5.31/4.20 tff(18222,plain,
% 5.31/4.20 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s16) | (~node26(s16))),
% 5.31/4.20 inference(modus_ponens,[status(thm)],[18221, 18220])).
% 5.31/4.20 tff(18223,plain,
% 5.31/4.20 (~node26(s16)),
% 5.31/4.20 inference(unit_resolution,[status(thm)],[18222, 16500, 17865])).
% 5.31/4.20 tff(18224,plain,
% 5.31/4.20 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s16) | node26(s16) | (~until27(s16)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s16) | node26(s16) | (~until27(s16)))),
% 5.31/4.20 inference(rewrite,[status(thm)],[])).
% 5.31/4.20 tff(18225,plain,
% 5.31/4.20 ((node26(s16) | (~until27(s16)) | xuntil28(s16)) <=> (xuntil28(s16) | node26(s16) | (~until27(s16)))),
% 5.31/4.21 inference(rewrite,[status(thm)],[])).
% 5.31/4.21 tff(18226,plain,
% 5.31/4.21 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s16) | (~until27(s16)) | xuntil28(s16))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s16) | node26(s16) | (~until27(s16))))),
% 5.31/4.21 inference(monotonicity,[status(thm)],[18225])).
% 5.31/4.21 tff(18227,plain,
% 5.31/4.21 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s16) | (~until27(s16)) | xuntil28(s16))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s16) | node26(s16) | (~until27(s16)))),
% 5.31/4.21 inference(transitivity,[status(thm)],[18226, 18224])).
% 5.31/4.21 tff(18228,plain,
% 5.31/4.21 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s16) | (~until27(s16)) | xuntil28(s16))),
% 5.31/4.21 inference(quant_inst,[status(thm)],[])).
% 5.31/4.21 tff(18229,plain,
% 5.31/4.21 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s16) | node26(s16) | (~until27(s16))),
% 5.31/4.21 inference(modus_ponens,[status(thm)],[18228, 18227])).
% 5.31/4.21 tff(18230,plain,
% 5.31/4.21 (xuntil28(s16) | (~until27(s16))),
% 5.31/4.21 inference(unit_resolution,[status(thm)],[18229, 17992, 18223])).
% 5.31/4.21 tff(18231,plain,
% 5.31/4.21 (xuntil28(s16)),
% 5.31/4.21 inference(unit_resolution,[status(thm)],[18230, 18219])).
% 5.31/4.21 tff(18232,plain,
% 5.31/4.21 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s16, s17)) | (~xuntil28(s16)) | until27(s17))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s16, s17)) | (~xuntil28(s16)) | until27(s17))),
% 5.31/4.21 inference(rewrite,[status(thm)],[])).
% 5.31/4.21 tff(18233,plain,
% 5.31/4.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s16, s17)) | (~xuntil28(s16)) | until27(s17))),
% 5.31/4.21 inference(quant_inst,[status(thm)],[])).
% 5.31/4.21 tff(18234,plain,
% 5.31/4.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s16, s17)) | (~xuntil28(s16)) | until27(s17)),
% 5.31/4.21 inference(modus_ponens,[status(thm)],[18233, 18232])).
% 5.31/4.21 tff(18235,plain,
% 5.31/4.21 ((~xuntil28(s16)) | until27(s17)),
% 5.31/4.21 inference(unit_resolution,[status(thm)],[18234, 1760, 18010])).
% 5.31/4.21 tff(18236,plain,
% 5.31/4.21 (until27(s17)),
% 5.31/4.21 inference(unit_resolution,[status(thm)],[18235, 18231])).
% 5.31/4.21 tff(18237,plain,
% 5.31/4.21 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s17) | node26(s17) | (~until27(s17)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s17) | node26(s17) | (~until27(s17)))),
% 5.31/4.21 inference(rewrite,[status(thm)],[])).
% 5.31/4.21 tff(18238,plain,
% 5.31/4.21 ((node26(s17) | (~until27(s17)) | xuntil28(s17)) <=> (xuntil28(s17) | node26(s17) | (~until27(s17)))),
% 5.31/4.21 inference(rewrite,[status(thm)],[])).
% 5.31/4.21 tff(18239,plain,
% 5.31/4.21 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s17) | (~until27(s17)) | xuntil28(s17))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s17) | node26(s17) | (~until27(s17))))),
% 5.31/4.21 inference(monotonicity,[status(thm)],[18238])).
% 5.31/4.21 tff(18240,plain,
% 5.31/4.21 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s17) | (~until27(s17)) | xuntil28(s17))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s17) | node26(s17) | (~until27(s17)))),
% 5.31/4.21 inference(transitivity,[status(thm)],[18239, 18237])).
% 5.31/4.21 tff(18241,plain,
% 5.31/4.21 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s17) | (~until27(s17)) | xuntil28(s17))),
% 5.31/4.21 inference(quant_inst,[status(thm)],[])).
% 5.31/4.21 tff(18242,plain,
% 5.31/4.21 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s17) | node26(s17) | (~until27(s17))),
% 5.31/4.21 inference(modus_ponens,[status(thm)],[18241, 18240])).
% 5.31/4.21 tff(18243,plain,
% 5.31/4.21 (xuntil28(s17)),
% 5.31/4.21 inference(unit_resolution,[status(thm)],[18242, 17992, 18236, 17858])).
% 5.31/4.21 tff(18244,plain,
% 5.31/4.21 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s17, s18)) | (~xuntil28(s17)) | until27(s18))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s17, s18)) | (~xuntil28(s17)) | until27(s18))),
% 5.31/4.21 inference(rewrite,[status(thm)],[])).
% 5.31/4.21 tff(18245,plain,
% 5.31/4.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s17, s18)) | (~xuntil28(s17)) | until27(s18))),
% 5.31/4.21 inference(quant_inst,[status(thm)],[])).
% 5.31/4.21 tff(18246,plain,
% 5.31/4.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s17, s18)) | (~xuntil28(s17)) | until27(s18)),
% 5.31/4.21 inference(modus_ponens,[status(thm)],[18245, 18244])).
% 5.31/4.21 tff(18247,plain,
% 5.31/4.21 ((~xuntil28(s17)) | until27(s18)),
% 5.31/4.21 inference(unit_resolution,[status(thm)],[18246, 1827, 18010])).
% 5.31/4.21 tff(18248,plain,
% 5.31/4.21 (until27(s18)),
% 5.31/4.21 inference(unit_resolution,[status(thm)],[18247, 18243])).
% 5.31/4.21 tff(18249,plain,
% 5.31/4.21 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s18) | node26(s18) | (~until27(s18)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s18) | node26(s18) | (~until27(s18)))),
% 5.31/4.21 inference(rewrite,[status(thm)],[])).
% 5.31/4.21 tff(18250,plain,
% 5.31/4.21 ((node26(s18) | (~until27(s18)) | xuntil28(s18)) <=> (xuntil28(s18) | node26(s18) | (~until27(s18)))),
% 5.31/4.21 inference(rewrite,[status(thm)],[])).
% 5.31/4.21 tff(18251,plain,
% 5.31/4.21 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s18) | (~until27(s18)) | xuntil28(s18))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s18) | node26(s18) | (~until27(s18))))),
% 5.31/4.21 inference(monotonicity,[status(thm)],[18250])).
% 5.31/4.21 tff(18252,plain,
% 5.31/4.21 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s18) | (~until27(s18)) | xuntil28(s18))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s18) | node26(s18) | (~until27(s18)))),
% 5.31/4.21 inference(transitivity,[status(thm)],[18251, 18249])).
% 5.31/4.21 tff(18253,plain,
% 5.31/4.21 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s18) | (~until27(s18)) | xuntil28(s18))),
% 5.31/4.21 inference(quant_inst,[status(thm)],[])).
% 5.31/4.21 tff(18254,plain,
% 5.31/4.21 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s18) | node26(s18) | (~until27(s18))),
% 5.31/4.21 inference(modus_ponens,[status(thm)],[18253, 18252])).
% 5.31/4.21 tff(18255,plain,
% 5.31/4.21 (xuntil28(s18) | node26(s18)),
% 5.31/4.21 inference(unit_resolution,[status(thm)],[18254, 17992, 18248])).
% 5.31/4.21 tff(18256,plain,
% 5.31/4.21 (xuntil28(s18)),
% 5.31/4.21 inference(unit_resolution,[status(thm)],[18255, 17854])).
% 5.31/4.21 tff(18257,plain,
% 5.31/4.21 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s18, s19)) | (~xuntil28(s18)) | until27(s19))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s18, s19)) | (~xuntil28(s18)) | until27(s19))),
% 5.31/4.21 inference(rewrite,[status(thm)],[])).
% 5.31/4.21 tff(18258,plain,
% 5.31/4.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s18, s19)) | (~xuntil28(s18)) | until27(s19))),
% 5.31/4.21 inference(quant_inst,[status(thm)],[])).
% 5.31/4.21 tff(18259,plain,
% 5.31/4.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s18, s19)) | (~xuntil28(s18)) | until27(s19)),
% 5.31/4.21 inference(modus_ponens,[status(thm)],[18258, 18257])).
% 5.31/4.21 tff(18260,plain,
% 5.31/4.21 ((~xuntil28(s18)) | until27(s19)),
% 5.31/4.21 inference(unit_resolution,[status(thm)],[18259, 1926, 18010])).
% 5.31/4.21 tff(18261,plain,
% 5.31/4.21 (until27(s19)),
% 5.31/4.21 inference(unit_resolution,[status(thm)],[18260, 18256])).
% 5.31/4.21 tff(18262,plain,
% 5.31/4.21 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s19) | node26(s19) | (~until27(s19)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s19) | node26(s19) | (~until27(s19)))),
% 5.31/4.21 inference(rewrite,[status(thm)],[])).
% 5.31/4.21 tff(18263,plain,
% 5.31/4.21 ((node26(s19) | (~until27(s19)) | xuntil28(s19)) <=> (xuntil28(s19) | node26(s19) | (~until27(s19)))),
% 5.31/4.21 inference(rewrite,[status(thm)],[])).
% 5.31/4.21 tff(18264,plain,
% 5.31/4.21 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s19) | (~until27(s19)) | xuntil28(s19))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s19) | node26(s19) | (~until27(s19))))),
% 5.31/4.21 inference(monotonicity,[status(thm)],[18263])).
% 5.31/4.21 tff(18265,plain,
% 5.31/4.21 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s19) | (~until27(s19)) | xuntil28(s19))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s19) | node26(s19) | (~until27(s19)))),
% 5.31/4.21 inference(transitivity,[status(thm)],[18264, 18262])).
% 5.31/4.21 tff(18266,plain,
% 5.31/4.21 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s19) | (~until27(s19)) | xuntil28(s19))),
% 5.31/4.21 inference(quant_inst,[status(thm)],[])).
% 5.31/4.21 tff(18267,plain,
% 5.31/4.21 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s19) | node26(s19) | (~until27(s19))),
% 5.31/4.21 inference(modus_ponens,[status(thm)],[18266, 18265])).
% 5.31/4.21 tff(18268,plain,
% 5.31/4.21 (xuntil28(s19)),
% 5.31/4.21 inference(unit_resolution,[status(thm)],[18267, 17992, 18261, 17845])).
% 5.31/4.21 tff(18269,plain,
% 5.31/4.21 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s19, s20)) | (~xuntil28(s19)) | until27(s20))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s19, s20)) | (~xuntil28(s19)) | until27(s20))),
% 5.31/4.21 inference(rewrite,[status(thm)],[])).
% 5.31/4.21 tff(18270,plain,
% 5.31/4.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s19, s20)) | (~xuntil28(s19)) | until27(s20))),
% 5.31/4.21 inference(quant_inst,[status(thm)],[])).
% 5.31/4.21 tff(18271,plain,
% 5.31/4.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s19, s20)) | (~xuntil28(s19)) | until27(s20)),
% 5.31/4.21 inference(modus_ponens,[status(thm)],[18270, 18269])).
% 5.31/4.21 tff(18272,plain,
% 5.31/4.21 ((~xuntil28(s19)) | until27(s20)),
% 5.31/4.21 inference(unit_resolution,[status(thm)],[18271, 2004, 18010])).
% 5.31/4.21 tff(18273,plain,
% 5.31/4.21 (until27(s20)),
% 5.31/4.21 inference(unit_resolution,[status(thm)],[18272, 18268])).
% 5.31/4.21 tff(18274,plain,
% 5.31/4.21 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s20) | (~node26(s20)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s20) | (~node26(s20)))),
% 5.31/4.21 inference(rewrite,[status(thm)],[])).
% 5.31/4.21 tff(18275,plain,
% 5.31/4.21 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s20) | (~node26(s20)))),
% 5.31/4.21 inference(quant_inst,[status(thm)],[])).
% 5.31/4.21 tff(18276,plain,
% 5.31/4.21 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s20) | (~node26(s20))),
% 5.31/4.21 inference(modus_ponens,[status(thm)],[18275, 18274])).
% 5.31/4.21 tff(18277,plain,
% 5.31/4.21 (~node26(s20)),
% 5.31/4.21 inference(unit_resolution,[status(thm)],[18276, 16500, 17836])).
% 5.31/4.21 tff(18278,plain,
% 5.31/4.21 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s20) | node26(s20) | (~until27(s20)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s20) | node26(s20) | (~until27(s20)))),
% 5.31/4.21 inference(rewrite,[status(thm)],[])).
% 5.31/4.21 tff(18279,plain,
% 5.31/4.21 ((node26(s20) | (~until27(s20)) | xuntil28(s20)) <=> (xuntil28(s20) | node26(s20) | (~until27(s20)))),
% 5.31/4.21 inference(rewrite,[status(thm)],[])).
% 5.31/4.21 tff(18280,plain,
% 5.31/4.21 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s20) | (~until27(s20)) | xuntil28(s20))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s20) | node26(s20) | (~until27(s20))))),
% 5.31/4.21 inference(monotonicity,[status(thm)],[18279])).
% 5.31/4.21 tff(18281,plain,
% 5.31/4.21 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s20) | (~until27(s20)) | xuntil28(s20))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s20) | node26(s20) | (~until27(s20)))),
% 5.31/4.21 inference(transitivity,[status(thm)],[18280, 18278])).
% 5.31/4.21 tff(18282,plain,
% 5.31/4.21 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s20) | (~until27(s20)) | xuntil28(s20))),
% 5.31/4.21 inference(quant_inst,[status(thm)],[])).
% 5.31/4.21 tff(18283,plain,
% 5.31/4.21 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s20) | node26(s20) | (~until27(s20))),
% 5.31/4.21 inference(modus_ponens,[status(thm)],[18282, 18281])).
% 5.31/4.21 tff(18284,plain,
% 5.31/4.21 (xuntil28(s20) | (~until27(s20))),
% 5.31/4.21 inference(unit_resolution,[status(thm)],[18283, 17992, 18277])).
% 5.31/4.21 tff(18285,plain,
% 5.31/4.21 (xuntil28(s20)),
% 5.31/4.21 inference(unit_resolution,[status(thm)],[18284, 18273])).
% 5.31/4.21 tff(18286,plain,
% 5.31/4.21 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s20, s21)) | (~xuntil28(s20)) | until27(s21))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s20, s21)) | (~xuntil28(s20)) | until27(s21))),
% 5.31/4.21 inference(rewrite,[status(thm)],[])).
% 5.31/4.21 tff(18287,plain,
% 5.31/4.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s20, s21)) | (~xuntil28(s20)) | until27(s21))),
% 5.31/4.21 inference(quant_inst,[status(thm)],[])).
% 5.31/4.21 tff(18288,plain,
% 5.31/4.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s20, s21)) | (~xuntil28(s20)) | until27(s21)),
% 5.31/4.21 inference(modus_ponens,[status(thm)],[18287, 18286])).
% 5.31/4.21 tff(18289,plain,
% 5.31/4.21 ((~xuntil28(s20)) | until27(s21)),
% 5.31/4.21 inference(unit_resolution,[status(thm)],[18288, 2065, 18010])).
% 5.31/4.21 tff(18290,plain,
% 5.31/4.21 (until27(s21)),
% 5.31/4.21 inference(unit_resolution,[status(thm)],[18289, 18285])).
% 5.31/4.21 tff(18291,plain,
% 5.31/4.21 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s21) | node26(s21) | (~until27(s21)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s21) | node26(s21) | (~until27(s21)))),
% 5.31/4.21 inference(rewrite,[status(thm)],[])).
% 5.31/4.21 tff(18292,plain,
% 5.31/4.21 ((node26(s21) | (~until27(s21)) | xuntil28(s21)) <=> (xuntil28(s21) | node26(s21) | (~until27(s21)))),
% 5.31/4.21 inference(rewrite,[status(thm)],[])).
% 5.31/4.21 tff(18293,plain,
% 5.31/4.21 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s21) | (~until27(s21)) | xuntil28(s21))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s21) | node26(s21) | (~until27(s21))))),
% 5.31/4.21 inference(monotonicity,[status(thm)],[18292])).
% 5.31/4.21 tff(18294,plain,
% 5.31/4.21 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s21) | (~until27(s21)) | xuntil28(s21))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s21) | node26(s21) | (~until27(s21)))),
% 5.31/4.21 inference(transitivity,[status(thm)],[18293, 18291])).
% 5.31/4.21 tff(18295,plain,
% 5.31/4.21 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s21) | (~until27(s21)) | xuntil28(s21))),
% 5.31/4.21 inference(quant_inst,[status(thm)],[])).
% 5.31/4.21 tff(18296,plain,
% 5.31/4.21 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s21) | node26(s21) | (~until27(s21))),
% 5.31/4.21 inference(modus_ponens,[status(thm)],[18295, 18294])).
% 5.31/4.21 tff(18297,plain,
% 5.31/4.21 (xuntil28(s21)),
% 5.31/4.21 inference(unit_resolution,[status(thm)],[18296, 17992, 18290, 17829])).
% 5.31/4.21 tff(18298,plain,
% 5.31/4.21 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s21, s22)) | (~xuntil28(s21)) | until27(s22))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s21, s22)) | (~xuntil28(s21)) | until27(s22))),
% 5.31/4.21 inference(rewrite,[status(thm)],[])).
% 5.31/4.21 tff(18299,plain,
% 5.31/4.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s21, s22)) | (~xuntil28(s21)) | until27(s22))),
% 5.31/4.21 inference(quant_inst,[status(thm)],[])).
% 5.31/4.21 tff(18300,plain,
% 5.31/4.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s21, s22)) | (~xuntil28(s21)) | until27(s22)),
% 5.31/4.21 inference(modus_ponens,[status(thm)],[18299, 18298])).
% 5.31/4.21 tff(18301,plain,
% 5.31/4.21 ((~xuntil28(s21)) | until27(s22)),
% 5.31/4.21 inference(unit_resolution,[status(thm)],[18300, 2160, 18010])).
% 5.31/4.21 tff(18302,plain,
% 5.31/4.21 (until27(s22)),
% 5.31/4.21 inference(unit_resolution,[status(thm)],[18301, 18297])).
% 5.31/4.21 tff(18303,plain,
% 5.31/4.21 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s22) | node26(s22) | (~until27(s22)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s22) | node26(s22) | (~until27(s22)))),
% 5.31/4.21 inference(rewrite,[status(thm)],[])).
% 5.31/4.21 tff(18304,plain,
% 5.31/4.21 ((node26(s22) | (~until27(s22)) | xuntil28(s22)) <=> (xuntil28(s22) | node26(s22) | (~until27(s22)))),
% 5.31/4.21 inference(rewrite,[status(thm)],[])).
% 5.31/4.21 tff(18305,plain,
% 5.31/4.21 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s22) | (~until27(s22)) | xuntil28(s22))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s22) | node26(s22) | (~until27(s22))))),
% 5.31/4.21 inference(monotonicity,[status(thm)],[18304])).
% 5.31/4.21 tff(18306,plain,
% 5.31/4.21 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s22) | (~until27(s22)) | xuntil28(s22))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s22) | node26(s22) | (~until27(s22)))),
% 5.31/4.21 inference(transitivity,[status(thm)],[18305, 18303])).
% 5.31/4.21 tff(18307,plain,
% 5.31/4.21 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s22) | (~until27(s22)) | xuntil28(s22))),
% 5.31/4.21 inference(quant_inst,[status(thm)],[])).
% 5.31/4.21 tff(18308,plain,
% 5.31/4.21 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s22) | node26(s22) | (~until27(s22))),
% 5.31/4.21 inference(modus_ponens,[status(thm)],[18307, 18306])).
% 5.31/4.21 tff(18309,plain,
% 5.31/4.21 (xuntil28(s22) | node26(s22)),
% 5.31/4.21 inference(unit_resolution,[status(thm)],[18308, 17992, 18302])).
% 5.31/4.21 tff(18310,plain,
% 5.31/4.21 (xuntil28(s22)),
% 5.31/4.21 inference(unit_resolution,[status(thm)],[18309, 17825])).
% 5.31/4.21 tff(18311,plain,
% 5.31/4.21 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s22, s23)) | (~xuntil28(s22)) | until27(s23))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s22, s23)) | (~xuntil28(s22)) | until27(s23))),
% 5.31/4.21 inference(rewrite,[status(thm)],[])).
% 5.31/4.21 tff(18312,plain,
% 5.31/4.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s22, s23)) | (~xuntil28(s22)) | until27(s23))),
% 5.31/4.21 inference(quant_inst,[status(thm)],[])).
% 5.31/4.21 tff(18313,plain,
% 5.31/4.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s22, s23)) | (~xuntil28(s22)) | until27(s23)),
% 5.31/4.21 inference(modus_ponens,[status(thm)],[18312, 18311])).
% 5.31/4.21 tff(18314,plain,
% 5.31/4.21 ((~xuntil28(s22)) | until27(s23)),
% 5.31/4.21 inference(unit_resolution,[status(thm)],[18313, 2224, 18010])).
% 5.31/4.21 tff(18315,plain,
% 5.31/4.21 (until27(s23)),
% 5.31/4.21 inference(unit_resolution,[status(thm)],[18314, 18310])).
% 5.31/4.21 tff(18316,plain,
% 5.31/4.21 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s23) | node26(s23) | (~until27(s23)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s23) | node26(s23) | (~until27(s23)))),
% 5.31/4.21 inference(rewrite,[status(thm)],[])).
% 5.31/4.21 tff(18317,plain,
% 5.31/4.21 ((node26(s23) | (~until27(s23)) | xuntil28(s23)) <=> (xuntil28(s23) | node26(s23) | (~until27(s23)))),
% 5.31/4.21 inference(rewrite,[status(thm)],[])).
% 5.31/4.21 tff(18318,plain,
% 5.31/4.21 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s23) | (~until27(s23)) | xuntil28(s23))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s23) | node26(s23) | (~until27(s23))))),
% 5.31/4.21 inference(monotonicity,[status(thm)],[18317])).
% 5.31/4.21 tff(18319,plain,
% 5.31/4.21 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s23) | (~until27(s23)) | xuntil28(s23))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s23) | node26(s23) | (~until27(s23)))),
% 5.31/4.21 inference(transitivity,[status(thm)],[18318, 18316])).
% 5.31/4.21 tff(18320,plain,
% 5.31/4.21 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s23) | (~until27(s23)) | xuntil28(s23))),
% 5.31/4.21 inference(quant_inst,[status(thm)],[])).
% 5.31/4.21 tff(18321,plain,
% 5.31/4.21 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s23) | node26(s23) | (~until27(s23))),
% 5.31/4.21 inference(modus_ponens,[status(thm)],[18320, 18319])).
% 5.31/4.21 tff(18322,plain,
% 5.31/4.21 (xuntil28(s23)),
% 5.31/4.21 inference(unit_resolution,[status(thm)],[18321, 17992, 18315, 17816])).
% 5.31/4.21 tff(18323,plain,
% 5.31/4.21 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s23, s24)) | (~xuntil28(s23)) | until27(s24))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s23, s24)) | (~xuntil28(s23)) | until27(s24))),
% 5.31/4.21 inference(rewrite,[status(thm)],[])).
% 5.31/4.21 tff(18324,plain,
% 5.31/4.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s23, s24)) | (~xuntil28(s23)) | until27(s24))),
% 5.31/4.21 inference(quant_inst,[status(thm)],[])).
% 5.31/4.21 tff(18325,plain,
% 5.31/4.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s23, s24)) | (~xuntil28(s23)) | until27(s24)),
% 5.31/4.21 inference(modus_ponens,[status(thm)],[18324, 18323])).
% 5.31/4.21 tff(18326,plain,
% 5.31/4.21 ((~xuntil28(s23)) | until27(s24)),
% 5.31/4.21 inference(unit_resolution,[status(thm)],[18325, 2299, 18010])).
% 5.31/4.21 tff(18327,plain,
% 5.31/4.21 (until27(s24)),
% 5.31/4.21 inference(unit_resolution,[status(thm)],[18326, 18322])).
% 5.31/4.21 tff(18328,plain,
% 5.31/4.21 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s24) | (~node26(s24)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s24) | (~node26(s24)))),
% 5.31/4.21 inference(rewrite,[status(thm)],[])).
% 5.31/4.21 tff(18329,plain,
% 5.31/4.21 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s24) | (~node26(s24)))),
% 5.31/4.21 inference(quant_inst,[status(thm)],[])).
% 5.31/4.21 tff(18330,plain,
% 5.31/4.21 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s24) | (~node26(s24))),
% 5.31/4.21 inference(modus_ponens,[status(thm)],[18329, 18328])).
% 5.31/4.21 tff(18331,plain,
% 5.31/4.21 (~node26(s24)),
% 5.31/4.21 inference(unit_resolution,[status(thm)],[18330, 16500, 17807])).
% 5.31/4.21 tff(18332,plain,
% 5.31/4.21 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s24) | node26(s24) | (~until27(s24)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s24) | node26(s24) | (~until27(s24)))),
% 5.31/4.21 inference(rewrite,[status(thm)],[])).
% 5.31/4.21 tff(18333,plain,
% 5.31/4.21 ((node26(s24) | (~until27(s24)) | xuntil28(s24)) <=> (xuntil28(s24) | node26(s24) | (~until27(s24)))),
% 5.31/4.21 inference(rewrite,[status(thm)],[])).
% 5.31/4.21 tff(18334,plain,
% 5.31/4.21 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s24) | (~until27(s24)) | xuntil28(s24))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s24) | node26(s24) | (~until27(s24))))),
% 5.31/4.21 inference(monotonicity,[status(thm)],[18333])).
% 5.31/4.21 tff(18335,plain,
% 5.31/4.21 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s24) | (~until27(s24)) | xuntil28(s24))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s24) | node26(s24) | (~until27(s24)))),
% 5.31/4.21 inference(transitivity,[status(thm)],[18334, 18332])).
% 5.31/4.21 tff(18336,plain,
% 5.31/4.21 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s24) | (~until27(s24)) | xuntil28(s24))),
% 5.31/4.21 inference(quant_inst,[status(thm)],[])).
% 5.31/4.21 tff(18337,plain,
% 5.31/4.21 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s24) | node26(s24) | (~until27(s24))),
% 5.31/4.21 inference(modus_ponens,[status(thm)],[18336, 18335])).
% 5.31/4.21 tff(18338,plain,
% 5.31/4.21 (xuntil28(s24) | (~until27(s24))),
% 5.31/4.21 inference(unit_resolution,[status(thm)],[18337, 17992, 18331])).
% 5.31/4.21 tff(18339,plain,
% 5.31/4.21 (xuntil28(s24)),
% 5.31/4.21 inference(unit_resolution,[status(thm)],[18338, 18327])).
% 5.31/4.21 tff(18340,plain,
% 5.31/4.21 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s24, s25)) | (~xuntil28(s24)) | until27(s25))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s24, s25)) | (~xuntil28(s24)) | until27(s25))),
% 5.31/4.21 inference(rewrite,[status(thm)],[])).
% 5.31/4.21 tff(18341,plain,
% 5.31/4.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s24, s25)) | (~xuntil28(s24)) | until27(s25))),
% 5.31/4.21 inference(quant_inst,[status(thm)],[])).
% 5.31/4.21 tff(18342,plain,
% 5.31/4.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s24, s25)) | (~xuntil28(s24)) | until27(s25)),
% 5.31/4.21 inference(modus_ponens,[status(thm)],[18341, 18340])).
% 5.31/4.21 tff(18343,plain,
% 5.31/4.21 ((~xuntil28(s24)) | until27(s25)),
% 5.31/4.21 inference(unit_resolution,[status(thm)],[18342, 2388, 18010])).
% 5.31/4.21 tff(18344,plain,
% 5.31/4.21 (until27(s25)),
% 5.31/4.21 inference(unit_resolution,[status(thm)],[18343, 18339])).
% 5.31/4.21 tff(18345,plain,
% 5.31/4.21 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s25) | node26(s25) | (~until27(s25)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s25) | node26(s25) | (~until27(s25)))),
% 5.31/4.21 inference(rewrite,[status(thm)],[])).
% 5.31/4.21 tff(18346,plain,
% 5.31/4.21 ((node26(s25) | (~until27(s25)) | xuntil28(s25)) <=> (xuntil28(s25) | node26(s25) | (~until27(s25)))),
% 5.31/4.21 inference(rewrite,[status(thm)],[])).
% 5.31/4.21 tff(18347,plain,
% 5.31/4.21 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s25) | (~until27(s25)) | xuntil28(s25))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s25) | node26(s25) | (~until27(s25))))),
% 5.31/4.21 inference(monotonicity,[status(thm)],[18346])).
% 5.31/4.21 tff(18348,plain,
% 5.31/4.21 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s25) | (~until27(s25)) | xuntil28(s25))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s25) | node26(s25) | (~until27(s25)))),
% 5.31/4.21 inference(transitivity,[status(thm)],[18347, 18345])).
% 5.31/4.21 tff(18349,plain,
% 5.31/4.21 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s25) | (~until27(s25)) | xuntil28(s25))),
% 5.31/4.21 inference(quant_inst,[status(thm)],[])).
% 5.31/4.21 tff(18350,plain,
% 5.31/4.21 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s25) | node26(s25) | (~until27(s25))),
% 5.31/4.21 inference(modus_ponens,[status(thm)],[18349, 18348])).
% 5.31/4.21 tff(18351,plain,
% 5.31/4.21 (xuntil28(s25)),
% 5.31/4.21 inference(unit_resolution,[status(thm)],[18350, 17992, 18344, 17800])).
% 5.31/4.21 tff(18352,plain,
% 5.31/4.21 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s25, s26)) | (~xuntil28(s25)) | until27(s26))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s25, s26)) | (~xuntil28(s25)) | until27(s26))),
% 5.31/4.21 inference(rewrite,[status(thm)],[])).
% 5.31/4.21 tff(18353,plain,
% 5.31/4.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s25, s26)) | (~xuntil28(s25)) | until27(s26))),
% 5.31/4.21 inference(quant_inst,[status(thm)],[])).
% 5.31/4.21 tff(18354,plain,
% 5.31/4.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s25, s26)) | (~xuntil28(s25)) | until27(s26)),
% 5.31/4.21 inference(modus_ponens,[status(thm)],[18353, 18352])).
% 5.31/4.21 tff(18355,plain,
% 5.31/4.21 ((~xuntil28(s25)) | until27(s26)),
% 5.31/4.21 inference(unit_resolution,[status(thm)],[18354, 2455, 18010])).
% 5.31/4.21 tff(18356,plain,
% 5.31/4.21 (until27(s26)),
% 5.31/4.21 inference(unit_resolution,[status(thm)],[18355, 18351])).
% 5.31/4.21 tff(18357,plain,
% 5.31/4.21 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s26) | node26(s26) | (~until27(s26)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s26) | node26(s26) | (~until27(s26)))),
% 5.31/4.21 inference(rewrite,[status(thm)],[])).
% 5.31/4.21 tff(18358,plain,
% 5.31/4.21 ((node26(s26) | (~until27(s26)) | xuntil28(s26)) <=> (xuntil28(s26) | node26(s26) | (~until27(s26)))),
% 5.31/4.21 inference(rewrite,[status(thm)],[])).
% 5.31/4.21 tff(18359,plain,
% 5.31/4.21 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s26) | (~until27(s26)) | xuntil28(s26))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s26) | node26(s26) | (~until27(s26))))),
% 5.31/4.21 inference(monotonicity,[status(thm)],[18358])).
% 5.31/4.21 tff(18360,plain,
% 5.31/4.21 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s26) | (~until27(s26)) | xuntil28(s26))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s26) | node26(s26) | (~until27(s26)))),
% 5.31/4.21 inference(transitivity,[status(thm)],[18359, 18357])).
% 5.31/4.21 tff(18361,plain,
% 5.31/4.21 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s26) | (~until27(s26)) | xuntil28(s26))),
% 5.31/4.21 inference(quant_inst,[status(thm)],[])).
% 5.31/4.21 tff(18362,plain,
% 5.31/4.21 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s26) | node26(s26) | (~until27(s26))),
% 5.31/4.21 inference(modus_ponens,[status(thm)],[18361, 18360])).
% 5.31/4.21 tff(18363,plain,
% 5.31/4.21 (xuntil28(s26) | node26(s26)),
% 5.31/4.21 inference(unit_resolution,[status(thm)],[18362, 17992, 18356])).
% 5.31/4.21 tff(18364,plain,
% 5.31/4.21 (xuntil28(s26)),
% 5.31/4.21 inference(unit_resolution,[status(thm)],[18363, 17796])).
% 5.31/4.21 tff(18365,plain,
% 5.31/4.21 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s26, s27)) | (~xuntil28(s26)) | until27(s27))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s26, s27)) | (~xuntil28(s26)) | until27(s27))),
% 5.31/4.21 inference(rewrite,[status(thm)],[])).
% 5.31/4.21 tff(18366,plain,
% 5.31/4.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s26, s27)) | (~xuntil28(s26)) | until27(s27))),
% 5.31/4.21 inference(quant_inst,[status(thm)],[])).
% 5.31/4.21 tff(18367,plain,
% 5.31/4.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s26, s27)) | (~xuntil28(s26)) | until27(s27)),
% 5.31/4.21 inference(modus_ponens,[status(thm)],[18366, 18365])).
% 5.31/4.21 tff(18368,plain,
% 5.31/4.21 ((~xuntil28(s26)) | until27(s27)),
% 5.31/4.21 inference(unit_resolution,[status(thm)],[18367, 2554, 18010])).
% 5.31/4.21 tff(18369,plain,
% 5.31/4.21 (until27(s27)),
% 5.31/4.21 inference(unit_resolution,[status(thm)],[18368, 18364])).
% 5.31/4.21 tff(18370,plain,
% 5.31/4.21 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s27) | node26(s27) | (~until27(s27)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s27) | node26(s27) | (~until27(s27)))),
% 5.31/4.21 inference(rewrite,[status(thm)],[])).
% 5.31/4.21 tff(18371,plain,
% 5.31/4.21 ((node26(s27) | (~until27(s27)) | xuntil28(s27)) <=> (xuntil28(s27) | node26(s27) | (~until27(s27)))),
% 5.31/4.21 inference(rewrite,[status(thm)],[])).
% 5.31/4.21 tff(18372,plain,
% 5.31/4.21 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s27) | (~until27(s27)) | xuntil28(s27))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s27) | node26(s27) | (~until27(s27))))),
% 5.31/4.21 inference(monotonicity,[status(thm)],[18371])).
% 5.31/4.21 tff(18373,plain,
% 5.31/4.21 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s27) | (~until27(s27)) | xuntil28(s27))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s27) | node26(s27) | (~until27(s27)))),
% 5.31/4.21 inference(transitivity,[status(thm)],[18372, 18370])).
% 5.31/4.21 tff(18374,plain,
% 5.31/4.21 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s27) | (~until27(s27)) | xuntil28(s27))),
% 5.31/4.21 inference(quant_inst,[status(thm)],[])).
% 5.31/4.21 tff(18375,plain,
% 5.31/4.21 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s27) | node26(s27) | (~until27(s27))),
% 5.31/4.21 inference(modus_ponens,[status(thm)],[18374, 18373])).
% 5.31/4.21 tff(18376,plain,
% 5.31/4.21 (xuntil28(s27)),
% 5.31/4.21 inference(unit_resolution,[status(thm)],[18375, 17992, 18369, 17787])).
% 5.31/4.21 tff(18377,plain,
% 5.31/4.21 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s27, s28)) | (~xuntil28(s27)) | until27(s28))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s27, s28)) | (~xuntil28(s27)) | until27(s28))),
% 5.31/4.21 inference(rewrite,[status(thm)],[])).
% 5.31/4.21 tff(18378,plain,
% 5.31/4.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s27, s28)) | (~xuntil28(s27)) | until27(s28))),
% 5.31/4.21 inference(quant_inst,[status(thm)],[])).
% 5.31/4.21 tff(18379,plain,
% 5.31/4.21 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s27, s28)) | (~xuntil28(s27)) | until27(s28)),
% 5.31/4.21 inference(modus_ponens,[status(thm)],[18378, 18377])).
% 5.31/4.21 tff(18380,plain,
% 5.31/4.21 ((~xuntil28(s27)) | until27(s28)),
% 5.31/4.21 inference(unit_resolution,[status(thm)],[18379, 2632, 18010])).
% 5.31/4.21 tff(18381,plain,
% 5.31/4.21 (until27(s28)),
% 5.31/4.21 inference(unit_resolution,[status(thm)],[18380, 18376])).
% 5.31/4.21 tff(18382,plain,
% 5.31/4.21 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s28) | (~node26(s28)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s28) | (~node26(s28)))),
% 5.31/4.21 inference(rewrite,[status(thm)],[])).
% 5.31/4.21 tff(18383,plain,
% 5.31/4.21 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s28) | (~node26(s28)))),
% 5.31/4.21 inference(quant_inst,[status(thm)],[])).
% 5.31/4.21 tff(18384,plain,
% 5.31/4.21 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s28) | (~node26(s28))),
% 5.31/4.21 inference(modus_ponens,[status(thm)],[18383, 18382])).
% 5.31/4.21 tff(18385,plain,
% 5.31/4.21 (~node26(s28)),
% 5.31/4.21 inference(unit_resolution,[status(thm)],[18384, 16500, 17778])).
% 5.31/4.21 tff(18386,plain,
% 5.31/4.21 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s28) | node26(s28) | (~until27(s28)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s28) | node26(s28) | (~until27(s28)))),
% 5.31/4.21 inference(rewrite,[status(thm)],[])).
% 5.31/4.21 tff(18387,plain,
% 5.31/4.21 ((node26(s28) | (~until27(s28)) | xuntil28(s28)) <=> (xuntil28(s28) | node26(s28) | (~until27(s28)))),
% 5.31/4.21 inference(rewrite,[status(thm)],[])).
% 5.31/4.21 tff(18388,plain,
% 5.31/4.21 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s28) | (~until27(s28)) | xuntil28(s28))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s28) | node26(s28) | (~until27(s28))))),
% 5.31/4.21 inference(monotonicity,[status(thm)],[18387])).
% 5.31/4.21 tff(18389,plain,
% 5.31/4.21 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s28) | (~until27(s28)) | xuntil28(s28))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s28) | node26(s28) | (~until27(s28)))),
% 5.31/4.21 inference(transitivity,[status(thm)],[18388, 18386])).
% 5.31/4.22 tff(18390,plain,
% 5.31/4.22 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s28) | (~until27(s28)) | xuntil28(s28))),
% 5.31/4.22 inference(quant_inst,[status(thm)],[])).
% 5.31/4.22 tff(18391,plain,
% 5.31/4.22 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s28) | node26(s28) | (~until27(s28))),
% 5.31/4.22 inference(modus_ponens,[status(thm)],[18390, 18389])).
% 5.31/4.22 tff(18392,plain,
% 5.31/4.22 (xuntil28(s28) | (~until27(s28))),
% 5.31/4.22 inference(unit_resolution,[status(thm)],[18391, 17992, 18385])).
% 5.31/4.22 tff(18393,plain,
% 5.31/4.22 (xuntil28(s28)),
% 5.31/4.22 inference(unit_resolution,[status(thm)],[18392, 18381])).
% 5.31/4.22 tff(18394,plain,
% 5.31/4.22 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s28, s29)) | (~xuntil28(s28)) | until27(s29))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s28, s29)) | (~xuntil28(s28)) | until27(s29))),
% 5.31/4.22 inference(rewrite,[status(thm)],[])).
% 5.31/4.22 tff(18395,plain,
% 5.31/4.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s28, s29)) | (~xuntil28(s28)) | until27(s29))),
% 5.31/4.22 inference(quant_inst,[status(thm)],[])).
% 5.31/4.22 tff(18396,plain,
% 5.31/4.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s28, s29)) | (~xuntil28(s28)) | until27(s29)),
% 5.31/4.22 inference(modus_ponens,[status(thm)],[18395, 18394])).
% 5.31/4.22 tff(18397,plain,
% 5.31/4.22 ((~xuntil28(s28)) | until27(s29)),
% 5.31/4.22 inference(unit_resolution,[status(thm)],[18396, 2693, 18010])).
% 5.31/4.22 tff(18398,plain,
% 5.31/4.22 (until27(s29)),
% 5.31/4.22 inference(unit_resolution,[status(thm)],[18397, 18393])).
% 5.31/4.22 tff(18399,plain,
% 5.31/4.22 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s29) | node26(s29) | (~until27(s29)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s29) | node26(s29) | (~until27(s29)))),
% 5.31/4.22 inference(rewrite,[status(thm)],[])).
% 5.31/4.22 tff(18400,plain,
% 5.31/4.22 ((node26(s29) | (~until27(s29)) | xuntil28(s29)) <=> (xuntil28(s29) | node26(s29) | (~until27(s29)))),
% 5.31/4.22 inference(rewrite,[status(thm)],[])).
% 5.31/4.22 tff(18401,plain,
% 5.31/4.22 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s29) | (~until27(s29)) | xuntil28(s29))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s29) | node26(s29) | (~until27(s29))))),
% 5.31/4.22 inference(monotonicity,[status(thm)],[18400])).
% 5.31/4.22 tff(18402,plain,
% 5.31/4.22 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s29) | (~until27(s29)) | xuntil28(s29))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s29) | node26(s29) | (~until27(s29)))),
% 5.31/4.22 inference(transitivity,[status(thm)],[18401, 18399])).
% 5.31/4.22 tff(18403,plain,
% 5.31/4.22 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s29) | (~until27(s29)) | xuntil28(s29))),
% 5.31/4.22 inference(quant_inst,[status(thm)],[])).
% 5.31/4.22 tff(18404,plain,
% 5.31/4.22 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s29) | node26(s29) | (~until27(s29))),
% 5.31/4.22 inference(modus_ponens,[status(thm)],[18403, 18402])).
% 5.31/4.22 tff(18405,plain,
% 5.31/4.22 (xuntil28(s29)),
% 5.31/4.22 inference(unit_resolution,[status(thm)],[18404, 17992, 18398, 17771])).
% 5.31/4.22 tff(18406,plain,
% 5.31/4.22 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s29, s30)) | (~xuntil28(s29)) | until27(s30))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s29, s30)) | (~xuntil28(s29)) | until27(s30))),
% 5.31/4.22 inference(rewrite,[status(thm)],[])).
% 5.31/4.22 tff(18407,plain,
% 5.31/4.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s29, s30)) | (~xuntil28(s29)) | until27(s30))),
% 5.31/4.22 inference(quant_inst,[status(thm)],[])).
% 5.31/4.22 tff(18408,plain,
% 5.31/4.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s29, s30)) | (~xuntil28(s29)) | until27(s30)),
% 5.31/4.22 inference(modus_ponens,[status(thm)],[18407, 18406])).
% 5.31/4.22 tff(18409,plain,
% 5.31/4.22 ((~xuntil28(s29)) | until27(s30)),
% 5.31/4.22 inference(unit_resolution,[status(thm)],[18408, 2788, 18010])).
% 5.31/4.22 tff(18410,plain,
% 5.31/4.22 (until27(s30)),
% 5.31/4.22 inference(unit_resolution,[status(thm)],[18409, 18405])).
% 5.31/4.22 tff(18411,plain,
% 5.31/4.22 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s30) | node26(s30) | (~until27(s30)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s30) | node26(s30) | (~until27(s30)))),
% 5.31/4.22 inference(rewrite,[status(thm)],[])).
% 5.31/4.22 tff(18412,plain,
% 5.31/4.22 ((node26(s30) | (~until27(s30)) | xuntil28(s30)) <=> (xuntil28(s30) | node26(s30) | (~until27(s30)))),
% 5.31/4.22 inference(rewrite,[status(thm)],[])).
% 5.31/4.22 tff(18413,plain,
% 5.31/4.22 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s30) | (~until27(s30)) | xuntil28(s30))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s30) | node26(s30) | (~until27(s30))))),
% 5.31/4.22 inference(monotonicity,[status(thm)],[18412])).
% 5.31/4.22 tff(18414,plain,
% 5.31/4.22 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s30) | (~until27(s30)) | xuntil28(s30))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s30) | node26(s30) | (~until27(s30)))),
% 5.31/4.22 inference(transitivity,[status(thm)],[18413, 18411])).
% 5.31/4.22 tff(18415,plain,
% 5.31/4.22 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s30) | (~until27(s30)) | xuntil28(s30))),
% 5.31/4.22 inference(quant_inst,[status(thm)],[])).
% 5.31/4.22 tff(18416,plain,
% 5.31/4.22 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s30) | node26(s30) | (~until27(s30))),
% 5.31/4.22 inference(modus_ponens,[status(thm)],[18415, 18414])).
% 5.31/4.22 tff(18417,plain,
% 5.31/4.22 (xuntil28(s30) | node26(s30)),
% 5.31/4.22 inference(unit_resolution,[status(thm)],[18416, 17992, 18410])).
% 5.31/4.22 tff(18418,plain,
% 5.31/4.22 (xuntil28(s30)),
% 5.31/4.22 inference(unit_resolution,[status(thm)],[18417, 17767])).
% 5.31/4.22 tff(18419,plain,
% 5.31/4.22 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s30, s31)) | (~xuntil28(s30)) | until27(s31))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s30, s31)) | (~xuntil28(s30)) | until27(s31))),
% 5.31/4.22 inference(rewrite,[status(thm)],[])).
% 5.31/4.22 tff(18420,plain,
% 5.31/4.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s30, s31)) | (~xuntil28(s30)) | until27(s31))),
% 5.31/4.22 inference(quant_inst,[status(thm)],[])).
% 5.31/4.22 tff(18421,plain,
% 5.31/4.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s30, s31)) | (~xuntil28(s30)) | until27(s31)),
% 5.31/4.22 inference(modus_ponens,[status(thm)],[18420, 18419])).
% 5.31/4.22 tff(18422,plain,
% 5.31/4.22 ((~xuntil28(s30)) | until27(s31)),
% 5.31/4.22 inference(unit_resolution,[status(thm)],[18421, 2852, 18010])).
% 5.31/4.22 tff(18423,plain,
% 5.31/4.22 (until27(s31)),
% 5.31/4.22 inference(unit_resolution,[status(thm)],[18422, 18418])).
% 5.31/4.22 tff(18424,plain,
% 5.31/4.22 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s31) | node26(s31) | (~until27(s31)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s31) | node26(s31) | (~until27(s31)))),
% 5.31/4.22 inference(rewrite,[status(thm)],[])).
% 5.31/4.22 tff(18425,plain,
% 5.31/4.22 ((node26(s31) | (~until27(s31)) | xuntil28(s31)) <=> (xuntil28(s31) | node26(s31) | (~until27(s31)))),
% 5.31/4.22 inference(rewrite,[status(thm)],[])).
% 5.31/4.22 tff(18426,plain,
% 5.31/4.22 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s31) | (~until27(s31)) | xuntil28(s31))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s31) | node26(s31) | (~until27(s31))))),
% 5.31/4.22 inference(monotonicity,[status(thm)],[18425])).
% 5.31/4.22 tff(18427,plain,
% 5.31/4.22 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s31) | (~until27(s31)) | xuntil28(s31))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s31) | node26(s31) | (~until27(s31)))),
% 5.31/4.22 inference(transitivity,[status(thm)],[18426, 18424])).
% 5.31/4.22 tff(18428,plain,
% 5.31/4.22 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s31) | (~until27(s31)) | xuntil28(s31))),
% 5.31/4.22 inference(quant_inst,[status(thm)],[])).
% 5.31/4.22 tff(18429,plain,
% 5.31/4.22 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s31) | node26(s31) | (~until27(s31))),
% 5.31/4.22 inference(modus_ponens,[status(thm)],[18428, 18427])).
% 5.31/4.22 tff(18430,plain,
% 5.31/4.22 (xuntil28(s31)),
% 5.31/4.22 inference(unit_resolution,[status(thm)],[18429, 17992, 18423, 17758])).
% 5.31/4.22 tff(18431,plain,
% 5.31/4.22 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s31, s32)) | (~xuntil28(s31)) | until27(s32))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s31, s32)) | (~xuntil28(s31)) | until27(s32))),
% 5.31/4.22 inference(rewrite,[status(thm)],[])).
% 5.31/4.22 tff(18432,plain,
% 5.31/4.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s31, s32)) | (~xuntil28(s31)) | until27(s32))),
% 5.31/4.22 inference(quant_inst,[status(thm)],[])).
% 5.31/4.22 tff(18433,plain,
% 5.31/4.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s31, s32)) | (~xuntil28(s31)) | until27(s32)),
% 5.31/4.22 inference(modus_ponens,[status(thm)],[18432, 18431])).
% 5.31/4.22 tff(18434,plain,
% 5.31/4.22 ((~xuntil28(s31)) | until27(s32)),
% 5.31/4.22 inference(unit_resolution,[status(thm)],[18433, 2927, 18010])).
% 5.31/4.22 tff(18435,plain,
% 5.31/4.22 (until27(s32)),
% 5.31/4.22 inference(unit_resolution,[status(thm)],[18434, 18430])).
% 5.31/4.22 tff(18436,plain,
% 5.31/4.22 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s32) | (~node26(s32)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s32) | (~node26(s32)))),
% 5.31/4.22 inference(rewrite,[status(thm)],[])).
% 5.31/4.22 tff(18437,plain,
% 5.31/4.22 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s32) | (~node26(s32)))),
% 5.31/4.22 inference(quant_inst,[status(thm)],[])).
% 5.31/4.22 tff(18438,plain,
% 5.31/4.22 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s32) | (~node26(s32))),
% 5.31/4.22 inference(modus_ponens,[status(thm)],[18437, 18436])).
% 5.31/4.22 tff(18439,plain,
% 5.31/4.22 (~node26(s32)),
% 5.31/4.22 inference(unit_resolution,[status(thm)],[18438, 16500, 17749])).
% 5.31/4.22 tff(18440,plain,
% 5.31/4.22 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s32) | node26(s32) | (~until27(s32)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s32) | node26(s32) | (~until27(s32)))),
% 5.31/4.22 inference(rewrite,[status(thm)],[])).
% 5.31/4.22 tff(18441,plain,
% 5.31/4.22 ((node26(s32) | (~until27(s32)) | xuntil28(s32)) <=> (xuntil28(s32) | node26(s32) | (~until27(s32)))),
% 5.31/4.22 inference(rewrite,[status(thm)],[])).
% 5.31/4.22 tff(18442,plain,
% 5.31/4.22 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s32) | (~until27(s32)) | xuntil28(s32))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s32) | node26(s32) | (~until27(s32))))),
% 5.31/4.22 inference(monotonicity,[status(thm)],[18441])).
% 5.31/4.22 tff(18443,plain,
% 5.31/4.22 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s32) | (~until27(s32)) | xuntil28(s32))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s32) | node26(s32) | (~until27(s32)))),
% 5.31/4.22 inference(transitivity,[status(thm)],[18442, 18440])).
% 5.31/4.22 tff(18444,plain,
% 5.31/4.22 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s32) | (~until27(s32)) | xuntil28(s32))),
% 5.31/4.22 inference(quant_inst,[status(thm)],[])).
% 5.31/4.22 tff(18445,plain,
% 5.31/4.22 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s32) | node26(s32) | (~until27(s32))),
% 5.31/4.22 inference(modus_ponens,[status(thm)],[18444, 18443])).
% 5.31/4.22 tff(18446,plain,
% 5.31/4.22 (xuntil28(s32) | (~until27(s32))),
% 5.31/4.22 inference(unit_resolution,[status(thm)],[18445, 17992, 18439])).
% 5.31/4.22 tff(18447,plain,
% 5.31/4.22 (xuntil28(s32)),
% 5.31/4.22 inference(unit_resolution,[status(thm)],[18446, 18435])).
% 5.31/4.22 tff(18448,plain,
% 5.31/4.22 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s32, s33)) | (~xuntil28(s32)) | until27(s33))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s32, s33)) | (~xuntil28(s32)) | until27(s33))),
% 5.31/4.22 inference(rewrite,[status(thm)],[])).
% 5.31/4.22 tff(18449,plain,
% 5.31/4.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s32, s33)) | (~xuntil28(s32)) | until27(s33))),
% 5.31/4.22 inference(quant_inst,[status(thm)],[])).
% 5.31/4.22 tff(18450,plain,
% 5.31/4.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s32, s33)) | (~xuntil28(s32)) | until27(s33)),
% 5.31/4.22 inference(modus_ponens,[status(thm)],[18449, 18448])).
% 5.31/4.22 tff(18451,plain,
% 5.31/4.22 ((~xuntil28(s32)) | until27(s33)),
% 5.31/4.22 inference(unit_resolution,[status(thm)],[18450, 3016, 18010])).
% 5.31/4.22 tff(18452,plain,
% 5.31/4.22 (until27(s33)),
% 5.31/4.22 inference(unit_resolution,[status(thm)],[18451, 18447])).
% 5.31/4.22 tff(18453,plain,
% 5.31/4.22 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s33) | node26(s33) | (~until27(s33)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s33) | node26(s33) | (~until27(s33)))),
% 5.31/4.22 inference(rewrite,[status(thm)],[])).
% 5.31/4.22 tff(18454,plain,
% 5.31/4.22 ((node26(s33) | (~until27(s33)) | xuntil28(s33)) <=> (xuntil28(s33) | node26(s33) | (~until27(s33)))),
% 5.31/4.22 inference(rewrite,[status(thm)],[])).
% 5.31/4.22 tff(18455,plain,
% 5.31/4.22 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s33) | (~until27(s33)) | xuntil28(s33))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s33) | node26(s33) | (~until27(s33))))),
% 5.31/4.22 inference(monotonicity,[status(thm)],[18454])).
% 5.31/4.22 tff(18456,plain,
% 5.31/4.22 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s33) | (~until27(s33)) | xuntil28(s33))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s33) | node26(s33) | (~until27(s33)))),
% 5.31/4.22 inference(transitivity,[status(thm)],[18455, 18453])).
% 5.31/4.22 tff(18457,plain,
% 5.31/4.22 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s33) | (~until27(s33)) | xuntil28(s33))),
% 5.31/4.22 inference(quant_inst,[status(thm)],[])).
% 5.31/4.22 tff(18458,plain,
% 5.31/4.22 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s33) | node26(s33) | (~until27(s33))),
% 5.31/4.22 inference(modus_ponens,[status(thm)],[18457, 18456])).
% 5.31/4.22 tff(18459,plain,
% 5.31/4.22 (xuntil28(s33)),
% 5.31/4.22 inference(unit_resolution,[status(thm)],[18458, 17992, 18452, 17742])).
% 5.31/4.22 tff(18460,plain,
% 5.31/4.22 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s33, s34)) | (~xuntil28(s33)) | until27(s34))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s33, s34)) | (~xuntil28(s33)) | until27(s34))),
% 5.31/4.22 inference(rewrite,[status(thm)],[])).
% 5.31/4.22 tff(18461,plain,
% 5.31/4.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s33, s34)) | (~xuntil28(s33)) | until27(s34))),
% 5.31/4.22 inference(quant_inst,[status(thm)],[])).
% 5.31/4.22 tff(18462,plain,
% 5.31/4.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s33, s34)) | (~xuntil28(s33)) | until27(s34)),
% 5.31/4.22 inference(modus_ponens,[status(thm)],[18461, 18460])).
% 5.31/4.22 tff(18463,plain,
% 5.31/4.22 ((~xuntil28(s33)) | until27(s34)),
% 5.31/4.22 inference(unit_resolution,[status(thm)],[18462, 3083, 18010])).
% 5.31/4.22 tff(18464,plain,
% 5.31/4.22 (until27(s34)),
% 5.31/4.22 inference(unit_resolution,[status(thm)],[18463, 18459])).
% 5.31/4.22 tff(18465,plain,
% 5.31/4.22 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s34) | node26(s34) | (~until27(s34)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s34) | node26(s34) | (~until27(s34)))),
% 5.31/4.22 inference(rewrite,[status(thm)],[])).
% 5.31/4.22 tff(18466,plain,
% 5.31/4.22 ((node26(s34) | (~until27(s34)) | xuntil28(s34)) <=> (xuntil28(s34) | node26(s34) | (~until27(s34)))),
% 5.31/4.22 inference(rewrite,[status(thm)],[])).
% 5.31/4.22 tff(18467,plain,
% 5.31/4.22 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s34) | (~until27(s34)) | xuntil28(s34))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s34) | node26(s34) | (~until27(s34))))),
% 5.31/4.22 inference(monotonicity,[status(thm)],[18466])).
% 5.31/4.22 tff(18468,plain,
% 5.31/4.22 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s34) | (~until27(s34)) | xuntil28(s34))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s34) | node26(s34) | (~until27(s34)))),
% 5.31/4.22 inference(transitivity,[status(thm)],[18467, 18465])).
% 5.31/4.22 tff(18469,plain,
% 5.31/4.22 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s34) | (~until27(s34)) | xuntil28(s34))),
% 5.31/4.22 inference(quant_inst,[status(thm)],[])).
% 5.31/4.22 tff(18470,plain,
% 5.31/4.22 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s34) | node26(s34) | (~until27(s34))),
% 5.31/4.22 inference(modus_ponens,[status(thm)],[18469, 18468])).
% 5.31/4.22 tff(18471,plain,
% 5.31/4.22 (xuntil28(s34) | node26(s34)),
% 5.31/4.22 inference(unit_resolution,[status(thm)],[18470, 17992, 18464])).
% 5.31/4.22 tff(18472,plain,
% 5.31/4.22 (xuntil28(s34)),
% 5.31/4.22 inference(unit_resolution,[status(thm)],[18471, 17738])).
% 5.31/4.22 tff(18473,plain,
% 5.31/4.22 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s34, s35)) | (~xuntil28(s34)) | until27(s35))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s34, s35)) | (~xuntil28(s34)) | until27(s35))),
% 5.31/4.22 inference(rewrite,[status(thm)],[])).
% 5.31/4.22 tff(18474,plain,
% 5.31/4.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s34, s35)) | (~xuntil28(s34)) | until27(s35))),
% 5.31/4.22 inference(quant_inst,[status(thm)],[])).
% 5.31/4.22 tff(18475,plain,
% 5.31/4.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s34, s35)) | (~xuntil28(s34)) | until27(s35)),
% 5.31/4.22 inference(modus_ponens,[status(thm)],[18474, 18473])).
% 5.31/4.22 tff(18476,plain,
% 5.31/4.22 ((~xuntil28(s34)) | until27(s35)),
% 5.31/4.22 inference(unit_resolution,[status(thm)],[18475, 3182, 18010])).
% 5.31/4.22 tff(18477,plain,
% 5.31/4.22 (until27(s35)),
% 5.31/4.22 inference(unit_resolution,[status(thm)],[18476, 18472])).
% 5.31/4.22 tff(18478,plain,
% 5.31/4.22 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s35) | node26(s35) | (~until27(s35)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s35) | node26(s35) | (~until27(s35)))),
% 5.31/4.22 inference(rewrite,[status(thm)],[])).
% 5.31/4.22 tff(18479,plain,
% 5.31/4.22 ((node26(s35) | (~until27(s35)) | xuntil28(s35)) <=> (xuntil28(s35) | node26(s35) | (~until27(s35)))),
% 5.31/4.22 inference(rewrite,[status(thm)],[])).
% 5.31/4.22 tff(18480,plain,
% 5.31/4.22 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s35) | (~until27(s35)) | xuntil28(s35))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s35) | node26(s35) | (~until27(s35))))),
% 5.31/4.22 inference(monotonicity,[status(thm)],[18479])).
% 5.31/4.22 tff(18481,plain,
% 5.31/4.22 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s35) | (~until27(s35)) | xuntil28(s35))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s35) | node26(s35) | (~until27(s35)))),
% 5.31/4.22 inference(transitivity,[status(thm)],[18480, 18478])).
% 5.31/4.22 tff(18482,plain,
% 5.31/4.22 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s35) | (~until27(s35)) | xuntil28(s35))),
% 5.31/4.22 inference(quant_inst,[status(thm)],[])).
% 5.31/4.22 tff(18483,plain,
% 5.31/4.22 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s35) | node26(s35) | (~until27(s35))),
% 5.31/4.22 inference(modus_ponens,[status(thm)],[18482, 18481])).
% 5.31/4.22 tff(18484,plain,
% 5.31/4.22 (xuntil28(s35)),
% 5.31/4.22 inference(unit_resolution,[status(thm)],[18483, 17992, 18477, 17729])).
% 5.31/4.22 tff(18485,plain,
% 5.31/4.22 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s35, s36)) | (~xuntil28(s35)) | until27(s36))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s35, s36)) | (~xuntil28(s35)) | until27(s36))),
% 5.31/4.22 inference(rewrite,[status(thm)],[])).
% 5.31/4.22 tff(18486,plain,
% 5.31/4.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s35, s36)) | (~xuntil28(s35)) | until27(s36))),
% 5.31/4.22 inference(quant_inst,[status(thm)],[])).
% 5.31/4.22 tff(18487,plain,
% 5.31/4.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s35, s36)) | (~xuntil28(s35)) | until27(s36)),
% 5.31/4.22 inference(modus_ponens,[status(thm)],[18486, 18485])).
% 5.31/4.22 tff(18488,plain,
% 5.31/4.22 ((~xuntil28(s35)) | until27(s36)),
% 5.31/4.22 inference(unit_resolution,[status(thm)],[18487, 3260, 18010])).
% 5.31/4.22 tff(18489,plain,
% 5.31/4.22 (until27(s36)),
% 5.31/4.22 inference(unit_resolution,[status(thm)],[18488, 18484])).
% 5.31/4.22 tff(18490,plain,
% 5.31/4.22 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s36) | (~node26(s36)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s36) | (~node26(s36)))),
% 5.31/4.22 inference(rewrite,[status(thm)],[])).
% 5.31/4.22 tff(18491,plain,
% 5.31/4.22 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s36) | (~node26(s36)))),
% 5.31/4.22 inference(quant_inst,[status(thm)],[])).
% 5.31/4.22 tff(18492,plain,
% 5.31/4.22 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s36) | (~node26(s36))),
% 5.31/4.22 inference(modus_ponens,[status(thm)],[18491, 18490])).
% 5.31/4.22 tff(18493,plain,
% 5.31/4.22 (~node26(s36)),
% 5.31/4.22 inference(unit_resolution,[status(thm)],[18492, 16500, 17720])).
% 5.31/4.22 tff(18494,plain,
% 5.31/4.22 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s36) | node26(s36) | (~until27(s36)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s36) | node26(s36) | (~until27(s36)))),
% 5.31/4.22 inference(rewrite,[status(thm)],[])).
% 5.31/4.22 tff(18495,plain,
% 5.31/4.22 ((node26(s36) | (~until27(s36)) | xuntil28(s36)) <=> (xuntil28(s36) | node26(s36) | (~until27(s36)))),
% 5.31/4.22 inference(rewrite,[status(thm)],[])).
% 5.31/4.22 tff(18496,plain,
% 5.31/4.22 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s36) | (~until27(s36)) | xuntil28(s36))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s36) | node26(s36) | (~until27(s36))))),
% 5.31/4.22 inference(monotonicity,[status(thm)],[18495])).
% 5.31/4.22 tff(18497,plain,
% 5.31/4.22 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s36) | (~until27(s36)) | xuntil28(s36))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s36) | node26(s36) | (~until27(s36)))),
% 5.31/4.22 inference(transitivity,[status(thm)],[18496, 18494])).
% 5.31/4.22 tff(18498,plain,
% 5.31/4.22 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s36) | (~until27(s36)) | xuntil28(s36))),
% 5.31/4.22 inference(quant_inst,[status(thm)],[])).
% 5.31/4.22 tff(18499,plain,
% 5.31/4.22 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s36) | node26(s36) | (~until27(s36))),
% 5.31/4.22 inference(modus_ponens,[status(thm)],[18498, 18497])).
% 5.31/4.22 tff(18500,plain,
% 5.31/4.22 (xuntil28(s36) | (~until27(s36))),
% 5.31/4.22 inference(unit_resolution,[status(thm)],[18499, 17992, 18493])).
% 5.31/4.22 tff(18501,plain,
% 5.31/4.22 (xuntil28(s36)),
% 5.31/4.22 inference(unit_resolution,[status(thm)],[18500, 18489])).
% 5.31/4.22 tff(18502,plain,
% 5.31/4.22 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s36, s37)) | (~xuntil28(s36)) | until27(s37))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s36, s37)) | (~xuntil28(s36)) | until27(s37))),
% 5.31/4.22 inference(rewrite,[status(thm)],[])).
% 5.31/4.22 tff(18503,plain,
% 5.31/4.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s36, s37)) | (~xuntil28(s36)) | until27(s37))),
% 5.31/4.22 inference(quant_inst,[status(thm)],[])).
% 5.31/4.22 tff(18504,plain,
% 5.31/4.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s36, s37)) | (~xuntil28(s36)) | until27(s37)),
% 5.31/4.22 inference(modus_ponens,[status(thm)],[18503, 18502])).
% 5.31/4.22 tff(18505,plain,
% 5.31/4.22 ((~xuntil28(s36)) | until27(s37)),
% 5.31/4.22 inference(unit_resolution,[status(thm)],[18504, 3321, 18010])).
% 5.31/4.22 tff(18506,plain,
% 5.31/4.22 (until27(s37)),
% 5.31/4.22 inference(unit_resolution,[status(thm)],[18505, 18501])).
% 5.31/4.22 tff(18507,plain,
% 5.31/4.22 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s37) | node26(s37) | (~until27(s37)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s37) | node26(s37) | (~until27(s37)))),
% 5.31/4.22 inference(rewrite,[status(thm)],[])).
% 5.31/4.22 tff(18508,plain,
% 5.31/4.22 ((node26(s37) | (~until27(s37)) | xuntil28(s37)) <=> (xuntil28(s37) | node26(s37) | (~until27(s37)))),
% 5.31/4.22 inference(rewrite,[status(thm)],[])).
% 5.31/4.22 tff(18509,plain,
% 5.31/4.22 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s37) | (~until27(s37)) | xuntil28(s37))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s37) | node26(s37) | (~until27(s37))))),
% 5.31/4.22 inference(monotonicity,[status(thm)],[18508])).
% 5.31/4.22 tff(18510,plain,
% 5.31/4.22 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s37) | (~until27(s37)) | xuntil28(s37))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s37) | node26(s37) | (~until27(s37)))),
% 5.31/4.22 inference(transitivity,[status(thm)],[18509, 18507])).
% 5.31/4.22 tff(18511,plain,
% 5.31/4.22 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s37) | (~until27(s37)) | xuntil28(s37))),
% 5.31/4.22 inference(quant_inst,[status(thm)],[])).
% 5.31/4.22 tff(18512,plain,
% 5.31/4.22 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s37) | node26(s37) | (~until27(s37))),
% 5.31/4.22 inference(modus_ponens,[status(thm)],[18511, 18510])).
% 5.31/4.22 tff(18513,plain,
% 5.31/4.22 (xuntil28(s37)),
% 5.31/4.22 inference(unit_resolution,[status(thm)],[18512, 17992, 18506, 17713])).
% 5.31/4.22 tff(18514,plain,
% 5.31/4.22 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s37, s38)) | (~xuntil28(s37)) | until27(s38))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s37, s38)) | (~xuntil28(s37)) | until27(s38))),
% 5.31/4.22 inference(rewrite,[status(thm)],[])).
% 5.31/4.22 tff(18515,plain,
% 5.31/4.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s37, s38)) | (~xuntil28(s37)) | until27(s38))),
% 5.31/4.22 inference(quant_inst,[status(thm)],[])).
% 5.31/4.22 tff(18516,plain,
% 5.31/4.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s37, s38)) | (~xuntil28(s37)) | until27(s38)),
% 5.31/4.22 inference(modus_ponens,[status(thm)],[18515, 18514])).
% 5.31/4.22 tff(18517,plain,
% 5.31/4.22 ((~xuntil28(s37)) | until27(s38)),
% 5.31/4.22 inference(unit_resolution,[status(thm)],[18516, 3416, 18010])).
% 5.31/4.22 tff(18518,plain,
% 5.31/4.22 (until27(s38)),
% 5.31/4.22 inference(unit_resolution,[status(thm)],[18517, 18513])).
% 5.31/4.22 tff(18519,plain,
% 5.31/4.22 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s38) | node26(s38) | (~until27(s38)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s38) | node26(s38) | (~until27(s38)))),
% 5.31/4.22 inference(rewrite,[status(thm)],[])).
% 5.31/4.22 tff(18520,plain,
% 5.31/4.22 ((node26(s38) | (~until27(s38)) | xuntil28(s38)) <=> (xuntil28(s38) | node26(s38) | (~until27(s38)))),
% 5.31/4.22 inference(rewrite,[status(thm)],[])).
% 5.31/4.22 tff(18521,plain,
% 5.31/4.22 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s38) | (~until27(s38)) | xuntil28(s38))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s38) | node26(s38) | (~until27(s38))))),
% 5.31/4.22 inference(monotonicity,[status(thm)],[18520])).
% 5.31/4.22 tff(18522,plain,
% 5.31/4.22 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s38) | (~until27(s38)) | xuntil28(s38))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s38) | node26(s38) | (~until27(s38)))),
% 5.31/4.22 inference(transitivity,[status(thm)],[18521, 18519])).
% 5.31/4.22 tff(18523,plain,
% 5.31/4.22 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s38) | (~until27(s38)) | xuntil28(s38))),
% 5.31/4.22 inference(quant_inst,[status(thm)],[])).
% 5.31/4.22 tff(18524,plain,
% 5.31/4.22 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s38) | node26(s38) | (~until27(s38))),
% 5.31/4.22 inference(modus_ponens,[status(thm)],[18523, 18522])).
% 5.31/4.22 tff(18525,plain,
% 5.31/4.22 (xuntil28(s38) | node26(s38)),
% 5.31/4.22 inference(unit_resolution,[status(thm)],[18524, 17992, 18518])).
% 5.31/4.22 tff(18526,plain,
% 5.31/4.22 (xuntil28(s38)),
% 5.31/4.22 inference(unit_resolution,[status(thm)],[18525, 17709])).
% 5.31/4.22 tff(18527,plain,
% 5.31/4.22 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s38, s39)) | (~xuntil28(s38)) | until27(s39))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s38, s39)) | (~xuntil28(s38)) | until27(s39))),
% 5.31/4.22 inference(rewrite,[status(thm)],[])).
% 5.31/4.22 tff(18528,plain,
% 5.31/4.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s38, s39)) | (~xuntil28(s38)) | until27(s39))),
% 5.31/4.22 inference(quant_inst,[status(thm)],[])).
% 5.31/4.22 tff(18529,plain,
% 5.31/4.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s38, s39)) | (~xuntil28(s38)) | until27(s39)),
% 5.31/4.22 inference(modus_ponens,[status(thm)],[18528, 18527])).
% 5.31/4.22 tff(18530,plain,
% 5.31/4.22 ((~xuntil28(s38)) | until27(s39)),
% 5.31/4.22 inference(unit_resolution,[status(thm)],[18529, 3480, 18010])).
% 5.31/4.22 tff(18531,plain,
% 5.31/4.22 (until27(s39)),
% 5.31/4.22 inference(unit_resolution,[status(thm)],[18530, 18526])).
% 5.31/4.22 tff(18532,plain,
% 5.31/4.22 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s39) | node26(s39) | (~until27(s39)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s39) | node26(s39) | (~until27(s39)))),
% 5.31/4.22 inference(rewrite,[status(thm)],[])).
% 5.31/4.22 tff(18533,plain,
% 5.31/4.22 ((node26(s39) | (~until27(s39)) | xuntil28(s39)) <=> (xuntil28(s39) | node26(s39) | (~until27(s39)))),
% 5.31/4.22 inference(rewrite,[status(thm)],[])).
% 5.31/4.22 tff(18534,plain,
% 5.31/4.22 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s39) | (~until27(s39)) | xuntil28(s39))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s39) | node26(s39) | (~until27(s39))))),
% 5.31/4.22 inference(monotonicity,[status(thm)],[18533])).
% 5.31/4.22 tff(18535,plain,
% 5.31/4.22 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s39) | (~until27(s39)) | xuntil28(s39))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s39) | node26(s39) | (~until27(s39)))),
% 5.31/4.22 inference(transitivity,[status(thm)],[18534, 18532])).
% 5.31/4.22 tff(18536,plain,
% 5.31/4.22 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s39) | (~until27(s39)) | xuntil28(s39))),
% 5.31/4.22 inference(quant_inst,[status(thm)],[])).
% 5.31/4.22 tff(18537,plain,
% 5.31/4.22 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s39) | node26(s39) | (~until27(s39))),
% 5.31/4.22 inference(modus_ponens,[status(thm)],[18536, 18535])).
% 5.31/4.22 tff(18538,plain,
% 5.31/4.22 (xuntil28(s39)),
% 5.31/4.22 inference(unit_resolution,[status(thm)],[18537, 17992, 18531, 17700])).
% 5.31/4.22 tff(18539,plain,
% 5.31/4.22 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s39, s40)) | (~xuntil28(s39)) | until27(s40))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s39, s40)) | (~xuntil28(s39)) | until27(s40))),
% 5.31/4.22 inference(rewrite,[status(thm)],[])).
% 5.31/4.22 tff(18540,plain,
% 5.31/4.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s39, s40)) | (~xuntil28(s39)) | until27(s40))),
% 5.31/4.22 inference(quant_inst,[status(thm)],[])).
% 5.31/4.22 tff(18541,plain,
% 5.31/4.22 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s39, s40)) | (~xuntil28(s39)) | until27(s40)),
% 5.31/4.22 inference(modus_ponens,[status(thm)],[18540, 18539])).
% 5.31/4.22 tff(18542,plain,
% 5.31/4.22 ((~xuntil28(s39)) | until27(s40)),
% 5.31/4.22 inference(unit_resolution,[status(thm)],[18541, 3555, 18010])).
% 5.31/4.22 tff(18543,plain,
% 5.31/4.22 (until27(s40)),
% 5.31/4.22 inference(unit_resolution,[status(thm)],[18542, 18538])).
% 5.31/4.22 tff(18544,plain,
% 5.31/4.22 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s40) | (~node26(s40)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s40) | (~node26(s40)))),
% 5.31/4.22 inference(rewrite,[status(thm)],[])).
% 5.31/4.22 tff(18545,plain,
% 5.31/4.22 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s40) | (~node26(s40)))),
% 5.31/4.22 inference(quant_inst,[status(thm)],[])).
% 5.31/4.22 tff(18546,plain,
% 5.31/4.22 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s40) | (~node26(s40))),
% 5.31/4.22 inference(modus_ponens,[status(thm)],[18545, 18544])).
% 5.31/4.22 tff(18547,plain,
% 5.31/4.22 (~node26(s40)),
% 5.31/4.22 inference(unit_resolution,[status(thm)],[18546, 16500, 17691])).
% 5.31/4.22 tff(18548,plain,
% 5.31/4.22 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s40) | node26(s40) | (~until27(s40)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s40) | node26(s40) | (~until27(s40)))),
% 5.31/4.22 inference(rewrite,[status(thm)],[])).
% 5.31/4.22 tff(18549,plain,
% 5.31/4.22 ((node26(s40) | (~until27(s40)) | xuntil28(s40)) <=> (xuntil28(s40) | node26(s40) | (~until27(s40)))),
% 5.31/4.22 inference(rewrite,[status(thm)],[])).
% 5.31/4.22 tff(18550,plain,
% 5.31/4.22 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s40) | (~until27(s40)) | xuntil28(s40))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s40) | node26(s40) | (~until27(s40))))),
% 5.31/4.22 inference(monotonicity,[status(thm)],[18549])).
% 5.31/4.22 tff(18551,plain,
% 5.31/4.22 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s40) | (~until27(s40)) | xuntil28(s40))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s40) | node26(s40) | (~until27(s40)))),
% 5.31/4.22 inference(transitivity,[status(thm)],[18550, 18548])).
% 5.31/4.22 tff(18552,plain,
% 5.31/4.22 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s40) | (~until27(s40)) | xuntil28(s40))),
% 5.31/4.22 inference(quant_inst,[status(thm)],[])).
% 5.31/4.22 tff(18553,plain,
% 5.31/4.22 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s40) | node26(s40) | (~until27(s40))),
% 5.31/4.22 inference(modus_ponens,[status(thm)],[18552, 18551])).
% 5.31/4.22 tff(18554,plain,
% 5.31/4.22 (xuntil28(s40) | (~until27(s40))),
% 5.31/4.22 inference(unit_resolution,[status(thm)],[18553, 17992, 18547])).
% 5.31/4.22 tff(18555,plain,
% 5.31/4.22 (xuntil28(s40)),
% 5.31/4.22 inference(unit_resolution,[status(thm)],[18554, 18543])).
% 5.31/4.22 tff(18556,plain,
% 5.31/4.22 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s40, s41)) | (~xuntil28(s40)) | until27(s41))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s40, s41)) | (~xuntil28(s40)) | until27(s41))),
% 5.31/4.23 inference(rewrite,[status(thm)],[])).
% 5.31/4.23 tff(18557,plain,
% 5.31/4.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s40, s41)) | (~xuntil28(s40)) | until27(s41))),
% 5.31/4.23 inference(quant_inst,[status(thm)],[])).
% 5.31/4.23 tff(18558,plain,
% 5.31/4.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s40, s41)) | (~xuntil28(s40)) | until27(s41)),
% 5.31/4.23 inference(modus_ponens,[status(thm)],[18557, 18556])).
% 5.31/4.23 tff(18559,plain,
% 5.31/4.23 ((~xuntil28(s40)) | until27(s41)),
% 5.31/4.23 inference(unit_resolution,[status(thm)],[18558, 3644, 18010])).
% 5.31/4.23 tff(18560,plain,
% 5.31/4.23 (until27(s41)),
% 5.31/4.23 inference(unit_resolution,[status(thm)],[18559, 18555])).
% 5.31/4.23 tff(18561,plain,
% 5.31/4.23 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s41) | node26(s41) | (~until27(s41)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s41) | node26(s41) | (~until27(s41)))),
% 5.31/4.23 inference(rewrite,[status(thm)],[])).
% 5.31/4.23 tff(18562,plain,
% 5.31/4.23 ((node26(s41) | (~until27(s41)) | xuntil28(s41)) <=> (xuntil28(s41) | node26(s41) | (~until27(s41)))),
% 5.31/4.23 inference(rewrite,[status(thm)],[])).
% 5.31/4.23 tff(18563,plain,
% 5.31/4.23 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s41) | (~until27(s41)) | xuntil28(s41))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s41) | node26(s41) | (~until27(s41))))),
% 5.31/4.23 inference(monotonicity,[status(thm)],[18562])).
% 5.31/4.23 tff(18564,plain,
% 5.31/4.23 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s41) | (~until27(s41)) | xuntil28(s41))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s41) | node26(s41) | (~until27(s41)))),
% 5.31/4.23 inference(transitivity,[status(thm)],[18563, 18561])).
% 5.31/4.23 tff(18565,plain,
% 5.31/4.23 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s41) | (~until27(s41)) | xuntil28(s41))),
% 5.31/4.23 inference(quant_inst,[status(thm)],[])).
% 5.31/4.23 tff(18566,plain,
% 5.31/4.23 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s41) | node26(s41) | (~until27(s41))),
% 5.31/4.23 inference(modus_ponens,[status(thm)],[18565, 18564])).
% 5.31/4.23 tff(18567,plain,
% 5.31/4.23 (xuntil28(s41)),
% 5.31/4.23 inference(unit_resolution,[status(thm)],[18566, 17992, 18560, 17684])).
% 5.31/4.23 tff(18568,plain,
% 5.31/4.23 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s41, s42)) | (~xuntil28(s41)) | until27(s42))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s41, s42)) | (~xuntil28(s41)) | until27(s42))),
% 5.31/4.23 inference(rewrite,[status(thm)],[])).
% 5.31/4.23 tff(18569,plain,
% 5.31/4.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s41, s42)) | (~xuntil28(s41)) | until27(s42))),
% 5.31/4.23 inference(quant_inst,[status(thm)],[])).
% 5.31/4.23 tff(18570,plain,
% 5.31/4.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s41, s42)) | (~xuntil28(s41)) | until27(s42)),
% 5.31/4.23 inference(modus_ponens,[status(thm)],[18569, 18568])).
% 5.31/4.23 tff(18571,plain,
% 5.31/4.23 ((~xuntil28(s41)) | until27(s42)),
% 5.31/4.23 inference(unit_resolution,[status(thm)],[18570, 3711, 18010])).
% 5.31/4.23 tff(18572,plain,
% 5.31/4.23 (until27(s42)),
% 5.31/4.23 inference(unit_resolution,[status(thm)],[18571, 18567])).
% 5.31/4.23 tff(18573,plain,
% 5.31/4.23 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s42) | node26(s42) | (~until27(s42)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s42) | node26(s42) | (~until27(s42)))),
% 5.31/4.23 inference(rewrite,[status(thm)],[])).
% 5.31/4.23 tff(18574,plain,
% 5.31/4.23 ((node26(s42) | (~until27(s42)) | xuntil28(s42)) <=> (xuntil28(s42) | node26(s42) | (~until27(s42)))),
% 5.31/4.23 inference(rewrite,[status(thm)],[])).
% 5.31/4.23 tff(18575,plain,
% 5.31/4.23 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s42) | (~until27(s42)) | xuntil28(s42))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s42) | node26(s42) | (~until27(s42))))),
% 5.31/4.23 inference(monotonicity,[status(thm)],[18574])).
% 5.31/4.23 tff(18576,plain,
% 5.31/4.23 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s42) | (~until27(s42)) | xuntil28(s42))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s42) | node26(s42) | (~until27(s42)))),
% 5.31/4.23 inference(transitivity,[status(thm)],[18575, 18573])).
% 5.31/4.23 tff(18577,plain,
% 5.31/4.23 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s42) | (~until27(s42)) | xuntil28(s42))),
% 5.31/4.23 inference(quant_inst,[status(thm)],[])).
% 5.31/4.23 tff(18578,plain,
% 5.31/4.23 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s42) | node26(s42) | (~until27(s42))),
% 5.31/4.23 inference(modus_ponens,[status(thm)],[18577, 18576])).
% 5.31/4.23 tff(18579,plain,
% 5.31/4.23 (xuntil28(s42) | node26(s42)),
% 5.31/4.23 inference(unit_resolution,[status(thm)],[18578, 17992, 18572])).
% 5.31/4.23 tff(18580,plain,
% 5.31/4.23 (xuntil28(s42)),
% 5.31/4.23 inference(unit_resolution,[status(thm)],[18579, 17680])).
% 5.31/4.23 tff(18581,plain,
% 5.31/4.23 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s42, s43)) | (~xuntil28(s42)) | until27(s43))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s42, s43)) | (~xuntil28(s42)) | until27(s43))),
% 5.31/4.23 inference(rewrite,[status(thm)],[])).
% 5.31/4.23 tff(18582,plain,
% 5.31/4.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s42, s43)) | (~xuntil28(s42)) | until27(s43))),
% 5.31/4.23 inference(quant_inst,[status(thm)],[])).
% 5.31/4.23 tff(18583,plain,
% 5.31/4.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s42, s43)) | (~xuntil28(s42)) | until27(s43)),
% 5.31/4.23 inference(modus_ponens,[status(thm)],[18582, 18581])).
% 5.31/4.23 tff(18584,plain,
% 5.31/4.23 ((~xuntil28(s42)) | until27(s43)),
% 5.31/4.23 inference(unit_resolution,[status(thm)],[18583, 3810, 18010])).
% 5.31/4.23 tff(18585,plain,
% 5.31/4.23 (until27(s43)),
% 5.31/4.23 inference(unit_resolution,[status(thm)],[18584, 18580])).
% 5.31/4.23 tff(18586,plain,
% 5.31/4.23 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s43) | node26(s43) | (~until27(s43)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s43) | node26(s43) | (~until27(s43)))),
% 5.31/4.23 inference(rewrite,[status(thm)],[])).
% 5.31/4.23 tff(18587,plain,
% 5.31/4.23 ((node26(s43) | (~until27(s43)) | xuntil28(s43)) <=> (xuntil28(s43) | node26(s43) | (~until27(s43)))),
% 5.31/4.23 inference(rewrite,[status(thm)],[])).
% 5.31/4.23 tff(18588,plain,
% 5.31/4.23 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s43) | (~until27(s43)) | xuntil28(s43))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s43) | node26(s43) | (~until27(s43))))),
% 5.31/4.23 inference(monotonicity,[status(thm)],[18587])).
% 5.31/4.23 tff(18589,plain,
% 5.31/4.23 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s43) | (~until27(s43)) | xuntil28(s43))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s43) | node26(s43) | (~until27(s43)))),
% 5.31/4.23 inference(transitivity,[status(thm)],[18588, 18586])).
% 5.31/4.23 tff(18590,plain,
% 5.31/4.23 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s43) | (~until27(s43)) | xuntil28(s43))),
% 5.31/4.23 inference(quant_inst,[status(thm)],[])).
% 5.31/4.23 tff(18591,plain,
% 5.31/4.23 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s43) | node26(s43) | (~until27(s43))),
% 5.31/4.23 inference(modus_ponens,[status(thm)],[18590, 18589])).
% 5.31/4.23 tff(18592,plain,
% 5.31/4.23 (xuntil28(s43)),
% 5.31/4.23 inference(unit_resolution,[status(thm)],[18591, 17992, 18585, 17671])).
% 5.31/4.23 tff(18593,plain,
% 5.31/4.23 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s43, s44)) | (~xuntil28(s43)) | until27(s44))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s43, s44)) | (~xuntil28(s43)) | until27(s44))),
% 5.31/4.23 inference(rewrite,[status(thm)],[])).
% 5.31/4.23 tff(18594,plain,
% 5.31/4.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s43, s44)) | (~xuntil28(s43)) | until27(s44))),
% 5.31/4.23 inference(quant_inst,[status(thm)],[])).
% 5.31/4.23 tff(18595,plain,
% 5.31/4.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s43, s44)) | (~xuntil28(s43)) | until27(s44)),
% 5.31/4.23 inference(modus_ponens,[status(thm)],[18594, 18593])).
% 5.31/4.23 tff(18596,plain,
% 5.31/4.23 ((~xuntil28(s43)) | until27(s44)),
% 5.31/4.23 inference(unit_resolution,[status(thm)],[18595, 3888, 18010])).
% 5.31/4.23 tff(18597,plain,
% 5.31/4.23 (until27(s44)),
% 5.31/4.23 inference(unit_resolution,[status(thm)],[18596, 18592])).
% 5.31/4.23 tff(18598,plain,
% 5.31/4.23 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s44) | (~node26(s44)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s44) | (~node26(s44)))),
% 5.31/4.23 inference(rewrite,[status(thm)],[])).
% 5.31/4.23 tff(18599,plain,
% 5.31/4.23 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s44) | (~node26(s44)))),
% 5.31/4.23 inference(quant_inst,[status(thm)],[])).
% 5.31/4.23 tff(18600,plain,
% 5.31/4.23 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s44) | (~node26(s44))),
% 5.31/4.23 inference(modus_ponens,[status(thm)],[18599, 18598])).
% 5.31/4.23 tff(18601,plain,
% 5.31/4.23 (~node26(s44)),
% 5.31/4.23 inference(unit_resolution,[status(thm)],[18600, 16500, 17662])).
% 5.31/4.23 tff(18602,plain,
% 5.31/4.23 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s44) | node26(s44) | (~until27(s44)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s44) | node26(s44) | (~until27(s44)))),
% 5.31/4.23 inference(rewrite,[status(thm)],[])).
% 5.31/4.23 tff(18603,plain,
% 5.31/4.23 ((node26(s44) | (~until27(s44)) | xuntil28(s44)) <=> (xuntil28(s44) | node26(s44) | (~until27(s44)))),
% 5.31/4.23 inference(rewrite,[status(thm)],[])).
% 5.31/4.23 tff(18604,plain,
% 5.31/4.23 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s44) | (~until27(s44)) | xuntil28(s44))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s44) | node26(s44) | (~until27(s44))))),
% 5.31/4.23 inference(monotonicity,[status(thm)],[18603])).
% 5.31/4.23 tff(18605,plain,
% 5.31/4.23 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s44) | (~until27(s44)) | xuntil28(s44))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s44) | node26(s44) | (~until27(s44)))),
% 5.31/4.23 inference(transitivity,[status(thm)],[18604, 18602])).
% 5.31/4.23 tff(18606,plain,
% 5.31/4.23 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s44) | (~until27(s44)) | xuntil28(s44))),
% 5.31/4.23 inference(quant_inst,[status(thm)],[])).
% 5.31/4.23 tff(18607,plain,
% 5.31/4.23 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s44) | node26(s44) | (~until27(s44))),
% 5.31/4.23 inference(modus_ponens,[status(thm)],[18606, 18605])).
% 5.31/4.23 tff(18608,plain,
% 5.31/4.23 (xuntil28(s44) | (~until27(s44))),
% 5.31/4.23 inference(unit_resolution,[status(thm)],[18607, 17992, 18601])).
% 5.31/4.23 tff(18609,plain,
% 5.31/4.23 (xuntil28(s44)),
% 5.31/4.23 inference(unit_resolution,[status(thm)],[18608, 18597])).
% 5.31/4.23 tff(18610,plain,
% 5.31/4.23 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s44, s45)) | (~xuntil28(s44)) | until27(s45))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s44, s45)) | (~xuntil28(s44)) | until27(s45))),
% 5.31/4.23 inference(rewrite,[status(thm)],[])).
% 5.31/4.23 tff(18611,plain,
% 5.31/4.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s44, s45)) | (~xuntil28(s44)) | until27(s45))),
% 5.31/4.23 inference(quant_inst,[status(thm)],[])).
% 5.31/4.23 tff(18612,plain,
% 5.31/4.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s44, s45)) | (~xuntil28(s44)) | until27(s45)),
% 5.31/4.23 inference(modus_ponens,[status(thm)],[18611, 18610])).
% 5.31/4.23 tff(18613,plain,
% 5.31/4.23 ((~xuntil28(s44)) | until27(s45)),
% 5.31/4.23 inference(unit_resolution,[status(thm)],[18612, 3949, 18010])).
% 5.31/4.23 tff(18614,plain,
% 5.31/4.23 (until27(s45)),
% 5.31/4.23 inference(unit_resolution,[status(thm)],[18613, 18609])).
% 5.31/4.23 tff(18615,plain,
% 5.31/4.23 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s45) | node26(s45) | (~until27(s45)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s45) | node26(s45) | (~until27(s45)))),
% 5.31/4.23 inference(rewrite,[status(thm)],[])).
% 5.31/4.23 tff(18616,plain,
% 5.31/4.23 ((node26(s45) | (~until27(s45)) | xuntil28(s45)) <=> (xuntil28(s45) | node26(s45) | (~until27(s45)))),
% 5.31/4.23 inference(rewrite,[status(thm)],[])).
% 5.31/4.23 tff(18617,plain,
% 5.31/4.23 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s45) | (~until27(s45)) | xuntil28(s45))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s45) | node26(s45) | (~until27(s45))))),
% 5.31/4.23 inference(monotonicity,[status(thm)],[18616])).
% 5.31/4.23 tff(18618,plain,
% 5.31/4.23 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s45) | (~until27(s45)) | xuntil28(s45))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s45) | node26(s45) | (~until27(s45)))),
% 5.31/4.23 inference(transitivity,[status(thm)],[18617, 18615])).
% 5.31/4.23 tff(18619,plain,
% 5.31/4.23 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s45) | (~until27(s45)) | xuntil28(s45))),
% 5.31/4.23 inference(quant_inst,[status(thm)],[])).
% 5.31/4.23 tff(18620,plain,
% 5.31/4.23 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s45) | node26(s45) | (~until27(s45))),
% 5.31/4.23 inference(modus_ponens,[status(thm)],[18619, 18618])).
% 5.31/4.23 tff(18621,plain,
% 5.31/4.23 (xuntil28(s45)),
% 5.31/4.23 inference(unit_resolution,[status(thm)],[18620, 17992, 18614, 17655])).
% 5.31/4.23 tff(18622,plain,
% 5.31/4.23 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s45, s46)) | (~xuntil28(s45)) | until27(s46))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s45, s46)) | (~xuntil28(s45)) | until27(s46))),
% 5.31/4.23 inference(rewrite,[status(thm)],[])).
% 5.31/4.23 tff(18623,plain,
% 5.31/4.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s45, s46)) | (~xuntil28(s45)) | until27(s46))),
% 5.31/4.23 inference(quant_inst,[status(thm)],[])).
% 5.31/4.23 tff(18624,plain,
% 5.31/4.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s45, s46)) | (~xuntil28(s45)) | until27(s46)),
% 5.31/4.23 inference(modus_ponens,[status(thm)],[18623, 18622])).
% 5.31/4.23 tff(18625,plain,
% 5.31/4.23 ((~xuntil28(s45)) | until27(s46)),
% 5.31/4.23 inference(unit_resolution,[status(thm)],[18624, 4044, 18010])).
% 5.31/4.23 tff(18626,plain,
% 5.31/4.23 (until27(s46)),
% 5.31/4.23 inference(unit_resolution,[status(thm)],[18625, 18621])).
% 5.31/4.23 tff(18627,plain,
% 5.31/4.23 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s46) | node26(s46) | (~until27(s46)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s46) | node26(s46) | (~until27(s46)))),
% 5.31/4.23 inference(rewrite,[status(thm)],[])).
% 5.31/4.23 tff(18628,plain,
% 5.31/4.23 ((node26(s46) | (~until27(s46)) | xuntil28(s46)) <=> (xuntil28(s46) | node26(s46) | (~until27(s46)))),
% 5.31/4.23 inference(rewrite,[status(thm)],[])).
% 5.31/4.23 tff(18629,plain,
% 5.31/4.23 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s46) | (~until27(s46)) | xuntil28(s46))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s46) | node26(s46) | (~until27(s46))))),
% 5.31/4.23 inference(monotonicity,[status(thm)],[18628])).
% 5.31/4.23 tff(18630,plain,
% 5.31/4.23 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s46) | (~until27(s46)) | xuntil28(s46))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s46) | node26(s46) | (~until27(s46)))),
% 5.31/4.23 inference(transitivity,[status(thm)],[18629, 18627])).
% 5.31/4.23 tff(18631,plain,
% 5.31/4.23 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s46) | (~until27(s46)) | xuntil28(s46))),
% 5.31/4.23 inference(quant_inst,[status(thm)],[])).
% 5.31/4.23 tff(18632,plain,
% 5.31/4.23 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s46) | node26(s46) | (~until27(s46))),
% 5.31/4.23 inference(modus_ponens,[status(thm)],[18631, 18630])).
% 5.31/4.23 tff(18633,plain,
% 5.31/4.23 (xuntil28(s46) | node26(s46)),
% 5.31/4.23 inference(unit_resolution,[status(thm)],[18632, 17992, 18626])).
% 5.31/4.23 tff(18634,plain,
% 5.31/4.23 (xuntil28(s46)),
% 5.31/4.23 inference(unit_resolution,[status(thm)],[18633, 17651])).
% 5.31/4.23 tff(18635,plain,
% 5.31/4.23 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s46, s47)) | (~xuntil28(s46)) | until27(s47))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s46, s47)) | (~xuntil28(s46)) | until27(s47))),
% 5.31/4.23 inference(rewrite,[status(thm)],[])).
% 5.31/4.23 tff(18636,plain,
% 5.31/4.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s46, s47)) | (~xuntil28(s46)) | until27(s47))),
% 5.31/4.23 inference(quant_inst,[status(thm)],[])).
% 5.31/4.23 tff(18637,plain,
% 5.31/4.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s46, s47)) | (~xuntil28(s46)) | until27(s47)),
% 5.31/4.23 inference(modus_ponens,[status(thm)],[18636, 18635])).
% 5.31/4.23 tff(18638,plain,
% 5.31/4.23 ((~xuntil28(s46)) | until27(s47)),
% 5.31/4.23 inference(unit_resolution,[status(thm)],[18637, 4108, 18010])).
% 5.31/4.23 tff(18639,plain,
% 5.31/4.23 (until27(s47)),
% 5.31/4.23 inference(unit_resolution,[status(thm)],[18638, 18634])).
% 5.31/4.23 tff(18640,plain,
% 5.31/4.23 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s47) | node26(s47) | (~until27(s47)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s47) | node26(s47) | (~until27(s47)))),
% 5.31/4.23 inference(rewrite,[status(thm)],[])).
% 5.31/4.23 tff(18641,plain,
% 5.31/4.23 ((node26(s47) | (~until27(s47)) | xuntil28(s47)) <=> (xuntil28(s47) | node26(s47) | (~until27(s47)))),
% 5.31/4.23 inference(rewrite,[status(thm)],[])).
% 5.31/4.23 tff(18642,plain,
% 5.31/4.23 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s47) | (~until27(s47)) | xuntil28(s47))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s47) | node26(s47) | (~until27(s47))))),
% 5.31/4.23 inference(monotonicity,[status(thm)],[18641])).
% 5.31/4.23 tff(18643,plain,
% 5.31/4.23 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s47) | (~until27(s47)) | xuntil28(s47))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s47) | node26(s47) | (~until27(s47)))),
% 5.31/4.23 inference(transitivity,[status(thm)],[18642, 18640])).
% 5.31/4.23 tff(18644,plain,
% 5.31/4.23 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s47) | (~until27(s47)) | xuntil28(s47))),
% 5.31/4.23 inference(quant_inst,[status(thm)],[])).
% 5.31/4.23 tff(18645,plain,
% 5.31/4.23 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s47) | node26(s47) | (~until27(s47))),
% 5.31/4.23 inference(modus_ponens,[status(thm)],[18644, 18643])).
% 5.31/4.23 tff(18646,plain,
% 5.31/4.23 (xuntil28(s47)),
% 5.31/4.23 inference(unit_resolution,[status(thm)],[18645, 17992, 18639, 17642])).
% 5.31/4.23 tff(18647,plain,
% 5.31/4.23 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s47, s48)) | (~xuntil28(s47)) | until27(s48))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s47, s48)) | (~xuntil28(s47)) | until27(s48))),
% 5.31/4.23 inference(rewrite,[status(thm)],[])).
% 5.31/4.23 tff(18648,plain,
% 5.31/4.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s47, s48)) | (~xuntil28(s47)) | until27(s48))),
% 5.31/4.23 inference(quant_inst,[status(thm)],[])).
% 5.31/4.23 tff(18649,plain,
% 5.31/4.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s47, s48)) | (~xuntil28(s47)) | until27(s48)),
% 5.31/4.23 inference(modus_ponens,[status(thm)],[18648, 18647])).
% 5.31/4.23 tff(18650,plain,
% 5.31/4.23 ((~xuntil28(s47)) | until27(s48)),
% 5.31/4.23 inference(unit_resolution,[status(thm)],[18649, 4183, 18010])).
% 5.31/4.23 tff(18651,plain,
% 5.31/4.23 (until27(s48)),
% 5.31/4.23 inference(unit_resolution,[status(thm)],[18650, 18646])).
% 5.31/4.23 tff(18652,plain,
% 5.31/4.23 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s48) | (~node26(s48)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s48) | (~node26(s48)))),
% 5.31/4.23 inference(rewrite,[status(thm)],[])).
% 5.31/4.23 tff(18653,plain,
% 5.31/4.23 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s48) | (~node26(s48)))),
% 5.31/4.23 inference(quant_inst,[status(thm)],[])).
% 5.31/4.23 tff(18654,plain,
% 5.31/4.23 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s48) | (~node26(s48))),
% 5.31/4.23 inference(modus_ponens,[status(thm)],[18653, 18652])).
% 5.31/4.23 tff(18655,plain,
% 5.31/4.23 (~node26(s48)),
% 5.31/4.23 inference(unit_resolution,[status(thm)],[18654, 16500, 17633])).
% 5.31/4.23 tff(18656,plain,
% 5.31/4.23 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s48) | node26(s48) | (~until27(s48)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s48) | node26(s48) | (~until27(s48)))),
% 5.31/4.23 inference(rewrite,[status(thm)],[])).
% 5.31/4.23 tff(18657,plain,
% 5.31/4.23 ((node26(s48) | (~until27(s48)) | xuntil28(s48)) <=> (xuntil28(s48) | node26(s48) | (~until27(s48)))),
% 5.31/4.23 inference(rewrite,[status(thm)],[])).
% 5.31/4.23 tff(18658,plain,
% 5.31/4.23 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s48) | (~until27(s48)) | xuntil28(s48))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s48) | node26(s48) | (~until27(s48))))),
% 5.31/4.23 inference(monotonicity,[status(thm)],[18657])).
% 5.31/4.23 tff(18659,plain,
% 5.31/4.23 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s48) | (~until27(s48)) | xuntil28(s48))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s48) | node26(s48) | (~until27(s48)))),
% 5.31/4.23 inference(transitivity,[status(thm)],[18658, 18656])).
% 5.31/4.23 tff(18660,plain,
% 5.31/4.23 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s48) | (~until27(s48)) | xuntil28(s48))),
% 5.31/4.23 inference(quant_inst,[status(thm)],[])).
% 5.31/4.23 tff(18661,plain,
% 5.31/4.23 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s48) | node26(s48) | (~until27(s48))),
% 5.31/4.23 inference(modus_ponens,[status(thm)],[18660, 18659])).
% 5.31/4.23 tff(18662,plain,
% 5.31/4.23 (xuntil28(s48) | (~until27(s48))),
% 5.31/4.23 inference(unit_resolution,[status(thm)],[18661, 17992, 18655])).
% 5.31/4.23 tff(18663,plain,
% 5.31/4.23 (xuntil28(s48)),
% 5.31/4.23 inference(unit_resolution,[status(thm)],[18662, 18651])).
% 5.31/4.23 tff(18664,plain,
% 5.31/4.23 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s48, s49)) | (~xuntil28(s48)) | until27(s49))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s48, s49)) | (~xuntil28(s48)) | until27(s49))),
% 5.31/4.23 inference(rewrite,[status(thm)],[])).
% 5.31/4.23 tff(18665,plain,
% 5.31/4.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s48, s49)) | (~xuntil28(s48)) | until27(s49))),
% 5.31/4.23 inference(quant_inst,[status(thm)],[])).
% 5.31/4.23 tff(18666,plain,
% 5.31/4.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s48, s49)) | (~xuntil28(s48)) | until27(s49)),
% 5.31/4.23 inference(modus_ponens,[status(thm)],[18665, 18664])).
% 5.31/4.23 tff(18667,plain,
% 5.31/4.23 ((~xuntil28(s48)) | until27(s49)),
% 5.31/4.23 inference(unit_resolution,[status(thm)],[18666, 4272, 18010])).
% 5.31/4.23 tff(18668,plain,
% 5.31/4.23 (until27(s49)),
% 5.31/4.23 inference(unit_resolution,[status(thm)],[18667, 18663])).
% 5.31/4.23 tff(18669,plain,
% 5.31/4.23 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s49) | node26(s49) | (~until27(s49)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s49) | node26(s49) | (~until27(s49)))),
% 5.31/4.23 inference(rewrite,[status(thm)],[])).
% 5.31/4.23 tff(18670,plain,
% 5.31/4.23 ((node26(s49) | (~until27(s49)) | xuntil28(s49)) <=> (xuntil28(s49) | node26(s49) | (~until27(s49)))),
% 5.31/4.23 inference(rewrite,[status(thm)],[])).
% 5.31/4.23 tff(18671,plain,
% 5.31/4.23 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s49) | (~until27(s49)) | xuntil28(s49))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s49) | node26(s49) | (~until27(s49))))),
% 5.31/4.23 inference(monotonicity,[status(thm)],[18670])).
% 5.31/4.23 tff(18672,plain,
% 5.31/4.23 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s49) | (~until27(s49)) | xuntil28(s49))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s49) | node26(s49) | (~until27(s49)))),
% 5.31/4.23 inference(transitivity,[status(thm)],[18671, 18669])).
% 5.31/4.23 tff(18673,plain,
% 5.31/4.23 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s49) | (~until27(s49)) | xuntil28(s49))),
% 5.31/4.23 inference(quant_inst,[status(thm)],[])).
% 5.31/4.23 tff(18674,plain,
% 5.31/4.23 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s49) | node26(s49) | (~until27(s49))),
% 5.31/4.23 inference(modus_ponens,[status(thm)],[18673, 18672])).
% 5.31/4.23 tff(18675,plain,
% 5.31/4.23 (xuntil28(s49)),
% 5.31/4.23 inference(unit_resolution,[status(thm)],[18674, 17992, 18668, 17626])).
% 5.31/4.23 tff(18676,plain,
% 5.31/4.23 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s49, s50)) | (~xuntil28(s49)) | until27(s50))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s49, s50)) | (~xuntil28(s49)) | until27(s50))),
% 5.31/4.23 inference(rewrite,[status(thm)],[])).
% 5.31/4.23 tff(18677,plain,
% 5.31/4.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s49, s50)) | (~xuntil28(s49)) | until27(s50))),
% 5.31/4.23 inference(quant_inst,[status(thm)],[])).
% 5.31/4.23 tff(18678,plain,
% 5.31/4.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s49, s50)) | (~xuntil28(s49)) | until27(s50)),
% 5.31/4.23 inference(modus_ponens,[status(thm)],[18677, 18676])).
% 5.31/4.23 tff(18679,plain,
% 5.31/4.23 ((~xuntil28(s49)) | until27(s50)),
% 5.31/4.23 inference(unit_resolution,[status(thm)],[18678, 4339, 18010])).
% 5.31/4.23 tff(18680,plain,
% 5.31/4.23 (until27(s50)),
% 5.31/4.23 inference(unit_resolution,[status(thm)],[18679, 18675])).
% 5.31/4.23 tff(18681,plain,
% 5.31/4.23 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s50) | node26(s50) | (~until27(s50)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s50) | node26(s50) | (~until27(s50)))),
% 5.31/4.23 inference(rewrite,[status(thm)],[])).
% 5.31/4.23 tff(18682,plain,
% 5.31/4.23 ((node26(s50) | (~until27(s50)) | xuntil28(s50)) <=> (xuntil28(s50) | node26(s50) | (~until27(s50)))),
% 5.31/4.23 inference(rewrite,[status(thm)],[])).
% 5.31/4.23 tff(18683,plain,
% 5.31/4.23 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s50) | (~until27(s50)) | xuntil28(s50))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s50) | node26(s50) | (~until27(s50))))),
% 5.31/4.23 inference(monotonicity,[status(thm)],[18682])).
% 5.31/4.23 tff(18684,plain,
% 5.31/4.23 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s50) | (~until27(s50)) | xuntil28(s50))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s50) | node26(s50) | (~until27(s50)))),
% 5.31/4.23 inference(transitivity,[status(thm)],[18683, 18681])).
% 5.31/4.23 tff(18685,plain,
% 5.31/4.23 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s50) | (~until27(s50)) | xuntil28(s50))),
% 5.31/4.23 inference(quant_inst,[status(thm)],[])).
% 5.31/4.23 tff(18686,plain,
% 5.31/4.23 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s50) | node26(s50) | (~until27(s50))),
% 5.31/4.23 inference(modus_ponens,[status(thm)],[18685, 18684])).
% 5.31/4.23 tff(18687,plain,
% 5.31/4.23 (xuntil28(s50) | node26(s50)),
% 5.31/4.23 inference(unit_resolution,[status(thm)],[18686, 17992, 18680])).
% 5.31/4.23 tff(18688,plain,
% 5.31/4.23 (xuntil28(s50)),
% 5.31/4.23 inference(unit_resolution,[status(thm)],[18687, 17622])).
% 5.31/4.23 tff(18689,plain,
% 5.31/4.23 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s50, s51)) | (~xuntil28(s50)) | until27(s51))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s50, s51)) | (~xuntil28(s50)) | until27(s51))),
% 5.31/4.23 inference(rewrite,[status(thm)],[])).
% 5.31/4.23 tff(18690,plain,
% 5.31/4.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s50, s51)) | (~xuntil28(s50)) | until27(s51))),
% 5.31/4.23 inference(quant_inst,[status(thm)],[])).
% 5.31/4.23 tff(18691,plain,
% 5.31/4.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s50, s51)) | (~xuntil28(s50)) | until27(s51)),
% 5.31/4.23 inference(modus_ponens,[status(thm)],[18690, 18689])).
% 5.31/4.23 tff(18692,plain,
% 5.31/4.23 ((~xuntil28(s50)) | until27(s51)),
% 5.31/4.23 inference(unit_resolution,[status(thm)],[18691, 4438, 18010])).
% 5.31/4.23 tff(18693,plain,
% 5.31/4.23 (until27(s51)),
% 5.31/4.23 inference(unit_resolution,[status(thm)],[18692, 18688])).
% 5.31/4.23 tff(18694,plain,
% 5.31/4.23 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s51) | node26(s51) | (~until27(s51)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s51) | node26(s51) | (~until27(s51)))),
% 5.31/4.23 inference(rewrite,[status(thm)],[])).
% 5.31/4.23 tff(18695,plain,
% 5.31/4.23 ((node26(s51) | (~until27(s51)) | xuntil28(s51)) <=> (xuntil28(s51) | node26(s51) | (~until27(s51)))),
% 5.31/4.23 inference(rewrite,[status(thm)],[])).
% 5.31/4.23 tff(18696,plain,
% 5.31/4.23 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s51) | (~until27(s51)) | xuntil28(s51))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s51) | node26(s51) | (~until27(s51))))),
% 5.31/4.23 inference(monotonicity,[status(thm)],[18695])).
% 5.31/4.23 tff(18697,plain,
% 5.31/4.23 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s51) | (~until27(s51)) | xuntil28(s51))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s51) | node26(s51) | (~until27(s51)))),
% 5.31/4.23 inference(transitivity,[status(thm)],[18696, 18694])).
% 5.31/4.23 tff(18698,plain,
% 5.31/4.23 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s51) | (~until27(s51)) | xuntil28(s51))),
% 5.31/4.23 inference(quant_inst,[status(thm)],[])).
% 5.31/4.23 tff(18699,plain,
% 5.31/4.23 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s51) | node26(s51) | (~until27(s51))),
% 5.39/4.23 inference(modus_ponens,[status(thm)],[18698, 18697])).
% 5.39/4.23 tff(18700,plain,
% 5.39/4.23 (xuntil28(s51)),
% 5.39/4.23 inference(unit_resolution,[status(thm)],[18699, 17992, 18693, 17613])).
% 5.39/4.23 tff(18701,plain,
% 5.39/4.23 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s51, s52)) | (~xuntil28(s51)) | until27(s52))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s51, s52)) | (~xuntil28(s51)) | until27(s52))),
% 5.39/4.23 inference(rewrite,[status(thm)],[])).
% 5.39/4.23 tff(18702,plain,
% 5.39/4.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s51, s52)) | (~xuntil28(s51)) | until27(s52))),
% 5.39/4.23 inference(quant_inst,[status(thm)],[])).
% 5.39/4.23 tff(18703,plain,
% 5.39/4.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s51, s52)) | (~xuntil28(s51)) | until27(s52)),
% 5.39/4.23 inference(modus_ponens,[status(thm)],[18702, 18701])).
% 5.39/4.23 tff(18704,plain,
% 5.39/4.23 ((~xuntil28(s51)) | until27(s52)),
% 5.39/4.23 inference(unit_resolution,[status(thm)],[18703, 4516, 18010])).
% 5.39/4.23 tff(18705,plain,
% 5.39/4.23 (until27(s52)),
% 5.39/4.23 inference(unit_resolution,[status(thm)],[18704, 18700])).
% 5.39/4.23 tff(18706,plain,
% 5.39/4.23 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s52) | (~node26(s52)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s52) | (~node26(s52)))),
% 5.39/4.23 inference(rewrite,[status(thm)],[])).
% 5.39/4.23 tff(18707,plain,
% 5.39/4.23 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s52) | (~node26(s52)))),
% 5.39/4.23 inference(quant_inst,[status(thm)],[])).
% 5.39/4.23 tff(18708,plain,
% 5.39/4.23 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s52) | (~node26(s52))),
% 5.39/4.23 inference(modus_ponens,[status(thm)],[18707, 18706])).
% 5.39/4.23 tff(18709,plain,
% 5.39/4.23 (~node26(s52)),
% 5.39/4.23 inference(unit_resolution,[status(thm)],[18708, 16500, 17604])).
% 5.39/4.23 tff(18710,plain,
% 5.39/4.23 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s52) | node26(s52) | (~until27(s52)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s52) | node26(s52) | (~until27(s52)))),
% 5.39/4.23 inference(rewrite,[status(thm)],[])).
% 5.39/4.23 tff(18711,plain,
% 5.39/4.23 ((node26(s52) | (~until27(s52)) | xuntil28(s52)) <=> (xuntil28(s52) | node26(s52) | (~until27(s52)))),
% 5.39/4.23 inference(rewrite,[status(thm)],[])).
% 5.39/4.23 tff(18712,plain,
% 5.39/4.23 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s52) | (~until27(s52)) | xuntil28(s52))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s52) | node26(s52) | (~until27(s52))))),
% 5.39/4.23 inference(monotonicity,[status(thm)],[18711])).
% 5.39/4.23 tff(18713,plain,
% 5.39/4.23 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s52) | (~until27(s52)) | xuntil28(s52))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s52) | node26(s52) | (~until27(s52)))),
% 5.39/4.23 inference(transitivity,[status(thm)],[18712, 18710])).
% 5.39/4.23 tff(18714,plain,
% 5.39/4.23 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s52) | (~until27(s52)) | xuntil28(s52))),
% 5.39/4.23 inference(quant_inst,[status(thm)],[])).
% 5.39/4.23 tff(18715,plain,
% 5.39/4.23 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s52) | node26(s52) | (~until27(s52))),
% 5.39/4.23 inference(modus_ponens,[status(thm)],[18714, 18713])).
% 5.39/4.23 tff(18716,plain,
% 5.39/4.23 (xuntil28(s52) | (~until27(s52))),
% 5.39/4.23 inference(unit_resolution,[status(thm)],[18715, 17992, 18709])).
% 5.39/4.23 tff(18717,plain,
% 5.39/4.23 (xuntil28(s52)),
% 5.39/4.23 inference(unit_resolution,[status(thm)],[18716, 18705])).
% 5.39/4.23 tff(18718,plain,
% 5.39/4.23 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s52, s53)) | (~xuntil28(s52)) | until27(s53))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s52, s53)) | (~xuntil28(s52)) | until27(s53))),
% 5.39/4.23 inference(rewrite,[status(thm)],[])).
% 5.39/4.23 tff(18719,plain,
% 5.39/4.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s52, s53)) | (~xuntil28(s52)) | until27(s53))),
% 5.39/4.23 inference(quant_inst,[status(thm)],[])).
% 5.39/4.23 tff(18720,plain,
% 5.39/4.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s52, s53)) | (~xuntil28(s52)) | until27(s53)),
% 5.39/4.23 inference(modus_ponens,[status(thm)],[18719, 18718])).
% 5.39/4.23 tff(18721,plain,
% 5.39/4.23 ((~xuntil28(s52)) | until27(s53)),
% 5.39/4.23 inference(unit_resolution,[status(thm)],[18720, 4577, 18010])).
% 5.39/4.23 tff(18722,plain,
% 5.39/4.23 (until27(s53)),
% 5.39/4.23 inference(unit_resolution,[status(thm)],[18721, 18717])).
% 5.39/4.23 tff(18723,plain,
% 5.39/4.23 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s53) | node26(s53) | (~until27(s53)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s53) | node26(s53) | (~until27(s53)))),
% 5.39/4.23 inference(rewrite,[status(thm)],[])).
% 5.39/4.23 tff(18724,plain,
% 5.39/4.23 ((node26(s53) | (~until27(s53)) | xuntil28(s53)) <=> (xuntil28(s53) | node26(s53) | (~until27(s53)))),
% 5.39/4.23 inference(rewrite,[status(thm)],[])).
% 5.39/4.23 tff(18725,plain,
% 5.39/4.23 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s53) | (~until27(s53)) | xuntil28(s53))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s53) | node26(s53) | (~until27(s53))))),
% 5.39/4.23 inference(monotonicity,[status(thm)],[18724])).
% 5.39/4.23 tff(18726,plain,
% 5.39/4.23 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s53) | (~until27(s53)) | xuntil28(s53))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s53) | node26(s53) | (~until27(s53)))),
% 5.39/4.23 inference(transitivity,[status(thm)],[18725, 18723])).
% 5.39/4.23 tff(18727,plain,
% 5.39/4.23 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s53) | (~until27(s53)) | xuntil28(s53))),
% 5.39/4.23 inference(quant_inst,[status(thm)],[])).
% 5.39/4.23 tff(18728,plain,
% 5.39/4.23 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s53) | node26(s53) | (~until27(s53))),
% 5.39/4.23 inference(modus_ponens,[status(thm)],[18727, 18726])).
% 5.39/4.23 tff(18729,plain,
% 5.39/4.23 (xuntil28(s53)),
% 5.39/4.23 inference(unit_resolution,[status(thm)],[18728, 17992, 18722, 17597])).
% 5.39/4.23 tff(18730,plain,
% 5.39/4.23 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s53, s54)) | (~xuntil28(s53)) | until27(s54))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s53, s54)) | (~xuntil28(s53)) | until27(s54))),
% 5.39/4.23 inference(rewrite,[status(thm)],[])).
% 5.39/4.23 tff(18731,plain,
% 5.39/4.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s53, s54)) | (~xuntil28(s53)) | until27(s54))),
% 5.39/4.23 inference(quant_inst,[status(thm)],[])).
% 5.39/4.23 tff(18732,plain,
% 5.39/4.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s53, s54)) | (~xuntil28(s53)) | until27(s54)),
% 5.39/4.23 inference(modus_ponens,[status(thm)],[18731, 18730])).
% 5.39/4.23 tff(18733,plain,
% 5.39/4.23 ((~xuntil28(s53)) | until27(s54)),
% 5.39/4.23 inference(unit_resolution,[status(thm)],[18732, 4672, 18010])).
% 5.39/4.23 tff(18734,plain,
% 5.39/4.23 (until27(s54)),
% 5.39/4.23 inference(unit_resolution,[status(thm)],[18733, 18729])).
% 5.39/4.23 tff(18735,plain,
% 5.39/4.23 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s54) | node26(s54) | (~until27(s54)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s54) | node26(s54) | (~until27(s54)))),
% 5.39/4.23 inference(rewrite,[status(thm)],[])).
% 5.39/4.23 tff(18736,plain,
% 5.39/4.23 ((node26(s54) | (~until27(s54)) | xuntil28(s54)) <=> (xuntil28(s54) | node26(s54) | (~until27(s54)))),
% 5.39/4.23 inference(rewrite,[status(thm)],[])).
% 5.39/4.23 tff(18737,plain,
% 5.39/4.23 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s54) | (~until27(s54)) | xuntil28(s54))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s54) | node26(s54) | (~until27(s54))))),
% 5.39/4.23 inference(monotonicity,[status(thm)],[18736])).
% 5.39/4.23 tff(18738,plain,
% 5.39/4.23 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s54) | (~until27(s54)) | xuntil28(s54))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s54) | node26(s54) | (~until27(s54)))),
% 5.39/4.23 inference(transitivity,[status(thm)],[18737, 18735])).
% 5.39/4.23 tff(18739,plain,
% 5.39/4.23 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s54) | (~until27(s54)) | xuntil28(s54))),
% 5.39/4.23 inference(quant_inst,[status(thm)],[])).
% 5.39/4.23 tff(18740,plain,
% 5.39/4.23 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s54) | node26(s54) | (~until27(s54))),
% 5.39/4.23 inference(modus_ponens,[status(thm)],[18739, 18738])).
% 5.39/4.24 tff(18741,plain,
% 5.39/4.24 (xuntil28(s54) | node26(s54)),
% 5.39/4.24 inference(unit_resolution,[status(thm)],[18740, 17992, 18734])).
% 5.39/4.24 tff(18742,plain,
% 5.39/4.24 (xuntil28(s54)),
% 5.39/4.24 inference(unit_resolution,[status(thm)],[18741, 17593])).
% 5.39/4.24 tff(18743,plain,
% 5.39/4.24 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s54, s55)) | (~xuntil28(s54)) | until27(s55))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s54, s55)) | (~xuntil28(s54)) | until27(s55))),
% 5.39/4.24 inference(rewrite,[status(thm)],[])).
% 5.39/4.24 tff(18744,plain,
% 5.39/4.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s54, s55)) | (~xuntil28(s54)) | until27(s55))),
% 5.39/4.24 inference(quant_inst,[status(thm)],[])).
% 5.39/4.24 tff(18745,plain,
% 5.39/4.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s54, s55)) | (~xuntil28(s54)) | until27(s55)),
% 5.39/4.24 inference(modus_ponens,[status(thm)],[18744, 18743])).
% 5.39/4.24 tff(18746,plain,
% 5.39/4.24 ((~xuntil28(s54)) | until27(s55)),
% 5.39/4.24 inference(unit_resolution,[status(thm)],[18745, 4736, 18010])).
% 5.39/4.24 tff(18747,plain,
% 5.39/4.24 (until27(s55)),
% 5.39/4.24 inference(unit_resolution,[status(thm)],[18746, 18742])).
% 5.39/4.24 tff(18748,plain,
% 5.39/4.24 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s55) | node26(s55) | (~until27(s55)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s55) | node26(s55) | (~until27(s55)))),
% 5.39/4.24 inference(rewrite,[status(thm)],[])).
% 5.39/4.24 tff(18749,plain,
% 5.39/4.24 ((node26(s55) | (~until27(s55)) | xuntil28(s55)) <=> (xuntil28(s55) | node26(s55) | (~until27(s55)))),
% 5.39/4.24 inference(rewrite,[status(thm)],[])).
% 5.39/4.24 tff(18750,plain,
% 5.39/4.24 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s55) | (~until27(s55)) | xuntil28(s55))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s55) | node26(s55) | (~until27(s55))))),
% 5.39/4.24 inference(monotonicity,[status(thm)],[18749])).
% 5.39/4.24 tff(18751,plain,
% 5.39/4.24 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s55) | (~until27(s55)) | xuntil28(s55))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s55) | node26(s55) | (~until27(s55)))),
% 5.39/4.24 inference(transitivity,[status(thm)],[18750, 18748])).
% 5.39/4.24 tff(18752,plain,
% 5.39/4.24 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s55) | (~until27(s55)) | xuntil28(s55))),
% 5.39/4.24 inference(quant_inst,[status(thm)],[])).
% 5.39/4.24 tff(18753,plain,
% 5.39/4.24 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s55) | node26(s55) | (~until27(s55))),
% 5.39/4.24 inference(modus_ponens,[status(thm)],[18752, 18751])).
% 5.39/4.24 tff(18754,plain,
% 5.39/4.24 (xuntil28(s55)),
% 5.39/4.24 inference(unit_resolution,[status(thm)],[18753, 17992, 18747, 17584])).
% 5.39/4.24 tff(18755,plain,
% 5.39/4.24 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s55, s56)) | (~xuntil28(s55)) | until27(s56))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s55, s56)) | (~xuntil28(s55)) | until27(s56))),
% 5.39/4.24 inference(rewrite,[status(thm)],[])).
% 5.39/4.24 tff(18756,plain,
% 5.39/4.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s55, s56)) | (~xuntil28(s55)) | until27(s56))),
% 5.39/4.24 inference(quant_inst,[status(thm)],[])).
% 5.39/4.24 tff(18757,plain,
% 5.39/4.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s55, s56)) | (~xuntil28(s55)) | until27(s56)),
% 5.39/4.24 inference(modus_ponens,[status(thm)],[18756, 18755])).
% 5.39/4.24 tff(18758,plain,
% 5.39/4.24 ((~xuntil28(s55)) | until27(s56)),
% 5.39/4.24 inference(unit_resolution,[status(thm)],[18757, 4811, 18010])).
% 5.39/4.24 tff(18759,plain,
% 5.39/4.24 (until27(s56)),
% 5.39/4.24 inference(unit_resolution,[status(thm)],[18758, 18754])).
% 5.39/4.24 tff(18760,plain,
% 5.39/4.24 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s56) | (~node26(s56)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s56) | (~node26(s56)))),
% 5.39/4.24 inference(rewrite,[status(thm)],[])).
% 5.39/4.24 tff(18761,plain,
% 5.39/4.24 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s56) | (~node26(s56)))),
% 5.39/4.24 inference(quant_inst,[status(thm)],[])).
% 5.39/4.24 tff(18762,plain,
% 5.39/4.24 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s56) | (~node26(s56))),
% 5.39/4.24 inference(modus_ponens,[status(thm)],[18761, 18760])).
% 5.39/4.24 tff(18763,plain,
% 5.39/4.24 (~node26(s56)),
% 5.39/4.24 inference(unit_resolution,[status(thm)],[18762, 16500, 17575])).
% 5.39/4.24 tff(18764,plain,
% 5.39/4.24 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s56) | node26(s56) | (~until27(s56)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s56) | node26(s56) | (~until27(s56)))),
% 5.39/4.24 inference(rewrite,[status(thm)],[])).
% 5.39/4.24 tff(18765,plain,
% 5.39/4.24 ((node26(s56) | (~until27(s56)) | xuntil28(s56)) <=> (xuntil28(s56) | node26(s56) | (~until27(s56)))),
% 5.39/4.24 inference(rewrite,[status(thm)],[])).
% 5.39/4.24 tff(18766,plain,
% 5.39/4.24 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s56) | (~until27(s56)) | xuntil28(s56))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s56) | node26(s56) | (~until27(s56))))),
% 5.39/4.24 inference(monotonicity,[status(thm)],[18765])).
% 5.39/4.24 tff(18767,plain,
% 5.39/4.24 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s56) | (~until27(s56)) | xuntil28(s56))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s56) | node26(s56) | (~until27(s56)))),
% 5.39/4.24 inference(transitivity,[status(thm)],[18766, 18764])).
% 5.39/4.24 tff(18768,plain,
% 5.39/4.24 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s56) | (~until27(s56)) | xuntil28(s56))),
% 5.39/4.24 inference(quant_inst,[status(thm)],[])).
% 5.39/4.24 tff(18769,plain,
% 5.39/4.24 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s56) | node26(s56) | (~until27(s56))),
% 5.39/4.24 inference(modus_ponens,[status(thm)],[18768, 18767])).
% 5.39/4.24 tff(18770,plain,
% 5.39/4.24 (xuntil28(s56) | (~until27(s56))),
% 5.39/4.24 inference(unit_resolution,[status(thm)],[18769, 17992, 18763])).
% 5.39/4.24 tff(18771,plain,
% 5.39/4.24 (xuntil28(s56)),
% 5.39/4.24 inference(unit_resolution,[status(thm)],[18770, 18759])).
% 5.39/4.24 tff(18772,plain,
% 5.39/4.24 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s56, s57)) | (~xuntil28(s56)) | until27(s57))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s56, s57)) | (~xuntil28(s56)) | until27(s57))),
% 5.39/4.24 inference(rewrite,[status(thm)],[])).
% 5.39/4.24 tff(18773,plain,
% 5.39/4.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s56, s57)) | (~xuntil28(s56)) | until27(s57))),
% 5.39/4.24 inference(quant_inst,[status(thm)],[])).
% 5.39/4.24 tff(18774,plain,
% 5.39/4.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s56, s57)) | (~xuntil28(s56)) | until27(s57)),
% 5.39/4.24 inference(modus_ponens,[status(thm)],[18773, 18772])).
% 5.39/4.24 tff(18775,plain,
% 5.39/4.24 ((~xuntil28(s56)) | until27(s57)),
% 5.39/4.24 inference(unit_resolution,[status(thm)],[18774, 4900, 18010])).
% 5.39/4.24 tff(18776,plain,
% 5.39/4.24 (until27(s57)),
% 5.39/4.24 inference(unit_resolution,[status(thm)],[18775, 18771])).
% 5.39/4.24 tff(18777,plain,
% 5.39/4.24 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s57) | node26(s57) | (~until27(s57)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s57) | node26(s57) | (~until27(s57)))),
% 5.39/4.24 inference(rewrite,[status(thm)],[])).
% 5.39/4.24 tff(18778,plain,
% 5.39/4.24 ((node26(s57) | (~until27(s57)) | xuntil28(s57)) <=> (xuntil28(s57) | node26(s57) | (~until27(s57)))),
% 5.39/4.24 inference(rewrite,[status(thm)],[])).
% 5.39/4.24 tff(18779,plain,
% 5.39/4.24 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s57) | (~until27(s57)) | xuntil28(s57))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s57) | node26(s57) | (~until27(s57))))),
% 5.39/4.24 inference(monotonicity,[status(thm)],[18778])).
% 5.39/4.24 tff(18780,plain,
% 5.39/4.24 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s57) | (~until27(s57)) | xuntil28(s57))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s57) | node26(s57) | (~until27(s57)))),
% 5.39/4.24 inference(transitivity,[status(thm)],[18779, 18777])).
% 5.39/4.24 tff(18781,plain,
% 5.39/4.24 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s57) | (~until27(s57)) | xuntil28(s57))),
% 5.39/4.24 inference(quant_inst,[status(thm)],[])).
% 5.39/4.24 tff(18782,plain,
% 5.39/4.24 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s57) | node26(s57) | (~until27(s57))),
% 5.39/4.24 inference(modus_ponens,[status(thm)],[18781, 18780])).
% 5.39/4.24 tff(18783,plain,
% 5.39/4.24 (xuntil28(s57)),
% 5.39/4.24 inference(unit_resolution,[status(thm)],[18782, 17992, 18776, 17568])).
% 5.39/4.24 tff(18784,plain,
% 5.39/4.24 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s57, s58)) | (~xuntil28(s57)) | until27(s58))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s57, s58)) | (~xuntil28(s57)) | until27(s58))),
% 5.39/4.24 inference(rewrite,[status(thm)],[])).
% 5.39/4.24 tff(18785,plain,
% 5.39/4.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s57, s58)) | (~xuntil28(s57)) | until27(s58))),
% 5.39/4.24 inference(quant_inst,[status(thm)],[])).
% 5.39/4.24 tff(18786,plain,
% 5.39/4.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s57, s58)) | (~xuntil28(s57)) | until27(s58)),
% 5.39/4.24 inference(modus_ponens,[status(thm)],[18785, 18784])).
% 5.39/4.24 tff(18787,plain,
% 5.39/4.24 ((~xuntil28(s57)) | until27(s58)),
% 5.39/4.24 inference(unit_resolution,[status(thm)],[18786, 4967, 18010])).
% 5.39/4.24 tff(18788,plain,
% 5.39/4.24 (until27(s58)),
% 5.39/4.24 inference(unit_resolution,[status(thm)],[18787, 18783])).
% 5.39/4.24 tff(18789,plain,
% 5.39/4.24 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s58) | node26(s58) | (~until27(s58)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s58) | node26(s58) | (~until27(s58)))),
% 5.39/4.24 inference(rewrite,[status(thm)],[])).
% 5.39/4.24 tff(18790,plain,
% 5.39/4.24 ((node26(s58) | (~until27(s58)) | xuntil28(s58)) <=> (xuntil28(s58) | node26(s58) | (~until27(s58)))),
% 5.39/4.24 inference(rewrite,[status(thm)],[])).
% 5.39/4.24 tff(18791,plain,
% 5.39/4.24 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s58) | (~until27(s58)) | xuntil28(s58))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s58) | node26(s58) | (~until27(s58))))),
% 5.39/4.24 inference(monotonicity,[status(thm)],[18790])).
% 5.39/4.24 tff(18792,plain,
% 5.39/4.24 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s58) | (~until27(s58)) | xuntil28(s58))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s58) | node26(s58) | (~until27(s58)))),
% 5.39/4.24 inference(transitivity,[status(thm)],[18791, 18789])).
% 5.39/4.24 tff(18793,plain,
% 5.39/4.24 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s58) | (~until27(s58)) | xuntil28(s58))),
% 5.39/4.24 inference(quant_inst,[status(thm)],[])).
% 5.39/4.24 tff(18794,plain,
% 5.39/4.24 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s58) | node26(s58) | (~until27(s58))),
% 5.39/4.24 inference(modus_ponens,[status(thm)],[18793, 18792])).
% 5.39/4.24 tff(18795,plain,
% 5.39/4.24 (xuntil28(s58) | node26(s58)),
% 5.39/4.24 inference(unit_resolution,[status(thm)],[18794, 17992, 18788])).
% 5.39/4.24 tff(18796,plain,
% 5.39/4.24 (xuntil28(s58)),
% 5.39/4.24 inference(unit_resolution,[status(thm)],[18795, 17564])).
% 5.39/4.24 tff(18797,plain,
% 5.39/4.24 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s58, s59)) | (~xuntil28(s58)) | until27(s59))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s58, s59)) | (~xuntil28(s58)) | until27(s59))),
% 5.39/4.24 inference(rewrite,[status(thm)],[])).
% 5.39/4.24 tff(18798,plain,
% 5.39/4.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s58, s59)) | (~xuntil28(s58)) | until27(s59))),
% 5.39/4.24 inference(quant_inst,[status(thm)],[])).
% 5.39/4.24 tff(18799,plain,
% 5.39/4.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s58, s59)) | (~xuntil28(s58)) | until27(s59)),
% 5.39/4.24 inference(modus_ponens,[status(thm)],[18798, 18797])).
% 5.39/4.24 tff(18800,plain,
% 5.39/4.24 ((~xuntil28(s58)) | until27(s59)),
% 5.39/4.24 inference(unit_resolution,[status(thm)],[18799, 5066, 18010])).
% 5.39/4.24 tff(18801,plain,
% 5.39/4.24 (until27(s59)),
% 5.39/4.24 inference(unit_resolution,[status(thm)],[18800, 18796])).
% 5.39/4.24 tff(18802,plain,
% 5.39/4.24 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s59) | node26(s59) | (~until27(s59)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s59) | node26(s59) | (~until27(s59)))),
% 5.39/4.24 inference(rewrite,[status(thm)],[])).
% 5.39/4.24 tff(18803,plain,
% 5.39/4.24 ((node26(s59) | (~until27(s59)) | xuntil28(s59)) <=> (xuntil28(s59) | node26(s59) | (~until27(s59)))),
% 5.39/4.24 inference(rewrite,[status(thm)],[])).
% 5.39/4.24 tff(18804,plain,
% 5.39/4.24 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s59) | (~until27(s59)) | xuntil28(s59))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s59) | node26(s59) | (~until27(s59))))),
% 5.39/4.24 inference(monotonicity,[status(thm)],[18803])).
% 5.39/4.24 tff(18805,plain,
% 5.39/4.24 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s59) | (~until27(s59)) | xuntil28(s59))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s59) | node26(s59) | (~until27(s59)))),
% 5.39/4.24 inference(transitivity,[status(thm)],[18804, 18802])).
% 5.39/4.24 tff(18806,plain,
% 5.39/4.24 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s59) | (~until27(s59)) | xuntil28(s59))),
% 5.39/4.24 inference(quant_inst,[status(thm)],[])).
% 5.39/4.24 tff(18807,plain,
% 5.39/4.24 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s59) | node26(s59) | (~until27(s59))),
% 5.39/4.24 inference(modus_ponens,[status(thm)],[18806, 18805])).
% 5.39/4.24 tff(18808,plain,
% 5.39/4.24 (xuntil28(s59)),
% 5.39/4.24 inference(unit_resolution,[status(thm)],[18807, 17992, 18801, 17555])).
% 5.39/4.24 tff(18809,plain,
% 5.39/4.24 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s59, s60)) | (~xuntil28(s59)) | until27(s60))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s59, s60)) | (~xuntil28(s59)) | until27(s60))),
% 5.39/4.24 inference(rewrite,[status(thm)],[])).
% 5.39/4.24 tff(18810,plain,
% 5.39/4.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s59, s60)) | (~xuntil28(s59)) | until27(s60))),
% 5.39/4.24 inference(quant_inst,[status(thm)],[])).
% 5.39/4.24 tff(18811,plain,
% 5.39/4.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s59, s60)) | (~xuntil28(s59)) | until27(s60)),
% 5.39/4.24 inference(modus_ponens,[status(thm)],[18810, 18809])).
% 5.39/4.24 tff(18812,plain,
% 5.39/4.24 ((~xuntil28(s59)) | until27(s60)),
% 5.39/4.24 inference(unit_resolution,[status(thm)],[18811, 5144, 18010])).
% 5.39/4.24 tff(18813,plain,
% 5.39/4.24 (until27(s60)),
% 5.39/4.24 inference(unit_resolution,[status(thm)],[18812, 18808])).
% 5.39/4.24 tff(18814,plain,
% 5.39/4.24 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s60) | (~node26(s60)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s60) | (~node26(s60)))),
% 5.39/4.24 inference(rewrite,[status(thm)],[])).
% 5.39/4.24 tff(18815,plain,
% 5.39/4.24 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s60) | (~node26(s60)))),
% 5.39/4.24 inference(quant_inst,[status(thm)],[])).
% 5.39/4.24 tff(18816,plain,
% 5.39/4.24 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s60) | (~node26(s60))),
% 5.39/4.24 inference(modus_ponens,[status(thm)],[18815, 18814])).
% 5.39/4.24 tff(18817,plain,
% 5.39/4.24 (~node26(s60)),
% 5.39/4.24 inference(unit_resolution,[status(thm)],[18816, 16500, 17546])).
% 5.39/4.24 tff(18818,plain,
% 5.39/4.24 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s60) | node26(s60) | (~until27(s60)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s60) | node26(s60) | (~until27(s60)))),
% 5.39/4.24 inference(rewrite,[status(thm)],[])).
% 5.39/4.24 tff(18819,plain,
% 5.39/4.24 ((node26(s60) | (~until27(s60)) | xuntil28(s60)) <=> (xuntil28(s60) | node26(s60) | (~until27(s60)))),
% 5.39/4.24 inference(rewrite,[status(thm)],[])).
% 5.39/4.24 tff(18820,plain,
% 5.39/4.24 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s60) | (~until27(s60)) | xuntil28(s60))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s60) | node26(s60) | (~until27(s60))))),
% 5.39/4.24 inference(monotonicity,[status(thm)],[18819])).
% 5.39/4.24 tff(18821,plain,
% 5.39/4.24 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s60) | (~until27(s60)) | xuntil28(s60))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s60) | node26(s60) | (~until27(s60)))),
% 5.39/4.24 inference(transitivity,[status(thm)],[18820, 18818])).
% 5.39/4.24 tff(18822,plain,
% 5.39/4.24 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s60) | (~until27(s60)) | xuntil28(s60))),
% 5.39/4.24 inference(quant_inst,[status(thm)],[])).
% 5.39/4.24 tff(18823,plain,
% 5.39/4.24 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s60) | node26(s60) | (~until27(s60))),
% 5.39/4.24 inference(modus_ponens,[status(thm)],[18822, 18821])).
% 5.39/4.24 tff(18824,plain,
% 5.39/4.24 (xuntil28(s60) | (~until27(s60))),
% 5.39/4.24 inference(unit_resolution,[status(thm)],[18823, 17992, 18817])).
% 5.39/4.24 tff(18825,plain,
% 5.39/4.24 (xuntil28(s60)),
% 5.39/4.24 inference(unit_resolution,[status(thm)],[18824, 18813])).
% 5.39/4.24 tff(18826,plain,
% 5.39/4.24 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s60, s61)) | (~xuntil28(s60)) | until27(s61))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s60, s61)) | (~xuntil28(s60)) | until27(s61))),
% 5.39/4.24 inference(rewrite,[status(thm)],[])).
% 5.39/4.24 tff(18827,plain,
% 5.39/4.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s60, s61)) | (~xuntil28(s60)) | until27(s61))),
% 5.39/4.24 inference(quant_inst,[status(thm)],[])).
% 5.39/4.24 tff(18828,plain,
% 5.39/4.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s60, s61)) | (~xuntil28(s60)) | until27(s61)),
% 5.39/4.24 inference(modus_ponens,[status(thm)],[18827, 18826])).
% 5.39/4.24 tff(18829,plain,
% 5.39/4.24 ((~xuntil28(s60)) | until27(s61)),
% 5.39/4.24 inference(unit_resolution,[status(thm)],[18828, 5205, 18010])).
% 5.39/4.24 tff(18830,plain,
% 5.39/4.24 (until27(s61)),
% 5.39/4.24 inference(unit_resolution,[status(thm)],[18829, 18825])).
% 5.39/4.24 tff(18831,plain,
% 5.39/4.24 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s61) | node26(s61) | (~until27(s61)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s61) | node26(s61) | (~until27(s61)))),
% 5.39/4.24 inference(rewrite,[status(thm)],[])).
% 5.39/4.24 tff(18832,plain,
% 5.39/4.24 ((node26(s61) | (~until27(s61)) | xuntil28(s61)) <=> (xuntil28(s61) | node26(s61) | (~until27(s61)))),
% 5.39/4.24 inference(rewrite,[status(thm)],[])).
% 5.39/4.24 tff(18833,plain,
% 5.39/4.24 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s61) | (~until27(s61)) | xuntil28(s61))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s61) | node26(s61) | (~until27(s61))))),
% 5.39/4.24 inference(monotonicity,[status(thm)],[18832])).
% 5.39/4.24 tff(18834,plain,
% 5.39/4.24 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s61) | (~until27(s61)) | xuntil28(s61))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s61) | node26(s61) | (~until27(s61)))),
% 5.39/4.24 inference(transitivity,[status(thm)],[18833, 18831])).
% 5.39/4.24 tff(18835,plain,
% 5.39/4.24 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s61) | (~until27(s61)) | xuntil28(s61))),
% 5.39/4.24 inference(quant_inst,[status(thm)],[])).
% 5.39/4.24 tff(18836,plain,
% 5.39/4.24 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s61) | node26(s61) | (~until27(s61))),
% 5.39/4.24 inference(modus_ponens,[status(thm)],[18835, 18834])).
% 5.39/4.24 tff(18837,plain,
% 5.39/4.24 (xuntil28(s61)),
% 5.39/4.24 inference(unit_resolution,[status(thm)],[18836, 17992, 18830, 17539])).
% 5.39/4.24 tff(18838,plain,
% 5.39/4.24 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s61, s62)) | (~xuntil28(s61)) | until27(s62))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s61, s62)) | (~xuntil28(s61)) | until27(s62))),
% 5.39/4.24 inference(rewrite,[status(thm)],[])).
% 5.39/4.24 tff(18839,plain,
% 5.39/4.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s61, s62)) | (~xuntil28(s61)) | until27(s62))),
% 5.39/4.24 inference(quant_inst,[status(thm)],[])).
% 5.39/4.24 tff(18840,plain,
% 5.39/4.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s61, s62)) | (~xuntil28(s61)) | until27(s62)),
% 5.39/4.24 inference(modus_ponens,[status(thm)],[18839, 18838])).
% 5.39/4.24 tff(18841,plain,
% 5.39/4.24 ((~xuntil28(s61)) | until27(s62)),
% 5.39/4.24 inference(unit_resolution,[status(thm)],[18840, 5300, 18010])).
% 5.39/4.24 tff(18842,plain,
% 5.39/4.24 (until27(s62)),
% 5.39/4.24 inference(unit_resolution,[status(thm)],[18841, 18837])).
% 5.39/4.24 tff(18843,plain,
% 5.39/4.24 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s62) | node26(s62) | (~until27(s62)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s62) | node26(s62) | (~until27(s62)))),
% 5.39/4.24 inference(rewrite,[status(thm)],[])).
% 5.39/4.24 tff(18844,plain,
% 5.39/4.24 ((node26(s62) | (~until27(s62)) | xuntil28(s62)) <=> (xuntil28(s62) | node26(s62) | (~until27(s62)))),
% 5.39/4.24 inference(rewrite,[status(thm)],[])).
% 5.39/4.24 tff(18845,plain,
% 5.39/4.24 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s62) | (~until27(s62)) | xuntil28(s62))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s62) | node26(s62) | (~until27(s62))))),
% 5.39/4.24 inference(monotonicity,[status(thm)],[18844])).
% 5.39/4.24 tff(18846,plain,
% 5.39/4.24 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s62) | (~until27(s62)) | xuntil28(s62))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s62) | node26(s62) | (~until27(s62)))),
% 5.39/4.24 inference(transitivity,[status(thm)],[18845, 18843])).
% 5.39/4.24 tff(18847,plain,
% 5.39/4.24 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s62) | (~until27(s62)) | xuntil28(s62))),
% 5.39/4.24 inference(quant_inst,[status(thm)],[])).
% 5.39/4.24 tff(18848,plain,
% 5.39/4.24 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s62) | node26(s62) | (~until27(s62))),
% 5.39/4.24 inference(modus_ponens,[status(thm)],[18847, 18846])).
% 5.39/4.24 tff(18849,plain,
% 5.39/4.24 (xuntil28(s62) | node26(s62)),
% 5.39/4.24 inference(unit_resolution,[status(thm)],[18848, 17992, 18842])).
% 5.39/4.24 tff(18850,plain,
% 5.39/4.24 (xuntil28(s62)),
% 5.39/4.24 inference(unit_resolution,[status(thm)],[18849, 17535])).
% 5.39/4.24 tff(18851,plain,
% 5.39/4.24 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s62, s63)) | (~xuntil28(s62)) | until27(s63))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s62, s63)) | (~xuntil28(s62)) | until27(s63))),
% 5.39/4.24 inference(rewrite,[status(thm)],[])).
% 5.39/4.24 tff(18852,plain,
% 5.39/4.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s62, s63)) | (~xuntil28(s62)) | until27(s63))),
% 5.39/4.24 inference(quant_inst,[status(thm)],[])).
% 5.39/4.24 tff(18853,plain,
% 5.39/4.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s62, s63)) | (~xuntil28(s62)) | until27(s63)),
% 5.39/4.24 inference(modus_ponens,[status(thm)],[18852, 18851])).
% 5.39/4.24 tff(18854,plain,
% 5.39/4.24 ((~xuntil28(s62)) | until27(s63)),
% 5.39/4.24 inference(unit_resolution,[status(thm)],[18853, 5364, 18010])).
% 5.39/4.24 tff(18855,plain,
% 5.39/4.24 (until27(s63)),
% 5.39/4.24 inference(unit_resolution,[status(thm)],[18854, 18850])).
% 5.39/4.24 tff(18856,plain,
% 5.39/4.24 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s63) | node26(s63) | (~until27(s63)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s63) | node26(s63) | (~until27(s63)))),
% 5.39/4.24 inference(rewrite,[status(thm)],[])).
% 5.39/4.24 tff(18857,plain,
% 5.39/4.24 ((node26(s63) | (~until27(s63)) | xuntil28(s63)) <=> (xuntil28(s63) | node26(s63) | (~until27(s63)))),
% 5.39/4.24 inference(rewrite,[status(thm)],[])).
% 5.39/4.24 tff(18858,plain,
% 5.39/4.24 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s63) | (~until27(s63)) | xuntil28(s63))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s63) | node26(s63) | (~until27(s63))))),
% 5.39/4.24 inference(monotonicity,[status(thm)],[18857])).
% 5.39/4.24 tff(18859,plain,
% 5.39/4.24 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s63) | (~until27(s63)) | xuntil28(s63))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s63) | node26(s63) | (~until27(s63)))),
% 5.39/4.24 inference(transitivity,[status(thm)],[18858, 18856])).
% 5.39/4.24 tff(18860,plain,
% 5.39/4.24 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s63) | (~until27(s63)) | xuntil28(s63))),
% 5.39/4.24 inference(quant_inst,[status(thm)],[])).
% 5.39/4.24 tff(18861,plain,
% 5.39/4.24 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s63) | node26(s63) | (~until27(s63))),
% 5.39/4.24 inference(modus_ponens,[status(thm)],[18860, 18859])).
% 5.39/4.24 tff(18862,plain,
% 5.39/4.24 (xuntil28(s63)),
% 5.39/4.24 inference(unit_resolution,[status(thm)],[18861, 17992, 18855, 17526])).
% 5.39/4.24 tff(18863,plain,
% 5.39/4.24 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s63, s64)) | (~xuntil28(s63)) | until27(s64))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s63, s64)) | (~xuntil28(s63)) | until27(s64))),
% 5.39/4.24 inference(rewrite,[status(thm)],[])).
% 5.39/4.24 tff(18864,plain,
% 5.39/4.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s63, s64)) | (~xuntil28(s63)) | until27(s64))),
% 5.39/4.24 inference(quant_inst,[status(thm)],[])).
% 5.39/4.24 tff(18865,plain,
% 5.39/4.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s63, s64)) | (~xuntil28(s63)) | until27(s64)),
% 5.39/4.24 inference(modus_ponens,[status(thm)],[18864, 18863])).
% 5.39/4.24 tff(18866,plain,
% 5.39/4.24 ((~xuntil28(s63)) | until27(s64)),
% 5.39/4.24 inference(unit_resolution,[status(thm)],[18865, 5439, 18010])).
% 5.39/4.24 tff(18867,plain,
% 5.39/4.24 (until27(s64)),
% 5.39/4.24 inference(unit_resolution,[status(thm)],[18866, 18862])).
% 5.39/4.24 tff(18868,plain,
% 5.39/4.24 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s64) | (~node26(s64)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s64) | (~node26(s64)))),
% 5.39/4.24 inference(rewrite,[status(thm)],[])).
% 5.39/4.24 tff(18869,plain,
% 5.39/4.24 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s64) | (~node26(s64)))),
% 5.39/4.24 inference(quant_inst,[status(thm)],[])).
% 5.39/4.24 tff(18870,plain,
% 5.39/4.24 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s64) | (~node26(s64))),
% 5.39/4.24 inference(modus_ponens,[status(thm)],[18869, 18868])).
% 5.39/4.24 tff(18871,plain,
% 5.39/4.24 (~node26(s64)),
% 5.39/4.24 inference(unit_resolution,[status(thm)],[18870, 16500, 17517])).
% 5.39/4.24 tff(18872,plain,
% 5.39/4.24 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s64) | node26(s64) | (~until27(s64)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s64) | node26(s64) | (~until27(s64)))),
% 5.39/4.24 inference(rewrite,[status(thm)],[])).
% 5.39/4.24 tff(18873,plain,
% 5.39/4.24 ((node26(s64) | (~until27(s64)) | xuntil28(s64)) <=> (xuntil28(s64) | node26(s64) | (~until27(s64)))),
% 5.39/4.24 inference(rewrite,[status(thm)],[])).
% 5.39/4.24 tff(18874,plain,
% 5.39/4.24 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s64) | (~until27(s64)) | xuntil28(s64))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s64) | node26(s64) | (~until27(s64))))),
% 5.39/4.24 inference(monotonicity,[status(thm)],[18873])).
% 5.39/4.24 tff(18875,plain,
% 5.39/4.24 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s64) | (~until27(s64)) | xuntil28(s64))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s64) | node26(s64) | (~until27(s64)))),
% 5.39/4.24 inference(transitivity,[status(thm)],[18874, 18872])).
% 5.39/4.24 tff(18876,plain,
% 5.39/4.24 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s64) | (~until27(s64)) | xuntil28(s64))),
% 5.39/4.24 inference(quant_inst,[status(thm)],[])).
% 5.39/4.24 tff(18877,plain,
% 5.39/4.24 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s64) | node26(s64) | (~until27(s64))),
% 5.39/4.24 inference(modus_ponens,[status(thm)],[18876, 18875])).
% 5.39/4.24 tff(18878,plain,
% 5.39/4.24 (xuntil28(s64) | (~until27(s64))),
% 5.39/4.24 inference(unit_resolution,[status(thm)],[18877, 17992, 18871])).
% 5.39/4.24 tff(18879,plain,
% 5.39/4.24 (xuntil28(s64)),
% 5.39/4.24 inference(unit_resolution,[status(thm)],[18878, 18867])).
% 5.39/4.24 tff(18880,plain,
% 5.39/4.24 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s64, s65)) | (~xuntil28(s64)) | until27(s65))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s64, s65)) | (~xuntil28(s64)) | until27(s65))),
% 5.39/4.24 inference(rewrite,[status(thm)],[])).
% 5.39/4.24 tff(18881,plain,
% 5.39/4.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s64, s65)) | (~xuntil28(s64)) | until27(s65))),
% 5.39/4.24 inference(quant_inst,[status(thm)],[])).
% 5.39/4.24 tff(18882,plain,
% 5.39/4.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s64, s65)) | (~xuntil28(s64)) | until27(s65)),
% 5.39/4.24 inference(modus_ponens,[status(thm)],[18881, 18880])).
% 5.39/4.24 tff(18883,plain,
% 5.39/4.24 ((~xuntil28(s64)) | until27(s65)),
% 5.39/4.24 inference(unit_resolution,[status(thm)],[18882, 5528, 18010])).
% 5.39/4.24 tff(18884,plain,
% 5.39/4.24 (until27(s65)),
% 5.39/4.24 inference(unit_resolution,[status(thm)],[18883, 18879])).
% 5.39/4.24 tff(18885,plain,
% 5.39/4.24 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s65) | node26(s65) | (~until27(s65)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s65) | node26(s65) | (~until27(s65)))),
% 5.39/4.24 inference(rewrite,[status(thm)],[])).
% 5.39/4.24 tff(18886,plain,
% 5.39/4.24 ((node26(s65) | (~until27(s65)) | xuntil28(s65)) <=> (xuntil28(s65) | node26(s65) | (~until27(s65)))),
% 5.39/4.24 inference(rewrite,[status(thm)],[])).
% 5.39/4.24 tff(18887,plain,
% 5.39/4.24 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s65) | (~until27(s65)) | xuntil28(s65))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s65) | node26(s65) | (~until27(s65))))),
% 5.39/4.24 inference(monotonicity,[status(thm)],[18886])).
% 5.39/4.24 tff(18888,plain,
% 5.39/4.24 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s65) | (~until27(s65)) | xuntil28(s65))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s65) | node26(s65) | (~until27(s65)))),
% 5.39/4.24 inference(transitivity,[status(thm)],[18887, 18885])).
% 5.39/4.24 tff(18889,plain,
% 5.39/4.24 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s65) | (~until27(s65)) | xuntil28(s65))),
% 5.39/4.24 inference(quant_inst,[status(thm)],[])).
% 5.39/4.24 tff(18890,plain,
% 5.39/4.24 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s65) | node26(s65) | (~until27(s65))),
% 5.39/4.24 inference(modus_ponens,[status(thm)],[18889, 18888])).
% 5.39/4.24 tff(18891,plain,
% 5.39/4.24 (xuntil28(s65)),
% 5.39/4.24 inference(unit_resolution,[status(thm)],[18890, 17992, 18884, 17510])).
% 5.39/4.24 tff(18892,plain,
% 5.39/4.24 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s65, s66)) | (~xuntil28(s65)) | until27(s66))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s65, s66)) | (~xuntil28(s65)) | until27(s66))),
% 5.39/4.24 inference(rewrite,[status(thm)],[])).
% 5.39/4.24 tff(18893,plain,
% 5.39/4.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s65, s66)) | (~xuntil28(s65)) | until27(s66))),
% 5.39/4.24 inference(quant_inst,[status(thm)],[])).
% 5.39/4.24 tff(18894,plain,
% 5.39/4.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s65, s66)) | (~xuntil28(s65)) | until27(s66)),
% 5.39/4.24 inference(modus_ponens,[status(thm)],[18893, 18892])).
% 5.39/4.24 tff(18895,plain,
% 5.39/4.24 ((~xuntil28(s65)) | until27(s66)),
% 5.39/4.24 inference(unit_resolution,[status(thm)],[18894, 5595, 18010])).
% 5.39/4.24 tff(18896,plain,
% 5.39/4.24 (until27(s66)),
% 5.39/4.24 inference(unit_resolution,[status(thm)],[18895, 18891])).
% 5.39/4.24 tff(18897,plain,
% 5.39/4.24 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s66) | node26(s66) | (~until27(s66)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s66) | node26(s66) | (~until27(s66)))),
% 5.39/4.24 inference(rewrite,[status(thm)],[])).
% 5.39/4.24 tff(18898,plain,
% 5.39/4.24 ((node26(s66) | (~until27(s66)) | xuntil28(s66)) <=> (xuntil28(s66) | node26(s66) | (~until27(s66)))),
% 5.39/4.24 inference(rewrite,[status(thm)],[])).
% 5.39/4.24 tff(18899,plain,
% 5.39/4.24 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s66) | (~until27(s66)) | xuntil28(s66))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s66) | node26(s66) | (~until27(s66))))),
% 5.39/4.24 inference(monotonicity,[status(thm)],[18898])).
% 5.39/4.24 tff(18900,plain,
% 5.39/4.24 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s66) | (~until27(s66)) | xuntil28(s66))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s66) | node26(s66) | (~until27(s66)))),
% 5.39/4.24 inference(transitivity,[status(thm)],[18899, 18897])).
% 5.39/4.24 tff(18901,plain,
% 5.39/4.24 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s66) | (~until27(s66)) | xuntil28(s66))),
% 5.39/4.24 inference(quant_inst,[status(thm)],[])).
% 5.39/4.24 tff(18902,plain,
% 5.39/4.24 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s66) | node26(s66) | (~until27(s66))),
% 5.39/4.24 inference(modus_ponens,[status(thm)],[18901, 18900])).
% 5.39/4.24 tff(18903,plain,
% 5.39/4.24 (xuntil28(s66) | node26(s66)),
% 5.39/4.24 inference(unit_resolution,[status(thm)],[18902, 17992, 18896])).
% 5.39/4.24 tff(18904,plain,
% 5.39/4.24 (xuntil28(s66)),
% 5.39/4.24 inference(unit_resolution,[status(thm)],[18903, 17506])).
% 5.39/4.24 tff(18905,plain,
% 5.39/4.24 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s66, s67)) | (~xuntil28(s66)) | until27(s67))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s66, s67)) | (~xuntil28(s66)) | until27(s67))),
% 5.39/4.24 inference(rewrite,[status(thm)],[])).
% 5.39/4.24 tff(18906,plain,
% 5.39/4.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s66, s67)) | (~xuntil28(s66)) | until27(s67))),
% 5.39/4.25 inference(quant_inst,[status(thm)],[])).
% 5.39/4.25 tff(18907,plain,
% 5.39/4.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s66, s67)) | (~xuntil28(s66)) | until27(s67)),
% 5.39/4.25 inference(modus_ponens,[status(thm)],[18906, 18905])).
% 5.39/4.25 tff(18908,plain,
% 5.39/4.25 ((~xuntil28(s66)) | until27(s67)),
% 5.39/4.25 inference(unit_resolution,[status(thm)],[18907, 5694, 18010])).
% 5.39/4.25 tff(18909,plain,
% 5.39/4.25 (until27(s67)),
% 5.39/4.25 inference(unit_resolution,[status(thm)],[18908, 18904])).
% 5.39/4.25 tff(18910,plain,
% 5.39/4.25 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s67) | node26(s67) | (~until27(s67)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s67) | node26(s67) | (~until27(s67)))),
% 5.39/4.25 inference(rewrite,[status(thm)],[])).
% 5.39/4.25 tff(18911,plain,
% 5.39/4.25 ((node26(s67) | (~until27(s67)) | xuntil28(s67)) <=> (xuntil28(s67) | node26(s67) | (~until27(s67)))),
% 5.39/4.25 inference(rewrite,[status(thm)],[])).
% 5.39/4.25 tff(18912,plain,
% 5.39/4.25 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s67) | (~until27(s67)) | xuntil28(s67))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s67) | node26(s67) | (~until27(s67))))),
% 5.39/4.25 inference(monotonicity,[status(thm)],[18911])).
% 5.39/4.25 tff(18913,plain,
% 5.39/4.25 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s67) | (~until27(s67)) | xuntil28(s67))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s67) | node26(s67) | (~until27(s67)))),
% 5.39/4.25 inference(transitivity,[status(thm)],[18912, 18910])).
% 5.39/4.25 tff(18914,plain,
% 5.39/4.25 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s67) | (~until27(s67)) | xuntil28(s67))),
% 5.39/4.25 inference(quant_inst,[status(thm)],[])).
% 5.39/4.25 tff(18915,plain,
% 5.39/4.25 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s67) | node26(s67) | (~until27(s67))),
% 5.39/4.25 inference(modus_ponens,[status(thm)],[18914, 18913])).
% 5.39/4.25 tff(18916,plain,
% 5.39/4.25 (xuntil28(s67)),
% 5.39/4.25 inference(unit_resolution,[status(thm)],[18915, 17992, 18909, 17497])).
% 5.39/4.25 tff(18917,plain,
% 5.39/4.25 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s67, s68)) | (~xuntil28(s67)) | until27(s68))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s67, s68)) | (~xuntil28(s67)) | until27(s68))),
% 5.39/4.25 inference(rewrite,[status(thm)],[])).
% 5.39/4.25 tff(18918,plain,
% 5.39/4.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s67, s68)) | (~xuntil28(s67)) | until27(s68))),
% 5.39/4.25 inference(quant_inst,[status(thm)],[])).
% 5.39/4.25 tff(18919,plain,
% 5.39/4.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s67, s68)) | (~xuntil28(s67)) | until27(s68)),
% 5.39/4.25 inference(modus_ponens,[status(thm)],[18918, 18917])).
% 5.39/4.25 tff(18920,plain,
% 5.39/4.25 ((~xuntil28(s67)) | until27(s68)),
% 5.39/4.25 inference(unit_resolution,[status(thm)],[18919, 5772, 18010])).
% 5.39/4.25 tff(18921,plain,
% 5.39/4.25 (until27(s68)),
% 5.39/4.25 inference(unit_resolution,[status(thm)],[18920, 18916])).
% 5.39/4.25 tff(18922,plain,
% 5.39/4.25 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s68) | (~node26(s68)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s68) | (~node26(s68)))),
% 5.39/4.25 inference(rewrite,[status(thm)],[])).
% 5.39/4.25 tff(18923,plain,
% 5.39/4.25 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s68) | (~node26(s68)))),
% 5.39/4.25 inference(quant_inst,[status(thm)],[])).
% 5.39/4.25 tff(18924,plain,
% 5.39/4.25 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s68) | (~node26(s68))),
% 5.39/4.25 inference(modus_ponens,[status(thm)],[18923, 18922])).
% 5.39/4.25 tff(18925,plain,
% 5.39/4.25 (~node26(s68)),
% 5.39/4.25 inference(unit_resolution,[status(thm)],[18924, 16500, 17488])).
% 5.39/4.25 tff(18926,plain,
% 5.39/4.25 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s68) | node26(s68) | (~until27(s68)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s68) | node26(s68) | (~until27(s68)))),
% 5.39/4.25 inference(rewrite,[status(thm)],[])).
% 5.39/4.25 tff(18927,plain,
% 5.39/4.25 ((node26(s68) | (~until27(s68)) | xuntil28(s68)) <=> (xuntil28(s68) | node26(s68) | (~until27(s68)))),
% 5.39/4.25 inference(rewrite,[status(thm)],[])).
% 5.39/4.25 tff(18928,plain,
% 5.39/4.25 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s68) | (~until27(s68)) | xuntil28(s68))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s68) | node26(s68) | (~until27(s68))))),
% 5.39/4.25 inference(monotonicity,[status(thm)],[18927])).
% 5.39/4.25 tff(18929,plain,
% 5.39/4.25 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s68) | (~until27(s68)) | xuntil28(s68))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s68) | node26(s68) | (~until27(s68)))),
% 5.39/4.25 inference(transitivity,[status(thm)],[18928, 18926])).
% 5.39/4.25 tff(18930,plain,
% 5.39/4.25 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s68) | (~until27(s68)) | xuntil28(s68))),
% 5.39/4.25 inference(quant_inst,[status(thm)],[])).
% 5.39/4.25 tff(18931,plain,
% 5.39/4.25 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s68) | node26(s68) | (~until27(s68))),
% 5.39/4.25 inference(modus_ponens,[status(thm)],[18930, 18929])).
% 5.39/4.25 tff(18932,plain,
% 5.39/4.25 (xuntil28(s68) | (~until27(s68))),
% 5.39/4.25 inference(unit_resolution,[status(thm)],[18931, 17992, 18925])).
% 5.39/4.25 tff(18933,plain,
% 5.39/4.25 (xuntil28(s68)),
% 5.39/4.25 inference(unit_resolution,[status(thm)],[18932, 18921])).
% 5.39/4.25 tff(18934,plain,
% 5.39/4.25 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s68, s69)) | (~xuntil28(s68)) | until27(s69))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s68, s69)) | (~xuntil28(s68)) | until27(s69))),
% 5.39/4.25 inference(rewrite,[status(thm)],[])).
% 5.39/4.25 tff(18935,plain,
% 5.39/4.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s68, s69)) | (~xuntil28(s68)) | until27(s69))),
% 5.39/4.25 inference(quant_inst,[status(thm)],[])).
% 5.39/4.25 tff(18936,plain,
% 5.39/4.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s68, s69)) | (~xuntil28(s68)) | until27(s69)),
% 5.39/4.25 inference(modus_ponens,[status(thm)],[18935, 18934])).
% 5.39/4.25 tff(18937,plain,
% 5.39/4.25 ((~xuntil28(s68)) | until27(s69)),
% 5.39/4.25 inference(unit_resolution,[status(thm)],[18936, 5833, 18010])).
% 5.39/4.25 tff(18938,plain,
% 5.39/4.25 (until27(s69)),
% 5.39/4.25 inference(unit_resolution,[status(thm)],[18937, 18933])).
% 5.39/4.25 tff(18939,plain,
% 5.39/4.25 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s69) | node26(s69) | (~until27(s69)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s69) | node26(s69) | (~until27(s69)))),
% 5.39/4.25 inference(rewrite,[status(thm)],[])).
% 5.39/4.25 tff(18940,plain,
% 5.39/4.25 ((node26(s69) | (~until27(s69)) | xuntil28(s69)) <=> (xuntil28(s69) | node26(s69) | (~until27(s69)))),
% 5.39/4.25 inference(rewrite,[status(thm)],[])).
% 5.39/4.25 tff(18941,plain,
% 5.39/4.25 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s69) | (~until27(s69)) | xuntil28(s69))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s69) | node26(s69) | (~until27(s69))))),
% 5.39/4.25 inference(monotonicity,[status(thm)],[18940])).
% 5.39/4.25 tff(18942,plain,
% 5.39/4.25 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s69) | (~until27(s69)) | xuntil28(s69))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s69) | node26(s69) | (~until27(s69)))),
% 5.39/4.25 inference(transitivity,[status(thm)],[18941, 18939])).
% 5.39/4.25 tff(18943,plain,
% 5.39/4.25 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s69) | (~until27(s69)) | xuntil28(s69))),
% 5.39/4.25 inference(quant_inst,[status(thm)],[])).
% 5.39/4.25 tff(18944,plain,
% 5.39/4.25 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s69) | node26(s69) | (~until27(s69))),
% 5.39/4.25 inference(modus_ponens,[status(thm)],[18943, 18942])).
% 5.39/4.25 tff(18945,plain,
% 5.39/4.25 (xuntil28(s69)),
% 5.39/4.25 inference(unit_resolution,[status(thm)],[18944, 17992, 18938, 17481])).
% 5.39/4.25 tff(18946,plain,
% 5.39/4.25 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s69, s70)) | (~xuntil28(s69)) | until27(s70))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s69, s70)) | (~xuntil28(s69)) | until27(s70))),
% 5.39/4.25 inference(rewrite,[status(thm)],[])).
% 5.39/4.25 tff(18947,plain,
% 5.39/4.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s69, s70)) | (~xuntil28(s69)) | until27(s70))),
% 5.39/4.25 inference(quant_inst,[status(thm)],[])).
% 5.39/4.25 tff(18948,plain,
% 5.39/4.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s69, s70)) | (~xuntil28(s69)) | until27(s70)),
% 5.39/4.25 inference(modus_ponens,[status(thm)],[18947, 18946])).
% 5.39/4.25 tff(18949,plain,
% 5.39/4.25 ((~xuntil28(s69)) | until27(s70)),
% 5.39/4.25 inference(unit_resolution,[status(thm)],[18948, 5928, 18010])).
% 5.39/4.25 tff(18950,plain,
% 5.39/4.25 (until27(s70)),
% 5.39/4.25 inference(unit_resolution,[status(thm)],[18949, 18945])).
% 5.39/4.25 tff(18951,plain,
% 5.39/4.25 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s70) | node26(s70) | (~until27(s70)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s70) | node26(s70) | (~until27(s70)))),
% 5.39/4.25 inference(rewrite,[status(thm)],[])).
% 5.39/4.25 tff(18952,plain,
% 5.39/4.25 ((node26(s70) | (~until27(s70)) | xuntil28(s70)) <=> (xuntil28(s70) | node26(s70) | (~until27(s70)))),
% 5.39/4.25 inference(rewrite,[status(thm)],[])).
% 5.39/4.25 tff(18953,plain,
% 5.39/4.25 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s70) | (~until27(s70)) | xuntil28(s70))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s70) | node26(s70) | (~until27(s70))))),
% 5.39/4.25 inference(monotonicity,[status(thm)],[18952])).
% 5.39/4.25 tff(18954,plain,
% 5.39/4.25 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s70) | (~until27(s70)) | xuntil28(s70))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s70) | node26(s70) | (~until27(s70)))),
% 5.39/4.25 inference(transitivity,[status(thm)],[18953, 18951])).
% 5.39/4.25 tff(18955,plain,
% 5.39/4.25 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s70) | (~until27(s70)) | xuntil28(s70))),
% 5.39/4.25 inference(quant_inst,[status(thm)],[])).
% 5.39/4.25 tff(18956,plain,
% 5.39/4.25 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s70) | node26(s70) | (~until27(s70))),
% 5.39/4.25 inference(modus_ponens,[status(thm)],[18955, 18954])).
% 5.39/4.25 tff(18957,plain,
% 5.39/4.25 (xuntil28(s70) | node26(s70)),
% 5.39/4.25 inference(unit_resolution,[status(thm)],[18956, 17992, 18950])).
% 5.39/4.25 tff(18958,plain,
% 5.39/4.25 (xuntil28(s70)),
% 5.39/4.25 inference(unit_resolution,[status(thm)],[18957, 17477])).
% 5.39/4.25 tff(18959,plain,
% 5.39/4.25 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s70, s71)) | (~xuntil28(s70)) | until27(s71))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s70, s71)) | (~xuntil28(s70)) | until27(s71))),
% 5.39/4.25 inference(rewrite,[status(thm)],[])).
% 5.39/4.25 tff(18960,plain,
% 5.39/4.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s70, s71)) | (~xuntil28(s70)) | until27(s71))),
% 5.39/4.25 inference(quant_inst,[status(thm)],[])).
% 5.39/4.25 tff(18961,plain,
% 5.39/4.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s70, s71)) | (~xuntil28(s70)) | until27(s71)),
% 5.39/4.25 inference(modus_ponens,[status(thm)],[18960, 18959])).
% 5.39/4.25 tff(18962,plain,
% 5.39/4.25 ((~xuntil28(s70)) | until27(s71)),
% 5.39/4.25 inference(unit_resolution,[status(thm)],[18961, 5992, 18010])).
% 5.39/4.25 tff(18963,plain,
% 5.39/4.25 (until27(s71)),
% 5.39/4.25 inference(unit_resolution,[status(thm)],[18962, 18958])).
% 5.39/4.25 tff(18964,plain,
% 5.39/4.25 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s71) | node26(s71) | (~until27(s71)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s71) | node26(s71) | (~until27(s71)))),
% 5.39/4.25 inference(rewrite,[status(thm)],[])).
% 5.39/4.25 tff(18965,plain,
% 5.39/4.25 ((node26(s71) | (~until27(s71)) | xuntil28(s71)) <=> (xuntil28(s71) | node26(s71) | (~until27(s71)))),
% 5.39/4.25 inference(rewrite,[status(thm)],[])).
% 5.39/4.25 tff(18966,plain,
% 5.39/4.25 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s71) | (~until27(s71)) | xuntil28(s71))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s71) | node26(s71) | (~until27(s71))))),
% 5.39/4.25 inference(monotonicity,[status(thm)],[18965])).
% 5.39/4.25 tff(18967,plain,
% 5.39/4.25 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s71) | (~until27(s71)) | xuntil28(s71))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s71) | node26(s71) | (~until27(s71)))),
% 5.39/4.25 inference(transitivity,[status(thm)],[18966, 18964])).
% 5.39/4.25 tff(18968,plain,
% 5.39/4.25 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s71) | (~until27(s71)) | xuntil28(s71))),
% 5.39/4.25 inference(quant_inst,[status(thm)],[])).
% 5.39/4.25 tff(18969,plain,
% 5.39/4.25 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s71) | node26(s71) | (~until27(s71))),
% 5.39/4.25 inference(modus_ponens,[status(thm)],[18968, 18967])).
% 5.39/4.25 tff(18970,plain,
% 5.39/4.25 (xuntil28(s71)),
% 5.39/4.25 inference(unit_resolution,[status(thm)],[18969, 17992, 18963, 17468])).
% 5.39/4.25 tff(18971,plain,
% 5.39/4.25 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s71, s72)) | (~xuntil28(s71)) | until27(s72))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s71, s72)) | (~xuntil28(s71)) | until27(s72))),
% 5.39/4.25 inference(rewrite,[status(thm)],[])).
% 5.39/4.25 tff(18972,plain,
% 5.39/4.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s71, s72)) | (~xuntil28(s71)) | until27(s72))),
% 5.39/4.25 inference(quant_inst,[status(thm)],[])).
% 5.39/4.25 tff(18973,plain,
% 5.39/4.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s71, s72)) | (~xuntil28(s71)) | until27(s72)),
% 5.39/4.25 inference(modus_ponens,[status(thm)],[18972, 18971])).
% 5.39/4.25 tff(18974,plain,
% 5.39/4.25 ((~xuntil28(s71)) | until27(s72)),
% 5.39/4.25 inference(unit_resolution,[status(thm)],[18973, 6067, 18010])).
% 5.39/4.25 tff(18975,plain,
% 5.39/4.25 (until27(s72)),
% 5.39/4.25 inference(unit_resolution,[status(thm)],[18974, 18970])).
% 5.39/4.25 tff(18976,plain,
% 5.39/4.25 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s72) | (~node26(s72)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s72) | (~node26(s72)))),
% 5.39/4.25 inference(rewrite,[status(thm)],[])).
% 5.39/4.25 tff(18977,plain,
% 5.39/4.25 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s72) | (~node26(s72)))),
% 5.39/4.25 inference(quant_inst,[status(thm)],[])).
% 5.39/4.25 tff(18978,plain,
% 5.39/4.25 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s72) | (~node26(s72))),
% 5.39/4.25 inference(modus_ponens,[status(thm)],[18977, 18976])).
% 5.39/4.25 tff(18979,plain,
% 5.39/4.25 (~node26(s72)),
% 5.39/4.25 inference(unit_resolution,[status(thm)],[18978, 16500, 17459])).
% 5.39/4.25 tff(18980,plain,
% 5.39/4.25 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s72) | node26(s72) | (~until27(s72)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s72) | node26(s72) | (~until27(s72)))),
% 5.39/4.25 inference(rewrite,[status(thm)],[])).
% 5.39/4.25 tff(18981,plain,
% 5.39/4.25 ((node26(s72) | (~until27(s72)) | xuntil28(s72)) <=> (xuntil28(s72) | node26(s72) | (~until27(s72)))),
% 5.39/4.25 inference(rewrite,[status(thm)],[])).
% 5.39/4.25 tff(18982,plain,
% 5.39/4.25 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s72) | (~until27(s72)) | xuntil28(s72))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s72) | node26(s72) | (~until27(s72))))),
% 5.39/4.25 inference(monotonicity,[status(thm)],[18981])).
% 5.39/4.25 tff(18983,plain,
% 5.39/4.25 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s72) | (~until27(s72)) | xuntil28(s72))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s72) | node26(s72) | (~until27(s72)))),
% 5.39/4.25 inference(transitivity,[status(thm)],[18982, 18980])).
% 5.39/4.25 tff(18984,plain,
% 5.39/4.25 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s72) | (~until27(s72)) | xuntil28(s72))),
% 5.39/4.25 inference(quant_inst,[status(thm)],[])).
% 5.39/4.25 tff(18985,plain,
% 5.39/4.25 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s72) | node26(s72) | (~until27(s72))),
% 5.39/4.25 inference(modus_ponens,[status(thm)],[18984, 18983])).
% 5.39/4.25 tff(18986,plain,
% 5.39/4.25 (xuntil28(s72) | (~until27(s72))),
% 5.39/4.25 inference(unit_resolution,[status(thm)],[18985, 17992, 18979])).
% 5.39/4.25 tff(18987,plain,
% 5.39/4.25 (xuntil28(s72)),
% 5.39/4.25 inference(unit_resolution,[status(thm)],[18986, 18975])).
% 5.39/4.25 tff(18988,plain,
% 5.39/4.25 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s72, s73)) | (~xuntil28(s72)) | until27(s73))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s72, s73)) | (~xuntil28(s72)) | until27(s73))),
% 5.39/4.25 inference(rewrite,[status(thm)],[])).
% 5.39/4.25 tff(18989,plain,
% 5.39/4.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s72, s73)) | (~xuntil28(s72)) | until27(s73))),
% 5.39/4.25 inference(quant_inst,[status(thm)],[])).
% 5.39/4.25 tff(18990,plain,
% 5.39/4.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s72, s73)) | (~xuntil28(s72)) | until27(s73)),
% 5.39/4.25 inference(modus_ponens,[status(thm)],[18989, 18988])).
% 5.39/4.25 tff(18991,plain,
% 5.39/4.25 ((~xuntil28(s72)) | until27(s73)),
% 5.39/4.25 inference(unit_resolution,[status(thm)],[18990, 6156, 18010])).
% 5.39/4.25 tff(18992,plain,
% 5.39/4.25 (until27(s73)),
% 5.39/4.25 inference(unit_resolution,[status(thm)],[18991, 18987])).
% 5.39/4.25 tff(18993,plain,
% 5.39/4.25 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s73) | node26(s73) | (~until27(s73)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s73) | node26(s73) | (~until27(s73)))),
% 5.39/4.25 inference(rewrite,[status(thm)],[])).
% 5.39/4.25 tff(18994,plain,
% 5.39/4.25 ((node26(s73) | (~until27(s73)) | xuntil28(s73)) <=> (xuntil28(s73) | node26(s73) | (~until27(s73)))),
% 5.39/4.25 inference(rewrite,[status(thm)],[])).
% 5.39/4.25 tff(18995,plain,
% 5.39/4.25 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s73) | (~until27(s73)) | xuntil28(s73))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s73) | node26(s73) | (~until27(s73))))),
% 5.39/4.25 inference(monotonicity,[status(thm)],[18994])).
% 5.39/4.25 tff(18996,plain,
% 5.39/4.25 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s73) | (~until27(s73)) | xuntil28(s73))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s73) | node26(s73) | (~until27(s73)))),
% 5.39/4.25 inference(transitivity,[status(thm)],[18995, 18993])).
% 5.39/4.25 tff(18997,plain,
% 5.39/4.25 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s73) | (~until27(s73)) | xuntil28(s73))),
% 5.39/4.25 inference(quant_inst,[status(thm)],[])).
% 5.39/4.25 tff(18998,plain,
% 5.39/4.25 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s73) | node26(s73) | (~until27(s73))),
% 5.39/4.25 inference(modus_ponens,[status(thm)],[18997, 18996])).
% 5.39/4.25 tff(18999,plain,
% 5.39/4.25 (xuntil28(s73)),
% 5.39/4.25 inference(unit_resolution,[status(thm)],[18998, 17992, 18992, 17452])).
% 5.39/4.25 tff(19000,plain,
% 5.39/4.25 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s73, s74)) | (~xuntil28(s73)) | until27(s74))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s73, s74)) | (~xuntil28(s73)) | until27(s74))),
% 5.39/4.25 inference(rewrite,[status(thm)],[])).
% 5.39/4.25 tff(19001,plain,
% 5.39/4.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s73, s74)) | (~xuntil28(s73)) | until27(s74))),
% 5.39/4.25 inference(quant_inst,[status(thm)],[])).
% 5.39/4.25 tff(19002,plain,
% 5.39/4.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s73, s74)) | (~xuntil28(s73)) | until27(s74)),
% 5.39/4.25 inference(modus_ponens,[status(thm)],[19001, 19000])).
% 5.39/4.25 tff(19003,plain,
% 5.39/4.25 ((~xuntil28(s73)) | until27(s74)),
% 5.39/4.25 inference(unit_resolution,[status(thm)],[19002, 6223, 18010])).
% 5.39/4.25 tff(19004,plain,
% 5.39/4.25 (until27(s74)),
% 5.39/4.25 inference(unit_resolution,[status(thm)],[19003, 18999])).
% 5.39/4.25 tff(19005,plain,
% 5.39/4.25 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s74) | node26(s74) | (~until27(s74)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s74) | node26(s74) | (~until27(s74)))),
% 5.39/4.25 inference(rewrite,[status(thm)],[])).
% 5.39/4.25 tff(19006,plain,
% 5.39/4.25 ((node26(s74) | (~until27(s74)) | xuntil28(s74)) <=> (xuntil28(s74) | node26(s74) | (~until27(s74)))),
% 5.39/4.25 inference(rewrite,[status(thm)],[])).
% 5.39/4.25 tff(19007,plain,
% 5.39/4.25 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s74) | (~until27(s74)) | xuntil28(s74))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s74) | node26(s74) | (~until27(s74))))),
% 5.39/4.25 inference(monotonicity,[status(thm)],[19006])).
% 5.39/4.25 tff(19008,plain,
% 5.39/4.25 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s74) | (~until27(s74)) | xuntil28(s74))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s74) | node26(s74) | (~until27(s74)))),
% 5.39/4.25 inference(transitivity,[status(thm)],[19007, 19005])).
% 5.39/4.25 tff(19009,plain,
% 5.39/4.25 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s74) | (~until27(s74)) | xuntil28(s74))),
% 5.39/4.25 inference(quant_inst,[status(thm)],[])).
% 5.39/4.25 tff(19010,plain,
% 5.39/4.25 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s74) | node26(s74) | (~until27(s74))),
% 5.39/4.25 inference(modus_ponens,[status(thm)],[19009, 19008])).
% 5.39/4.25 tff(19011,plain,
% 5.39/4.25 (xuntil28(s74) | node26(s74)),
% 5.39/4.25 inference(unit_resolution,[status(thm)],[19010, 17992, 19004])).
% 5.39/4.25 tff(19012,plain,
% 5.39/4.25 (xuntil28(s74)),
% 5.39/4.25 inference(unit_resolution,[status(thm)],[19011, 17448])).
% 5.39/4.25 tff(19013,plain,
% 5.39/4.25 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s74, s75)) | (~xuntil28(s74)) | until27(s75))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s74, s75)) | (~xuntil28(s74)) | until27(s75))),
% 5.39/4.25 inference(rewrite,[status(thm)],[])).
% 5.39/4.25 tff(19014,plain,
% 5.39/4.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s74, s75)) | (~xuntil28(s74)) | until27(s75))),
% 5.39/4.25 inference(quant_inst,[status(thm)],[])).
% 5.39/4.25 tff(19015,plain,
% 5.39/4.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s74, s75)) | (~xuntil28(s74)) | until27(s75)),
% 5.39/4.25 inference(modus_ponens,[status(thm)],[19014, 19013])).
% 5.39/4.25 tff(19016,plain,
% 5.39/4.25 ((~xuntil28(s74)) | until27(s75)),
% 5.39/4.25 inference(unit_resolution,[status(thm)],[19015, 6322, 18010])).
% 5.39/4.25 tff(19017,plain,
% 5.39/4.25 (until27(s75)),
% 5.39/4.25 inference(unit_resolution,[status(thm)],[19016, 19012])).
% 5.39/4.25 tff(19018,plain,
% 5.39/4.25 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s75) | node26(s75) | (~until27(s75)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s75) | node26(s75) | (~until27(s75)))),
% 5.39/4.25 inference(rewrite,[status(thm)],[])).
% 5.39/4.25 tff(19019,plain,
% 5.39/4.25 ((node26(s75) | (~until27(s75)) | xuntil28(s75)) <=> (xuntil28(s75) | node26(s75) | (~until27(s75)))),
% 5.39/4.25 inference(rewrite,[status(thm)],[])).
% 5.39/4.25 tff(19020,plain,
% 5.39/4.25 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s75) | (~until27(s75)) | xuntil28(s75))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s75) | node26(s75) | (~until27(s75))))),
% 5.39/4.25 inference(monotonicity,[status(thm)],[19019])).
% 5.39/4.25 tff(19021,plain,
% 5.39/4.25 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s75) | (~until27(s75)) | xuntil28(s75))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s75) | node26(s75) | (~until27(s75)))),
% 5.39/4.25 inference(transitivity,[status(thm)],[19020, 19018])).
% 5.39/4.25 tff(19022,plain,
% 5.39/4.25 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s75) | (~until27(s75)) | xuntil28(s75))),
% 5.39/4.25 inference(quant_inst,[status(thm)],[])).
% 5.39/4.25 tff(19023,plain,
% 5.39/4.25 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s75) | node26(s75) | (~until27(s75))),
% 5.39/4.25 inference(modus_ponens,[status(thm)],[19022, 19021])).
% 5.39/4.25 tff(19024,plain,
% 5.39/4.25 (xuntil28(s75)),
% 5.39/4.25 inference(unit_resolution,[status(thm)],[19023, 17992, 19017, 17439])).
% 5.39/4.25 tff(19025,plain,
% 5.39/4.25 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s75, s76)) | (~xuntil28(s75)) | until27(s76))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s75, s76)) | (~xuntil28(s75)) | until27(s76))),
% 5.39/4.25 inference(rewrite,[status(thm)],[])).
% 5.39/4.25 tff(19026,plain,
% 5.39/4.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s75, s76)) | (~xuntil28(s75)) | until27(s76))),
% 5.39/4.25 inference(quant_inst,[status(thm)],[])).
% 5.39/4.25 tff(19027,plain,
% 5.39/4.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s75, s76)) | (~xuntil28(s75)) | until27(s76)),
% 5.39/4.25 inference(modus_ponens,[status(thm)],[19026, 19025])).
% 5.39/4.25 tff(19028,plain,
% 5.39/4.25 ((~xuntil28(s75)) | until27(s76)),
% 5.39/4.25 inference(unit_resolution,[status(thm)],[19027, 6400, 18010])).
% 5.39/4.25 tff(19029,plain,
% 5.39/4.25 (until27(s76)),
% 5.39/4.25 inference(unit_resolution,[status(thm)],[19028, 19024])).
% 5.39/4.25 tff(19030,plain,
% 5.39/4.25 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s76) | (~node26(s76)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s76) | (~node26(s76)))),
% 5.39/4.25 inference(rewrite,[status(thm)],[])).
% 5.39/4.25 tff(19031,plain,
% 5.39/4.25 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s76) | (~node26(s76)))),
% 5.39/4.25 inference(quant_inst,[status(thm)],[])).
% 5.39/4.25 tff(19032,plain,
% 5.39/4.25 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s76) | (~node26(s76))),
% 5.39/4.25 inference(modus_ponens,[status(thm)],[19031, 19030])).
% 5.39/4.25 tff(19033,plain,
% 5.39/4.25 (~node26(s76)),
% 5.39/4.25 inference(unit_resolution,[status(thm)],[19032, 16500, 17430])).
% 5.39/4.25 tff(19034,plain,
% 5.39/4.25 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s76) | node26(s76) | (~until27(s76)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s76) | node26(s76) | (~until27(s76)))),
% 5.39/4.25 inference(rewrite,[status(thm)],[])).
% 5.39/4.25 tff(19035,plain,
% 5.39/4.25 ((node26(s76) | (~until27(s76)) | xuntil28(s76)) <=> (xuntil28(s76) | node26(s76) | (~until27(s76)))),
% 5.39/4.25 inference(rewrite,[status(thm)],[])).
% 5.39/4.25 tff(19036,plain,
% 5.39/4.25 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s76) | (~until27(s76)) | xuntil28(s76))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s76) | node26(s76) | (~until27(s76))))),
% 5.39/4.25 inference(monotonicity,[status(thm)],[19035])).
% 5.39/4.25 tff(19037,plain,
% 5.39/4.25 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s76) | (~until27(s76)) | xuntil28(s76))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s76) | node26(s76) | (~until27(s76)))),
% 5.39/4.25 inference(transitivity,[status(thm)],[19036, 19034])).
% 5.39/4.25 tff(19038,plain,
% 5.39/4.25 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s76) | (~until27(s76)) | xuntil28(s76))),
% 5.39/4.25 inference(quant_inst,[status(thm)],[])).
% 5.39/4.25 tff(19039,plain,
% 5.39/4.25 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s76) | node26(s76) | (~until27(s76))),
% 5.39/4.25 inference(modus_ponens,[status(thm)],[19038, 19037])).
% 5.39/4.25 tff(19040,plain,
% 5.39/4.25 (xuntil28(s76) | (~until27(s76))),
% 5.39/4.25 inference(unit_resolution,[status(thm)],[19039, 17992, 19033])).
% 5.39/4.25 tff(19041,plain,
% 5.39/4.25 (xuntil28(s76)),
% 5.39/4.25 inference(unit_resolution,[status(thm)],[19040, 19029])).
% 5.39/4.25 tff(19042,plain,
% 5.39/4.25 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s76, s77)) | (~xuntil28(s76)) | until27(s77))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s76, s77)) | (~xuntil28(s76)) | until27(s77))),
% 5.39/4.25 inference(rewrite,[status(thm)],[])).
% 5.39/4.25 tff(19043,plain,
% 5.39/4.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s76, s77)) | (~xuntil28(s76)) | until27(s77))),
% 5.39/4.25 inference(quant_inst,[status(thm)],[])).
% 5.39/4.25 tff(19044,plain,
% 5.39/4.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s76, s77)) | (~xuntil28(s76)) | until27(s77)),
% 5.39/4.25 inference(modus_ponens,[status(thm)],[19043, 19042])).
% 5.39/4.25 tff(19045,plain,
% 5.39/4.25 ((~xuntil28(s76)) | until27(s77)),
% 5.39/4.25 inference(unit_resolution,[status(thm)],[19044, 6461, 18010])).
% 5.39/4.25 tff(19046,plain,
% 5.39/4.25 (until27(s77)),
% 5.39/4.25 inference(unit_resolution,[status(thm)],[19045, 19041])).
% 5.39/4.25 tff(19047,plain,
% 5.39/4.25 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s77) | node26(s77) | (~until27(s77)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s77) | node26(s77) | (~until27(s77)))),
% 5.39/4.25 inference(rewrite,[status(thm)],[])).
% 5.39/4.25 tff(19048,plain,
% 5.39/4.25 ((node26(s77) | (~until27(s77)) | xuntil28(s77)) <=> (xuntil28(s77) | node26(s77) | (~until27(s77)))),
% 5.39/4.25 inference(rewrite,[status(thm)],[])).
% 5.39/4.25 tff(19049,plain,
% 5.39/4.25 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s77) | (~until27(s77)) | xuntil28(s77))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s77) | node26(s77) | (~until27(s77))))),
% 5.39/4.25 inference(monotonicity,[status(thm)],[19048])).
% 5.39/4.25 tff(19050,plain,
% 5.39/4.25 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s77) | (~until27(s77)) | xuntil28(s77))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s77) | node26(s77) | (~until27(s77)))),
% 5.39/4.25 inference(transitivity,[status(thm)],[19049, 19047])).
% 5.39/4.25 tff(19051,plain,
% 5.39/4.25 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s77) | (~until27(s77)) | xuntil28(s77))),
% 5.39/4.25 inference(quant_inst,[status(thm)],[])).
% 5.39/4.25 tff(19052,plain,
% 5.39/4.25 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s77) | node26(s77) | (~until27(s77))),
% 5.39/4.25 inference(modus_ponens,[status(thm)],[19051, 19050])).
% 5.39/4.25 tff(19053,plain,
% 5.39/4.25 (xuntil28(s77)),
% 5.39/4.25 inference(unit_resolution,[status(thm)],[19052, 17992, 19046, 17423])).
% 5.39/4.25 tff(19054,plain,
% 5.39/4.25 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s77, s78)) | (~xuntil28(s77)) | until27(s78))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s77, s78)) | (~xuntil28(s77)) | until27(s78))),
% 5.39/4.25 inference(rewrite,[status(thm)],[])).
% 5.39/4.25 tff(19055,plain,
% 5.39/4.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s77, s78)) | (~xuntil28(s77)) | until27(s78))),
% 5.39/4.25 inference(quant_inst,[status(thm)],[])).
% 5.39/4.25 tff(19056,plain,
% 5.39/4.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s77, s78)) | (~xuntil28(s77)) | until27(s78)),
% 5.39/4.25 inference(modus_ponens,[status(thm)],[19055, 19054])).
% 5.39/4.25 tff(19057,plain,
% 5.39/4.25 ((~xuntil28(s77)) | until27(s78)),
% 5.39/4.25 inference(unit_resolution,[status(thm)],[19056, 6556, 18010])).
% 5.39/4.25 tff(19058,plain,
% 5.39/4.25 (until27(s78)),
% 5.39/4.25 inference(unit_resolution,[status(thm)],[19057, 19053])).
% 5.39/4.25 tff(19059,plain,
% 5.39/4.25 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s78) | node26(s78) | (~until27(s78)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s78) | node26(s78) | (~until27(s78)))),
% 5.39/4.25 inference(rewrite,[status(thm)],[])).
% 5.39/4.25 tff(19060,plain,
% 5.39/4.25 ((node26(s78) | (~until27(s78)) | xuntil28(s78)) <=> (xuntil28(s78) | node26(s78) | (~until27(s78)))),
% 5.39/4.25 inference(rewrite,[status(thm)],[])).
% 5.39/4.25 tff(19061,plain,
% 5.39/4.25 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s78) | (~until27(s78)) | xuntil28(s78))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s78) | node26(s78) | (~until27(s78))))),
% 5.39/4.25 inference(monotonicity,[status(thm)],[19060])).
% 5.39/4.25 tff(19062,plain,
% 5.39/4.25 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s78) | (~until27(s78)) | xuntil28(s78))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s78) | node26(s78) | (~until27(s78)))),
% 5.39/4.25 inference(transitivity,[status(thm)],[19061, 19059])).
% 5.39/4.25 tff(19063,plain,
% 5.39/4.25 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s78) | (~until27(s78)) | xuntil28(s78))),
% 5.39/4.25 inference(quant_inst,[status(thm)],[])).
% 5.39/4.25 tff(19064,plain,
% 5.39/4.25 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s78) | node26(s78) | (~until27(s78))),
% 5.39/4.25 inference(modus_ponens,[status(thm)],[19063, 19062])).
% 5.39/4.25 tff(19065,plain,
% 5.39/4.25 (xuntil28(s78) | node26(s78)),
% 5.39/4.25 inference(unit_resolution,[status(thm)],[19064, 17992, 19058])).
% 5.39/4.25 tff(19066,plain,
% 5.39/4.25 (xuntil28(s78)),
% 5.39/4.25 inference(unit_resolution,[status(thm)],[19065, 17419])).
% 5.39/4.25 tff(19067,plain,
% 5.39/4.25 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s78, s79)) | (~xuntil28(s78)) | until27(s79))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s78, s79)) | (~xuntil28(s78)) | until27(s79))),
% 5.39/4.25 inference(rewrite,[status(thm)],[])).
% 5.39/4.25 tff(19068,plain,
% 5.39/4.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s78, s79)) | (~xuntil28(s78)) | until27(s79))),
% 5.39/4.25 inference(quant_inst,[status(thm)],[])).
% 5.39/4.25 tff(19069,plain,
% 5.39/4.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s78, s79)) | (~xuntil28(s78)) | until27(s79)),
% 5.39/4.25 inference(modus_ponens,[status(thm)],[19068, 19067])).
% 5.39/4.25 tff(19070,plain,
% 5.39/4.25 ((~xuntil28(s78)) | until27(s79)),
% 5.39/4.25 inference(unit_resolution,[status(thm)],[19069, 6620, 18010])).
% 5.39/4.25 tff(19071,plain,
% 5.39/4.25 (until27(s79)),
% 5.39/4.25 inference(unit_resolution,[status(thm)],[19070, 19066])).
% 5.39/4.25 tff(19072,plain,
% 5.39/4.25 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s79) | node26(s79) | (~until27(s79)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s79) | node26(s79) | (~until27(s79)))),
% 5.39/4.25 inference(rewrite,[status(thm)],[])).
% 5.39/4.25 tff(19073,plain,
% 5.39/4.25 ((node26(s79) | (~until27(s79)) | xuntil28(s79)) <=> (xuntil28(s79) | node26(s79) | (~until27(s79)))),
% 5.39/4.25 inference(rewrite,[status(thm)],[])).
% 5.39/4.25 tff(19074,plain,
% 5.39/4.25 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s79) | (~until27(s79)) | xuntil28(s79))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s79) | node26(s79) | (~until27(s79))))),
% 5.39/4.25 inference(monotonicity,[status(thm)],[19073])).
% 5.39/4.25 tff(19075,plain,
% 5.39/4.25 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s79) | (~until27(s79)) | xuntil28(s79))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s79) | node26(s79) | (~until27(s79)))),
% 5.39/4.25 inference(transitivity,[status(thm)],[19074, 19072])).
% 5.39/4.25 tff(19076,plain,
% 5.39/4.25 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s79) | (~until27(s79)) | xuntil28(s79))),
% 5.39/4.25 inference(quant_inst,[status(thm)],[])).
% 5.39/4.25 tff(19077,plain,
% 5.39/4.25 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s79) | node26(s79) | (~until27(s79))),
% 5.39/4.25 inference(modus_ponens,[status(thm)],[19076, 19075])).
% 5.39/4.25 tff(19078,plain,
% 5.39/4.25 (xuntil28(s79)),
% 5.39/4.25 inference(unit_resolution,[status(thm)],[19077, 17992, 19071, 17410])).
% 5.39/4.25 tff(19079,plain,
% 5.39/4.25 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s79, s80)) | (~xuntil28(s79)) | until27(s80))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s79, s80)) | (~xuntil28(s79)) | until27(s80))),
% 5.39/4.25 inference(rewrite,[status(thm)],[])).
% 5.39/4.25 tff(19080,plain,
% 5.39/4.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s79, s80)) | (~xuntil28(s79)) | until27(s80))),
% 5.39/4.25 inference(quant_inst,[status(thm)],[])).
% 5.39/4.25 tff(19081,plain,
% 5.39/4.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s79, s80)) | (~xuntil28(s79)) | until27(s80)),
% 5.39/4.25 inference(modus_ponens,[status(thm)],[19080, 19079])).
% 5.39/4.25 tff(19082,plain,
% 5.39/4.25 ((~xuntil28(s79)) | until27(s80)),
% 5.39/4.25 inference(unit_resolution,[status(thm)],[19081, 6695, 18010])).
% 5.39/4.25 tff(19083,plain,
% 5.39/4.25 (until27(s80)),
% 5.39/4.25 inference(unit_resolution,[status(thm)],[19082, 19078])).
% 5.39/4.25 tff(19084,plain,
% 5.39/4.25 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s80) | (~node26(s80)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s80) | (~node26(s80)))),
% 5.39/4.25 inference(rewrite,[status(thm)],[])).
% 5.39/4.25 tff(19085,plain,
% 5.39/4.25 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s80) | (~node26(s80)))),
% 5.39/4.25 inference(quant_inst,[status(thm)],[])).
% 5.39/4.25 tff(19086,plain,
% 5.39/4.25 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s80) | (~node26(s80))),
% 5.39/4.25 inference(modus_ponens,[status(thm)],[19085, 19084])).
% 5.39/4.25 tff(19087,plain,
% 5.39/4.25 (~node26(s80)),
% 5.39/4.25 inference(unit_resolution,[status(thm)],[19086, 16500, 17401])).
% 5.39/4.25 tff(19088,plain,
% 5.39/4.25 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s80) | node26(s80) | (~until27(s80)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s80) | node26(s80) | (~until27(s80)))),
% 5.39/4.25 inference(rewrite,[status(thm)],[])).
% 5.39/4.25 tff(19089,plain,
% 5.39/4.25 ((node26(s80) | (~until27(s80)) | xuntil28(s80)) <=> (xuntil28(s80) | node26(s80) | (~until27(s80)))),
% 5.39/4.25 inference(rewrite,[status(thm)],[])).
% 5.39/4.25 tff(19090,plain,
% 5.39/4.25 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s80) | (~until27(s80)) | xuntil28(s80))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s80) | node26(s80) | (~until27(s80))))),
% 5.39/4.25 inference(monotonicity,[status(thm)],[19089])).
% 5.39/4.25 tff(19091,plain,
% 5.39/4.25 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s80) | (~until27(s80)) | xuntil28(s80))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s80) | node26(s80) | (~until27(s80)))),
% 5.39/4.25 inference(transitivity,[status(thm)],[19090, 19088])).
% 5.39/4.25 tff(19092,plain,
% 5.39/4.25 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s80) | (~until27(s80)) | xuntil28(s80))),
% 5.39/4.25 inference(quant_inst,[status(thm)],[])).
% 5.39/4.26 tff(19093,plain,
% 5.39/4.26 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s80) | node26(s80) | (~until27(s80))),
% 5.39/4.26 inference(modus_ponens,[status(thm)],[19092, 19091])).
% 5.39/4.26 tff(19094,plain,
% 5.39/4.26 (xuntil28(s80) | (~until27(s80))),
% 5.39/4.26 inference(unit_resolution,[status(thm)],[19093, 17992, 19087])).
% 5.39/4.26 tff(19095,plain,
% 5.39/4.26 (xuntil28(s80)),
% 5.39/4.26 inference(unit_resolution,[status(thm)],[19094, 19083])).
% 5.39/4.26 tff(19096,plain,
% 5.39/4.26 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s80, s81)) | (~xuntil28(s80)) | until27(s81))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s80, s81)) | (~xuntil28(s80)) | until27(s81))),
% 5.39/4.26 inference(rewrite,[status(thm)],[])).
% 5.39/4.26 tff(19097,plain,
% 5.39/4.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s80, s81)) | (~xuntil28(s80)) | until27(s81))),
% 5.39/4.26 inference(quant_inst,[status(thm)],[])).
% 5.39/4.26 tff(19098,plain,
% 5.39/4.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s80, s81)) | (~xuntil28(s80)) | until27(s81)),
% 5.39/4.26 inference(modus_ponens,[status(thm)],[19097, 19096])).
% 5.39/4.26 tff(19099,plain,
% 5.39/4.26 ((~xuntil28(s80)) | until27(s81)),
% 5.39/4.26 inference(unit_resolution,[status(thm)],[19098, 6784, 18010])).
% 5.39/4.26 tff(19100,plain,
% 5.39/4.26 (until27(s81)),
% 5.39/4.26 inference(unit_resolution,[status(thm)],[19099, 19095])).
% 5.39/4.26 tff(19101,plain,
% 5.39/4.26 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s81) | node26(s81) | (~until27(s81)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s81) | node26(s81) | (~until27(s81)))),
% 5.39/4.26 inference(rewrite,[status(thm)],[])).
% 5.39/4.26 tff(19102,plain,
% 5.39/4.26 ((node26(s81) | (~until27(s81)) | xuntil28(s81)) <=> (xuntil28(s81) | node26(s81) | (~until27(s81)))),
% 5.39/4.26 inference(rewrite,[status(thm)],[])).
% 5.39/4.26 tff(19103,plain,
% 5.39/4.26 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s81) | (~until27(s81)) | xuntil28(s81))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s81) | node26(s81) | (~until27(s81))))),
% 5.39/4.26 inference(monotonicity,[status(thm)],[19102])).
% 5.39/4.26 tff(19104,plain,
% 5.39/4.26 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s81) | (~until27(s81)) | xuntil28(s81))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s81) | node26(s81) | (~until27(s81)))),
% 5.39/4.26 inference(transitivity,[status(thm)],[19103, 19101])).
% 5.39/4.26 tff(19105,plain,
% 5.39/4.26 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s81) | (~until27(s81)) | xuntil28(s81))),
% 5.39/4.26 inference(quant_inst,[status(thm)],[])).
% 5.39/4.26 tff(19106,plain,
% 5.39/4.26 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s81) | node26(s81) | (~until27(s81))),
% 5.39/4.26 inference(modus_ponens,[status(thm)],[19105, 19104])).
% 5.39/4.26 tff(19107,plain,
% 5.39/4.26 (xuntil28(s81)),
% 5.39/4.26 inference(unit_resolution,[status(thm)],[19106, 17992, 19100, 17394])).
% 5.39/4.26 tff(19108,plain,
% 5.39/4.26 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s81, s82)) | (~xuntil28(s81)) | until27(s82))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s81, s82)) | (~xuntil28(s81)) | until27(s82))),
% 5.39/4.26 inference(rewrite,[status(thm)],[])).
% 5.39/4.26 tff(19109,plain,
% 5.39/4.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s81, s82)) | (~xuntil28(s81)) | until27(s82))),
% 5.39/4.26 inference(quant_inst,[status(thm)],[])).
% 5.39/4.26 tff(19110,plain,
% 5.39/4.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s81, s82)) | (~xuntil28(s81)) | until27(s82)),
% 5.39/4.26 inference(modus_ponens,[status(thm)],[19109, 19108])).
% 5.39/4.26 tff(19111,plain,
% 5.39/4.26 ((~xuntil28(s81)) | until27(s82)),
% 5.39/4.26 inference(unit_resolution,[status(thm)],[19110, 6851, 18010])).
% 5.39/4.26 tff(19112,plain,
% 5.39/4.26 (until27(s82)),
% 5.39/4.26 inference(unit_resolution,[status(thm)],[19111, 19107])).
% 5.39/4.26 tff(19113,plain,
% 5.39/4.26 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s82) | node26(s82) | (~until27(s82)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s82) | node26(s82) | (~until27(s82)))),
% 5.39/4.26 inference(rewrite,[status(thm)],[])).
% 5.39/4.26 tff(19114,plain,
% 5.39/4.26 ((node26(s82) | (~until27(s82)) | xuntil28(s82)) <=> (xuntil28(s82) | node26(s82) | (~until27(s82)))),
% 5.39/4.26 inference(rewrite,[status(thm)],[])).
% 5.39/4.26 tff(19115,plain,
% 5.39/4.26 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s82) | (~until27(s82)) | xuntil28(s82))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s82) | node26(s82) | (~until27(s82))))),
% 5.39/4.26 inference(monotonicity,[status(thm)],[19114])).
% 5.39/4.26 tff(19116,plain,
% 5.39/4.26 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s82) | (~until27(s82)) | xuntil28(s82))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s82) | node26(s82) | (~until27(s82)))),
% 5.39/4.26 inference(transitivity,[status(thm)],[19115, 19113])).
% 5.39/4.26 tff(19117,plain,
% 5.39/4.26 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s82) | (~until27(s82)) | xuntil28(s82))),
% 5.39/4.26 inference(quant_inst,[status(thm)],[])).
% 5.39/4.26 tff(19118,plain,
% 5.39/4.26 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s82) | node26(s82) | (~until27(s82))),
% 5.39/4.26 inference(modus_ponens,[status(thm)],[19117, 19116])).
% 5.39/4.26 tff(19119,plain,
% 5.39/4.26 (xuntil28(s82) | node26(s82)),
% 5.39/4.26 inference(unit_resolution,[status(thm)],[19118, 17992, 19112])).
% 5.39/4.26 tff(19120,plain,
% 5.39/4.26 (xuntil28(s82)),
% 5.39/4.26 inference(unit_resolution,[status(thm)],[19119, 17390])).
% 5.39/4.26 tff(19121,plain,
% 5.39/4.26 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s82, s83)) | (~xuntil28(s82)) | until27(s83))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s82, s83)) | (~xuntil28(s82)) | until27(s83))),
% 5.39/4.26 inference(rewrite,[status(thm)],[])).
% 5.39/4.26 tff(19122,plain,
% 5.39/4.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s82, s83)) | (~xuntil28(s82)) | until27(s83))),
% 5.39/4.26 inference(quant_inst,[status(thm)],[])).
% 5.39/4.26 tff(19123,plain,
% 5.39/4.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s82, s83)) | (~xuntil28(s82)) | until27(s83)),
% 5.39/4.26 inference(modus_ponens,[status(thm)],[19122, 19121])).
% 5.39/4.26 tff(19124,plain,
% 5.39/4.26 ((~xuntil28(s82)) | until27(s83)),
% 5.39/4.26 inference(unit_resolution,[status(thm)],[19123, 6950, 18010])).
% 5.39/4.26 tff(19125,plain,
% 5.39/4.26 (until27(s83)),
% 5.39/4.26 inference(unit_resolution,[status(thm)],[19124, 19120])).
% 5.39/4.26 tff(19126,plain,
% 5.39/4.26 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s83) | node26(s83) | (~until27(s83)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s83) | node26(s83) | (~until27(s83)))),
% 5.39/4.26 inference(rewrite,[status(thm)],[])).
% 5.39/4.26 tff(19127,plain,
% 5.39/4.26 ((node26(s83) | (~until27(s83)) | xuntil28(s83)) <=> (xuntil28(s83) | node26(s83) | (~until27(s83)))),
% 5.39/4.26 inference(rewrite,[status(thm)],[])).
% 5.39/4.26 tff(19128,plain,
% 5.39/4.26 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s83) | (~until27(s83)) | xuntil28(s83))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s83) | node26(s83) | (~until27(s83))))),
% 5.39/4.26 inference(monotonicity,[status(thm)],[19127])).
% 5.39/4.26 tff(19129,plain,
% 5.39/4.26 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s83) | (~until27(s83)) | xuntil28(s83))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s83) | node26(s83) | (~until27(s83)))),
% 5.39/4.26 inference(transitivity,[status(thm)],[19128, 19126])).
% 5.39/4.26 tff(19130,plain,
% 5.39/4.26 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s83) | (~until27(s83)) | xuntil28(s83))),
% 5.39/4.26 inference(quant_inst,[status(thm)],[])).
% 5.39/4.26 tff(19131,plain,
% 5.39/4.26 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s83) | node26(s83) | (~until27(s83))),
% 5.39/4.26 inference(modus_ponens,[status(thm)],[19130, 19129])).
% 5.39/4.26 tff(19132,plain,
% 5.39/4.26 (xuntil28(s83)),
% 5.39/4.26 inference(unit_resolution,[status(thm)],[19131, 17992, 19125, 17381])).
% 5.39/4.26 tff(19133,plain,
% 5.39/4.26 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s83, s84)) | (~xuntil28(s83)) | until27(s84))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s83, s84)) | (~xuntil28(s83)) | until27(s84))),
% 5.39/4.26 inference(rewrite,[status(thm)],[])).
% 5.39/4.26 tff(19134,plain,
% 5.39/4.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s83, s84)) | (~xuntil28(s83)) | until27(s84))),
% 5.39/4.26 inference(quant_inst,[status(thm)],[])).
% 5.39/4.26 tff(19135,plain,
% 5.39/4.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s83, s84)) | (~xuntil28(s83)) | until27(s84)),
% 5.39/4.26 inference(modus_ponens,[status(thm)],[19134, 19133])).
% 5.39/4.26 tff(19136,plain,
% 5.39/4.26 ((~xuntil28(s83)) | until27(s84)),
% 5.39/4.26 inference(unit_resolution,[status(thm)],[19135, 7028, 18010])).
% 5.39/4.26 tff(19137,plain,
% 5.39/4.26 (until27(s84)),
% 5.39/4.26 inference(unit_resolution,[status(thm)],[19136, 19132])).
% 5.39/4.26 tff(19138,plain,
% 5.39/4.26 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s84) | (~node26(s84)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s84) | (~node26(s84)))),
% 5.39/4.26 inference(rewrite,[status(thm)],[])).
% 5.39/4.26 tff(19139,plain,
% 5.39/4.26 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s84) | (~node26(s84)))),
% 5.39/4.26 inference(quant_inst,[status(thm)],[])).
% 5.39/4.26 tff(19140,plain,
% 5.39/4.26 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s84) | (~node26(s84))),
% 5.39/4.26 inference(modus_ponens,[status(thm)],[19139, 19138])).
% 5.39/4.26 tff(19141,plain,
% 5.39/4.26 (~node26(s84)),
% 5.39/4.26 inference(unit_resolution,[status(thm)],[19140, 16500, 17372])).
% 5.39/4.26 tff(19142,plain,
% 5.39/4.26 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s84) | node26(s84) | (~until27(s84)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s84) | node26(s84) | (~until27(s84)))),
% 5.39/4.26 inference(rewrite,[status(thm)],[])).
% 5.39/4.26 tff(19143,plain,
% 5.39/4.26 ((node26(s84) | (~until27(s84)) | xuntil28(s84)) <=> (xuntil28(s84) | node26(s84) | (~until27(s84)))),
% 5.39/4.26 inference(rewrite,[status(thm)],[])).
% 5.39/4.26 tff(19144,plain,
% 5.39/4.26 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s84) | (~until27(s84)) | xuntil28(s84))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s84) | node26(s84) | (~until27(s84))))),
% 5.39/4.26 inference(monotonicity,[status(thm)],[19143])).
% 5.39/4.26 tff(19145,plain,
% 5.39/4.26 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s84) | (~until27(s84)) | xuntil28(s84))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s84) | node26(s84) | (~until27(s84)))),
% 5.39/4.26 inference(transitivity,[status(thm)],[19144, 19142])).
% 5.39/4.26 tff(19146,plain,
% 5.39/4.26 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s84) | (~until27(s84)) | xuntil28(s84))),
% 5.39/4.26 inference(quant_inst,[status(thm)],[])).
% 5.39/4.26 tff(19147,plain,
% 5.39/4.26 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s84) | node26(s84) | (~until27(s84))),
% 5.39/4.26 inference(modus_ponens,[status(thm)],[19146, 19145])).
% 5.39/4.26 tff(19148,plain,
% 5.39/4.26 (xuntil28(s84) | (~until27(s84))),
% 5.39/4.26 inference(unit_resolution,[status(thm)],[19147, 17992, 19141])).
% 5.39/4.26 tff(19149,plain,
% 5.39/4.26 (xuntil28(s84)),
% 5.39/4.26 inference(unit_resolution,[status(thm)],[19148, 19137])).
% 5.39/4.26 tff(19150,plain,
% 5.39/4.26 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s84, s85)) | (~xuntil28(s84)) | until27(s85))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s84, s85)) | (~xuntil28(s84)) | until27(s85))),
% 5.39/4.26 inference(rewrite,[status(thm)],[])).
% 5.39/4.26 tff(19151,plain,
% 5.39/4.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s84, s85)) | (~xuntil28(s84)) | until27(s85))),
% 5.39/4.26 inference(quant_inst,[status(thm)],[])).
% 5.39/4.26 tff(19152,plain,
% 5.39/4.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s84, s85)) | (~xuntil28(s84)) | until27(s85)),
% 5.39/4.26 inference(modus_ponens,[status(thm)],[19151, 19150])).
% 5.39/4.26 tff(19153,plain,
% 5.39/4.26 ((~xuntil28(s84)) | until27(s85)),
% 5.39/4.26 inference(unit_resolution,[status(thm)],[19152, 7089, 18010])).
% 5.39/4.26 tff(19154,plain,
% 5.39/4.26 (until27(s85)),
% 5.39/4.26 inference(unit_resolution,[status(thm)],[19153, 19149])).
% 5.39/4.26 tff(19155,plain,
% 5.39/4.26 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s85) | node26(s85) | (~until27(s85)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s85) | node26(s85) | (~until27(s85)))),
% 5.39/4.26 inference(rewrite,[status(thm)],[])).
% 5.39/4.26 tff(19156,plain,
% 5.39/4.26 ((node26(s85) | (~until27(s85)) | xuntil28(s85)) <=> (xuntil28(s85) | node26(s85) | (~until27(s85)))),
% 5.39/4.26 inference(rewrite,[status(thm)],[])).
% 5.39/4.26 tff(19157,plain,
% 5.39/4.26 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s85) | (~until27(s85)) | xuntil28(s85))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s85) | node26(s85) | (~until27(s85))))),
% 5.39/4.26 inference(monotonicity,[status(thm)],[19156])).
% 5.39/4.26 tff(19158,plain,
% 5.39/4.26 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s85) | (~until27(s85)) | xuntil28(s85))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s85) | node26(s85) | (~until27(s85)))),
% 5.39/4.26 inference(transitivity,[status(thm)],[19157, 19155])).
% 5.39/4.26 tff(19159,plain,
% 5.39/4.26 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s85) | (~until27(s85)) | xuntil28(s85))),
% 5.39/4.26 inference(quant_inst,[status(thm)],[])).
% 5.39/4.26 tff(19160,plain,
% 5.39/4.26 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s85) | node26(s85) | (~until27(s85))),
% 5.39/4.26 inference(modus_ponens,[status(thm)],[19159, 19158])).
% 5.39/4.26 tff(19161,plain,
% 5.39/4.26 (xuntil28(s85)),
% 5.39/4.26 inference(unit_resolution,[status(thm)],[19160, 17992, 19154, 17365])).
% 5.39/4.26 tff(19162,plain,
% 5.39/4.26 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s85, s86)) | (~xuntil28(s85)) | until27(s86))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s85, s86)) | (~xuntil28(s85)) | until27(s86))),
% 5.39/4.26 inference(rewrite,[status(thm)],[])).
% 5.39/4.26 tff(19163,plain,
% 5.39/4.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s85, s86)) | (~xuntil28(s85)) | until27(s86))),
% 5.39/4.26 inference(quant_inst,[status(thm)],[])).
% 5.39/4.26 tff(19164,plain,
% 5.39/4.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s85, s86)) | (~xuntil28(s85)) | until27(s86)),
% 5.39/4.26 inference(modus_ponens,[status(thm)],[19163, 19162])).
% 5.39/4.26 tff(19165,plain,
% 5.39/4.26 ((~xuntil28(s85)) | until27(s86)),
% 5.39/4.26 inference(unit_resolution,[status(thm)],[19164, 7184, 18010])).
% 5.39/4.26 tff(19166,plain,
% 5.39/4.26 (until27(s86)),
% 5.39/4.26 inference(unit_resolution,[status(thm)],[19165, 19161])).
% 5.39/4.26 tff(19167,plain,
% 5.39/4.26 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s86) | node26(s86) | (~until27(s86)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s86) | node26(s86) | (~until27(s86)))),
% 5.39/4.26 inference(rewrite,[status(thm)],[])).
% 5.39/4.26 tff(19168,plain,
% 5.39/4.26 ((node26(s86) | (~until27(s86)) | xuntil28(s86)) <=> (xuntil28(s86) | node26(s86) | (~until27(s86)))),
% 5.39/4.26 inference(rewrite,[status(thm)],[])).
% 5.39/4.26 tff(19169,plain,
% 5.39/4.26 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s86) | (~until27(s86)) | xuntil28(s86))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s86) | node26(s86) | (~until27(s86))))),
% 5.39/4.26 inference(monotonicity,[status(thm)],[19168])).
% 5.39/4.26 tff(19170,plain,
% 5.39/4.26 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s86) | (~until27(s86)) | xuntil28(s86))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s86) | node26(s86) | (~until27(s86)))),
% 5.39/4.26 inference(transitivity,[status(thm)],[19169, 19167])).
% 5.39/4.26 tff(19171,plain,
% 5.39/4.26 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s86) | (~until27(s86)) | xuntil28(s86))),
% 5.39/4.26 inference(quant_inst,[status(thm)],[])).
% 5.39/4.26 tff(19172,plain,
% 5.39/4.26 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s86) | node26(s86) | (~until27(s86))),
% 5.39/4.26 inference(modus_ponens,[status(thm)],[19171, 19170])).
% 5.39/4.26 tff(19173,plain,
% 5.39/4.26 (xuntil28(s86) | node26(s86)),
% 5.39/4.26 inference(unit_resolution,[status(thm)],[19172, 17992, 19166])).
% 5.39/4.26 tff(19174,plain,
% 5.39/4.26 (xuntil28(s86)),
% 5.39/4.26 inference(unit_resolution,[status(thm)],[19173, 17361])).
% 5.39/4.26 tff(19175,plain,
% 5.39/4.26 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s86, s87)) | (~xuntil28(s86)) | until27(s87))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s86, s87)) | (~xuntil28(s86)) | until27(s87))),
% 5.39/4.26 inference(rewrite,[status(thm)],[])).
% 5.39/4.26 tff(19176,plain,
% 5.39/4.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s86, s87)) | (~xuntil28(s86)) | until27(s87))),
% 5.39/4.26 inference(quant_inst,[status(thm)],[])).
% 5.39/4.26 tff(19177,plain,
% 5.39/4.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s86, s87)) | (~xuntil28(s86)) | until27(s87)),
% 5.39/4.26 inference(modus_ponens,[status(thm)],[19176, 19175])).
% 5.39/4.26 tff(19178,plain,
% 5.39/4.26 ((~xuntil28(s86)) | until27(s87)),
% 5.39/4.26 inference(unit_resolution,[status(thm)],[19177, 7248, 18010])).
% 5.39/4.26 tff(19179,plain,
% 5.39/4.26 (until27(s87)),
% 5.39/4.26 inference(unit_resolution,[status(thm)],[19178, 19174])).
% 5.39/4.26 tff(19180,plain,
% 5.39/4.26 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s87) | node26(s87) | (~until27(s87)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s87) | node26(s87) | (~until27(s87)))),
% 5.39/4.26 inference(rewrite,[status(thm)],[])).
% 5.39/4.26 tff(19181,plain,
% 5.39/4.26 ((node26(s87) | (~until27(s87)) | xuntil28(s87)) <=> (xuntil28(s87) | node26(s87) | (~until27(s87)))),
% 5.39/4.26 inference(rewrite,[status(thm)],[])).
% 5.39/4.26 tff(19182,plain,
% 5.39/4.26 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s87) | (~until27(s87)) | xuntil28(s87))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s87) | node26(s87) | (~until27(s87))))),
% 5.39/4.26 inference(monotonicity,[status(thm)],[19181])).
% 5.39/4.26 tff(19183,plain,
% 5.39/4.26 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s87) | (~until27(s87)) | xuntil28(s87))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s87) | node26(s87) | (~until27(s87)))),
% 5.39/4.26 inference(transitivity,[status(thm)],[19182, 19180])).
% 5.39/4.26 tff(19184,plain,
% 5.39/4.26 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s87) | (~until27(s87)) | xuntil28(s87))),
% 5.39/4.26 inference(quant_inst,[status(thm)],[])).
% 5.39/4.26 tff(19185,plain,
% 5.39/4.26 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s87) | node26(s87) | (~until27(s87))),
% 5.39/4.26 inference(modus_ponens,[status(thm)],[19184, 19183])).
% 5.39/4.26 tff(19186,plain,
% 5.39/4.26 (xuntil28(s87)),
% 5.39/4.26 inference(unit_resolution,[status(thm)],[19185, 17992, 19179, 17352])).
% 5.39/4.26 tff(19187,plain,
% 5.39/4.26 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s87, s88)) | (~xuntil28(s87)) | until27(s88))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s87, s88)) | (~xuntil28(s87)) | until27(s88))),
% 5.39/4.26 inference(rewrite,[status(thm)],[])).
% 5.39/4.26 tff(19188,plain,
% 5.39/4.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s87, s88)) | (~xuntil28(s87)) | until27(s88))),
% 5.39/4.26 inference(quant_inst,[status(thm)],[])).
% 5.39/4.26 tff(19189,plain,
% 5.39/4.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s87, s88)) | (~xuntil28(s87)) | until27(s88)),
% 5.39/4.26 inference(modus_ponens,[status(thm)],[19188, 19187])).
% 5.39/4.26 tff(19190,plain,
% 5.39/4.26 ((~xuntil28(s87)) | until27(s88)),
% 5.39/4.26 inference(unit_resolution,[status(thm)],[19189, 7323, 18010])).
% 5.39/4.26 tff(19191,plain,
% 5.39/4.26 (until27(s88)),
% 5.39/4.26 inference(unit_resolution,[status(thm)],[19190, 19186])).
% 5.39/4.26 tff(19192,plain,
% 5.39/4.26 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s88) | (~node26(s88)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s88) | (~node26(s88)))),
% 5.39/4.26 inference(rewrite,[status(thm)],[])).
% 5.39/4.26 tff(19193,plain,
% 5.39/4.26 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s88) | (~node26(s88)))),
% 5.39/4.26 inference(quant_inst,[status(thm)],[])).
% 5.39/4.26 tff(19194,plain,
% 5.39/4.26 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s88) | (~node26(s88))),
% 5.39/4.26 inference(modus_ponens,[status(thm)],[19193, 19192])).
% 5.39/4.26 tff(19195,plain,
% 5.39/4.26 (~node26(s88)),
% 5.39/4.26 inference(unit_resolution,[status(thm)],[19194, 16500, 17343])).
% 5.39/4.26 tff(19196,plain,
% 5.39/4.26 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s88) | node26(s88) | (~until27(s88)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s88) | node26(s88) | (~until27(s88)))),
% 5.39/4.26 inference(rewrite,[status(thm)],[])).
% 5.39/4.26 tff(19197,plain,
% 5.39/4.26 ((node26(s88) | (~until27(s88)) | xuntil28(s88)) <=> (xuntil28(s88) | node26(s88) | (~until27(s88)))),
% 5.39/4.26 inference(rewrite,[status(thm)],[])).
% 5.39/4.26 tff(19198,plain,
% 5.39/4.26 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s88) | (~until27(s88)) | xuntil28(s88))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s88) | node26(s88) | (~until27(s88))))),
% 5.39/4.26 inference(monotonicity,[status(thm)],[19197])).
% 5.39/4.26 tff(19199,plain,
% 5.39/4.26 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s88) | (~until27(s88)) | xuntil28(s88))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s88) | node26(s88) | (~until27(s88)))),
% 5.39/4.26 inference(transitivity,[status(thm)],[19198, 19196])).
% 5.39/4.26 tff(19200,plain,
% 5.39/4.26 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s88) | (~until27(s88)) | xuntil28(s88))),
% 5.39/4.26 inference(quant_inst,[status(thm)],[])).
% 5.39/4.26 tff(19201,plain,
% 5.39/4.26 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s88) | node26(s88) | (~until27(s88))),
% 5.39/4.26 inference(modus_ponens,[status(thm)],[19200, 19199])).
% 5.39/4.26 tff(19202,plain,
% 5.39/4.26 (xuntil28(s88) | (~until27(s88))),
% 5.39/4.26 inference(unit_resolution,[status(thm)],[19201, 17992, 19195])).
% 5.39/4.26 tff(19203,plain,
% 5.39/4.26 (xuntil28(s88)),
% 5.39/4.26 inference(unit_resolution,[status(thm)],[19202, 19191])).
% 5.39/4.26 tff(19204,plain,
% 5.39/4.26 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s88, s89)) | (~xuntil28(s88)) | until27(s89))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s88, s89)) | (~xuntil28(s88)) | until27(s89))),
% 5.39/4.26 inference(rewrite,[status(thm)],[])).
% 5.39/4.26 tff(19205,plain,
% 5.39/4.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s88, s89)) | (~xuntil28(s88)) | until27(s89))),
% 5.39/4.26 inference(quant_inst,[status(thm)],[])).
% 5.39/4.26 tff(19206,plain,
% 5.39/4.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s88, s89)) | (~xuntil28(s88)) | until27(s89)),
% 5.39/4.26 inference(modus_ponens,[status(thm)],[19205, 19204])).
% 5.39/4.26 tff(19207,plain,
% 5.39/4.26 ((~xuntil28(s88)) | until27(s89)),
% 5.39/4.26 inference(unit_resolution,[status(thm)],[19206, 7412, 18010])).
% 5.39/4.26 tff(19208,plain,
% 5.39/4.26 (until27(s89)),
% 5.39/4.26 inference(unit_resolution,[status(thm)],[19207, 19203])).
% 5.39/4.26 tff(19209,plain,
% 5.39/4.26 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s89) | node26(s89) | (~until27(s89)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s89) | node26(s89) | (~until27(s89)))),
% 5.39/4.26 inference(rewrite,[status(thm)],[])).
% 5.39/4.26 tff(19210,plain,
% 5.39/4.26 ((node26(s89) | (~until27(s89)) | xuntil28(s89)) <=> (xuntil28(s89) | node26(s89) | (~until27(s89)))),
% 5.39/4.26 inference(rewrite,[status(thm)],[])).
% 5.39/4.26 tff(19211,plain,
% 5.39/4.26 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s89) | (~until27(s89)) | xuntil28(s89))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s89) | node26(s89) | (~until27(s89))))),
% 5.39/4.26 inference(monotonicity,[status(thm)],[19210])).
% 5.39/4.26 tff(19212,plain,
% 5.39/4.26 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s89) | (~until27(s89)) | xuntil28(s89))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s89) | node26(s89) | (~until27(s89)))),
% 5.39/4.26 inference(transitivity,[status(thm)],[19211, 19209])).
% 5.39/4.26 tff(19213,plain,
% 5.39/4.26 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s89) | (~until27(s89)) | xuntil28(s89))),
% 5.39/4.26 inference(quant_inst,[status(thm)],[])).
% 5.39/4.26 tff(19214,plain,
% 5.39/4.26 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s89) | node26(s89) | (~until27(s89))),
% 5.39/4.26 inference(modus_ponens,[status(thm)],[19213, 19212])).
% 5.39/4.26 tff(19215,plain,
% 5.39/4.26 (xuntil28(s89)),
% 5.39/4.26 inference(unit_resolution,[status(thm)],[19214, 17992, 19208, 17336])).
% 5.39/4.26 tff(19216,plain,
% 5.39/4.26 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s89, s90)) | (~xuntil28(s89)) | until27(s90))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s89, s90)) | (~xuntil28(s89)) | until27(s90))),
% 5.39/4.26 inference(rewrite,[status(thm)],[])).
% 5.39/4.26 tff(19217,plain,
% 5.39/4.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s89, s90)) | (~xuntil28(s89)) | until27(s90))),
% 5.39/4.26 inference(quant_inst,[status(thm)],[])).
% 5.39/4.26 tff(19218,plain,
% 5.39/4.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s89, s90)) | (~xuntil28(s89)) | until27(s90)),
% 5.39/4.26 inference(modus_ponens,[status(thm)],[19217, 19216])).
% 5.39/4.26 tff(19219,plain,
% 5.39/4.26 ((~xuntil28(s89)) | until27(s90)),
% 5.39/4.26 inference(unit_resolution,[status(thm)],[19218, 7479, 18010])).
% 5.39/4.26 tff(19220,plain,
% 5.39/4.26 (until27(s90)),
% 5.39/4.26 inference(unit_resolution,[status(thm)],[19219, 19215])).
% 5.39/4.26 tff(19221,plain,
% 5.39/4.26 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s90) | node26(s90) | (~until27(s90)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s90) | node26(s90) | (~until27(s90)))),
% 5.39/4.26 inference(rewrite,[status(thm)],[])).
% 5.39/4.26 tff(19222,plain,
% 5.39/4.26 ((node26(s90) | (~until27(s90)) | xuntil28(s90)) <=> (xuntil28(s90) | node26(s90) | (~until27(s90)))),
% 5.39/4.26 inference(rewrite,[status(thm)],[])).
% 5.39/4.26 tff(19223,plain,
% 5.39/4.26 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s90) | (~until27(s90)) | xuntil28(s90))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s90) | node26(s90) | (~until27(s90))))),
% 5.39/4.26 inference(monotonicity,[status(thm)],[19222])).
% 5.39/4.26 tff(19224,plain,
% 5.39/4.26 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s90) | (~until27(s90)) | xuntil28(s90))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s90) | node26(s90) | (~until27(s90)))),
% 5.39/4.26 inference(transitivity,[status(thm)],[19223, 19221])).
% 5.39/4.26 tff(19225,plain,
% 5.39/4.26 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s90) | (~until27(s90)) | xuntil28(s90))),
% 5.39/4.26 inference(quant_inst,[status(thm)],[])).
% 5.39/4.26 tff(19226,plain,
% 5.39/4.26 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s90) | node26(s90) | (~until27(s90))),
% 5.39/4.26 inference(modus_ponens,[status(thm)],[19225, 19224])).
% 5.39/4.26 tff(19227,plain,
% 5.39/4.26 (xuntil28(s90) | node26(s90)),
% 5.39/4.26 inference(unit_resolution,[status(thm)],[19226, 17992, 19220])).
% 5.39/4.26 tff(19228,plain,
% 5.39/4.26 (xuntil28(s90)),
% 5.39/4.26 inference(unit_resolution,[status(thm)],[19227, 17332])).
% 5.39/4.26 tff(19229,plain,
% 5.39/4.26 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s90, s91)) | (~xuntil28(s90)) | until27(s91))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s90, s91)) | (~xuntil28(s90)) | until27(s91))),
% 5.39/4.26 inference(rewrite,[status(thm)],[])).
% 5.39/4.26 tff(19230,plain,
% 5.39/4.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s90, s91)) | (~xuntil28(s90)) | until27(s91))),
% 5.39/4.26 inference(quant_inst,[status(thm)],[])).
% 5.39/4.26 tff(19231,plain,
% 5.39/4.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s90, s91)) | (~xuntil28(s90)) | until27(s91)),
% 5.39/4.26 inference(modus_ponens,[status(thm)],[19230, 19229])).
% 5.39/4.26 tff(19232,plain,
% 5.39/4.26 ((~xuntil28(s90)) | until27(s91)),
% 5.39/4.26 inference(unit_resolution,[status(thm)],[19231, 7578, 18010])).
% 5.39/4.26 tff(19233,plain,
% 5.39/4.26 (until27(s91)),
% 5.39/4.26 inference(unit_resolution,[status(thm)],[19232, 19228])).
% 5.39/4.26 tff(19234,plain,
% 5.39/4.26 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s91) | node26(s91) | (~until27(s91)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s91) | node26(s91) | (~until27(s91)))),
% 5.39/4.26 inference(rewrite,[status(thm)],[])).
% 5.39/4.26 tff(19235,plain,
% 5.39/4.26 ((node26(s91) | (~until27(s91)) | xuntil28(s91)) <=> (xuntil28(s91) | node26(s91) | (~until27(s91)))),
% 5.39/4.26 inference(rewrite,[status(thm)],[])).
% 5.39/4.26 tff(19236,plain,
% 5.39/4.26 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s91) | (~until27(s91)) | xuntil28(s91))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s91) | node26(s91) | (~until27(s91))))),
% 5.39/4.26 inference(monotonicity,[status(thm)],[19235])).
% 5.39/4.26 tff(19237,plain,
% 5.39/4.26 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s91) | (~until27(s91)) | xuntil28(s91))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s91) | node26(s91) | (~until27(s91)))),
% 5.39/4.26 inference(transitivity,[status(thm)],[19236, 19234])).
% 5.39/4.26 tff(19238,plain,
% 5.39/4.26 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s91) | (~until27(s91)) | xuntil28(s91))),
% 5.39/4.26 inference(quant_inst,[status(thm)],[])).
% 5.39/4.26 tff(19239,plain,
% 5.39/4.26 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s91) | node26(s91) | (~until27(s91))),
% 5.39/4.26 inference(modus_ponens,[status(thm)],[19238, 19237])).
% 5.39/4.26 tff(19240,plain,
% 5.39/4.26 (xuntil28(s91)),
% 5.39/4.26 inference(unit_resolution,[status(thm)],[19239, 17992, 19233, 17323])).
% 5.39/4.26 tff(19241,plain,
% 5.39/4.26 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s91, s92)) | (~xuntil28(s91)) | until27(s92))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s91, s92)) | (~xuntil28(s91)) | until27(s92))),
% 5.39/4.26 inference(rewrite,[status(thm)],[])).
% 5.39/4.26 tff(19242,plain,
% 5.39/4.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s91, s92)) | (~xuntil28(s91)) | until27(s92))),
% 5.39/4.26 inference(quant_inst,[status(thm)],[])).
% 5.39/4.26 tff(19243,plain,
% 5.39/4.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s91, s92)) | (~xuntil28(s91)) | until27(s92)),
% 5.39/4.26 inference(modus_ponens,[status(thm)],[19242, 19241])).
% 5.39/4.26 tff(19244,plain,
% 5.39/4.26 ((~xuntil28(s91)) | until27(s92)),
% 5.39/4.26 inference(unit_resolution,[status(thm)],[19243, 7656, 18010])).
% 5.39/4.26 tff(19245,plain,
% 5.39/4.26 (until27(s92)),
% 5.39/4.26 inference(unit_resolution,[status(thm)],[19244, 19240])).
% 5.39/4.26 tff(19246,plain,
% 5.39/4.26 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s92) | (~node26(s92)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s92) | (~node26(s92)))),
% 5.39/4.26 inference(rewrite,[status(thm)],[])).
% 5.39/4.26 tff(19247,plain,
% 5.39/4.26 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s92) | (~node26(s92)))),
% 5.39/4.26 inference(quant_inst,[status(thm)],[])).
% 5.39/4.26 tff(19248,plain,
% 5.39/4.26 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s92) | (~node26(s92))),
% 5.39/4.26 inference(modus_ponens,[status(thm)],[19247, 19246])).
% 5.39/4.26 tff(19249,plain,
% 5.39/4.26 (~node26(s92)),
% 5.39/4.26 inference(unit_resolution,[status(thm)],[19248, 16500, 17314])).
% 5.39/4.26 tff(19250,plain,
% 5.39/4.26 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s92) | node26(s92) | (~until27(s92)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s92) | node26(s92) | (~until27(s92)))),
% 5.39/4.26 inference(rewrite,[status(thm)],[])).
% 5.39/4.26 tff(19251,plain,
% 5.39/4.26 ((node26(s92) | (~until27(s92)) | xuntil28(s92)) <=> (xuntil28(s92) | node26(s92) | (~until27(s92)))),
% 5.39/4.26 inference(rewrite,[status(thm)],[])).
% 5.39/4.26 tff(19252,plain,
% 5.39/4.26 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s92) | (~until27(s92)) | xuntil28(s92))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s92) | node26(s92) | (~until27(s92))))),
% 5.39/4.26 inference(monotonicity,[status(thm)],[19251])).
% 5.39/4.26 tff(19253,plain,
% 5.39/4.26 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s92) | (~until27(s92)) | xuntil28(s92))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s92) | node26(s92) | (~until27(s92)))),
% 5.39/4.26 inference(transitivity,[status(thm)],[19252, 19250])).
% 5.39/4.26 tff(19254,plain,
% 5.39/4.26 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s92) | (~until27(s92)) | xuntil28(s92))),
% 5.39/4.26 inference(quant_inst,[status(thm)],[])).
% 5.39/4.26 tff(19255,plain,
% 5.39/4.26 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s92) | node26(s92) | (~until27(s92))),
% 5.39/4.26 inference(modus_ponens,[status(thm)],[19254, 19253])).
% 5.39/4.26 tff(19256,plain,
% 5.39/4.26 (xuntil28(s92) | (~until27(s92))),
% 5.39/4.26 inference(unit_resolution,[status(thm)],[19255, 17992, 19249])).
% 5.39/4.26 tff(19257,plain,
% 5.39/4.26 (xuntil28(s92)),
% 5.39/4.26 inference(unit_resolution,[status(thm)],[19256, 19245])).
% 5.39/4.26 tff(19258,plain,
% 5.39/4.26 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s92, s93)) | (~xuntil28(s92)) | until27(s93))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s92, s93)) | (~xuntil28(s92)) | until27(s93))),
% 5.39/4.27 inference(rewrite,[status(thm)],[])).
% 5.39/4.27 tff(19259,plain,
% 5.39/4.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s92, s93)) | (~xuntil28(s92)) | until27(s93))),
% 5.39/4.27 inference(quant_inst,[status(thm)],[])).
% 5.39/4.27 tff(19260,plain,
% 5.39/4.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s92, s93)) | (~xuntil28(s92)) | until27(s93)),
% 5.39/4.27 inference(modus_ponens,[status(thm)],[19259, 19258])).
% 5.39/4.27 tff(19261,plain,
% 5.39/4.27 ((~xuntil28(s92)) | until27(s93)),
% 5.39/4.27 inference(unit_resolution,[status(thm)],[19260, 7717, 18010])).
% 5.39/4.27 tff(19262,plain,
% 5.39/4.27 (until27(s93)),
% 5.39/4.27 inference(unit_resolution,[status(thm)],[19261, 19257])).
% 5.39/4.27 tff(19263,plain,
% 5.39/4.27 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s93) | node26(s93) | (~until27(s93)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s93) | node26(s93) | (~until27(s93)))),
% 5.39/4.27 inference(rewrite,[status(thm)],[])).
% 5.39/4.27 tff(19264,plain,
% 5.39/4.27 ((node26(s93) | (~until27(s93)) | xuntil28(s93)) <=> (xuntil28(s93) | node26(s93) | (~until27(s93)))),
% 5.39/4.27 inference(rewrite,[status(thm)],[])).
% 5.39/4.27 tff(19265,plain,
% 5.39/4.27 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s93) | (~until27(s93)) | xuntil28(s93))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s93) | node26(s93) | (~until27(s93))))),
% 5.39/4.27 inference(monotonicity,[status(thm)],[19264])).
% 5.39/4.27 tff(19266,plain,
% 5.39/4.27 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s93) | (~until27(s93)) | xuntil28(s93))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s93) | node26(s93) | (~until27(s93)))),
% 5.39/4.27 inference(transitivity,[status(thm)],[19265, 19263])).
% 5.39/4.27 tff(19267,plain,
% 5.39/4.27 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s93) | (~until27(s93)) | xuntil28(s93))),
% 5.39/4.27 inference(quant_inst,[status(thm)],[])).
% 5.39/4.27 tff(19268,plain,
% 5.39/4.27 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s93) | node26(s93) | (~until27(s93))),
% 5.39/4.27 inference(modus_ponens,[status(thm)],[19267, 19266])).
% 5.39/4.27 tff(19269,plain,
% 5.39/4.27 (xuntil28(s93)),
% 5.39/4.27 inference(unit_resolution,[status(thm)],[19268, 17992, 19262, 17307])).
% 5.39/4.27 tff(19270,plain,
% 5.39/4.27 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s93, s94)) | (~xuntil28(s93)) | until27(s94))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s93, s94)) | (~xuntil28(s93)) | until27(s94))),
% 5.39/4.27 inference(rewrite,[status(thm)],[])).
% 5.39/4.27 tff(19271,plain,
% 5.39/4.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s93, s94)) | (~xuntil28(s93)) | until27(s94))),
% 5.39/4.27 inference(quant_inst,[status(thm)],[])).
% 5.39/4.27 tff(19272,plain,
% 5.39/4.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s93, s94)) | (~xuntil28(s93)) | until27(s94)),
% 5.39/4.27 inference(modus_ponens,[status(thm)],[19271, 19270])).
% 5.39/4.27 tff(19273,plain,
% 5.39/4.27 ((~xuntil28(s93)) | until27(s94)),
% 5.39/4.27 inference(unit_resolution,[status(thm)],[19272, 7812, 18010])).
% 5.39/4.27 tff(19274,plain,
% 5.39/4.27 (until27(s94)),
% 5.39/4.27 inference(unit_resolution,[status(thm)],[19273, 19269])).
% 5.39/4.27 tff(19275,plain,
% 5.39/4.27 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s94) | node26(s94) | (~until27(s94)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s94) | node26(s94) | (~until27(s94)))),
% 5.39/4.27 inference(rewrite,[status(thm)],[])).
% 5.39/4.27 tff(19276,plain,
% 5.39/4.27 ((node26(s94) | (~until27(s94)) | xuntil28(s94)) <=> (xuntil28(s94) | node26(s94) | (~until27(s94)))),
% 5.39/4.27 inference(rewrite,[status(thm)],[])).
% 5.39/4.27 tff(19277,plain,
% 5.39/4.27 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s94) | (~until27(s94)) | xuntil28(s94))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s94) | node26(s94) | (~until27(s94))))),
% 5.39/4.27 inference(monotonicity,[status(thm)],[19276])).
% 5.39/4.27 tff(19278,plain,
% 5.39/4.27 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s94) | (~until27(s94)) | xuntil28(s94))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s94) | node26(s94) | (~until27(s94)))),
% 5.39/4.27 inference(transitivity,[status(thm)],[19277, 19275])).
% 5.39/4.27 tff(19279,plain,
% 5.39/4.27 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s94) | (~until27(s94)) | xuntil28(s94))),
% 5.39/4.27 inference(quant_inst,[status(thm)],[])).
% 5.39/4.27 tff(19280,plain,
% 5.39/4.27 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s94) | node26(s94) | (~until27(s94))),
% 5.39/4.27 inference(modus_ponens,[status(thm)],[19279, 19278])).
% 5.39/4.27 tff(19281,plain,
% 5.39/4.27 (xuntil28(s94) | node26(s94)),
% 5.39/4.27 inference(unit_resolution,[status(thm)],[19280, 17992, 19274])).
% 5.39/4.27 tff(19282,plain,
% 5.39/4.27 (xuntil28(s94)),
% 5.39/4.27 inference(unit_resolution,[status(thm)],[19281, 17303])).
% 5.39/4.27 tff(19283,plain,
% 5.39/4.27 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s94, s95)) | (~xuntil28(s94)) | until27(s95))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s94, s95)) | (~xuntil28(s94)) | until27(s95))),
% 5.39/4.27 inference(rewrite,[status(thm)],[])).
% 5.39/4.27 tff(19284,plain,
% 5.39/4.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s94, s95)) | (~xuntil28(s94)) | until27(s95))),
% 5.39/4.27 inference(quant_inst,[status(thm)],[])).
% 5.39/4.27 tff(19285,plain,
% 5.39/4.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s94, s95)) | (~xuntil28(s94)) | until27(s95)),
% 5.39/4.27 inference(modus_ponens,[status(thm)],[19284, 19283])).
% 5.39/4.27 tff(19286,plain,
% 5.39/4.27 ((~xuntil28(s94)) | until27(s95)),
% 5.39/4.27 inference(unit_resolution,[status(thm)],[19285, 7876, 18010])).
% 5.39/4.27 tff(19287,plain,
% 5.39/4.27 (until27(s95)),
% 5.39/4.27 inference(unit_resolution,[status(thm)],[19286, 19282])).
% 5.39/4.27 tff(19288,plain,
% 5.39/4.27 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s95) | node26(s95) | (~until27(s95)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s95) | node26(s95) | (~until27(s95)))),
% 5.39/4.27 inference(rewrite,[status(thm)],[])).
% 5.39/4.27 tff(19289,plain,
% 5.39/4.27 ((node26(s95) | (~until27(s95)) | xuntil28(s95)) <=> (xuntil28(s95) | node26(s95) | (~until27(s95)))),
% 5.39/4.27 inference(rewrite,[status(thm)],[])).
% 5.39/4.27 tff(19290,plain,
% 5.39/4.27 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s95) | (~until27(s95)) | xuntil28(s95))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s95) | node26(s95) | (~until27(s95))))),
% 5.39/4.27 inference(monotonicity,[status(thm)],[19289])).
% 5.39/4.27 tff(19291,plain,
% 5.39/4.27 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s95) | (~until27(s95)) | xuntil28(s95))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s95) | node26(s95) | (~until27(s95)))),
% 5.39/4.27 inference(transitivity,[status(thm)],[19290, 19288])).
% 5.39/4.27 tff(19292,plain,
% 5.39/4.27 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s95) | (~until27(s95)) | xuntil28(s95))),
% 5.39/4.27 inference(quant_inst,[status(thm)],[])).
% 5.39/4.27 tff(19293,plain,
% 5.39/4.27 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s95) | node26(s95) | (~until27(s95))),
% 5.39/4.27 inference(modus_ponens,[status(thm)],[19292, 19291])).
% 5.39/4.27 tff(19294,plain,
% 5.39/4.27 (xuntil28(s95)),
% 5.39/4.27 inference(unit_resolution,[status(thm)],[19293, 17992, 19287, 17294])).
% 5.39/4.27 tff(19295,plain,
% 5.39/4.27 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s95, s96)) | (~xuntil28(s95)) | until27(s96))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s95, s96)) | (~xuntil28(s95)) | until27(s96))),
% 5.39/4.27 inference(rewrite,[status(thm)],[])).
% 5.39/4.27 tff(19296,plain,
% 5.39/4.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s95, s96)) | (~xuntil28(s95)) | until27(s96))),
% 5.39/4.27 inference(quant_inst,[status(thm)],[])).
% 5.39/4.27 tff(19297,plain,
% 5.39/4.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s95, s96)) | (~xuntil28(s95)) | until27(s96)),
% 5.39/4.27 inference(modus_ponens,[status(thm)],[19296, 19295])).
% 5.39/4.27 tff(19298,plain,
% 5.39/4.27 ((~xuntil28(s95)) | until27(s96)),
% 5.39/4.27 inference(unit_resolution,[status(thm)],[19297, 7951, 18010])).
% 5.39/4.27 tff(19299,plain,
% 5.39/4.27 (until27(s96)),
% 5.39/4.27 inference(unit_resolution,[status(thm)],[19298, 19294])).
% 5.39/4.27 tff(19300,plain,
% 5.39/4.27 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s96) | (~node26(s96)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s96) | (~node26(s96)))),
% 5.39/4.27 inference(rewrite,[status(thm)],[])).
% 5.39/4.27 tff(19301,plain,
% 5.39/4.27 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s96) | (~node26(s96)))),
% 5.39/4.27 inference(quant_inst,[status(thm)],[])).
% 5.39/4.27 tff(19302,plain,
% 5.39/4.27 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s96) | (~node26(s96))),
% 5.39/4.27 inference(modus_ponens,[status(thm)],[19301, 19300])).
% 5.39/4.27 tff(19303,plain,
% 5.39/4.27 (~node26(s96)),
% 5.39/4.27 inference(unit_resolution,[status(thm)],[19302, 16500, 17285])).
% 5.39/4.27 tff(19304,plain,
% 5.39/4.27 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s96) | node26(s96) | (~until27(s96)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s96) | node26(s96) | (~until27(s96)))),
% 5.39/4.27 inference(rewrite,[status(thm)],[])).
% 5.39/4.27 tff(19305,plain,
% 5.39/4.27 ((node26(s96) | (~until27(s96)) | xuntil28(s96)) <=> (xuntil28(s96) | node26(s96) | (~until27(s96)))),
% 5.39/4.27 inference(rewrite,[status(thm)],[])).
% 5.39/4.27 tff(19306,plain,
% 5.39/4.27 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s96) | (~until27(s96)) | xuntil28(s96))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s96) | node26(s96) | (~until27(s96))))),
% 5.39/4.27 inference(monotonicity,[status(thm)],[19305])).
% 5.39/4.27 tff(19307,plain,
% 5.39/4.27 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s96) | (~until27(s96)) | xuntil28(s96))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s96) | node26(s96) | (~until27(s96)))),
% 5.39/4.27 inference(transitivity,[status(thm)],[19306, 19304])).
% 5.39/4.27 tff(19308,plain,
% 5.39/4.27 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s96) | (~until27(s96)) | xuntil28(s96))),
% 5.39/4.27 inference(quant_inst,[status(thm)],[])).
% 5.39/4.27 tff(19309,plain,
% 5.39/4.27 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s96) | node26(s96) | (~until27(s96))),
% 5.39/4.27 inference(modus_ponens,[status(thm)],[19308, 19307])).
% 5.39/4.27 tff(19310,plain,
% 5.39/4.27 (xuntil28(s96) | (~until27(s96))),
% 5.39/4.27 inference(unit_resolution,[status(thm)],[19309, 17992, 19303])).
% 5.39/4.27 tff(19311,plain,
% 5.39/4.27 (xuntil28(s96)),
% 5.39/4.27 inference(unit_resolution,[status(thm)],[19310, 19299])).
% 5.39/4.27 tff(19312,plain,
% 5.39/4.27 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s96, s97)) | (~xuntil28(s96)) | until27(s97))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s96, s97)) | (~xuntil28(s96)) | until27(s97))),
% 5.39/4.27 inference(rewrite,[status(thm)],[])).
% 5.39/4.27 tff(19313,plain,
% 5.39/4.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s96, s97)) | (~xuntil28(s96)) | until27(s97))),
% 5.39/4.27 inference(quant_inst,[status(thm)],[])).
% 5.39/4.27 tff(19314,plain,
% 5.39/4.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s96, s97)) | (~xuntil28(s96)) | until27(s97)),
% 5.39/4.27 inference(modus_ponens,[status(thm)],[19313, 19312])).
% 5.39/4.27 tff(19315,plain,
% 5.39/4.27 ((~xuntil28(s96)) | until27(s97)),
% 5.39/4.27 inference(unit_resolution,[status(thm)],[19314, 8040, 18010])).
% 5.39/4.27 tff(19316,plain,
% 5.39/4.27 (until27(s97)),
% 5.39/4.27 inference(unit_resolution,[status(thm)],[19315, 19311])).
% 5.39/4.27 tff(19317,plain,
% 5.39/4.27 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s97) | node26(s97) | (~until27(s97)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s97) | node26(s97) | (~until27(s97)))),
% 5.39/4.27 inference(rewrite,[status(thm)],[])).
% 5.39/4.27 tff(19318,plain,
% 5.39/4.27 ((node26(s97) | (~until27(s97)) | xuntil28(s97)) <=> (xuntil28(s97) | node26(s97) | (~until27(s97)))),
% 5.39/4.27 inference(rewrite,[status(thm)],[])).
% 5.39/4.27 tff(19319,plain,
% 5.39/4.27 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s97) | (~until27(s97)) | xuntil28(s97))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s97) | node26(s97) | (~until27(s97))))),
% 5.39/4.27 inference(monotonicity,[status(thm)],[19318])).
% 5.39/4.27 tff(19320,plain,
% 5.39/4.27 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s97) | (~until27(s97)) | xuntil28(s97))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s97) | node26(s97) | (~until27(s97)))),
% 5.39/4.27 inference(transitivity,[status(thm)],[19319, 19317])).
% 5.39/4.27 tff(19321,plain,
% 5.39/4.27 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s97) | (~until27(s97)) | xuntil28(s97))),
% 5.39/4.27 inference(quant_inst,[status(thm)],[])).
% 5.39/4.27 tff(19322,plain,
% 5.39/4.27 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s97) | node26(s97) | (~until27(s97))),
% 5.39/4.27 inference(modus_ponens,[status(thm)],[19321, 19320])).
% 5.39/4.27 tff(19323,plain,
% 5.39/4.27 (xuntil28(s97)),
% 5.39/4.27 inference(unit_resolution,[status(thm)],[19322, 17992, 19316, 17278])).
% 5.39/4.27 tff(19324,plain,
% 5.39/4.27 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s97, s98)) | (~xuntil28(s97)) | until27(s98))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s97, s98)) | (~xuntil28(s97)) | until27(s98))),
% 5.39/4.27 inference(rewrite,[status(thm)],[])).
% 5.39/4.27 tff(19325,plain,
% 5.39/4.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s97, s98)) | (~xuntil28(s97)) | until27(s98))),
% 5.39/4.27 inference(quant_inst,[status(thm)],[])).
% 5.39/4.27 tff(19326,plain,
% 5.39/4.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s97, s98)) | (~xuntil28(s97)) | until27(s98)),
% 5.39/4.27 inference(modus_ponens,[status(thm)],[19325, 19324])).
% 5.39/4.27 tff(19327,plain,
% 5.39/4.27 ((~xuntil28(s97)) | until27(s98)),
% 5.39/4.27 inference(unit_resolution,[status(thm)],[19326, 8107, 18010])).
% 5.39/4.27 tff(19328,plain,
% 5.39/4.27 (until27(s98)),
% 5.39/4.27 inference(unit_resolution,[status(thm)],[19327, 19323])).
% 5.39/4.27 tff(19329,plain,
% 5.39/4.27 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s98) | node26(s98) | (~until27(s98)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s98) | node26(s98) | (~until27(s98)))),
% 5.39/4.27 inference(rewrite,[status(thm)],[])).
% 5.39/4.27 tff(19330,plain,
% 5.39/4.27 ((node26(s98) | (~until27(s98)) | xuntil28(s98)) <=> (xuntil28(s98) | node26(s98) | (~until27(s98)))),
% 5.39/4.27 inference(rewrite,[status(thm)],[])).
% 5.39/4.27 tff(19331,plain,
% 5.39/4.27 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s98) | (~until27(s98)) | xuntil28(s98))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s98) | node26(s98) | (~until27(s98))))),
% 5.39/4.27 inference(monotonicity,[status(thm)],[19330])).
% 5.39/4.27 tff(19332,plain,
% 5.39/4.27 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s98) | (~until27(s98)) | xuntil28(s98))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s98) | node26(s98) | (~until27(s98)))),
% 5.39/4.27 inference(transitivity,[status(thm)],[19331, 19329])).
% 5.39/4.27 tff(19333,plain,
% 5.39/4.27 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s98) | (~until27(s98)) | xuntil28(s98))),
% 5.39/4.27 inference(quant_inst,[status(thm)],[])).
% 5.39/4.27 tff(19334,plain,
% 5.39/4.27 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s98) | node26(s98) | (~until27(s98))),
% 5.39/4.27 inference(modus_ponens,[status(thm)],[19333, 19332])).
% 5.39/4.27 tff(19335,plain,
% 5.39/4.27 (xuntil28(s98) | node26(s98)),
% 5.39/4.27 inference(unit_resolution,[status(thm)],[19334, 17992, 19328])).
% 5.39/4.27 tff(19336,plain,
% 5.39/4.27 (xuntil28(s98)),
% 5.39/4.27 inference(unit_resolution,[status(thm)],[19335, 17274])).
% 5.39/4.27 tff(19337,plain,
% 5.39/4.27 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s98, s99)) | (~xuntil28(s98)) | until27(s99))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s98, s99)) | (~xuntil28(s98)) | until27(s99))),
% 5.39/4.27 inference(rewrite,[status(thm)],[])).
% 5.39/4.27 tff(19338,plain,
% 5.39/4.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s98, s99)) | (~xuntil28(s98)) | until27(s99))),
% 5.39/4.27 inference(quant_inst,[status(thm)],[])).
% 5.39/4.27 tff(19339,plain,
% 5.39/4.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s98, s99)) | (~xuntil28(s98)) | until27(s99)),
% 5.39/4.27 inference(modus_ponens,[status(thm)],[19338, 19337])).
% 5.39/4.27 tff(19340,plain,
% 5.39/4.27 ((~xuntil28(s98)) | until27(s99)),
% 5.39/4.27 inference(unit_resolution,[status(thm)],[19339, 8206, 18010])).
% 5.39/4.27 tff(19341,plain,
% 5.39/4.27 (until27(s99)),
% 5.39/4.27 inference(unit_resolution,[status(thm)],[19340, 19336])).
% 5.39/4.27 tff(19342,plain,
% 5.39/4.27 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s99) | node26(s99) | (~until27(s99)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s99) | node26(s99) | (~until27(s99)))),
% 5.39/4.27 inference(rewrite,[status(thm)],[])).
% 5.39/4.27 tff(19343,plain,
% 5.39/4.27 ((node26(s99) | (~until27(s99)) | xuntil28(s99)) <=> (xuntil28(s99) | node26(s99) | (~until27(s99)))),
% 5.39/4.27 inference(rewrite,[status(thm)],[])).
% 5.39/4.27 tff(19344,plain,
% 5.39/4.27 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s99) | (~until27(s99)) | xuntil28(s99))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s99) | node26(s99) | (~until27(s99))))),
% 5.39/4.27 inference(monotonicity,[status(thm)],[19343])).
% 5.39/4.27 tff(19345,plain,
% 5.39/4.27 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s99) | (~until27(s99)) | xuntil28(s99))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s99) | node26(s99) | (~until27(s99)))),
% 5.39/4.27 inference(transitivity,[status(thm)],[19344, 19342])).
% 5.39/4.27 tff(19346,plain,
% 5.39/4.27 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s99) | (~until27(s99)) | xuntil28(s99))),
% 5.39/4.27 inference(quant_inst,[status(thm)],[])).
% 5.39/4.27 tff(19347,plain,
% 5.39/4.27 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s99) | node26(s99) | (~until27(s99))),
% 5.39/4.27 inference(modus_ponens,[status(thm)],[19346, 19345])).
% 5.39/4.27 tff(19348,plain,
% 5.39/4.27 (xuntil28(s99)),
% 5.39/4.27 inference(unit_resolution,[status(thm)],[19347, 17992, 19341, 17265])).
% 5.39/4.27 tff(19349,plain,
% 5.39/4.27 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s99, s100)) | (~xuntil28(s99)) | until27(s100))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s99, s100)) | (~xuntil28(s99)) | until27(s100))),
% 5.39/4.27 inference(rewrite,[status(thm)],[])).
% 5.39/4.27 tff(19350,plain,
% 5.39/4.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s99, s100)) | (~xuntil28(s99)) | until27(s100))),
% 5.39/4.27 inference(quant_inst,[status(thm)],[])).
% 5.39/4.27 tff(19351,plain,
% 5.39/4.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s99, s100)) | (~xuntil28(s99)) | until27(s100)),
% 5.39/4.27 inference(modus_ponens,[status(thm)],[19350, 19349])).
% 5.39/4.27 tff(19352,plain,
% 5.39/4.27 ((~xuntil28(s99)) | until27(s100)),
% 5.39/4.27 inference(unit_resolution,[status(thm)],[19351, 8284, 18010])).
% 5.39/4.27 tff(19353,plain,
% 5.39/4.27 (until27(s100)),
% 5.39/4.27 inference(unit_resolution,[status(thm)],[19352, 19348])).
% 5.39/4.27 tff(19354,plain,
% 5.39/4.27 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s100) | (~node26(s100)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s100) | (~node26(s100)))),
% 5.39/4.27 inference(rewrite,[status(thm)],[])).
% 5.39/4.27 tff(19355,plain,
% 5.39/4.27 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s100) | (~node26(s100)))),
% 5.39/4.27 inference(quant_inst,[status(thm)],[])).
% 5.39/4.27 tff(19356,plain,
% 5.39/4.27 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s100) | (~node26(s100))),
% 5.39/4.27 inference(modus_ponens,[status(thm)],[19355, 19354])).
% 5.39/4.27 tff(19357,plain,
% 5.39/4.27 (~node26(s100)),
% 5.39/4.27 inference(unit_resolution,[status(thm)],[19356, 16500, 17256])).
% 5.39/4.27 tff(19358,plain,
% 5.39/4.27 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s100) | node26(s100) | (~until27(s100)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s100) | node26(s100) | (~until27(s100)))),
% 5.39/4.27 inference(rewrite,[status(thm)],[])).
% 5.39/4.27 tff(19359,plain,
% 5.39/4.27 ((node26(s100) | (~until27(s100)) | xuntil28(s100)) <=> (xuntil28(s100) | node26(s100) | (~until27(s100)))),
% 5.39/4.27 inference(rewrite,[status(thm)],[])).
% 5.39/4.27 tff(19360,plain,
% 5.39/4.27 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s100) | (~until27(s100)) | xuntil28(s100))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s100) | node26(s100) | (~until27(s100))))),
% 5.39/4.27 inference(monotonicity,[status(thm)],[19359])).
% 5.39/4.27 tff(19361,plain,
% 5.39/4.27 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s100) | (~until27(s100)) | xuntil28(s100))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s100) | node26(s100) | (~until27(s100)))),
% 5.39/4.27 inference(transitivity,[status(thm)],[19360, 19358])).
% 5.39/4.27 tff(19362,plain,
% 5.39/4.27 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s100) | (~until27(s100)) | xuntil28(s100))),
% 5.39/4.27 inference(quant_inst,[status(thm)],[])).
% 5.39/4.27 tff(19363,plain,
% 5.39/4.27 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s100) | node26(s100) | (~until27(s100))),
% 5.39/4.27 inference(modus_ponens,[status(thm)],[19362, 19361])).
% 5.39/4.27 tff(19364,plain,
% 5.39/4.27 (xuntil28(s100) | (~until27(s100))),
% 5.39/4.27 inference(unit_resolution,[status(thm)],[19363, 17992, 19357])).
% 5.39/4.27 tff(19365,plain,
% 5.39/4.27 (xuntil28(s100)),
% 5.39/4.27 inference(unit_resolution,[status(thm)],[19364, 19353])).
% 5.39/4.27 tff(19366,plain,
% 5.39/4.27 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s100, s101)) | (~xuntil28(s100)) | until27(s101))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s100, s101)) | (~xuntil28(s100)) | until27(s101))),
% 5.39/4.27 inference(rewrite,[status(thm)],[])).
% 5.39/4.27 tff(19367,plain,
% 5.39/4.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s100, s101)) | (~xuntil28(s100)) | until27(s101))),
% 5.39/4.27 inference(quant_inst,[status(thm)],[])).
% 5.39/4.27 tff(19368,plain,
% 5.39/4.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s100, s101)) | (~xuntil28(s100)) | until27(s101)),
% 5.39/4.27 inference(modus_ponens,[status(thm)],[19367, 19366])).
% 5.39/4.27 tff(19369,plain,
% 5.39/4.27 ((~xuntil28(s100)) | until27(s101)),
% 5.39/4.27 inference(unit_resolution,[status(thm)],[19368, 8345, 18010])).
% 5.39/4.27 tff(19370,plain,
% 5.39/4.27 (until27(s101)),
% 5.39/4.27 inference(unit_resolution,[status(thm)],[19369, 19365])).
% 5.39/4.27 tff(19371,plain,
% 5.39/4.27 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s101) | node26(s101) | (~until27(s101)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s101) | node26(s101) | (~until27(s101)))),
% 5.39/4.27 inference(rewrite,[status(thm)],[])).
% 5.39/4.27 tff(19372,plain,
% 5.39/4.27 ((node26(s101) | (~until27(s101)) | xuntil28(s101)) <=> (xuntil28(s101) | node26(s101) | (~until27(s101)))),
% 5.39/4.27 inference(rewrite,[status(thm)],[])).
% 5.39/4.27 tff(19373,plain,
% 5.39/4.27 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s101) | (~until27(s101)) | xuntil28(s101))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s101) | node26(s101) | (~until27(s101))))),
% 5.39/4.27 inference(monotonicity,[status(thm)],[19372])).
% 5.39/4.27 tff(19374,plain,
% 5.39/4.27 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s101) | (~until27(s101)) | xuntil28(s101))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s101) | node26(s101) | (~until27(s101)))),
% 5.39/4.27 inference(transitivity,[status(thm)],[19373, 19371])).
% 5.39/4.27 tff(19375,plain,
% 5.39/4.27 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s101) | (~until27(s101)) | xuntil28(s101))),
% 5.39/4.27 inference(quant_inst,[status(thm)],[])).
% 5.39/4.27 tff(19376,plain,
% 5.39/4.27 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s101) | node26(s101) | (~until27(s101))),
% 5.39/4.27 inference(modus_ponens,[status(thm)],[19375, 19374])).
% 5.39/4.27 tff(19377,plain,
% 5.39/4.27 (xuntil28(s101)),
% 5.39/4.27 inference(unit_resolution,[status(thm)],[19376, 17992, 19370, 17249])).
% 5.39/4.27 tff(19378,plain,
% 5.39/4.27 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s101, s102)) | (~xuntil28(s101)) | until27(s102))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s101, s102)) | (~xuntil28(s101)) | until27(s102))),
% 5.39/4.27 inference(rewrite,[status(thm)],[])).
% 5.39/4.27 tff(19379,plain,
% 5.39/4.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s101, s102)) | (~xuntil28(s101)) | until27(s102))),
% 5.39/4.27 inference(quant_inst,[status(thm)],[])).
% 5.39/4.27 tff(19380,plain,
% 5.39/4.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s101, s102)) | (~xuntil28(s101)) | until27(s102)),
% 5.39/4.27 inference(modus_ponens,[status(thm)],[19379, 19378])).
% 5.39/4.27 tff(19381,plain,
% 5.39/4.27 ((~xuntil28(s101)) | until27(s102)),
% 5.39/4.27 inference(unit_resolution,[status(thm)],[19380, 8440, 18010])).
% 5.39/4.27 tff(19382,plain,
% 5.39/4.27 (until27(s102)),
% 5.39/4.27 inference(unit_resolution,[status(thm)],[19381, 19377])).
% 5.39/4.27 tff(19383,plain,
% 5.39/4.27 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s102) | node26(s102) | (~until27(s102)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s102) | node26(s102) | (~until27(s102)))),
% 5.39/4.27 inference(rewrite,[status(thm)],[])).
% 5.39/4.27 tff(19384,plain,
% 5.39/4.27 ((node26(s102) | (~until27(s102)) | xuntil28(s102)) <=> (xuntil28(s102) | node26(s102) | (~until27(s102)))),
% 5.39/4.27 inference(rewrite,[status(thm)],[])).
% 5.39/4.27 tff(19385,plain,
% 5.39/4.27 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s102) | (~until27(s102)) | xuntil28(s102))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s102) | node26(s102) | (~until27(s102))))),
% 5.39/4.27 inference(monotonicity,[status(thm)],[19384])).
% 5.39/4.27 tff(19386,plain,
% 5.39/4.27 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s102) | (~until27(s102)) | xuntil28(s102))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s102) | node26(s102) | (~until27(s102)))),
% 5.39/4.27 inference(transitivity,[status(thm)],[19385, 19383])).
% 5.39/4.27 tff(19387,plain,
% 5.39/4.27 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s102) | (~until27(s102)) | xuntil28(s102))),
% 5.39/4.27 inference(quant_inst,[status(thm)],[])).
% 5.39/4.27 tff(19388,plain,
% 5.39/4.27 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s102) | node26(s102) | (~until27(s102))),
% 5.39/4.27 inference(modus_ponens,[status(thm)],[19387, 19386])).
% 5.39/4.27 tff(19389,plain,
% 5.39/4.27 (xuntil28(s102) | node26(s102)),
% 5.39/4.27 inference(unit_resolution,[status(thm)],[19388, 17992, 19382])).
% 5.39/4.27 tff(19390,plain,
% 5.39/4.27 (xuntil28(s102)),
% 5.39/4.27 inference(unit_resolution,[status(thm)],[19389, 17245])).
% 5.39/4.27 tff(19391,plain,
% 5.39/4.27 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s102, s103)) | (~xuntil28(s102)) | until27(s103))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s102, s103)) | (~xuntil28(s102)) | until27(s103))),
% 5.39/4.27 inference(rewrite,[status(thm)],[])).
% 5.39/4.27 tff(19392,plain,
% 5.39/4.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s102, s103)) | (~xuntil28(s102)) | until27(s103))),
% 5.39/4.27 inference(quant_inst,[status(thm)],[])).
% 5.39/4.27 tff(19393,plain,
% 5.39/4.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s102, s103)) | (~xuntil28(s102)) | until27(s103)),
% 5.39/4.27 inference(modus_ponens,[status(thm)],[19392, 19391])).
% 5.39/4.27 tff(19394,plain,
% 5.39/4.27 ((~xuntil28(s102)) | until27(s103)),
% 5.39/4.27 inference(unit_resolution,[status(thm)],[19393, 8504, 18010])).
% 5.39/4.27 tff(19395,plain,
% 5.39/4.27 (until27(s103)),
% 5.39/4.27 inference(unit_resolution,[status(thm)],[19394, 19390])).
% 5.39/4.27 tff(19396,plain,
% 5.39/4.27 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s103) | node26(s103) | (~until27(s103)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s103) | node26(s103) | (~until27(s103)))),
% 5.39/4.27 inference(rewrite,[status(thm)],[])).
% 5.39/4.27 tff(19397,plain,
% 5.39/4.27 ((node26(s103) | (~until27(s103)) | xuntil28(s103)) <=> (xuntil28(s103) | node26(s103) | (~until27(s103)))),
% 5.39/4.27 inference(rewrite,[status(thm)],[])).
% 5.39/4.27 tff(19398,plain,
% 5.39/4.27 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s103) | (~until27(s103)) | xuntil28(s103))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s103) | node26(s103) | (~until27(s103))))),
% 5.39/4.27 inference(monotonicity,[status(thm)],[19397])).
% 5.39/4.27 tff(19399,plain,
% 5.39/4.27 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s103) | (~until27(s103)) | xuntil28(s103))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s103) | node26(s103) | (~until27(s103)))),
% 5.39/4.27 inference(transitivity,[status(thm)],[19398, 19396])).
% 5.39/4.27 tff(19400,plain,
% 5.39/4.27 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s103) | (~until27(s103)) | xuntil28(s103))),
% 5.39/4.27 inference(quant_inst,[status(thm)],[])).
% 5.39/4.27 tff(19401,plain,
% 5.39/4.27 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s103) | node26(s103) | (~until27(s103))),
% 5.39/4.27 inference(modus_ponens,[status(thm)],[19400, 19399])).
% 5.39/4.27 tff(19402,plain,
% 5.39/4.27 (xuntil28(s103)),
% 5.39/4.27 inference(unit_resolution,[status(thm)],[19401, 17992, 19395, 17236])).
% 5.39/4.27 tff(19403,plain,
% 5.39/4.27 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s103, s104)) | (~xuntil28(s103)) | until27(s104))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s103, s104)) | (~xuntil28(s103)) | until27(s104))),
% 5.39/4.27 inference(rewrite,[status(thm)],[])).
% 5.39/4.27 tff(19404,plain,
% 5.39/4.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s103, s104)) | (~xuntil28(s103)) | until27(s104))),
% 5.39/4.27 inference(quant_inst,[status(thm)],[])).
% 5.39/4.27 tff(19405,plain,
% 5.39/4.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s103, s104)) | (~xuntil28(s103)) | until27(s104)),
% 5.39/4.27 inference(modus_ponens,[status(thm)],[19404, 19403])).
% 5.39/4.27 tff(19406,plain,
% 5.39/4.27 ((~xuntil28(s103)) | until27(s104)),
% 5.39/4.27 inference(unit_resolution,[status(thm)],[19405, 8579, 18010])).
% 5.39/4.27 tff(19407,plain,
% 5.39/4.27 (until27(s104)),
% 5.39/4.27 inference(unit_resolution,[status(thm)],[19406, 19402])).
% 5.39/4.27 tff(19408,plain,
% 5.39/4.27 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s104) | (~node26(s104)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s104) | (~node26(s104)))),
% 5.39/4.27 inference(rewrite,[status(thm)],[])).
% 5.39/4.27 tff(19409,plain,
% 5.39/4.27 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s104) | (~node26(s104)))),
% 5.39/4.27 inference(quant_inst,[status(thm)],[])).
% 5.39/4.27 tff(19410,plain,
% 5.39/4.27 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s104) | (~node26(s104))),
% 5.39/4.27 inference(modus_ponens,[status(thm)],[19409, 19408])).
% 5.39/4.27 tff(19411,plain,
% 5.39/4.27 (~node26(s104)),
% 5.39/4.27 inference(unit_resolution,[status(thm)],[19410, 16500, 17227])).
% 5.39/4.27 tff(19412,plain,
% 5.39/4.27 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s104) | node26(s104) | (~until27(s104)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s104) | node26(s104) | (~until27(s104)))),
% 5.39/4.27 inference(rewrite,[status(thm)],[])).
% 5.39/4.27 tff(19413,plain,
% 5.39/4.27 ((node26(s104) | (~until27(s104)) | xuntil28(s104)) <=> (xuntil28(s104) | node26(s104) | (~until27(s104)))),
% 5.39/4.27 inference(rewrite,[status(thm)],[])).
% 5.39/4.27 tff(19414,plain,
% 5.39/4.27 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s104) | (~until27(s104)) | xuntil28(s104))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s104) | node26(s104) | (~until27(s104))))),
% 5.39/4.27 inference(monotonicity,[status(thm)],[19413])).
% 5.39/4.27 tff(19415,plain,
% 5.39/4.27 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s104) | (~until27(s104)) | xuntil28(s104))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s104) | node26(s104) | (~until27(s104)))),
% 5.39/4.27 inference(transitivity,[status(thm)],[19414, 19412])).
% 5.39/4.27 tff(19416,plain,
% 5.39/4.27 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s104) | (~until27(s104)) | xuntil28(s104))),
% 5.39/4.27 inference(quant_inst,[status(thm)],[])).
% 5.39/4.27 tff(19417,plain,
% 5.39/4.27 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s104) | node26(s104) | (~until27(s104))),
% 5.39/4.27 inference(modus_ponens,[status(thm)],[19416, 19415])).
% 5.39/4.27 tff(19418,plain,
% 5.39/4.27 (xuntil28(s104) | (~until27(s104))),
% 5.39/4.27 inference(unit_resolution,[status(thm)],[19417, 17992, 19411])).
% 5.39/4.27 tff(19419,plain,
% 5.39/4.27 (xuntil28(s104)),
% 5.39/4.27 inference(unit_resolution,[status(thm)],[19418, 19407])).
% 5.39/4.27 tff(19420,plain,
% 5.39/4.27 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s104, s105)) | (~xuntil28(s104)) | until27(s105))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s104, s105)) | (~xuntil28(s104)) | until27(s105))),
% 5.39/4.27 inference(rewrite,[status(thm)],[])).
% 5.39/4.27 tff(19421,plain,
% 5.39/4.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s104, s105)) | (~xuntil28(s104)) | until27(s105))),
% 5.39/4.27 inference(quant_inst,[status(thm)],[])).
% 5.39/4.27 tff(19422,plain,
% 5.39/4.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s104, s105)) | (~xuntil28(s104)) | until27(s105)),
% 5.39/4.27 inference(modus_ponens,[status(thm)],[19421, 19420])).
% 5.39/4.27 tff(19423,plain,
% 5.39/4.27 ((~xuntil28(s104)) | until27(s105)),
% 5.39/4.27 inference(unit_resolution,[status(thm)],[19422, 8668, 18010])).
% 5.39/4.27 tff(19424,plain,
% 5.39/4.27 (until27(s105)),
% 5.39/4.27 inference(unit_resolution,[status(thm)],[19423, 19419])).
% 5.39/4.27 tff(19425,plain,
% 5.39/4.27 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s105) | node26(s105) | (~until27(s105)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s105) | node26(s105) | (~until27(s105)))),
% 5.39/4.27 inference(rewrite,[status(thm)],[])).
% 5.39/4.27 tff(19426,plain,
% 5.39/4.27 ((node26(s105) | (~until27(s105)) | xuntil28(s105)) <=> (xuntil28(s105) | node26(s105) | (~until27(s105)))),
% 5.39/4.27 inference(rewrite,[status(thm)],[])).
% 5.39/4.27 tff(19427,plain,
% 5.39/4.27 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s105) | (~until27(s105)) | xuntil28(s105))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s105) | node26(s105) | (~until27(s105))))),
% 5.39/4.27 inference(monotonicity,[status(thm)],[19426])).
% 5.39/4.27 tff(19428,plain,
% 5.39/4.27 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s105) | (~until27(s105)) | xuntil28(s105))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s105) | node26(s105) | (~until27(s105)))),
% 5.39/4.27 inference(transitivity,[status(thm)],[19427, 19425])).
% 5.39/4.27 tff(19429,plain,
% 5.39/4.27 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s105) | (~until27(s105)) | xuntil28(s105))),
% 5.39/4.27 inference(quant_inst,[status(thm)],[])).
% 5.39/4.27 tff(19430,plain,
% 5.39/4.27 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s105) | node26(s105) | (~until27(s105))),
% 5.39/4.27 inference(modus_ponens,[status(thm)],[19429, 19428])).
% 5.39/4.27 tff(19431,plain,
% 5.39/4.27 (xuntil28(s105)),
% 5.39/4.27 inference(unit_resolution,[status(thm)],[19430, 17992, 19424, 17220])).
% 5.39/4.27 tff(19432,plain,
% 5.39/4.27 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s105, s106)) | (~xuntil28(s105)) | until27(s106))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s105, s106)) | (~xuntil28(s105)) | until27(s106))),
% 5.39/4.27 inference(rewrite,[status(thm)],[])).
% 5.39/4.27 tff(19433,plain,
% 5.39/4.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s105, s106)) | (~xuntil28(s105)) | until27(s106))),
% 5.39/4.27 inference(quant_inst,[status(thm)],[])).
% 5.39/4.27 tff(19434,plain,
% 5.39/4.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s105, s106)) | (~xuntil28(s105)) | until27(s106)),
% 5.39/4.27 inference(modus_ponens,[status(thm)],[19433, 19432])).
% 5.39/4.27 tff(19435,plain,
% 5.39/4.27 ((~xuntil28(s105)) | until27(s106)),
% 5.39/4.27 inference(unit_resolution,[status(thm)],[19434, 8735, 18010])).
% 5.39/4.27 tff(19436,plain,
% 5.39/4.27 (until27(s106)),
% 5.39/4.27 inference(unit_resolution,[status(thm)],[19435, 19431])).
% 5.39/4.27 tff(19437,plain,
% 5.39/4.27 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s106) | node26(s106) | (~until27(s106)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s106) | node26(s106) | (~until27(s106)))),
% 5.39/4.27 inference(rewrite,[status(thm)],[])).
% 5.39/4.27 tff(19438,plain,
% 5.39/4.27 ((node26(s106) | (~until27(s106)) | xuntil28(s106)) <=> (xuntil28(s106) | node26(s106) | (~until27(s106)))),
% 5.39/4.27 inference(rewrite,[status(thm)],[])).
% 5.39/4.27 tff(19439,plain,
% 5.39/4.27 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s106) | (~until27(s106)) | xuntil28(s106))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s106) | node26(s106) | (~until27(s106))))),
% 5.39/4.27 inference(monotonicity,[status(thm)],[19438])).
% 5.39/4.27 tff(19440,plain,
% 5.39/4.27 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s106) | (~until27(s106)) | xuntil28(s106))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s106) | node26(s106) | (~until27(s106)))),
% 5.39/4.27 inference(transitivity,[status(thm)],[19439, 19437])).
% 5.39/4.27 tff(19441,plain,
% 5.39/4.27 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s106) | (~until27(s106)) | xuntil28(s106))),
% 5.39/4.27 inference(quant_inst,[status(thm)],[])).
% 5.39/4.27 tff(19442,plain,
% 5.44/4.28 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s106) | node26(s106) | (~until27(s106))),
% 5.44/4.28 inference(modus_ponens,[status(thm)],[19441, 19440])).
% 5.44/4.28 tff(19443,plain,
% 5.44/4.28 (xuntil28(s106) | node26(s106)),
% 5.44/4.28 inference(unit_resolution,[status(thm)],[19442, 17992, 19436])).
% 5.44/4.28 tff(19444,plain,
% 5.44/4.28 (xuntil28(s106)),
% 5.44/4.28 inference(unit_resolution,[status(thm)],[19443, 17216])).
% 5.44/4.28 tff(19445,plain,
% 5.44/4.28 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s106, s107)) | (~xuntil28(s106)) | until27(s107))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s106, s107)) | (~xuntil28(s106)) | until27(s107))),
% 5.44/4.28 inference(rewrite,[status(thm)],[])).
% 5.44/4.28 tff(19446,plain,
% 5.44/4.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s106, s107)) | (~xuntil28(s106)) | until27(s107))),
% 5.44/4.28 inference(quant_inst,[status(thm)],[])).
% 5.44/4.28 tff(19447,plain,
% 5.44/4.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s106, s107)) | (~xuntil28(s106)) | until27(s107)),
% 5.44/4.28 inference(modus_ponens,[status(thm)],[19446, 19445])).
% 5.44/4.28 tff(19448,plain,
% 5.44/4.28 ((~xuntil28(s106)) | until27(s107)),
% 5.44/4.28 inference(unit_resolution,[status(thm)],[19447, 8834, 18010])).
% 5.44/4.28 tff(19449,plain,
% 5.44/4.28 (until27(s107)),
% 5.44/4.28 inference(unit_resolution,[status(thm)],[19448, 19444])).
% 5.44/4.28 tff(19450,plain,
% 5.44/4.28 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s107) | node26(s107) | (~until27(s107)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s107) | node26(s107) | (~until27(s107)))),
% 5.44/4.28 inference(rewrite,[status(thm)],[])).
% 5.44/4.28 tff(19451,plain,
% 5.44/4.28 ((node26(s107) | (~until27(s107)) | xuntil28(s107)) <=> (xuntil28(s107) | node26(s107) | (~until27(s107)))),
% 5.44/4.28 inference(rewrite,[status(thm)],[])).
% 5.44/4.28 tff(19452,plain,
% 5.44/4.28 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s107) | (~until27(s107)) | xuntil28(s107))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s107) | node26(s107) | (~until27(s107))))),
% 5.44/4.28 inference(monotonicity,[status(thm)],[19451])).
% 5.44/4.28 tff(19453,plain,
% 5.44/4.28 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s107) | (~until27(s107)) | xuntil28(s107))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s107) | node26(s107) | (~until27(s107)))),
% 5.44/4.28 inference(transitivity,[status(thm)],[19452, 19450])).
% 5.44/4.28 tff(19454,plain,
% 5.44/4.28 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s107) | (~until27(s107)) | xuntil28(s107))),
% 5.44/4.28 inference(quant_inst,[status(thm)],[])).
% 5.44/4.28 tff(19455,plain,
% 5.44/4.28 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s107) | node26(s107) | (~until27(s107))),
% 5.44/4.28 inference(modus_ponens,[status(thm)],[19454, 19453])).
% 5.44/4.28 tff(19456,plain,
% 5.44/4.28 (xuntil28(s107)),
% 5.44/4.28 inference(unit_resolution,[status(thm)],[19455, 17992, 19449, 17207])).
% 5.44/4.28 tff(19457,plain,
% 5.44/4.28 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s107, s108)) | (~xuntil28(s107)) | until27(s108))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s107, s108)) | (~xuntil28(s107)) | until27(s108))),
% 5.44/4.28 inference(rewrite,[status(thm)],[])).
% 5.44/4.28 tff(19458,plain,
% 5.44/4.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s107, s108)) | (~xuntil28(s107)) | until27(s108))),
% 5.44/4.28 inference(quant_inst,[status(thm)],[])).
% 5.44/4.28 tff(19459,plain,
% 5.44/4.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s107, s108)) | (~xuntil28(s107)) | until27(s108)),
% 5.44/4.28 inference(modus_ponens,[status(thm)],[19458, 19457])).
% 5.44/4.28 tff(19460,plain,
% 5.44/4.28 ((~xuntil28(s107)) | until27(s108)),
% 5.44/4.28 inference(unit_resolution,[status(thm)],[19459, 8912, 18010])).
% 5.44/4.28 tff(19461,plain,
% 5.44/4.28 (until27(s108)),
% 5.44/4.28 inference(unit_resolution,[status(thm)],[19460, 19456])).
% 5.44/4.28 tff(19462,plain,
% 5.44/4.28 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s108) | (~node26(s108)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s108) | (~node26(s108)))),
% 5.44/4.28 inference(rewrite,[status(thm)],[])).
% 5.44/4.28 tff(19463,plain,
% 5.44/4.28 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s108) | (~node26(s108)))),
% 5.44/4.28 inference(quant_inst,[status(thm)],[])).
% 5.44/4.28 tff(19464,plain,
% 5.44/4.28 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s108) | (~node26(s108))),
% 5.44/4.28 inference(modus_ponens,[status(thm)],[19463, 19462])).
% 5.44/4.28 tff(19465,plain,
% 5.44/4.28 (~node26(s108)),
% 5.44/4.28 inference(unit_resolution,[status(thm)],[19464, 16500, 17198])).
% 5.44/4.28 tff(19466,plain,
% 5.44/4.28 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s108) | node26(s108) | (~until27(s108)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s108) | node26(s108) | (~until27(s108)))),
% 5.44/4.28 inference(rewrite,[status(thm)],[])).
% 5.44/4.28 tff(19467,plain,
% 5.44/4.28 ((node26(s108) | (~until27(s108)) | xuntil28(s108)) <=> (xuntil28(s108) | node26(s108) | (~until27(s108)))),
% 5.44/4.28 inference(rewrite,[status(thm)],[])).
% 5.44/4.28 tff(19468,plain,
% 5.44/4.28 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s108) | (~until27(s108)) | xuntil28(s108))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s108) | node26(s108) | (~until27(s108))))),
% 5.44/4.28 inference(monotonicity,[status(thm)],[19467])).
% 5.44/4.28 tff(19469,plain,
% 5.44/4.28 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s108) | (~until27(s108)) | xuntil28(s108))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s108) | node26(s108) | (~until27(s108)))),
% 5.44/4.28 inference(transitivity,[status(thm)],[19468, 19466])).
% 5.44/4.28 tff(19470,plain,
% 5.44/4.28 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s108) | (~until27(s108)) | xuntil28(s108))),
% 5.44/4.28 inference(quant_inst,[status(thm)],[])).
% 5.44/4.28 tff(19471,plain,
% 5.44/4.28 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s108) | node26(s108) | (~until27(s108))),
% 5.44/4.28 inference(modus_ponens,[status(thm)],[19470, 19469])).
% 5.44/4.28 tff(19472,plain,
% 5.44/4.28 (xuntil28(s108) | (~until27(s108))),
% 5.44/4.28 inference(unit_resolution,[status(thm)],[19471, 17992, 19465])).
% 5.44/4.28 tff(19473,plain,
% 5.44/4.28 (xuntil28(s108)),
% 5.44/4.28 inference(unit_resolution,[status(thm)],[19472, 19461])).
% 5.44/4.28 tff(19474,plain,
% 5.44/4.28 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s108, s109)) | (~xuntil28(s108)) | until27(s109))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s108, s109)) | (~xuntil28(s108)) | until27(s109))),
% 5.44/4.28 inference(rewrite,[status(thm)],[])).
% 5.44/4.28 tff(19475,plain,
% 5.44/4.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s108, s109)) | (~xuntil28(s108)) | until27(s109))),
% 5.44/4.28 inference(quant_inst,[status(thm)],[])).
% 5.44/4.28 tff(19476,plain,
% 5.44/4.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s108, s109)) | (~xuntil28(s108)) | until27(s109)),
% 5.44/4.28 inference(modus_ponens,[status(thm)],[19475, 19474])).
% 5.44/4.28 tff(19477,plain,
% 5.44/4.28 ((~xuntil28(s108)) | until27(s109)),
% 5.44/4.28 inference(unit_resolution,[status(thm)],[19476, 8973, 18010])).
% 5.44/4.28 tff(19478,plain,
% 5.44/4.28 (until27(s109)),
% 5.44/4.28 inference(unit_resolution,[status(thm)],[19477, 19473])).
% 5.44/4.28 tff(19479,plain,
% 5.44/4.28 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s109) | node26(s109) | (~until27(s109)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s109) | node26(s109) | (~until27(s109)))),
% 5.44/4.28 inference(rewrite,[status(thm)],[])).
% 5.44/4.28 tff(19480,plain,
% 5.44/4.28 ((node26(s109) | (~until27(s109)) | xuntil28(s109)) <=> (xuntil28(s109) | node26(s109) | (~until27(s109)))),
% 5.44/4.28 inference(rewrite,[status(thm)],[])).
% 5.44/4.28 tff(19481,plain,
% 5.44/4.28 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s109) | (~until27(s109)) | xuntil28(s109))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s109) | node26(s109) | (~until27(s109))))),
% 5.44/4.28 inference(monotonicity,[status(thm)],[19480])).
% 5.44/4.28 tff(19482,plain,
% 5.44/4.28 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s109) | (~until27(s109)) | xuntil28(s109))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s109) | node26(s109) | (~until27(s109)))),
% 5.44/4.28 inference(transitivity,[status(thm)],[19481, 19479])).
% 5.44/4.28 tff(19483,plain,
% 5.44/4.28 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s109) | (~until27(s109)) | xuntil28(s109))),
% 5.44/4.28 inference(quant_inst,[status(thm)],[])).
% 5.44/4.28 tff(19484,plain,
% 5.44/4.28 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s109) | node26(s109) | (~until27(s109))),
% 5.44/4.28 inference(modus_ponens,[status(thm)],[19483, 19482])).
% 5.44/4.28 tff(19485,plain,
% 5.44/4.28 (xuntil28(s109)),
% 5.44/4.28 inference(unit_resolution,[status(thm)],[19484, 17992, 19478, 17191])).
% 5.44/4.28 tff(19486,plain,
% 5.44/4.28 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s109, s110)) | (~xuntil28(s109)) | until27(s110))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s109, s110)) | (~xuntil28(s109)) | until27(s110))),
% 5.44/4.28 inference(rewrite,[status(thm)],[])).
% 5.44/4.28 tff(19487,plain,
% 5.44/4.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s109, s110)) | (~xuntil28(s109)) | until27(s110))),
% 5.44/4.28 inference(quant_inst,[status(thm)],[])).
% 5.44/4.28 tff(19488,plain,
% 5.44/4.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s109, s110)) | (~xuntil28(s109)) | until27(s110)),
% 5.44/4.28 inference(modus_ponens,[status(thm)],[19487, 19486])).
% 5.44/4.28 tff(19489,plain,
% 5.44/4.28 ((~xuntil28(s109)) | until27(s110)),
% 5.44/4.28 inference(unit_resolution,[status(thm)],[19488, 9068, 18010])).
% 5.44/4.28 tff(19490,plain,
% 5.44/4.28 (until27(s110)),
% 5.44/4.28 inference(unit_resolution,[status(thm)],[19489, 19485])).
% 5.44/4.28 tff(19491,plain,
% 5.44/4.28 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s110) | node26(s110) | (~until27(s110)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s110) | node26(s110) | (~until27(s110)))),
% 5.44/4.28 inference(rewrite,[status(thm)],[])).
% 5.44/4.28 tff(19492,plain,
% 5.44/4.28 ((node26(s110) | (~until27(s110)) | xuntil28(s110)) <=> (xuntil28(s110) | node26(s110) | (~until27(s110)))),
% 5.44/4.28 inference(rewrite,[status(thm)],[])).
% 5.44/4.28 tff(19493,plain,
% 5.44/4.28 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s110) | (~until27(s110)) | xuntil28(s110))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s110) | node26(s110) | (~until27(s110))))),
% 5.44/4.28 inference(monotonicity,[status(thm)],[19492])).
% 5.44/4.28 tff(19494,plain,
% 5.44/4.28 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s110) | (~until27(s110)) | xuntil28(s110))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s110) | node26(s110) | (~until27(s110)))),
% 5.44/4.28 inference(transitivity,[status(thm)],[19493, 19491])).
% 5.44/4.28 tff(19495,plain,
% 5.44/4.28 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s110) | (~until27(s110)) | xuntil28(s110))),
% 5.44/4.28 inference(quant_inst,[status(thm)],[])).
% 5.44/4.28 tff(19496,plain,
% 5.44/4.28 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s110) | node26(s110) | (~until27(s110))),
% 5.44/4.28 inference(modus_ponens,[status(thm)],[19495, 19494])).
% 5.44/4.28 tff(19497,plain,
% 5.44/4.28 (xuntil28(s110) | node26(s110)),
% 5.44/4.28 inference(unit_resolution,[status(thm)],[19496, 17992, 19490])).
% 5.44/4.28 tff(19498,plain,
% 5.44/4.28 (xuntil28(s110)),
% 5.44/4.28 inference(unit_resolution,[status(thm)],[19497, 17187])).
% 5.44/4.28 tff(19499,plain,
% 5.44/4.28 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s110, s111)) | (~xuntil28(s110)) | until27(s111))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s110, s111)) | (~xuntil28(s110)) | until27(s111))),
% 5.44/4.28 inference(rewrite,[status(thm)],[])).
% 5.44/4.28 tff(19500,plain,
% 5.44/4.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s110, s111)) | (~xuntil28(s110)) | until27(s111))),
% 5.44/4.28 inference(quant_inst,[status(thm)],[])).
% 5.44/4.28 tff(19501,plain,
% 5.44/4.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s110, s111)) | (~xuntil28(s110)) | until27(s111)),
% 5.44/4.28 inference(modus_ponens,[status(thm)],[19500, 19499])).
% 5.44/4.28 tff(19502,plain,
% 5.44/4.28 ((~xuntil28(s110)) | until27(s111)),
% 5.44/4.28 inference(unit_resolution,[status(thm)],[19501, 9132, 18010])).
% 5.44/4.28 tff(19503,plain,
% 5.44/4.28 (until27(s111)),
% 5.44/4.28 inference(unit_resolution,[status(thm)],[19502, 19498])).
% 5.44/4.28 tff(19504,plain,
% 5.44/4.28 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s111) | node26(s111) | (~until27(s111)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s111) | node26(s111) | (~until27(s111)))),
% 5.44/4.28 inference(rewrite,[status(thm)],[])).
% 5.44/4.28 tff(19505,plain,
% 5.44/4.28 ((node26(s111) | (~until27(s111)) | xuntil28(s111)) <=> (xuntil28(s111) | node26(s111) | (~until27(s111)))),
% 5.44/4.28 inference(rewrite,[status(thm)],[])).
% 5.44/4.28 tff(19506,plain,
% 5.44/4.28 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s111) | (~until27(s111)) | xuntil28(s111))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s111) | node26(s111) | (~until27(s111))))),
% 5.44/4.28 inference(monotonicity,[status(thm)],[19505])).
% 5.44/4.28 tff(19507,plain,
% 5.44/4.28 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s111) | (~until27(s111)) | xuntil28(s111))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s111) | node26(s111) | (~until27(s111)))),
% 5.44/4.28 inference(transitivity,[status(thm)],[19506, 19504])).
% 5.44/4.28 tff(19508,plain,
% 5.44/4.28 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s111) | (~until27(s111)) | xuntil28(s111))),
% 5.44/4.28 inference(quant_inst,[status(thm)],[])).
% 5.44/4.28 tff(19509,plain,
% 5.44/4.28 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s111) | node26(s111) | (~until27(s111))),
% 5.44/4.28 inference(modus_ponens,[status(thm)],[19508, 19507])).
% 5.44/4.28 tff(19510,plain,
% 5.44/4.28 (xuntil28(s111)),
% 5.44/4.28 inference(unit_resolution,[status(thm)],[19509, 17992, 19503, 17178])).
% 5.44/4.28 tff(19511,plain,
% 5.44/4.28 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s111, s112)) | (~xuntil28(s111)) | until27(s112))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s111, s112)) | (~xuntil28(s111)) | until27(s112))),
% 5.44/4.28 inference(rewrite,[status(thm)],[])).
% 5.44/4.28 tff(19512,plain,
% 5.44/4.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s111, s112)) | (~xuntil28(s111)) | until27(s112))),
% 5.44/4.28 inference(quant_inst,[status(thm)],[])).
% 5.44/4.28 tff(19513,plain,
% 5.44/4.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s111, s112)) | (~xuntil28(s111)) | until27(s112)),
% 5.44/4.28 inference(modus_ponens,[status(thm)],[19512, 19511])).
% 5.44/4.28 tff(19514,plain,
% 5.44/4.28 ((~xuntil28(s111)) | until27(s112)),
% 5.44/4.28 inference(unit_resolution,[status(thm)],[19513, 9207, 18010])).
% 5.44/4.28 tff(19515,plain,
% 5.44/4.28 (until27(s112)),
% 5.44/4.28 inference(unit_resolution,[status(thm)],[19514, 19510])).
% 5.44/4.28 tff(19516,plain,
% 5.44/4.28 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s112) | (~node26(s112)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s112) | (~node26(s112)))),
% 5.44/4.28 inference(rewrite,[status(thm)],[])).
% 5.44/4.28 tff(19517,plain,
% 5.44/4.28 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s112) | (~node26(s112)))),
% 5.44/4.28 inference(quant_inst,[status(thm)],[])).
% 5.44/4.28 tff(19518,plain,
% 5.44/4.28 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s112) | (~node26(s112))),
% 5.44/4.28 inference(modus_ponens,[status(thm)],[19517, 19516])).
% 5.44/4.28 tff(19519,plain,
% 5.44/4.28 (~node26(s112)),
% 5.44/4.28 inference(unit_resolution,[status(thm)],[19518, 16500, 17169])).
% 5.44/4.28 tff(19520,plain,
% 5.44/4.28 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s112) | node26(s112) | (~until27(s112)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s112) | node26(s112) | (~until27(s112)))),
% 5.44/4.28 inference(rewrite,[status(thm)],[])).
% 5.44/4.28 tff(19521,plain,
% 5.44/4.28 ((node26(s112) | (~until27(s112)) | xuntil28(s112)) <=> (xuntil28(s112) | node26(s112) | (~until27(s112)))),
% 5.44/4.28 inference(rewrite,[status(thm)],[])).
% 5.44/4.28 tff(19522,plain,
% 5.44/4.28 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s112) | (~until27(s112)) | xuntil28(s112))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s112) | node26(s112) | (~until27(s112))))),
% 5.44/4.28 inference(monotonicity,[status(thm)],[19521])).
% 5.44/4.28 tff(19523,plain,
% 5.44/4.28 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s112) | (~until27(s112)) | xuntil28(s112))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s112) | node26(s112) | (~until27(s112)))),
% 5.44/4.28 inference(transitivity,[status(thm)],[19522, 19520])).
% 5.44/4.28 tff(19524,plain,
% 5.44/4.28 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s112) | (~until27(s112)) | xuntil28(s112))),
% 5.44/4.28 inference(quant_inst,[status(thm)],[])).
% 5.44/4.28 tff(19525,plain,
% 5.44/4.28 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s112) | node26(s112) | (~until27(s112))),
% 5.44/4.28 inference(modus_ponens,[status(thm)],[19524, 19523])).
% 5.44/4.28 tff(19526,plain,
% 5.44/4.28 (xuntil28(s112) | (~until27(s112))),
% 5.44/4.28 inference(unit_resolution,[status(thm)],[19525, 17992, 19519])).
% 5.44/4.28 tff(19527,plain,
% 5.44/4.28 (xuntil28(s112)),
% 5.44/4.28 inference(unit_resolution,[status(thm)],[19526, 19515])).
% 5.44/4.28 tff(19528,plain,
% 5.44/4.28 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s112, s113)) | (~xuntil28(s112)) | until27(s113))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s112, s113)) | (~xuntil28(s112)) | until27(s113))),
% 5.44/4.28 inference(rewrite,[status(thm)],[])).
% 5.44/4.28 tff(19529,plain,
% 5.44/4.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s112, s113)) | (~xuntil28(s112)) | until27(s113))),
% 5.44/4.28 inference(quant_inst,[status(thm)],[])).
% 5.44/4.28 tff(19530,plain,
% 5.44/4.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s112, s113)) | (~xuntil28(s112)) | until27(s113)),
% 5.44/4.28 inference(modus_ponens,[status(thm)],[19529, 19528])).
% 5.44/4.28 tff(19531,plain,
% 5.44/4.28 ((~xuntil28(s112)) | until27(s113)),
% 5.44/4.28 inference(unit_resolution,[status(thm)],[19530, 9296, 18010])).
% 5.44/4.28 tff(19532,plain,
% 5.44/4.28 (until27(s113)),
% 5.44/4.28 inference(unit_resolution,[status(thm)],[19531, 19527])).
% 5.44/4.28 tff(19533,plain,
% 5.44/4.28 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s113) | node26(s113) | (~until27(s113)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s113) | node26(s113) | (~until27(s113)))),
% 5.44/4.28 inference(rewrite,[status(thm)],[])).
% 5.44/4.28 tff(19534,plain,
% 5.44/4.28 ((node26(s113) | (~until27(s113)) | xuntil28(s113)) <=> (xuntil28(s113) | node26(s113) | (~until27(s113)))),
% 5.44/4.28 inference(rewrite,[status(thm)],[])).
% 5.44/4.28 tff(19535,plain,
% 5.44/4.28 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s113) | (~until27(s113)) | xuntil28(s113))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s113) | node26(s113) | (~until27(s113))))),
% 5.44/4.28 inference(monotonicity,[status(thm)],[19534])).
% 5.44/4.28 tff(19536,plain,
% 5.44/4.28 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s113) | (~until27(s113)) | xuntil28(s113))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s113) | node26(s113) | (~until27(s113)))),
% 5.44/4.28 inference(transitivity,[status(thm)],[19535, 19533])).
% 5.44/4.28 tff(19537,plain,
% 5.44/4.28 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s113) | (~until27(s113)) | xuntil28(s113))),
% 5.44/4.28 inference(quant_inst,[status(thm)],[])).
% 5.44/4.28 tff(19538,plain,
% 5.44/4.28 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s113) | node26(s113) | (~until27(s113))),
% 5.44/4.28 inference(modus_ponens,[status(thm)],[19537, 19536])).
% 5.44/4.28 tff(19539,plain,
% 5.44/4.28 (xuntil28(s113)),
% 5.44/4.28 inference(unit_resolution,[status(thm)],[19538, 17992, 19532, 17162])).
% 5.44/4.28 tff(19540,plain,
% 5.44/4.28 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s113, s114)) | (~xuntil28(s113)) | until27(s114))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s113, s114)) | (~xuntil28(s113)) | until27(s114))),
% 5.44/4.28 inference(rewrite,[status(thm)],[])).
% 5.44/4.28 tff(19541,plain,
% 5.44/4.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s113, s114)) | (~xuntil28(s113)) | until27(s114))),
% 5.44/4.28 inference(quant_inst,[status(thm)],[])).
% 5.44/4.28 tff(19542,plain,
% 5.44/4.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s113, s114)) | (~xuntil28(s113)) | until27(s114)),
% 5.44/4.28 inference(modus_ponens,[status(thm)],[19541, 19540])).
% 5.44/4.28 tff(19543,plain,
% 5.44/4.28 ((~xuntil28(s113)) | until27(s114)),
% 5.44/4.28 inference(unit_resolution,[status(thm)],[19542, 9363, 18010])).
% 5.44/4.28 tff(19544,plain,
% 5.44/4.28 (until27(s114)),
% 5.44/4.28 inference(unit_resolution,[status(thm)],[19543, 19539])).
% 5.44/4.28 tff(19545,plain,
% 5.44/4.28 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s114) | node26(s114) | (~until27(s114)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s114) | node26(s114) | (~until27(s114)))),
% 5.44/4.28 inference(rewrite,[status(thm)],[])).
% 5.44/4.28 tff(19546,plain,
% 5.44/4.28 ((node26(s114) | (~until27(s114)) | xuntil28(s114)) <=> (xuntil28(s114) | node26(s114) | (~until27(s114)))),
% 5.44/4.28 inference(rewrite,[status(thm)],[])).
% 5.44/4.28 tff(19547,plain,
% 5.44/4.28 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s114) | (~until27(s114)) | xuntil28(s114))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s114) | node26(s114) | (~until27(s114))))),
% 5.44/4.28 inference(monotonicity,[status(thm)],[19546])).
% 5.44/4.28 tff(19548,plain,
% 5.44/4.28 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s114) | (~until27(s114)) | xuntil28(s114))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s114) | node26(s114) | (~until27(s114)))),
% 5.44/4.28 inference(transitivity,[status(thm)],[19547, 19545])).
% 5.44/4.28 tff(19549,plain,
% 5.44/4.28 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s114) | (~until27(s114)) | xuntil28(s114))),
% 5.44/4.28 inference(quant_inst,[status(thm)],[])).
% 5.44/4.28 tff(19550,plain,
% 5.44/4.28 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s114) | node26(s114) | (~until27(s114))),
% 5.44/4.28 inference(modus_ponens,[status(thm)],[19549, 19548])).
% 5.44/4.28 tff(19551,plain,
% 5.44/4.28 (xuntil28(s114) | node26(s114)),
% 5.44/4.28 inference(unit_resolution,[status(thm)],[19550, 17992, 19544])).
% 5.44/4.28 tff(19552,plain,
% 5.44/4.28 (xuntil28(s114)),
% 5.44/4.28 inference(unit_resolution,[status(thm)],[19551, 17158])).
% 5.44/4.28 tff(19553,plain,
% 5.44/4.28 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s114, s115)) | (~xuntil28(s114)) | until27(s115))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s114, s115)) | (~xuntil28(s114)) | until27(s115))),
% 5.44/4.28 inference(rewrite,[status(thm)],[])).
% 5.44/4.28 tff(19554,plain,
% 5.44/4.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s114, s115)) | (~xuntil28(s114)) | until27(s115))),
% 5.44/4.28 inference(quant_inst,[status(thm)],[])).
% 5.44/4.28 tff(19555,plain,
% 5.44/4.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s114, s115)) | (~xuntil28(s114)) | until27(s115)),
% 5.44/4.28 inference(modus_ponens,[status(thm)],[19554, 19553])).
% 5.44/4.28 tff(19556,plain,
% 5.44/4.28 ((~xuntil28(s114)) | until27(s115)),
% 5.44/4.28 inference(unit_resolution,[status(thm)],[19555, 9462, 18010])).
% 5.44/4.28 tff(19557,plain,
% 5.44/4.28 (until27(s115)),
% 5.44/4.28 inference(unit_resolution,[status(thm)],[19556, 19552])).
% 5.44/4.28 tff(19558,plain,
% 5.44/4.28 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s115) | node26(s115) | (~until27(s115)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s115) | node26(s115) | (~until27(s115)))),
% 5.44/4.28 inference(rewrite,[status(thm)],[])).
% 5.44/4.28 tff(19559,plain,
% 5.44/4.28 ((node26(s115) | (~until27(s115)) | xuntil28(s115)) <=> (xuntil28(s115) | node26(s115) | (~until27(s115)))),
% 5.44/4.28 inference(rewrite,[status(thm)],[])).
% 5.44/4.28 tff(19560,plain,
% 5.44/4.28 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s115) | (~until27(s115)) | xuntil28(s115))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s115) | node26(s115) | (~until27(s115))))),
% 5.44/4.28 inference(monotonicity,[status(thm)],[19559])).
% 5.44/4.28 tff(19561,plain,
% 5.44/4.28 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s115) | (~until27(s115)) | xuntil28(s115))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s115) | node26(s115) | (~until27(s115)))),
% 5.44/4.28 inference(transitivity,[status(thm)],[19560, 19558])).
% 5.44/4.28 tff(19562,plain,
% 5.44/4.28 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s115) | (~until27(s115)) | xuntil28(s115))),
% 5.44/4.28 inference(quant_inst,[status(thm)],[])).
% 5.44/4.28 tff(19563,plain,
% 5.44/4.28 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s115) | node26(s115) | (~until27(s115))),
% 5.44/4.28 inference(modus_ponens,[status(thm)],[19562, 19561])).
% 5.44/4.28 tff(19564,plain,
% 5.44/4.28 (xuntil28(s115)),
% 5.44/4.28 inference(unit_resolution,[status(thm)],[19563, 17992, 19557, 17149])).
% 5.44/4.28 tff(19565,plain,
% 5.44/4.28 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s115, s116)) | (~xuntil28(s115)) | until27(s116))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s115, s116)) | (~xuntil28(s115)) | until27(s116))),
% 5.44/4.28 inference(rewrite,[status(thm)],[])).
% 5.44/4.28 tff(19566,plain,
% 5.44/4.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s115, s116)) | (~xuntil28(s115)) | until27(s116))),
% 5.44/4.28 inference(quant_inst,[status(thm)],[])).
% 5.44/4.28 tff(19567,plain,
% 5.44/4.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s115, s116)) | (~xuntil28(s115)) | until27(s116)),
% 5.44/4.28 inference(modus_ponens,[status(thm)],[19566, 19565])).
% 5.44/4.28 tff(19568,plain,
% 5.44/4.28 ((~xuntil28(s115)) | until27(s116)),
% 5.44/4.28 inference(unit_resolution,[status(thm)],[19567, 9540, 18010])).
% 5.44/4.28 tff(19569,plain,
% 5.44/4.28 (until27(s116)),
% 5.44/4.28 inference(unit_resolution,[status(thm)],[19568, 19564])).
% 5.44/4.28 tff(19570,plain,
% 5.44/4.28 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s116) | (~node26(s116)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s116) | (~node26(s116)))),
% 5.44/4.28 inference(rewrite,[status(thm)],[])).
% 5.44/4.28 tff(19571,plain,
% 5.44/4.28 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s116) | (~node26(s116)))),
% 5.44/4.28 inference(quant_inst,[status(thm)],[])).
% 5.44/4.28 tff(19572,plain,
% 5.44/4.28 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s116) | (~node26(s116))),
% 5.44/4.28 inference(modus_ponens,[status(thm)],[19571, 19570])).
% 5.44/4.28 tff(19573,plain,
% 5.44/4.28 (~node26(s116)),
% 5.44/4.28 inference(unit_resolution,[status(thm)],[19572, 16500, 17140])).
% 5.44/4.28 tff(19574,plain,
% 5.44/4.28 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s116) | node26(s116) | (~until27(s116)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s116) | node26(s116) | (~until27(s116)))),
% 5.44/4.28 inference(rewrite,[status(thm)],[])).
% 5.44/4.28 tff(19575,plain,
% 5.44/4.28 ((node26(s116) | (~until27(s116)) | xuntil28(s116)) <=> (xuntil28(s116) | node26(s116) | (~until27(s116)))),
% 5.44/4.28 inference(rewrite,[status(thm)],[])).
% 5.44/4.28 tff(19576,plain,
% 5.44/4.28 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s116) | (~until27(s116)) | xuntil28(s116))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s116) | node26(s116) | (~until27(s116))))),
% 5.44/4.28 inference(monotonicity,[status(thm)],[19575])).
% 5.44/4.28 tff(19577,plain,
% 5.44/4.28 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s116) | (~until27(s116)) | xuntil28(s116))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s116) | node26(s116) | (~until27(s116)))),
% 5.44/4.28 inference(transitivity,[status(thm)],[19576, 19574])).
% 5.44/4.28 tff(19578,plain,
% 5.44/4.28 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s116) | (~until27(s116)) | xuntil28(s116))),
% 5.44/4.28 inference(quant_inst,[status(thm)],[])).
% 5.44/4.28 tff(19579,plain,
% 5.44/4.28 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s116) | node26(s116) | (~until27(s116))),
% 5.44/4.28 inference(modus_ponens,[status(thm)],[19578, 19577])).
% 5.44/4.28 tff(19580,plain,
% 5.44/4.28 (xuntil28(s116) | (~until27(s116))),
% 5.44/4.28 inference(unit_resolution,[status(thm)],[19579, 17992, 19573])).
% 5.44/4.28 tff(19581,plain,
% 5.44/4.28 (xuntil28(s116)),
% 5.44/4.28 inference(unit_resolution,[status(thm)],[19580, 19569])).
% 5.44/4.28 tff(19582,plain,
% 5.44/4.28 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s116, s117)) | (~xuntil28(s116)) | until27(s117))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s116, s117)) | (~xuntil28(s116)) | until27(s117))),
% 5.44/4.28 inference(rewrite,[status(thm)],[])).
% 5.44/4.28 tff(19583,plain,
% 5.44/4.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s116, s117)) | (~xuntil28(s116)) | until27(s117))),
% 5.44/4.28 inference(quant_inst,[status(thm)],[])).
% 5.44/4.28 tff(19584,plain,
% 5.44/4.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s116, s117)) | (~xuntil28(s116)) | until27(s117)),
% 5.44/4.28 inference(modus_ponens,[status(thm)],[19583, 19582])).
% 5.44/4.28 tff(19585,plain,
% 5.44/4.28 ((~xuntil28(s116)) | until27(s117)),
% 5.44/4.28 inference(unit_resolution,[status(thm)],[19584, 9601, 18010])).
% 5.44/4.28 tff(19586,plain,
% 5.44/4.28 (until27(s117)),
% 5.44/4.28 inference(unit_resolution,[status(thm)],[19585, 19581])).
% 5.44/4.28 tff(19587,plain,
% 5.44/4.28 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s117) | node26(s117) | (~until27(s117)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s117) | node26(s117) | (~until27(s117)))),
% 5.44/4.28 inference(rewrite,[status(thm)],[])).
% 5.44/4.28 tff(19588,plain,
% 5.44/4.28 ((node26(s117) | (~until27(s117)) | xuntil28(s117)) <=> (xuntil28(s117) | node26(s117) | (~until27(s117)))),
% 5.44/4.28 inference(rewrite,[status(thm)],[])).
% 5.44/4.28 tff(19589,plain,
% 5.44/4.28 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s117) | (~until27(s117)) | xuntil28(s117))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s117) | node26(s117) | (~until27(s117))))),
% 5.44/4.28 inference(monotonicity,[status(thm)],[19588])).
% 5.44/4.28 tff(19590,plain,
% 5.44/4.28 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s117) | (~until27(s117)) | xuntil28(s117))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s117) | node26(s117) | (~until27(s117)))),
% 5.44/4.28 inference(transitivity,[status(thm)],[19589, 19587])).
% 5.44/4.28 tff(19591,plain,
% 5.44/4.28 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s117) | (~until27(s117)) | xuntil28(s117))),
% 5.44/4.28 inference(quant_inst,[status(thm)],[])).
% 5.44/4.28 tff(19592,plain,
% 5.44/4.28 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s117) | node26(s117) | (~until27(s117))),
% 5.44/4.28 inference(modus_ponens,[status(thm)],[19591, 19590])).
% 5.44/4.28 tff(19593,plain,
% 5.44/4.28 (xuntil28(s117)),
% 5.44/4.28 inference(unit_resolution,[status(thm)],[19592, 17992, 19586, 17133])).
% 5.44/4.28 tff(19594,plain,
% 5.44/4.28 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s117, s118)) | (~xuntil28(s117)) | until27(s118))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s117, s118)) | (~xuntil28(s117)) | until27(s118))),
% 5.44/4.28 inference(rewrite,[status(thm)],[])).
% 5.44/4.28 tff(19595,plain,
% 5.44/4.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s117, s118)) | (~xuntil28(s117)) | until27(s118))),
% 5.44/4.28 inference(quant_inst,[status(thm)],[])).
% 5.44/4.28 tff(19596,plain,
% 5.44/4.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s117, s118)) | (~xuntil28(s117)) | until27(s118)),
% 5.44/4.28 inference(modus_ponens,[status(thm)],[19595, 19594])).
% 5.44/4.28 tff(19597,plain,
% 5.44/4.28 ((~xuntil28(s117)) | until27(s118)),
% 5.44/4.28 inference(unit_resolution,[status(thm)],[19596, 9696, 18010])).
% 5.44/4.28 tff(19598,plain,
% 5.44/4.28 (until27(s118)),
% 5.44/4.28 inference(unit_resolution,[status(thm)],[19597, 19593])).
% 5.44/4.28 tff(19599,plain,
% 5.44/4.28 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s118) | node26(s118) | (~until27(s118)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s118) | node26(s118) | (~until27(s118)))),
% 5.44/4.28 inference(rewrite,[status(thm)],[])).
% 5.44/4.28 tff(19600,plain,
% 5.44/4.28 ((node26(s118) | (~until27(s118)) | xuntil28(s118)) <=> (xuntil28(s118) | node26(s118) | (~until27(s118)))),
% 5.44/4.28 inference(rewrite,[status(thm)],[])).
% 5.44/4.28 tff(19601,plain,
% 5.44/4.28 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s118) | (~until27(s118)) | xuntil28(s118))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s118) | node26(s118) | (~until27(s118))))),
% 5.44/4.28 inference(monotonicity,[status(thm)],[19600])).
% 5.44/4.28 tff(19602,plain,
% 5.44/4.28 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s118) | (~until27(s118)) | xuntil28(s118))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s118) | node26(s118) | (~until27(s118)))),
% 5.44/4.28 inference(transitivity,[status(thm)],[19601, 19599])).
% 5.44/4.28 tff(19603,plain,
% 5.44/4.28 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s118) | (~until27(s118)) | xuntil28(s118))),
% 5.44/4.28 inference(quant_inst,[status(thm)],[])).
% 5.44/4.28 tff(19604,plain,
% 5.44/4.28 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s118) | node26(s118) | (~until27(s118))),
% 5.44/4.29 inference(modus_ponens,[status(thm)],[19603, 19602])).
% 5.44/4.29 tff(19605,plain,
% 5.44/4.29 (xuntil28(s118) | node26(s118)),
% 5.44/4.29 inference(unit_resolution,[status(thm)],[19604, 17992, 19598])).
% 5.44/4.29 tff(19606,plain,
% 5.44/4.29 (xuntil28(s118)),
% 5.44/4.29 inference(unit_resolution,[status(thm)],[19605, 17129])).
% 5.44/4.29 tff(19607,plain,
% 5.44/4.29 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s118, s119)) | (~xuntil28(s118)) | until27(s119))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s118, s119)) | (~xuntil28(s118)) | until27(s119))),
% 5.44/4.29 inference(rewrite,[status(thm)],[])).
% 5.44/4.29 tff(19608,plain,
% 5.44/4.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s118, s119)) | (~xuntil28(s118)) | until27(s119))),
% 5.44/4.29 inference(quant_inst,[status(thm)],[])).
% 5.44/4.29 tff(19609,plain,
% 5.44/4.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s118, s119)) | (~xuntil28(s118)) | until27(s119)),
% 5.44/4.29 inference(modus_ponens,[status(thm)],[19608, 19607])).
% 5.44/4.29 tff(19610,plain,
% 5.44/4.29 ((~xuntil28(s118)) | until27(s119)),
% 5.44/4.29 inference(unit_resolution,[status(thm)],[19609, 9760, 18010])).
% 5.44/4.29 tff(19611,plain,
% 5.44/4.29 (until27(s119)),
% 5.44/4.29 inference(unit_resolution,[status(thm)],[19610, 19606])).
% 5.44/4.29 tff(19612,plain,
% 5.44/4.29 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s119) | node26(s119) | (~until27(s119)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s119) | node26(s119) | (~until27(s119)))),
% 5.44/4.29 inference(rewrite,[status(thm)],[])).
% 5.44/4.29 tff(19613,plain,
% 5.44/4.29 ((node26(s119) | (~until27(s119)) | xuntil28(s119)) <=> (xuntil28(s119) | node26(s119) | (~until27(s119)))),
% 5.44/4.29 inference(rewrite,[status(thm)],[])).
% 5.44/4.29 tff(19614,plain,
% 5.44/4.29 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s119) | (~until27(s119)) | xuntil28(s119))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s119) | node26(s119) | (~until27(s119))))),
% 5.44/4.29 inference(monotonicity,[status(thm)],[19613])).
% 5.44/4.29 tff(19615,plain,
% 5.44/4.29 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s119) | (~until27(s119)) | xuntil28(s119))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s119) | node26(s119) | (~until27(s119)))),
% 5.44/4.29 inference(transitivity,[status(thm)],[19614, 19612])).
% 5.44/4.29 tff(19616,plain,
% 5.44/4.29 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s119) | (~until27(s119)) | xuntil28(s119))),
% 5.44/4.29 inference(quant_inst,[status(thm)],[])).
% 5.44/4.29 tff(19617,plain,
% 5.44/4.29 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s119) | node26(s119) | (~until27(s119))),
% 5.44/4.29 inference(modus_ponens,[status(thm)],[19616, 19615])).
% 5.44/4.29 tff(19618,plain,
% 5.44/4.29 (xuntil28(s119)),
% 5.44/4.29 inference(unit_resolution,[status(thm)],[19617, 17992, 19611, 17120])).
% 5.44/4.29 tff(19619,plain,
% 5.44/4.29 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s119, s120)) | (~xuntil28(s119)) | until27(s120))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s119, s120)) | (~xuntil28(s119)) | until27(s120))),
% 5.44/4.29 inference(rewrite,[status(thm)],[])).
% 5.44/4.29 tff(19620,plain,
% 5.44/4.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s119, s120)) | (~xuntil28(s119)) | until27(s120))),
% 5.44/4.29 inference(quant_inst,[status(thm)],[])).
% 5.44/4.29 tff(19621,plain,
% 5.44/4.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s119, s120)) | (~xuntil28(s119)) | until27(s120)),
% 5.44/4.29 inference(modus_ponens,[status(thm)],[19620, 19619])).
% 5.44/4.29 tff(19622,plain,
% 5.44/4.29 ((~xuntil28(s119)) | until27(s120)),
% 5.44/4.29 inference(unit_resolution,[status(thm)],[19621, 9835, 18010])).
% 5.44/4.29 tff(19623,plain,
% 5.44/4.29 (until27(s120)),
% 5.44/4.29 inference(unit_resolution,[status(thm)],[19622, 19618])).
% 5.44/4.29 tff(19624,plain,
% 5.44/4.29 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s120) | (~node26(s120)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s120) | (~node26(s120)))),
% 5.44/4.29 inference(rewrite,[status(thm)],[])).
% 5.44/4.29 tff(19625,plain,
% 5.44/4.29 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s120) | (~node26(s120)))),
% 5.44/4.29 inference(quant_inst,[status(thm)],[])).
% 5.44/4.29 tff(19626,plain,
% 5.44/4.29 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s120) | (~node26(s120))),
% 5.44/4.29 inference(modus_ponens,[status(thm)],[19625, 19624])).
% 5.44/4.29 tff(19627,plain,
% 5.44/4.29 (~node26(s120)),
% 5.44/4.29 inference(unit_resolution,[status(thm)],[19626, 16500, 17111])).
% 5.44/4.29 tff(19628,plain,
% 5.44/4.29 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s120) | node26(s120) | (~until27(s120)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s120) | node26(s120) | (~until27(s120)))),
% 5.44/4.29 inference(rewrite,[status(thm)],[])).
% 5.44/4.29 tff(19629,plain,
% 5.44/4.29 ((node26(s120) | (~until27(s120)) | xuntil28(s120)) <=> (xuntil28(s120) | node26(s120) | (~until27(s120)))),
% 5.44/4.29 inference(rewrite,[status(thm)],[])).
% 5.44/4.29 tff(19630,plain,
% 5.44/4.29 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s120) | (~until27(s120)) | xuntil28(s120))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s120) | node26(s120) | (~until27(s120))))),
% 5.44/4.29 inference(monotonicity,[status(thm)],[19629])).
% 5.44/4.29 tff(19631,plain,
% 5.44/4.29 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s120) | (~until27(s120)) | xuntil28(s120))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s120) | node26(s120) | (~until27(s120)))),
% 5.44/4.29 inference(transitivity,[status(thm)],[19630, 19628])).
% 5.44/4.29 tff(19632,plain,
% 5.44/4.29 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s120) | (~until27(s120)) | xuntil28(s120))),
% 5.44/4.29 inference(quant_inst,[status(thm)],[])).
% 5.44/4.29 tff(19633,plain,
% 5.44/4.29 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s120) | node26(s120) | (~until27(s120))),
% 5.44/4.29 inference(modus_ponens,[status(thm)],[19632, 19631])).
% 5.44/4.29 tff(19634,plain,
% 5.44/4.29 (xuntil28(s120) | (~until27(s120))),
% 5.44/4.29 inference(unit_resolution,[status(thm)],[19633, 17992, 19627])).
% 5.44/4.29 tff(19635,plain,
% 5.44/4.29 (xuntil28(s120)),
% 5.44/4.29 inference(unit_resolution,[status(thm)],[19634, 19623])).
% 5.44/4.29 tff(19636,plain,
% 5.44/4.29 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s120, s121)) | (~xuntil28(s120)) | until27(s121))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s120, s121)) | (~xuntil28(s120)) | until27(s121))),
% 5.44/4.29 inference(rewrite,[status(thm)],[])).
% 5.44/4.29 tff(19637,plain,
% 5.44/4.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s120, s121)) | (~xuntil28(s120)) | until27(s121))),
% 5.44/4.29 inference(quant_inst,[status(thm)],[])).
% 5.44/4.29 tff(19638,plain,
% 5.44/4.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s120, s121)) | (~xuntil28(s120)) | until27(s121)),
% 5.44/4.29 inference(modus_ponens,[status(thm)],[19637, 19636])).
% 5.44/4.29 tff(19639,plain,
% 5.44/4.29 ((~xuntil28(s120)) | until27(s121)),
% 5.44/4.29 inference(unit_resolution,[status(thm)],[19638, 9924, 18010])).
% 5.44/4.29 tff(19640,plain,
% 5.44/4.29 (until27(s121)),
% 5.44/4.29 inference(unit_resolution,[status(thm)],[19639, 19635])).
% 5.44/4.29 tff(19641,plain,
% 5.44/4.29 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s121) | node26(s121) | (~until27(s121)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s121) | node26(s121) | (~until27(s121)))),
% 5.44/4.29 inference(rewrite,[status(thm)],[])).
% 5.44/4.29 tff(19642,plain,
% 5.44/4.29 ((node26(s121) | (~until27(s121)) | xuntil28(s121)) <=> (xuntil28(s121) | node26(s121) | (~until27(s121)))),
% 5.44/4.29 inference(rewrite,[status(thm)],[])).
% 5.44/4.29 tff(19643,plain,
% 5.44/4.29 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s121) | (~until27(s121)) | xuntil28(s121))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s121) | node26(s121) | (~until27(s121))))),
% 5.44/4.29 inference(monotonicity,[status(thm)],[19642])).
% 5.44/4.29 tff(19644,plain,
% 5.44/4.29 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s121) | (~until27(s121)) | xuntil28(s121))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s121) | node26(s121) | (~until27(s121)))),
% 5.44/4.29 inference(transitivity,[status(thm)],[19643, 19641])).
% 5.44/4.29 tff(19645,plain,
% 5.44/4.29 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s121) | (~until27(s121)) | xuntil28(s121))),
% 5.44/4.29 inference(quant_inst,[status(thm)],[])).
% 5.44/4.29 tff(19646,plain,
% 5.44/4.29 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s121) | node26(s121) | (~until27(s121))),
% 5.44/4.29 inference(modus_ponens,[status(thm)],[19645, 19644])).
% 5.44/4.29 tff(19647,plain,
% 5.44/4.29 (xuntil28(s121)),
% 5.44/4.29 inference(unit_resolution,[status(thm)],[19646, 17992, 19640, 17104])).
% 5.44/4.29 tff(19648,plain,
% 5.44/4.29 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s121, s122)) | (~xuntil28(s121)) | until27(s122))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s121, s122)) | (~xuntil28(s121)) | until27(s122))),
% 5.44/4.29 inference(rewrite,[status(thm)],[])).
% 5.44/4.29 tff(19649,plain,
% 5.44/4.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s121, s122)) | (~xuntil28(s121)) | until27(s122))),
% 5.44/4.29 inference(quant_inst,[status(thm)],[])).
% 5.44/4.29 tff(19650,plain,
% 5.44/4.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s121, s122)) | (~xuntil28(s121)) | until27(s122)),
% 5.44/4.29 inference(modus_ponens,[status(thm)],[19649, 19648])).
% 5.44/4.29 tff(19651,plain,
% 5.44/4.29 ((~xuntil28(s121)) | until27(s122)),
% 5.44/4.29 inference(unit_resolution,[status(thm)],[19650, 9991, 18010])).
% 5.44/4.29 tff(19652,plain,
% 5.44/4.29 (until27(s122)),
% 5.44/4.29 inference(unit_resolution,[status(thm)],[19651, 19647])).
% 5.44/4.29 tff(19653,plain,
% 5.44/4.29 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s122) | node26(s122) | (~until27(s122)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s122) | node26(s122) | (~until27(s122)))),
% 5.44/4.29 inference(rewrite,[status(thm)],[])).
% 5.44/4.29 tff(19654,plain,
% 5.44/4.29 ((node26(s122) | (~until27(s122)) | xuntil28(s122)) <=> (xuntil28(s122) | node26(s122) | (~until27(s122)))),
% 5.44/4.29 inference(rewrite,[status(thm)],[])).
% 5.44/4.29 tff(19655,plain,
% 5.44/4.29 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s122) | (~until27(s122)) | xuntil28(s122))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s122) | node26(s122) | (~until27(s122))))),
% 5.44/4.29 inference(monotonicity,[status(thm)],[19654])).
% 5.44/4.29 tff(19656,plain,
% 5.44/4.29 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s122) | (~until27(s122)) | xuntil28(s122))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s122) | node26(s122) | (~until27(s122)))),
% 5.44/4.29 inference(transitivity,[status(thm)],[19655, 19653])).
% 5.44/4.29 tff(19657,plain,
% 5.44/4.29 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s122) | (~until27(s122)) | xuntil28(s122))),
% 5.44/4.29 inference(quant_inst,[status(thm)],[])).
% 5.44/4.29 tff(19658,plain,
% 5.44/4.29 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s122) | node26(s122) | (~until27(s122))),
% 5.44/4.29 inference(modus_ponens,[status(thm)],[19657, 19656])).
% 5.44/4.29 tff(19659,plain,
% 5.44/4.29 (xuntil28(s122) | node26(s122)),
% 5.44/4.29 inference(unit_resolution,[status(thm)],[19658, 17992, 19652])).
% 5.44/4.29 tff(19660,plain,
% 5.44/4.29 (xuntil28(s122)),
% 5.44/4.29 inference(unit_resolution,[status(thm)],[19659, 17100])).
% 5.44/4.29 tff(19661,plain,
% 5.44/4.29 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s122, s123)) | (~xuntil28(s122)) | until27(s123))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s122, s123)) | (~xuntil28(s122)) | until27(s123))),
% 5.44/4.29 inference(rewrite,[status(thm)],[])).
% 5.44/4.29 tff(19662,plain,
% 5.44/4.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s122, s123)) | (~xuntil28(s122)) | until27(s123))),
% 5.44/4.29 inference(quant_inst,[status(thm)],[])).
% 5.44/4.29 tff(19663,plain,
% 5.44/4.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s122, s123)) | (~xuntil28(s122)) | until27(s123)),
% 5.44/4.29 inference(modus_ponens,[status(thm)],[19662, 19661])).
% 5.44/4.29 tff(19664,plain,
% 5.44/4.29 ((~xuntil28(s122)) | until27(s123)),
% 5.44/4.29 inference(unit_resolution,[status(thm)],[19663, 10090, 18010])).
% 5.44/4.29 tff(19665,plain,
% 5.44/4.29 (until27(s123)),
% 5.44/4.29 inference(unit_resolution,[status(thm)],[19664, 19660])).
% 5.44/4.29 tff(19666,plain,
% 5.44/4.29 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s123) | node26(s123) | (~until27(s123)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s123) | node26(s123) | (~until27(s123)))),
% 5.44/4.29 inference(rewrite,[status(thm)],[])).
% 5.44/4.29 tff(19667,plain,
% 5.44/4.29 ((node26(s123) | (~until27(s123)) | xuntil28(s123)) <=> (xuntil28(s123) | node26(s123) | (~until27(s123)))),
% 5.44/4.29 inference(rewrite,[status(thm)],[])).
% 5.44/4.29 tff(19668,plain,
% 5.44/4.29 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s123) | (~until27(s123)) | xuntil28(s123))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s123) | node26(s123) | (~until27(s123))))),
% 5.44/4.29 inference(monotonicity,[status(thm)],[19667])).
% 5.44/4.29 tff(19669,plain,
% 5.44/4.29 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s123) | (~until27(s123)) | xuntil28(s123))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s123) | node26(s123) | (~until27(s123)))),
% 5.44/4.29 inference(transitivity,[status(thm)],[19668, 19666])).
% 5.44/4.29 tff(19670,plain,
% 5.44/4.29 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s123) | (~until27(s123)) | xuntil28(s123))),
% 5.44/4.29 inference(quant_inst,[status(thm)],[])).
% 5.44/4.29 tff(19671,plain,
% 5.44/4.29 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s123) | node26(s123) | (~until27(s123))),
% 5.44/4.29 inference(modus_ponens,[status(thm)],[19670, 19669])).
% 5.44/4.29 tff(19672,plain,
% 5.44/4.29 (xuntil28(s123)),
% 5.44/4.29 inference(unit_resolution,[status(thm)],[19671, 17992, 19665, 17091])).
% 5.44/4.29 tff(19673,plain,
% 5.44/4.29 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s123, s124)) | (~xuntil28(s123)) | until27(s124))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s123, s124)) | (~xuntil28(s123)) | until27(s124))),
% 5.44/4.29 inference(rewrite,[status(thm)],[])).
% 5.44/4.29 tff(19674,plain,
% 5.44/4.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s123, s124)) | (~xuntil28(s123)) | until27(s124))),
% 5.44/4.29 inference(quant_inst,[status(thm)],[])).
% 5.44/4.29 tff(19675,plain,
% 5.44/4.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s123, s124)) | (~xuntil28(s123)) | until27(s124)),
% 5.44/4.29 inference(modus_ponens,[status(thm)],[19674, 19673])).
% 5.44/4.29 tff(19676,plain,
% 5.44/4.29 ((~xuntil28(s123)) | until27(s124)),
% 5.44/4.29 inference(unit_resolution,[status(thm)],[19675, 10168, 18010])).
% 5.44/4.29 tff(19677,plain,
% 5.44/4.29 (until27(s124)),
% 5.44/4.29 inference(unit_resolution,[status(thm)],[19676, 19672])).
% 5.44/4.29 tff(19678,plain,
% 5.44/4.29 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s124) | (~node26(s124)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s124) | (~node26(s124)))),
% 5.44/4.29 inference(rewrite,[status(thm)],[])).
% 5.44/4.29 tff(19679,plain,
% 5.44/4.29 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s124) | (~node26(s124)))),
% 5.44/4.29 inference(quant_inst,[status(thm)],[])).
% 5.44/4.29 tff(19680,plain,
% 5.44/4.29 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s124) | (~node26(s124))),
% 5.44/4.29 inference(modus_ponens,[status(thm)],[19679, 19678])).
% 5.44/4.29 tff(19681,plain,
% 5.44/4.29 (~node26(s124)),
% 5.44/4.29 inference(unit_resolution,[status(thm)],[19680, 16500, 17082])).
% 5.44/4.29 tff(19682,plain,
% 5.44/4.29 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s124) | node26(s124) | (~until27(s124)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s124) | node26(s124) | (~until27(s124)))),
% 5.44/4.29 inference(rewrite,[status(thm)],[])).
% 5.44/4.29 tff(19683,plain,
% 5.44/4.29 ((node26(s124) | (~until27(s124)) | xuntil28(s124)) <=> (xuntil28(s124) | node26(s124) | (~until27(s124)))),
% 5.44/4.29 inference(rewrite,[status(thm)],[])).
% 5.44/4.29 tff(19684,plain,
% 5.44/4.29 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s124) | (~until27(s124)) | xuntil28(s124))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s124) | node26(s124) | (~until27(s124))))),
% 5.44/4.29 inference(monotonicity,[status(thm)],[19683])).
% 5.44/4.29 tff(19685,plain,
% 5.44/4.29 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s124) | (~until27(s124)) | xuntil28(s124))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s124) | node26(s124) | (~until27(s124)))),
% 5.44/4.29 inference(transitivity,[status(thm)],[19684, 19682])).
% 5.44/4.29 tff(19686,plain,
% 5.44/4.29 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s124) | (~until27(s124)) | xuntil28(s124))),
% 5.44/4.29 inference(quant_inst,[status(thm)],[])).
% 5.44/4.29 tff(19687,plain,
% 5.44/4.29 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s124) | node26(s124) | (~until27(s124))),
% 5.44/4.29 inference(modus_ponens,[status(thm)],[19686, 19685])).
% 5.44/4.29 tff(19688,plain,
% 5.44/4.29 (xuntil28(s124) | (~until27(s124))),
% 5.44/4.29 inference(unit_resolution,[status(thm)],[19687, 17992, 19681])).
% 5.44/4.29 tff(19689,plain,
% 5.44/4.29 (xuntil28(s124)),
% 5.44/4.29 inference(unit_resolution,[status(thm)],[19688, 19677])).
% 5.44/4.29 tff(19690,plain,
% 5.44/4.29 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s124, s125)) | (~xuntil28(s124)) | until27(s125))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s124, s125)) | (~xuntil28(s124)) | until27(s125))),
% 5.44/4.29 inference(rewrite,[status(thm)],[])).
% 5.44/4.29 tff(19691,plain,
% 5.44/4.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s124, s125)) | (~xuntil28(s124)) | until27(s125))),
% 5.44/4.29 inference(quant_inst,[status(thm)],[])).
% 5.44/4.29 tff(19692,plain,
% 5.44/4.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s124, s125)) | (~xuntil28(s124)) | until27(s125)),
% 5.44/4.29 inference(modus_ponens,[status(thm)],[19691, 19690])).
% 5.44/4.29 tff(19693,plain,
% 5.44/4.29 ((~xuntil28(s124)) | until27(s125)),
% 5.44/4.29 inference(unit_resolution,[status(thm)],[19692, 10229, 18010])).
% 5.44/4.29 tff(19694,plain,
% 5.44/4.29 (until27(s125)),
% 5.44/4.29 inference(unit_resolution,[status(thm)],[19693, 19689])).
% 5.44/4.29 tff(19695,plain,
% 5.44/4.29 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s125) | node26(s125) | (~until27(s125)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s125) | node26(s125) | (~until27(s125)))),
% 5.44/4.29 inference(rewrite,[status(thm)],[])).
% 5.44/4.29 tff(19696,plain,
% 5.44/4.29 ((node26(s125) | (~until27(s125)) | xuntil28(s125)) <=> (xuntil28(s125) | node26(s125) | (~until27(s125)))),
% 5.44/4.29 inference(rewrite,[status(thm)],[])).
% 5.44/4.29 tff(19697,plain,
% 5.44/4.29 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s125) | (~until27(s125)) | xuntil28(s125))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s125) | node26(s125) | (~until27(s125))))),
% 5.44/4.29 inference(monotonicity,[status(thm)],[19696])).
% 5.44/4.29 tff(19698,plain,
% 5.44/4.29 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s125) | (~until27(s125)) | xuntil28(s125))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s125) | node26(s125) | (~until27(s125)))),
% 5.44/4.29 inference(transitivity,[status(thm)],[19697, 19695])).
% 5.44/4.29 tff(19699,plain,
% 5.44/4.29 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s125) | (~until27(s125)) | xuntil28(s125))),
% 5.44/4.29 inference(quant_inst,[status(thm)],[])).
% 5.44/4.29 tff(19700,plain,
% 5.44/4.29 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s125) | node26(s125) | (~until27(s125))),
% 5.44/4.29 inference(modus_ponens,[status(thm)],[19699, 19698])).
% 5.44/4.29 tff(19701,plain,
% 5.44/4.29 (xuntil28(s125)),
% 5.44/4.29 inference(unit_resolution,[status(thm)],[19700, 17992, 19694, 17075])).
% 5.44/4.29 tff(19702,plain,
% 5.44/4.29 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s125, s126)) | (~xuntil28(s125)) | until27(s126))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s125, s126)) | (~xuntil28(s125)) | until27(s126))),
% 5.44/4.29 inference(rewrite,[status(thm)],[])).
% 5.44/4.29 tff(19703,plain,
% 5.44/4.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s125, s126)) | (~xuntil28(s125)) | until27(s126))),
% 5.44/4.29 inference(quant_inst,[status(thm)],[])).
% 5.44/4.29 tff(19704,plain,
% 5.44/4.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s125, s126)) | (~xuntil28(s125)) | until27(s126)),
% 5.44/4.29 inference(modus_ponens,[status(thm)],[19703, 19702])).
% 5.44/4.29 tff(19705,plain,
% 5.44/4.29 ((~xuntil28(s125)) | until27(s126)),
% 5.44/4.29 inference(unit_resolution,[status(thm)],[19704, 10324, 18010])).
% 5.44/4.29 tff(19706,plain,
% 5.44/4.29 (until27(s126)),
% 5.44/4.29 inference(unit_resolution,[status(thm)],[19705, 19701])).
% 5.44/4.29 tff(19707,plain,
% 5.44/4.29 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s126) | node26(s126) | (~until27(s126)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s126) | node26(s126) | (~until27(s126)))),
% 5.44/4.29 inference(rewrite,[status(thm)],[])).
% 5.44/4.29 tff(19708,plain,
% 5.44/4.29 ((node26(s126) | (~until27(s126)) | xuntil28(s126)) <=> (xuntil28(s126) | node26(s126) | (~until27(s126)))),
% 5.44/4.29 inference(rewrite,[status(thm)],[])).
% 5.44/4.29 tff(19709,plain,
% 5.44/4.29 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s126) | (~until27(s126)) | xuntil28(s126))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s126) | node26(s126) | (~until27(s126))))),
% 5.44/4.29 inference(monotonicity,[status(thm)],[19708])).
% 5.44/4.29 tff(19710,plain,
% 5.44/4.29 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s126) | (~until27(s126)) | xuntil28(s126))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s126) | node26(s126) | (~until27(s126)))),
% 5.44/4.29 inference(transitivity,[status(thm)],[19709, 19707])).
% 5.44/4.29 tff(19711,plain,
% 5.44/4.29 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s126) | (~until27(s126)) | xuntil28(s126))),
% 5.44/4.29 inference(quant_inst,[status(thm)],[])).
% 5.44/4.29 tff(19712,plain,
% 5.44/4.29 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s126) | node26(s126) | (~until27(s126))),
% 5.44/4.29 inference(modus_ponens,[status(thm)],[19711, 19710])).
% 5.44/4.29 tff(19713,plain,
% 5.44/4.29 (xuntil28(s126) | node26(s126)),
% 5.44/4.29 inference(unit_resolution,[status(thm)],[19712, 17992, 19706])).
% 5.44/4.29 tff(19714,plain,
% 5.44/4.29 (xuntil28(s126)),
% 5.44/4.29 inference(unit_resolution,[status(thm)],[19713, 17071])).
% 5.44/4.29 tff(19715,plain,
% 5.44/4.29 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s126, s127)) | (~xuntil28(s126)) | until27(s127))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s126, s127)) | (~xuntil28(s126)) | until27(s127))),
% 5.44/4.29 inference(rewrite,[status(thm)],[])).
% 5.44/4.29 tff(19716,plain,
% 5.44/4.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s126, s127)) | (~xuntil28(s126)) | until27(s127))),
% 5.44/4.29 inference(quant_inst,[status(thm)],[])).
% 5.44/4.29 tff(19717,plain,
% 5.44/4.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s126, s127)) | (~xuntil28(s126)) | until27(s127)),
% 5.44/4.29 inference(modus_ponens,[status(thm)],[19716, 19715])).
% 5.44/4.29 tff(19718,plain,
% 5.44/4.29 ((~xuntil28(s126)) | until27(s127)),
% 5.44/4.29 inference(unit_resolution,[status(thm)],[19717, 10388, 18010])).
% 5.44/4.29 tff(19719,plain,
% 5.44/4.29 (until27(s127)),
% 5.44/4.29 inference(unit_resolution,[status(thm)],[19718, 19714])).
% 5.44/4.29 tff(19720,plain,
% 5.44/4.29 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s127) | node26(s127) | (~until27(s127)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s127) | node26(s127) | (~until27(s127)))),
% 5.44/4.29 inference(rewrite,[status(thm)],[])).
% 5.44/4.29 tff(19721,plain,
% 5.44/4.29 ((node26(s127) | (~until27(s127)) | xuntil28(s127)) <=> (xuntil28(s127) | node26(s127) | (~until27(s127)))),
% 5.44/4.29 inference(rewrite,[status(thm)],[])).
% 5.44/4.29 tff(19722,plain,
% 5.44/4.29 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s127) | (~until27(s127)) | xuntil28(s127))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s127) | node26(s127) | (~until27(s127))))),
% 5.44/4.29 inference(monotonicity,[status(thm)],[19721])).
% 5.44/4.29 tff(19723,plain,
% 5.44/4.29 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s127) | (~until27(s127)) | xuntil28(s127))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s127) | node26(s127) | (~until27(s127)))),
% 5.44/4.29 inference(transitivity,[status(thm)],[19722, 19720])).
% 5.44/4.29 tff(19724,plain,
% 5.44/4.29 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s127) | (~until27(s127)) | xuntil28(s127))),
% 5.44/4.29 inference(quant_inst,[status(thm)],[])).
% 5.44/4.29 tff(19725,plain,
% 5.44/4.29 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s127) | node26(s127) | (~until27(s127))),
% 5.44/4.29 inference(modus_ponens,[status(thm)],[19724, 19723])).
% 5.44/4.29 tff(19726,plain,
% 5.44/4.29 (xuntil28(s127)),
% 5.44/4.29 inference(unit_resolution,[status(thm)],[19725, 17992, 19719, 17062])).
% 5.44/4.29 tff(19727,plain,
% 5.44/4.29 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s127, s128)) | (~xuntil28(s127)) | until27(s128))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s127, s128)) | (~xuntil28(s127)) | until27(s128))),
% 5.44/4.29 inference(rewrite,[status(thm)],[])).
% 5.44/4.29 tff(19728,plain,
% 5.44/4.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s127, s128)) | (~xuntil28(s127)) | until27(s128))),
% 5.44/4.29 inference(quant_inst,[status(thm)],[])).
% 5.44/4.29 tff(19729,plain,
% 5.44/4.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s127, s128)) | (~xuntil28(s127)) | until27(s128)),
% 5.44/4.29 inference(modus_ponens,[status(thm)],[19728, 19727])).
% 5.44/4.29 tff(19730,plain,
% 5.44/4.29 ((~xuntil28(s127)) | until27(s128)),
% 5.44/4.29 inference(unit_resolution,[status(thm)],[19729, 10463, 18010])).
% 5.44/4.29 tff(19731,plain,
% 5.44/4.29 (until27(s128)),
% 5.44/4.29 inference(unit_resolution,[status(thm)],[19730, 19726])).
% 5.44/4.29 tff(19732,plain,
% 5.44/4.29 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s128) | (~node26(s128)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s128) | (~node26(s128)))),
% 5.44/4.29 inference(rewrite,[status(thm)],[])).
% 5.44/4.29 tff(19733,plain,
% 5.44/4.29 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s128) | (~node26(s128)))),
% 5.44/4.29 inference(quant_inst,[status(thm)],[])).
% 5.44/4.29 tff(19734,plain,
% 5.44/4.29 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s128) | (~node26(s128))),
% 5.44/4.29 inference(modus_ponens,[status(thm)],[19733, 19732])).
% 5.44/4.29 tff(19735,plain,
% 5.44/4.29 (~node26(s128)),
% 5.44/4.29 inference(unit_resolution,[status(thm)],[19734, 16500, 17053])).
% 5.44/4.29 tff(19736,plain,
% 5.44/4.29 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s128) | node26(s128) | (~until27(s128)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s128) | node26(s128) | (~until27(s128)))),
% 5.44/4.29 inference(rewrite,[status(thm)],[])).
% 5.44/4.29 tff(19737,plain,
% 5.44/4.29 ((node26(s128) | (~until27(s128)) | xuntil28(s128)) <=> (xuntil28(s128) | node26(s128) | (~until27(s128)))),
% 5.44/4.29 inference(rewrite,[status(thm)],[])).
% 5.44/4.29 tff(19738,plain,
% 5.44/4.29 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s128) | (~until27(s128)) | xuntil28(s128))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s128) | node26(s128) | (~until27(s128))))),
% 5.44/4.29 inference(monotonicity,[status(thm)],[19737])).
% 5.44/4.29 tff(19739,plain,
% 5.44/4.29 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s128) | (~until27(s128)) | xuntil28(s128))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s128) | node26(s128) | (~until27(s128)))),
% 5.44/4.29 inference(transitivity,[status(thm)],[19738, 19736])).
% 5.44/4.29 tff(19740,plain,
% 5.44/4.29 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s128) | (~until27(s128)) | xuntil28(s128))),
% 5.44/4.29 inference(quant_inst,[status(thm)],[])).
% 5.44/4.29 tff(19741,plain,
% 5.44/4.29 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s128) | node26(s128) | (~until27(s128))),
% 5.44/4.29 inference(modus_ponens,[status(thm)],[19740, 19739])).
% 5.44/4.29 tff(19742,plain,
% 5.44/4.29 (xuntil28(s128) | (~until27(s128))),
% 5.44/4.29 inference(unit_resolution,[status(thm)],[19741, 17992, 19735])).
% 5.44/4.29 tff(19743,plain,
% 5.44/4.29 (xuntil28(s128)),
% 5.44/4.29 inference(unit_resolution,[status(thm)],[19742, 19731])).
% 5.44/4.29 tff(19744,plain,
% 5.44/4.29 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s128, s129)) | (~xuntil28(s128)) | until27(s129))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s128, s129)) | (~xuntil28(s128)) | until27(s129))),
% 5.44/4.29 inference(rewrite,[status(thm)],[])).
% 5.44/4.29 tff(19745,plain,
% 5.44/4.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s128, s129)) | (~xuntil28(s128)) | until27(s129))),
% 5.44/4.29 inference(quant_inst,[status(thm)],[])).
% 5.44/4.29 tff(19746,plain,
% 5.44/4.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s128, s129)) | (~xuntil28(s128)) | until27(s129)),
% 5.44/4.29 inference(modus_ponens,[status(thm)],[19745, 19744])).
% 5.44/4.29 tff(19747,plain,
% 5.44/4.29 ((~xuntil28(s128)) | until27(s129)),
% 5.44/4.29 inference(unit_resolution,[status(thm)],[19746, 10552, 18010])).
% 5.44/4.29 tff(19748,plain,
% 5.44/4.29 (until27(s129)),
% 5.44/4.29 inference(unit_resolution,[status(thm)],[19747, 19743])).
% 5.44/4.29 tff(19749,plain,
% 5.44/4.29 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s129) | node26(s129) | (~until27(s129)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s129) | node26(s129) | (~until27(s129)))),
% 5.44/4.29 inference(rewrite,[status(thm)],[])).
% 5.44/4.29 tff(19750,plain,
% 5.44/4.29 ((node26(s129) | (~until27(s129)) | xuntil28(s129)) <=> (xuntil28(s129) | node26(s129) | (~until27(s129)))),
% 5.44/4.29 inference(rewrite,[status(thm)],[])).
% 5.44/4.29 tff(19751,plain,
% 5.44/4.29 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s129) | (~until27(s129)) | xuntil28(s129))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s129) | node26(s129) | (~until27(s129))))),
% 5.44/4.29 inference(monotonicity,[status(thm)],[19750])).
% 5.44/4.29 tff(19752,plain,
% 5.44/4.29 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s129) | (~until27(s129)) | xuntil28(s129))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s129) | node26(s129) | (~until27(s129)))),
% 5.44/4.29 inference(transitivity,[status(thm)],[19751, 19749])).
% 5.44/4.29 tff(19753,plain,
% 5.44/4.29 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s129) | (~until27(s129)) | xuntil28(s129))),
% 5.44/4.29 inference(quant_inst,[status(thm)],[])).
% 5.44/4.29 tff(19754,plain,
% 5.44/4.29 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s129) | node26(s129) | (~until27(s129))),
% 5.44/4.29 inference(modus_ponens,[status(thm)],[19753, 19752])).
% 5.44/4.29 tff(19755,plain,
% 5.44/4.29 (xuntil28(s129)),
% 5.44/4.29 inference(unit_resolution,[status(thm)],[19754, 17992, 19748, 17046])).
% 5.44/4.29 tff(19756,plain,
% 5.44/4.29 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s129, s130)) | (~xuntil28(s129)) | until27(s130))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s129, s130)) | (~xuntil28(s129)) | until27(s130))),
% 5.44/4.29 inference(rewrite,[status(thm)],[])).
% 5.44/4.29 tff(19757,plain,
% 5.44/4.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s129, s130)) | (~xuntil28(s129)) | until27(s130))),
% 5.44/4.29 inference(quant_inst,[status(thm)],[])).
% 5.44/4.29 tff(19758,plain,
% 5.44/4.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s129, s130)) | (~xuntil28(s129)) | until27(s130)),
% 5.44/4.29 inference(modus_ponens,[status(thm)],[19757, 19756])).
% 5.44/4.29 tff(19759,plain,
% 5.44/4.29 ((~xuntil28(s129)) | until27(s130)),
% 5.44/4.29 inference(unit_resolution,[status(thm)],[19758, 10619, 18010])).
% 5.44/4.29 tff(19760,plain,
% 5.44/4.29 (until27(s130)),
% 5.44/4.29 inference(unit_resolution,[status(thm)],[19759, 19755])).
% 5.44/4.29 tff(19761,plain,
% 5.44/4.29 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s130) | node26(s130) | (~until27(s130)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s130) | node26(s130) | (~until27(s130)))),
% 5.44/4.29 inference(rewrite,[status(thm)],[])).
% 5.44/4.29 tff(19762,plain,
% 5.44/4.29 ((node26(s130) | (~until27(s130)) | xuntil28(s130)) <=> (xuntil28(s130) | node26(s130) | (~until27(s130)))),
% 5.44/4.29 inference(rewrite,[status(thm)],[])).
% 5.44/4.29 tff(19763,plain,
% 5.44/4.29 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s130) | (~until27(s130)) | xuntil28(s130))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s130) | node26(s130) | (~until27(s130))))),
% 5.44/4.29 inference(monotonicity,[status(thm)],[19762])).
% 5.44/4.29 tff(19764,plain,
% 5.44/4.29 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s130) | (~until27(s130)) | xuntil28(s130))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s130) | node26(s130) | (~until27(s130)))),
% 5.44/4.29 inference(transitivity,[status(thm)],[19763, 19761])).
% 5.44/4.29 tff(19765,plain,
% 5.44/4.29 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s130) | (~until27(s130)) | xuntil28(s130))),
% 5.44/4.29 inference(quant_inst,[status(thm)],[])).
% 5.44/4.29 tff(19766,plain,
% 5.44/4.29 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s130) | node26(s130) | (~until27(s130))),
% 5.44/4.29 inference(modus_ponens,[status(thm)],[19765, 19764])).
% 5.44/4.29 tff(19767,plain,
% 5.44/4.29 (xuntil28(s130) | node26(s130)),
% 5.44/4.29 inference(unit_resolution,[status(thm)],[19766, 17992, 19760])).
% 5.44/4.29 tff(19768,plain,
% 5.44/4.29 (xuntil28(s130)),
% 5.44/4.29 inference(unit_resolution,[status(thm)],[19767, 17042])).
% 5.44/4.29 tff(19769,plain,
% 5.44/4.29 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s130, s131)) | (~xuntil28(s130)) | until27(s131))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s130, s131)) | (~xuntil28(s130)) | until27(s131))),
% 5.44/4.29 inference(rewrite,[status(thm)],[])).
% 5.44/4.29 tff(19770,plain,
% 5.44/4.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s130, s131)) | (~xuntil28(s130)) | until27(s131))),
% 5.44/4.29 inference(quant_inst,[status(thm)],[])).
% 5.44/4.29 tff(19771,plain,
% 5.44/4.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s130, s131)) | (~xuntil28(s130)) | until27(s131)),
% 5.44/4.29 inference(modus_ponens,[status(thm)],[19770, 19769])).
% 5.44/4.29 tff(19772,plain,
% 5.44/4.29 ((~xuntil28(s130)) | until27(s131)),
% 5.44/4.29 inference(unit_resolution,[status(thm)],[19771, 10718, 18010])).
% 5.44/4.29 tff(19773,plain,
% 5.44/4.29 (until27(s131)),
% 5.44/4.29 inference(unit_resolution,[status(thm)],[19772, 19768])).
% 5.44/4.29 tff(19774,plain,
% 5.44/4.29 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s131) | node26(s131) | (~until27(s131)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s131) | node26(s131) | (~until27(s131)))),
% 5.44/4.29 inference(rewrite,[status(thm)],[])).
% 5.44/4.29 tff(19775,plain,
% 5.44/4.29 ((node26(s131) | (~until27(s131)) | xuntil28(s131)) <=> (xuntil28(s131) | node26(s131) | (~until27(s131)))),
% 5.44/4.29 inference(rewrite,[status(thm)],[])).
% 5.44/4.29 tff(19776,plain,
% 5.44/4.29 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s131) | (~until27(s131)) | xuntil28(s131))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s131) | node26(s131) | (~until27(s131))))),
% 5.44/4.29 inference(monotonicity,[status(thm)],[19775])).
% 5.44/4.29 tff(19777,plain,
% 5.44/4.29 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s131) | (~until27(s131)) | xuntil28(s131))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s131) | node26(s131) | (~until27(s131)))),
% 5.44/4.29 inference(transitivity,[status(thm)],[19776, 19774])).
% 5.44/4.29 tff(19778,plain,
% 5.44/4.29 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s131) | (~until27(s131)) | xuntil28(s131))),
% 5.44/4.29 inference(quant_inst,[status(thm)],[])).
% 5.44/4.29 tff(19779,plain,
% 5.44/4.29 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s131) | node26(s131) | (~until27(s131))),
% 5.44/4.29 inference(modus_ponens,[status(thm)],[19778, 19777])).
% 5.44/4.29 tff(19780,plain,
% 5.44/4.29 (xuntil28(s131)),
% 5.44/4.29 inference(unit_resolution,[status(thm)],[19779, 17992, 19773, 17033])).
% 5.44/4.29 tff(19781,plain,
% 5.44/4.29 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s131, s132)) | (~xuntil28(s131)) | until27(s132))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s131, s132)) | (~xuntil28(s131)) | until27(s132))),
% 5.44/4.29 inference(rewrite,[status(thm)],[])).
% 5.44/4.29 tff(19782,plain,
% 5.44/4.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s131, s132)) | (~xuntil28(s131)) | until27(s132))),
% 5.44/4.29 inference(quant_inst,[status(thm)],[])).
% 5.44/4.29 tff(19783,plain,
% 5.44/4.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s131, s132)) | (~xuntil28(s131)) | until27(s132)),
% 5.44/4.29 inference(modus_ponens,[status(thm)],[19782, 19781])).
% 5.44/4.29 tff(19784,plain,
% 5.44/4.29 ((~xuntil28(s131)) | until27(s132)),
% 5.44/4.29 inference(unit_resolution,[status(thm)],[19783, 10796, 18010])).
% 5.44/4.29 tff(19785,plain,
% 5.44/4.29 (until27(s132)),
% 5.44/4.29 inference(unit_resolution,[status(thm)],[19784, 19780])).
% 5.44/4.29 tff(19786,plain,
% 5.44/4.29 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s132) | (~node26(s132)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s132) | (~node26(s132)))),
% 5.44/4.29 inference(rewrite,[status(thm)],[])).
% 5.44/4.29 tff(19787,plain,
% 5.44/4.29 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s132) | (~node26(s132)))),
% 5.44/4.30 inference(quant_inst,[status(thm)],[])).
% 5.44/4.30 tff(19788,plain,
% 5.44/4.30 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s132) | (~node26(s132))),
% 5.44/4.30 inference(modus_ponens,[status(thm)],[19787, 19786])).
% 5.44/4.30 tff(19789,plain,
% 5.44/4.30 (~node26(s132)),
% 5.44/4.30 inference(unit_resolution,[status(thm)],[19788, 16500, 17024])).
% 5.44/4.30 tff(19790,plain,
% 5.44/4.30 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s132) | node26(s132) | (~until27(s132)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s132) | node26(s132) | (~until27(s132)))),
% 5.44/4.30 inference(rewrite,[status(thm)],[])).
% 5.44/4.30 tff(19791,plain,
% 5.44/4.30 ((node26(s132) | (~until27(s132)) | xuntil28(s132)) <=> (xuntil28(s132) | node26(s132) | (~until27(s132)))),
% 5.44/4.30 inference(rewrite,[status(thm)],[])).
% 5.44/4.30 tff(19792,plain,
% 5.44/4.30 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s132) | (~until27(s132)) | xuntil28(s132))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s132) | node26(s132) | (~until27(s132))))),
% 5.44/4.30 inference(monotonicity,[status(thm)],[19791])).
% 5.44/4.30 tff(19793,plain,
% 5.44/4.30 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s132) | (~until27(s132)) | xuntil28(s132))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s132) | node26(s132) | (~until27(s132)))),
% 5.44/4.30 inference(transitivity,[status(thm)],[19792, 19790])).
% 5.44/4.30 tff(19794,plain,
% 5.44/4.30 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s132) | (~until27(s132)) | xuntil28(s132))),
% 5.44/4.30 inference(quant_inst,[status(thm)],[])).
% 5.44/4.30 tff(19795,plain,
% 5.44/4.30 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s132) | node26(s132) | (~until27(s132))),
% 5.44/4.30 inference(modus_ponens,[status(thm)],[19794, 19793])).
% 5.44/4.30 tff(19796,plain,
% 5.44/4.30 (xuntil28(s132) | (~until27(s132))),
% 5.44/4.30 inference(unit_resolution,[status(thm)],[19795, 17992, 19789])).
% 5.44/4.30 tff(19797,plain,
% 5.44/4.30 (xuntil28(s132)),
% 5.44/4.30 inference(unit_resolution,[status(thm)],[19796, 19785])).
% 5.44/4.30 tff(19798,plain,
% 5.44/4.30 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s132, s133)) | (~xuntil28(s132)) | until27(s133))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s132, s133)) | (~xuntil28(s132)) | until27(s133))),
% 5.44/4.30 inference(rewrite,[status(thm)],[])).
% 5.44/4.30 tff(19799,plain,
% 5.44/4.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s132, s133)) | (~xuntil28(s132)) | until27(s133))),
% 5.44/4.30 inference(quant_inst,[status(thm)],[])).
% 5.44/4.30 tff(19800,plain,
% 5.44/4.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s132, s133)) | (~xuntil28(s132)) | until27(s133)),
% 5.44/4.30 inference(modus_ponens,[status(thm)],[19799, 19798])).
% 5.44/4.30 tff(19801,plain,
% 5.44/4.30 ((~xuntil28(s132)) | until27(s133)),
% 5.44/4.30 inference(unit_resolution,[status(thm)],[19800, 10857, 18010])).
% 5.44/4.30 tff(19802,plain,
% 5.44/4.30 (until27(s133)),
% 5.44/4.30 inference(unit_resolution,[status(thm)],[19801, 19797])).
% 5.44/4.30 tff(19803,plain,
% 5.44/4.30 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s133) | node26(s133) | (~until27(s133)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s133) | node26(s133) | (~until27(s133)))),
% 5.44/4.30 inference(rewrite,[status(thm)],[])).
% 5.44/4.30 tff(19804,plain,
% 5.44/4.30 ((node26(s133) | (~until27(s133)) | xuntil28(s133)) <=> (xuntil28(s133) | node26(s133) | (~until27(s133)))),
% 5.44/4.30 inference(rewrite,[status(thm)],[])).
% 5.44/4.30 tff(19805,plain,
% 5.44/4.30 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s133) | (~until27(s133)) | xuntil28(s133))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s133) | node26(s133) | (~until27(s133))))),
% 5.44/4.30 inference(monotonicity,[status(thm)],[19804])).
% 5.44/4.30 tff(19806,plain,
% 5.44/4.30 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s133) | (~until27(s133)) | xuntil28(s133))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s133) | node26(s133) | (~until27(s133)))),
% 5.44/4.30 inference(transitivity,[status(thm)],[19805, 19803])).
% 5.44/4.30 tff(19807,plain,
% 5.44/4.30 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s133) | (~until27(s133)) | xuntil28(s133))),
% 5.44/4.30 inference(quant_inst,[status(thm)],[])).
% 5.44/4.30 tff(19808,plain,
% 5.44/4.30 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s133) | node26(s133) | (~until27(s133))),
% 5.44/4.30 inference(modus_ponens,[status(thm)],[19807, 19806])).
% 5.44/4.30 tff(19809,plain,
% 5.44/4.30 (xuntil28(s133)),
% 5.44/4.30 inference(unit_resolution,[status(thm)],[19808, 17992, 19802, 17017])).
% 5.44/4.30 tff(19810,plain,
% 5.44/4.30 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s133, s134)) | (~xuntil28(s133)) | until27(s134))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s133, s134)) | (~xuntil28(s133)) | until27(s134))),
% 5.44/4.30 inference(rewrite,[status(thm)],[])).
% 5.44/4.30 tff(19811,plain,
% 5.44/4.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s133, s134)) | (~xuntil28(s133)) | until27(s134))),
% 5.44/4.30 inference(quant_inst,[status(thm)],[])).
% 5.44/4.30 tff(19812,plain,
% 5.44/4.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s133, s134)) | (~xuntil28(s133)) | until27(s134)),
% 5.44/4.30 inference(modus_ponens,[status(thm)],[19811, 19810])).
% 5.44/4.30 tff(19813,plain,
% 5.44/4.30 ((~xuntil28(s133)) | until27(s134)),
% 5.44/4.30 inference(unit_resolution,[status(thm)],[19812, 10952, 18010])).
% 5.44/4.30 tff(19814,plain,
% 5.44/4.30 (until27(s134)),
% 5.44/4.30 inference(unit_resolution,[status(thm)],[19813, 19809])).
% 5.44/4.30 tff(19815,plain,
% 5.44/4.30 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s134) | node26(s134) | (~until27(s134)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s134) | node26(s134) | (~until27(s134)))),
% 5.44/4.30 inference(rewrite,[status(thm)],[])).
% 5.44/4.30 tff(19816,plain,
% 5.44/4.30 ((node26(s134) | (~until27(s134)) | xuntil28(s134)) <=> (xuntil28(s134) | node26(s134) | (~until27(s134)))),
% 5.44/4.30 inference(rewrite,[status(thm)],[])).
% 5.44/4.30 tff(19817,plain,
% 5.44/4.30 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s134) | (~until27(s134)) | xuntil28(s134))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s134) | node26(s134) | (~until27(s134))))),
% 5.44/4.30 inference(monotonicity,[status(thm)],[19816])).
% 5.44/4.30 tff(19818,plain,
% 5.44/4.30 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s134) | (~until27(s134)) | xuntil28(s134))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s134) | node26(s134) | (~until27(s134)))),
% 5.44/4.30 inference(transitivity,[status(thm)],[19817, 19815])).
% 5.44/4.30 tff(19819,plain,
% 5.44/4.30 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s134) | (~until27(s134)) | xuntil28(s134))),
% 5.44/4.30 inference(quant_inst,[status(thm)],[])).
% 5.44/4.30 tff(19820,plain,
% 5.44/4.30 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s134) | node26(s134) | (~until27(s134))),
% 5.44/4.30 inference(modus_ponens,[status(thm)],[19819, 19818])).
% 5.44/4.30 tff(19821,plain,
% 5.44/4.30 (xuntil28(s134) | node26(s134)),
% 5.44/4.30 inference(unit_resolution,[status(thm)],[19820, 17992, 19814])).
% 5.44/4.30 tff(19822,plain,
% 5.44/4.30 (xuntil28(s134)),
% 5.44/4.30 inference(unit_resolution,[status(thm)],[19821, 17013])).
% 5.44/4.30 tff(19823,plain,
% 5.44/4.30 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s134, s135)) | (~xuntil28(s134)) | until27(s135))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s134, s135)) | (~xuntil28(s134)) | until27(s135))),
% 5.44/4.30 inference(rewrite,[status(thm)],[])).
% 5.44/4.30 tff(19824,plain,
% 5.44/4.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s134, s135)) | (~xuntil28(s134)) | until27(s135))),
% 5.44/4.30 inference(quant_inst,[status(thm)],[])).
% 5.44/4.30 tff(19825,plain,
% 5.44/4.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s134, s135)) | (~xuntil28(s134)) | until27(s135)),
% 5.44/4.30 inference(modus_ponens,[status(thm)],[19824, 19823])).
% 5.44/4.30 tff(19826,plain,
% 5.44/4.30 ((~xuntil28(s134)) | until27(s135)),
% 5.44/4.30 inference(unit_resolution,[status(thm)],[19825, 11016, 18010])).
% 5.44/4.30 tff(19827,plain,
% 5.44/4.30 (until27(s135)),
% 5.44/4.30 inference(unit_resolution,[status(thm)],[19826, 19822])).
% 5.44/4.30 tff(19828,plain,
% 5.44/4.30 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s135) | node26(s135) | (~until27(s135)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s135) | node26(s135) | (~until27(s135)))),
% 5.44/4.30 inference(rewrite,[status(thm)],[])).
% 5.44/4.30 tff(19829,plain,
% 5.44/4.30 ((node26(s135) | (~until27(s135)) | xuntil28(s135)) <=> (xuntil28(s135) | node26(s135) | (~until27(s135)))),
% 5.44/4.30 inference(rewrite,[status(thm)],[])).
% 5.44/4.30 tff(19830,plain,
% 5.44/4.30 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s135) | (~until27(s135)) | xuntil28(s135))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s135) | node26(s135) | (~until27(s135))))),
% 5.44/4.30 inference(monotonicity,[status(thm)],[19829])).
% 5.44/4.30 tff(19831,plain,
% 5.44/4.30 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s135) | (~until27(s135)) | xuntil28(s135))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s135) | node26(s135) | (~until27(s135)))),
% 5.44/4.30 inference(transitivity,[status(thm)],[19830, 19828])).
% 5.44/4.30 tff(19832,plain,
% 5.44/4.30 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s135) | (~until27(s135)) | xuntil28(s135))),
% 5.44/4.30 inference(quant_inst,[status(thm)],[])).
% 5.44/4.30 tff(19833,plain,
% 5.44/4.30 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s135) | node26(s135) | (~until27(s135))),
% 5.44/4.30 inference(modus_ponens,[status(thm)],[19832, 19831])).
% 5.44/4.30 tff(19834,plain,
% 5.44/4.30 (xuntil28(s135)),
% 5.44/4.30 inference(unit_resolution,[status(thm)],[19833, 17992, 19827, 17004])).
% 5.44/4.30 tff(19835,plain,
% 5.44/4.30 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s135, s136)) | (~xuntil28(s135)) | until27(s136))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s135, s136)) | (~xuntil28(s135)) | until27(s136))),
% 5.44/4.30 inference(rewrite,[status(thm)],[])).
% 5.44/4.30 tff(19836,plain,
% 5.44/4.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s135, s136)) | (~xuntil28(s135)) | until27(s136))),
% 5.44/4.30 inference(quant_inst,[status(thm)],[])).
% 5.44/4.30 tff(19837,plain,
% 5.44/4.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s135, s136)) | (~xuntil28(s135)) | until27(s136)),
% 5.44/4.30 inference(modus_ponens,[status(thm)],[19836, 19835])).
% 5.44/4.30 tff(19838,plain,
% 5.44/4.30 ((~xuntil28(s135)) | until27(s136)),
% 5.44/4.30 inference(unit_resolution,[status(thm)],[19837, 11091, 18010])).
% 5.44/4.30 tff(19839,plain,
% 5.44/4.30 (until27(s136)),
% 5.44/4.30 inference(unit_resolution,[status(thm)],[19838, 19834])).
% 5.44/4.30 tff(19840,plain,
% 5.44/4.30 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s136) | (~node26(s136)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s136) | (~node26(s136)))),
% 5.44/4.30 inference(rewrite,[status(thm)],[])).
% 5.44/4.30 tff(19841,plain,
% 5.44/4.30 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s136) | (~node26(s136)))),
% 5.44/4.30 inference(quant_inst,[status(thm)],[])).
% 5.44/4.30 tff(19842,plain,
% 5.44/4.30 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s136) | (~node26(s136))),
% 5.44/4.30 inference(modus_ponens,[status(thm)],[19841, 19840])).
% 5.44/4.30 tff(19843,plain,
% 5.44/4.30 (~node26(s136)),
% 5.44/4.30 inference(unit_resolution,[status(thm)],[19842, 16500, 16995])).
% 5.44/4.30 tff(19844,plain,
% 5.44/4.30 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s136) | node26(s136) | (~until27(s136)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s136) | node26(s136) | (~until27(s136)))),
% 5.44/4.30 inference(rewrite,[status(thm)],[])).
% 5.44/4.30 tff(19845,plain,
% 5.44/4.30 ((node26(s136) | (~until27(s136)) | xuntil28(s136)) <=> (xuntil28(s136) | node26(s136) | (~until27(s136)))),
% 5.44/4.30 inference(rewrite,[status(thm)],[])).
% 5.44/4.30 tff(19846,plain,
% 5.44/4.30 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s136) | (~until27(s136)) | xuntil28(s136))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s136) | node26(s136) | (~until27(s136))))),
% 5.44/4.30 inference(monotonicity,[status(thm)],[19845])).
% 5.44/4.30 tff(19847,plain,
% 5.44/4.30 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s136) | (~until27(s136)) | xuntil28(s136))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s136) | node26(s136) | (~until27(s136)))),
% 5.44/4.30 inference(transitivity,[status(thm)],[19846, 19844])).
% 5.44/4.30 tff(19848,plain,
% 5.44/4.30 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s136) | (~until27(s136)) | xuntil28(s136))),
% 5.44/4.30 inference(quant_inst,[status(thm)],[])).
% 5.44/4.30 tff(19849,plain,
% 5.44/4.30 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s136) | node26(s136) | (~until27(s136))),
% 5.44/4.30 inference(modus_ponens,[status(thm)],[19848, 19847])).
% 5.44/4.30 tff(19850,plain,
% 5.44/4.30 (xuntil28(s136) | (~until27(s136))),
% 5.44/4.30 inference(unit_resolution,[status(thm)],[19849, 17992, 19843])).
% 5.44/4.30 tff(19851,plain,
% 5.44/4.30 (xuntil28(s136)),
% 5.44/4.30 inference(unit_resolution,[status(thm)],[19850, 19839])).
% 5.44/4.30 tff(19852,plain,
% 5.44/4.30 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s136, s137)) | (~xuntil28(s136)) | until27(s137))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s136, s137)) | (~xuntil28(s136)) | until27(s137))),
% 5.44/4.30 inference(rewrite,[status(thm)],[])).
% 5.44/4.30 tff(19853,plain,
% 5.44/4.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s136, s137)) | (~xuntil28(s136)) | until27(s137))),
% 5.44/4.30 inference(quant_inst,[status(thm)],[])).
% 5.44/4.30 tff(19854,plain,
% 5.44/4.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s136, s137)) | (~xuntil28(s136)) | until27(s137)),
% 5.44/4.30 inference(modus_ponens,[status(thm)],[19853, 19852])).
% 5.44/4.30 tff(19855,plain,
% 5.44/4.30 ((~xuntil28(s136)) | until27(s137)),
% 5.44/4.30 inference(unit_resolution,[status(thm)],[19854, 11180, 18010])).
% 5.44/4.30 tff(19856,plain,
% 5.44/4.30 (until27(s137)),
% 5.44/4.30 inference(unit_resolution,[status(thm)],[19855, 19851])).
% 5.44/4.30 tff(19857,plain,
% 5.44/4.30 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s137) | node26(s137) | (~until27(s137)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s137) | node26(s137) | (~until27(s137)))),
% 5.44/4.30 inference(rewrite,[status(thm)],[])).
% 5.44/4.30 tff(19858,plain,
% 5.44/4.30 ((node26(s137) | (~until27(s137)) | xuntil28(s137)) <=> (xuntil28(s137) | node26(s137) | (~until27(s137)))),
% 5.44/4.30 inference(rewrite,[status(thm)],[])).
% 5.44/4.30 tff(19859,plain,
% 5.44/4.30 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s137) | (~until27(s137)) | xuntil28(s137))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s137) | node26(s137) | (~until27(s137))))),
% 5.44/4.30 inference(monotonicity,[status(thm)],[19858])).
% 5.44/4.30 tff(19860,plain,
% 5.44/4.30 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s137) | (~until27(s137)) | xuntil28(s137))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s137) | node26(s137) | (~until27(s137)))),
% 5.44/4.30 inference(transitivity,[status(thm)],[19859, 19857])).
% 5.44/4.30 tff(19861,plain,
% 5.44/4.30 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s137) | (~until27(s137)) | xuntil28(s137))),
% 5.44/4.30 inference(quant_inst,[status(thm)],[])).
% 5.44/4.30 tff(19862,plain,
% 5.44/4.30 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s137) | node26(s137) | (~until27(s137))),
% 5.44/4.30 inference(modus_ponens,[status(thm)],[19861, 19860])).
% 5.44/4.30 tff(19863,plain,
% 5.44/4.30 (xuntil28(s137)),
% 5.44/4.30 inference(unit_resolution,[status(thm)],[19862, 17992, 19856, 16988])).
% 5.44/4.30 tff(19864,plain,
% 5.44/4.30 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s137, s138)) | (~xuntil28(s137)) | until27(s138))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s137, s138)) | (~xuntil28(s137)) | until27(s138))),
% 5.44/4.30 inference(rewrite,[status(thm)],[])).
% 5.44/4.30 tff(19865,plain,
% 5.44/4.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s137, s138)) | (~xuntil28(s137)) | until27(s138))),
% 5.44/4.30 inference(quant_inst,[status(thm)],[])).
% 5.44/4.30 tff(19866,plain,
% 5.44/4.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s137, s138)) | (~xuntil28(s137)) | until27(s138)),
% 5.44/4.30 inference(modus_ponens,[status(thm)],[19865, 19864])).
% 5.44/4.30 tff(19867,plain,
% 5.44/4.30 ((~xuntil28(s137)) | until27(s138)),
% 5.44/4.30 inference(unit_resolution,[status(thm)],[19866, 11247, 18010])).
% 5.44/4.30 tff(19868,plain,
% 5.44/4.30 (until27(s138)),
% 5.44/4.30 inference(unit_resolution,[status(thm)],[19867, 19863])).
% 5.44/4.30 tff(19869,plain,
% 5.44/4.30 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s138) | node26(s138) | (~until27(s138)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s138) | node26(s138) | (~until27(s138)))),
% 5.44/4.30 inference(rewrite,[status(thm)],[])).
% 5.44/4.30 tff(19870,plain,
% 5.44/4.30 ((node26(s138) | (~until27(s138)) | xuntil28(s138)) <=> (xuntil28(s138) | node26(s138) | (~until27(s138)))),
% 5.44/4.30 inference(rewrite,[status(thm)],[])).
% 5.44/4.30 tff(19871,plain,
% 5.44/4.30 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s138) | (~until27(s138)) | xuntil28(s138))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s138) | node26(s138) | (~until27(s138))))),
% 5.44/4.30 inference(monotonicity,[status(thm)],[19870])).
% 5.44/4.30 tff(19872,plain,
% 5.44/4.30 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s138) | (~until27(s138)) | xuntil28(s138))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s138) | node26(s138) | (~until27(s138)))),
% 5.44/4.30 inference(transitivity,[status(thm)],[19871, 19869])).
% 5.44/4.30 tff(19873,plain,
% 5.44/4.30 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s138) | (~until27(s138)) | xuntil28(s138))),
% 5.44/4.30 inference(quant_inst,[status(thm)],[])).
% 5.44/4.30 tff(19874,plain,
% 5.44/4.30 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s138) | node26(s138) | (~until27(s138))),
% 5.44/4.30 inference(modus_ponens,[status(thm)],[19873, 19872])).
% 5.44/4.30 tff(19875,plain,
% 5.44/4.30 (xuntil28(s138) | node26(s138)),
% 5.44/4.30 inference(unit_resolution,[status(thm)],[19874, 17992, 19868])).
% 5.44/4.30 tff(19876,plain,
% 5.44/4.30 (xuntil28(s138)),
% 5.44/4.30 inference(unit_resolution,[status(thm)],[19875, 16984])).
% 5.44/4.30 tff(19877,plain,
% 5.44/4.30 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s138, s139)) | (~xuntil28(s138)) | until27(s139))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s138, s139)) | (~xuntil28(s138)) | until27(s139))),
% 5.44/4.30 inference(rewrite,[status(thm)],[])).
% 5.44/4.30 tff(19878,plain,
% 5.44/4.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s138, s139)) | (~xuntil28(s138)) | until27(s139))),
% 5.44/4.30 inference(quant_inst,[status(thm)],[])).
% 5.44/4.30 tff(19879,plain,
% 5.44/4.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s138, s139)) | (~xuntil28(s138)) | until27(s139)),
% 5.44/4.30 inference(modus_ponens,[status(thm)],[19878, 19877])).
% 5.44/4.30 tff(19880,plain,
% 5.44/4.30 ((~xuntil28(s138)) | until27(s139)),
% 5.44/4.30 inference(unit_resolution,[status(thm)],[19879, 11346, 18010])).
% 5.44/4.30 tff(19881,plain,
% 5.44/4.30 (until27(s139)),
% 5.44/4.30 inference(unit_resolution,[status(thm)],[19880, 19876])).
% 5.44/4.30 tff(19882,plain,
% 5.44/4.30 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s139) | node26(s139) | (~until27(s139)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s139) | node26(s139) | (~until27(s139)))),
% 5.44/4.30 inference(rewrite,[status(thm)],[])).
% 5.44/4.30 tff(19883,plain,
% 5.44/4.30 ((node26(s139) | (~until27(s139)) | xuntil28(s139)) <=> (xuntil28(s139) | node26(s139) | (~until27(s139)))),
% 5.44/4.30 inference(rewrite,[status(thm)],[])).
% 5.44/4.30 tff(19884,plain,
% 5.44/4.30 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s139) | (~until27(s139)) | xuntil28(s139))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s139) | node26(s139) | (~until27(s139))))),
% 5.44/4.30 inference(monotonicity,[status(thm)],[19883])).
% 5.44/4.30 tff(19885,plain,
% 5.44/4.30 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s139) | (~until27(s139)) | xuntil28(s139))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s139) | node26(s139) | (~until27(s139)))),
% 5.44/4.30 inference(transitivity,[status(thm)],[19884, 19882])).
% 5.44/4.30 tff(19886,plain,
% 5.44/4.30 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s139) | (~until27(s139)) | xuntil28(s139))),
% 5.44/4.30 inference(quant_inst,[status(thm)],[])).
% 5.44/4.30 tff(19887,plain,
% 5.44/4.30 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s139) | node26(s139) | (~until27(s139))),
% 5.44/4.30 inference(modus_ponens,[status(thm)],[19886, 19885])).
% 5.44/4.30 tff(19888,plain,
% 5.44/4.30 (xuntil28(s139)),
% 5.44/4.30 inference(unit_resolution,[status(thm)],[19887, 17992, 19881, 16975])).
% 5.44/4.30 tff(19889,plain,
% 5.44/4.30 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s139, s140)) | (~xuntil28(s139)) | until27(s140))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s139, s140)) | (~xuntil28(s139)) | until27(s140))),
% 5.44/4.30 inference(rewrite,[status(thm)],[])).
% 5.44/4.30 tff(19890,plain,
% 5.44/4.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s139, s140)) | (~xuntil28(s139)) | until27(s140))),
% 5.44/4.30 inference(quant_inst,[status(thm)],[])).
% 5.44/4.30 tff(19891,plain,
% 5.44/4.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s139, s140)) | (~xuntil28(s139)) | until27(s140)),
% 5.44/4.30 inference(modus_ponens,[status(thm)],[19890, 19889])).
% 5.44/4.30 tff(19892,plain,
% 5.44/4.30 ((~xuntil28(s139)) | until27(s140)),
% 5.44/4.30 inference(unit_resolution,[status(thm)],[19891, 11424, 18010])).
% 5.44/4.30 tff(19893,plain,
% 5.44/4.30 (until27(s140)),
% 5.44/4.30 inference(unit_resolution,[status(thm)],[19892, 19888])).
% 5.44/4.30 tff(19894,plain,
% 5.44/4.30 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s140) | (~node26(s140)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s140) | (~node26(s140)))),
% 5.44/4.30 inference(rewrite,[status(thm)],[])).
% 5.44/4.30 tff(19895,plain,
% 5.44/4.30 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s140) | (~node26(s140)))),
% 5.44/4.30 inference(quant_inst,[status(thm)],[])).
% 5.44/4.30 tff(19896,plain,
% 5.44/4.30 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s140) | (~node26(s140))),
% 5.44/4.30 inference(modus_ponens,[status(thm)],[19895, 19894])).
% 5.44/4.30 tff(19897,plain,
% 5.44/4.30 (~node26(s140)),
% 5.44/4.30 inference(unit_resolution,[status(thm)],[19896, 16500, 16966])).
% 5.44/4.30 tff(19898,plain,
% 5.44/4.30 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s140) | node26(s140) | (~until27(s140)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s140) | node26(s140) | (~until27(s140)))),
% 5.44/4.30 inference(rewrite,[status(thm)],[])).
% 5.44/4.30 tff(19899,plain,
% 5.44/4.30 ((node26(s140) | (~until27(s140)) | xuntil28(s140)) <=> (xuntil28(s140) | node26(s140) | (~until27(s140)))),
% 5.44/4.30 inference(rewrite,[status(thm)],[])).
% 5.44/4.30 tff(19900,plain,
% 5.44/4.30 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s140) | (~until27(s140)) | xuntil28(s140))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s140) | node26(s140) | (~until27(s140))))),
% 5.44/4.30 inference(monotonicity,[status(thm)],[19899])).
% 5.44/4.30 tff(19901,plain,
% 5.44/4.30 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s140) | (~until27(s140)) | xuntil28(s140))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s140) | node26(s140) | (~until27(s140)))),
% 5.44/4.30 inference(transitivity,[status(thm)],[19900, 19898])).
% 5.44/4.30 tff(19902,plain,
% 5.44/4.30 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s140) | (~until27(s140)) | xuntil28(s140))),
% 5.44/4.30 inference(quant_inst,[status(thm)],[])).
% 5.44/4.30 tff(19903,plain,
% 5.44/4.30 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s140) | node26(s140) | (~until27(s140))),
% 5.44/4.30 inference(modus_ponens,[status(thm)],[19902, 19901])).
% 5.44/4.30 tff(19904,plain,
% 5.44/4.30 (xuntil28(s140) | (~until27(s140))),
% 5.44/4.30 inference(unit_resolution,[status(thm)],[19903, 17992, 19897])).
% 5.44/4.30 tff(19905,plain,
% 5.44/4.30 (xuntil28(s140)),
% 5.44/4.30 inference(unit_resolution,[status(thm)],[19904, 19893])).
% 5.44/4.30 tff(19906,plain,
% 5.44/4.30 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s140, s141)) | (~xuntil28(s140)) | until27(s141))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s140, s141)) | (~xuntil28(s140)) | until27(s141))),
% 5.44/4.30 inference(rewrite,[status(thm)],[])).
% 5.44/4.30 tff(19907,plain,
% 5.44/4.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s140, s141)) | (~xuntil28(s140)) | until27(s141))),
% 5.44/4.30 inference(quant_inst,[status(thm)],[])).
% 5.44/4.30 tff(19908,plain,
% 5.44/4.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s140, s141)) | (~xuntil28(s140)) | until27(s141)),
% 5.44/4.30 inference(modus_ponens,[status(thm)],[19907, 19906])).
% 5.44/4.30 tff(19909,plain,
% 5.44/4.30 ((~xuntil28(s140)) | until27(s141)),
% 5.44/4.30 inference(unit_resolution,[status(thm)],[19908, 11485, 18010])).
% 5.44/4.30 tff(19910,plain,
% 5.44/4.30 (until27(s141)),
% 5.44/4.30 inference(unit_resolution,[status(thm)],[19909, 19905])).
% 5.44/4.30 tff(19911,plain,
% 5.44/4.30 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s141) | node26(s141) | (~until27(s141)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s141) | node26(s141) | (~until27(s141)))),
% 5.44/4.30 inference(rewrite,[status(thm)],[])).
% 5.44/4.30 tff(19912,plain,
% 5.44/4.30 ((node26(s141) | (~until27(s141)) | xuntil28(s141)) <=> (xuntil28(s141) | node26(s141) | (~until27(s141)))),
% 5.44/4.30 inference(rewrite,[status(thm)],[])).
% 5.44/4.30 tff(19913,plain,
% 5.44/4.30 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s141) | (~until27(s141)) | xuntil28(s141))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s141) | node26(s141) | (~until27(s141))))),
% 5.44/4.30 inference(monotonicity,[status(thm)],[19912])).
% 5.44/4.30 tff(19914,plain,
% 5.44/4.30 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s141) | (~until27(s141)) | xuntil28(s141))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s141) | node26(s141) | (~until27(s141)))),
% 5.44/4.30 inference(transitivity,[status(thm)],[19913, 19911])).
% 5.44/4.30 tff(19915,plain,
% 5.44/4.30 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s141) | (~until27(s141)) | xuntil28(s141))),
% 5.44/4.30 inference(quant_inst,[status(thm)],[])).
% 5.44/4.30 tff(19916,plain,
% 5.44/4.30 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s141) | node26(s141) | (~until27(s141))),
% 5.44/4.30 inference(modus_ponens,[status(thm)],[19915, 19914])).
% 5.44/4.30 tff(19917,plain,
% 5.44/4.30 (xuntil28(s141)),
% 5.44/4.30 inference(unit_resolution,[status(thm)],[19916, 17992, 19910, 16959])).
% 5.44/4.30 tff(19918,plain,
% 5.44/4.30 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s141, s142)) | (~xuntil28(s141)) | until27(s142))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s141, s142)) | (~xuntil28(s141)) | until27(s142))),
% 5.44/4.30 inference(rewrite,[status(thm)],[])).
% 5.44/4.30 tff(19919,plain,
% 5.44/4.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s141, s142)) | (~xuntil28(s141)) | until27(s142))),
% 5.44/4.30 inference(quant_inst,[status(thm)],[])).
% 5.44/4.30 tff(19920,plain,
% 5.44/4.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s141, s142)) | (~xuntil28(s141)) | until27(s142)),
% 5.44/4.30 inference(modus_ponens,[status(thm)],[19919, 19918])).
% 5.44/4.30 tff(19921,plain,
% 5.44/4.30 ((~xuntil28(s141)) | until27(s142)),
% 5.44/4.30 inference(unit_resolution,[status(thm)],[19920, 11580, 18010])).
% 5.44/4.30 tff(19922,plain,
% 5.44/4.30 (until27(s142)),
% 5.44/4.30 inference(unit_resolution,[status(thm)],[19921, 19917])).
% 5.44/4.30 tff(19923,plain,
% 5.44/4.30 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s142) | node26(s142) | (~until27(s142)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s142) | node26(s142) | (~until27(s142)))),
% 5.44/4.30 inference(rewrite,[status(thm)],[])).
% 5.44/4.30 tff(19924,plain,
% 5.44/4.30 ((node26(s142) | (~until27(s142)) | xuntil28(s142)) <=> (xuntil28(s142) | node26(s142) | (~until27(s142)))),
% 5.44/4.30 inference(rewrite,[status(thm)],[])).
% 5.44/4.30 tff(19925,plain,
% 5.44/4.30 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s142) | (~until27(s142)) | xuntil28(s142))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s142) | node26(s142) | (~until27(s142))))),
% 5.44/4.30 inference(monotonicity,[status(thm)],[19924])).
% 5.44/4.30 tff(19926,plain,
% 5.44/4.30 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s142) | (~until27(s142)) | xuntil28(s142))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s142) | node26(s142) | (~until27(s142)))),
% 5.44/4.30 inference(transitivity,[status(thm)],[19925, 19923])).
% 5.44/4.30 tff(19927,plain,
% 5.44/4.30 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s142) | (~until27(s142)) | xuntil28(s142))),
% 5.44/4.30 inference(quant_inst,[status(thm)],[])).
% 5.44/4.30 tff(19928,plain,
% 5.44/4.30 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s142) | node26(s142) | (~until27(s142))),
% 5.44/4.30 inference(modus_ponens,[status(thm)],[19927, 19926])).
% 5.44/4.30 tff(19929,plain,
% 5.44/4.30 (xuntil28(s142) | node26(s142)),
% 5.44/4.30 inference(unit_resolution,[status(thm)],[19928, 17992, 19922])).
% 5.44/4.30 tff(19930,plain,
% 5.44/4.30 (xuntil28(s142)),
% 5.44/4.30 inference(unit_resolution,[status(thm)],[19929, 16955])).
% 5.44/4.30 tff(19931,plain,
% 5.44/4.30 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s142, s143)) | (~xuntil28(s142)) | until27(s143))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s142, s143)) | (~xuntil28(s142)) | until27(s143))),
% 5.44/4.30 inference(rewrite,[status(thm)],[])).
% 5.44/4.30 tff(19932,plain,
% 5.44/4.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s142, s143)) | (~xuntil28(s142)) | until27(s143))),
% 5.44/4.30 inference(quant_inst,[status(thm)],[])).
% 5.44/4.30 tff(19933,plain,
% 5.44/4.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s142, s143)) | (~xuntil28(s142)) | until27(s143)),
% 5.44/4.30 inference(modus_ponens,[status(thm)],[19932, 19931])).
% 5.44/4.30 tff(19934,plain,
% 5.44/4.30 ((~xuntil28(s142)) | until27(s143)),
% 5.44/4.30 inference(unit_resolution,[status(thm)],[19933, 11644, 18010])).
% 5.44/4.30 tff(19935,plain,
% 5.44/4.30 (until27(s143)),
% 5.44/4.30 inference(unit_resolution,[status(thm)],[19934, 19930])).
% 5.44/4.30 tff(19936,plain,
% 5.44/4.30 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s143) | node26(s143) | (~until27(s143)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s143) | node26(s143) | (~until27(s143)))),
% 5.44/4.30 inference(rewrite,[status(thm)],[])).
% 5.44/4.30 tff(19937,plain,
% 5.44/4.30 ((node26(s143) | (~until27(s143)) | xuntil28(s143)) <=> (xuntil28(s143) | node26(s143) | (~until27(s143)))),
% 5.44/4.30 inference(rewrite,[status(thm)],[])).
% 5.44/4.30 tff(19938,plain,
% 5.44/4.30 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s143) | (~until27(s143)) | xuntil28(s143))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s143) | node26(s143) | (~until27(s143))))),
% 5.44/4.30 inference(monotonicity,[status(thm)],[19937])).
% 5.44/4.30 tff(19939,plain,
% 5.44/4.30 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s143) | (~until27(s143)) | xuntil28(s143))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s143) | node26(s143) | (~until27(s143)))),
% 5.44/4.30 inference(transitivity,[status(thm)],[19938, 19936])).
% 5.44/4.30 tff(19940,plain,
% 5.44/4.30 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s143) | (~until27(s143)) | xuntil28(s143))),
% 5.44/4.30 inference(quant_inst,[status(thm)],[])).
% 5.44/4.30 tff(19941,plain,
% 5.44/4.30 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s143) | node26(s143) | (~until27(s143))),
% 5.44/4.30 inference(modus_ponens,[status(thm)],[19940, 19939])).
% 5.44/4.30 tff(19942,plain,
% 5.44/4.30 (xuntil28(s143)),
% 5.44/4.30 inference(unit_resolution,[status(thm)],[19941, 17992, 19935, 16946])).
% 5.44/4.30 tff(19943,plain,
% 5.44/4.30 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s143, s144)) | (~xuntil28(s143)) | until27(s144))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s143, s144)) | (~xuntil28(s143)) | until27(s144))),
% 5.44/4.30 inference(rewrite,[status(thm)],[])).
% 5.44/4.30 tff(19944,plain,
% 5.44/4.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s143, s144)) | (~xuntil28(s143)) | until27(s144))),
% 5.44/4.30 inference(quant_inst,[status(thm)],[])).
% 5.44/4.30 tff(19945,plain,
% 5.44/4.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s143, s144)) | (~xuntil28(s143)) | until27(s144)),
% 5.44/4.30 inference(modus_ponens,[status(thm)],[19944, 19943])).
% 5.44/4.30 tff(19946,plain,
% 5.44/4.30 ((~xuntil28(s143)) | until27(s144)),
% 5.44/4.30 inference(unit_resolution,[status(thm)],[19945, 11719, 18010])).
% 5.44/4.30 tff(19947,plain,
% 5.44/4.30 (until27(s144)),
% 5.44/4.30 inference(unit_resolution,[status(thm)],[19946, 19942])).
% 5.44/4.30 tff(19948,plain,
% 5.44/4.30 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s144) | (~node26(s144)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s144) | (~node26(s144)))),
% 5.44/4.30 inference(rewrite,[status(thm)],[])).
% 5.44/4.30 tff(19949,plain,
% 5.44/4.30 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s144) | (~node26(s144)))),
% 5.44/4.30 inference(quant_inst,[status(thm)],[])).
% 5.44/4.30 tff(19950,plain,
% 5.44/4.30 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s144) | (~node26(s144))),
% 5.44/4.30 inference(modus_ponens,[status(thm)],[19949, 19948])).
% 5.44/4.30 tff(19951,plain,
% 5.44/4.30 (~node26(s144)),
% 5.44/4.30 inference(unit_resolution,[status(thm)],[19950, 16500, 16937])).
% 5.44/4.30 tff(19952,plain,
% 5.44/4.30 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s144) | node26(s144) | (~until27(s144)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s144) | node26(s144) | (~until27(s144)))),
% 5.44/4.30 inference(rewrite,[status(thm)],[])).
% 5.44/4.30 tff(19953,plain,
% 5.44/4.30 ((node26(s144) | (~until27(s144)) | xuntil28(s144)) <=> (xuntil28(s144) | node26(s144) | (~until27(s144)))),
% 5.44/4.30 inference(rewrite,[status(thm)],[])).
% 5.44/4.30 tff(19954,plain,
% 5.44/4.30 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s144) | (~until27(s144)) | xuntil28(s144))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s144) | node26(s144) | (~until27(s144))))),
% 5.44/4.30 inference(monotonicity,[status(thm)],[19953])).
% 5.44/4.30 tff(19955,plain,
% 5.44/4.30 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s144) | (~until27(s144)) | xuntil28(s144))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s144) | node26(s144) | (~until27(s144)))),
% 5.44/4.30 inference(transitivity,[status(thm)],[19954, 19952])).
% 5.44/4.30 tff(19956,plain,
% 5.44/4.30 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s144) | (~until27(s144)) | xuntil28(s144))),
% 5.44/4.30 inference(quant_inst,[status(thm)],[])).
% 5.44/4.30 tff(19957,plain,
% 5.44/4.30 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s144) | node26(s144) | (~until27(s144))),
% 5.44/4.30 inference(modus_ponens,[status(thm)],[19956, 19955])).
% 5.44/4.30 tff(19958,plain,
% 5.44/4.30 (xuntil28(s144) | (~until27(s144))),
% 5.44/4.30 inference(unit_resolution,[status(thm)],[19957, 17992, 19951])).
% 5.44/4.30 tff(19959,plain,
% 5.44/4.30 (xuntil28(s144)),
% 5.44/4.30 inference(unit_resolution,[status(thm)],[19958, 19947])).
% 5.44/4.30 tff(19960,plain,
% 5.44/4.30 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s144, s145)) | (~xuntil28(s144)) | until27(s145))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s144, s145)) | (~xuntil28(s144)) | until27(s145))),
% 5.44/4.30 inference(rewrite,[status(thm)],[])).
% 5.44/4.30 tff(19961,plain,
% 5.44/4.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s144, s145)) | (~xuntil28(s144)) | until27(s145))),
% 5.44/4.30 inference(quant_inst,[status(thm)],[])).
% 5.44/4.30 tff(19962,plain,
% 5.44/4.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s144, s145)) | (~xuntil28(s144)) | until27(s145)),
% 5.44/4.30 inference(modus_ponens,[status(thm)],[19961, 19960])).
% 5.44/4.30 tff(19963,plain,
% 5.44/4.30 ((~xuntil28(s144)) | until27(s145)),
% 5.44/4.30 inference(unit_resolution,[status(thm)],[19962, 11808, 18010])).
% 5.44/4.30 tff(19964,plain,
% 5.44/4.30 (until27(s145)),
% 5.44/4.30 inference(unit_resolution,[status(thm)],[19963, 19959])).
% 5.44/4.30 tff(19965,plain,
% 5.44/4.30 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s145) | node26(s145) | (~until27(s145)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s145) | node26(s145) | (~until27(s145)))),
% 5.44/4.30 inference(rewrite,[status(thm)],[])).
% 5.44/4.30 tff(19966,plain,
% 5.44/4.30 ((node26(s145) | (~until27(s145)) | xuntil28(s145)) <=> (xuntil28(s145) | node26(s145) | (~until27(s145)))),
% 5.44/4.30 inference(rewrite,[status(thm)],[])).
% 5.44/4.30 tff(19967,plain,
% 5.44/4.30 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s145) | (~until27(s145)) | xuntil28(s145))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s145) | node26(s145) | (~until27(s145))))),
% 5.44/4.30 inference(monotonicity,[status(thm)],[19966])).
% 5.44/4.30 tff(19968,plain,
% 5.44/4.30 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s145) | (~until27(s145)) | xuntil28(s145))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s145) | node26(s145) | (~until27(s145)))),
% 5.44/4.30 inference(transitivity,[status(thm)],[19967, 19965])).
% 5.44/4.30 tff(19969,plain,
% 5.44/4.30 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s145) | (~until27(s145)) | xuntil28(s145))),
% 5.44/4.31 inference(quant_inst,[status(thm)],[])).
% 5.44/4.31 tff(19970,plain,
% 5.44/4.31 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s145) | node26(s145) | (~until27(s145))),
% 5.44/4.31 inference(modus_ponens,[status(thm)],[19969, 19968])).
% 5.44/4.31 tff(19971,plain,
% 5.44/4.31 (xuntil28(s145)),
% 5.44/4.31 inference(unit_resolution,[status(thm)],[19970, 17992, 19964, 16930])).
% 5.44/4.31 tff(19972,plain,
% 5.44/4.31 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s145, s146)) | (~xuntil28(s145)) | until27(s146))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s145, s146)) | (~xuntil28(s145)) | until27(s146))),
% 5.44/4.31 inference(rewrite,[status(thm)],[])).
% 5.44/4.31 tff(19973,plain,
% 5.44/4.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s145, s146)) | (~xuntil28(s145)) | until27(s146))),
% 5.44/4.31 inference(quant_inst,[status(thm)],[])).
% 5.44/4.31 tff(19974,plain,
% 5.44/4.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s145, s146)) | (~xuntil28(s145)) | until27(s146)),
% 5.44/4.31 inference(modus_ponens,[status(thm)],[19973, 19972])).
% 5.44/4.31 tff(19975,plain,
% 5.44/4.31 ((~xuntil28(s145)) | until27(s146)),
% 5.44/4.31 inference(unit_resolution,[status(thm)],[19974, 11875, 18010])).
% 5.44/4.31 tff(19976,plain,
% 5.44/4.31 (until27(s146)),
% 5.44/4.31 inference(unit_resolution,[status(thm)],[19975, 19971])).
% 5.44/4.31 tff(19977,plain,
% 5.44/4.31 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s146) | node26(s146) | (~until27(s146)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s146) | node26(s146) | (~until27(s146)))),
% 5.44/4.31 inference(rewrite,[status(thm)],[])).
% 5.44/4.31 tff(19978,plain,
% 5.44/4.31 ((node26(s146) | (~until27(s146)) | xuntil28(s146)) <=> (xuntil28(s146) | node26(s146) | (~until27(s146)))),
% 5.44/4.31 inference(rewrite,[status(thm)],[])).
% 5.44/4.31 tff(19979,plain,
% 5.44/4.31 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s146) | (~until27(s146)) | xuntil28(s146))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s146) | node26(s146) | (~until27(s146))))),
% 5.44/4.31 inference(monotonicity,[status(thm)],[19978])).
% 5.44/4.31 tff(19980,plain,
% 5.44/4.31 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s146) | (~until27(s146)) | xuntil28(s146))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s146) | node26(s146) | (~until27(s146)))),
% 5.44/4.31 inference(transitivity,[status(thm)],[19979, 19977])).
% 5.44/4.31 tff(19981,plain,
% 5.44/4.31 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s146) | (~until27(s146)) | xuntil28(s146))),
% 5.44/4.31 inference(quant_inst,[status(thm)],[])).
% 5.44/4.31 tff(19982,plain,
% 5.44/4.31 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s146) | node26(s146) | (~until27(s146))),
% 5.44/4.31 inference(modus_ponens,[status(thm)],[19981, 19980])).
% 5.44/4.31 tff(19983,plain,
% 5.44/4.31 (xuntil28(s146) | node26(s146)),
% 5.44/4.31 inference(unit_resolution,[status(thm)],[19982, 17992, 19976])).
% 5.44/4.31 tff(19984,plain,
% 5.44/4.31 (xuntil28(s146)),
% 5.44/4.31 inference(unit_resolution,[status(thm)],[19983, 16926])).
% 5.44/4.31 tff(19985,plain,
% 5.44/4.31 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s146, s147)) | (~xuntil28(s146)) | until27(s147))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s146, s147)) | (~xuntil28(s146)) | until27(s147))),
% 5.44/4.31 inference(rewrite,[status(thm)],[])).
% 5.44/4.31 tff(19986,plain,
% 5.44/4.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s146, s147)) | (~xuntil28(s146)) | until27(s147))),
% 5.44/4.31 inference(quant_inst,[status(thm)],[])).
% 5.44/4.31 tff(19987,plain,
% 5.44/4.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s146, s147)) | (~xuntil28(s146)) | until27(s147)),
% 5.44/4.31 inference(modus_ponens,[status(thm)],[19986, 19985])).
% 5.44/4.31 tff(19988,plain,
% 5.44/4.31 ((~xuntil28(s146)) | until27(s147)),
% 5.44/4.31 inference(unit_resolution,[status(thm)],[19987, 11974, 18010])).
% 5.44/4.31 tff(19989,plain,
% 5.44/4.31 (until27(s147)),
% 5.44/4.31 inference(unit_resolution,[status(thm)],[19988, 19984])).
% 5.44/4.31 tff(19990,plain,
% 5.44/4.31 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s147) | node26(s147) | (~until27(s147)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s147) | node26(s147) | (~until27(s147)))),
% 5.44/4.31 inference(rewrite,[status(thm)],[])).
% 5.44/4.31 tff(19991,plain,
% 5.44/4.31 ((node26(s147) | (~until27(s147)) | xuntil28(s147)) <=> (xuntil28(s147) | node26(s147) | (~until27(s147)))),
% 5.44/4.31 inference(rewrite,[status(thm)],[])).
% 5.44/4.31 tff(19992,plain,
% 5.44/4.31 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s147) | (~until27(s147)) | xuntil28(s147))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s147) | node26(s147) | (~until27(s147))))),
% 5.44/4.31 inference(monotonicity,[status(thm)],[19991])).
% 5.44/4.31 tff(19993,plain,
% 5.44/4.31 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s147) | (~until27(s147)) | xuntil28(s147))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s147) | node26(s147) | (~until27(s147)))),
% 5.44/4.31 inference(transitivity,[status(thm)],[19992, 19990])).
% 5.44/4.31 tff(19994,plain,
% 5.44/4.31 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s147) | (~until27(s147)) | xuntil28(s147))),
% 5.44/4.31 inference(quant_inst,[status(thm)],[])).
% 5.44/4.31 tff(19995,plain,
% 5.44/4.31 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s147) | node26(s147) | (~until27(s147))),
% 5.44/4.31 inference(modus_ponens,[status(thm)],[19994, 19993])).
% 5.44/4.31 tff(19996,plain,
% 5.44/4.31 (xuntil28(s147)),
% 5.44/4.31 inference(unit_resolution,[status(thm)],[19995, 17992, 19989, 16917])).
% 5.44/4.31 tff(19997,plain,
% 5.44/4.31 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s147, s148)) | (~xuntil28(s147)) | until27(s148))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s147, s148)) | (~xuntil28(s147)) | until27(s148))),
% 5.44/4.31 inference(rewrite,[status(thm)],[])).
% 5.44/4.31 tff(19998,plain,
% 5.44/4.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s147, s148)) | (~xuntil28(s147)) | until27(s148))),
% 5.44/4.31 inference(quant_inst,[status(thm)],[])).
% 5.44/4.31 tff(19999,plain,
% 5.44/4.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s147, s148)) | (~xuntil28(s147)) | until27(s148)),
% 5.44/4.31 inference(modus_ponens,[status(thm)],[19998, 19997])).
% 5.44/4.31 tff(20000,plain,
% 5.44/4.31 ((~xuntil28(s147)) | until27(s148)),
% 5.44/4.31 inference(unit_resolution,[status(thm)],[19999, 12052, 18010])).
% 5.44/4.31 tff(20001,plain,
% 5.44/4.31 (until27(s148)),
% 5.44/4.31 inference(unit_resolution,[status(thm)],[20000, 19996])).
% 5.44/4.31 tff(20002,plain,
% 5.44/4.31 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s148) | (~node26(s148)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s148) | (~node26(s148)))),
% 5.44/4.31 inference(rewrite,[status(thm)],[])).
% 5.44/4.31 tff(20003,plain,
% 5.44/4.31 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s148) | (~node26(s148)))),
% 5.44/4.31 inference(quant_inst,[status(thm)],[])).
% 5.44/4.31 tff(20004,plain,
% 5.44/4.31 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s148) | (~node26(s148))),
% 5.44/4.31 inference(modus_ponens,[status(thm)],[20003, 20002])).
% 5.44/4.31 tff(20005,plain,
% 5.44/4.31 (~node26(s148)),
% 5.44/4.31 inference(unit_resolution,[status(thm)],[20004, 16500, 16908])).
% 5.44/4.31 tff(20006,plain,
% 5.44/4.31 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s148) | node26(s148) | (~until27(s148)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s148) | node26(s148) | (~until27(s148)))),
% 5.44/4.31 inference(rewrite,[status(thm)],[])).
% 5.44/4.31 tff(20007,plain,
% 5.44/4.31 ((node26(s148) | (~until27(s148)) | xuntil28(s148)) <=> (xuntil28(s148) | node26(s148) | (~until27(s148)))),
% 5.44/4.31 inference(rewrite,[status(thm)],[])).
% 5.44/4.31 tff(20008,plain,
% 5.44/4.31 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s148) | (~until27(s148)) | xuntil28(s148))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s148) | node26(s148) | (~until27(s148))))),
% 5.44/4.31 inference(monotonicity,[status(thm)],[20007])).
% 5.44/4.31 tff(20009,plain,
% 5.44/4.31 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s148) | (~until27(s148)) | xuntil28(s148))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s148) | node26(s148) | (~until27(s148)))),
% 5.44/4.31 inference(transitivity,[status(thm)],[20008, 20006])).
% 5.44/4.31 tff(20010,plain,
% 5.44/4.31 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s148) | (~until27(s148)) | xuntil28(s148))),
% 5.44/4.31 inference(quant_inst,[status(thm)],[])).
% 5.44/4.31 tff(20011,plain,
% 5.44/4.31 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s148) | node26(s148) | (~until27(s148))),
% 5.44/4.31 inference(modus_ponens,[status(thm)],[20010, 20009])).
% 5.44/4.31 tff(20012,plain,
% 5.44/4.31 (xuntil28(s148) | (~until27(s148))),
% 5.44/4.31 inference(unit_resolution,[status(thm)],[20011, 17992, 20005])).
% 5.44/4.31 tff(20013,plain,
% 5.44/4.31 (xuntil28(s148)),
% 5.44/4.31 inference(unit_resolution,[status(thm)],[20012, 20001])).
% 5.44/4.31 tff(20014,plain,
% 5.44/4.31 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s148, s149)) | (~xuntil28(s148)) | until27(s149))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s148, s149)) | (~xuntil28(s148)) | until27(s149))),
% 5.44/4.31 inference(rewrite,[status(thm)],[])).
% 5.44/4.31 tff(20015,plain,
% 5.44/4.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s148, s149)) | (~xuntil28(s148)) | until27(s149))),
% 5.44/4.31 inference(quant_inst,[status(thm)],[])).
% 5.44/4.31 tff(20016,plain,
% 5.44/4.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s148, s149)) | (~xuntil28(s148)) | until27(s149)),
% 5.44/4.31 inference(modus_ponens,[status(thm)],[20015, 20014])).
% 5.44/4.31 tff(20017,plain,
% 5.44/4.31 ((~xuntil28(s148)) | until27(s149)),
% 5.44/4.31 inference(unit_resolution,[status(thm)],[20016, 12113, 18010])).
% 5.44/4.31 tff(20018,plain,
% 5.44/4.31 (until27(s149)),
% 5.44/4.31 inference(unit_resolution,[status(thm)],[20017, 20013])).
% 5.44/4.31 tff(20019,plain,
% 5.44/4.31 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s149) | node26(s149) | (~until27(s149)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s149) | node26(s149) | (~until27(s149)))),
% 5.44/4.31 inference(rewrite,[status(thm)],[])).
% 5.44/4.31 tff(20020,plain,
% 5.44/4.31 ((node26(s149) | (~until27(s149)) | xuntil28(s149)) <=> (xuntil28(s149) | node26(s149) | (~until27(s149)))),
% 5.44/4.31 inference(rewrite,[status(thm)],[])).
% 5.44/4.31 tff(20021,plain,
% 5.44/4.31 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s149) | (~until27(s149)) | xuntil28(s149))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s149) | node26(s149) | (~until27(s149))))),
% 5.44/4.31 inference(monotonicity,[status(thm)],[20020])).
% 5.44/4.31 tff(20022,plain,
% 5.44/4.31 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s149) | (~until27(s149)) | xuntil28(s149))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s149) | node26(s149) | (~until27(s149)))),
% 5.44/4.31 inference(transitivity,[status(thm)],[20021, 20019])).
% 5.44/4.31 tff(20023,plain,
% 5.44/4.31 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s149) | (~until27(s149)) | xuntil28(s149))),
% 5.44/4.31 inference(quant_inst,[status(thm)],[])).
% 5.44/4.31 tff(20024,plain,
% 5.44/4.31 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s149) | node26(s149) | (~until27(s149))),
% 5.44/4.31 inference(modus_ponens,[status(thm)],[20023, 20022])).
% 5.44/4.31 tff(20025,plain,
% 5.44/4.31 (xuntil28(s149)),
% 5.44/4.31 inference(unit_resolution,[status(thm)],[20024, 17992, 20018, 16901])).
% 5.44/4.31 tff(20026,plain,
% 5.44/4.31 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s149, s150)) | (~xuntil28(s149)) | until27(s150))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s149, s150)) | (~xuntil28(s149)) | until27(s150))),
% 5.44/4.31 inference(rewrite,[status(thm)],[])).
% 5.44/4.31 tff(20027,plain,
% 5.44/4.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s149, s150)) | (~xuntil28(s149)) | until27(s150))),
% 5.44/4.31 inference(quant_inst,[status(thm)],[])).
% 5.44/4.31 tff(20028,plain,
% 5.44/4.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s149, s150)) | (~xuntil28(s149)) | until27(s150)),
% 5.44/4.31 inference(modus_ponens,[status(thm)],[20027, 20026])).
% 5.44/4.31 tff(20029,plain,
% 5.44/4.31 ((~xuntil28(s149)) | until27(s150)),
% 5.44/4.31 inference(unit_resolution,[status(thm)],[20028, 12208, 18010])).
% 5.44/4.31 tff(20030,plain,
% 5.44/4.31 (until27(s150)),
% 5.44/4.31 inference(unit_resolution,[status(thm)],[20029, 20025])).
% 5.44/4.31 tff(20031,plain,
% 5.44/4.31 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s150) | node26(s150) | (~until27(s150)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s150) | node26(s150) | (~until27(s150)))),
% 5.44/4.31 inference(rewrite,[status(thm)],[])).
% 5.44/4.31 tff(20032,plain,
% 5.44/4.31 ((node26(s150) | (~until27(s150)) | xuntil28(s150)) <=> (xuntil28(s150) | node26(s150) | (~until27(s150)))),
% 5.44/4.31 inference(rewrite,[status(thm)],[])).
% 5.44/4.31 tff(20033,plain,
% 5.44/4.31 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s150) | (~until27(s150)) | xuntil28(s150))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s150) | node26(s150) | (~until27(s150))))),
% 5.44/4.31 inference(monotonicity,[status(thm)],[20032])).
% 5.44/4.31 tff(20034,plain,
% 5.44/4.31 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s150) | (~until27(s150)) | xuntil28(s150))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s150) | node26(s150) | (~until27(s150)))),
% 5.44/4.31 inference(transitivity,[status(thm)],[20033, 20031])).
% 5.44/4.31 tff(20035,plain,
% 5.44/4.31 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s150) | (~until27(s150)) | xuntil28(s150))),
% 5.44/4.31 inference(quant_inst,[status(thm)],[])).
% 5.44/4.31 tff(20036,plain,
% 5.44/4.31 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s150) | node26(s150) | (~until27(s150))),
% 5.44/4.31 inference(modus_ponens,[status(thm)],[20035, 20034])).
% 5.44/4.31 tff(20037,plain,
% 5.44/4.31 (xuntil28(s150) | node26(s150)),
% 5.44/4.31 inference(unit_resolution,[status(thm)],[20036, 17992, 20030])).
% 5.44/4.31 tff(20038,plain,
% 5.44/4.31 (xuntil28(s150)),
% 5.44/4.31 inference(unit_resolution,[status(thm)],[20037, 16897])).
% 5.44/4.31 tff(20039,plain,
% 5.44/4.31 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s150, s151)) | (~xuntil28(s150)) | until27(s151))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s150, s151)) | (~xuntil28(s150)) | until27(s151))),
% 5.44/4.31 inference(rewrite,[status(thm)],[])).
% 5.44/4.31 tff(20040,plain,
% 5.44/4.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s150, s151)) | (~xuntil28(s150)) | until27(s151))),
% 5.44/4.31 inference(quant_inst,[status(thm)],[])).
% 5.44/4.31 tff(20041,plain,
% 5.44/4.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s150, s151)) | (~xuntil28(s150)) | until27(s151)),
% 5.44/4.31 inference(modus_ponens,[status(thm)],[20040, 20039])).
% 5.44/4.31 tff(20042,plain,
% 5.44/4.31 ((~xuntil28(s150)) | until27(s151)),
% 5.44/4.31 inference(unit_resolution,[status(thm)],[20041, 12272, 18010])).
% 5.44/4.31 tff(20043,plain,
% 5.44/4.31 (until27(s151)),
% 5.44/4.31 inference(unit_resolution,[status(thm)],[20042, 20038])).
% 5.44/4.31 tff(20044,plain,
% 5.44/4.31 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s151) | node26(s151) | (~until27(s151)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s151) | node26(s151) | (~until27(s151)))),
% 5.44/4.31 inference(rewrite,[status(thm)],[])).
% 5.44/4.31 tff(20045,plain,
% 5.44/4.31 ((node26(s151) | (~until27(s151)) | xuntil28(s151)) <=> (xuntil28(s151) | node26(s151) | (~until27(s151)))),
% 5.44/4.31 inference(rewrite,[status(thm)],[])).
% 5.44/4.31 tff(20046,plain,
% 5.44/4.31 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s151) | (~until27(s151)) | xuntil28(s151))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s151) | node26(s151) | (~until27(s151))))),
% 5.44/4.31 inference(monotonicity,[status(thm)],[20045])).
% 5.44/4.31 tff(20047,plain,
% 5.44/4.31 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s151) | (~until27(s151)) | xuntil28(s151))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s151) | node26(s151) | (~until27(s151)))),
% 5.44/4.31 inference(transitivity,[status(thm)],[20046, 20044])).
% 5.44/4.31 tff(20048,plain,
% 5.44/4.31 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s151) | (~until27(s151)) | xuntil28(s151))),
% 5.44/4.31 inference(quant_inst,[status(thm)],[])).
% 5.44/4.31 tff(20049,plain,
% 5.44/4.31 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s151) | node26(s151) | (~until27(s151))),
% 5.44/4.31 inference(modus_ponens,[status(thm)],[20048, 20047])).
% 5.44/4.31 tff(20050,plain,
% 5.44/4.31 (xuntil28(s151)),
% 5.44/4.31 inference(unit_resolution,[status(thm)],[20049, 17992, 20043, 16888])).
% 5.44/4.31 tff(20051,plain,
% 5.44/4.31 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s151, s152)) | (~xuntil28(s151)) | until27(s152))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s151, s152)) | (~xuntil28(s151)) | until27(s152))),
% 5.44/4.31 inference(rewrite,[status(thm)],[])).
% 5.44/4.31 tff(20052,plain,
% 5.44/4.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s151, s152)) | (~xuntil28(s151)) | until27(s152))),
% 5.44/4.31 inference(quant_inst,[status(thm)],[])).
% 5.44/4.31 tff(20053,plain,
% 5.44/4.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s151, s152)) | (~xuntil28(s151)) | until27(s152)),
% 5.44/4.31 inference(modus_ponens,[status(thm)],[20052, 20051])).
% 5.44/4.31 tff(20054,plain,
% 5.44/4.31 ((~xuntil28(s151)) | until27(s152)),
% 5.44/4.31 inference(unit_resolution,[status(thm)],[20053, 12347, 18010])).
% 5.44/4.31 tff(20055,plain,
% 5.44/4.31 (until27(s152)),
% 5.44/4.31 inference(unit_resolution,[status(thm)],[20054, 20050])).
% 5.44/4.31 tff(20056,plain,
% 5.44/4.31 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s152) | (~node26(s152)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s152) | (~node26(s152)))),
% 5.44/4.31 inference(rewrite,[status(thm)],[])).
% 5.44/4.31 tff(20057,plain,
% 5.44/4.31 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s152) | (~node26(s152)))),
% 5.44/4.31 inference(quant_inst,[status(thm)],[])).
% 5.44/4.31 tff(20058,plain,
% 5.44/4.31 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s152) | (~node26(s152))),
% 5.44/4.31 inference(modus_ponens,[status(thm)],[20057, 20056])).
% 5.44/4.31 tff(20059,plain,
% 5.44/4.31 (~node26(s152)),
% 5.44/4.31 inference(unit_resolution,[status(thm)],[20058, 16500, 16879])).
% 5.44/4.31 tff(20060,plain,
% 5.44/4.31 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s152) | node26(s152) | (~until27(s152)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s152) | node26(s152) | (~until27(s152)))),
% 5.44/4.31 inference(rewrite,[status(thm)],[])).
% 5.44/4.31 tff(20061,plain,
% 5.44/4.31 ((node26(s152) | (~until27(s152)) | xuntil28(s152)) <=> (xuntil28(s152) | node26(s152) | (~until27(s152)))),
% 5.44/4.31 inference(rewrite,[status(thm)],[])).
% 5.44/4.31 tff(20062,plain,
% 5.44/4.31 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s152) | (~until27(s152)) | xuntil28(s152))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s152) | node26(s152) | (~until27(s152))))),
% 5.44/4.31 inference(monotonicity,[status(thm)],[20061])).
% 5.44/4.31 tff(20063,plain,
% 5.44/4.31 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s152) | (~until27(s152)) | xuntil28(s152))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s152) | node26(s152) | (~until27(s152)))),
% 5.44/4.31 inference(transitivity,[status(thm)],[20062, 20060])).
% 5.44/4.31 tff(20064,plain,
% 5.44/4.31 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s152) | (~until27(s152)) | xuntil28(s152))),
% 5.44/4.31 inference(quant_inst,[status(thm)],[])).
% 5.44/4.31 tff(20065,plain,
% 5.44/4.31 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s152) | node26(s152) | (~until27(s152))),
% 5.44/4.31 inference(modus_ponens,[status(thm)],[20064, 20063])).
% 5.44/4.31 tff(20066,plain,
% 5.44/4.31 (xuntil28(s152) | (~until27(s152))),
% 5.44/4.31 inference(unit_resolution,[status(thm)],[20065, 17992, 20059])).
% 5.44/4.31 tff(20067,plain,
% 5.44/4.31 (xuntil28(s152)),
% 5.44/4.31 inference(unit_resolution,[status(thm)],[20066, 20055])).
% 5.44/4.31 tff(20068,plain,
% 5.44/4.31 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s152, s153)) | (~xuntil28(s152)) | until27(s153))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s152, s153)) | (~xuntil28(s152)) | until27(s153))),
% 5.44/4.31 inference(rewrite,[status(thm)],[])).
% 5.44/4.31 tff(20069,plain,
% 5.44/4.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s152, s153)) | (~xuntil28(s152)) | until27(s153))),
% 5.44/4.31 inference(quant_inst,[status(thm)],[])).
% 5.44/4.31 tff(20070,plain,
% 5.44/4.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s152, s153)) | (~xuntil28(s152)) | until27(s153)),
% 5.44/4.31 inference(modus_ponens,[status(thm)],[20069, 20068])).
% 5.44/4.31 tff(20071,plain,
% 5.44/4.31 ((~xuntil28(s152)) | until27(s153)),
% 5.44/4.31 inference(unit_resolution,[status(thm)],[20070, 12436, 18010])).
% 5.44/4.31 tff(20072,plain,
% 5.44/4.31 (until27(s153)),
% 5.44/4.31 inference(unit_resolution,[status(thm)],[20071, 20067])).
% 5.44/4.31 tff(20073,plain,
% 5.44/4.31 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s153) | node26(s153) | (~until27(s153)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s153) | node26(s153) | (~until27(s153)))),
% 5.44/4.31 inference(rewrite,[status(thm)],[])).
% 5.44/4.31 tff(20074,plain,
% 5.44/4.31 ((node26(s153) | (~until27(s153)) | xuntil28(s153)) <=> (xuntil28(s153) | node26(s153) | (~until27(s153)))),
% 5.44/4.31 inference(rewrite,[status(thm)],[])).
% 5.44/4.31 tff(20075,plain,
% 5.44/4.31 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s153) | (~until27(s153)) | xuntil28(s153))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s153) | node26(s153) | (~until27(s153))))),
% 5.44/4.31 inference(monotonicity,[status(thm)],[20074])).
% 5.44/4.31 tff(20076,plain,
% 5.44/4.31 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s153) | (~until27(s153)) | xuntil28(s153))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s153) | node26(s153) | (~until27(s153)))),
% 5.44/4.31 inference(transitivity,[status(thm)],[20075, 20073])).
% 5.44/4.31 tff(20077,plain,
% 5.44/4.31 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s153) | (~until27(s153)) | xuntil28(s153))),
% 5.44/4.31 inference(quant_inst,[status(thm)],[])).
% 5.44/4.31 tff(20078,plain,
% 5.44/4.31 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s153) | node26(s153) | (~until27(s153))),
% 5.44/4.31 inference(modus_ponens,[status(thm)],[20077, 20076])).
% 5.44/4.31 tff(20079,plain,
% 5.44/4.31 (xuntil28(s153)),
% 5.44/4.31 inference(unit_resolution,[status(thm)],[20078, 17992, 20072, 16872])).
% 5.44/4.31 tff(20080,plain,
% 5.44/4.31 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s153, s154)) | (~xuntil28(s153)) | until27(s154))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s153, s154)) | (~xuntil28(s153)) | until27(s154))),
% 5.44/4.31 inference(rewrite,[status(thm)],[])).
% 5.44/4.31 tff(20081,plain,
% 5.44/4.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s153, s154)) | (~xuntil28(s153)) | until27(s154))),
% 5.44/4.31 inference(quant_inst,[status(thm)],[])).
% 5.44/4.31 tff(20082,plain,
% 5.44/4.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s153, s154)) | (~xuntil28(s153)) | until27(s154)),
% 5.44/4.31 inference(modus_ponens,[status(thm)],[20081, 20080])).
% 5.44/4.31 tff(20083,plain,
% 5.44/4.31 ((~xuntil28(s153)) | until27(s154)),
% 5.44/4.31 inference(unit_resolution,[status(thm)],[20082, 12503, 18010])).
% 5.44/4.31 tff(20084,plain,
% 5.44/4.31 (until27(s154)),
% 5.44/4.31 inference(unit_resolution,[status(thm)],[20083, 20079])).
% 5.44/4.31 tff(20085,plain,
% 5.44/4.31 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s154) | node26(s154) | (~until27(s154)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s154) | node26(s154) | (~until27(s154)))),
% 5.44/4.31 inference(rewrite,[status(thm)],[])).
% 5.44/4.31 tff(20086,plain,
% 5.44/4.31 ((node26(s154) | (~until27(s154)) | xuntil28(s154)) <=> (xuntil28(s154) | node26(s154) | (~until27(s154)))),
% 5.44/4.31 inference(rewrite,[status(thm)],[])).
% 5.44/4.31 tff(20087,plain,
% 5.44/4.31 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s154) | (~until27(s154)) | xuntil28(s154))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s154) | node26(s154) | (~until27(s154))))),
% 5.44/4.31 inference(monotonicity,[status(thm)],[20086])).
% 5.44/4.31 tff(20088,plain,
% 5.44/4.31 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s154) | (~until27(s154)) | xuntil28(s154))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s154) | node26(s154) | (~until27(s154)))),
% 5.44/4.31 inference(transitivity,[status(thm)],[20087, 20085])).
% 5.44/4.31 tff(20089,plain,
% 5.44/4.31 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s154) | (~until27(s154)) | xuntil28(s154))),
% 5.44/4.31 inference(quant_inst,[status(thm)],[])).
% 5.44/4.31 tff(20090,plain,
% 5.44/4.31 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s154) | node26(s154) | (~until27(s154))),
% 5.44/4.31 inference(modus_ponens,[status(thm)],[20089, 20088])).
% 5.44/4.31 tff(20091,plain,
% 5.44/4.31 (xuntil28(s154) | node26(s154)),
% 5.44/4.31 inference(unit_resolution,[status(thm)],[20090, 17992, 20084])).
% 5.44/4.31 tff(20092,plain,
% 5.44/4.31 (xuntil28(s154)),
% 5.44/4.31 inference(unit_resolution,[status(thm)],[20091, 16868])).
% 5.44/4.31 tff(20093,plain,
% 5.44/4.31 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s154, s155)) | (~xuntil28(s154)) | until27(s155))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s154, s155)) | (~xuntil28(s154)) | until27(s155))),
% 5.44/4.31 inference(rewrite,[status(thm)],[])).
% 5.44/4.31 tff(20094,plain,
% 5.44/4.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s154, s155)) | (~xuntil28(s154)) | until27(s155))),
% 5.44/4.31 inference(quant_inst,[status(thm)],[])).
% 5.44/4.31 tff(20095,plain,
% 5.44/4.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s154, s155)) | (~xuntil28(s154)) | until27(s155)),
% 5.44/4.31 inference(modus_ponens,[status(thm)],[20094, 20093])).
% 5.44/4.31 tff(20096,plain,
% 5.44/4.31 ((~xuntil28(s154)) | until27(s155)),
% 5.44/4.31 inference(unit_resolution,[status(thm)],[20095, 12602, 18010])).
% 5.44/4.31 tff(20097,plain,
% 5.44/4.31 (until27(s155)),
% 5.44/4.31 inference(unit_resolution,[status(thm)],[20096, 20092])).
% 5.44/4.31 tff(20098,plain,
% 5.44/4.31 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s155) | node26(s155) | (~until27(s155)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s155) | node26(s155) | (~until27(s155)))),
% 5.44/4.31 inference(rewrite,[status(thm)],[])).
% 5.44/4.31 tff(20099,plain,
% 5.44/4.31 ((node26(s155) | (~until27(s155)) | xuntil28(s155)) <=> (xuntil28(s155) | node26(s155) | (~until27(s155)))),
% 5.44/4.31 inference(rewrite,[status(thm)],[])).
% 5.44/4.31 tff(20100,plain,
% 5.44/4.31 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s155) | (~until27(s155)) | xuntil28(s155))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s155) | node26(s155) | (~until27(s155))))),
% 5.44/4.31 inference(monotonicity,[status(thm)],[20099])).
% 5.44/4.31 tff(20101,plain,
% 5.44/4.31 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s155) | (~until27(s155)) | xuntil28(s155))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s155) | node26(s155) | (~until27(s155)))),
% 5.44/4.31 inference(transitivity,[status(thm)],[20100, 20098])).
% 5.44/4.31 tff(20102,plain,
% 5.44/4.31 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s155) | (~until27(s155)) | xuntil28(s155))),
% 5.44/4.31 inference(quant_inst,[status(thm)],[])).
% 5.44/4.31 tff(20103,plain,
% 5.44/4.31 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s155) | node26(s155) | (~until27(s155))),
% 5.44/4.31 inference(modus_ponens,[status(thm)],[20102, 20101])).
% 5.44/4.31 tff(20104,plain,
% 5.44/4.31 (xuntil28(s155)),
% 5.44/4.31 inference(unit_resolution,[status(thm)],[20103, 17992, 20097, 16859])).
% 5.44/4.31 tff(20105,plain,
% 5.44/4.31 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s155, s156)) | (~xuntil28(s155)) | until27(s156))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s155, s156)) | (~xuntil28(s155)) | until27(s156))),
% 5.44/4.31 inference(rewrite,[status(thm)],[])).
% 5.44/4.31 tff(20106,plain,
% 5.44/4.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s155, s156)) | (~xuntil28(s155)) | until27(s156))),
% 5.44/4.31 inference(quant_inst,[status(thm)],[])).
% 5.44/4.31 tff(20107,plain,
% 5.44/4.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s155, s156)) | (~xuntil28(s155)) | until27(s156)),
% 5.44/4.31 inference(modus_ponens,[status(thm)],[20106, 20105])).
% 5.44/4.31 tff(20108,plain,
% 5.44/4.31 ((~xuntil28(s155)) | until27(s156)),
% 5.44/4.31 inference(unit_resolution,[status(thm)],[20107, 12680, 18010])).
% 5.44/4.31 tff(20109,plain,
% 5.44/4.31 (until27(s156)),
% 5.44/4.31 inference(unit_resolution,[status(thm)],[20108, 20104])).
% 5.44/4.31 tff(20110,plain,
% 5.44/4.31 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s156) | (~node26(s156)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s156) | (~node26(s156)))),
% 5.44/4.31 inference(rewrite,[status(thm)],[])).
% 5.44/4.31 tff(20111,plain,
% 5.44/4.31 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s156) | (~node26(s156)))),
% 5.44/4.31 inference(quant_inst,[status(thm)],[])).
% 5.44/4.31 tff(20112,plain,
% 5.44/4.31 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s156) | (~node26(s156))),
% 5.44/4.31 inference(modus_ponens,[status(thm)],[20111, 20110])).
% 5.44/4.31 tff(20113,plain,
% 5.44/4.31 (~node26(s156)),
% 5.44/4.31 inference(unit_resolution,[status(thm)],[20112, 16500, 16850])).
% 5.44/4.31 tff(20114,plain,
% 5.44/4.31 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s156) | node26(s156) | (~until27(s156)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s156) | node26(s156) | (~until27(s156)))),
% 5.44/4.31 inference(rewrite,[status(thm)],[])).
% 5.44/4.31 tff(20115,plain,
% 5.44/4.31 ((node26(s156) | (~until27(s156)) | xuntil28(s156)) <=> (xuntil28(s156) | node26(s156) | (~until27(s156)))),
% 5.44/4.31 inference(rewrite,[status(thm)],[])).
% 5.44/4.31 tff(20116,plain,
% 5.44/4.31 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s156) | (~until27(s156)) | xuntil28(s156))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s156) | node26(s156) | (~until27(s156))))),
% 5.44/4.31 inference(monotonicity,[status(thm)],[20115])).
% 5.44/4.31 tff(20117,plain,
% 5.44/4.31 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s156) | (~until27(s156)) | xuntil28(s156))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s156) | node26(s156) | (~until27(s156)))),
% 5.44/4.31 inference(transitivity,[status(thm)],[20116, 20114])).
% 5.44/4.31 tff(20118,plain,
% 5.44/4.31 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s156) | (~until27(s156)) | xuntil28(s156))),
% 5.44/4.31 inference(quant_inst,[status(thm)],[])).
% 5.44/4.31 tff(20119,plain,
% 5.44/4.31 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s156) | node26(s156) | (~until27(s156))),
% 5.44/4.31 inference(modus_ponens,[status(thm)],[20118, 20117])).
% 5.44/4.31 tff(20120,plain,
% 5.44/4.31 (xuntil28(s156) | (~until27(s156))),
% 5.44/4.31 inference(unit_resolution,[status(thm)],[20119, 17992, 20113])).
% 5.44/4.31 tff(20121,plain,
% 5.44/4.31 (xuntil28(s156)),
% 5.44/4.31 inference(unit_resolution,[status(thm)],[20120, 20109])).
% 5.44/4.31 tff(20122,plain,
% 5.44/4.31 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s156, s157)) | (~xuntil28(s156)) | until27(s157))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s156, s157)) | (~xuntil28(s156)) | until27(s157))),
% 5.44/4.31 inference(rewrite,[status(thm)],[])).
% 5.44/4.31 tff(20123,plain,
% 5.44/4.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s156, s157)) | (~xuntil28(s156)) | until27(s157))),
% 5.44/4.31 inference(quant_inst,[status(thm)],[])).
% 5.44/4.31 tff(20124,plain,
% 5.44/4.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s156, s157)) | (~xuntil28(s156)) | until27(s157)),
% 5.44/4.31 inference(modus_ponens,[status(thm)],[20123, 20122])).
% 5.44/4.31 tff(20125,plain,
% 5.44/4.31 ((~xuntil28(s156)) | until27(s157)),
% 5.44/4.31 inference(unit_resolution,[status(thm)],[20124, 12741, 18010])).
% 5.44/4.31 tff(20126,plain,
% 5.44/4.31 (until27(s157)),
% 5.44/4.31 inference(unit_resolution,[status(thm)],[20125, 20121])).
% 5.44/4.31 tff(20127,plain,
% 5.44/4.31 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s157) | node26(s157) | (~until27(s157)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s157) | node26(s157) | (~until27(s157)))),
% 5.44/4.31 inference(rewrite,[status(thm)],[])).
% 5.44/4.31 tff(20128,plain,
% 5.44/4.31 ((node26(s157) | (~until27(s157)) | xuntil28(s157)) <=> (xuntil28(s157) | node26(s157) | (~until27(s157)))),
% 5.44/4.31 inference(rewrite,[status(thm)],[])).
% 5.44/4.31 tff(20129,plain,
% 5.44/4.31 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s157) | (~until27(s157)) | xuntil28(s157))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s157) | node26(s157) | (~until27(s157))))),
% 5.44/4.31 inference(monotonicity,[status(thm)],[20128])).
% 5.44/4.31 tff(20130,plain,
% 5.44/4.31 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s157) | (~until27(s157)) | xuntil28(s157))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s157) | node26(s157) | (~until27(s157)))),
% 5.44/4.31 inference(transitivity,[status(thm)],[20129, 20127])).
% 5.44/4.31 tff(20131,plain,
% 5.44/4.31 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s157) | (~until27(s157)) | xuntil28(s157))),
% 5.44/4.31 inference(quant_inst,[status(thm)],[])).
% 5.44/4.31 tff(20132,plain,
% 5.44/4.31 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s157) | node26(s157) | (~until27(s157))),
% 5.44/4.31 inference(modus_ponens,[status(thm)],[20131, 20130])).
% 5.44/4.31 tff(20133,plain,
% 5.44/4.31 (xuntil28(s157)),
% 5.44/4.31 inference(unit_resolution,[status(thm)],[20132, 17992, 20126, 16843])).
% 5.44/4.31 tff(20134,plain,
% 5.44/4.31 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s157, s158)) | (~xuntil28(s157)) | until27(s158))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s157, s158)) | (~xuntil28(s157)) | until27(s158))),
% 5.44/4.31 inference(rewrite,[status(thm)],[])).
% 5.44/4.31 tff(20135,plain,
% 5.44/4.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s157, s158)) | (~xuntil28(s157)) | until27(s158))),
% 5.44/4.31 inference(quant_inst,[status(thm)],[])).
% 5.44/4.31 tff(20136,plain,
% 5.44/4.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s157, s158)) | (~xuntil28(s157)) | until27(s158)),
% 5.44/4.31 inference(modus_ponens,[status(thm)],[20135, 20134])).
% 5.44/4.31 tff(20137,plain,
% 5.44/4.31 ((~xuntil28(s157)) | until27(s158)),
% 5.44/4.31 inference(unit_resolution,[status(thm)],[20136, 12836, 18010])).
% 5.44/4.31 tff(20138,plain,
% 5.44/4.31 (until27(s158)),
% 5.44/4.31 inference(unit_resolution,[status(thm)],[20137, 20133])).
% 5.44/4.31 tff(20139,plain,
% 5.44/4.31 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s158) | node26(s158) | (~until27(s158)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s158) | node26(s158) | (~until27(s158)))),
% 5.44/4.31 inference(rewrite,[status(thm)],[])).
% 5.44/4.31 tff(20140,plain,
% 5.44/4.31 ((node26(s158) | (~until27(s158)) | xuntil28(s158)) <=> (xuntil28(s158) | node26(s158) | (~until27(s158)))),
% 5.44/4.31 inference(rewrite,[status(thm)],[])).
% 5.44/4.31 tff(20141,plain,
% 5.44/4.31 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s158) | (~until27(s158)) | xuntil28(s158))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s158) | node26(s158) | (~until27(s158))))),
% 5.44/4.31 inference(monotonicity,[status(thm)],[20140])).
% 5.44/4.31 tff(20142,plain,
% 5.44/4.31 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s158) | (~until27(s158)) | xuntil28(s158))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s158) | node26(s158) | (~until27(s158)))),
% 5.44/4.31 inference(transitivity,[status(thm)],[20141, 20139])).
% 5.44/4.31 tff(20143,plain,
% 5.44/4.31 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s158) | (~until27(s158)) | xuntil28(s158))),
% 5.44/4.31 inference(quant_inst,[status(thm)],[])).
% 5.44/4.31 tff(20144,plain,
% 5.44/4.31 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s158) | node26(s158) | (~until27(s158))),
% 5.44/4.31 inference(modus_ponens,[status(thm)],[20143, 20142])).
% 5.44/4.31 tff(20145,plain,
% 5.44/4.31 (xuntil28(s158) | node26(s158)),
% 5.44/4.31 inference(unit_resolution,[status(thm)],[20144, 17992, 20138])).
% 5.44/4.31 tff(20146,plain,
% 5.44/4.31 (xuntil28(s158)),
% 5.44/4.31 inference(unit_resolution,[status(thm)],[20145, 16839])).
% 5.44/4.31 tff(20147,plain,
% 5.44/4.31 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s158, s159)) | (~xuntil28(s158)) | until27(s159))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s158, s159)) | (~xuntil28(s158)) | until27(s159))),
% 5.44/4.31 inference(rewrite,[status(thm)],[])).
% 5.44/4.31 tff(20148,plain,
% 5.44/4.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s158, s159)) | (~xuntil28(s158)) | until27(s159))),
% 5.44/4.31 inference(quant_inst,[status(thm)],[])).
% 5.44/4.31 tff(20149,plain,
% 5.44/4.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s158, s159)) | (~xuntil28(s158)) | until27(s159)),
% 5.44/4.31 inference(modus_ponens,[status(thm)],[20148, 20147])).
% 5.44/4.31 tff(20150,plain,
% 5.44/4.31 ((~xuntil28(s158)) | until27(s159)),
% 5.44/4.31 inference(unit_resolution,[status(thm)],[20149, 12900, 18010])).
% 5.44/4.31 tff(20151,plain,
% 5.44/4.31 (until27(s159)),
% 5.44/4.31 inference(unit_resolution,[status(thm)],[20150, 20146])).
% 5.44/4.31 tff(20152,plain,
% 5.44/4.31 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s159) | node26(s159) | (~until27(s159)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s159) | node26(s159) | (~until27(s159)))),
% 5.44/4.32 inference(rewrite,[status(thm)],[])).
% 5.44/4.32 tff(20153,plain,
% 5.44/4.32 ((node26(s159) | (~until27(s159)) | xuntil28(s159)) <=> (xuntil28(s159) | node26(s159) | (~until27(s159)))),
% 5.44/4.32 inference(rewrite,[status(thm)],[])).
% 5.44/4.32 tff(20154,plain,
% 5.44/4.32 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s159) | (~until27(s159)) | xuntil28(s159))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s159) | node26(s159) | (~until27(s159))))),
% 5.44/4.32 inference(monotonicity,[status(thm)],[20153])).
% 5.44/4.32 tff(20155,plain,
% 5.44/4.32 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s159) | (~until27(s159)) | xuntil28(s159))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s159) | node26(s159) | (~until27(s159)))),
% 5.44/4.32 inference(transitivity,[status(thm)],[20154, 20152])).
% 5.44/4.32 tff(20156,plain,
% 5.44/4.32 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s159) | (~until27(s159)) | xuntil28(s159))),
% 5.44/4.32 inference(quant_inst,[status(thm)],[])).
% 5.44/4.32 tff(20157,plain,
% 5.44/4.32 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s159) | node26(s159) | (~until27(s159))),
% 5.44/4.32 inference(modus_ponens,[status(thm)],[20156, 20155])).
% 5.44/4.32 tff(20158,plain,
% 5.44/4.32 (xuntil28(s159)),
% 5.44/4.32 inference(unit_resolution,[status(thm)],[20157, 17992, 20151, 16830])).
% 5.44/4.32 tff(20159,plain,
% 5.44/4.32 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s159, s160)) | (~xuntil28(s159)) | until27(s160))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s159, s160)) | (~xuntil28(s159)) | until27(s160))),
% 5.44/4.32 inference(rewrite,[status(thm)],[])).
% 5.44/4.32 tff(20160,plain,
% 5.44/4.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s159, s160)) | (~xuntil28(s159)) | until27(s160))),
% 5.44/4.32 inference(quant_inst,[status(thm)],[])).
% 5.44/4.32 tff(20161,plain,
% 5.44/4.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s159, s160)) | (~xuntil28(s159)) | until27(s160)),
% 5.44/4.32 inference(modus_ponens,[status(thm)],[20160, 20159])).
% 5.44/4.32 tff(20162,plain,
% 5.44/4.32 ((~xuntil28(s159)) | until27(s160)),
% 5.44/4.32 inference(unit_resolution,[status(thm)],[20161, 12975, 18010])).
% 5.44/4.32 tff(20163,plain,
% 5.44/4.32 (until27(s160)),
% 5.44/4.32 inference(unit_resolution,[status(thm)],[20162, 20158])).
% 5.44/4.32 tff(20164,plain,
% 5.44/4.32 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s160) | (~node26(s160)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s160) | (~node26(s160)))),
% 5.44/4.32 inference(rewrite,[status(thm)],[])).
% 5.44/4.32 tff(20165,plain,
% 5.44/4.32 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s160) | (~node26(s160)))),
% 5.44/4.32 inference(quant_inst,[status(thm)],[])).
% 5.44/4.32 tff(20166,plain,
% 5.44/4.32 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s160) | (~node26(s160))),
% 5.44/4.32 inference(modus_ponens,[status(thm)],[20165, 20164])).
% 5.44/4.32 tff(20167,plain,
% 5.44/4.32 (~node26(s160)),
% 5.44/4.32 inference(unit_resolution,[status(thm)],[20166, 16500, 16821])).
% 5.44/4.32 tff(20168,plain,
% 5.44/4.32 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s160) | node26(s160) | (~until27(s160)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s160) | node26(s160) | (~until27(s160)))),
% 5.44/4.32 inference(rewrite,[status(thm)],[])).
% 5.44/4.32 tff(20169,plain,
% 5.44/4.32 ((node26(s160) | (~until27(s160)) | xuntil28(s160)) <=> (xuntil28(s160) | node26(s160) | (~until27(s160)))),
% 5.44/4.32 inference(rewrite,[status(thm)],[])).
% 5.44/4.32 tff(20170,plain,
% 5.44/4.32 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s160) | (~until27(s160)) | xuntil28(s160))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s160) | node26(s160) | (~until27(s160))))),
% 5.44/4.32 inference(monotonicity,[status(thm)],[20169])).
% 5.44/4.32 tff(20171,plain,
% 5.44/4.32 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s160) | (~until27(s160)) | xuntil28(s160))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s160) | node26(s160) | (~until27(s160)))),
% 5.44/4.32 inference(transitivity,[status(thm)],[20170, 20168])).
% 5.44/4.32 tff(20172,plain,
% 5.44/4.32 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s160) | (~until27(s160)) | xuntil28(s160))),
% 5.44/4.32 inference(quant_inst,[status(thm)],[])).
% 5.44/4.32 tff(20173,plain,
% 5.44/4.32 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s160) | node26(s160) | (~until27(s160))),
% 5.44/4.32 inference(modus_ponens,[status(thm)],[20172, 20171])).
% 5.44/4.32 tff(20174,plain,
% 5.44/4.32 (xuntil28(s160) | (~until27(s160))),
% 5.44/4.32 inference(unit_resolution,[status(thm)],[20173, 17992, 20167])).
% 5.44/4.32 tff(20175,plain,
% 5.44/4.32 (xuntil28(s160)),
% 5.44/4.32 inference(unit_resolution,[status(thm)],[20174, 20163])).
% 5.44/4.32 tff(20176,plain,
% 5.44/4.32 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s160, s161)) | (~xuntil28(s160)) | until27(s161))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s160, s161)) | (~xuntil28(s160)) | until27(s161))),
% 5.44/4.32 inference(rewrite,[status(thm)],[])).
% 5.44/4.32 tff(20177,plain,
% 5.44/4.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s160, s161)) | (~xuntil28(s160)) | until27(s161))),
% 5.44/4.32 inference(quant_inst,[status(thm)],[])).
% 5.44/4.32 tff(20178,plain,
% 5.44/4.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s160, s161)) | (~xuntil28(s160)) | until27(s161)),
% 5.44/4.32 inference(modus_ponens,[status(thm)],[20177, 20176])).
% 5.44/4.32 tff(20179,plain,
% 5.44/4.32 ((~xuntil28(s160)) | until27(s161)),
% 5.44/4.32 inference(unit_resolution,[status(thm)],[20178, 13064, 18010])).
% 5.44/4.32 tff(20180,plain,
% 5.44/4.32 (until27(s161)),
% 5.44/4.32 inference(unit_resolution,[status(thm)],[20179, 20175])).
% 5.44/4.32 tff(20181,plain,
% 5.44/4.32 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s161) | node26(s161) | (~until27(s161)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s161) | node26(s161) | (~until27(s161)))),
% 5.44/4.32 inference(rewrite,[status(thm)],[])).
% 5.44/4.32 tff(20182,plain,
% 5.44/4.32 ((node26(s161) | (~until27(s161)) | xuntil28(s161)) <=> (xuntil28(s161) | node26(s161) | (~until27(s161)))),
% 5.44/4.32 inference(rewrite,[status(thm)],[])).
% 5.44/4.32 tff(20183,plain,
% 5.44/4.32 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s161) | (~until27(s161)) | xuntil28(s161))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s161) | node26(s161) | (~until27(s161))))),
% 5.44/4.32 inference(monotonicity,[status(thm)],[20182])).
% 5.44/4.32 tff(20184,plain,
% 5.44/4.32 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s161) | (~until27(s161)) | xuntil28(s161))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s161) | node26(s161) | (~until27(s161)))),
% 5.44/4.32 inference(transitivity,[status(thm)],[20183, 20181])).
% 5.44/4.32 tff(20185,plain,
% 5.44/4.32 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s161) | (~until27(s161)) | xuntil28(s161))),
% 5.44/4.32 inference(quant_inst,[status(thm)],[])).
% 5.44/4.32 tff(20186,plain,
% 5.44/4.32 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s161) | node26(s161) | (~until27(s161))),
% 5.44/4.32 inference(modus_ponens,[status(thm)],[20185, 20184])).
% 5.44/4.32 tff(20187,plain,
% 5.44/4.32 (xuntil28(s161)),
% 5.44/4.32 inference(unit_resolution,[status(thm)],[20186, 17992, 20180, 16814])).
% 5.44/4.32 tff(20188,plain,
% 5.44/4.32 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s161, s162)) | (~xuntil28(s161)) | until27(s162))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s161, s162)) | (~xuntil28(s161)) | until27(s162))),
% 5.44/4.32 inference(rewrite,[status(thm)],[])).
% 5.44/4.32 tff(20189,plain,
% 5.44/4.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s161, s162)) | (~xuntil28(s161)) | until27(s162))),
% 5.44/4.32 inference(quant_inst,[status(thm)],[])).
% 5.44/4.32 tff(20190,plain,
% 5.44/4.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s161, s162)) | (~xuntil28(s161)) | until27(s162)),
% 5.44/4.32 inference(modus_ponens,[status(thm)],[20189, 20188])).
% 5.44/4.32 tff(20191,plain,
% 5.44/4.32 ((~xuntil28(s161)) | until27(s162)),
% 5.44/4.32 inference(unit_resolution,[status(thm)],[20190, 13131, 18010])).
% 5.44/4.32 tff(20192,plain,
% 5.44/4.32 (until27(s162)),
% 5.44/4.32 inference(unit_resolution,[status(thm)],[20191, 20187])).
% 5.44/4.32 tff(20193,plain,
% 5.44/4.32 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s162) | node26(s162) | (~until27(s162)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s162) | node26(s162) | (~until27(s162)))),
% 5.44/4.32 inference(rewrite,[status(thm)],[])).
% 5.44/4.32 tff(20194,plain,
% 5.44/4.32 ((node26(s162) | (~until27(s162)) | xuntil28(s162)) <=> (xuntil28(s162) | node26(s162) | (~until27(s162)))),
% 5.44/4.32 inference(rewrite,[status(thm)],[])).
% 5.44/4.32 tff(20195,plain,
% 5.44/4.32 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s162) | (~until27(s162)) | xuntil28(s162))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s162) | node26(s162) | (~until27(s162))))),
% 5.44/4.32 inference(monotonicity,[status(thm)],[20194])).
% 5.44/4.32 tff(20196,plain,
% 5.44/4.32 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s162) | (~until27(s162)) | xuntil28(s162))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s162) | node26(s162) | (~until27(s162)))),
% 5.44/4.32 inference(transitivity,[status(thm)],[20195, 20193])).
% 5.44/4.32 tff(20197,plain,
% 5.44/4.32 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s162) | (~until27(s162)) | xuntil28(s162))),
% 5.44/4.32 inference(quant_inst,[status(thm)],[])).
% 5.44/4.32 tff(20198,plain,
% 5.44/4.32 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s162) | node26(s162) | (~until27(s162))),
% 5.44/4.32 inference(modus_ponens,[status(thm)],[20197, 20196])).
% 5.44/4.32 tff(20199,plain,
% 5.44/4.32 (xuntil28(s162) | node26(s162)),
% 5.44/4.32 inference(unit_resolution,[status(thm)],[20198, 17992, 20192])).
% 5.44/4.32 tff(20200,plain,
% 5.44/4.32 (xuntil28(s162)),
% 5.44/4.32 inference(unit_resolution,[status(thm)],[20199, 16810])).
% 5.44/4.32 tff(20201,plain,
% 5.44/4.32 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s162, s163)) | (~xuntil28(s162)) | until27(s163))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s162, s163)) | (~xuntil28(s162)) | until27(s163))),
% 5.44/4.32 inference(rewrite,[status(thm)],[])).
% 5.44/4.32 tff(20202,plain,
% 5.44/4.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s162, s163)) | (~xuntil28(s162)) | until27(s163))),
% 5.44/4.32 inference(quant_inst,[status(thm)],[])).
% 5.44/4.32 tff(20203,plain,
% 5.44/4.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s162, s163)) | (~xuntil28(s162)) | until27(s163)),
% 5.44/4.32 inference(modus_ponens,[status(thm)],[20202, 20201])).
% 5.44/4.32 tff(20204,plain,
% 5.44/4.32 ((~xuntil28(s162)) | until27(s163)),
% 5.44/4.32 inference(unit_resolution,[status(thm)],[20203, 13230, 18010])).
% 5.44/4.32 tff(20205,plain,
% 5.44/4.32 (until27(s163)),
% 5.44/4.32 inference(unit_resolution,[status(thm)],[20204, 20200])).
% 5.44/4.32 tff(20206,plain,
% 5.44/4.32 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s163) | node26(s163) | (~until27(s163)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s163) | node26(s163) | (~until27(s163)))),
% 5.44/4.32 inference(rewrite,[status(thm)],[])).
% 5.44/4.32 tff(20207,plain,
% 5.44/4.32 ((node26(s163) | (~until27(s163)) | xuntil28(s163)) <=> (xuntil28(s163) | node26(s163) | (~until27(s163)))),
% 5.44/4.32 inference(rewrite,[status(thm)],[])).
% 5.44/4.32 tff(20208,plain,
% 5.44/4.32 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s163) | (~until27(s163)) | xuntil28(s163))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s163) | node26(s163) | (~until27(s163))))),
% 5.44/4.32 inference(monotonicity,[status(thm)],[20207])).
% 5.44/4.32 tff(20209,plain,
% 5.44/4.32 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s163) | (~until27(s163)) | xuntil28(s163))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s163) | node26(s163) | (~until27(s163)))),
% 5.44/4.32 inference(transitivity,[status(thm)],[20208, 20206])).
% 5.44/4.32 tff(20210,plain,
% 5.44/4.32 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s163) | (~until27(s163)) | xuntil28(s163))),
% 5.44/4.32 inference(quant_inst,[status(thm)],[])).
% 5.44/4.32 tff(20211,plain,
% 5.44/4.32 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s163) | node26(s163) | (~until27(s163))),
% 5.44/4.32 inference(modus_ponens,[status(thm)],[20210, 20209])).
% 5.44/4.32 tff(20212,plain,
% 5.44/4.32 (xuntil28(s163)),
% 5.44/4.32 inference(unit_resolution,[status(thm)],[20211, 17992, 20205, 16801])).
% 5.44/4.32 tff(20213,plain,
% 5.44/4.32 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s163, s164)) | (~xuntil28(s163)) | until27(s164))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s163, s164)) | (~xuntil28(s163)) | until27(s164))),
% 5.44/4.32 inference(rewrite,[status(thm)],[])).
% 5.44/4.32 tff(20214,plain,
% 5.44/4.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s163, s164)) | (~xuntil28(s163)) | until27(s164))),
% 5.44/4.32 inference(quant_inst,[status(thm)],[])).
% 5.44/4.32 tff(20215,plain,
% 5.44/4.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s163, s164)) | (~xuntil28(s163)) | until27(s164)),
% 5.44/4.32 inference(modus_ponens,[status(thm)],[20214, 20213])).
% 5.44/4.32 tff(20216,plain,
% 5.44/4.32 ((~xuntil28(s163)) | until27(s164)),
% 5.44/4.32 inference(unit_resolution,[status(thm)],[20215, 13308, 18010])).
% 5.44/4.32 tff(20217,plain,
% 5.44/4.32 (until27(s164)),
% 5.44/4.32 inference(unit_resolution,[status(thm)],[20216, 20212])).
% 5.44/4.32 tff(20218,plain,
% 5.44/4.32 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s164) | (~node26(s164)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s164) | (~node26(s164)))),
% 5.44/4.32 inference(rewrite,[status(thm)],[])).
% 5.44/4.32 tff(20219,plain,
% 5.44/4.32 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s164) | (~node26(s164)))),
% 5.44/4.32 inference(quant_inst,[status(thm)],[])).
% 5.44/4.32 tff(20220,plain,
% 5.44/4.32 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s164) | (~node26(s164))),
% 5.44/4.32 inference(modus_ponens,[status(thm)],[20219, 20218])).
% 5.44/4.32 tff(20221,plain,
% 5.44/4.32 (~node26(s164)),
% 5.44/4.32 inference(unit_resolution,[status(thm)],[20220, 16500, 16792])).
% 5.44/4.32 tff(20222,plain,
% 5.44/4.32 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s164) | node26(s164) | (~until27(s164)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s164) | node26(s164) | (~until27(s164)))),
% 5.44/4.32 inference(rewrite,[status(thm)],[])).
% 5.44/4.32 tff(20223,plain,
% 5.44/4.32 ((node26(s164) | (~until27(s164)) | xuntil28(s164)) <=> (xuntil28(s164) | node26(s164) | (~until27(s164)))),
% 5.44/4.32 inference(rewrite,[status(thm)],[])).
% 5.44/4.32 tff(20224,plain,
% 5.44/4.32 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s164) | (~until27(s164)) | xuntil28(s164))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s164) | node26(s164) | (~until27(s164))))),
% 5.44/4.32 inference(monotonicity,[status(thm)],[20223])).
% 5.44/4.32 tff(20225,plain,
% 5.44/4.32 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s164) | (~until27(s164)) | xuntil28(s164))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s164) | node26(s164) | (~until27(s164)))),
% 5.44/4.32 inference(transitivity,[status(thm)],[20224, 20222])).
% 5.44/4.32 tff(20226,plain,
% 5.44/4.32 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s164) | (~until27(s164)) | xuntil28(s164))),
% 5.44/4.32 inference(quant_inst,[status(thm)],[])).
% 5.44/4.32 tff(20227,plain,
% 5.44/4.32 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s164) | node26(s164) | (~until27(s164))),
% 5.44/4.32 inference(modus_ponens,[status(thm)],[20226, 20225])).
% 5.44/4.32 tff(20228,plain,
% 5.44/4.32 (xuntil28(s164) | (~until27(s164))),
% 5.44/4.32 inference(unit_resolution,[status(thm)],[20227, 17992, 20221])).
% 5.44/4.32 tff(20229,plain,
% 5.44/4.32 (xuntil28(s164)),
% 5.44/4.32 inference(unit_resolution,[status(thm)],[20228, 20217])).
% 5.44/4.32 tff(20230,plain,
% 5.44/4.32 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s164, s165)) | (~xuntil28(s164)) | until27(s165))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s164, s165)) | (~xuntil28(s164)) | until27(s165))),
% 5.44/4.32 inference(rewrite,[status(thm)],[])).
% 5.44/4.32 tff(20231,plain,
% 5.44/4.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s164, s165)) | (~xuntil28(s164)) | until27(s165))),
% 5.44/4.32 inference(quant_inst,[status(thm)],[])).
% 5.44/4.32 tff(20232,plain,
% 5.44/4.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s164, s165)) | (~xuntil28(s164)) | until27(s165)),
% 5.44/4.32 inference(modus_ponens,[status(thm)],[20231, 20230])).
% 5.44/4.32 tff(20233,plain,
% 5.44/4.32 ((~xuntil28(s164)) | until27(s165)),
% 5.44/4.32 inference(unit_resolution,[status(thm)],[20232, 13369, 18010])).
% 5.44/4.32 tff(20234,plain,
% 5.44/4.32 (until27(s165)),
% 5.44/4.32 inference(unit_resolution,[status(thm)],[20233, 20229])).
% 5.44/4.32 tff(20235,plain,
% 5.44/4.32 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s165) | node26(s165) | (~until27(s165)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s165) | node26(s165) | (~until27(s165)))),
% 5.44/4.32 inference(rewrite,[status(thm)],[])).
% 5.44/4.32 tff(20236,plain,
% 5.44/4.32 ((node26(s165) | (~until27(s165)) | xuntil28(s165)) <=> (xuntil28(s165) | node26(s165) | (~until27(s165)))),
% 5.44/4.32 inference(rewrite,[status(thm)],[])).
% 5.44/4.32 tff(20237,plain,
% 5.44/4.32 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s165) | (~until27(s165)) | xuntil28(s165))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s165) | node26(s165) | (~until27(s165))))),
% 5.44/4.32 inference(monotonicity,[status(thm)],[20236])).
% 5.44/4.32 tff(20238,plain,
% 5.44/4.32 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s165) | (~until27(s165)) | xuntil28(s165))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s165) | node26(s165) | (~until27(s165)))),
% 5.44/4.32 inference(transitivity,[status(thm)],[20237, 20235])).
% 5.44/4.32 tff(20239,plain,
% 5.44/4.32 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s165) | (~until27(s165)) | xuntil28(s165))),
% 5.44/4.32 inference(quant_inst,[status(thm)],[])).
% 5.44/4.32 tff(20240,plain,
% 5.44/4.32 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s165) | node26(s165) | (~until27(s165))),
% 5.44/4.32 inference(modus_ponens,[status(thm)],[20239, 20238])).
% 5.44/4.32 tff(20241,plain,
% 5.44/4.32 (xuntil28(s165)),
% 5.44/4.32 inference(unit_resolution,[status(thm)],[20240, 17992, 20234, 16785])).
% 5.44/4.32 tff(20242,plain,
% 5.44/4.32 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s165, s166)) | (~xuntil28(s165)) | until27(s166))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s165, s166)) | (~xuntil28(s165)) | until27(s166))),
% 5.44/4.32 inference(rewrite,[status(thm)],[])).
% 5.44/4.32 tff(20243,plain,
% 5.44/4.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s165, s166)) | (~xuntil28(s165)) | until27(s166))),
% 5.44/4.32 inference(quant_inst,[status(thm)],[])).
% 5.44/4.32 tff(20244,plain,
% 5.44/4.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s165, s166)) | (~xuntil28(s165)) | until27(s166)),
% 5.44/4.32 inference(modus_ponens,[status(thm)],[20243, 20242])).
% 5.44/4.32 tff(20245,plain,
% 5.44/4.32 ((~xuntil28(s165)) | until27(s166)),
% 5.44/4.32 inference(unit_resolution,[status(thm)],[20244, 13464, 18010])).
% 5.44/4.32 tff(20246,plain,
% 5.44/4.32 (until27(s166)),
% 5.44/4.32 inference(unit_resolution,[status(thm)],[20245, 20241])).
% 5.44/4.32 tff(20247,plain,
% 5.44/4.32 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s166) | node26(s166) | (~until27(s166)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s166) | node26(s166) | (~until27(s166)))),
% 5.44/4.32 inference(rewrite,[status(thm)],[])).
% 5.44/4.32 tff(20248,plain,
% 5.44/4.32 ((node26(s166) | (~until27(s166)) | xuntil28(s166)) <=> (xuntil28(s166) | node26(s166) | (~until27(s166)))),
% 5.44/4.32 inference(rewrite,[status(thm)],[])).
% 5.44/4.32 tff(20249,plain,
% 5.44/4.32 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s166) | (~until27(s166)) | xuntil28(s166))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s166) | node26(s166) | (~until27(s166))))),
% 5.44/4.32 inference(monotonicity,[status(thm)],[20248])).
% 5.44/4.32 tff(20250,plain,
% 5.44/4.32 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s166) | (~until27(s166)) | xuntil28(s166))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s166) | node26(s166) | (~until27(s166)))),
% 5.44/4.32 inference(transitivity,[status(thm)],[20249, 20247])).
% 5.44/4.32 tff(20251,plain,
% 5.44/4.32 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s166) | (~until27(s166)) | xuntil28(s166))),
% 5.44/4.32 inference(quant_inst,[status(thm)],[])).
% 5.44/4.32 tff(20252,plain,
% 5.44/4.32 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s166) | node26(s166) | (~until27(s166))),
% 5.44/4.32 inference(modus_ponens,[status(thm)],[20251, 20250])).
% 5.44/4.32 tff(20253,plain,
% 5.44/4.32 (xuntil28(s166) | node26(s166)),
% 5.44/4.32 inference(unit_resolution,[status(thm)],[20252, 17992, 20246])).
% 5.44/4.32 tff(20254,plain,
% 5.44/4.32 (xuntil28(s166)),
% 5.44/4.32 inference(unit_resolution,[status(thm)],[20253, 16781])).
% 5.44/4.32 tff(20255,plain,
% 5.44/4.32 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s166, s167)) | (~xuntil28(s166)) | until27(s167))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s166, s167)) | (~xuntil28(s166)) | until27(s167))),
% 5.44/4.32 inference(rewrite,[status(thm)],[])).
% 5.44/4.32 tff(20256,plain,
% 5.44/4.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s166, s167)) | (~xuntil28(s166)) | until27(s167))),
% 5.44/4.32 inference(quant_inst,[status(thm)],[])).
% 5.44/4.32 tff(20257,plain,
% 5.44/4.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s166, s167)) | (~xuntil28(s166)) | until27(s167)),
% 5.44/4.32 inference(modus_ponens,[status(thm)],[20256, 20255])).
% 5.44/4.32 tff(20258,plain,
% 5.44/4.32 ((~xuntil28(s166)) | until27(s167)),
% 5.44/4.32 inference(unit_resolution,[status(thm)],[20257, 13528, 18010])).
% 5.44/4.32 tff(20259,plain,
% 5.44/4.32 (until27(s167)),
% 5.44/4.32 inference(unit_resolution,[status(thm)],[20258, 20254])).
% 5.44/4.32 tff(20260,plain,
% 5.44/4.32 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s167) | node26(s167) | (~until27(s167)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s167) | node26(s167) | (~until27(s167)))),
% 5.44/4.32 inference(rewrite,[status(thm)],[])).
% 5.44/4.32 tff(20261,plain,
% 5.44/4.32 ((node26(s167) | (~until27(s167)) | xuntil28(s167)) <=> (xuntil28(s167) | node26(s167) | (~until27(s167)))),
% 5.44/4.32 inference(rewrite,[status(thm)],[])).
% 5.44/4.32 tff(20262,plain,
% 5.44/4.32 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s167) | (~until27(s167)) | xuntil28(s167))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s167) | node26(s167) | (~until27(s167))))),
% 5.44/4.32 inference(monotonicity,[status(thm)],[20261])).
% 5.44/4.32 tff(20263,plain,
% 5.44/4.32 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s167) | (~until27(s167)) | xuntil28(s167))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s167) | node26(s167) | (~until27(s167)))),
% 5.44/4.32 inference(transitivity,[status(thm)],[20262, 20260])).
% 5.44/4.32 tff(20264,plain,
% 5.44/4.32 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s167) | (~until27(s167)) | xuntil28(s167))),
% 5.44/4.32 inference(quant_inst,[status(thm)],[])).
% 5.44/4.32 tff(20265,plain,
% 5.44/4.32 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s167) | node26(s167) | (~until27(s167))),
% 5.44/4.32 inference(modus_ponens,[status(thm)],[20264, 20263])).
% 5.44/4.32 tff(20266,plain,
% 5.44/4.32 (xuntil28(s167)),
% 5.44/4.32 inference(unit_resolution,[status(thm)],[20265, 17992, 20259, 16772])).
% 5.44/4.32 tff(20267,plain,
% 5.44/4.32 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s167, s168)) | (~xuntil28(s167)) | until27(s168))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s167, s168)) | (~xuntil28(s167)) | until27(s168))),
% 5.44/4.32 inference(rewrite,[status(thm)],[])).
% 5.44/4.32 tff(20268,plain,
% 5.44/4.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s167, s168)) | (~xuntil28(s167)) | until27(s168))),
% 5.44/4.32 inference(quant_inst,[status(thm)],[])).
% 5.44/4.32 tff(20269,plain,
% 5.44/4.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s167, s168)) | (~xuntil28(s167)) | until27(s168)),
% 5.44/4.32 inference(modus_ponens,[status(thm)],[20268, 20267])).
% 5.44/4.32 tff(20270,plain,
% 5.44/4.32 ((~xuntil28(s167)) | until27(s168)),
% 5.44/4.32 inference(unit_resolution,[status(thm)],[20269, 13603, 18010])).
% 5.44/4.32 tff(20271,plain,
% 5.44/4.32 (until27(s168)),
% 5.44/4.32 inference(unit_resolution,[status(thm)],[20270, 20266])).
% 5.44/4.32 tff(20272,plain,
% 5.44/4.32 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s168) | (~node26(s168)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s168) | (~node26(s168)))),
% 5.44/4.32 inference(rewrite,[status(thm)],[])).
% 5.44/4.32 tff(20273,plain,
% 5.44/4.32 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s168) | (~node26(s168)))),
% 5.44/4.32 inference(quant_inst,[status(thm)],[])).
% 5.44/4.32 tff(20274,plain,
% 5.44/4.32 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s168) | (~node26(s168))),
% 5.44/4.32 inference(modus_ponens,[status(thm)],[20273, 20272])).
% 5.44/4.32 tff(20275,plain,
% 5.44/4.32 (~node26(s168)),
% 5.44/4.32 inference(unit_resolution,[status(thm)],[20274, 16500, 16763])).
% 5.44/4.32 tff(20276,plain,
% 5.44/4.32 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s168) | node26(s168) | (~until27(s168)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s168) | node26(s168) | (~until27(s168)))),
% 5.44/4.32 inference(rewrite,[status(thm)],[])).
% 5.44/4.32 tff(20277,plain,
% 5.44/4.32 ((node26(s168) | (~until27(s168)) | xuntil28(s168)) <=> (xuntil28(s168) | node26(s168) | (~until27(s168)))),
% 5.44/4.32 inference(rewrite,[status(thm)],[])).
% 5.44/4.32 tff(20278,plain,
% 5.44/4.32 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s168) | (~until27(s168)) | xuntil28(s168))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s168) | node26(s168) | (~until27(s168))))),
% 5.44/4.32 inference(monotonicity,[status(thm)],[20277])).
% 5.44/4.32 tff(20279,plain,
% 5.44/4.32 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s168) | (~until27(s168)) | xuntil28(s168))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s168) | node26(s168) | (~until27(s168)))),
% 5.44/4.32 inference(transitivity,[status(thm)],[20278, 20276])).
% 5.44/4.32 tff(20280,plain,
% 5.44/4.32 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s168) | (~until27(s168)) | xuntil28(s168))),
% 5.44/4.32 inference(quant_inst,[status(thm)],[])).
% 5.44/4.32 tff(20281,plain,
% 5.44/4.32 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s168) | node26(s168) | (~until27(s168))),
% 5.44/4.32 inference(modus_ponens,[status(thm)],[20280, 20279])).
% 5.44/4.32 tff(20282,plain,
% 5.44/4.32 (xuntil28(s168) | (~until27(s168))),
% 5.44/4.32 inference(unit_resolution,[status(thm)],[20281, 17992, 20275])).
% 5.44/4.32 tff(20283,plain,
% 5.44/4.32 (xuntil28(s168)),
% 5.44/4.32 inference(unit_resolution,[status(thm)],[20282, 20271])).
% 5.44/4.32 tff(20284,plain,
% 5.44/4.32 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s168, s169)) | (~xuntil28(s168)) | until27(s169))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s168, s169)) | (~xuntil28(s168)) | until27(s169))),
% 5.44/4.32 inference(rewrite,[status(thm)],[])).
% 5.44/4.32 tff(20285,plain,
% 5.44/4.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s168, s169)) | (~xuntil28(s168)) | until27(s169))),
% 5.44/4.32 inference(quant_inst,[status(thm)],[])).
% 5.44/4.32 tff(20286,plain,
% 5.44/4.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s168, s169)) | (~xuntil28(s168)) | until27(s169)),
% 5.44/4.32 inference(modus_ponens,[status(thm)],[20285, 20284])).
% 5.44/4.32 tff(20287,plain,
% 5.44/4.32 ((~xuntil28(s168)) | until27(s169)),
% 5.44/4.32 inference(unit_resolution,[status(thm)],[20286, 13692, 18010])).
% 5.44/4.32 tff(20288,plain,
% 5.44/4.32 (until27(s169)),
% 5.44/4.32 inference(unit_resolution,[status(thm)],[20287, 20283])).
% 5.44/4.32 tff(20289,plain,
% 5.44/4.32 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s169) | node26(s169) | (~until27(s169)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s169) | node26(s169) | (~until27(s169)))),
% 5.44/4.32 inference(rewrite,[status(thm)],[])).
% 5.44/4.32 tff(20290,plain,
% 5.44/4.32 ((node26(s169) | (~until27(s169)) | xuntil28(s169)) <=> (xuntil28(s169) | node26(s169) | (~until27(s169)))),
% 5.44/4.32 inference(rewrite,[status(thm)],[])).
% 5.44/4.32 tff(20291,plain,
% 5.44/4.32 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s169) | (~until27(s169)) | xuntil28(s169))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s169) | node26(s169) | (~until27(s169))))),
% 5.44/4.32 inference(monotonicity,[status(thm)],[20290])).
% 5.44/4.32 tff(20292,plain,
% 5.44/4.32 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s169) | (~until27(s169)) | xuntil28(s169))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s169) | node26(s169) | (~until27(s169)))),
% 5.44/4.32 inference(transitivity,[status(thm)],[20291, 20289])).
% 5.44/4.32 tff(20293,plain,
% 5.44/4.32 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s169) | (~until27(s169)) | xuntil28(s169))),
% 5.44/4.32 inference(quant_inst,[status(thm)],[])).
% 5.44/4.32 tff(20294,plain,
% 5.44/4.32 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s169) | node26(s169) | (~until27(s169))),
% 5.44/4.32 inference(modus_ponens,[status(thm)],[20293, 20292])).
% 5.44/4.32 tff(20295,plain,
% 5.44/4.32 (xuntil28(s169)),
% 5.44/4.32 inference(unit_resolution,[status(thm)],[20294, 17992, 20288, 16756])).
% 5.44/4.32 tff(20296,plain,
% 5.44/4.32 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s169, s170)) | (~xuntil28(s169)) | until27(s170))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s169, s170)) | (~xuntil28(s169)) | until27(s170))),
% 5.44/4.32 inference(rewrite,[status(thm)],[])).
% 5.44/4.32 tff(20297,plain,
% 5.44/4.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s169, s170)) | (~xuntil28(s169)) | until27(s170))),
% 5.44/4.32 inference(quant_inst,[status(thm)],[])).
% 5.44/4.32 tff(20298,plain,
% 5.44/4.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s169, s170)) | (~xuntil28(s169)) | until27(s170)),
% 5.44/4.32 inference(modus_ponens,[status(thm)],[20297, 20296])).
% 5.44/4.32 tff(20299,plain,
% 5.44/4.32 ((~xuntil28(s169)) | until27(s170)),
% 5.44/4.32 inference(unit_resolution,[status(thm)],[20298, 13759, 18010])).
% 5.44/4.32 tff(20300,plain,
% 5.44/4.32 (until27(s170)),
% 5.44/4.32 inference(unit_resolution,[status(thm)],[20299, 20295])).
% 5.44/4.32 tff(20301,plain,
% 5.44/4.32 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s170) | node26(s170) | (~until27(s170)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s170) | node26(s170) | (~until27(s170)))),
% 5.44/4.32 inference(rewrite,[status(thm)],[])).
% 5.44/4.32 tff(20302,plain,
% 5.44/4.32 ((node26(s170) | (~until27(s170)) | xuntil28(s170)) <=> (xuntil28(s170) | node26(s170) | (~until27(s170)))),
% 5.44/4.32 inference(rewrite,[status(thm)],[])).
% 5.44/4.32 tff(20303,plain,
% 5.44/4.32 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s170) | (~until27(s170)) | xuntil28(s170))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s170) | node26(s170) | (~until27(s170))))),
% 5.44/4.32 inference(monotonicity,[status(thm)],[20302])).
% 5.44/4.32 tff(20304,plain,
% 5.44/4.32 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s170) | (~until27(s170)) | xuntil28(s170))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s170) | node26(s170) | (~until27(s170)))),
% 5.44/4.32 inference(transitivity,[status(thm)],[20303, 20301])).
% 5.44/4.32 tff(20305,plain,
% 5.44/4.32 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s170) | (~until27(s170)) | xuntil28(s170))),
% 5.44/4.32 inference(quant_inst,[status(thm)],[])).
% 5.44/4.32 tff(20306,plain,
% 5.44/4.32 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s170) | node26(s170) | (~until27(s170))),
% 5.44/4.32 inference(modus_ponens,[status(thm)],[20305, 20304])).
% 5.44/4.32 tff(20307,plain,
% 5.44/4.32 (xuntil28(s170) | node26(s170)),
% 5.44/4.32 inference(unit_resolution,[status(thm)],[20306, 17992, 20300])).
% 5.44/4.32 tff(20308,plain,
% 5.44/4.32 (xuntil28(s170)),
% 5.44/4.32 inference(unit_resolution,[status(thm)],[20307, 16752])).
% 5.44/4.32 tff(20309,plain,
% 5.44/4.32 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s170, s171)) | (~xuntil28(s170)) | until27(s171))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s170, s171)) | (~xuntil28(s170)) | until27(s171))),
% 5.44/4.32 inference(rewrite,[status(thm)],[])).
% 5.44/4.32 tff(20310,plain,
% 5.44/4.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s170, s171)) | (~xuntil28(s170)) | until27(s171))),
% 5.44/4.32 inference(quant_inst,[status(thm)],[])).
% 5.44/4.32 tff(20311,plain,
% 5.44/4.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s170, s171)) | (~xuntil28(s170)) | until27(s171)),
% 5.44/4.32 inference(modus_ponens,[status(thm)],[20310, 20309])).
% 5.44/4.32 tff(20312,plain,
% 5.44/4.32 ((~xuntil28(s170)) | until27(s171)),
% 5.44/4.32 inference(unit_resolution,[status(thm)],[20311, 13858, 18010])).
% 5.44/4.32 tff(20313,plain,
% 5.44/4.32 (until27(s171)),
% 5.44/4.32 inference(unit_resolution,[status(thm)],[20312, 20308])).
% 5.44/4.32 tff(20314,plain,
% 5.44/4.32 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s171) | node26(s171) | (~until27(s171)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s171) | node26(s171) | (~until27(s171)))),
% 5.44/4.32 inference(rewrite,[status(thm)],[])).
% 5.44/4.32 tff(20315,plain,
% 5.44/4.32 ((node26(s171) | (~until27(s171)) | xuntil28(s171)) <=> (xuntil28(s171) | node26(s171) | (~until27(s171)))),
% 5.44/4.32 inference(rewrite,[status(thm)],[])).
% 5.44/4.32 tff(20316,plain,
% 5.44/4.32 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s171) | (~until27(s171)) | xuntil28(s171))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s171) | node26(s171) | (~until27(s171))))),
% 5.44/4.32 inference(monotonicity,[status(thm)],[20315])).
% 5.44/4.32 tff(20317,plain,
% 5.44/4.32 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s171) | (~until27(s171)) | xuntil28(s171))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s171) | node26(s171) | (~until27(s171)))),
% 5.44/4.32 inference(transitivity,[status(thm)],[20316, 20314])).
% 5.44/4.32 tff(20318,plain,
% 5.44/4.32 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s171) | (~until27(s171)) | xuntil28(s171))),
% 5.44/4.33 inference(quant_inst,[status(thm)],[])).
% 5.44/4.33 tff(20319,plain,
% 5.44/4.33 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s171) | node26(s171) | (~until27(s171))),
% 5.44/4.33 inference(modus_ponens,[status(thm)],[20318, 20317])).
% 5.44/4.33 tff(20320,plain,
% 5.44/4.33 (xuntil28(s171)),
% 5.44/4.33 inference(unit_resolution,[status(thm)],[20319, 17992, 20313, 16743])).
% 5.44/4.33 tff(20321,plain,
% 5.44/4.33 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s171, s172)) | (~xuntil28(s171)) | until27(s172))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s171, s172)) | (~xuntil28(s171)) | until27(s172))),
% 5.44/4.33 inference(rewrite,[status(thm)],[])).
% 5.44/4.33 tff(20322,plain,
% 5.44/4.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s171, s172)) | (~xuntil28(s171)) | until27(s172))),
% 5.44/4.33 inference(quant_inst,[status(thm)],[])).
% 5.44/4.33 tff(20323,plain,
% 5.44/4.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s171, s172)) | (~xuntil28(s171)) | until27(s172)),
% 5.44/4.33 inference(modus_ponens,[status(thm)],[20322, 20321])).
% 5.44/4.33 tff(20324,plain,
% 5.44/4.33 ((~xuntil28(s171)) | until27(s172)),
% 5.44/4.33 inference(unit_resolution,[status(thm)],[20323, 13936, 18010])).
% 5.44/4.33 tff(20325,plain,
% 5.44/4.33 (until27(s172)),
% 5.44/4.33 inference(unit_resolution,[status(thm)],[20324, 20320])).
% 5.44/4.33 tff(20326,plain,
% 5.44/4.33 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s172) | (~node26(s172)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s172) | (~node26(s172)))),
% 5.44/4.33 inference(rewrite,[status(thm)],[])).
% 5.44/4.33 tff(20327,plain,
% 5.44/4.33 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s172) | (~node26(s172)))),
% 5.44/4.33 inference(quant_inst,[status(thm)],[])).
% 5.44/4.33 tff(20328,plain,
% 5.44/4.33 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s172) | (~node26(s172))),
% 5.44/4.33 inference(modus_ponens,[status(thm)],[20327, 20326])).
% 5.44/4.33 tff(20329,plain,
% 5.44/4.33 (~node26(s172)),
% 5.44/4.33 inference(unit_resolution,[status(thm)],[20328, 16500, 16734])).
% 5.44/4.33 tff(20330,plain,
% 5.44/4.33 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s172) | node26(s172) | (~until27(s172)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s172) | node26(s172) | (~until27(s172)))),
% 5.44/4.33 inference(rewrite,[status(thm)],[])).
% 5.44/4.33 tff(20331,plain,
% 5.44/4.33 ((node26(s172) | (~until27(s172)) | xuntil28(s172)) <=> (xuntil28(s172) | node26(s172) | (~until27(s172)))),
% 5.44/4.33 inference(rewrite,[status(thm)],[])).
% 5.44/4.33 tff(20332,plain,
% 5.44/4.33 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s172) | (~until27(s172)) | xuntil28(s172))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s172) | node26(s172) | (~until27(s172))))),
% 5.44/4.33 inference(monotonicity,[status(thm)],[20331])).
% 5.44/4.33 tff(20333,plain,
% 5.44/4.33 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s172) | (~until27(s172)) | xuntil28(s172))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s172) | node26(s172) | (~until27(s172)))),
% 5.44/4.33 inference(transitivity,[status(thm)],[20332, 20330])).
% 5.44/4.33 tff(20334,plain,
% 5.44/4.33 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s172) | (~until27(s172)) | xuntil28(s172))),
% 5.44/4.33 inference(quant_inst,[status(thm)],[])).
% 5.44/4.33 tff(20335,plain,
% 5.44/4.33 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s172) | node26(s172) | (~until27(s172))),
% 5.44/4.33 inference(modus_ponens,[status(thm)],[20334, 20333])).
% 5.44/4.33 tff(20336,plain,
% 5.44/4.33 (xuntil28(s172) | (~until27(s172))),
% 5.44/4.33 inference(unit_resolution,[status(thm)],[20335, 17992, 20329])).
% 5.44/4.33 tff(20337,plain,
% 5.44/4.33 (xuntil28(s172)),
% 5.44/4.33 inference(unit_resolution,[status(thm)],[20336, 20325])).
% 5.44/4.33 tff(20338,plain,
% 5.44/4.33 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s172, s173)) | (~xuntil28(s172)) | until27(s173))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s172, s173)) | (~xuntil28(s172)) | until27(s173))),
% 5.44/4.33 inference(rewrite,[status(thm)],[])).
% 5.44/4.33 tff(20339,plain,
% 5.44/4.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s172, s173)) | (~xuntil28(s172)) | until27(s173))),
% 5.44/4.33 inference(quant_inst,[status(thm)],[])).
% 5.44/4.33 tff(20340,plain,
% 5.44/4.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s172, s173)) | (~xuntil28(s172)) | until27(s173)),
% 5.44/4.33 inference(modus_ponens,[status(thm)],[20339, 20338])).
% 5.44/4.33 tff(20341,plain,
% 5.44/4.33 ((~xuntil28(s172)) | until27(s173)),
% 5.44/4.33 inference(unit_resolution,[status(thm)],[20340, 13997, 18010])).
% 5.44/4.33 tff(20342,plain,
% 5.44/4.33 (until27(s173)),
% 5.44/4.33 inference(unit_resolution,[status(thm)],[20341, 20337])).
% 5.44/4.33 tff(20343,plain,
% 5.44/4.33 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s173) | node26(s173) | (~until27(s173)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s173) | node26(s173) | (~until27(s173)))),
% 5.44/4.33 inference(rewrite,[status(thm)],[])).
% 5.44/4.33 tff(20344,plain,
% 5.44/4.33 ((node26(s173) | (~until27(s173)) | xuntil28(s173)) <=> (xuntil28(s173) | node26(s173) | (~until27(s173)))),
% 5.44/4.33 inference(rewrite,[status(thm)],[])).
% 5.44/4.33 tff(20345,plain,
% 5.44/4.33 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s173) | (~until27(s173)) | xuntil28(s173))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s173) | node26(s173) | (~until27(s173))))),
% 5.44/4.33 inference(monotonicity,[status(thm)],[20344])).
% 5.44/4.33 tff(20346,plain,
% 5.44/4.33 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s173) | (~until27(s173)) | xuntil28(s173))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s173) | node26(s173) | (~until27(s173)))),
% 5.44/4.33 inference(transitivity,[status(thm)],[20345, 20343])).
% 5.44/4.33 tff(20347,plain,
% 5.44/4.33 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s173) | (~until27(s173)) | xuntil28(s173))),
% 5.44/4.33 inference(quant_inst,[status(thm)],[])).
% 5.44/4.33 tff(20348,plain,
% 5.44/4.33 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s173) | node26(s173) | (~until27(s173))),
% 5.44/4.33 inference(modus_ponens,[status(thm)],[20347, 20346])).
% 5.44/4.33 tff(20349,plain,
% 5.44/4.33 (xuntil28(s173)),
% 5.44/4.33 inference(unit_resolution,[status(thm)],[20348, 17992, 20342, 16727])).
% 5.44/4.33 tff(20350,plain,
% 5.44/4.33 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s173, s174)) | (~xuntil28(s173)) | until27(s174))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s173, s174)) | (~xuntil28(s173)) | until27(s174))),
% 5.44/4.33 inference(rewrite,[status(thm)],[])).
% 5.44/4.33 tff(20351,plain,
% 5.44/4.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s173, s174)) | (~xuntil28(s173)) | until27(s174))),
% 5.44/4.33 inference(quant_inst,[status(thm)],[])).
% 5.44/4.33 tff(20352,plain,
% 5.44/4.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s173, s174)) | (~xuntil28(s173)) | until27(s174)),
% 5.44/4.33 inference(modus_ponens,[status(thm)],[20351, 20350])).
% 5.44/4.33 tff(20353,plain,
% 5.44/4.33 ((~xuntil28(s173)) | until27(s174)),
% 5.44/4.33 inference(unit_resolution,[status(thm)],[20352, 14092, 18010])).
% 5.44/4.33 tff(20354,plain,
% 5.44/4.33 (until27(s174)),
% 5.44/4.33 inference(unit_resolution,[status(thm)],[20353, 20349])).
% 5.44/4.33 tff(20355,plain,
% 5.44/4.33 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s174) | node26(s174) | (~until27(s174)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s174) | node26(s174) | (~until27(s174)))),
% 5.44/4.33 inference(rewrite,[status(thm)],[])).
% 5.44/4.33 tff(20356,plain,
% 5.44/4.33 ((node26(s174) | (~until27(s174)) | xuntil28(s174)) <=> (xuntil28(s174) | node26(s174) | (~until27(s174)))),
% 5.44/4.33 inference(rewrite,[status(thm)],[])).
% 5.44/4.33 tff(20357,plain,
% 5.44/4.33 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s174) | (~until27(s174)) | xuntil28(s174))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s174) | node26(s174) | (~until27(s174))))),
% 5.44/4.33 inference(monotonicity,[status(thm)],[20356])).
% 5.44/4.33 tff(20358,plain,
% 5.44/4.33 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s174) | (~until27(s174)) | xuntil28(s174))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s174) | node26(s174) | (~until27(s174)))),
% 5.44/4.33 inference(transitivity,[status(thm)],[20357, 20355])).
% 5.44/4.33 tff(20359,plain,
% 5.44/4.33 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s174) | (~until27(s174)) | xuntil28(s174))),
% 5.44/4.33 inference(quant_inst,[status(thm)],[])).
% 5.44/4.33 tff(20360,plain,
% 5.44/4.33 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s174) | node26(s174) | (~until27(s174))),
% 5.44/4.33 inference(modus_ponens,[status(thm)],[20359, 20358])).
% 5.44/4.33 tff(20361,plain,
% 5.44/4.33 (xuntil28(s174) | node26(s174)),
% 5.44/4.33 inference(unit_resolution,[status(thm)],[20360, 17992, 20354])).
% 5.44/4.33 tff(20362,plain,
% 5.44/4.33 (xuntil28(s174)),
% 5.44/4.33 inference(unit_resolution,[status(thm)],[20361, 16723])).
% 5.44/4.33 tff(20363,plain,
% 5.44/4.33 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s174, s175)) | (~xuntil28(s174)) | until27(s175))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s174, s175)) | (~xuntil28(s174)) | until27(s175))),
% 5.44/4.33 inference(rewrite,[status(thm)],[])).
% 5.44/4.33 tff(20364,plain,
% 5.44/4.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s174, s175)) | (~xuntil28(s174)) | until27(s175))),
% 5.44/4.33 inference(quant_inst,[status(thm)],[])).
% 5.44/4.33 tff(20365,plain,
% 5.44/4.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s174, s175)) | (~xuntil28(s174)) | until27(s175)),
% 5.44/4.33 inference(modus_ponens,[status(thm)],[20364, 20363])).
% 5.44/4.33 tff(20366,plain,
% 5.44/4.33 ((~xuntil28(s174)) | until27(s175)),
% 5.44/4.33 inference(unit_resolution,[status(thm)],[20365, 14156, 18010])).
% 5.44/4.33 tff(20367,plain,
% 5.44/4.33 (until27(s175)),
% 5.44/4.33 inference(unit_resolution,[status(thm)],[20366, 20362])).
% 5.44/4.33 tff(20368,plain,
% 5.44/4.33 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s175) | node26(s175) | (~until27(s175)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s175) | node26(s175) | (~until27(s175)))),
% 5.44/4.33 inference(rewrite,[status(thm)],[])).
% 5.44/4.33 tff(20369,plain,
% 5.44/4.33 ((node26(s175) | (~until27(s175)) | xuntil28(s175)) <=> (xuntil28(s175) | node26(s175) | (~until27(s175)))),
% 5.44/4.33 inference(rewrite,[status(thm)],[])).
% 5.44/4.33 tff(20370,plain,
% 5.44/4.33 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s175) | (~until27(s175)) | xuntil28(s175))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s175) | node26(s175) | (~until27(s175))))),
% 5.44/4.33 inference(monotonicity,[status(thm)],[20369])).
% 5.44/4.33 tff(20371,plain,
% 5.44/4.33 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s175) | (~until27(s175)) | xuntil28(s175))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s175) | node26(s175) | (~until27(s175)))),
% 5.44/4.33 inference(transitivity,[status(thm)],[20370, 20368])).
% 5.44/4.33 tff(20372,plain,
% 5.44/4.33 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s175) | (~until27(s175)) | xuntil28(s175))),
% 5.44/4.33 inference(quant_inst,[status(thm)],[])).
% 5.44/4.33 tff(20373,plain,
% 5.44/4.33 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s175) | node26(s175) | (~until27(s175))),
% 5.44/4.33 inference(modus_ponens,[status(thm)],[20372, 20371])).
% 5.44/4.33 tff(20374,plain,
% 5.44/4.33 (xuntil28(s175)),
% 5.44/4.33 inference(unit_resolution,[status(thm)],[20373, 17992, 20367, 16714])).
% 5.44/4.33 tff(20375,plain,
% 5.44/4.33 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s175, s176)) | (~xuntil28(s175)) | until27(s176))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s175, s176)) | (~xuntil28(s175)) | until27(s176))),
% 5.44/4.33 inference(rewrite,[status(thm)],[])).
% 5.44/4.33 tff(20376,plain,
% 5.44/4.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s175, s176)) | (~xuntil28(s175)) | until27(s176))),
% 5.44/4.33 inference(quant_inst,[status(thm)],[])).
% 5.44/4.33 tff(20377,plain,
% 5.44/4.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s175, s176)) | (~xuntil28(s175)) | until27(s176)),
% 5.44/4.33 inference(modus_ponens,[status(thm)],[20376, 20375])).
% 5.44/4.33 tff(20378,plain,
% 5.44/4.33 ((~xuntil28(s175)) | until27(s176)),
% 5.44/4.33 inference(unit_resolution,[status(thm)],[20377, 14231, 18010])).
% 5.44/4.33 tff(20379,plain,
% 5.44/4.33 (until27(s176)),
% 5.44/4.33 inference(unit_resolution,[status(thm)],[20378, 20374])).
% 5.44/4.33 tff(20380,plain,
% 5.44/4.33 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s176) | (~node26(s176)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s176) | (~node26(s176)))),
% 5.44/4.33 inference(rewrite,[status(thm)],[])).
% 5.44/4.33 tff(20381,plain,
% 5.44/4.33 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s176) | (~node26(s176)))),
% 5.44/4.33 inference(quant_inst,[status(thm)],[])).
% 5.44/4.33 tff(20382,plain,
% 5.44/4.33 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s176) | (~node26(s176))),
% 5.44/4.33 inference(modus_ponens,[status(thm)],[20381, 20380])).
% 5.44/4.33 tff(20383,plain,
% 5.44/4.33 (~node26(s176)),
% 5.44/4.33 inference(unit_resolution,[status(thm)],[20382, 16500, 16705])).
% 5.44/4.33 tff(20384,plain,
% 5.44/4.33 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s176) | node26(s176) | (~until27(s176)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s176) | node26(s176) | (~until27(s176)))),
% 5.44/4.33 inference(rewrite,[status(thm)],[])).
% 5.44/4.33 tff(20385,plain,
% 5.44/4.33 ((node26(s176) | (~until27(s176)) | xuntil28(s176)) <=> (xuntil28(s176) | node26(s176) | (~until27(s176)))),
% 5.44/4.33 inference(rewrite,[status(thm)],[])).
% 5.44/4.33 tff(20386,plain,
% 5.44/4.33 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s176) | (~until27(s176)) | xuntil28(s176))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s176) | node26(s176) | (~until27(s176))))),
% 5.44/4.33 inference(monotonicity,[status(thm)],[20385])).
% 5.44/4.33 tff(20387,plain,
% 5.44/4.33 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s176) | (~until27(s176)) | xuntil28(s176))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s176) | node26(s176) | (~until27(s176)))),
% 5.44/4.33 inference(transitivity,[status(thm)],[20386, 20384])).
% 5.44/4.33 tff(20388,plain,
% 5.44/4.33 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s176) | (~until27(s176)) | xuntil28(s176))),
% 5.44/4.33 inference(quant_inst,[status(thm)],[])).
% 5.44/4.33 tff(20389,plain,
% 5.44/4.33 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s176) | node26(s176) | (~until27(s176))),
% 5.44/4.33 inference(modus_ponens,[status(thm)],[20388, 20387])).
% 5.44/4.33 tff(20390,plain,
% 5.44/4.33 (xuntil28(s176) | (~until27(s176))),
% 5.44/4.33 inference(unit_resolution,[status(thm)],[20389, 17992, 20383])).
% 5.44/4.33 tff(20391,plain,
% 5.44/4.33 (xuntil28(s176)),
% 5.44/4.33 inference(unit_resolution,[status(thm)],[20390, 20379])).
% 5.44/4.33 tff(20392,plain,
% 5.44/4.33 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s176, s177)) | (~xuntil28(s176)) | until27(s177))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s176, s177)) | (~xuntil28(s176)) | until27(s177))),
% 5.44/4.33 inference(rewrite,[status(thm)],[])).
% 5.44/4.33 tff(20393,plain,
% 5.44/4.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s176, s177)) | (~xuntil28(s176)) | until27(s177))),
% 5.44/4.33 inference(quant_inst,[status(thm)],[])).
% 5.44/4.33 tff(20394,plain,
% 5.44/4.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s176, s177)) | (~xuntil28(s176)) | until27(s177)),
% 5.44/4.33 inference(modus_ponens,[status(thm)],[20393, 20392])).
% 5.44/4.33 tff(20395,plain,
% 5.44/4.33 ((~xuntil28(s176)) | until27(s177)),
% 5.44/4.33 inference(unit_resolution,[status(thm)],[20394, 14320, 18010])).
% 5.44/4.33 tff(20396,plain,
% 5.44/4.33 (until27(s177)),
% 5.44/4.33 inference(unit_resolution,[status(thm)],[20395, 20391])).
% 5.44/4.33 tff(20397,plain,
% 5.44/4.33 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s177) | node26(s177) | (~until27(s177)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s177) | node26(s177) | (~until27(s177)))),
% 5.44/4.33 inference(rewrite,[status(thm)],[])).
% 5.44/4.33 tff(20398,plain,
% 5.44/4.33 ((node26(s177) | (~until27(s177)) | xuntil28(s177)) <=> (xuntil28(s177) | node26(s177) | (~until27(s177)))),
% 5.44/4.33 inference(rewrite,[status(thm)],[])).
% 5.44/4.33 tff(20399,plain,
% 5.44/4.33 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s177) | (~until27(s177)) | xuntil28(s177))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s177) | node26(s177) | (~until27(s177))))),
% 5.44/4.33 inference(monotonicity,[status(thm)],[20398])).
% 5.44/4.33 tff(20400,plain,
% 5.44/4.33 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s177) | (~until27(s177)) | xuntil28(s177))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s177) | node26(s177) | (~until27(s177)))),
% 5.44/4.33 inference(transitivity,[status(thm)],[20399, 20397])).
% 5.44/4.33 tff(20401,plain,
% 5.44/4.33 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s177) | (~until27(s177)) | xuntil28(s177))),
% 5.44/4.33 inference(quant_inst,[status(thm)],[])).
% 5.44/4.33 tff(20402,plain,
% 5.44/4.33 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s177) | node26(s177) | (~until27(s177))),
% 5.44/4.33 inference(modus_ponens,[status(thm)],[20401, 20400])).
% 5.44/4.33 tff(20403,plain,
% 5.44/4.33 (xuntil28(s177)),
% 5.44/4.33 inference(unit_resolution,[status(thm)],[20402, 17992, 20396, 16698])).
% 5.44/4.33 tff(20404,plain,
% 5.44/4.33 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s177, s178)) | (~xuntil28(s177)) | until27(s178))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s177, s178)) | (~xuntil28(s177)) | until27(s178))),
% 5.44/4.33 inference(rewrite,[status(thm)],[])).
% 5.44/4.33 tff(20405,plain,
% 5.44/4.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s177, s178)) | (~xuntil28(s177)) | until27(s178))),
% 5.44/4.33 inference(quant_inst,[status(thm)],[])).
% 5.44/4.33 tff(20406,plain,
% 5.44/4.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s177, s178)) | (~xuntil28(s177)) | until27(s178)),
% 5.44/4.33 inference(modus_ponens,[status(thm)],[20405, 20404])).
% 5.44/4.33 tff(20407,plain,
% 5.44/4.33 ((~xuntil28(s177)) | until27(s178)),
% 5.44/4.33 inference(unit_resolution,[status(thm)],[20406, 14387, 18010])).
% 5.44/4.33 tff(20408,plain,
% 5.44/4.33 (until27(s178)),
% 5.44/4.33 inference(unit_resolution,[status(thm)],[20407, 20403])).
% 5.44/4.33 tff(20409,plain,
% 5.44/4.33 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s178) | node26(s178) | (~until27(s178)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s178) | node26(s178) | (~until27(s178)))),
% 5.44/4.33 inference(rewrite,[status(thm)],[])).
% 5.44/4.33 tff(20410,plain,
% 5.44/4.33 ((node26(s178) | (~until27(s178)) | xuntil28(s178)) <=> (xuntil28(s178) | node26(s178) | (~until27(s178)))),
% 5.44/4.33 inference(rewrite,[status(thm)],[])).
% 5.44/4.33 tff(20411,plain,
% 5.44/4.33 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s178) | (~until27(s178)) | xuntil28(s178))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s178) | node26(s178) | (~until27(s178))))),
% 5.44/4.33 inference(monotonicity,[status(thm)],[20410])).
% 5.44/4.33 tff(20412,plain,
% 5.44/4.33 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s178) | (~until27(s178)) | xuntil28(s178))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s178) | node26(s178) | (~until27(s178)))),
% 5.44/4.33 inference(transitivity,[status(thm)],[20411, 20409])).
% 5.44/4.33 tff(20413,plain,
% 5.44/4.33 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s178) | (~until27(s178)) | xuntil28(s178))),
% 5.44/4.33 inference(quant_inst,[status(thm)],[])).
% 5.44/4.33 tff(20414,plain,
% 5.44/4.33 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s178) | node26(s178) | (~until27(s178))),
% 5.44/4.33 inference(modus_ponens,[status(thm)],[20413, 20412])).
% 5.44/4.33 tff(20415,plain,
% 5.44/4.33 (xuntil28(s178) | node26(s178)),
% 5.44/4.33 inference(unit_resolution,[status(thm)],[20414, 17992, 20408])).
% 5.44/4.33 tff(20416,plain,
% 5.44/4.33 (xuntil28(s178)),
% 5.44/4.33 inference(unit_resolution,[status(thm)],[20415, 16694])).
% 5.44/4.33 tff(20417,plain,
% 5.44/4.33 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s178, s179)) | (~xuntil28(s178)) | until27(s179))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s178, s179)) | (~xuntil28(s178)) | until27(s179))),
% 5.44/4.33 inference(rewrite,[status(thm)],[])).
% 5.44/4.33 tff(20418,plain,
% 5.44/4.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s178, s179)) | (~xuntil28(s178)) | until27(s179))),
% 5.44/4.33 inference(quant_inst,[status(thm)],[])).
% 5.44/4.33 tff(20419,plain,
% 5.44/4.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s178, s179)) | (~xuntil28(s178)) | until27(s179)),
% 5.44/4.33 inference(modus_ponens,[status(thm)],[20418, 20417])).
% 5.44/4.33 tff(20420,plain,
% 5.44/4.33 ((~xuntil28(s178)) | until27(s179)),
% 5.44/4.33 inference(unit_resolution,[status(thm)],[20419, 14486, 18010])).
% 5.44/4.33 tff(20421,plain,
% 5.44/4.33 (until27(s179)),
% 5.44/4.33 inference(unit_resolution,[status(thm)],[20420, 20416])).
% 5.44/4.33 tff(20422,plain,
% 5.44/4.33 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s179) | node26(s179) | (~until27(s179)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s179) | node26(s179) | (~until27(s179)))),
% 5.44/4.33 inference(rewrite,[status(thm)],[])).
% 5.44/4.33 tff(20423,plain,
% 5.44/4.33 ((node26(s179) | (~until27(s179)) | xuntil28(s179)) <=> (xuntil28(s179) | node26(s179) | (~until27(s179)))),
% 5.44/4.33 inference(rewrite,[status(thm)],[])).
% 5.44/4.33 tff(20424,plain,
% 5.44/4.33 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s179) | (~until27(s179)) | xuntil28(s179))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s179) | node26(s179) | (~until27(s179))))),
% 5.44/4.33 inference(monotonicity,[status(thm)],[20423])).
% 5.44/4.33 tff(20425,plain,
% 5.44/4.33 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s179) | (~until27(s179)) | xuntil28(s179))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s179) | node26(s179) | (~until27(s179)))),
% 5.44/4.33 inference(transitivity,[status(thm)],[20424, 20422])).
% 5.44/4.33 tff(20426,plain,
% 5.44/4.33 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s179) | (~until27(s179)) | xuntil28(s179))),
% 5.44/4.33 inference(quant_inst,[status(thm)],[])).
% 5.44/4.33 tff(20427,plain,
% 5.44/4.33 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s179) | node26(s179) | (~until27(s179))),
% 5.44/4.33 inference(modus_ponens,[status(thm)],[20426, 20425])).
% 5.44/4.33 tff(20428,plain,
% 5.44/4.33 (xuntil28(s179)),
% 5.44/4.33 inference(unit_resolution,[status(thm)],[20427, 17992, 20421, 16685])).
% 5.44/4.33 tff(20429,plain,
% 5.44/4.33 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s179, s180)) | (~xuntil28(s179)) | until27(s180))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s179, s180)) | (~xuntil28(s179)) | until27(s180))),
% 5.44/4.33 inference(rewrite,[status(thm)],[])).
% 5.44/4.33 tff(20430,plain,
% 5.44/4.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s179, s180)) | (~xuntil28(s179)) | until27(s180))),
% 5.44/4.33 inference(quant_inst,[status(thm)],[])).
% 5.44/4.33 tff(20431,plain,
% 5.44/4.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s179, s180)) | (~xuntil28(s179)) | until27(s180)),
% 5.44/4.33 inference(modus_ponens,[status(thm)],[20430, 20429])).
% 5.44/4.33 tff(20432,plain,
% 5.44/4.33 ((~xuntil28(s179)) | until27(s180)),
% 5.44/4.33 inference(unit_resolution,[status(thm)],[20431, 14564, 18010])).
% 5.44/4.33 tff(20433,plain,
% 5.44/4.33 (until27(s180)),
% 5.44/4.33 inference(unit_resolution,[status(thm)],[20432, 20428])).
% 5.44/4.33 tff(20434,plain,
% 5.44/4.33 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s180) | (~node26(s180)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s180) | (~node26(s180)))),
% 5.44/4.33 inference(rewrite,[status(thm)],[])).
% 5.44/4.33 tff(20435,plain,
% 5.44/4.33 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s180) | (~node26(s180)))),
% 5.44/4.33 inference(quant_inst,[status(thm)],[])).
% 5.44/4.33 tff(20436,plain,
% 5.44/4.33 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s180) | (~node26(s180))),
% 5.44/4.33 inference(modus_ponens,[status(thm)],[20435, 20434])).
% 5.44/4.33 tff(20437,plain,
% 5.44/4.33 (~node26(s180)),
% 5.44/4.33 inference(unit_resolution,[status(thm)],[20436, 16500, 16676])).
% 5.44/4.33 tff(20438,plain,
% 5.44/4.33 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s180) | node26(s180) | (~until27(s180)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s180) | node26(s180) | (~until27(s180)))),
% 5.44/4.33 inference(rewrite,[status(thm)],[])).
% 5.44/4.33 tff(20439,plain,
% 5.44/4.33 ((node26(s180) | (~until27(s180)) | xuntil28(s180)) <=> (xuntil28(s180) | node26(s180) | (~until27(s180)))),
% 5.44/4.33 inference(rewrite,[status(thm)],[])).
% 5.44/4.33 tff(20440,plain,
% 5.44/4.33 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s180) | (~until27(s180)) | xuntil28(s180))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s180) | node26(s180) | (~until27(s180))))),
% 5.44/4.33 inference(monotonicity,[status(thm)],[20439])).
% 5.44/4.33 tff(20441,plain,
% 5.44/4.33 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s180) | (~until27(s180)) | xuntil28(s180))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s180) | node26(s180) | (~until27(s180)))),
% 5.44/4.33 inference(transitivity,[status(thm)],[20440, 20438])).
% 5.44/4.33 tff(20442,plain,
% 5.44/4.33 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s180) | (~until27(s180)) | xuntil28(s180))),
% 5.44/4.33 inference(quant_inst,[status(thm)],[])).
% 5.44/4.33 tff(20443,plain,
% 5.44/4.33 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s180) | node26(s180) | (~until27(s180))),
% 5.44/4.33 inference(modus_ponens,[status(thm)],[20442, 20441])).
% 5.44/4.33 tff(20444,plain,
% 5.44/4.33 (xuntil28(s180) | (~until27(s180))),
% 5.44/4.33 inference(unit_resolution,[status(thm)],[20443, 17992, 20437])).
% 5.44/4.33 tff(20445,plain,
% 5.44/4.33 (xuntil28(s180)),
% 5.44/4.33 inference(unit_resolution,[status(thm)],[20444, 20433])).
% 5.44/4.33 tff(20446,plain,
% 5.44/4.33 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s180, s181)) | (~xuntil28(s180)) | until27(s181))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s180, s181)) | (~xuntil28(s180)) | until27(s181))),
% 5.44/4.33 inference(rewrite,[status(thm)],[])).
% 5.44/4.33 tff(20447,plain,
% 5.44/4.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s180, s181)) | (~xuntil28(s180)) | until27(s181))),
% 5.44/4.33 inference(quant_inst,[status(thm)],[])).
% 5.44/4.33 tff(20448,plain,
% 5.44/4.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s180, s181)) | (~xuntil28(s180)) | until27(s181)),
% 5.44/4.33 inference(modus_ponens,[status(thm)],[20447, 20446])).
% 5.44/4.33 tff(20449,plain,
% 5.44/4.33 ((~xuntil28(s180)) | until27(s181)),
% 5.44/4.33 inference(unit_resolution,[status(thm)],[20448, 14625, 18010])).
% 5.44/4.33 tff(20450,plain,
% 5.44/4.33 (until27(s181)),
% 5.44/4.33 inference(unit_resolution,[status(thm)],[20449, 20445])).
% 5.44/4.33 tff(20451,plain,
% 5.44/4.33 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s181) | node26(s181) | (~until27(s181)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s181) | node26(s181) | (~until27(s181)))),
% 5.44/4.33 inference(rewrite,[status(thm)],[])).
% 5.44/4.33 tff(20452,plain,
% 5.44/4.33 ((node26(s181) | (~until27(s181)) | xuntil28(s181)) <=> (xuntil28(s181) | node26(s181) | (~until27(s181)))),
% 5.44/4.33 inference(rewrite,[status(thm)],[])).
% 5.44/4.33 tff(20453,plain,
% 5.44/4.33 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s181) | (~until27(s181)) | xuntil28(s181))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s181) | node26(s181) | (~until27(s181))))),
% 5.44/4.33 inference(monotonicity,[status(thm)],[20452])).
% 5.44/4.33 tff(20454,plain,
% 5.44/4.33 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s181) | (~until27(s181)) | xuntil28(s181))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s181) | node26(s181) | (~until27(s181)))),
% 5.44/4.33 inference(transitivity,[status(thm)],[20453, 20451])).
% 5.44/4.33 tff(20455,plain,
% 5.44/4.33 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s181) | (~until27(s181)) | xuntil28(s181))),
% 5.44/4.33 inference(quant_inst,[status(thm)],[])).
% 5.44/4.33 tff(20456,plain,
% 5.44/4.33 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s181) | node26(s181) | (~until27(s181))),
% 5.44/4.33 inference(modus_ponens,[status(thm)],[20455, 20454])).
% 5.44/4.33 tff(20457,plain,
% 5.44/4.33 (xuntil28(s181)),
% 5.44/4.33 inference(unit_resolution,[status(thm)],[20456, 17992, 20450, 16669])).
% 5.44/4.33 tff(20458,plain,
% 5.44/4.33 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s181, s182)) | (~xuntil28(s181)) | until27(s182))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s181, s182)) | (~xuntil28(s181)) | until27(s182))),
% 5.44/4.33 inference(rewrite,[status(thm)],[])).
% 5.44/4.33 tff(20459,plain,
% 5.44/4.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s181, s182)) | (~xuntil28(s181)) | until27(s182))),
% 5.44/4.33 inference(quant_inst,[status(thm)],[])).
% 5.44/4.33 tff(20460,plain,
% 5.44/4.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s181, s182)) | (~xuntil28(s181)) | until27(s182)),
% 5.44/4.33 inference(modus_ponens,[status(thm)],[20459, 20458])).
% 5.44/4.33 tff(20461,plain,
% 5.44/4.33 ((~xuntil28(s181)) | until27(s182)),
% 5.44/4.33 inference(unit_resolution,[status(thm)],[20460, 14720, 18010])).
% 5.44/4.33 tff(20462,plain,
% 5.44/4.33 (until27(s182)),
% 5.44/4.33 inference(unit_resolution,[status(thm)],[20461, 20457])).
% 5.44/4.33 tff(20463,plain,
% 5.44/4.33 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s182) | node26(s182) | (~until27(s182)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s182) | node26(s182) | (~until27(s182)))),
% 5.44/4.33 inference(rewrite,[status(thm)],[])).
% 5.44/4.33 tff(20464,plain,
% 5.44/4.33 ((node26(s182) | (~until27(s182)) | xuntil28(s182)) <=> (xuntil28(s182) | node26(s182) | (~until27(s182)))),
% 5.44/4.33 inference(rewrite,[status(thm)],[])).
% 5.44/4.33 tff(20465,plain,
% 5.44/4.33 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s182) | (~until27(s182)) | xuntil28(s182))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s182) | node26(s182) | (~until27(s182))))),
% 5.44/4.33 inference(monotonicity,[status(thm)],[20464])).
% 5.44/4.33 tff(20466,plain,
% 5.44/4.33 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s182) | (~until27(s182)) | xuntil28(s182))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s182) | node26(s182) | (~until27(s182)))),
% 5.44/4.33 inference(transitivity,[status(thm)],[20465, 20463])).
% 5.44/4.33 tff(20467,plain,
% 5.44/4.33 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s182) | (~until27(s182)) | xuntil28(s182))),
% 5.44/4.33 inference(quant_inst,[status(thm)],[])).
% 5.44/4.33 tff(20468,plain,
% 5.44/4.33 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s182) | node26(s182) | (~until27(s182))),
% 5.44/4.33 inference(modus_ponens,[status(thm)],[20467, 20466])).
% 5.44/4.33 tff(20469,plain,
% 5.44/4.33 (xuntil28(s182) | node26(s182)),
% 5.44/4.33 inference(unit_resolution,[status(thm)],[20468, 17992, 20462])).
% 5.44/4.33 tff(20470,plain,
% 5.44/4.33 (xuntil28(s182)),
% 5.44/4.33 inference(unit_resolution,[status(thm)],[20469, 16665])).
% 5.44/4.33 tff(20471,plain,
% 5.44/4.33 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s182, s183)) | (~xuntil28(s182)) | until27(s183))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s182, s183)) | (~xuntil28(s182)) | until27(s183))),
% 5.44/4.33 inference(rewrite,[status(thm)],[])).
% 5.44/4.33 tff(20472,plain,
% 5.44/4.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s182, s183)) | (~xuntil28(s182)) | until27(s183))),
% 5.44/4.33 inference(quant_inst,[status(thm)],[])).
% 5.44/4.33 tff(20473,plain,
% 5.44/4.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s182, s183)) | (~xuntil28(s182)) | until27(s183)),
% 5.44/4.33 inference(modus_ponens,[status(thm)],[20472, 20471])).
% 5.44/4.33 tff(20474,plain,
% 5.44/4.33 ((~xuntil28(s182)) | until27(s183)),
% 5.44/4.33 inference(unit_resolution,[status(thm)],[20473, 14784, 18010])).
% 5.44/4.33 tff(20475,plain,
% 5.44/4.33 (until27(s183)),
% 5.44/4.33 inference(unit_resolution,[status(thm)],[20474, 20470])).
% 5.44/4.33 tff(20476,plain,
% 5.44/4.33 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s183) | node26(s183) | (~until27(s183)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s183) | node26(s183) | (~until27(s183)))),
% 5.44/4.33 inference(rewrite,[status(thm)],[])).
% 5.44/4.33 tff(20477,plain,
% 5.44/4.33 ((node26(s183) | (~until27(s183)) | xuntil28(s183)) <=> (xuntil28(s183) | node26(s183) | (~until27(s183)))),
% 5.44/4.33 inference(rewrite,[status(thm)],[])).
% 5.44/4.33 tff(20478,plain,
% 5.44/4.33 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s183) | (~until27(s183)) | xuntil28(s183))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s183) | node26(s183) | (~until27(s183))))),
% 5.44/4.33 inference(monotonicity,[status(thm)],[20477])).
% 5.44/4.33 tff(20479,plain,
% 5.44/4.33 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s183) | (~until27(s183)) | xuntil28(s183))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s183) | node26(s183) | (~until27(s183)))),
% 5.44/4.33 inference(transitivity,[status(thm)],[20478, 20476])).
% 5.44/4.33 tff(20480,plain,
% 5.44/4.33 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s183) | (~until27(s183)) | xuntil28(s183))),
% 5.44/4.33 inference(quant_inst,[status(thm)],[])).
% 5.44/4.33 tff(20481,plain,
% 5.44/4.33 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s183) | node26(s183) | (~until27(s183))),
% 5.44/4.33 inference(modus_ponens,[status(thm)],[20480, 20479])).
% 5.44/4.33 tff(20482,plain,
% 5.44/4.33 (xuntil28(s183)),
% 5.44/4.33 inference(unit_resolution,[status(thm)],[20481, 17992, 20475, 16656])).
% 5.44/4.33 tff(20483,plain,
% 5.44/4.33 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s183, s184)) | (~xuntil28(s183)) | until27(s184))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s183, s184)) | (~xuntil28(s183)) | until27(s184))),
% 5.44/4.33 inference(rewrite,[status(thm)],[])).
% 5.44/4.33 tff(20484,plain,
% 5.44/4.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s183, s184)) | (~xuntil28(s183)) | until27(s184))),
% 5.44/4.33 inference(quant_inst,[status(thm)],[])).
% 5.44/4.33 tff(20485,plain,
% 5.44/4.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s183, s184)) | (~xuntil28(s183)) | until27(s184)),
% 5.44/4.33 inference(modus_ponens,[status(thm)],[20484, 20483])).
% 5.44/4.33 tff(20486,plain,
% 5.44/4.33 ((~xuntil28(s183)) | until27(s184)),
% 5.44/4.33 inference(unit_resolution,[status(thm)],[20485, 14859, 18010])).
% 5.44/4.33 tff(20487,plain,
% 5.44/4.33 (until27(s184)),
% 5.44/4.33 inference(unit_resolution,[status(thm)],[20486, 20482])).
% 5.44/4.33 tff(20488,plain,
% 5.44/4.33 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s184) | (~node26(s184)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s184) | (~node26(s184)))),
% 5.44/4.33 inference(rewrite,[status(thm)],[])).
% 5.44/4.33 tff(20489,plain,
% 5.44/4.33 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s184) | (~node26(s184)))),
% 5.44/4.33 inference(quant_inst,[status(thm)],[])).
% 5.44/4.33 tff(20490,plain,
% 5.44/4.33 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s184) | (~node26(s184))),
% 5.44/4.33 inference(modus_ponens,[status(thm)],[20489, 20488])).
% 5.44/4.33 tff(20491,plain,
% 5.44/4.33 (~node26(s184)),
% 5.44/4.33 inference(unit_resolution,[status(thm)],[20490, 16500, 16647])).
% 5.44/4.33 tff(20492,plain,
% 5.44/4.33 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s184) | node26(s184) | (~until27(s184)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s184) | node26(s184) | (~until27(s184)))),
% 5.44/4.33 inference(rewrite,[status(thm)],[])).
% 5.44/4.33 tff(20493,plain,
% 5.44/4.33 ((node26(s184) | (~until27(s184)) | xuntil28(s184)) <=> (xuntil28(s184) | node26(s184) | (~until27(s184)))),
% 5.44/4.33 inference(rewrite,[status(thm)],[])).
% 5.44/4.33 tff(20494,plain,
% 5.44/4.33 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s184) | (~until27(s184)) | xuntil28(s184))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s184) | node26(s184) | (~until27(s184))))),
% 5.44/4.33 inference(monotonicity,[status(thm)],[20493])).
% 5.44/4.33 tff(20495,plain,
% 5.44/4.33 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s184) | (~until27(s184)) | xuntil28(s184))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s184) | node26(s184) | (~until27(s184)))),
% 5.44/4.33 inference(transitivity,[status(thm)],[20494, 20492])).
% 5.44/4.33 tff(20496,plain,
% 5.44/4.33 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s184) | (~until27(s184)) | xuntil28(s184))),
% 5.44/4.34 inference(quant_inst,[status(thm)],[])).
% 5.44/4.34 tff(20497,plain,
% 5.44/4.34 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s184) | node26(s184) | (~until27(s184))),
% 5.44/4.34 inference(modus_ponens,[status(thm)],[20496, 20495])).
% 5.44/4.34 tff(20498,plain,
% 5.44/4.34 (xuntil28(s184) | (~until27(s184))),
% 5.44/4.34 inference(unit_resolution,[status(thm)],[20497, 17992, 20491])).
% 5.44/4.34 tff(20499,plain,
% 5.44/4.34 (xuntil28(s184)),
% 5.44/4.34 inference(unit_resolution,[status(thm)],[20498, 20487])).
% 5.44/4.34 tff(20500,plain,
% 5.44/4.34 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s184, s185)) | (~xuntil28(s184)) | until27(s185))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s184, s185)) | (~xuntil28(s184)) | until27(s185))),
% 5.44/4.34 inference(rewrite,[status(thm)],[])).
% 5.44/4.34 tff(20501,plain,
% 5.44/4.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s184, s185)) | (~xuntil28(s184)) | until27(s185))),
% 5.44/4.34 inference(quant_inst,[status(thm)],[])).
% 5.44/4.34 tff(20502,plain,
% 5.44/4.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s184, s185)) | (~xuntil28(s184)) | until27(s185)),
% 5.44/4.34 inference(modus_ponens,[status(thm)],[20501, 20500])).
% 5.44/4.34 tff(20503,plain,
% 5.44/4.34 ((~xuntil28(s184)) | until27(s185)),
% 5.44/4.34 inference(unit_resolution,[status(thm)],[20502, 14948, 18010])).
% 5.44/4.34 tff(20504,plain,
% 5.44/4.34 (until27(s185)),
% 5.44/4.34 inference(unit_resolution,[status(thm)],[20503, 20499])).
% 5.44/4.34 tff(20505,plain,
% 5.44/4.34 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s185) | node26(s185) | (~until27(s185)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s185) | node26(s185) | (~until27(s185)))),
% 5.44/4.34 inference(rewrite,[status(thm)],[])).
% 5.44/4.34 tff(20506,plain,
% 5.44/4.34 ((node26(s185) | (~until27(s185)) | xuntil28(s185)) <=> (xuntil28(s185) | node26(s185) | (~until27(s185)))),
% 5.44/4.34 inference(rewrite,[status(thm)],[])).
% 5.44/4.34 tff(20507,plain,
% 5.44/4.34 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s185) | (~until27(s185)) | xuntil28(s185))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s185) | node26(s185) | (~until27(s185))))),
% 5.44/4.34 inference(monotonicity,[status(thm)],[20506])).
% 5.44/4.34 tff(20508,plain,
% 5.44/4.34 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s185) | (~until27(s185)) | xuntil28(s185))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s185) | node26(s185) | (~until27(s185)))),
% 5.44/4.34 inference(transitivity,[status(thm)],[20507, 20505])).
% 5.44/4.34 tff(20509,plain,
% 5.44/4.34 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s185) | (~until27(s185)) | xuntil28(s185))),
% 5.44/4.34 inference(quant_inst,[status(thm)],[])).
% 5.44/4.34 tff(20510,plain,
% 5.44/4.34 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s185) | node26(s185) | (~until27(s185))),
% 5.44/4.34 inference(modus_ponens,[status(thm)],[20509, 20508])).
% 5.44/4.34 tff(20511,plain,
% 5.44/4.34 (xuntil28(s185)),
% 5.44/4.34 inference(unit_resolution,[status(thm)],[20510, 17992, 20504, 16640])).
% 5.44/4.34 tff(20512,plain,
% 5.44/4.34 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s185, s186)) | (~xuntil28(s185)) | until27(s186))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s185, s186)) | (~xuntil28(s185)) | until27(s186))),
% 5.44/4.34 inference(rewrite,[status(thm)],[])).
% 5.44/4.34 tff(20513,plain,
% 5.44/4.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s185, s186)) | (~xuntil28(s185)) | until27(s186))),
% 5.44/4.34 inference(quant_inst,[status(thm)],[])).
% 5.44/4.34 tff(20514,plain,
% 5.44/4.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s185, s186)) | (~xuntil28(s185)) | until27(s186)),
% 5.44/4.34 inference(modus_ponens,[status(thm)],[20513, 20512])).
% 5.44/4.34 tff(20515,plain,
% 5.44/4.34 ((~xuntil28(s185)) | until27(s186)),
% 5.44/4.34 inference(unit_resolution,[status(thm)],[20514, 15015, 18010])).
% 5.44/4.34 tff(20516,plain,
% 5.44/4.34 (until27(s186)),
% 5.44/4.34 inference(unit_resolution,[status(thm)],[20515, 20511])).
% 5.44/4.34 tff(20517,plain,
% 5.44/4.34 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s186) | node26(s186) | (~until27(s186)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s186) | node26(s186) | (~until27(s186)))),
% 5.44/4.34 inference(rewrite,[status(thm)],[])).
% 5.44/4.34 tff(20518,plain,
% 5.44/4.34 ((node26(s186) | (~until27(s186)) | xuntil28(s186)) <=> (xuntil28(s186) | node26(s186) | (~until27(s186)))),
% 5.44/4.34 inference(rewrite,[status(thm)],[])).
% 5.44/4.34 tff(20519,plain,
% 5.44/4.34 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s186) | (~until27(s186)) | xuntil28(s186))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s186) | node26(s186) | (~until27(s186))))),
% 5.44/4.34 inference(monotonicity,[status(thm)],[20518])).
% 5.44/4.34 tff(20520,plain,
% 5.44/4.34 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s186) | (~until27(s186)) | xuntil28(s186))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s186) | node26(s186) | (~until27(s186)))),
% 5.44/4.34 inference(transitivity,[status(thm)],[20519, 20517])).
% 5.44/4.34 tff(20521,plain,
% 5.44/4.34 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s186) | (~until27(s186)) | xuntil28(s186))),
% 5.44/4.34 inference(quant_inst,[status(thm)],[])).
% 5.44/4.34 tff(20522,plain,
% 5.44/4.34 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s186) | node26(s186) | (~until27(s186))),
% 5.44/4.34 inference(modus_ponens,[status(thm)],[20521, 20520])).
% 5.44/4.34 tff(20523,plain,
% 5.44/4.34 (xuntil28(s186) | node26(s186)),
% 5.44/4.34 inference(unit_resolution,[status(thm)],[20522, 17992, 20516])).
% 5.44/4.34 tff(20524,plain,
% 5.44/4.34 (xuntil28(s186)),
% 5.44/4.34 inference(unit_resolution,[status(thm)],[20523, 16636])).
% 5.44/4.34 tff(20525,plain,
% 5.44/4.34 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s186, s187)) | (~xuntil28(s186)) | until27(s187))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s186, s187)) | (~xuntil28(s186)) | until27(s187))),
% 5.44/4.34 inference(rewrite,[status(thm)],[])).
% 5.44/4.34 tff(20526,plain,
% 5.44/4.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s186, s187)) | (~xuntil28(s186)) | until27(s187))),
% 5.44/4.34 inference(quant_inst,[status(thm)],[])).
% 5.44/4.34 tff(20527,plain,
% 5.44/4.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s186, s187)) | (~xuntil28(s186)) | until27(s187)),
% 5.44/4.34 inference(modus_ponens,[status(thm)],[20526, 20525])).
% 5.44/4.34 tff(20528,plain,
% 5.44/4.34 ((~xuntil28(s186)) | until27(s187)),
% 5.44/4.34 inference(unit_resolution,[status(thm)],[20527, 15114, 18010])).
% 5.44/4.34 tff(20529,plain,
% 5.44/4.34 (until27(s187)),
% 5.44/4.34 inference(unit_resolution,[status(thm)],[20528, 20524])).
% 5.44/4.34 tff(20530,plain,
% 5.44/4.34 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s187) | node26(s187) | (~until27(s187)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s187) | node26(s187) | (~until27(s187)))),
% 5.44/4.34 inference(rewrite,[status(thm)],[])).
% 5.44/4.34 tff(20531,plain,
% 5.44/4.34 ((node26(s187) | (~until27(s187)) | xuntil28(s187)) <=> (xuntil28(s187) | node26(s187) | (~until27(s187)))),
% 5.44/4.34 inference(rewrite,[status(thm)],[])).
% 5.44/4.34 tff(20532,plain,
% 5.44/4.34 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s187) | (~until27(s187)) | xuntil28(s187))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s187) | node26(s187) | (~until27(s187))))),
% 5.44/4.34 inference(monotonicity,[status(thm)],[20531])).
% 5.44/4.34 tff(20533,plain,
% 5.44/4.34 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s187) | (~until27(s187)) | xuntil28(s187))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s187) | node26(s187) | (~until27(s187)))),
% 5.44/4.34 inference(transitivity,[status(thm)],[20532, 20530])).
% 5.44/4.34 tff(20534,plain,
% 5.44/4.34 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s187) | (~until27(s187)) | xuntil28(s187))),
% 5.44/4.34 inference(quant_inst,[status(thm)],[])).
% 5.44/4.34 tff(20535,plain,
% 5.44/4.34 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s187) | node26(s187) | (~until27(s187))),
% 5.44/4.34 inference(modus_ponens,[status(thm)],[20534, 20533])).
% 5.44/4.34 tff(20536,plain,
% 5.44/4.34 (xuntil28(s187)),
% 5.44/4.34 inference(unit_resolution,[status(thm)],[20535, 17992, 20529, 16627])).
% 5.44/4.34 tff(20537,plain,
% 5.44/4.34 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s187, s188)) | (~xuntil28(s187)) | until27(s188))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s187, s188)) | (~xuntil28(s187)) | until27(s188))),
% 5.44/4.34 inference(rewrite,[status(thm)],[])).
% 5.44/4.34 tff(20538,plain,
% 5.44/4.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s187, s188)) | (~xuntil28(s187)) | until27(s188))),
% 5.44/4.34 inference(quant_inst,[status(thm)],[])).
% 5.44/4.34 tff(20539,plain,
% 5.44/4.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s187, s188)) | (~xuntil28(s187)) | until27(s188)),
% 5.44/4.34 inference(modus_ponens,[status(thm)],[20538, 20537])).
% 5.44/4.34 tff(20540,plain,
% 5.44/4.34 ((~xuntil28(s187)) | until27(s188)),
% 5.44/4.34 inference(unit_resolution,[status(thm)],[20539, 15192, 18010])).
% 5.44/4.34 tff(20541,plain,
% 5.44/4.34 (until27(s188)),
% 5.44/4.34 inference(unit_resolution,[status(thm)],[20540, 20536])).
% 5.44/4.34 tff(20542,plain,
% 5.44/4.34 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s188) | (~node26(s188)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s188) | (~node26(s188)))),
% 5.44/4.34 inference(rewrite,[status(thm)],[])).
% 5.44/4.34 tff(20543,plain,
% 5.44/4.34 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s188) | (~node26(s188)))),
% 5.44/4.34 inference(quant_inst,[status(thm)],[])).
% 5.44/4.34 tff(20544,plain,
% 5.44/4.34 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s188) | (~node26(s188))),
% 5.44/4.34 inference(modus_ponens,[status(thm)],[20543, 20542])).
% 5.44/4.34 tff(20545,plain,
% 5.44/4.34 (~node26(s188)),
% 5.44/4.34 inference(unit_resolution,[status(thm)],[20544, 16500, 16618])).
% 5.44/4.34 tff(20546,plain,
% 5.44/4.34 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s188) | node26(s188) | (~until27(s188)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s188) | node26(s188) | (~until27(s188)))),
% 5.44/4.34 inference(rewrite,[status(thm)],[])).
% 5.44/4.34 tff(20547,plain,
% 5.44/4.34 ((node26(s188) | (~until27(s188)) | xuntil28(s188)) <=> (xuntil28(s188) | node26(s188) | (~until27(s188)))),
% 5.44/4.34 inference(rewrite,[status(thm)],[])).
% 5.44/4.34 tff(20548,plain,
% 5.44/4.34 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s188) | (~until27(s188)) | xuntil28(s188))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s188) | node26(s188) | (~until27(s188))))),
% 5.44/4.34 inference(monotonicity,[status(thm)],[20547])).
% 5.44/4.34 tff(20549,plain,
% 5.44/4.34 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s188) | (~until27(s188)) | xuntil28(s188))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s188) | node26(s188) | (~until27(s188)))),
% 5.44/4.34 inference(transitivity,[status(thm)],[20548, 20546])).
% 5.44/4.34 tff(20550,plain,
% 5.44/4.34 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s188) | (~until27(s188)) | xuntil28(s188))),
% 5.44/4.34 inference(quant_inst,[status(thm)],[])).
% 5.44/4.34 tff(20551,plain,
% 5.44/4.34 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s188) | node26(s188) | (~until27(s188))),
% 5.44/4.34 inference(modus_ponens,[status(thm)],[20550, 20549])).
% 5.44/4.34 tff(20552,plain,
% 5.44/4.34 (xuntil28(s188) | (~until27(s188))),
% 5.44/4.34 inference(unit_resolution,[status(thm)],[20551, 17992, 20545])).
% 5.44/4.34 tff(20553,plain,
% 5.44/4.34 (xuntil28(s188)),
% 5.44/4.34 inference(unit_resolution,[status(thm)],[20552, 20541])).
% 5.44/4.34 tff(20554,plain,
% 5.44/4.34 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s188, s189)) | (~xuntil28(s188)) | until27(s189))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s188, s189)) | (~xuntil28(s188)) | until27(s189))),
% 5.44/4.34 inference(rewrite,[status(thm)],[])).
% 5.44/4.34 tff(20555,plain,
% 5.44/4.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s188, s189)) | (~xuntil28(s188)) | until27(s189))),
% 5.44/4.34 inference(quant_inst,[status(thm)],[])).
% 5.44/4.34 tff(20556,plain,
% 5.44/4.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s188, s189)) | (~xuntil28(s188)) | until27(s189)),
% 5.44/4.34 inference(modus_ponens,[status(thm)],[20555, 20554])).
% 5.44/4.34 tff(20557,plain,
% 5.44/4.34 ((~xuntil28(s188)) | until27(s189)),
% 5.44/4.34 inference(unit_resolution,[status(thm)],[20556, 15253, 18010])).
% 5.50/4.34 tff(20558,plain,
% 5.50/4.34 (until27(s189)),
% 5.50/4.34 inference(unit_resolution,[status(thm)],[20557, 20553])).
% 5.50/4.34 tff(20559,plain,
% 5.50/4.34 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s189) | node26(s189) | (~until27(s189)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s189) | node26(s189) | (~until27(s189)))),
% 5.50/4.34 inference(rewrite,[status(thm)],[])).
% 5.50/4.34 tff(20560,plain,
% 5.50/4.34 ((node26(s189) | (~until27(s189)) | xuntil28(s189)) <=> (xuntil28(s189) | node26(s189) | (~until27(s189)))),
% 5.50/4.34 inference(rewrite,[status(thm)],[])).
% 5.50/4.34 tff(20561,plain,
% 5.50/4.34 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s189) | (~until27(s189)) | xuntil28(s189))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s189) | node26(s189) | (~until27(s189))))),
% 5.50/4.34 inference(monotonicity,[status(thm)],[20560])).
% 5.50/4.34 tff(20562,plain,
% 5.50/4.34 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s189) | (~until27(s189)) | xuntil28(s189))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s189) | node26(s189) | (~until27(s189)))),
% 5.50/4.34 inference(transitivity,[status(thm)],[20561, 20559])).
% 5.50/4.34 tff(20563,plain,
% 5.50/4.34 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s189) | (~until27(s189)) | xuntil28(s189))),
% 5.50/4.34 inference(quant_inst,[status(thm)],[])).
% 5.50/4.34 tff(20564,plain,
% 5.50/4.34 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s189) | node26(s189) | (~until27(s189))),
% 5.50/4.34 inference(modus_ponens,[status(thm)],[20563, 20562])).
% 5.50/4.34 tff(20565,plain,
% 5.50/4.34 (xuntil28(s189)),
% 5.50/4.34 inference(unit_resolution,[status(thm)],[20564, 17992, 20558, 16611])).
% 5.50/4.34 tff(20566,plain,
% 5.50/4.34 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s189, s190)) | (~xuntil28(s189)) | until27(s190))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s189, s190)) | (~xuntil28(s189)) | until27(s190))),
% 5.50/4.34 inference(rewrite,[status(thm)],[])).
% 5.50/4.34 tff(20567,plain,
% 5.50/4.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s189, s190)) | (~xuntil28(s189)) | until27(s190))),
% 5.50/4.34 inference(quant_inst,[status(thm)],[])).
% 5.50/4.34 tff(20568,plain,
% 5.50/4.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s189, s190)) | (~xuntil28(s189)) | until27(s190)),
% 5.50/4.34 inference(modus_ponens,[status(thm)],[20567, 20566])).
% 5.50/4.34 tff(20569,plain,
% 5.50/4.34 ((~xuntil28(s189)) | until27(s190)),
% 5.50/4.34 inference(unit_resolution,[status(thm)],[20568, 15348, 18010])).
% 5.50/4.34 tff(20570,plain,
% 5.50/4.34 (until27(s190)),
% 5.50/4.34 inference(unit_resolution,[status(thm)],[20569, 20565])).
% 5.50/4.34 tff(20571,plain,
% 5.50/4.34 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s190) | node26(s190) | (~until27(s190)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s190) | node26(s190) | (~until27(s190)))),
% 5.50/4.34 inference(rewrite,[status(thm)],[])).
% 5.50/4.34 tff(20572,plain,
% 5.50/4.34 ((node26(s190) | (~until27(s190)) | xuntil28(s190)) <=> (xuntil28(s190) | node26(s190) | (~until27(s190)))),
% 5.50/4.34 inference(rewrite,[status(thm)],[])).
% 5.50/4.34 tff(20573,plain,
% 5.50/4.34 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s190) | (~until27(s190)) | xuntil28(s190))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s190) | node26(s190) | (~until27(s190))))),
% 5.50/4.34 inference(monotonicity,[status(thm)],[20572])).
% 5.50/4.34 tff(20574,plain,
% 5.50/4.34 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s190) | (~until27(s190)) | xuntil28(s190))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s190) | node26(s190) | (~until27(s190)))),
% 5.50/4.34 inference(transitivity,[status(thm)],[20573, 20571])).
% 5.50/4.34 tff(20575,plain,
% 5.50/4.34 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s190) | (~until27(s190)) | xuntil28(s190))),
% 5.50/4.34 inference(quant_inst,[status(thm)],[])).
% 5.50/4.34 tff(20576,plain,
% 5.50/4.34 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s190) | node26(s190) | (~until27(s190))),
% 5.50/4.34 inference(modus_ponens,[status(thm)],[20575, 20574])).
% 5.50/4.34 tff(20577,plain,
% 5.50/4.34 (xuntil28(s190) | node26(s190)),
% 5.50/4.34 inference(unit_resolution,[status(thm)],[20576, 17992, 20570])).
% 5.50/4.34 tff(20578,plain,
% 5.50/4.34 (xuntil28(s190)),
% 5.50/4.34 inference(unit_resolution,[status(thm)],[20577, 16607])).
% 5.50/4.34 tff(20579,plain,
% 5.50/4.34 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s190, s191)) | (~xuntil28(s190)) | until27(s191))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s190, s191)) | (~xuntil28(s190)) | until27(s191))),
% 5.50/4.34 inference(rewrite,[status(thm)],[])).
% 5.50/4.34 tff(20580,plain,
% 5.50/4.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s190, s191)) | (~xuntil28(s190)) | until27(s191))),
% 5.50/4.34 inference(quant_inst,[status(thm)],[])).
% 5.50/4.34 tff(20581,plain,
% 5.50/4.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s190, s191)) | (~xuntil28(s190)) | until27(s191)),
% 5.50/4.34 inference(modus_ponens,[status(thm)],[20580, 20579])).
% 5.50/4.34 tff(20582,plain,
% 5.50/4.34 ((~xuntil28(s190)) | until27(s191)),
% 5.50/4.34 inference(unit_resolution,[status(thm)],[20581, 15412, 18010])).
% 5.50/4.34 tff(20583,plain,
% 5.50/4.34 (until27(s191)),
% 5.50/4.34 inference(unit_resolution,[status(thm)],[20582, 20578])).
% 5.50/4.34 tff(20584,plain,
% 5.50/4.34 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s191) | node26(s191) | (~until27(s191)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s191) | node26(s191) | (~until27(s191)))),
% 5.50/4.34 inference(rewrite,[status(thm)],[])).
% 5.50/4.34 tff(20585,plain,
% 5.50/4.34 ((node26(s191) | (~until27(s191)) | xuntil28(s191)) <=> (xuntil28(s191) | node26(s191) | (~until27(s191)))),
% 5.50/4.34 inference(rewrite,[status(thm)],[])).
% 5.50/4.34 tff(20586,plain,
% 5.50/4.34 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s191) | (~until27(s191)) | xuntil28(s191))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s191) | node26(s191) | (~until27(s191))))),
% 5.50/4.34 inference(monotonicity,[status(thm)],[20585])).
% 5.50/4.34 tff(20587,plain,
% 5.50/4.34 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s191) | (~until27(s191)) | xuntil28(s191))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s191) | node26(s191) | (~until27(s191)))),
% 5.50/4.34 inference(transitivity,[status(thm)],[20586, 20584])).
% 5.50/4.34 tff(20588,plain,
% 5.50/4.34 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s191) | (~until27(s191)) | xuntil28(s191))),
% 5.50/4.34 inference(quant_inst,[status(thm)],[])).
% 5.50/4.34 tff(20589,plain,
% 5.50/4.34 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s191) | node26(s191) | (~until27(s191))),
% 5.50/4.34 inference(modus_ponens,[status(thm)],[20588, 20587])).
% 5.50/4.34 tff(20590,plain,
% 5.50/4.34 (xuntil28(s191)),
% 5.50/4.34 inference(unit_resolution,[status(thm)],[20589, 17992, 20583, 16598])).
% 5.50/4.34 tff(20591,plain,
% 5.50/4.34 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s191, s192)) | (~xuntil28(s191)) | until27(s192))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s191, s192)) | (~xuntil28(s191)) | until27(s192))),
% 5.50/4.34 inference(rewrite,[status(thm)],[])).
% 5.50/4.34 tff(20592,plain,
% 5.50/4.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s191, s192)) | (~xuntil28(s191)) | until27(s192))),
% 5.50/4.34 inference(quant_inst,[status(thm)],[])).
% 5.50/4.34 tff(20593,plain,
% 5.50/4.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s191, s192)) | (~xuntil28(s191)) | until27(s192)),
% 5.50/4.34 inference(modus_ponens,[status(thm)],[20592, 20591])).
% 5.50/4.34 tff(20594,plain,
% 5.50/4.34 ((~xuntil28(s191)) | until27(s192)),
% 5.50/4.34 inference(unit_resolution,[status(thm)],[20593, 15487, 18010])).
% 5.50/4.34 tff(20595,plain,
% 5.50/4.34 (until27(s192)),
% 5.50/4.34 inference(unit_resolution,[status(thm)],[20594, 20590])).
% 5.50/4.34 tff(20596,plain,
% 5.50/4.34 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s192) | (~node26(s192)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s192) | (~node26(s192)))),
% 5.50/4.34 inference(rewrite,[status(thm)],[])).
% 5.50/4.34 tff(20597,plain,
% 5.50/4.34 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s192) | (~node26(s192)))),
% 5.50/4.34 inference(quant_inst,[status(thm)],[])).
% 5.50/4.34 tff(20598,plain,
% 5.50/4.34 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s192) | (~node26(s192))),
% 5.50/4.34 inference(modus_ponens,[status(thm)],[20597, 20596])).
% 5.50/4.34 tff(20599,plain,
% 5.50/4.34 (~node26(s192)),
% 5.50/4.34 inference(unit_resolution,[status(thm)],[20598, 16500, 16589])).
% 5.50/4.34 tff(20600,plain,
% 5.50/4.34 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s192) | node26(s192) | (~until27(s192)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s192) | node26(s192) | (~until27(s192)))),
% 5.50/4.34 inference(rewrite,[status(thm)],[])).
% 5.50/4.34 tff(20601,plain,
% 5.50/4.34 ((node26(s192) | (~until27(s192)) | xuntil28(s192)) <=> (xuntil28(s192) | node26(s192) | (~until27(s192)))),
% 5.50/4.34 inference(rewrite,[status(thm)],[])).
% 5.50/4.34 tff(20602,plain,
% 5.50/4.34 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s192) | (~until27(s192)) | xuntil28(s192))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s192) | node26(s192) | (~until27(s192))))),
% 5.50/4.34 inference(monotonicity,[status(thm)],[20601])).
% 5.50/4.34 tff(20603,plain,
% 5.50/4.34 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s192) | (~until27(s192)) | xuntil28(s192))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s192) | node26(s192) | (~until27(s192)))),
% 5.50/4.34 inference(transitivity,[status(thm)],[20602, 20600])).
% 5.50/4.34 tff(20604,plain,
% 5.50/4.34 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s192) | (~until27(s192)) | xuntil28(s192))),
% 5.50/4.34 inference(quant_inst,[status(thm)],[])).
% 5.50/4.34 tff(20605,plain,
% 5.50/4.34 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s192) | node26(s192) | (~until27(s192))),
% 5.50/4.34 inference(modus_ponens,[status(thm)],[20604, 20603])).
% 5.50/4.34 tff(20606,plain,
% 5.50/4.34 (xuntil28(s192) | (~until27(s192))),
% 5.50/4.34 inference(unit_resolution,[status(thm)],[20605, 17992, 20599])).
% 5.50/4.34 tff(20607,plain,
% 5.50/4.34 (xuntil28(s192)),
% 5.50/4.34 inference(unit_resolution,[status(thm)],[20606, 20595])).
% 5.50/4.34 tff(20608,plain,
% 5.50/4.34 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s192, s193)) | (~xuntil28(s192)) | until27(s193))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s192, s193)) | (~xuntil28(s192)) | until27(s193))),
% 5.50/4.34 inference(rewrite,[status(thm)],[])).
% 5.50/4.34 tff(20609,plain,
% 5.50/4.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s192, s193)) | (~xuntil28(s192)) | until27(s193))),
% 5.50/4.34 inference(quant_inst,[status(thm)],[])).
% 5.50/4.34 tff(20610,plain,
% 5.50/4.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s192, s193)) | (~xuntil28(s192)) | until27(s193)),
% 5.50/4.34 inference(modus_ponens,[status(thm)],[20609, 20608])).
% 5.50/4.34 tff(20611,plain,
% 5.50/4.34 ((~xuntil28(s192)) | until27(s193)),
% 5.50/4.34 inference(unit_resolution,[status(thm)],[20610, 15576, 18010])).
% 5.50/4.34 tff(20612,plain,
% 5.50/4.34 (until27(s193)),
% 5.50/4.34 inference(unit_resolution,[status(thm)],[20611, 20607])).
% 5.50/4.34 tff(20613,plain,
% 5.50/4.34 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s193) | node26(s193) | (~until27(s193)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s193) | node26(s193) | (~until27(s193)))),
% 5.50/4.34 inference(rewrite,[status(thm)],[])).
% 5.50/4.34 tff(20614,plain,
% 5.50/4.34 ((node26(s193) | (~until27(s193)) | xuntil28(s193)) <=> (xuntil28(s193) | node26(s193) | (~until27(s193)))),
% 5.50/4.34 inference(rewrite,[status(thm)],[])).
% 5.50/4.34 tff(20615,plain,
% 5.50/4.34 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s193) | (~until27(s193)) | xuntil28(s193))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s193) | node26(s193) | (~until27(s193))))),
% 5.50/4.34 inference(monotonicity,[status(thm)],[20614])).
% 5.50/4.34 tff(20616,plain,
% 5.50/4.34 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s193) | (~until27(s193)) | xuntil28(s193))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s193) | node26(s193) | (~until27(s193)))),
% 5.50/4.34 inference(transitivity,[status(thm)],[20615, 20613])).
% 5.50/4.34 tff(20617,plain,
% 5.50/4.34 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s193) | (~until27(s193)) | xuntil28(s193))),
% 5.50/4.34 inference(quant_inst,[status(thm)],[])).
% 5.50/4.34 tff(20618,plain,
% 5.50/4.34 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s193) | node26(s193) | (~until27(s193))),
% 5.50/4.34 inference(modus_ponens,[status(thm)],[20617, 20616])).
% 5.50/4.34 tff(20619,plain,
% 5.50/4.34 (xuntil28(s193)),
% 5.50/4.34 inference(unit_resolution,[status(thm)],[20618, 17992, 20612, 16582])).
% 5.50/4.34 tff(20620,plain,
% 5.50/4.34 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s193, s194)) | (~xuntil28(s193)) | until27(s194))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s193, s194)) | (~xuntil28(s193)) | until27(s194))),
% 5.50/4.34 inference(rewrite,[status(thm)],[])).
% 5.50/4.34 tff(20621,plain,
% 5.50/4.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s193, s194)) | (~xuntil28(s193)) | until27(s194))),
% 5.50/4.34 inference(quant_inst,[status(thm)],[])).
% 5.50/4.34 tff(20622,plain,
% 5.50/4.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s193, s194)) | (~xuntil28(s193)) | until27(s194)),
% 5.50/4.34 inference(modus_ponens,[status(thm)],[20621, 20620])).
% 5.50/4.34 tff(20623,plain,
% 5.50/4.34 ((~xuntil28(s193)) | until27(s194)),
% 5.50/4.34 inference(unit_resolution,[status(thm)],[20622, 15643, 18010])).
% 5.50/4.34 tff(20624,plain,
% 5.50/4.34 (until27(s194)),
% 5.50/4.34 inference(unit_resolution,[status(thm)],[20623, 20619])).
% 5.50/4.34 tff(20625,plain,
% 5.50/4.34 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s194) | node26(s194) | (~until27(s194)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s194) | node26(s194) | (~until27(s194)))),
% 5.50/4.34 inference(rewrite,[status(thm)],[])).
% 5.50/4.34 tff(20626,plain,
% 5.50/4.34 ((node26(s194) | (~until27(s194)) | xuntil28(s194)) <=> (xuntil28(s194) | node26(s194) | (~until27(s194)))),
% 5.50/4.34 inference(rewrite,[status(thm)],[])).
% 5.50/4.34 tff(20627,plain,
% 5.50/4.34 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s194) | (~until27(s194)) | xuntil28(s194))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s194) | node26(s194) | (~until27(s194))))),
% 5.50/4.34 inference(monotonicity,[status(thm)],[20626])).
% 5.50/4.34 tff(20628,plain,
% 5.50/4.34 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s194) | (~until27(s194)) | xuntil28(s194))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s194) | node26(s194) | (~until27(s194)))),
% 5.50/4.34 inference(transitivity,[status(thm)],[20627, 20625])).
% 5.50/4.34 tff(20629,plain,
% 5.50/4.34 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s194) | (~until27(s194)) | xuntil28(s194))),
% 5.50/4.34 inference(quant_inst,[status(thm)],[])).
% 5.50/4.34 tff(20630,plain,
% 5.50/4.34 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s194) | node26(s194) | (~until27(s194))),
% 5.50/4.34 inference(modus_ponens,[status(thm)],[20629, 20628])).
% 5.50/4.34 tff(20631,plain,
% 5.50/4.34 (xuntil28(s194) | node26(s194)),
% 5.50/4.34 inference(unit_resolution,[status(thm)],[20630, 17992, 20624])).
% 5.50/4.34 tff(20632,plain,
% 5.50/4.34 (xuntil28(s194)),
% 5.50/4.34 inference(unit_resolution,[status(thm)],[20631, 16578])).
% 5.50/4.34 tff(20633,plain,
% 5.50/4.34 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s194, s195)) | (~xuntil28(s194)) | until27(s195))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s194, s195)) | (~xuntil28(s194)) | until27(s195))),
% 5.50/4.34 inference(rewrite,[status(thm)],[])).
% 5.50/4.34 tff(20634,plain,
% 5.50/4.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s194, s195)) | (~xuntil28(s194)) | until27(s195))),
% 5.50/4.34 inference(quant_inst,[status(thm)],[])).
% 5.50/4.34 tff(20635,plain,
% 5.50/4.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s194, s195)) | (~xuntil28(s194)) | until27(s195)),
% 5.50/4.34 inference(modus_ponens,[status(thm)],[20634, 20633])).
% 5.50/4.34 tff(20636,plain,
% 5.50/4.34 ((~xuntil28(s194)) | until27(s195)),
% 5.50/4.34 inference(unit_resolution,[status(thm)],[20635, 15742, 18010])).
% 5.50/4.34 tff(20637,plain,
% 5.50/4.34 (until27(s195)),
% 5.50/4.34 inference(unit_resolution,[status(thm)],[20636, 20632])).
% 5.50/4.34 tff(20638,plain,
% 5.50/4.34 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s195) | node26(s195) | (~until27(s195)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s195) | node26(s195) | (~until27(s195)))),
% 5.50/4.34 inference(rewrite,[status(thm)],[])).
% 5.50/4.34 tff(20639,plain,
% 5.50/4.34 ((node26(s195) | (~until27(s195)) | xuntil28(s195)) <=> (xuntil28(s195) | node26(s195) | (~until27(s195)))),
% 5.50/4.34 inference(rewrite,[status(thm)],[])).
% 5.50/4.34 tff(20640,plain,
% 5.50/4.34 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s195) | (~until27(s195)) | xuntil28(s195))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s195) | node26(s195) | (~until27(s195))))),
% 5.50/4.34 inference(monotonicity,[status(thm)],[20639])).
% 5.50/4.34 tff(20641,plain,
% 5.50/4.34 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s195) | (~until27(s195)) | xuntil28(s195))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s195) | node26(s195) | (~until27(s195)))),
% 5.50/4.34 inference(transitivity,[status(thm)],[20640, 20638])).
% 5.50/4.34 tff(20642,plain,
% 5.50/4.34 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s195) | (~until27(s195)) | xuntil28(s195))),
% 5.50/4.34 inference(quant_inst,[status(thm)],[])).
% 5.50/4.34 tff(20643,plain,
% 5.50/4.34 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s195) | node26(s195) | (~until27(s195))),
% 5.50/4.34 inference(modus_ponens,[status(thm)],[20642, 20641])).
% 5.50/4.34 tff(20644,plain,
% 5.50/4.34 (xuntil28(s195)),
% 5.50/4.34 inference(unit_resolution,[status(thm)],[20643, 17992, 20637, 16569])).
% 5.50/4.34 tff(20645,plain,
% 5.50/4.34 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s195, s196)) | (~xuntil28(s195)) | until27(s196))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s195, s196)) | (~xuntil28(s195)) | until27(s196))),
% 5.50/4.34 inference(rewrite,[status(thm)],[])).
% 5.50/4.34 tff(20646,plain,
% 5.50/4.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s195, s196)) | (~xuntil28(s195)) | until27(s196))),
% 5.50/4.34 inference(quant_inst,[status(thm)],[])).
% 5.50/4.34 tff(20647,plain,
% 5.50/4.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s195, s196)) | (~xuntil28(s195)) | until27(s196)),
% 5.50/4.34 inference(modus_ponens,[status(thm)],[20646, 20645])).
% 5.50/4.34 tff(20648,plain,
% 5.50/4.34 ((~xuntil28(s195)) | until27(s196)),
% 5.50/4.34 inference(unit_resolution,[status(thm)],[20647, 15820, 18010])).
% 5.50/4.34 tff(20649,plain,
% 5.50/4.34 (until27(s196)),
% 5.50/4.34 inference(unit_resolution,[status(thm)],[20648, 20644])).
% 5.50/4.34 tff(20650,plain,
% 5.50/4.34 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s196) | (~node26(s196)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s196) | (~node26(s196)))),
% 5.50/4.34 inference(rewrite,[status(thm)],[])).
% 5.50/4.34 tff(20651,plain,
% 5.50/4.34 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s196) | (~node26(s196)))),
% 5.50/4.34 inference(quant_inst,[status(thm)],[])).
% 5.50/4.34 tff(20652,plain,
% 5.50/4.34 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s196) | (~node26(s196))),
% 5.50/4.34 inference(modus_ponens,[status(thm)],[20651, 20650])).
% 5.50/4.34 tff(20653,plain,
% 5.50/4.34 (~node26(s196)),
% 5.50/4.34 inference(unit_resolution,[status(thm)],[20652, 16500, 16560])).
% 5.50/4.34 tff(20654,plain,
% 5.50/4.34 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s196) | node26(s196) | (~until27(s196)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s196) | node26(s196) | (~until27(s196)))),
% 5.50/4.34 inference(rewrite,[status(thm)],[])).
% 5.50/4.34 tff(20655,plain,
% 5.50/4.34 ((node26(s196) | (~until27(s196)) | xuntil28(s196)) <=> (xuntil28(s196) | node26(s196) | (~until27(s196)))),
% 5.50/4.34 inference(rewrite,[status(thm)],[])).
% 5.50/4.34 tff(20656,plain,
% 5.50/4.34 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s196) | (~until27(s196)) | xuntil28(s196))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s196) | node26(s196) | (~until27(s196))))),
% 5.50/4.34 inference(monotonicity,[status(thm)],[20655])).
% 5.50/4.34 tff(20657,plain,
% 5.50/4.34 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s196) | (~until27(s196)) | xuntil28(s196))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s196) | node26(s196) | (~until27(s196)))),
% 5.50/4.34 inference(transitivity,[status(thm)],[20656, 20654])).
% 5.50/4.34 tff(20658,plain,
% 5.50/4.34 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s196) | (~until27(s196)) | xuntil28(s196))),
% 5.50/4.35 inference(quant_inst,[status(thm)],[])).
% 5.50/4.35 tff(20659,plain,
% 5.50/4.35 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s196) | node26(s196) | (~until27(s196))),
% 5.50/4.35 inference(modus_ponens,[status(thm)],[20658, 20657])).
% 5.50/4.35 tff(20660,plain,
% 5.50/4.35 (xuntil28(s196) | (~until27(s196))),
% 5.50/4.35 inference(unit_resolution,[status(thm)],[20659, 17992, 20653])).
% 5.50/4.35 tff(20661,plain,
% 5.50/4.35 (xuntil28(s196)),
% 5.50/4.35 inference(unit_resolution,[status(thm)],[20660, 20649])).
% 5.50/4.35 tff(20662,plain,
% 5.50/4.35 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s196, s197)) | (~xuntil28(s196)) | until27(s197))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s196, s197)) | (~xuntil28(s196)) | until27(s197))),
% 5.50/4.35 inference(rewrite,[status(thm)],[])).
% 5.50/4.35 tff(20663,plain,
% 5.50/4.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s196, s197)) | (~xuntil28(s196)) | until27(s197))),
% 5.50/4.35 inference(quant_inst,[status(thm)],[])).
% 5.50/4.35 tff(20664,plain,
% 5.50/4.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s196, s197)) | (~xuntil28(s196)) | until27(s197)),
% 5.50/4.35 inference(modus_ponens,[status(thm)],[20663, 20662])).
% 5.50/4.35 tff(20665,plain,
% 5.50/4.35 ((~xuntil28(s196)) | until27(s197)),
% 5.50/4.35 inference(unit_resolution,[status(thm)],[20664, 15881, 18010])).
% 5.50/4.35 tff(20666,plain,
% 5.50/4.35 (until27(s197)),
% 5.50/4.35 inference(unit_resolution,[status(thm)],[20665, 20661])).
% 5.50/4.35 tff(20667,plain,
% 5.50/4.35 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s197) | node26(s197) | (~until27(s197)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s197) | node26(s197) | (~until27(s197)))),
% 5.50/4.35 inference(rewrite,[status(thm)],[])).
% 5.50/4.35 tff(20668,plain,
% 5.50/4.35 ((node26(s197) | (~until27(s197)) | xuntil28(s197)) <=> (xuntil28(s197) | node26(s197) | (~until27(s197)))),
% 5.50/4.35 inference(rewrite,[status(thm)],[])).
% 5.50/4.35 tff(20669,plain,
% 5.50/4.35 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s197) | (~until27(s197)) | xuntil28(s197))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s197) | node26(s197) | (~until27(s197))))),
% 5.50/4.35 inference(monotonicity,[status(thm)],[20668])).
% 5.50/4.35 tff(20670,plain,
% 5.50/4.35 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s197) | (~until27(s197)) | xuntil28(s197))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s197) | node26(s197) | (~until27(s197)))),
% 5.50/4.35 inference(transitivity,[status(thm)],[20669, 20667])).
% 5.50/4.35 tff(20671,plain,
% 5.50/4.35 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s197) | (~until27(s197)) | xuntil28(s197))),
% 5.50/4.35 inference(quant_inst,[status(thm)],[])).
% 5.50/4.35 tff(20672,plain,
% 5.50/4.35 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s197) | node26(s197) | (~until27(s197))),
% 5.50/4.35 inference(modus_ponens,[status(thm)],[20671, 20670])).
% 5.50/4.35 tff(20673,plain,
% 5.50/4.35 (xuntil28(s197)),
% 5.50/4.35 inference(unit_resolution,[status(thm)],[20672, 17992, 20666, 16553])).
% 5.50/4.35 tff(20674,plain,
% 5.50/4.35 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s197, s198)) | (~xuntil28(s197)) | until27(s198))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s197, s198)) | (~xuntil28(s197)) | until27(s198))),
% 5.50/4.35 inference(rewrite,[status(thm)],[])).
% 5.50/4.35 tff(20675,plain,
% 5.50/4.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s197, s198)) | (~xuntil28(s197)) | until27(s198))),
% 5.50/4.35 inference(quant_inst,[status(thm)],[])).
% 5.50/4.35 tff(20676,plain,
% 5.50/4.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s197, s198)) | (~xuntil28(s197)) | until27(s198)),
% 5.50/4.35 inference(modus_ponens,[status(thm)],[20675, 20674])).
% 5.50/4.35 tff(20677,plain,
% 5.50/4.35 ((~xuntil28(s197)) | until27(s198)),
% 5.50/4.35 inference(unit_resolution,[status(thm)],[20676, 15976, 18010])).
% 5.50/4.35 tff(20678,plain,
% 5.50/4.35 (until27(s198)),
% 5.50/4.35 inference(unit_resolution,[status(thm)],[20677, 20673])).
% 5.50/4.35 tff(20679,plain,
% 5.50/4.35 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s198) | node26(s198) | (~until27(s198)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s198) | node26(s198) | (~until27(s198)))),
% 5.50/4.35 inference(rewrite,[status(thm)],[])).
% 5.50/4.35 tff(20680,plain,
% 5.50/4.35 ((node26(s198) | (~until27(s198)) | xuntil28(s198)) <=> (xuntil28(s198) | node26(s198) | (~until27(s198)))),
% 5.50/4.35 inference(rewrite,[status(thm)],[])).
% 5.50/4.35 tff(20681,plain,
% 5.50/4.35 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s198) | (~until27(s198)) | xuntil28(s198))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s198) | node26(s198) | (~until27(s198))))),
% 5.50/4.35 inference(monotonicity,[status(thm)],[20680])).
% 5.50/4.35 tff(20682,plain,
% 5.50/4.35 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s198) | (~until27(s198)) | xuntil28(s198))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s198) | node26(s198) | (~until27(s198)))),
% 5.50/4.35 inference(transitivity,[status(thm)],[20681, 20679])).
% 5.50/4.35 tff(20683,plain,
% 5.50/4.35 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s198) | (~until27(s198)) | xuntil28(s198))),
% 5.50/4.35 inference(quant_inst,[status(thm)],[])).
% 5.50/4.35 tff(20684,plain,
% 5.50/4.35 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s198) | node26(s198) | (~until27(s198))),
% 5.50/4.35 inference(modus_ponens,[status(thm)],[20683, 20682])).
% 5.50/4.35 tff(20685,plain,
% 5.50/4.35 (xuntil28(s198) | node26(s198)),
% 5.50/4.35 inference(unit_resolution,[status(thm)],[20684, 17992, 20678])).
% 5.50/4.35 tff(20686,plain,
% 5.50/4.35 (xuntil28(s198)),
% 5.50/4.35 inference(unit_resolution,[status(thm)],[20685, 16549])).
% 5.50/4.35 tff(20687,plain,
% 5.50/4.35 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s198, s199)) | (~xuntil28(s198)) | until27(s199))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s198, s199)) | (~xuntil28(s198)) | until27(s199))),
% 5.50/4.35 inference(rewrite,[status(thm)],[])).
% 5.50/4.35 tff(20688,plain,
% 5.50/4.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s198, s199)) | (~xuntil28(s198)) | until27(s199))),
% 5.50/4.35 inference(quant_inst,[status(thm)],[])).
% 5.50/4.35 tff(20689,plain,
% 5.50/4.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s198, s199)) | (~xuntil28(s198)) | until27(s199)),
% 5.50/4.35 inference(modus_ponens,[status(thm)],[20688, 20687])).
% 5.50/4.35 tff(20690,plain,
% 5.50/4.35 ((~xuntil28(s198)) | until27(s199)),
% 5.50/4.35 inference(unit_resolution,[status(thm)],[20689, 16040, 18010])).
% 5.50/4.35 tff(20691,plain,
% 5.50/4.35 (until27(s199)),
% 5.50/4.35 inference(unit_resolution,[status(thm)],[20690, 20686])).
% 5.50/4.35 tff(20692,plain,
% 5.50/4.35 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s199) | node26(s199) | (~until27(s199)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s199) | node26(s199) | (~until27(s199)))),
% 5.50/4.35 inference(rewrite,[status(thm)],[])).
% 5.50/4.35 tff(20693,plain,
% 5.50/4.35 ((node26(s199) | (~until27(s199)) | xuntil28(s199)) <=> (xuntil28(s199) | node26(s199) | (~until27(s199)))),
% 5.50/4.35 inference(rewrite,[status(thm)],[])).
% 5.50/4.35 tff(20694,plain,
% 5.50/4.35 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s199) | (~until27(s199)) | xuntil28(s199))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s199) | node26(s199) | (~until27(s199))))),
% 5.50/4.35 inference(monotonicity,[status(thm)],[20693])).
% 5.50/4.35 tff(20695,plain,
% 5.50/4.35 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s199) | (~until27(s199)) | xuntil28(s199))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s199) | node26(s199) | (~until27(s199)))),
% 5.50/4.35 inference(transitivity,[status(thm)],[20694, 20692])).
% 5.50/4.35 tff(20696,plain,
% 5.50/4.35 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s199) | (~until27(s199)) | xuntil28(s199))),
% 5.50/4.35 inference(quant_inst,[status(thm)],[])).
% 5.50/4.35 tff(20697,plain,
% 5.50/4.35 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s199) | node26(s199) | (~until27(s199))),
% 5.50/4.35 inference(modus_ponens,[status(thm)],[20696, 20695])).
% 5.50/4.35 tff(20698,plain,
% 5.50/4.35 (xuntil28(s199)),
% 5.50/4.35 inference(unit_resolution,[status(thm)],[20697, 17992, 20691, 16540])).
% 5.50/4.35 tff(20699,plain,
% 5.50/4.35 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s199, s200)) | (~xuntil28(s199)) | until27(s200))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s199, s200)) | (~xuntil28(s199)) | until27(s200))),
% 5.50/4.35 inference(rewrite,[status(thm)],[])).
% 5.50/4.35 tff(20700,plain,
% 5.50/4.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s199, s200)) | (~xuntil28(s199)) | until27(s200))),
% 5.50/4.35 inference(quant_inst,[status(thm)],[])).
% 5.50/4.35 tff(20701,plain,
% 5.50/4.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s199, s200)) | (~xuntil28(s199)) | until27(s200)),
% 5.50/4.35 inference(modus_ponens,[status(thm)],[20700, 20699])).
% 5.50/4.35 tff(20702,plain,
% 5.50/4.35 ((~xuntil28(s199)) | until27(s200)),
% 5.50/4.35 inference(unit_resolution,[status(thm)],[20701, 16115, 18010])).
% 5.50/4.35 tff(20703,plain,
% 5.50/4.35 (until27(s200)),
% 5.50/4.35 inference(unit_resolution,[status(thm)],[20702, 20698])).
% 5.50/4.35 tff(20704,plain,
% 5.50/4.35 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s200) | (~node26(s200)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s200) | (~node26(s200)))),
% 5.50/4.35 inference(rewrite,[status(thm)],[])).
% 5.50/4.35 tff(20705,plain,
% 5.50/4.35 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s200) | (~node26(s200)))),
% 5.50/4.35 inference(quant_inst,[status(thm)],[])).
% 5.50/4.35 tff(20706,plain,
% 5.50/4.35 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s200) | (~node26(s200))),
% 5.50/4.35 inference(modus_ponens,[status(thm)],[20705, 20704])).
% 5.50/4.35 tff(20707,plain,
% 5.50/4.35 (~node26(s200)),
% 5.50/4.35 inference(unit_resolution,[status(thm)],[20706, 16500, 16531])).
% 5.50/4.35 tff(20708,plain,
% 5.50/4.35 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s200) | node26(s200) | (~until27(s200)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s200) | node26(s200) | (~until27(s200)))),
% 5.50/4.35 inference(rewrite,[status(thm)],[])).
% 5.50/4.35 tff(20709,plain,
% 5.50/4.35 ((node26(s200) | (~until27(s200)) | xuntil28(s200)) <=> (xuntil28(s200) | node26(s200) | (~until27(s200)))),
% 5.50/4.35 inference(rewrite,[status(thm)],[])).
% 5.50/4.35 tff(20710,plain,
% 5.50/4.35 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s200) | (~until27(s200)) | xuntil28(s200))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s200) | node26(s200) | (~until27(s200))))),
% 5.50/4.35 inference(monotonicity,[status(thm)],[20709])).
% 5.50/4.35 tff(20711,plain,
% 5.50/4.35 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s200) | (~until27(s200)) | xuntil28(s200))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s200) | node26(s200) | (~until27(s200)))),
% 5.50/4.35 inference(transitivity,[status(thm)],[20710, 20708])).
% 5.50/4.35 tff(20712,plain,
% 5.50/4.35 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s200) | (~until27(s200)) | xuntil28(s200))),
% 5.50/4.35 inference(quant_inst,[status(thm)],[])).
% 5.50/4.35 tff(20713,plain,
% 5.50/4.35 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s200) | node26(s200) | (~until27(s200))),
% 5.50/4.35 inference(modus_ponens,[status(thm)],[20712, 20711])).
% 5.50/4.35 tff(20714,plain,
% 5.50/4.35 (xuntil28(s200) | (~until27(s200))),
% 5.50/4.35 inference(unit_resolution,[status(thm)],[20713, 17992, 20707])).
% 5.50/4.35 tff(20715,plain,
% 5.50/4.35 (xuntil28(s200)),
% 5.50/4.35 inference(unit_resolution,[status(thm)],[20714, 20703])).
% 5.50/4.35 tff(20716,plain,
% 5.50/4.35 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s200, s201)) | (~xuntil28(s200)) | until27(s201))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s200, s201)) | (~xuntil28(s200)) | until27(s201))),
% 5.50/4.35 inference(rewrite,[status(thm)],[])).
% 5.50/4.35 tff(20717,plain,
% 5.50/4.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s200, s201)) | (~xuntil28(s200)) | until27(s201))),
% 5.50/4.35 inference(quant_inst,[status(thm)],[])).
% 5.50/4.35 tff(20718,plain,
% 5.50/4.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s200, s201)) | (~xuntil28(s200)) | until27(s201)),
% 5.50/4.35 inference(modus_ponens,[status(thm)],[20717, 20716])).
% 5.50/4.35 tff(20719,plain,
% 5.50/4.35 ((~xuntil28(s200)) | until27(s201)),
% 5.50/4.35 inference(unit_resolution,[status(thm)],[20718, 16204, 18010])).
% 5.50/4.35 tff(20720,plain,
% 5.50/4.35 (until27(s201)),
% 5.50/4.35 inference(unit_resolution,[status(thm)],[20719, 20715])).
% 5.50/4.35 tff(20721,plain,
% 5.50/4.35 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s201) | node26(s201) | (~until27(s201)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s201) | node26(s201) | (~until27(s201)))),
% 5.50/4.35 inference(rewrite,[status(thm)],[])).
% 5.50/4.35 tff(20722,plain,
% 5.50/4.35 ((node26(s201) | (~until27(s201)) | xuntil28(s201)) <=> (xuntil28(s201) | node26(s201) | (~until27(s201)))),
% 5.50/4.35 inference(rewrite,[status(thm)],[])).
% 5.50/4.35 tff(20723,plain,
% 5.50/4.35 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s201) | (~until27(s201)) | xuntil28(s201))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s201) | node26(s201) | (~until27(s201))))),
% 5.50/4.35 inference(monotonicity,[status(thm)],[20722])).
% 5.50/4.35 tff(20724,plain,
% 5.50/4.35 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s201) | (~until27(s201)) | xuntil28(s201))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s201) | node26(s201) | (~until27(s201)))),
% 5.50/4.35 inference(transitivity,[status(thm)],[20723, 20721])).
% 5.50/4.35 tff(20725,plain,
% 5.50/4.35 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s201) | (~until27(s201)) | xuntil28(s201))),
% 5.50/4.35 inference(quant_inst,[status(thm)],[])).
% 5.50/4.35 tff(20726,plain,
% 5.50/4.35 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s201) | node26(s201) | (~until27(s201))),
% 5.50/4.35 inference(modus_ponens,[status(thm)],[20725, 20724])).
% 5.50/4.35 tff(20727,plain,
% 5.50/4.35 (xuntil28(s201)),
% 5.50/4.35 inference(unit_resolution,[status(thm)],[20726, 17992, 20720, 16524])).
% 5.50/4.35 tff(20728,plain,
% 5.50/4.35 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s201, s202)) | (~xuntil28(s201)) | until27(s202))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s201, s202)) | (~xuntil28(s201)) | until27(s202))),
% 5.50/4.35 inference(rewrite,[status(thm)],[])).
% 5.50/4.35 tff(20729,plain,
% 5.50/4.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s201, s202)) | (~xuntil28(s201)) | until27(s202))),
% 5.50/4.35 inference(quant_inst,[status(thm)],[])).
% 5.50/4.35 tff(20730,plain,
% 5.50/4.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s201, s202)) | (~xuntil28(s201)) | until27(s202)),
% 5.50/4.35 inference(modus_ponens,[status(thm)],[20729, 20728])).
% 5.50/4.35 tff(20731,plain,
% 5.50/4.35 ((~xuntil28(s201)) | until27(s202)),
% 5.50/4.35 inference(unit_resolution,[status(thm)],[20730, 16271, 18010])).
% 5.50/4.35 tff(20732,plain,
% 5.50/4.35 (until27(s202)),
% 5.50/4.35 inference(unit_resolution,[status(thm)],[20731, 20727])).
% 5.50/4.35 tff(20733,plain,
% 5.50/4.35 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s202) | node26(s202) | (~until27(s202)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s202) | node26(s202) | (~until27(s202)))),
% 5.50/4.35 inference(rewrite,[status(thm)],[])).
% 5.50/4.35 tff(20734,plain,
% 5.50/4.35 ((node26(s202) | (~until27(s202)) | xuntil28(s202)) <=> (xuntil28(s202) | node26(s202) | (~until27(s202)))),
% 5.50/4.35 inference(rewrite,[status(thm)],[])).
% 5.50/4.35 tff(20735,plain,
% 5.50/4.35 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s202) | (~until27(s202)) | xuntil28(s202))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s202) | node26(s202) | (~until27(s202))))),
% 5.50/4.35 inference(monotonicity,[status(thm)],[20734])).
% 5.50/4.35 tff(20736,plain,
% 5.50/4.35 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s202) | (~until27(s202)) | xuntil28(s202))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s202) | node26(s202) | (~until27(s202)))),
% 5.50/4.35 inference(transitivity,[status(thm)],[20735, 20733])).
% 5.50/4.35 tff(20737,plain,
% 5.50/4.35 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s202) | (~until27(s202)) | xuntil28(s202))),
% 5.50/4.35 inference(quant_inst,[status(thm)],[])).
% 5.50/4.35 tff(20738,plain,
% 5.50/4.35 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s202) | node26(s202) | (~until27(s202))),
% 5.50/4.35 inference(modus_ponens,[status(thm)],[20737, 20736])).
% 5.50/4.35 tff(20739,plain,
% 5.50/4.35 (xuntil28(s202) | node26(s202)),
% 5.50/4.35 inference(unit_resolution,[status(thm)],[20738, 17992, 20732])).
% 5.50/4.35 tff(20740,plain,
% 5.50/4.35 (xuntil28(s202)),
% 5.50/4.35 inference(unit_resolution,[status(thm)],[20739, 16513])).
% 5.50/4.35 tff(20741,plain,
% 5.50/4.35 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s202, s203)) | (~xuntil28(s202)) | until27(s203))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s202, s203)) | (~xuntil28(s202)) | until27(s203))),
% 5.50/4.35 inference(rewrite,[status(thm)],[])).
% 5.50/4.35 tff(20742,plain,
% 5.50/4.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s202, s203)) | (~xuntil28(s202)) | until27(s203))),
% 5.50/4.35 inference(quant_inst,[status(thm)],[])).
% 5.50/4.35 tff(20743,plain,
% 5.50/4.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s202, s203)) | (~xuntil28(s202)) | until27(s203)),
% 5.50/4.35 inference(modus_ponens,[status(thm)],[20742, 20741])).
% 5.50/4.35 tff(20744,plain,
% 5.50/4.35 ((~xuntil28(s202)) | until27(s203)),
% 5.50/4.35 inference(unit_resolution,[status(thm)],[20743, 16370, 18010])).
% 5.50/4.35 tff(20745,plain,
% 5.50/4.35 (until27(s203)),
% 5.50/4.35 inference(unit_resolution,[status(thm)],[20744, 20740])).
% 5.50/4.35 tff(20746,plain,
% 5.50/4.35 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s203) | node26(s203) | (~until27(s203)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s203) | node26(s203) | (~until27(s203)))),
% 5.50/4.35 inference(rewrite,[status(thm)],[])).
% 5.50/4.35 tff(20747,plain,
% 5.50/4.35 ((node26(s203) | (~until27(s203)) | xuntil28(s203)) <=> (xuntil28(s203) | node26(s203) | (~until27(s203)))),
% 5.50/4.35 inference(rewrite,[status(thm)],[])).
% 5.50/4.35 tff(20748,plain,
% 5.50/4.35 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s203) | (~until27(s203)) | xuntil28(s203))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s203) | node26(s203) | (~until27(s203))))),
% 5.50/4.35 inference(monotonicity,[status(thm)],[20747])).
% 5.50/4.35 tff(20749,plain,
% 5.50/4.35 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s203) | (~until27(s203)) | xuntil28(s203))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s203) | node26(s203) | (~until27(s203)))),
% 5.50/4.35 inference(transitivity,[status(thm)],[20748, 20746])).
% 5.50/4.35 tff(20750,plain,
% 5.50/4.35 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s203) | (~until27(s203)) | xuntil28(s203))),
% 5.50/4.35 inference(quant_inst,[status(thm)],[])).
% 5.50/4.35 tff(20751,plain,
% 5.50/4.35 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s203) | node26(s203) | (~until27(s203))),
% 5.50/4.35 inference(modus_ponens,[status(thm)],[20750, 20749])).
% 5.50/4.35 tff(20752,plain,
% 5.50/4.35 (xuntil28(s203)),
% 5.50/4.35 inference(unit_resolution,[status(thm)],[20751, 17992, 20745, 16504])).
% 5.50/4.35 tff(20753,plain,
% 5.50/4.35 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s203, s204)) | (~xuntil28(s203)) | until27(s204))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s203, s204)) | (~xuntil28(s203)) | until27(s204))),
% 5.50/4.35 inference(rewrite,[status(thm)],[])).
% 5.50/4.35 tff(20754,plain,
% 5.50/4.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | ((~succ(s203, s204)) | (~xuntil28(s203)) | until27(s204))),
% 5.50/4.35 inference(quant_inst,[status(thm)],[])).
% 5.50/4.35 tff(20755,plain,
% 5.50/4.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil28(X)) | until27(Y))) | (~succ(s203, s204)) | (~xuntil28(s203)) | until27(s204)),
% 5.50/4.35 inference(modus_ponens,[status(thm)],[20754, 20753])).
% 5.50/4.35 tff(20756,plain,
% 5.50/4.35 ((~xuntil28(s203)) | until27(s204)),
% 5.50/4.35 inference(unit_resolution,[status(thm)],[20755, 16448, 18010])).
% 5.50/4.35 tff(20757,plain,
% 5.50/4.35 (until27(s204)),
% 5.50/4.35 inference(unit_resolution,[status(thm)],[20756, 20752])).
% 5.50/4.35 tff(20758,plain,
% 5.50/4.35 (((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s204) | (~node26(s204)))) <=> ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s204) | (~node26(s204)))),
% 5.50/4.35 inference(rewrite,[status(thm)],[])).
% 5.50/4.35 tff(20759,plain,
% 5.50/4.35 ((~![X: $i] : (always25(X) | (~node26(X)))) | (always25(s204) | (~node26(s204)))),
% 5.50/4.35 inference(quant_inst,[status(thm)],[])).
% 5.50/4.35 tff(20760,plain,
% 5.50/4.35 ((~![X: $i] : (always25(X) | (~node26(X)))) | always25(s204) | (~node26(s204))),
% 5.50/4.35 inference(modus_ponens,[status(thm)],[20759, 20758])).
% 5.50/4.35 tff(20761,plain,
% 5.50/4.35 (~node26(s204)),
% 5.50/4.35 inference(unit_resolution,[status(thm)],[20760, 16500, 16475])).
% 5.50/4.35 tff(20762,plain,
% 5.50/4.35 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s204) | node26(s204) | (~until27(s204)))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s204) | node26(s204) | (~until27(s204)))),
% 5.50/4.35 inference(rewrite,[status(thm)],[])).
% 5.50/4.35 tff(20763,plain,
% 5.50/4.35 ((node26(s204) | (~until27(s204)) | xuntil28(s204)) <=> (xuntil28(s204) | node26(s204) | (~until27(s204)))),
% 5.50/4.35 inference(rewrite,[status(thm)],[])).
% 5.50/4.35 tff(20764,plain,
% 5.50/4.35 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s204) | (~until27(s204)) | xuntil28(s204))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (xuntil28(s204) | node26(s204) | (~until27(s204))))),
% 5.50/4.35 inference(monotonicity,[status(thm)],[20763])).
% 5.50/4.35 tff(20765,plain,
% 5.50/4.35 (((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s204) | (~until27(s204)) | xuntil28(s204))) <=> ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s204) | node26(s204) | (~until27(s204)))),
% 5.50/4.35 inference(transitivity,[status(thm)],[20764, 20762])).
% 5.50/4.35 tff(20766,plain,
% 5.50/4.35 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | (node26(s204) | (~until27(s204)) | xuntil28(s204))),
% 5.50/4.35 inference(quant_inst,[status(thm)],[])).
% 5.50/4.35 tff(20767,plain,
% 5.50/4.35 ((~![X: $i] : (node26(X) | (~until27(X)) | xuntil28(X))) | xuntil28(s204) | node26(s204) | (~until27(s204))),
% 5.50/4.35 inference(modus_ponens,[status(thm)],[20766, 20765])).
% 5.50/4.35 tff(20768,plain,
% 5.50/4.35 (xuntil28(s204) | (~until27(s204))),
% 5.50/4.35 inference(unit_resolution,[status(thm)],[20767, 17992, 20761])).
% 5.50/4.35 tff(20769,plain,
% 5.50/4.35 (xuntil28(s204)),
% 5.50/4.35 inference(unit_resolution,[status(thm)],[20768, 20757])).
% 5.50/4.35 tff(20770,plain,
% 5.50/4.35 (^[X: $i] : refl(((~last(X)) | (~xuntil2p30(X))) <=> ((~last(X)) | (~xuntil2p30(X))))),
% 5.50/4.35 inference(bind,[status(th)],[])).
% 5.50/4.35 tff(20771,plain,
% 5.50/4.35 (![X: $i] : ((~last(X)) | (~xuntil2p30(X))) <=> ![X: $i] : ((~last(X)) | (~xuntil2p30(X)))),
% 5.50/4.35 inference(quant_intro,[status(thm)],[20770])).
% 5.50/4.35 tff(20772,plain,
% 5.50/4.35 (![X: $i] : ((~last(X)) | (~xuntil2p30(X))) <=> ![X: $i] : ((~last(X)) | (~xuntil2p30(X)))),
% 5.50/4.35 inference(rewrite,[status(thm)],[])).
% 5.50/4.35 tff(20773,axiom,(![X: $i] : ((~last(X)) | (~xuntil2p30(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty25')).
% 5.50/4.35 tff(20774,plain,
% 5.50/4.35 (![X: $i] : ((~last(X)) | (~xuntil2p30(X)))),
% 5.50/4.35 inference(modus_ponens,[status(thm)],[20773, 20772])).
% 5.50/4.35 tff(20775,plain,(
% 5.50/4.35 ![X: $i] : ((~last(X)) | (~xuntil2p30(X)))),
% 5.50/4.35 inference(skolemize,[status(sab)],[20774])).
% 5.50/4.35 tff(20776,plain,
% 5.50/4.35 (![X: $i] : ((~last(X)) | (~xuntil2p30(X)))),
% 5.50/4.35 inference(modus_ponens,[status(thm)],[20775, 20771])).
% 5.50/4.35 tff(20777,plain,
% 5.50/4.35 (last(s204) <=> last(s204)),
% 5.50/4.35 inference(rewrite,[status(thm)],[])).
% 5.50/4.35 tff(20778,axiom,(last(s204)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound205')).
% 5.50/4.35 tff(20779,plain,
% 5.50/4.35 (last(s204)),
% 5.50/4.35 inference(modus_ponens,[status(thm)],[20778, 20777])).
% 5.50/4.35 tff(20780,plain,
% 5.50/4.35 (((~![X: $i] : ((~last(X)) | (~xuntil2p30(X)))) | ((~last(s204)) | (~xuntil2p30(s204)))) <=> ((~![X: $i] : ((~last(X)) | (~xuntil2p30(X)))) | (~last(s204)) | (~xuntil2p30(s204)))),
% 5.50/4.35 inference(rewrite,[status(thm)],[])).
% 5.50/4.35 tff(20781,plain,
% 5.50/4.35 ((~![X: $i] : ((~last(X)) | (~xuntil2p30(X)))) | ((~last(s204)) | (~xuntil2p30(s204)))),
% 5.50/4.35 inference(quant_inst,[status(thm)],[])).
% 5.50/4.35 tff(20782,plain,
% 5.50/4.35 ((~![X: $i] : ((~last(X)) | (~xuntil2p30(X)))) | (~last(s204)) | (~xuntil2p30(s204))),
% 5.50/4.35 inference(modus_ponens,[status(thm)],[20781, 20780])).
% 5.50/4.35 tff(20783,plain,
% 5.50/4.35 (~xuntil2p30(s204)),
% 5.50/4.35 inference(unit_resolution,[status(thm)],[20782, 20779, 20776])).
% 5.50/4.35 tff(20784,plain,
% 5.50/4.35 (^[X: $i] : refl((node26(X) | xuntil2p30(X) | (~until2p29(X))) <=> (node26(X) | xuntil2p30(X) | (~until2p29(X))))),
% 5.50/4.35 inference(bind,[status(th)],[])).
% 5.50/4.35 tff(20785,plain,
% 5.50/4.35 (![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X))) <=> ![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))),
% 5.50/4.35 inference(quant_intro,[status(thm)],[20784])).
% 5.50/4.35 tff(20786,plain,
% 5.50/4.35 (![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X))) <=> ![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))),
% 5.50/4.35 inference(rewrite,[status(thm)],[])).
% 5.50/4.35 tff(20787,plain,
% 5.50/4.35 (^[X: $i] : rewrite(((node26(X) | xuntil2p30(X)) | (~until2p29(X))) <=> (node26(X) | xuntil2p30(X) | (~until2p29(X))))),
% 5.50/4.35 inference(bind,[status(th)],[])).
% 5.50/4.35 tff(20788,plain,
% 5.50/4.35 (![X: $i] : ((node26(X) | xuntil2p30(X)) | (~until2p29(X))) <=> ![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))),
% 5.50/4.35 inference(quant_intro,[status(thm)],[20787])).
% 5.50/4.35 tff(20789,axiom,(![X: $i] : ((node26(X) | xuntil2p30(X)) | (~until2p29(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty23')).
% 5.50/4.35 tff(20790,plain,
% 5.50/4.35 (![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))),
% 5.50/4.35 inference(modus_ponens,[status(thm)],[20789, 20788])).
% 5.50/4.35 tff(20791,plain,
% 5.50/4.35 (![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))),
% 5.50/4.35 inference(modus_ponens,[status(thm)],[20790, 20786])).
% 5.50/4.35 tff(20792,plain,(
% 5.50/4.35 ![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))),
% 5.50/4.35 inference(skolemize,[status(sab)],[20791])).
% 5.50/4.35 tff(20793,plain,
% 5.50/4.35 (![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))),
% 5.50/4.35 inference(modus_ponens,[status(thm)],[20792, 20785])).
% 5.50/4.35 tff(20794,plain,
% 5.50/4.35 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s204) | xuntil2p30(s204) | (~until2p29(s204)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s204) | xuntil2p30(s204) | (~until2p29(s204)))),
% 5.50/4.35 inference(rewrite,[status(thm)],[])).
% 5.50/4.35 tff(20795,plain,
% 5.50/4.35 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s204) | xuntil2p30(s204) | (~until2p29(s204)))),
% 5.50/4.35 inference(quant_inst,[status(thm)],[])).
% 5.50/4.35 tff(20796,plain,
% 5.50/4.35 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s204) | xuntil2p30(s204) | (~until2p29(s204))),
% 5.50/4.35 inference(modus_ponens,[status(thm)],[20795, 20794])).
% 5.50/4.35 tff(20797,plain,
% 5.50/4.35 (node26(s204) | (~until2p29(s204))),
% 5.50/4.35 inference(unit_resolution,[status(thm)],[20796, 20793, 20783])).
% 5.50/4.35 tff(20798,plain,
% 5.50/4.35 (~until2p29(s204)),
% 5.50/4.35 inference(unit_resolution,[status(thm)],[20797, 20761])).
% 5.50/4.35 tff(20799,plain,
% 5.50/4.35 (^[Y: $i, X: $i] : refl(((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X))) <=> ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X))))),
% 5.50/4.35 inference(bind,[status(th)],[])).
% 5.50/4.35 tff(20800,plain,
% 5.50/4.35 (![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X))) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))),
% 5.50/4.35 inference(quant_intro,[status(thm)],[20799])).
% 5.50/4.35 tff(20801,plain,
% 5.50/4.35 (![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X))) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))),
% 5.50/4.35 inference(rewrite,[status(thm)],[])).
% 5.50/4.35 tff(20802,plain,
% 5.50/4.35 (^[Y: $i, X: $i] : rewrite(((until2p29(Y) | (~succ(X, Y))) | (~xuntil2p30(X))) <=> ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X))))),
% 5.50/4.35 inference(bind,[status(th)],[])).
% 5.50/4.35 tff(20803,plain,
% 5.50/4.35 (![Y: $i, X: $i] : ((until2p29(Y) | (~succ(X, Y))) | (~xuntil2p30(X))) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))),
% 5.50/4.35 inference(quant_intro,[status(thm)],[20802])).
% 5.50/4.35 tff(20804,axiom,(![Y: $i, X: $i] : ((until2p29(Y) | (~succ(X, Y))) | (~xuntil2p30(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty24')).
% 5.50/4.35 tff(20805,plain,
% 5.50/4.35 (![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))),
% 5.50/4.35 inference(modus_ponens,[status(thm)],[20804, 20803])).
% 5.50/4.35 tff(20806,plain,
% 5.50/4.35 (![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))),
% 5.50/4.35 inference(modus_ponens,[status(thm)],[20805, 20801])).
% 5.50/4.35 tff(20807,plain,(
% 5.50/4.35 ![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))),
% 5.50/4.35 inference(skolemize,[status(sab)],[20806])).
% 5.50/4.35 tff(20808,plain,
% 5.50/4.35 (![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))),
% 5.50/4.35 inference(modus_ponens,[status(thm)],[20807, 20800])).
% 5.50/4.35 tff(20809,plain,
% 5.50/4.35 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s203, s204)) | until2p29(s204) | (~xuntil2p30(s203)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s203, s204)) | until2p29(s204) | (~xuntil2p30(s203)))),
% 5.50/4.35 inference(rewrite,[status(thm)],[])).
% 5.50/4.35 tff(20810,plain,
% 5.50/4.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s203, s204)) | until2p29(s204) | (~xuntil2p30(s203)))),
% 5.50/4.35 inference(quant_inst,[status(thm)],[])).
% 5.50/4.35 tff(20811,plain,
% 5.50/4.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s203, s204)) | until2p29(s204) | (~xuntil2p30(s203))),
% 5.50/4.35 inference(modus_ponens,[status(thm)],[20810, 20809])).
% 5.50/4.35 tff(20812,plain,
% 5.50/4.35 (until2p29(s204) | (~xuntil2p30(s203))),
% 5.50/4.35 inference(unit_resolution,[status(thm)],[20811, 16448, 20808])).
% 5.50/4.35 tff(20813,plain,
% 5.50/4.35 (~xuntil2p30(s203)),
% 5.50/4.35 inference(unit_resolution,[status(thm)],[20812, 20798])).
% 5.50/4.35 tff(20814,plain,
% 5.50/4.35 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s203) | xuntil2p30(s203) | (~until2p29(s203)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s203) | xuntil2p30(s203) | (~until2p29(s203)))),
% 5.50/4.35 inference(rewrite,[status(thm)],[])).
% 5.50/4.35 tff(20815,plain,
% 5.50/4.35 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s203) | xuntil2p30(s203) | (~until2p29(s203)))),
% 5.50/4.35 inference(quant_inst,[status(thm)],[])).
% 5.50/4.35 tff(20816,plain,
% 5.50/4.35 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s203) | xuntil2p30(s203) | (~until2p29(s203))),
% 5.50/4.35 inference(modus_ponens,[status(thm)],[20815, 20814])).
% 5.50/4.35 tff(20817,plain,
% 5.50/4.35 (~until2p29(s203)),
% 5.50/4.35 inference(unit_resolution,[status(thm)],[20816, 20793, 20813, 16504])).
% 5.50/4.35 tff(20818,plain,
% 5.50/4.35 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s202, s203)) | until2p29(s203) | (~xuntil2p30(s202)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s202, s203)) | until2p29(s203) | (~xuntil2p30(s202)))),
% 5.50/4.35 inference(rewrite,[status(thm)],[])).
% 5.50/4.35 tff(20819,plain,
% 5.50/4.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s202, s203)) | until2p29(s203) | (~xuntil2p30(s202)))),
% 5.50/4.35 inference(quant_inst,[status(thm)],[])).
% 5.50/4.35 tff(20820,plain,
% 5.50/4.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s202, s203)) | until2p29(s203) | (~xuntil2p30(s202))),
% 5.50/4.35 inference(modus_ponens,[status(thm)],[20819, 20818])).
% 5.50/4.35 tff(20821,plain,
% 5.50/4.35 (until2p29(s203) | (~xuntil2p30(s202))),
% 5.50/4.35 inference(unit_resolution,[status(thm)],[20820, 16370, 20808])).
% 5.50/4.35 tff(20822,plain,
% 5.50/4.35 (~xuntil2p30(s202)),
% 5.50/4.35 inference(unit_resolution,[status(thm)],[20821, 20817])).
% 5.50/4.35 tff(20823,plain,
% 5.50/4.35 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s202) | xuntil2p30(s202) | (~until2p29(s202)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s202) | xuntil2p30(s202) | (~until2p29(s202)))),
% 5.50/4.35 inference(rewrite,[status(thm)],[])).
% 5.50/4.35 tff(20824,plain,
% 5.50/4.35 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s202) | xuntil2p30(s202) | (~until2p29(s202)))),
% 5.50/4.35 inference(quant_inst,[status(thm)],[])).
% 5.50/4.35 tff(20825,plain,
% 5.50/4.35 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s202) | xuntil2p30(s202) | (~until2p29(s202))),
% 5.50/4.35 inference(modus_ponens,[status(thm)],[20824, 20823])).
% 5.50/4.35 tff(20826,plain,
% 5.50/4.35 (xuntil2p30(s202) | (~until2p29(s202))),
% 5.50/4.35 inference(unit_resolution,[status(thm)],[20825, 20793, 16513])).
% 5.50/4.35 tff(20827,plain,
% 5.50/4.35 (~until2p29(s202)),
% 5.50/4.35 inference(unit_resolution,[status(thm)],[20826, 20822])).
% 5.50/4.35 tff(20828,plain,
% 5.50/4.35 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s201, s202)) | until2p29(s202) | (~xuntil2p30(s201)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s201, s202)) | until2p29(s202) | (~xuntil2p30(s201)))),
% 5.50/4.35 inference(rewrite,[status(thm)],[])).
% 5.50/4.35 tff(20829,plain,
% 5.50/4.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s201, s202)) | until2p29(s202) | (~xuntil2p30(s201)))),
% 5.50/4.35 inference(quant_inst,[status(thm)],[])).
% 5.50/4.35 tff(20830,plain,
% 5.50/4.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s201, s202)) | until2p29(s202) | (~xuntil2p30(s201))),
% 5.50/4.35 inference(modus_ponens,[status(thm)],[20829, 20828])).
% 5.50/4.35 tff(20831,plain,
% 5.50/4.35 (until2p29(s202) | (~xuntil2p30(s201))),
% 5.50/4.35 inference(unit_resolution,[status(thm)],[20830, 16271, 20808])).
% 5.50/4.35 tff(20832,plain,
% 5.50/4.35 (~xuntil2p30(s201)),
% 5.50/4.35 inference(unit_resolution,[status(thm)],[20831, 20827])).
% 5.50/4.35 tff(20833,plain,
% 5.50/4.35 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s201) | xuntil2p30(s201) | (~until2p29(s201)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s201) | xuntil2p30(s201) | (~until2p29(s201)))),
% 5.50/4.35 inference(rewrite,[status(thm)],[])).
% 5.50/4.35 tff(20834,plain,
% 5.50/4.35 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s201) | xuntil2p30(s201) | (~until2p29(s201)))),
% 5.50/4.35 inference(quant_inst,[status(thm)],[])).
% 5.50/4.35 tff(20835,plain,
% 5.50/4.35 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s201) | xuntil2p30(s201) | (~until2p29(s201))),
% 5.50/4.35 inference(modus_ponens,[status(thm)],[20834, 20833])).
% 5.50/4.35 tff(20836,plain,
% 5.50/4.35 (xuntil2p30(s201) | (~until2p29(s201))),
% 5.50/4.35 inference(unit_resolution,[status(thm)],[20835, 20793, 16524])).
% 5.50/4.35 tff(20837,plain,
% 5.50/4.35 (~until2p29(s201)),
% 5.50/4.35 inference(unit_resolution,[status(thm)],[20836, 20832])).
% 5.50/4.35 tff(20838,plain,
% 5.50/4.35 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s200, s201)) | until2p29(s201) | (~xuntil2p30(s200)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s200, s201)) | until2p29(s201) | (~xuntil2p30(s200)))),
% 5.50/4.35 inference(rewrite,[status(thm)],[])).
% 5.50/4.35 tff(20839,plain,
% 5.50/4.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s200, s201)) | until2p29(s201) | (~xuntil2p30(s200)))),
% 5.50/4.35 inference(quant_inst,[status(thm)],[])).
% 5.50/4.35 tff(20840,plain,
% 5.50/4.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s200, s201)) | until2p29(s201) | (~xuntil2p30(s200))),
% 5.50/4.35 inference(modus_ponens,[status(thm)],[20839, 20838])).
% 5.50/4.35 tff(20841,plain,
% 5.50/4.35 (until2p29(s201) | (~xuntil2p30(s200))),
% 5.50/4.35 inference(unit_resolution,[status(thm)],[20840, 16204, 20808])).
% 5.50/4.35 tff(20842,plain,
% 5.50/4.35 (~xuntil2p30(s200)),
% 5.50/4.35 inference(unit_resolution,[status(thm)],[20841, 20837])).
% 5.50/4.35 tff(20843,plain,
% 5.50/4.35 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s200) | xuntil2p30(s200) | (~until2p29(s200)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s200) | xuntil2p30(s200) | (~until2p29(s200)))),
% 5.50/4.35 inference(rewrite,[status(thm)],[])).
% 5.50/4.35 tff(20844,plain,
% 5.50/4.35 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s200) | xuntil2p30(s200) | (~until2p29(s200)))),
% 5.50/4.35 inference(quant_inst,[status(thm)],[])).
% 5.50/4.35 tff(20845,plain,
% 5.50/4.35 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s200) | xuntil2p30(s200) | (~until2p29(s200))),
% 5.50/4.35 inference(modus_ponens,[status(thm)],[20844, 20843])).
% 5.50/4.35 tff(20846,plain,
% 5.50/4.35 (xuntil2p30(s200) | (~until2p29(s200))),
% 5.50/4.35 inference(unit_resolution,[status(thm)],[20845, 20793, 20707])).
% 5.50/4.35 tff(20847,plain,
% 5.50/4.35 (~until2p29(s200)),
% 5.50/4.35 inference(unit_resolution,[status(thm)],[20846, 20842])).
% 5.50/4.35 tff(20848,plain,
% 5.50/4.35 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s199, s200)) | until2p29(s200) | (~xuntil2p30(s199)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s199, s200)) | until2p29(s200) | (~xuntil2p30(s199)))),
% 5.50/4.35 inference(rewrite,[status(thm)],[])).
% 5.50/4.35 tff(20849,plain,
% 5.50/4.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s199, s200)) | until2p29(s200) | (~xuntil2p30(s199)))),
% 5.50/4.35 inference(quant_inst,[status(thm)],[])).
% 5.50/4.35 tff(20850,plain,
% 5.50/4.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s199, s200)) | until2p29(s200) | (~xuntil2p30(s199))),
% 5.50/4.36 inference(modus_ponens,[status(thm)],[20849, 20848])).
% 5.50/4.36 tff(20851,plain,
% 5.50/4.36 (until2p29(s200) | (~xuntil2p30(s199))),
% 5.50/4.36 inference(unit_resolution,[status(thm)],[20850, 16115, 20808])).
% 5.50/4.36 tff(20852,plain,
% 5.50/4.36 (~xuntil2p30(s199)),
% 5.50/4.36 inference(unit_resolution,[status(thm)],[20851, 20847])).
% 5.50/4.36 tff(20853,plain,
% 5.50/4.36 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s199) | xuntil2p30(s199) | (~until2p29(s199)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s199) | xuntil2p30(s199) | (~until2p29(s199)))),
% 5.50/4.36 inference(rewrite,[status(thm)],[])).
% 5.50/4.36 tff(20854,plain,
% 5.50/4.36 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s199) | xuntil2p30(s199) | (~until2p29(s199)))),
% 5.50/4.36 inference(quant_inst,[status(thm)],[])).
% 5.50/4.36 tff(20855,plain,
% 5.50/4.36 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s199) | xuntil2p30(s199) | (~until2p29(s199))),
% 5.50/4.36 inference(modus_ponens,[status(thm)],[20854, 20853])).
% 5.50/4.36 tff(20856,plain,
% 5.50/4.36 (xuntil2p30(s199) | (~until2p29(s199))),
% 5.50/4.36 inference(unit_resolution,[status(thm)],[20855, 20793, 16540])).
% 5.50/4.36 tff(20857,plain,
% 5.50/4.36 (~until2p29(s199)),
% 5.50/4.36 inference(unit_resolution,[status(thm)],[20856, 20852])).
% 5.50/4.36 tff(20858,plain,
% 5.50/4.36 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s198, s199)) | until2p29(s199) | (~xuntil2p30(s198)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s198, s199)) | until2p29(s199) | (~xuntil2p30(s198)))),
% 5.50/4.36 inference(rewrite,[status(thm)],[])).
% 5.50/4.36 tff(20859,plain,
% 5.50/4.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s198, s199)) | until2p29(s199) | (~xuntil2p30(s198)))),
% 5.50/4.36 inference(quant_inst,[status(thm)],[])).
% 5.50/4.36 tff(20860,plain,
% 5.50/4.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s198, s199)) | until2p29(s199) | (~xuntil2p30(s198))),
% 5.50/4.36 inference(modus_ponens,[status(thm)],[20859, 20858])).
% 5.50/4.36 tff(20861,plain,
% 5.50/4.36 (until2p29(s199) | (~xuntil2p30(s198))),
% 5.50/4.36 inference(unit_resolution,[status(thm)],[20860, 16040, 20808])).
% 5.50/4.36 tff(20862,plain,
% 5.50/4.36 (~xuntil2p30(s198)),
% 5.50/4.36 inference(unit_resolution,[status(thm)],[20861, 20857])).
% 5.50/4.36 tff(20863,plain,
% 5.50/4.36 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s198) | xuntil2p30(s198) | (~until2p29(s198)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s198) | xuntil2p30(s198) | (~until2p29(s198)))),
% 5.50/4.36 inference(rewrite,[status(thm)],[])).
% 5.50/4.36 tff(20864,plain,
% 5.50/4.36 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s198) | xuntil2p30(s198) | (~until2p29(s198)))),
% 5.50/4.36 inference(quant_inst,[status(thm)],[])).
% 5.50/4.36 tff(20865,plain,
% 5.50/4.36 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s198) | xuntil2p30(s198) | (~until2p29(s198))),
% 5.50/4.36 inference(modus_ponens,[status(thm)],[20864, 20863])).
% 5.50/4.36 tff(20866,plain,
% 5.50/4.36 (xuntil2p30(s198) | (~until2p29(s198))),
% 5.50/4.36 inference(unit_resolution,[status(thm)],[20865, 20793, 16549])).
% 5.50/4.36 tff(20867,plain,
% 5.50/4.36 (~until2p29(s198)),
% 5.50/4.36 inference(unit_resolution,[status(thm)],[20866, 20862])).
% 5.50/4.36 tff(20868,plain,
% 5.50/4.36 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s197, s198)) | until2p29(s198) | (~xuntil2p30(s197)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s197, s198)) | until2p29(s198) | (~xuntil2p30(s197)))),
% 5.50/4.36 inference(rewrite,[status(thm)],[])).
% 5.50/4.36 tff(20869,plain,
% 5.50/4.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s197, s198)) | until2p29(s198) | (~xuntil2p30(s197)))),
% 5.50/4.36 inference(quant_inst,[status(thm)],[])).
% 5.50/4.36 tff(20870,plain,
% 5.50/4.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s197, s198)) | until2p29(s198) | (~xuntil2p30(s197))),
% 5.50/4.36 inference(modus_ponens,[status(thm)],[20869, 20868])).
% 5.50/4.36 tff(20871,plain,
% 5.50/4.36 (until2p29(s198) | (~xuntil2p30(s197))),
% 5.50/4.36 inference(unit_resolution,[status(thm)],[20870, 15976, 20808])).
% 5.50/4.36 tff(20872,plain,
% 5.50/4.36 (~xuntil2p30(s197)),
% 5.50/4.36 inference(unit_resolution,[status(thm)],[20871, 20867])).
% 5.50/4.36 tff(20873,plain,
% 5.50/4.36 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s197) | xuntil2p30(s197) | (~until2p29(s197)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s197) | xuntil2p30(s197) | (~until2p29(s197)))),
% 5.50/4.36 inference(rewrite,[status(thm)],[])).
% 5.50/4.36 tff(20874,plain,
% 5.50/4.36 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s197) | xuntil2p30(s197) | (~until2p29(s197)))),
% 5.50/4.36 inference(quant_inst,[status(thm)],[])).
% 5.50/4.36 tff(20875,plain,
% 5.50/4.36 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s197) | xuntil2p30(s197) | (~until2p29(s197))),
% 5.50/4.36 inference(modus_ponens,[status(thm)],[20874, 20873])).
% 5.50/4.36 tff(20876,plain,
% 5.50/4.36 (xuntil2p30(s197) | (~until2p29(s197))),
% 5.50/4.36 inference(unit_resolution,[status(thm)],[20875, 20793, 16553])).
% 5.50/4.36 tff(20877,plain,
% 5.50/4.36 (~until2p29(s197)),
% 5.50/4.36 inference(unit_resolution,[status(thm)],[20876, 20872])).
% 5.50/4.36 tff(20878,plain,
% 5.50/4.36 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s196, s197)) | until2p29(s197) | (~xuntil2p30(s196)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s196, s197)) | until2p29(s197) | (~xuntil2p30(s196)))),
% 5.50/4.36 inference(rewrite,[status(thm)],[])).
% 5.50/4.36 tff(20879,plain,
% 5.50/4.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s196, s197)) | until2p29(s197) | (~xuntil2p30(s196)))),
% 5.50/4.36 inference(quant_inst,[status(thm)],[])).
% 5.50/4.36 tff(20880,plain,
% 5.50/4.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s196, s197)) | until2p29(s197) | (~xuntil2p30(s196))),
% 5.50/4.36 inference(modus_ponens,[status(thm)],[20879, 20878])).
% 5.50/4.36 tff(20881,plain,
% 5.50/4.36 (until2p29(s197) | (~xuntil2p30(s196))),
% 5.50/4.36 inference(unit_resolution,[status(thm)],[20880, 15881, 20808])).
% 5.50/4.36 tff(20882,plain,
% 5.50/4.36 (~xuntil2p30(s196)),
% 5.50/4.36 inference(unit_resolution,[status(thm)],[20881, 20877])).
% 5.50/4.36 tff(20883,plain,
% 5.50/4.36 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s196) | xuntil2p30(s196) | (~until2p29(s196)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s196) | xuntil2p30(s196) | (~until2p29(s196)))),
% 5.50/4.36 inference(rewrite,[status(thm)],[])).
% 5.50/4.36 tff(20884,plain,
% 5.50/4.36 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s196) | xuntil2p30(s196) | (~until2p29(s196)))),
% 5.50/4.36 inference(quant_inst,[status(thm)],[])).
% 5.50/4.36 tff(20885,plain,
% 5.50/4.36 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s196) | xuntil2p30(s196) | (~until2p29(s196))),
% 5.50/4.36 inference(modus_ponens,[status(thm)],[20884, 20883])).
% 5.50/4.36 tff(20886,plain,
% 5.50/4.36 (xuntil2p30(s196) | (~until2p29(s196))),
% 5.50/4.36 inference(unit_resolution,[status(thm)],[20885, 20793, 20653])).
% 5.50/4.36 tff(20887,plain,
% 5.50/4.36 (~until2p29(s196)),
% 5.50/4.36 inference(unit_resolution,[status(thm)],[20886, 20882])).
% 5.50/4.36 tff(20888,plain,
% 5.50/4.36 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s195, s196)) | until2p29(s196) | (~xuntil2p30(s195)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s195, s196)) | until2p29(s196) | (~xuntil2p30(s195)))),
% 5.50/4.36 inference(rewrite,[status(thm)],[])).
% 5.50/4.36 tff(20889,plain,
% 5.50/4.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s195, s196)) | until2p29(s196) | (~xuntil2p30(s195)))),
% 5.50/4.36 inference(quant_inst,[status(thm)],[])).
% 5.50/4.36 tff(20890,plain,
% 5.50/4.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s195, s196)) | until2p29(s196) | (~xuntil2p30(s195))),
% 5.50/4.36 inference(modus_ponens,[status(thm)],[20889, 20888])).
% 5.50/4.36 tff(20891,plain,
% 5.50/4.36 (until2p29(s196) | (~xuntil2p30(s195))),
% 5.50/4.36 inference(unit_resolution,[status(thm)],[20890, 15820, 20808])).
% 5.50/4.36 tff(20892,plain,
% 5.50/4.36 (~xuntil2p30(s195)),
% 5.50/4.36 inference(unit_resolution,[status(thm)],[20891, 20887])).
% 5.50/4.36 tff(20893,plain,
% 5.50/4.36 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s195) | xuntil2p30(s195) | (~until2p29(s195)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s195) | xuntil2p30(s195) | (~until2p29(s195)))),
% 5.50/4.36 inference(rewrite,[status(thm)],[])).
% 5.50/4.36 tff(20894,plain,
% 5.50/4.36 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s195) | xuntil2p30(s195) | (~until2p29(s195)))),
% 5.50/4.36 inference(quant_inst,[status(thm)],[])).
% 5.50/4.36 tff(20895,plain,
% 5.50/4.36 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s195) | xuntil2p30(s195) | (~until2p29(s195))),
% 5.50/4.36 inference(modus_ponens,[status(thm)],[20894, 20893])).
% 5.50/4.36 tff(20896,plain,
% 5.50/4.36 (xuntil2p30(s195) | (~until2p29(s195))),
% 5.50/4.36 inference(unit_resolution,[status(thm)],[20895, 20793, 16569])).
% 5.50/4.36 tff(20897,plain,
% 5.50/4.36 (~until2p29(s195)),
% 5.50/4.36 inference(unit_resolution,[status(thm)],[20896, 20892])).
% 5.50/4.36 tff(20898,plain,
% 5.50/4.36 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s194, s195)) | until2p29(s195) | (~xuntil2p30(s194)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s194, s195)) | until2p29(s195) | (~xuntil2p30(s194)))),
% 5.50/4.36 inference(rewrite,[status(thm)],[])).
% 5.50/4.36 tff(20899,plain,
% 5.50/4.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s194, s195)) | until2p29(s195) | (~xuntil2p30(s194)))),
% 5.50/4.36 inference(quant_inst,[status(thm)],[])).
% 5.50/4.36 tff(20900,plain,
% 5.50/4.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s194, s195)) | until2p29(s195) | (~xuntil2p30(s194))),
% 5.50/4.36 inference(modus_ponens,[status(thm)],[20899, 20898])).
% 5.50/4.36 tff(20901,plain,
% 5.50/4.36 (until2p29(s195) | (~xuntil2p30(s194))),
% 5.50/4.36 inference(unit_resolution,[status(thm)],[20900, 15742, 20808])).
% 5.50/4.36 tff(20902,plain,
% 5.50/4.36 (~xuntil2p30(s194)),
% 5.50/4.36 inference(unit_resolution,[status(thm)],[20901, 20897])).
% 5.50/4.36 tff(20903,plain,
% 5.50/4.36 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s194) | xuntil2p30(s194) | (~until2p29(s194)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s194) | xuntil2p30(s194) | (~until2p29(s194)))),
% 5.50/4.36 inference(rewrite,[status(thm)],[])).
% 5.50/4.36 tff(20904,plain,
% 5.50/4.36 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s194) | xuntil2p30(s194) | (~until2p29(s194)))),
% 5.50/4.36 inference(quant_inst,[status(thm)],[])).
% 5.50/4.36 tff(20905,plain,
% 5.50/4.36 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s194) | xuntil2p30(s194) | (~until2p29(s194))),
% 5.50/4.36 inference(modus_ponens,[status(thm)],[20904, 20903])).
% 5.50/4.36 tff(20906,plain,
% 5.50/4.36 (xuntil2p30(s194) | (~until2p29(s194))),
% 5.50/4.36 inference(unit_resolution,[status(thm)],[20905, 20793, 16578])).
% 5.50/4.36 tff(20907,plain,
% 5.50/4.36 (~until2p29(s194)),
% 5.50/4.36 inference(unit_resolution,[status(thm)],[20906, 20902])).
% 5.50/4.36 tff(20908,plain,
% 5.50/4.36 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s193, s194)) | until2p29(s194) | (~xuntil2p30(s193)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s193, s194)) | until2p29(s194) | (~xuntil2p30(s193)))),
% 5.50/4.36 inference(rewrite,[status(thm)],[])).
% 5.50/4.36 tff(20909,plain,
% 5.50/4.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s193, s194)) | until2p29(s194) | (~xuntil2p30(s193)))),
% 5.50/4.36 inference(quant_inst,[status(thm)],[])).
% 5.50/4.36 tff(20910,plain,
% 5.50/4.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s193, s194)) | until2p29(s194) | (~xuntil2p30(s193))),
% 5.50/4.36 inference(modus_ponens,[status(thm)],[20909, 20908])).
% 5.50/4.36 tff(20911,plain,
% 5.50/4.36 (until2p29(s194) | (~xuntil2p30(s193))),
% 5.50/4.36 inference(unit_resolution,[status(thm)],[20910, 15643, 20808])).
% 5.50/4.36 tff(20912,plain,
% 5.50/4.36 (~xuntil2p30(s193)),
% 5.50/4.36 inference(unit_resolution,[status(thm)],[20911, 20907])).
% 5.50/4.36 tff(20913,plain,
% 5.50/4.36 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s193) | xuntil2p30(s193) | (~until2p29(s193)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s193) | xuntil2p30(s193) | (~until2p29(s193)))),
% 5.50/4.36 inference(rewrite,[status(thm)],[])).
% 5.50/4.36 tff(20914,plain,
% 5.50/4.36 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s193) | xuntil2p30(s193) | (~until2p29(s193)))),
% 5.50/4.36 inference(quant_inst,[status(thm)],[])).
% 5.50/4.36 tff(20915,plain,
% 5.50/4.36 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s193) | xuntil2p30(s193) | (~until2p29(s193))),
% 5.50/4.36 inference(modus_ponens,[status(thm)],[20914, 20913])).
% 5.50/4.36 tff(20916,plain,
% 5.50/4.36 (xuntil2p30(s193) | (~until2p29(s193))),
% 5.50/4.36 inference(unit_resolution,[status(thm)],[20915, 20793, 16582])).
% 5.50/4.36 tff(20917,plain,
% 5.50/4.36 (~until2p29(s193)),
% 5.50/4.36 inference(unit_resolution,[status(thm)],[20916, 20912])).
% 5.50/4.36 tff(20918,plain,
% 5.50/4.36 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s192, s193)) | until2p29(s193) | (~xuntil2p30(s192)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s192, s193)) | until2p29(s193) | (~xuntil2p30(s192)))),
% 5.50/4.36 inference(rewrite,[status(thm)],[])).
% 5.50/4.36 tff(20919,plain,
% 5.50/4.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s192, s193)) | until2p29(s193) | (~xuntil2p30(s192)))),
% 5.50/4.36 inference(quant_inst,[status(thm)],[])).
% 5.50/4.36 tff(20920,plain,
% 5.50/4.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s192, s193)) | until2p29(s193) | (~xuntil2p30(s192))),
% 5.50/4.36 inference(modus_ponens,[status(thm)],[20919, 20918])).
% 5.50/4.36 tff(20921,plain,
% 5.50/4.36 (until2p29(s193) | (~xuntil2p30(s192))),
% 5.50/4.36 inference(unit_resolution,[status(thm)],[20920, 15576, 20808])).
% 5.50/4.36 tff(20922,plain,
% 5.50/4.36 (~xuntil2p30(s192)),
% 5.50/4.36 inference(unit_resolution,[status(thm)],[20921, 20917])).
% 5.50/4.36 tff(20923,plain,
% 5.50/4.36 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s192) | xuntil2p30(s192) | (~until2p29(s192)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s192) | xuntil2p30(s192) | (~until2p29(s192)))),
% 5.50/4.36 inference(rewrite,[status(thm)],[])).
% 5.50/4.36 tff(20924,plain,
% 5.50/4.36 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s192) | xuntil2p30(s192) | (~until2p29(s192)))),
% 5.50/4.36 inference(quant_inst,[status(thm)],[])).
% 5.50/4.36 tff(20925,plain,
% 5.50/4.36 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s192) | xuntil2p30(s192) | (~until2p29(s192))),
% 5.50/4.36 inference(modus_ponens,[status(thm)],[20924, 20923])).
% 5.50/4.36 tff(20926,plain,
% 5.50/4.36 (xuntil2p30(s192) | (~until2p29(s192))),
% 5.50/4.36 inference(unit_resolution,[status(thm)],[20925, 20793, 20599])).
% 5.50/4.36 tff(20927,plain,
% 5.50/4.36 (~until2p29(s192)),
% 5.50/4.36 inference(unit_resolution,[status(thm)],[20926, 20922])).
% 5.50/4.36 tff(20928,plain,
% 5.50/4.36 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s191, s192)) | until2p29(s192) | (~xuntil2p30(s191)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s191, s192)) | until2p29(s192) | (~xuntil2p30(s191)))),
% 5.50/4.36 inference(rewrite,[status(thm)],[])).
% 5.50/4.36 tff(20929,plain,
% 5.50/4.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s191, s192)) | until2p29(s192) | (~xuntil2p30(s191)))),
% 5.50/4.36 inference(quant_inst,[status(thm)],[])).
% 5.50/4.36 tff(20930,plain,
% 5.50/4.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s191, s192)) | until2p29(s192) | (~xuntil2p30(s191))),
% 5.50/4.36 inference(modus_ponens,[status(thm)],[20929, 20928])).
% 5.50/4.36 tff(20931,plain,
% 5.50/4.36 (until2p29(s192) | (~xuntil2p30(s191))),
% 5.50/4.36 inference(unit_resolution,[status(thm)],[20930, 15487, 20808])).
% 5.50/4.36 tff(20932,plain,
% 5.50/4.36 (~xuntil2p30(s191)),
% 5.50/4.36 inference(unit_resolution,[status(thm)],[20931, 20927])).
% 5.50/4.36 tff(20933,plain,
% 5.50/4.36 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s191) | xuntil2p30(s191) | (~until2p29(s191)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s191) | xuntil2p30(s191) | (~until2p29(s191)))),
% 5.50/4.36 inference(rewrite,[status(thm)],[])).
% 5.50/4.36 tff(20934,plain,
% 5.50/4.36 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s191) | xuntil2p30(s191) | (~until2p29(s191)))),
% 5.50/4.36 inference(quant_inst,[status(thm)],[])).
% 5.50/4.36 tff(20935,plain,
% 5.50/4.36 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s191) | xuntil2p30(s191) | (~until2p29(s191))),
% 5.50/4.36 inference(modus_ponens,[status(thm)],[20934, 20933])).
% 5.50/4.36 tff(20936,plain,
% 5.50/4.36 (xuntil2p30(s191) | (~until2p29(s191))),
% 5.50/4.36 inference(unit_resolution,[status(thm)],[20935, 20793, 16598])).
% 5.50/4.36 tff(20937,plain,
% 5.50/4.36 (~until2p29(s191)),
% 5.50/4.36 inference(unit_resolution,[status(thm)],[20936, 20932])).
% 5.50/4.36 tff(20938,plain,
% 5.50/4.36 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s190, s191)) | until2p29(s191) | (~xuntil2p30(s190)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s190, s191)) | until2p29(s191) | (~xuntil2p30(s190)))),
% 5.50/4.36 inference(rewrite,[status(thm)],[])).
% 5.50/4.36 tff(20939,plain,
% 5.50/4.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s190, s191)) | until2p29(s191) | (~xuntil2p30(s190)))),
% 5.50/4.36 inference(quant_inst,[status(thm)],[])).
% 5.50/4.36 tff(20940,plain,
% 5.50/4.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s190, s191)) | until2p29(s191) | (~xuntil2p30(s190))),
% 5.50/4.36 inference(modus_ponens,[status(thm)],[20939, 20938])).
% 5.50/4.36 tff(20941,plain,
% 5.50/4.36 (until2p29(s191) | (~xuntil2p30(s190))),
% 5.50/4.36 inference(unit_resolution,[status(thm)],[20940, 15412, 20808])).
% 5.50/4.36 tff(20942,plain,
% 5.50/4.36 (~xuntil2p30(s190)),
% 5.50/4.36 inference(unit_resolution,[status(thm)],[20941, 20937])).
% 5.50/4.36 tff(20943,plain,
% 5.50/4.36 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s190) | xuntil2p30(s190) | (~until2p29(s190)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s190) | xuntil2p30(s190) | (~until2p29(s190)))),
% 5.50/4.36 inference(rewrite,[status(thm)],[])).
% 5.50/4.36 tff(20944,plain,
% 5.50/4.36 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s190) | xuntil2p30(s190) | (~until2p29(s190)))),
% 5.50/4.36 inference(quant_inst,[status(thm)],[])).
% 5.50/4.36 tff(20945,plain,
% 5.50/4.36 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s190) | xuntil2p30(s190) | (~until2p29(s190))),
% 5.50/4.36 inference(modus_ponens,[status(thm)],[20944, 20943])).
% 5.50/4.36 tff(20946,plain,
% 5.50/4.36 (xuntil2p30(s190) | (~until2p29(s190))),
% 5.50/4.36 inference(unit_resolution,[status(thm)],[20945, 20793, 16607])).
% 5.50/4.36 tff(20947,plain,
% 5.50/4.36 (~until2p29(s190)),
% 5.50/4.36 inference(unit_resolution,[status(thm)],[20946, 20942])).
% 5.50/4.36 tff(20948,plain,
% 5.50/4.36 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s189, s190)) | until2p29(s190) | (~xuntil2p30(s189)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s189, s190)) | until2p29(s190) | (~xuntil2p30(s189)))),
% 5.50/4.36 inference(rewrite,[status(thm)],[])).
% 5.50/4.36 tff(20949,plain,
% 5.50/4.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s189, s190)) | until2p29(s190) | (~xuntil2p30(s189)))),
% 5.50/4.36 inference(quant_inst,[status(thm)],[])).
% 5.50/4.36 tff(20950,plain,
% 5.50/4.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s189, s190)) | until2p29(s190) | (~xuntil2p30(s189))),
% 5.50/4.36 inference(modus_ponens,[status(thm)],[20949, 20948])).
% 5.50/4.36 tff(20951,plain,
% 5.50/4.36 (until2p29(s190) | (~xuntil2p30(s189))),
% 5.50/4.36 inference(unit_resolution,[status(thm)],[20950, 15348, 20808])).
% 5.50/4.36 tff(20952,plain,
% 5.50/4.36 (~xuntil2p30(s189)),
% 5.50/4.36 inference(unit_resolution,[status(thm)],[20951, 20947])).
% 5.50/4.36 tff(20953,plain,
% 5.50/4.36 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s189) | xuntil2p30(s189) | (~until2p29(s189)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s189) | xuntil2p30(s189) | (~until2p29(s189)))),
% 5.50/4.36 inference(rewrite,[status(thm)],[])).
% 5.50/4.36 tff(20954,plain,
% 5.50/4.36 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s189) | xuntil2p30(s189) | (~until2p29(s189)))),
% 5.50/4.36 inference(quant_inst,[status(thm)],[])).
% 5.50/4.36 tff(20955,plain,
% 5.50/4.36 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s189) | xuntil2p30(s189) | (~until2p29(s189))),
% 5.50/4.36 inference(modus_ponens,[status(thm)],[20954, 20953])).
% 5.50/4.36 tff(20956,plain,
% 5.50/4.36 (xuntil2p30(s189) | (~until2p29(s189))),
% 5.50/4.36 inference(unit_resolution,[status(thm)],[20955, 20793, 16611])).
% 5.50/4.36 tff(20957,plain,
% 5.50/4.36 (~until2p29(s189)),
% 5.50/4.36 inference(unit_resolution,[status(thm)],[20956, 20952])).
% 5.50/4.36 tff(20958,plain,
% 5.50/4.36 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s188, s189)) | until2p29(s189) | (~xuntil2p30(s188)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s188, s189)) | until2p29(s189) | (~xuntil2p30(s188)))),
% 5.50/4.36 inference(rewrite,[status(thm)],[])).
% 5.50/4.36 tff(20959,plain,
% 5.50/4.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s188, s189)) | until2p29(s189) | (~xuntil2p30(s188)))),
% 5.50/4.36 inference(quant_inst,[status(thm)],[])).
% 5.50/4.36 tff(20960,plain,
% 5.50/4.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s188, s189)) | until2p29(s189) | (~xuntil2p30(s188))),
% 5.50/4.36 inference(modus_ponens,[status(thm)],[20959, 20958])).
% 5.50/4.36 tff(20961,plain,
% 5.50/4.36 (until2p29(s189) | (~xuntil2p30(s188))),
% 5.50/4.36 inference(unit_resolution,[status(thm)],[20960, 15253, 20808])).
% 5.50/4.36 tff(20962,plain,
% 5.50/4.36 (~xuntil2p30(s188)),
% 5.50/4.36 inference(unit_resolution,[status(thm)],[20961, 20957])).
% 5.50/4.36 tff(20963,plain,
% 5.50/4.36 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s188) | xuntil2p30(s188) | (~until2p29(s188)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s188) | xuntil2p30(s188) | (~until2p29(s188)))),
% 5.50/4.36 inference(rewrite,[status(thm)],[])).
% 5.50/4.36 tff(20964,plain,
% 5.50/4.36 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s188) | xuntil2p30(s188) | (~until2p29(s188)))),
% 5.50/4.36 inference(quant_inst,[status(thm)],[])).
% 5.50/4.36 tff(20965,plain,
% 5.50/4.36 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s188) | xuntil2p30(s188) | (~until2p29(s188))),
% 5.50/4.36 inference(modus_ponens,[status(thm)],[20964, 20963])).
% 5.50/4.36 tff(20966,plain,
% 5.50/4.36 (xuntil2p30(s188) | (~until2p29(s188))),
% 5.50/4.36 inference(unit_resolution,[status(thm)],[20965, 20793, 20545])).
% 5.50/4.36 tff(20967,plain,
% 5.50/4.36 (~until2p29(s188)),
% 5.50/4.36 inference(unit_resolution,[status(thm)],[20966, 20962])).
% 5.50/4.36 tff(20968,plain,
% 5.50/4.36 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s187, s188)) | until2p29(s188) | (~xuntil2p30(s187)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s187, s188)) | until2p29(s188) | (~xuntil2p30(s187)))),
% 5.50/4.36 inference(rewrite,[status(thm)],[])).
% 5.50/4.36 tff(20969,plain,
% 5.50/4.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s187, s188)) | until2p29(s188) | (~xuntil2p30(s187)))),
% 5.50/4.36 inference(quant_inst,[status(thm)],[])).
% 5.50/4.36 tff(20970,plain,
% 5.50/4.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s187, s188)) | until2p29(s188) | (~xuntil2p30(s187))),
% 5.50/4.36 inference(modus_ponens,[status(thm)],[20969, 20968])).
% 5.50/4.36 tff(20971,plain,
% 5.50/4.36 (until2p29(s188) | (~xuntil2p30(s187))),
% 5.50/4.36 inference(unit_resolution,[status(thm)],[20970, 15192, 20808])).
% 5.50/4.36 tff(20972,plain,
% 5.50/4.36 (~xuntil2p30(s187)),
% 5.50/4.36 inference(unit_resolution,[status(thm)],[20971, 20967])).
% 5.50/4.36 tff(20973,plain,
% 5.50/4.36 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s187) | xuntil2p30(s187) | (~until2p29(s187)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s187) | xuntil2p30(s187) | (~until2p29(s187)))),
% 5.50/4.36 inference(rewrite,[status(thm)],[])).
% 5.50/4.36 tff(20974,plain,
% 5.50/4.36 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s187) | xuntil2p30(s187) | (~until2p29(s187)))),
% 5.50/4.36 inference(quant_inst,[status(thm)],[])).
% 5.50/4.36 tff(20975,plain,
% 5.50/4.36 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s187) | xuntil2p30(s187) | (~until2p29(s187))),
% 5.50/4.36 inference(modus_ponens,[status(thm)],[20974, 20973])).
% 5.50/4.36 tff(20976,plain,
% 5.50/4.36 (xuntil2p30(s187) | (~until2p29(s187))),
% 5.50/4.36 inference(unit_resolution,[status(thm)],[20975, 20793, 16627])).
% 5.50/4.36 tff(20977,plain,
% 5.50/4.36 (~until2p29(s187)),
% 5.50/4.36 inference(unit_resolution,[status(thm)],[20976, 20972])).
% 5.50/4.36 tff(20978,plain,
% 5.50/4.36 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s186, s187)) | until2p29(s187) | (~xuntil2p30(s186)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s186, s187)) | until2p29(s187) | (~xuntil2p30(s186)))),
% 5.50/4.36 inference(rewrite,[status(thm)],[])).
% 5.50/4.36 tff(20979,plain,
% 5.50/4.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s186, s187)) | until2p29(s187) | (~xuntil2p30(s186)))),
% 5.50/4.36 inference(quant_inst,[status(thm)],[])).
% 5.50/4.36 tff(20980,plain,
% 5.50/4.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s186, s187)) | until2p29(s187) | (~xuntil2p30(s186))),
% 5.50/4.36 inference(modus_ponens,[status(thm)],[20979, 20978])).
% 5.50/4.36 tff(20981,plain,
% 5.50/4.36 (until2p29(s187) | (~xuntil2p30(s186))),
% 5.50/4.36 inference(unit_resolution,[status(thm)],[20980, 15114, 20808])).
% 5.50/4.36 tff(20982,plain,
% 5.50/4.36 (~xuntil2p30(s186)),
% 5.50/4.36 inference(unit_resolution,[status(thm)],[20981, 20977])).
% 5.50/4.36 tff(20983,plain,
% 5.50/4.36 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s186) | xuntil2p30(s186) | (~until2p29(s186)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s186) | xuntil2p30(s186) | (~until2p29(s186)))),
% 5.50/4.36 inference(rewrite,[status(thm)],[])).
% 5.50/4.36 tff(20984,plain,
% 5.50/4.36 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s186) | xuntil2p30(s186) | (~until2p29(s186)))),
% 5.50/4.36 inference(quant_inst,[status(thm)],[])).
% 5.50/4.36 tff(20985,plain,
% 5.50/4.36 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s186) | xuntil2p30(s186) | (~until2p29(s186))),
% 5.50/4.36 inference(modus_ponens,[status(thm)],[20984, 20983])).
% 5.50/4.36 tff(20986,plain,
% 5.50/4.36 (xuntil2p30(s186) | (~until2p29(s186))),
% 5.50/4.36 inference(unit_resolution,[status(thm)],[20985, 20793, 16636])).
% 5.50/4.36 tff(20987,plain,
% 5.50/4.36 (~until2p29(s186)),
% 5.50/4.36 inference(unit_resolution,[status(thm)],[20986, 20982])).
% 5.50/4.36 tff(20988,plain,
% 5.50/4.36 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s185, s186)) | until2p29(s186) | (~xuntil2p30(s185)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s185, s186)) | until2p29(s186) | (~xuntil2p30(s185)))),
% 5.50/4.36 inference(rewrite,[status(thm)],[])).
% 5.50/4.36 tff(20989,plain,
% 5.50/4.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s185, s186)) | until2p29(s186) | (~xuntil2p30(s185)))),
% 5.50/4.36 inference(quant_inst,[status(thm)],[])).
% 5.50/4.36 tff(20990,plain,
% 5.50/4.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s185, s186)) | until2p29(s186) | (~xuntil2p30(s185))),
% 5.50/4.36 inference(modus_ponens,[status(thm)],[20989, 20988])).
% 5.50/4.36 tff(20991,plain,
% 5.50/4.36 (until2p29(s186) | (~xuntil2p30(s185))),
% 5.50/4.36 inference(unit_resolution,[status(thm)],[20990, 15015, 20808])).
% 5.50/4.36 tff(20992,plain,
% 5.50/4.36 (~xuntil2p30(s185)),
% 5.50/4.36 inference(unit_resolution,[status(thm)],[20991, 20987])).
% 5.50/4.36 tff(20993,plain,
% 5.50/4.36 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s185) | xuntil2p30(s185) | (~until2p29(s185)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s185) | xuntil2p30(s185) | (~until2p29(s185)))),
% 5.50/4.36 inference(rewrite,[status(thm)],[])).
% 5.50/4.36 tff(20994,plain,
% 5.50/4.36 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s185) | xuntil2p30(s185) | (~until2p29(s185)))),
% 5.50/4.36 inference(quant_inst,[status(thm)],[])).
% 5.50/4.36 tff(20995,plain,
% 5.50/4.36 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s185) | xuntil2p30(s185) | (~until2p29(s185))),
% 5.50/4.36 inference(modus_ponens,[status(thm)],[20994, 20993])).
% 5.50/4.36 tff(20996,plain,
% 5.50/4.36 (xuntil2p30(s185) | (~until2p29(s185))),
% 5.50/4.36 inference(unit_resolution,[status(thm)],[20995, 20793, 16640])).
% 5.50/4.36 tff(20997,plain,
% 5.50/4.36 (~until2p29(s185)),
% 5.50/4.36 inference(unit_resolution,[status(thm)],[20996, 20992])).
% 5.50/4.36 tff(20998,plain,
% 5.50/4.36 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s184, s185)) | until2p29(s185) | (~xuntil2p30(s184)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s184, s185)) | until2p29(s185) | (~xuntil2p30(s184)))),
% 5.50/4.36 inference(rewrite,[status(thm)],[])).
% 5.50/4.36 tff(20999,plain,
% 5.50/4.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s184, s185)) | until2p29(s185) | (~xuntil2p30(s184)))),
% 5.50/4.36 inference(quant_inst,[status(thm)],[])).
% 5.50/4.36 tff(21000,plain,
% 5.50/4.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s184, s185)) | until2p29(s185) | (~xuntil2p30(s184))),
% 5.50/4.36 inference(modus_ponens,[status(thm)],[20999, 20998])).
% 5.50/4.36 tff(21001,plain,
% 5.50/4.36 (until2p29(s185) | (~xuntil2p30(s184))),
% 5.50/4.36 inference(unit_resolution,[status(thm)],[21000, 14948, 20808])).
% 5.50/4.36 tff(21002,plain,
% 5.50/4.36 (~xuntil2p30(s184)),
% 5.50/4.36 inference(unit_resolution,[status(thm)],[21001, 20997])).
% 5.50/4.36 tff(21003,plain,
% 5.50/4.36 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s184) | xuntil2p30(s184) | (~until2p29(s184)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s184) | xuntil2p30(s184) | (~until2p29(s184)))),
% 5.50/4.36 inference(rewrite,[status(thm)],[])).
% 5.50/4.36 tff(21004,plain,
% 5.50/4.36 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s184) | xuntil2p30(s184) | (~until2p29(s184)))),
% 5.50/4.36 inference(quant_inst,[status(thm)],[])).
% 5.50/4.36 tff(21005,plain,
% 5.50/4.36 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s184) | xuntil2p30(s184) | (~until2p29(s184))),
% 5.50/4.36 inference(modus_ponens,[status(thm)],[21004, 21003])).
% 5.50/4.36 tff(21006,plain,
% 5.50/4.36 (xuntil2p30(s184) | (~until2p29(s184))),
% 5.50/4.36 inference(unit_resolution,[status(thm)],[21005, 20793, 20491])).
% 5.50/4.36 tff(21007,plain,
% 5.50/4.36 (~until2p29(s184)),
% 5.50/4.36 inference(unit_resolution,[status(thm)],[21006, 21002])).
% 5.50/4.36 tff(21008,plain,
% 5.50/4.36 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s183, s184)) | until2p29(s184) | (~xuntil2p30(s183)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s183, s184)) | until2p29(s184) | (~xuntil2p30(s183)))),
% 5.50/4.36 inference(rewrite,[status(thm)],[])).
% 5.50/4.36 tff(21009,plain,
% 5.50/4.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s183, s184)) | until2p29(s184) | (~xuntil2p30(s183)))),
% 5.50/4.36 inference(quant_inst,[status(thm)],[])).
% 5.50/4.36 tff(21010,plain,
% 5.50/4.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s183, s184)) | until2p29(s184) | (~xuntil2p30(s183))),
% 5.50/4.36 inference(modus_ponens,[status(thm)],[21009, 21008])).
% 5.50/4.36 tff(21011,plain,
% 5.50/4.36 (until2p29(s184) | (~xuntil2p30(s183))),
% 5.50/4.36 inference(unit_resolution,[status(thm)],[21010, 14859, 20808])).
% 5.50/4.36 tff(21012,plain,
% 5.50/4.36 (~xuntil2p30(s183)),
% 5.50/4.36 inference(unit_resolution,[status(thm)],[21011, 21007])).
% 5.50/4.36 tff(21013,plain,
% 5.50/4.36 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s183) | xuntil2p30(s183) | (~until2p29(s183)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s183) | xuntil2p30(s183) | (~until2p29(s183)))),
% 5.50/4.36 inference(rewrite,[status(thm)],[])).
% 5.50/4.36 tff(21014,plain,
% 5.50/4.36 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s183) | xuntil2p30(s183) | (~until2p29(s183)))),
% 5.50/4.36 inference(quant_inst,[status(thm)],[])).
% 5.50/4.36 tff(21015,plain,
% 5.50/4.36 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s183) | xuntil2p30(s183) | (~until2p29(s183))),
% 5.50/4.36 inference(modus_ponens,[status(thm)],[21014, 21013])).
% 5.50/4.36 tff(21016,plain,
% 5.50/4.36 (xuntil2p30(s183) | (~until2p29(s183))),
% 5.50/4.36 inference(unit_resolution,[status(thm)],[21015, 20793, 16656])).
% 5.50/4.36 tff(21017,plain,
% 5.50/4.36 (~until2p29(s183)),
% 5.50/4.36 inference(unit_resolution,[status(thm)],[21016, 21012])).
% 5.50/4.36 tff(21018,plain,
% 5.50/4.36 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s182, s183)) | until2p29(s183) | (~xuntil2p30(s182)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s182, s183)) | until2p29(s183) | (~xuntil2p30(s182)))),
% 5.50/4.36 inference(rewrite,[status(thm)],[])).
% 5.50/4.36 tff(21019,plain,
% 5.50/4.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s182, s183)) | until2p29(s183) | (~xuntil2p30(s182)))),
% 5.50/4.36 inference(quant_inst,[status(thm)],[])).
% 5.50/4.36 tff(21020,plain,
% 5.50/4.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s182, s183)) | until2p29(s183) | (~xuntil2p30(s182))),
% 5.50/4.36 inference(modus_ponens,[status(thm)],[21019, 21018])).
% 5.50/4.36 tff(21021,plain,
% 5.50/4.36 (until2p29(s183) | (~xuntil2p30(s182))),
% 5.50/4.36 inference(unit_resolution,[status(thm)],[21020, 14784, 20808])).
% 5.50/4.36 tff(21022,plain,
% 5.50/4.36 (~xuntil2p30(s182)),
% 5.50/4.36 inference(unit_resolution,[status(thm)],[21021, 21017])).
% 5.50/4.36 tff(21023,plain,
% 5.50/4.36 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s182) | xuntil2p30(s182) | (~until2p29(s182)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s182) | xuntil2p30(s182) | (~until2p29(s182)))),
% 5.50/4.36 inference(rewrite,[status(thm)],[])).
% 5.50/4.36 tff(21024,plain,
% 5.50/4.36 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s182) | xuntil2p30(s182) | (~until2p29(s182)))),
% 5.50/4.36 inference(quant_inst,[status(thm)],[])).
% 5.50/4.36 tff(21025,plain,
% 5.50/4.36 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s182) | xuntil2p30(s182) | (~until2p29(s182))),
% 5.50/4.36 inference(modus_ponens,[status(thm)],[21024, 21023])).
% 5.50/4.36 tff(21026,plain,
% 5.50/4.36 (xuntil2p30(s182) | (~until2p29(s182))),
% 5.50/4.36 inference(unit_resolution,[status(thm)],[21025, 20793, 16665])).
% 5.50/4.36 tff(21027,plain,
% 5.50/4.36 (~until2p29(s182)),
% 5.50/4.36 inference(unit_resolution,[status(thm)],[21026, 21022])).
% 5.50/4.36 tff(21028,plain,
% 5.50/4.36 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s181, s182)) | until2p29(s182) | (~xuntil2p30(s181)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s181, s182)) | until2p29(s182) | (~xuntil2p30(s181)))),
% 5.50/4.36 inference(rewrite,[status(thm)],[])).
% 5.50/4.36 tff(21029,plain,
% 5.50/4.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s181, s182)) | until2p29(s182) | (~xuntil2p30(s181)))),
% 5.50/4.36 inference(quant_inst,[status(thm)],[])).
% 5.50/4.36 tff(21030,plain,
% 5.50/4.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s181, s182)) | until2p29(s182) | (~xuntil2p30(s181))),
% 5.50/4.36 inference(modus_ponens,[status(thm)],[21029, 21028])).
% 5.50/4.36 tff(21031,plain,
% 5.50/4.36 (until2p29(s182) | (~xuntil2p30(s181))),
% 5.50/4.36 inference(unit_resolution,[status(thm)],[21030, 14720, 20808])).
% 5.50/4.36 tff(21032,plain,
% 5.50/4.36 (~xuntil2p30(s181)),
% 5.50/4.36 inference(unit_resolution,[status(thm)],[21031, 21027])).
% 5.50/4.36 tff(21033,plain,
% 5.50/4.36 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s181) | xuntil2p30(s181) | (~until2p29(s181)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s181) | xuntil2p30(s181) | (~until2p29(s181)))),
% 5.50/4.36 inference(rewrite,[status(thm)],[])).
% 5.50/4.36 tff(21034,plain,
% 5.50/4.36 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s181) | xuntil2p30(s181) | (~until2p29(s181)))),
% 5.50/4.36 inference(quant_inst,[status(thm)],[])).
% 5.50/4.36 tff(21035,plain,
% 5.50/4.36 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s181) | xuntil2p30(s181) | (~until2p29(s181))),
% 5.50/4.36 inference(modus_ponens,[status(thm)],[21034, 21033])).
% 5.50/4.36 tff(21036,plain,
% 5.50/4.36 (xuntil2p30(s181) | (~until2p29(s181))),
% 5.50/4.36 inference(unit_resolution,[status(thm)],[21035, 20793, 16669])).
% 5.50/4.36 tff(21037,plain,
% 5.50/4.36 (~until2p29(s181)),
% 5.50/4.36 inference(unit_resolution,[status(thm)],[21036, 21032])).
% 5.50/4.36 tff(21038,plain,
% 5.50/4.36 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s180, s181)) | until2p29(s181) | (~xuntil2p30(s180)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s180, s181)) | until2p29(s181) | (~xuntil2p30(s180)))),
% 5.50/4.36 inference(rewrite,[status(thm)],[])).
% 5.50/4.36 tff(21039,plain,
% 5.50/4.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s180, s181)) | until2p29(s181) | (~xuntil2p30(s180)))),
% 5.50/4.36 inference(quant_inst,[status(thm)],[])).
% 5.50/4.36 tff(21040,plain,
% 5.50/4.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s180, s181)) | until2p29(s181) | (~xuntil2p30(s180))),
% 5.50/4.36 inference(modus_ponens,[status(thm)],[21039, 21038])).
% 5.50/4.36 tff(21041,plain,
% 5.50/4.36 (until2p29(s181) | (~xuntil2p30(s180))),
% 5.50/4.36 inference(unit_resolution,[status(thm)],[21040, 14625, 20808])).
% 5.50/4.36 tff(21042,plain,
% 5.50/4.36 (~xuntil2p30(s180)),
% 5.50/4.36 inference(unit_resolution,[status(thm)],[21041, 21037])).
% 5.50/4.36 tff(21043,plain,
% 5.50/4.36 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s180) | xuntil2p30(s180) | (~until2p29(s180)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s180) | xuntil2p30(s180) | (~until2p29(s180)))),
% 5.50/4.37 inference(rewrite,[status(thm)],[])).
% 5.50/4.37 tff(21044,plain,
% 5.50/4.37 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s180) | xuntil2p30(s180) | (~until2p29(s180)))),
% 5.50/4.37 inference(quant_inst,[status(thm)],[])).
% 5.50/4.37 tff(21045,plain,
% 5.50/4.37 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s180) | xuntil2p30(s180) | (~until2p29(s180))),
% 5.50/4.37 inference(modus_ponens,[status(thm)],[21044, 21043])).
% 5.50/4.37 tff(21046,plain,
% 5.50/4.37 (xuntil2p30(s180) | (~until2p29(s180))),
% 5.50/4.37 inference(unit_resolution,[status(thm)],[21045, 20793, 20437])).
% 5.50/4.37 tff(21047,plain,
% 5.50/4.37 (~until2p29(s180)),
% 5.50/4.37 inference(unit_resolution,[status(thm)],[21046, 21042])).
% 5.50/4.37 tff(21048,plain,
% 5.50/4.37 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s179, s180)) | until2p29(s180) | (~xuntil2p30(s179)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s179, s180)) | until2p29(s180) | (~xuntil2p30(s179)))),
% 5.50/4.37 inference(rewrite,[status(thm)],[])).
% 5.50/4.37 tff(21049,plain,
% 5.50/4.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s179, s180)) | until2p29(s180) | (~xuntil2p30(s179)))),
% 5.50/4.37 inference(quant_inst,[status(thm)],[])).
% 5.50/4.37 tff(21050,plain,
% 5.50/4.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s179, s180)) | until2p29(s180) | (~xuntil2p30(s179))),
% 5.50/4.37 inference(modus_ponens,[status(thm)],[21049, 21048])).
% 5.50/4.37 tff(21051,plain,
% 5.50/4.37 (until2p29(s180) | (~xuntil2p30(s179))),
% 5.50/4.37 inference(unit_resolution,[status(thm)],[21050, 14564, 20808])).
% 5.50/4.37 tff(21052,plain,
% 5.50/4.37 (~xuntil2p30(s179)),
% 5.50/4.37 inference(unit_resolution,[status(thm)],[21051, 21047])).
% 5.50/4.37 tff(21053,plain,
% 5.50/4.37 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s179) | xuntil2p30(s179) | (~until2p29(s179)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s179) | xuntil2p30(s179) | (~until2p29(s179)))),
% 5.50/4.37 inference(rewrite,[status(thm)],[])).
% 5.50/4.37 tff(21054,plain,
% 5.50/4.37 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s179) | xuntil2p30(s179) | (~until2p29(s179)))),
% 5.50/4.37 inference(quant_inst,[status(thm)],[])).
% 5.50/4.37 tff(21055,plain,
% 5.50/4.37 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s179) | xuntil2p30(s179) | (~until2p29(s179))),
% 5.50/4.37 inference(modus_ponens,[status(thm)],[21054, 21053])).
% 5.50/4.37 tff(21056,plain,
% 5.50/4.37 (xuntil2p30(s179) | (~until2p29(s179))),
% 5.50/4.37 inference(unit_resolution,[status(thm)],[21055, 20793, 16685])).
% 5.50/4.37 tff(21057,plain,
% 5.50/4.37 (~until2p29(s179)),
% 5.50/4.37 inference(unit_resolution,[status(thm)],[21056, 21052])).
% 5.50/4.37 tff(21058,plain,
% 5.50/4.37 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s178, s179)) | until2p29(s179) | (~xuntil2p30(s178)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s178, s179)) | until2p29(s179) | (~xuntil2p30(s178)))),
% 5.50/4.37 inference(rewrite,[status(thm)],[])).
% 5.50/4.37 tff(21059,plain,
% 5.50/4.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s178, s179)) | until2p29(s179) | (~xuntil2p30(s178)))),
% 5.50/4.37 inference(quant_inst,[status(thm)],[])).
% 5.50/4.37 tff(21060,plain,
% 5.50/4.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s178, s179)) | until2p29(s179) | (~xuntil2p30(s178))),
% 5.50/4.37 inference(modus_ponens,[status(thm)],[21059, 21058])).
% 5.50/4.37 tff(21061,plain,
% 5.50/4.37 (until2p29(s179) | (~xuntil2p30(s178))),
% 5.50/4.37 inference(unit_resolution,[status(thm)],[21060, 14486, 20808])).
% 5.50/4.37 tff(21062,plain,
% 5.50/4.37 (~xuntil2p30(s178)),
% 5.50/4.37 inference(unit_resolution,[status(thm)],[21061, 21057])).
% 5.50/4.37 tff(21063,plain,
% 5.50/4.37 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s178) | xuntil2p30(s178) | (~until2p29(s178)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s178) | xuntil2p30(s178) | (~until2p29(s178)))),
% 5.50/4.37 inference(rewrite,[status(thm)],[])).
% 5.50/4.37 tff(21064,plain,
% 5.50/4.37 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s178) | xuntil2p30(s178) | (~until2p29(s178)))),
% 5.50/4.37 inference(quant_inst,[status(thm)],[])).
% 5.50/4.37 tff(21065,plain,
% 5.50/4.37 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s178) | xuntil2p30(s178) | (~until2p29(s178))),
% 5.50/4.37 inference(modus_ponens,[status(thm)],[21064, 21063])).
% 5.50/4.37 tff(21066,plain,
% 5.50/4.37 (xuntil2p30(s178) | (~until2p29(s178))),
% 5.50/4.37 inference(unit_resolution,[status(thm)],[21065, 20793, 16694])).
% 5.50/4.37 tff(21067,plain,
% 5.50/4.37 (~until2p29(s178)),
% 5.50/4.37 inference(unit_resolution,[status(thm)],[21066, 21062])).
% 5.50/4.37 tff(21068,plain,
% 5.50/4.37 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s177, s178)) | until2p29(s178) | (~xuntil2p30(s177)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s177, s178)) | until2p29(s178) | (~xuntil2p30(s177)))),
% 5.50/4.37 inference(rewrite,[status(thm)],[])).
% 5.50/4.37 tff(21069,plain,
% 5.50/4.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s177, s178)) | until2p29(s178) | (~xuntil2p30(s177)))),
% 5.50/4.37 inference(quant_inst,[status(thm)],[])).
% 5.50/4.37 tff(21070,plain,
% 5.50/4.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s177, s178)) | until2p29(s178) | (~xuntil2p30(s177))),
% 5.50/4.37 inference(modus_ponens,[status(thm)],[21069, 21068])).
% 5.50/4.37 tff(21071,plain,
% 5.50/4.37 (until2p29(s178) | (~xuntil2p30(s177))),
% 5.50/4.37 inference(unit_resolution,[status(thm)],[21070, 14387, 20808])).
% 5.50/4.37 tff(21072,plain,
% 5.50/4.37 (~xuntil2p30(s177)),
% 5.50/4.37 inference(unit_resolution,[status(thm)],[21071, 21067])).
% 5.50/4.37 tff(21073,plain,
% 5.50/4.37 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s177) | xuntil2p30(s177) | (~until2p29(s177)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s177) | xuntil2p30(s177) | (~until2p29(s177)))),
% 5.50/4.37 inference(rewrite,[status(thm)],[])).
% 5.50/4.37 tff(21074,plain,
% 5.50/4.37 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s177) | xuntil2p30(s177) | (~until2p29(s177)))),
% 5.50/4.37 inference(quant_inst,[status(thm)],[])).
% 5.50/4.37 tff(21075,plain,
% 5.50/4.37 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s177) | xuntil2p30(s177) | (~until2p29(s177))),
% 5.50/4.37 inference(modus_ponens,[status(thm)],[21074, 21073])).
% 5.50/4.37 tff(21076,plain,
% 5.50/4.37 (xuntil2p30(s177) | (~until2p29(s177))),
% 5.50/4.37 inference(unit_resolution,[status(thm)],[21075, 20793, 16698])).
% 5.50/4.37 tff(21077,plain,
% 5.50/4.37 (~until2p29(s177)),
% 5.50/4.37 inference(unit_resolution,[status(thm)],[21076, 21072])).
% 5.50/4.37 tff(21078,plain,
% 5.50/4.37 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s176, s177)) | until2p29(s177) | (~xuntil2p30(s176)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s176, s177)) | until2p29(s177) | (~xuntil2p30(s176)))),
% 5.50/4.37 inference(rewrite,[status(thm)],[])).
% 5.50/4.37 tff(21079,plain,
% 5.50/4.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s176, s177)) | until2p29(s177) | (~xuntil2p30(s176)))),
% 5.50/4.37 inference(quant_inst,[status(thm)],[])).
% 5.50/4.37 tff(21080,plain,
% 5.50/4.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s176, s177)) | until2p29(s177) | (~xuntil2p30(s176))),
% 5.50/4.37 inference(modus_ponens,[status(thm)],[21079, 21078])).
% 5.50/4.37 tff(21081,plain,
% 5.50/4.37 (until2p29(s177) | (~xuntil2p30(s176))),
% 5.50/4.37 inference(unit_resolution,[status(thm)],[21080, 14320, 20808])).
% 5.50/4.37 tff(21082,plain,
% 5.50/4.37 (~xuntil2p30(s176)),
% 5.50/4.37 inference(unit_resolution,[status(thm)],[21081, 21077])).
% 5.50/4.37 tff(21083,plain,
% 5.50/4.37 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s176) | xuntil2p30(s176) | (~until2p29(s176)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s176) | xuntil2p30(s176) | (~until2p29(s176)))),
% 5.50/4.37 inference(rewrite,[status(thm)],[])).
% 5.50/4.37 tff(21084,plain,
% 5.50/4.37 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s176) | xuntil2p30(s176) | (~until2p29(s176)))),
% 5.50/4.37 inference(quant_inst,[status(thm)],[])).
% 5.50/4.37 tff(21085,plain,
% 5.50/4.37 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s176) | xuntil2p30(s176) | (~until2p29(s176))),
% 5.50/4.37 inference(modus_ponens,[status(thm)],[21084, 21083])).
% 5.50/4.37 tff(21086,plain,
% 5.50/4.37 (xuntil2p30(s176) | (~until2p29(s176))),
% 5.50/4.37 inference(unit_resolution,[status(thm)],[21085, 20793, 20383])).
% 5.50/4.37 tff(21087,plain,
% 5.50/4.37 (~until2p29(s176)),
% 5.50/4.37 inference(unit_resolution,[status(thm)],[21086, 21082])).
% 5.50/4.37 tff(21088,plain,
% 5.50/4.37 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s175, s176)) | until2p29(s176) | (~xuntil2p30(s175)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s175, s176)) | until2p29(s176) | (~xuntil2p30(s175)))),
% 5.50/4.37 inference(rewrite,[status(thm)],[])).
% 5.50/4.37 tff(21089,plain,
% 5.50/4.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s175, s176)) | until2p29(s176) | (~xuntil2p30(s175)))),
% 5.50/4.37 inference(quant_inst,[status(thm)],[])).
% 5.50/4.37 tff(21090,plain,
% 5.50/4.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s175, s176)) | until2p29(s176) | (~xuntil2p30(s175))),
% 5.50/4.37 inference(modus_ponens,[status(thm)],[21089, 21088])).
% 5.50/4.37 tff(21091,plain,
% 5.50/4.37 (until2p29(s176) | (~xuntil2p30(s175))),
% 5.50/4.37 inference(unit_resolution,[status(thm)],[21090, 14231, 20808])).
% 5.50/4.37 tff(21092,plain,
% 5.50/4.37 (~xuntil2p30(s175)),
% 5.50/4.37 inference(unit_resolution,[status(thm)],[21091, 21087])).
% 5.50/4.37 tff(21093,plain,
% 5.50/4.37 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s175) | xuntil2p30(s175) | (~until2p29(s175)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s175) | xuntil2p30(s175) | (~until2p29(s175)))),
% 5.50/4.37 inference(rewrite,[status(thm)],[])).
% 5.50/4.37 tff(21094,plain,
% 5.50/4.37 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s175) | xuntil2p30(s175) | (~until2p29(s175)))),
% 5.50/4.37 inference(quant_inst,[status(thm)],[])).
% 5.50/4.37 tff(21095,plain,
% 5.50/4.37 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s175) | xuntil2p30(s175) | (~until2p29(s175))),
% 5.50/4.37 inference(modus_ponens,[status(thm)],[21094, 21093])).
% 5.50/4.37 tff(21096,plain,
% 5.50/4.37 (xuntil2p30(s175) | (~until2p29(s175))),
% 5.50/4.37 inference(unit_resolution,[status(thm)],[21095, 20793, 16714])).
% 5.50/4.37 tff(21097,plain,
% 5.50/4.37 (~until2p29(s175)),
% 5.50/4.37 inference(unit_resolution,[status(thm)],[21096, 21092])).
% 5.50/4.37 tff(21098,plain,
% 5.50/4.37 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s174, s175)) | until2p29(s175) | (~xuntil2p30(s174)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s174, s175)) | until2p29(s175) | (~xuntil2p30(s174)))),
% 5.50/4.37 inference(rewrite,[status(thm)],[])).
% 5.50/4.37 tff(21099,plain,
% 5.50/4.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s174, s175)) | until2p29(s175) | (~xuntil2p30(s174)))),
% 5.50/4.37 inference(quant_inst,[status(thm)],[])).
% 5.50/4.37 tff(21100,plain,
% 5.50/4.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s174, s175)) | until2p29(s175) | (~xuntil2p30(s174))),
% 5.50/4.37 inference(modus_ponens,[status(thm)],[21099, 21098])).
% 5.50/4.37 tff(21101,plain,
% 5.50/4.37 (until2p29(s175) | (~xuntil2p30(s174))),
% 5.50/4.37 inference(unit_resolution,[status(thm)],[21100, 14156, 20808])).
% 5.50/4.37 tff(21102,plain,
% 5.50/4.37 (~xuntil2p30(s174)),
% 5.50/4.37 inference(unit_resolution,[status(thm)],[21101, 21097])).
% 5.50/4.37 tff(21103,plain,
% 5.50/4.37 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s174) | xuntil2p30(s174) | (~until2p29(s174)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s174) | xuntil2p30(s174) | (~until2p29(s174)))),
% 5.50/4.37 inference(rewrite,[status(thm)],[])).
% 5.50/4.37 tff(21104,plain,
% 5.50/4.37 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s174) | xuntil2p30(s174) | (~until2p29(s174)))),
% 5.50/4.37 inference(quant_inst,[status(thm)],[])).
% 5.50/4.37 tff(21105,plain,
% 5.50/4.37 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s174) | xuntil2p30(s174) | (~until2p29(s174))),
% 5.50/4.37 inference(modus_ponens,[status(thm)],[21104, 21103])).
% 5.50/4.37 tff(21106,plain,
% 5.50/4.37 (xuntil2p30(s174) | (~until2p29(s174))),
% 5.50/4.37 inference(unit_resolution,[status(thm)],[21105, 20793, 16723])).
% 5.50/4.37 tff(21107,plain,
% 5.50/4.37 (~until2p29(s174)),
% 5.50/4.37 inference(unit_resolution,[status(thm)],[21106, 21102])).
% 5.50/4.37 tff(21108,plain,
% 5.50/4.37 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s173, s174)) | until2p29(s174) | (~xuntil2p30(s173)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s173, s174)) | until2p29(s174) | (~xuntil2p30(s173)))),
% 5.50/4.37 inference(rewrite,[status(thm)],[])).
% 5.50/4.37 tff(21109,plain,
% 5.50/4.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s173, s174)) | until2p29(s174) | (~xuntil2p30(s173)))),
% 5.50/4.37 inference(quant_inst,[status(thm)],[])).
% 5.50/4.37 tff(21110,plain,
% 5.50/4.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s173, s174)) | until2p29(s174) | (~xuntil2p30(s173))),
% 5.50/4.37 inference(modus_ponens,[status(thm)],[21109, 21108])).
% 5.50/4.37 tff(21111,plain,
% 5.50/4.37 (until2p29(s174) | (~xuntil2p30(s173))),
% 5.50/4.37 inference(unit_resolution,[status(thm)],[21110, 14092, 20808])).
% 5.50/4.37 tff(21112,plain,
% 5.50/4.37 (~xuntil2p30(s173)),
% 5.50/4.37 inference(unit_resolution,[status(thm)],[21111, 21107])).
% 5.50/4.37 tff(21113,plain,
% 5.50/4.37 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s173) | xuntil2p30(s173) | (~until2p29(s173)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s173) | xuntil2p30(s173) | (~until2p29(s173)))),
% 5.50/4.37 inference(rewrite,[status(thm)],[])).
% 5.50/4.37 tff(21114,plain,
% 5.50/4.37 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s173) | xuntil2p30(s173) | (~until2p29(s173)))),
% 5.50/4.37 inference(quant_inst,[status(thm)],[])).
% 5.50/4.37 tff(21115,plain,
% 5.50/4.37 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s173) | xuntil2p30(s173) | (~until2p29(s173))),
% 5.50/4.37 inference(modus_ponens,[status(thm)],[21114, 21113])).
% 5.50/4.37 tff(21116,plain,
% 5.50/4.37 (xuntil2p30(s173) | (~until2p29(s173))),
% 5.50/4.37 inference(unit_resolution,[status(thm)],[21115, 20793, 16727])).
% 5.50/4.37 tff(21117,plain,
% 5.50/4.37 (~until2p29(s173)),
% 5.50/4.37 inference(unit_resolution,[status(thm)],[21116, 21112])).
% 5.50/4.37 tff(21118,plain,
% 5.50/4.37 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s172, s173)) | until2p29(s173) | (~xuntil2p30(s172)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s172, s173)) | until2p29(s173) | (~xuntil2p30(s172)))),
% 5.50/4.37 inference(rewrite,[status(thm)],[])).
% 5.50/4.37 tff(21119,plain,
% 5.50/4.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s172, s173)) | until2p29(s173) | (~xuntil2p30(s172)))),
% 5.50/4.37 inference(quant_inst,[status(thm)],[])).
% 5.50/4.37 tff(21120,plain,
% 5.50/4.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s172, s173)) | until2p29(s173) | (~xuntil2p30(s172))),
% 5.50/4.37 inference(modus_ponens,[status(thm)],[21119, 21118])).
% 5.50/4.37 tff(21121,plain,
% 5.50/4.37 (until2p29(s173) | (~xuntil2p30(s172))),
% 5.50/4.37 inference(unit_resolution,[status(thm)],[21120, 13997, 20808])).
% 5.50/4.37 tff(21122,plain,
% 5.50/4.37 (~xuntil2p30(s172)),
% 5.50/4.37 inference(unit_resolution,[status(thm)],[21121, 21117])).
% 5.50/4.37 tff(21123,plain,
% 5.50/4.37 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s172) | xuntil2p30(s172) | (~until2p29(s172)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s172) | xuntil2p30(s172) | (~until2p29(s172)))),
% 5.50/4.37 inference(rewrite,[status(thm)],[])).
% 5.50/4.37 tff(21124,plain,
% 5.50/4.37 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s172) | xuntil2p30(s172) | (~until2p29(s172)))),
% 5.50/4.37 inference(quant_inst,[status(thm)],[])).
% 5.50/4.37 tff(21125,plain,
% 5.50/4.37 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s172) | xuntil2p30(s172) | (~until2p29(s172))),
% 5.50/4.37 inference(modus_ponens,[status(thm)],[21124, 21123])).
% 5.50/4.37 tff(21126,plain,
% 5.50/4.37 (xuntil2p30(s172) | (~until2p29(s172))),
% 5.50/4.37 inference(unit_resolution,[status(thm)],[21125, 20793, 20329])).
% 5.50/4.37 tff(21127,plain,
% 5.50/4.37 (~until2p29(s172)),
% 5.50/4.37 inference(unit_resolution,[status(thm)],[21126, 21122])).
% 5.50/4.37 tff(21128,plain,
% 5.50/4.37 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s171, s172)) | until2p29(s172) | (~xuntil2p30(s171)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s171, s172)) | until2p29(s172) | (~xuntil2p30(s171)))),
% 5.50/4.37 inference(rewrite,[status(thm)],[])).
% 5.50/4.37 tff(21129,plain,
% 5.50/4.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s171, s172)) | until2p29(s172) | (~xuntil2p30(s171)))),
% 5.50/4.37 inference(quant_inst,[status(thm)],[])).
% 5.50/4.37 tff(21130,plain,
% 5.50/4.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s171, s172)) | until2p29(s172) | (~xuntil2p30(s171))),
% 5.50/4.37 inference(modus_ponens,[status(thm)],[21129, 21128])).
% 5.50/4.37 tff(21131,plain,
% 5.50/4.37 (until2p29(s172) | (~xuntil2p30(s171))),
% 5.50/4.37 inference(unit_resolution,[status(thm)],[21130, 13936, 20808])).
% 5.50/4.37 tff(21132,plain,
% 5.50/4.37 (~xuntil2p30(s171)),
% 5.50/4.37 inference(unit_resolution,[status(thm)],[21131, 21127])).
% 5.50/4.37 tff(21133,plain,
% 5.50/4.37 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s171) | xuntil2p30(s171) | (~until2p29(s171)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s171) | xuntil2p30(s171) | (~until2p29(s171)))),
% 5.50/4.37 inference(rewrite,[status(thm)],[])).
% 5.50/4.37 tff(21134,plain,
% 5.50/4.37 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s171) | xuntil2p30(s171) | (~until2p29(s171)))),
% 5.50/4.37 inference(quant_inst,[status(thm)],[])).
% 5.50/4.37 tff(21135,plain,
% 5.50/4.37 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s171) | xuntil2p30(s171) | (~until2p29(s171))),
% 5.50/4.37 inference(modus_ponens,[status(thm)],[21134, 21133])).
% 5.50/4.37 tff(21136,plain,
% 5.50/4.37 (xuntil2p30(s171) | (~until2p29(s171))),
% 5.50/4.37 inference(unit_resolution,[status(thm)],[21135, 20793, 16743])).
% 5.50/4.37 tff(21137,plain,
% 5.50/4.37 (~until2p29(s171)),
% 5.50/4.37 inference(unit_resolution,[status(thm)],[21136, 21132])).
% 5.50/4.37 tff(21138,plain,
% 5.50/4.37 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s170, s171)) | until2p29(s171) | (~xuntil2p30(s170)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s170, s171)) | until2p29(s171) | (~xuntil2p30(s170)))),
% 5.50/4.37 inference(rewrite,[status(thm)],[])).
% 5.50/4.37 tff(21139,plain,
% 5.50/4.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s170, s171)) | until2p29(s171) | (~xuntil2p30(s170)))),
% 5.50/4.37 inference(quant_inst,[status(thm)],[])).
% 5.50/4.37 tff(21140,plain,
% 5.50/4.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s170, s171)) | until2p29(s171) | (~xuntil2p30(s170))),
% 5.50/4.37 inference(modus_ponens,[status(thm)],[21139, 21138])).
% 5.50/4.37 tff(21141,plain,
% 5.50/4.37 (until2p29(s171) | (~xuntil2p30(s170))),
% 5.50/4.37 inference(unit_resolution,[status(thm)],[21140, 13858, 20808])).
% 5.50/4.37 tff(21142,plain,
% 5.50/4.37 (~xuntil2p30(s170)),
% 5.50/4.37 inference(unit_resolution,[status(thm)],[21141, 21137])).
% 5.50/4.37 tff(21143,plain,
% 5.50/4.37 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s170) | xuntil2p30(s170) | (~until2p29(s170)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s170) | xuntil2p30(s170) | (~until2p29(s170)))),
% 5.50/4.37 inference(rewrite,[status(thm)],[])).
% 5.50/4.37 tff(21144,plain,
% 5.50/4.37 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s170) | xuntil2p30(s170) | (~until2p29(s170)))),
% 5.50/4.37 inference(quant_inst,[status(thm)],[])).
% 5.50/4.37 tff(21145,plain,
% 5.50/4.37 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s170) | xuntil2p30(s170) | (~until2p29(s170))),
% 5.50/4.37 inference(modus_ponens,[status(thm)],[21144, 21143])).
% 5.50/4.37 tff(21146,plain,
% 5.50/4.37 (xuntil2p30(s170) | (~until2p29(s170))),
% 5.50/4.37 inference(unit_resolution,[status(thm)],[21145, 20793, 16752])).
% 5.50/4.37 tff(21147,plain,
% 5.50/4.37 (~until2p29(s170)),
% 5.50/4.37 inference(unit_resolution,[status(thm)],[21146, 21142])).
% 5.50/4.37 tff(21148,plain,
% 5.50/4.37 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s169, s170)) | until2p29(s170) | (~xuntil2p30(s169)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s169, s170)) | until2p29(s170) | (~xuntil2p30(s169)))),
% 5.50/4.37 inference(rewrite,[status(thm)],[])).
% 5.50/4.37 tff(21149,plain,
% 5.50/4.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s169, s170)) | until2p29(s170) | (~xuntil2p30(s169)))),
% 5.50/4.37 inference(quant_inst,[status(thm)],[])).
% 5.50/4.37 tff(21150,plain,
% 5.50/4.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s169, s170)) | until2p29(s170) | (~xuntil2p30(s169))),
% 5.50/4.37 inference(modus_ponens,[status(thm)],[21149, 21148])).
% 5.50/4.37 tff(21151,plain,
% 5.50/4.37 (until2p29(s170) | (~xuntil2p30(s169))),
% 5.50/4.37 inference(unit_resolution,[status(thm)],[21150, 13759, 20808])).
% 5.50/4.37 tff(21152,plain,
% 5.50/4.37 (~xuntil2p30(s169)),
% 5.50/4.37 inference(unit_resolution,[status(thm)],[21151, 21147])).
% 5.50/4.37 tff(21153,plain,
% 5.50/4.37 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s169) | xuntil2p30(s169) | (~until2p29(s169)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s169) | xuntil2p30(s169) | (~until2p29(s169)))),
% 5.50/4.37 inference(rewrite,[status(thm)],[])).
% 5.50/4.37 tff(21154,plain,
% 5.50/4.37 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s169) | xuntil2p30(s169) | (~until2p29(s169)))),
% 5.50/4.37 inference(quant_inst,[status(thm)],[])).
% 5.50/4.37 tff(21155,plain,
% 5.50/4.37 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s169) | xuntil2p30(s169) | (~until2p29(s169))),
% 5.50/4.37 inference(modus_ponens,[status(thm)],[21154, 21153])).
% 5.50/4.37 tff(21156,plain,
% 5.50/4.37 (xuntil2p30(s169) | (~until2p29(s169))),
% 5.50/4.37 inference(unit_resolution,[status(thm)],[21155, 20793, 16756])).
% 5.50/4.37 tff(21157,plain,
% 5.50/4.37 (~until2p29(s169)),
% 5.50/4.37 inference(unit_resolution,[status(thm)],[21156, 21152])).
% 5.50/4.37 tff(21158,plain,
% 5.50/4.37 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s168, s169)) | until2p29(s169) | (~xuntil2p30(s168)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s168, s169)) | until2p29(s169) | (~xuntil2p30(s168)))),
% 5.50/4.37 inference(rewrite,[status(thm)],[])).
% 5.50/4.37 tff(21159,plain,
% 5.50/4.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s168, s169)) | until2p29(s169) | (~xuntil2p30(s168)))),
% 5.50/4.37 inference(quant_inst,[status(thm)],[])).
% 5.50/4.37 tff(21160,plain,
% 5.50/4.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s168, s169)) | until2p29(s169) | (~xuntil2p30(s168))),
% 5.50/4.37 inference(modus_ponens,[status(thm)],[21159, 21158])).
% 5.50/4.37 tff(21161,plain,
% 5.50/4.37 (until2p29(s169) | (~xuntil2p30(s168))),
% 5.50/4.37 inference(unit_resolution,[status(thm)],[21160, 13692, 20808])).
% 5.50/4.37 tff(21162,plain,
% 5.50/4.37 (~xuntil2p30(s168)),
% 5.50/4.37 inference(unit_resolution,[status(thm)],[21161, 21157])).
% 5.50/4.37 tff(21163,plain,
% 5.50/4.37 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s168) | xuntil2p30(s168) | (~until2p29(s168)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s168) | xuntil2p30(s168) | (~until2p29(s168)))),
% 5.50/4.37 inference(rewrite,[status(thm)],[])).
% 5.50/4.37 tff(21164,plain,
% 5.50/4.37 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s168) | xuntil2p30(s168) | (~until2p29(s168)))),
% 5.50/4.37 inference(quant_inst,[status(thm)],[])).
% 5.50/4.37 tff(21165,plain,
% 5.50/4.37 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s168) | xuntil2p30(s168) | (~until2p29(s168))),
% 5.50/4.37 inference(modus_ponens,[status(thm)],[21164, 21163])).
% 5.50/4.37 tff(21166,plain,
% 5.50/4.37 (xuntil2p30(s168) | (~until2p29(s168))),
% 5.50/4.37 inference(unit_resolution,[status(thm)],[21165, 20793, 20275])).
% 5.50/4.37 tff(21167,plain,
% 5.50/4.37 (~until2p29(s168)),
% 5.50/4.37 inference(unit_resolution,[status(thm)],[21166, 21162])).
% 5.50/4.37 tff(21168,plain,
% 5.50/4.37 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s167, s168)) | until2p29(s168) | (~xuntil2p30(s167)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s167, s168)) | until2p29(s168) | (~xuntil2p30(s167)))),
% 5.50/4.37 inference(rewrite,[status(thm)],[])).
% 5.50/4.37 tff(21169,plain,
% 5.50/4.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s167, s168)) | until2p29(s168) | (~xuntil2p30(s167)))),
% 5.50/4.37 inference(quant_inst,[status(thm)],[])).
% 5.50/4.37 tff(21170,plain,
% 5.50/4.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s167, s168)) | until2p29(s168) | (~xuntil2p30(s167))),
% 5.50/4.37 inference(modus_ponens,[status(thm)],[21169, 21168])).
% 5.50/4.37 tff(21171,plain,
% 5.50/4.37 (until2p29(s168) | (~xuntil2p30(s167))),
% 5.50/4.37 inference(unit_resolution,[status(thm)],[21170, 13603, 20808])).
% 5.50/4.37 tff(21172,plain,
% 5.50/4.37 (~xuntil2p30(s167)),
% 5.50/4.37 inference(unit_resolution,[status(thm)],[21171, 21167])).
% 5.50/4.37 tff(21173,plain,
% 5.50/4.37 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s167) | xuntil2p30(s167) | (~until2p29(s167)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s167) | xuntil2p30(s167) | (~until2p29(s167)))),
% 5.50/4.37 inference(rewrite,[status(thm)],[])).
% 5.50/4.37 tff(21174,plain,
% 5.50/4.37 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s167) | xuntil2p30(s167) | (~until2p29(s167)))),
% 5.50/4.37 inference(quant_inst,[status(thm)],[])).
% 5.50/4.37 tff(21175,plain,
% 5.50/4.37 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s167) | xuntil2p30(s167) | (~until2p29(s167))),
% 5.50/4.37 inference(modus_ponens,[status(thm)],[21174, 21173])).
% 5.50/4.37 tff(21176,plain,
% 5.50/4.37 (xuntil2p30(s167) | (~until2p29(s167))),
% 5.50/4.37 inference(unit_resolution,[status(thm)],[21175, 20793, 16772])).
% 5.50/4.37 tff(21177,plain,
% 5.50/4.37 (~until2p29(s167)),
% 5.50/4.37 inference(unit_resolution,[status(thm)],[21176, 21172])).
% 5.50/4.37 tff(21178,plain,
% 5.50/4.37 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s166, s167)) | until2p29(s167) | (~xuntil2p30(s166)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s166, s167)) | until2p29(s167) | (~xuntil2p30(s166)))),
% 5.50/4.37 inference(rewrite,[status(thm)],[])).
% 5.50/4.37 tff(21179,plain,
% 5.50/4.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s166, s167)) | until2p29(s167) | (~xuntil2p30(s166)))),
% 5.50/4.37 inference(quant_inst,[status(thm)],[])).
% 5.50/4.37 tff(21180,plain,
% 5.50/4.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s166, s167)) | until2p29(s167) | (~xuntil2p30(s166))),
% 5.50/4.37 inference(modus_ponens,[status(thm)],[21179, 21178])).
% 5.50/4.37 tff(21181,plain,
% 5.50/4.37 (until2p29(s167) | (~xuntil2p30(s166))),
% 5.50/4.37 inference(unit_resolution,[status(thm)],[21180, 13528, 20808])).
% 5.50/4.37 tff(21182,plain,
% 5.50/4.37 (~xuntil2p30(s166)),
% 5.50/4.37 inference(unit_resolution,[status(thm)],[21181, 21177])).
% 5.50/4.37 tff(21183,plain,
% 5.50/4.37 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s166) | xuntil2p30(s166) | (~until2p29(s166)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s166) | xuntil2p30(s166) | (~until2p29(s166)))),
% 5.50/4.37 inference(rewrite,[status(thm)],[])).
% 5.50/4.37 tff(21184,plain,
% 5.50/4.37 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s166) | xuntil2p30(s166) | (~until2p29(s166)))),
% 5.50/4.37 inference(quant_inst,[status(thm)],[])).
% 5.50/4.37 tff(21185,plain,
% 5.50/4.37 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s166) | xuntil2p30(s166) | (~until2p29(s166))),
% 5.50/4.37 inference(modus_ponens,[status(thm)],[21184, 21183])).
% 5.50/4.37 tff(21186,plain,
% 5.50/4.37 (xuntil2p30(s166) | (~until2p29(s166))),
% 5.50/4.37 inference(unit_resolution,[status(thm)],[21185, 20793, 16781])).
% 5.50/4.37 tff(21187,plain,
% 5.50/4.37 (~until2p29(s166)),
% 5.50/4.37 inference(unit_resolution,[status(thm)],[21186, 21182])).
% 5.50/4.37 tff(21188,plain,
% 5.50/4.37 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s165, s166)) | until2p29(s166) | (~xuntil2p30(s165)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s165, s166)) | until2p29(s166) | (~xuntil2p30(s165)))),
% 5.50/4.37 inference(rewrite,[status(thm)],[])).
% 5.50/4.37 tff(21189,plain,
% 5.50/4.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s165, s166)) | until2p29(s166) | (~xuntil2p30(s165)))),
% 5.50/4.37 inference(quant_inst,[status(thm)],[])).
% 5.50/4.37 tff(21190,plain,
% 5.50/4.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s165, s166)) | until2p29(s166) | (~xuntil2p30(s165))),
% 5.50/4.37 inference(modus_ponens,[status(thm)],[21189, 21188])).
% 5.50/4.37 tff(21191,plain,
% 5.50/4.37 (until2p29(s166) | (~xuntil2p30(s165))),
% 5.50/4.37 inference(unit_resolution,[status(thm)],[21190, 13464, 20808])).
% 5.50/4.37 tff(21192,plain,
% 5.50/4.37 (~xuntil2p30(s165)),
% 5.50/4.37 inference(unit_resolution,[status(thm)],[21191, 21187])).
% 5.50/4.37 tff(21193,plain,
% 5.50/4.37 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s165) | xuntil2p30(s165) | (~until2p29(s165)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s165) | xuntil2p30(s165) | (~until2p29(s165)))),
% 5.50/4.37 inference(rewrite,[status(thm)],[])).
% 5.50/4.37 tff(21194,plain,
% 5.50/4.37 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s165) | xuntil2p30(s165) | (~until2p29(s165)))),
% 5.50/4.37 inference(quant_inst,[status(thm)],[])).
% 5.50/4.37 tff(21195,plain,
% 5.50/4.37 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s165) | xuntil2p30(s165) | (~until2p29(s165))),
% 5.50/4.37 inference(modus_ponens,[status(thm)],[21194, 21193])).
% 5.50/4.37 tff(21196,plain,
% 5.50/4.37 (xuntil2p30(s165) | (~until2p29(s165))),
% 5.50/4.37 inference(unit_resolution,[status(thm)],[21195, 20793, 16785])).
% 5.50/4.37 tff(21197,plain,
% 5.50/4.37 (~until2p29(s165)),
% 5.50/4.37 inference(unit_resolution,[status(thm)],[21196, 21192])).
% 5.50/4.37 tff(21198,plain,
% 5.50/4.37 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s164, s165)) | until2p29(s165) | (~xuntil2p30(s164)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s164, s165)) | until2p29(s165) | (~xuntil2p30(s164)))),
% 5.50/4.37 inference(rewrite,[status(thm)],[])).
% 5.50/4.37 tff(21199,plain,
% 5.50/4.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s164, s165)) | until2p29(s165) | (~xuntil2p30(s164)))),
% 5.50/4.37 inference(quant_inst,[status(thm)],[])).
% 5.50/4.37 tff(21200,plain,
% 5.50/4.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s164, s165)) | until2p29(s165) | (~xuntil2p30(s164))),
% 5.50/4.37 inference(modus_ponens,[status(thm)],[21199, 21198])).
% 5.50/4.37 tff(21201,plain,
% 5.50/4.37 (until2p29(s165) | (~xuntil2p30(s164))),
% 5.50/4.37 inference(unit_resolution,[status(thm)],[21200, 13369, 20808])).
% 5.50/4.37 tff(21202,plain,
% 5.50/4.37 (~xuntil2p30(s164)),
% 5.50/4.37 inference(unit_resolution,[status(thm)],[21201, 21197])).
% 5.50/4.37 tff(21203,plain,
% 5.50/4.37 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s164) | xuntil2p30(s164) | (~until2p29(s164)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s164) | xuntil2p30(s164) | (~until2p29(s164)))),
% 5.50/4.37 inference(rewrite,[status(thm)],[])).
% 5.50/4.37 tff(21204,plain,
% 5.50/4.37 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s164) | xuntil2p30(s164) | (~until2p29(s164)))),
% 5.50/4.37 inference(quant_inst,[status(thm)],[])).
% 5.50/4.37 tff(21205,plain,
% 5.50/4.37 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s164) | xuntil2p30(s164) | (~until2p29(s164))),
% 5.50/4.37 inference(modus_ponens,[status(thm)],[21204, 21203])).
% 5.50/4.37 tff(21206,plain,
% 5.50/4.37 (xuntil2p30(s164) | (~until2p29(s164))),
% 5.50/4.37 inference(unit_resolution,[status(thm)],[21205, 20793, 20221])).
% 5.50/4.37 tff(21207,plain,
% 5.50/4.37 (~until2p29(s164)),
% 5.50/4.37 inference(unit_resolution,[status(thm)],[21206, 21202])).
% 5.50/4.37 tff(21208,plain,
% 5.50/4.37 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s163, s164)) | until2p29(s164) | (~xuntil2p30(s163)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s163, s164)) | until2p29(s164) | (~xuntil2p30(s163)))),
% 5.50/4.37 inference(rewrite,[status(thm)],[])).
% 5.50/4.37 tff(21209,plain,
% 5.50/4.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s163, s164)) | until2p29(s164) | (~xuntil2p30(s163)))),
% 5.50/4.37 inference(quant_inst,[status(thm)],[])).
% 5.50/4.37 tff(21210,plain,
% 5.50/4.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s163, s164)) | until2p29(s164) | (~xuntil2p30(s163))),
% 5.50/4.37 inference(modus_ponens,[status(thm)],[21209, 21208])).
% 5.50/4.37 tff(21211,plain,
% 5.50/4.37 (until2p29(s164) | (~xuntil2p30(s163))),
% 5.50/4.37 inference(unit_resolution,[status(thm)],[21210, 13308, 20808])).
% 5.50/4.37 tff(21212,plain,
% 5.50/4.37 (~xuntil2p30(s163)),
% 5.50/4.37 inference(unit_resolution,[status(thm)],[21211, 21207])).
% 5.50/4.37 tff(21213,plain,
% 5.50/4.37 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s163) | xuntil2p30(s163) | (~until2p29(s163)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s163) | xuntil2p30(s163) | (~until2p29(s163)))),
% 5.50/4.38 inference(rewrite,[status(thm)],[])).
% 5.50/4.38 tff(21214,plain,
% 5.50/4.38 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s163) | xuntil2p30(s163) | (~until2p29(s163)))),
% 5.50/4.38 inference(quant_inst,[status(thm)],[])).
% 5.50/4.38 tff(21215,plain,
% 5.50/4.38 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s163) | xuntil2p30(s163) | (~until2p29(s163))),
% 5.50/4.38 inference(modus_ponens,[status(thm)],[21214, 21213])).
% 5.50/4.38 tff(21216,plain,
% 5.50/4.38 (xuntil2p30(s163) | (~until2p29(s163))),
% 5.50/4.38 inference(unit_resolution,[status(thm)],[21215, 20793, 16801])).
% 5.50/4.38 tff(21217,plain,
% 5.50/4.38 (~until2p29(s163)),
% 5.50/4.38 inference(unit_resolution,[status(thm)],[21216, 21212])).
% 5.50/4.38 tff(21218,plain,
% 5.50/4.38 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s162, s163)) | until2p29(s163) | (~xuntil2p30(s162)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s162, s163)) | until2p29(s163) | (~xuntil2p30(s162)))),
% 5.50/4.38 inference(rewrite,[status(thm)],[])).
% 5.50/4.38 tff(21219,plain,
% 5.50/4.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s162, s163)) | until2p29(s163) | (~xuntil2p30(s162)))),
% 5.50/4.38 inference(quant_inst,[status(thm)],[])).
% 5.50/4.38 tff(21220,plain,
% 5.50/4.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s162, s163)) | until2p29(s163) | (~xuntil2p30(s162))),
% 5.50/4.38 inference(modus_ponens,[status(thm)],[21219, 21218])).
% 5.50/4.38 tff(21221,plain,
% 5.50/4.38 (until2p29(s163) | (~xuntil2p30(s162))),
% 5.50/4.38 inference(unit_resolution,[status(thm)],[21220, 13230, 20808])).
% 5.50/4.38 tff(21222,plain,
% 5.50/4.38 (~xuntil2p30(s162)),
% 5.50/4.38 inference(unit_resolution,[status(thm)],[21221, 21217])).
% 5.50/4.38 tff(21223,plain,
% 5.50/4.38 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s162) | xuntil2p30(s162) | (~until2p29(s162)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s162) | xuntil2p30(s162) | (~until2p29(s162)))),
% 5.50/4.38 inference(rewrite,[status(thm)],[])).
% 5.50/4.38 tff(21224,plain,
% 5.50/4.38 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s162) | xuntil2p30(s162) | (~until2p29(s162)))),
% 5.50/4.38 inference(quant_inst,[status(thm)],[])).
% 5.50/4.38 tff(21225,plain,
% 5.50/4.38 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s162) | xuntil2p30(s162) | (~until2p29(s162))),
% 5.50/4.38 inference(modus_ponens,[status(thm)],[21224, 21223])).
% 5.50/4.38 tff(21226,plain,
% 5.50/4.38 (xuntil2p30(s162) | (~until2p29(s162))),
% 5.50/4.38 inference(unit_resolution,[status(thm)],[21225, 20793, 16810])).
% 5.50/4.38 tff(21227,plain,
% 5.50/4.38 (~until2p29(s162)),
% 5.50/4.38 inference(unit_resolution,[status(thm)],[21226, 21222])).
% 5.50/4.38 tff(21228,plain,
% 5.50/4.38 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s161, s162)) | until2p29(s162) | (~xuntil2p30(s161)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s161, s162)) | until2p29(s162) | (~xuntil2p30(s161)))),
% 5.50/4.38 inference(rewrite,[status(thm)],[])).
% 5.50/4.38 tff(21229,plain,
% 5.50/4.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s161, s162)) | until2p29(s162) | (~xuntil2p30(s161)))),
% 5.50/4.38 inference(quant_inst,[status(thm)],[])).
% 5.50/4.38 tff(21230,plain,
% 5.50/4.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s161, s162)) | until2p29(s162) | (~xuntil2p30(s161))),
% 5.50/4.38 inference(modus_ponens,[status(thm)],[21229, 21228])).
% 5.50/4.38 tff(21231,plain,
% 5.50/4.38 (until2p29(s162) | (~xuntil2p30(s161))),
% 5.50/4.38 inference(unit_resolution,[status(thm)],[21230, 13131, 20808])).
% 5.50/4.38 tff(21232,plain,
% 5.50/4.38 (~xuntil2p30(s161)),
% 5.50/4.38 inference(unit_resolution,[status(thm)],[21231, 21227])).
% 5.50/4.38 tff(21233,plain,
% 5.50/4.38 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s161) | xuntil2p30(s161) | (~until2p29(s161)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s161) | xuntil2p30(s161) | (~until2p29(s161)))),
% 5.50/4.38 inference(rewrite,[status(thm)],[])).
% 5.50/4.38 tff(21234,plain,
% 5.50/4.38 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s161) | xuntil2p30(s161) | (~until2p29(s161)))),
% 5.50/4.38 inference(quant_inst,[status(thm)],[])).
% 5.50/4.38 tff(21235,plain,
% 5.50/4.38 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s161) | xuntil2p30(s161) | (~until2p29(s161))),
% 5.50/4.38 inference(modus_ponens,[status(thm)],[21234, 21233])).
% 5.50/4.38 tff(21236,plain,
% 5.50/4.38 (xuntil2p30(s161) | (~until2p29(s161))),
% 5.50/4.38 inference(unit_resolution,[status(thm)],[21235, 20793, 16814])).
% 5.50/4.38 tff(21237,plain,
% 5.50/4.38 (~until2p29(s161)),
% 5.50/4.38 inference(unit_resolution,[status(thm)],[21236, 21232])).
% 5.50/4.38 tff(21238,plain,
% 5.50/4.38 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s160, s161)) | until2p29(s161) | (~xuntil2p30(s160)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s160, s161)) | until2p29(s161) | (~xuntil2p30(s160)))),
% 5.50/4.38 inference(rewrite,[status(thm)],[])).
% 5.50/4.38 tff(21239,plain,
% 5.50/4.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s160, s161)) | until2p29(s161) | (~xuntil2p30(s160)))),
% 5.50/4.38 inference(quant_inst,[status(thm)],[])).
% 5.50/4.38 tff(21240,plain,
% 5.50/4.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s160, s161)) | until2p29(s161) | (~xuntil2p30(s160))),
% 5.50/4.38 inference(modus_ponens,[status(thm)],[21239, 21238])).
% 5.50/4.38 tff(21241,plain,
% 5.50/4.38 (until2p29(s161) | (~xuntil2p30(s160))),
% 5.50/4.38 inference(unit_resolution,[status(thm)],[21240, 13064, 20808])).
% 5.50/4.38 tff(21242,plain,
% 5.50/4.38 (~xuntil2p30(s160)),
% 5.50/4.38 inference(unit_resolution,[status(thm)],[21241, 21237])).
% 5.50/4.38 tff(21243,plain,
% 5.50/4.38 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s160) | xuntil2p30(s160) | (~until2p29(s160)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s160) | xuntil2p30(s160) | (~until2p29(s160)))),
% 5.50/4.38 inference(rewrite,[status(thm)],[])).
% 5.50/4.38 tff(21244,plain,
% 5.50/4.38 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s160) | xuntil2p30(s160) | (~until2p29(s160)))),
% 5.50/4.38 inference(quant_inst,[status(thm)],[])).
% 5.50/4.38 tff(21245,plain,
% 5.50/4.38 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s160) | xuntil2p30(s160) | (~until2p29(s160))),
% 5.50/4.38 inference(modus_ponens,[status(thm)],[21244, 21243])).
% 5.50/4.38 tff(21246,plain,
% 5.50/4.38 (xuntil2p30(s160) | (~until2p29(s160))),
% 5.50/4.38 inference(unit_resolution,[status(thm)],[21245, 20793, 20167])).
% 5.50/4.38 tff(21247,plain,
% 5.50/4.38 (~until2p29(s160)),
% 5.50/4.38 inference(unit_resolution,[status(thm)],[21246, 21242])).
% 5.50/4.38 tff(21248,plain,
% 5.50/4.38 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s159, s160)) | until2p29(s160) | (~xuntil2p30(s159)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s159, s160)) | until2p29(s160) | (~xuntil2p30(s159)))),
% 5.50/4.38 inference(rewrite,[status(thm)],[])).
% 5.50/4.38 tff(21249,plain,
% 5.50/4.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s159, s160)) | until2p29(s160) | (~xuntil2p30(s159)))),
% 5.50/4.38 inference(quant_inst,[status(thm)],[])).
% 5.50/4.38 tff(21250,plain,
% 5.50/4.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s159, s160)) | until2p29(s160) | (~xuntil2p30(s159))),
% 5.50/4.38 inference(modus_ponens,[status(thm)],[21249, 21248])).
% 5.50/4.38 tff(21251,plain,
% 5.50/4.38 (until2p29(s160) | (~xuntil2p30(s159))),
% 5.50/4.38 inference(unit_resolution,[status(thm)],[21250, 12975, 20808])).
% 5.50/4.38 tff(21252,plain,
% 5.50/4.38 (~xuntil2p30(s159)),
% 5.50/4.38 inference(unit_resolution,[status(thm)],[21251, 21247])).
% 5.50/4.38 tff(21253,plain,
% 5.50/4.38 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s159) | xuntil2p30(s159) | (~until2p29(s159)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s159) | xuntil2p30(s159) | (~until2p29(s159)))),
% 5.50/4.38 inference(rewrite,[status(thm)],[])).
% 5.50/4.38 tff(21254,plain,
% 5.50/4.38 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s159) | xuntil2p30(s159) | (~until2p29(s159)))),
% 5.50/4.38 inference(quant_inst,[status(thm)],[])).
% 5.50/4.38 tff(21255,plain,
% 5.50/4.38 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s159) | xuntil2p30(s159) | (~until2p29(s159))),
% 5.50/4.38 inference(modus_ponens,[status(thm)],[21254, 21253])).
% 5.54/4.38 tff(21256,plain,
% 5.54/4.38 (xuntil2p30(s159) | (~until2p29(s159))),
% 5.54/4.38 inference(unit_resolution,[status(thm)],[21255, 20793, 16830])).
% 5.54/4.38 tff(21257,plain,
% 5.54/4.38 (~until2p29(s159)),
% 5.54/4.38 inference(unit_resolution,[status(thm)],[21256, 21252])).
% 5.54/4.38 tff(21258,plain,
% 5.54/4.38 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s158, s159)) | until2p29(s159) | (~xuntil2p30(s158)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s158, s159)) | until2p29(s159) | (~xuntil2p30(s158)))),
% 5.54/4.38 inference(rewrite,[status(thm)],[])).
% 5.54/4.38 tff(21259,plain,
% 5.54/4.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s158, s159)) | until2p29(s159) | (~xuntil2p30(s158)))),
% 5.54/4.38 inference(quant_inst,[status(thm)],[])).
% 5.54/4.38 tff(21260,plain,
% 5.54/4.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s158, s159)) | until2p29(s159) | (~xuntil2p30(s158))),
% 5.54/4.38 inference(modus_ponens,[status(thm)],[21259, 21258])).
% 5.54/4.38 tff(21261,plain,
% 5.54/4.38 (until2p29(s159) | (~xuntil2p30(s158))),
% 5.54/4.38 inference(unit_resolution,[status(thm)],[21260, 12900, 20808])).
% 5.54/4.38 tff(21262,plain,
% 5.54/4.38 (~xuntil2p30(s158)),
% 5.54/4.38 inference(unit_resolution,[status(thm)],[21261, 21257])).
% 5.54/4.38 tff(21263,plain,
% 5.54/4.38 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s158) | xuntil2p30(s158) | (~until2p29(s158)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s158) | xuntil2p30(s158) | (~until2p29(s158)))),
% 5.54/4.38 inference(rewrite,[status(thm)],[])).
% 5.54/4.38 tff(21264,plain,
% 5.54/4.38 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s158) | xuntil2p30(s158) | (~until2p29(s158)))),
% 5.54/4.38 inference(quant_inst,[status(thm)],[])).
% 5.54/4.38 tff(21265,plain,
% 5.54/4.38 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s158) | xuntil2p30(s158) | (~until2p29(s158))),
% 5.54/4.38 inference(modus_ponens,[status(thm)],[21264, 21263])).
% 5.54/4.38 tff(21266,plain,
% 5.54/4.38 (xuntil2p30(s158) | (~until2p29(s158))),
% 5.54/4.38 inference(unit_resolution,[status(thm)],[21265, 20793, 16839])).
% 5.54/4.38 tff(21267,plain,
% 5.54/4.38 (~until2p29(s158)),
% 5.54/4.38 inference(unit_resolution,[status(thm)],[21266, 21262])).
% 5.54/4.38 tff(21268,plain,
% 5.54/4.38 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s157, s158)) | until2p29(s158) | (~xuntil2p30(s157)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s157, s158)) | until2p29(s158) | (~xuntil2p30(s157)))),
% 5.54/4.38 inference(rewrite,[status(thm)],[])).
% 5.54/4.38 tff(21269,plain,
% 5.54/4.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s157, s158)) | until2p29(s158) | (~xuntil2p30(s157)))),
% 5.54/4.38 inference(quant_inst,[status(thm)],[])).
% 5.54/4.38 tff(21270,plain,
% 5.54/4.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s157, s158)) | until2p29(s158) | (~xuntil2p30(s157))),
% 5.54/4.38 inference(modus_ponens,[status(thm)],[21269, 21268])).
% 5.54/4.38 tff(21271,plain,
% 5.54/4.38 (until2p29(s158) | (~xuntil2p30(s157))),
% 5.54/4.38 inference(unit_resolution,[status(thm)],[21270, 12836, 20808])).
% 5.54/4.38 tff(21272,plain,
% 5.54/4.38 (~xuntil2p30(s157)),
% 5.54/4.38 inference(unit_resolution,[status(thm)],[21271, 21267])).
% 5.54/4.38 tff(21273,plain,
% 5.54/4.38 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s157) | xuntil2p30(s157) | (~until2p29(s157)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s157) | xuntil2p30(s157) | (~until2p29(s157)))),
% 5.54/4.38 inference(rewrite,[status(thm)],[])).
% 5.54/4.38 tff(21274,plain,
% 5.54/4.38 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s157) | xuntil2p30(s157) | (~until2p29(s157)))),
% 5.54/4.38 inference(quant_inst,[status(thm)],[])).
% 5.54/4.38 tff(21275,plain,
% 5.54/4.38 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s157) | xuntil2p30(s157) | (~until2p29(s157))),
% 5.54/4.38 inference(modus_ponens,[status(thm)],[21274, 21273])).
% 5.54/4.38 tff(21276,plain,
% 5.54/4.38 (xuntil2p30(s157) | (~until2p29(s157))),
% 5.54/4.38 inference(unit_resolution,[status(thm)],[21275, 20793, 16843])).
% 5.54/4.38 tff(21277,plain,
% 5.54/4.38 (~until2p29(s157)),
% 5.54/4.38 inference(unit_resolution,[status(thm)],[21276, 21272])).
% 5.54/4.38 tff(21278,plain,
% 5.54/4.38 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s156, s157)) | until2p29(s157) | (~xuntil2p30(s156)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s156, s157)) | until2p29(s157) | (~xuntil2p30(s156)))),
% 5.54/4.38 inference(rewrite,[status(thm)],[])).
% 5.54/4.38 tff(21279,plain,
% 5.54/4.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s156, s157)) | until2p29(s157) | (~xuntil2p30(s156)))),
% 5.54/4.38 inference(quant_inst,[status(thm)],[])).
% 5.54/4.38 tff(21280,plain,
% 5.54/4.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s156, s157)) | until2p29(s157) | (~xuntil2p30(s156))),
% 5.54/4.38 inference(modus_ponens,[status(thm)],[21279, 21278])).
% 5.54/4.38 tff(21281,plain,
% 5.54/4.38 (until2p29(s157) | (~xuntil2p30(s156))),
% 5.54/4.38 inference(unit_resolution,[status(thm)],[21280, 12741, 20808])).
% 5.54/4.38 tff(21282,plain,
% 5.54/4.38 (~xuntil2p30(s156)),
% 5.54/4.38 inference(unit_resolution,[status(thm)],[21281, 21277])).
% 5.54/4.38 tff(21283,plain,
% 5.54/4.38 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s156) | xuntil2p30(s156) | (~until2p29(s156)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s156) | xuntil2p30(s156) | (~until2p29(s156)))),
% 5.54/4.38 inference(rewrite,[status(thm)],[])).
% 5.54/4.38 tff(21284,plain,
% 5.54/4.38 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s156) | xuntil2p30(s156) | (~until2p29(s156)))),
% 5.54/4.38 inference(quant_inst,[status(thm)],[])).
% 5.54/4.38 tff(21285,plain,
% 5.54/4.38 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s156) | xuntil2p30(s156) | (~until2p29(s156))),
% 5.54/4.38 inference(modus_ponens,[status(thm)],[21284, 21283])).
% 5.54/4.38 tff(21286,plain,
% 5.54/4.38 (xuntil2p30(s156) | (~until2p29(s156))),
% 5.54/4.38 inference(unit_resolution,[status(thm)],[21285, 20793, 20113])).
% 5.54/4.38 tff(21287,plain,
% 5.54/4.38 (~until2p29(s156)),
% 5.54/4.38 inference(unit_resolution,[status(thm)],[21286, 21282])).
% 5.54/4.38 tff(21288,plain,
% 5.54/4.38 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s155, s156)) | until2p29(s156) | (~xuntil2p30(s155)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s155, s156)) | until2p29(s156) | (~xuntil2p30(s155)))),
% 5.54/4.38 inference(rewrite,[status(thm)],[])).
% 5.54/4.38 tff(21289,plain,
% 5.54/4.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s155, s156)) | until2p29(s156) | (~xuntil2p30(s155)))),
% 5.54/4.38 inference(quant_inst,[status(thm)],[])).
% 5.54/4.38 tff(21290,plain,
% 5.54/4.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s155, s156)) | until2p29(s156) | (~xuntil2p30(s155))),
% 5.54/4.38 inference(modus_ponens,[status(thm)],[21289, 21288])).
% 5.54/4.38 tff(21291,plain,
% 5.54/4.38 (until2p29(s156) | (~xuntil2p30(s155))),
% 5.54/4.38 inference(unit_resolution,[status(thm)],[21290, 12680, 20808])).
% 5.54/4.38 tff(21292,plain,
% 5.54/4.38 (~xuntil2p30(s155)),
% 5.54/4.38 inference(unit_resolution,[status(thm)],[21291, 21287])).
% 5.54/4.38 tff(21293,plain,
% 5.54/4.38 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s155) | xuntil2p30(s155) | (~until2p29(s155)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s155) | xuntil2p30(s155) | (~until2p29(s155)))),
% 5.54/4.38 inference(rewrite,[status(thm)],[])).
% 5.54/4.38 tff(21294,plain,
% 5.54/4.38 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s155) | xuntil2p30(s155) | (~until2p29(s155)))),
% 5.54/4.38 inference(quant_inst,[status(thm)],[])).
% 5.54/4.38 tff(21295,plain,
% 5.54/4.38 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s155) | xuntil2p30(s155) | (~until2p29(s155))),
% 5.54/4.38 inference(modus_ponens,[status(thm)],[21294, 21293])).
% 5.54/4.38 tff(21296,plain,
% 5.54/4.38 (xuntil2p30(s155) | (~until2p29(s155))),
% 5.54/4.38 inference(unit_resolution,[status(thm)],[21295, 20793, 16859])).
% 5.54/4.38 tff(21297,plain,
% 5.54/4.38 (~until2p29(s155)),
% 5.54/4.38 inference(unit_resolution,[status(thm)],[21296, 21292])).
% 5.54/4.38 tff(21298,plain,
% 5.54/4.38 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s154, s155)) | until2p29(s155) | (~xuntil2p30(s154)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s154, s155)) | until2p29(s155) | (~xuntil2p30(s154)))),
% 5.54/4.38 inference(rewrite,[status(thm)],[])).
% 5.54/4.38 tff(21299,plain,
% 5.54/4.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s154, s155)) | until2p29(s155) | (~xuntil2p30(s154)))),
% 5.54/4.38 inference(quant_inst,[status(thm)],[])).
% 5.54/4.38 tff(21300,plain,
% 5.54/4.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s154, s155)) | until2p29(s155) | (~xuntil2p30(s154))),
% 5.54/4.38 inference(modus_ponens,[status(thm)],[21299, 21298])).
% 5.54/4.38 tff(21301,plain,
% 5.54/4.38 (until2p29(s155) | (~xuntil2p30(s154))),
% 5.54/4.38 inference(unit_resolution,[status(thm)],[21300, 12602, 20808])).
% 5.54/4.38 tff(21302,plain,
% 5.54/4.38 (~xuntil2p30(s154)),
% 5.54/4.38 inference(unit_resolution,[status(thm)],[21301, 21297])).
% 5.54/4.38 tff(21303,plain,
% 5.54/4.38 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s154) | xuntil2p30(s154) | (~until2p29(s154)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s154) | xuntil2p30(s154) | (~until2p29(s154)))),
% 5.54/4.38 inference(rewrite,[status(thm)],[])).
% 5.54/4.38 tff(21304,plain,
% 5.54/4.38 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s154) | xuntil2p30(s154) | (~until2p29(s154)))),
% 5.54/4.38 inference(quant_inst,[status(thm)],[])).
% 5.54/4.38 tff(21305,plain,
% 5.54/4.38 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s154) | xuntil2p30(s154) | (~until2p29(s154))),
% 5.54/4.38 inference(modus_ponens,[status(thm)],[21304, 21303])).
% 5.54/4.38 tff(21306,plain,
% 5.54/4.38 (xuntil2p30(s154) | (~until2p29(s154))),
% 5.54/4.38 inference(unit_resolution,[status(thm)],[21305, 20793, 16868])).
% 5.54/4.38 tff(21307,plain,
% 5.54/4.38 (~until2p29(s154)),
% 5.54/4.38 inference(unit_resolution,[status(thm)],[21306, 21302])).
% 5.54/4.38 tff(21308,plain,
% 5.54/4.38 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s153, s154)) | until2p29(s154) | (~xuntil2p30(s153)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s153, s154)) | until2p29(s154) | (~xuntil2p30(s153)))),
% 5.54/4.38 inference(rewrite,[status(thm)],[])).
% 5.54/4.38 tff(21309,plain,
% 5.54/4.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s153, s154)) | until2p29(s154) | (~xuntil2p30(s153)))),
% 5.54/4.38 inference(quant_inst,[status(thm)],[])).
% 5.54/4.38 tff(21310,plain,
% 5.54/4.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s153, s154)) | until2p29(s154) | (~xuntil2p30(s153))),
% 5.54/4.38 inference(modus_ponens,[status(thm)],[21309, 21308])).
% 5.54/4.38 tff(21311,plain,
% 5.54/4.38 (until2p29(s154) | (~xuntil2p30(s153))),
% 5.54/4.38 inference(unit_resolution,[status(thm)],[21310, 12503, 20808])).
% 5.54/4.38 tff(21312,plain,
% 5.54/4.38 (~xuntil2p30(s153)),
% 5.54/4.38 inference(unit_resolution,[status(thm)],[21311, 21307])).
% 5.54/4.38 tff(21313,plain,
% 5.54/4.38 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s153) | xuntil2p30(s153) | (~until2p29(s153)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s153) | xuntil2p30(s153) | (~until2p29(s153)))),
% 5.54/4.38 inference(rewrite,[status(thm)],[])).
% 5.54/4.38 tff(21314,plain,
% 5.54/4.38 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s153) | xuntil2p30(s153) | (~until2p29(s153)))),
% 5.54/4.38 inference(quant_inst,[status(thm)],[])).
% 5.54/4.38 tff(21315,plain,
% 5.54/4.38 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s153) | xuntil2p30(s153) | (~until2p29(s153))),
% 5.54/4.38 inference(modus_ponens,[status(thm)],[21314, 21313])).
% 5.54/4.38 tff(21316,plain,
% 5.54/4.38 (xuntil2p30(s153) | (~until2p29(s153))),
% 5.54/4.38 inference(unit_resolution,[status(thm)],[21315, 20793, 16872])).
% 5.54/4.38 tff(21317,plain,
% 5.54/4.38 (~until2p29(s153)),
% 5.54/4.38 inference(unit_resolution,[status(thm)],[21316, 21312])).
% 5.54/4.38 tff(21318,plain,
% 5.54/4.38 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s152, s153)) | until2p29(s153) | (~xuntil2p30(s152)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s152, s153)) | until2p29(s153) | (~xuntil2p30(s152)))),
% 5.54/4.38 inference(rewrite,[status(thm)],[])).
% 5.54/4.38 tff(21319,plain,
% 5.54/4.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s152, s153)) | until2p29(s153) | (~xuntil2p30(s152)))),
% 5.54/4.38 inference(quant_inst,[status(thm)],[])).
% 5.54/4.38 tff(21320,plain,
% 5.54/4.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s152, s153)) | until2p29(s153) | (~xuntil2p30(s152))),
% 5.54/4.38 inference(modus_ponens,[status(thm)],[21319, 21318])).
% 5.54/4.38 tff(21321,plain,
% 5.54/4.38 (until2p29(s153) | (~xuntil2p30(s152))),
% 5.54/4.38 inference(unit_resolution,[status(thm)],[21320, 12436, 20808])).
% 5.54/4.38 tff(21322,plain,
% 5.54/4.38 (~xuntil2p30(s152)),
% 5.54/4.38 inference(unit_resolution,[status(thm)],[21321, 21317])).
% 5.54/4.38 tff(21323,plain,
% 5.54/4.38 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s152) | xuntil2p30(s152) | (~until2p29(s152)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s152) | xuntil2p30(s152) | (~until2p29(s152)))),
% 5.54/4.38 inference(rewrite,[status(thm)],[])).
% 5.54/4.38 tff(21324,plain,
% 5.54/4.38 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s152) | xuntil2p30(s152) | (~until2p29(s152)))),
% 5.54/4.38 inference(quant_inst,[status(thm)],[])).
% 5.54/4.38 tff(21325,plain,
% 5.54/4.38 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s152) | xuntil2p30(s152) | (~until2p29(s152))),
% 5.54/4.38 inference(modus_ponens,[status(thm)],[21324, 21323])).
% 5.54/4.38 tff(21326,plain,
% 5.54/4.38 (xuntil2p30(s152) | (~until2p29(s152))),
% 5.54/4.38 inference(unit_resolution,[status(thm)],[21325, 20793, 20059])).
% 5.54/4.38 tff(21327,plain,
% 5.54/4.38 (~until2p29(s152)),
% 5.54/4.38 inference(unit_resolution,[status(thm)],[21326, 21322])).
% 5.54/4.38 tff(21328,plain,
% 5.54/4.38 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s151, s152)) | until2p29(s152) | (~xuntil2p30(s151)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s151, s152)) | until2p29(s152) | (~xuntil2p30(s151)))),
% 5.54/4.38 inference(rewrite,[status(thm)],[])).
% 5.54/4.38 tff(21329,plain,
% 5.54/4.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s151, s152)) | until2p29(s152) | (~xuntil2p30(s151)))),
% 5.54/4.38 inference(quant_inst,[status(thm)],[])).
% 5.54/4.38 tff(21330,plain,
% 5.54/4.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s151, s152)) | until2p29(s152) | (~xuntil2p30(s151))),
% 5.54/4.38 inference(modus_ponens,[status(thm)],[21329, 21328])).
% 5.54/4.38 tff(21331,plain,
% 5.54/4.38 (until2p29(s152) | (~xuntil2p30(s151))),
% 5.54/4.38 inference(unit_resolution,[status(thm)],[21330, 12347, 20808])).
% 5.54/4.38 tff(21332,plain,
% 5.54/4.38 (~xuntil2p30(s151)),
% 5.54/4.38 inference(unit_resolution,[status(thm)],[21331, 21327])).
% 5.54/4.38 tff(21333,plain,
% 5.54/4.38 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s151) | xuntil2p30(s151) | (~until2p29(s151)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s151) | xuntil2p30(s151) | (~until2p29(s151)))),
% 5.54/4.38 inference(rewrite,[status(thm)],[])).
% 5.54/4.38 tff(21334,plain,
% 5.54/4.38 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s151) | xuntil2p30(s151) | (~until2p29(s151)))),
% 5.54/4.38 inference(quant_inst,[status(thm)],[])).
% 5.54/4.38 tff(21335,plain,
% 5.54/4.38 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s151) | xuntil2p30(s151) | (~until2p29(s151))),
% 5.54/4.38 inference(modus_ponens,[status(thm)],[21334, 21333])).
% 5.54/4.38 tff(21336,plain,
% 5.54/4.38 (xuntil2p30(s151) | (~until2p29(s151))),
% 5.54/4.38 inference(unit_resolution,[status(thm)],[21335, 20793, 16888])).
% 5.54/4.38 tff(21337,plain,
% 5.54/4.38 (~until2p29(s151)),
% 5.54/4.38 inference(unit_resolution,[status(thm)],[21336, 21332])).
% 5.54/4.38 tff(21338,plain,
% 5.54/4.38 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s150, s151)) | until2p29(s151) | (~xuntil2p30(s150)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s150, s151)) | until2p29(s151) | (~xuntil2p30(s150)))),
% 5.54/4.38 inference(rewrite,[status(thm)],[])).
% 5.54/4.38 tff(21339,plain,
% 5.54/4.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s150, s151)) | until2p29(s151) | (~xuntil2p30(s150)))),
% 5.54/4.38 inference(quant_inst,[status(thm)],[])).
% 5.54/4.38 tff(21340,plain,
% 5.54/4.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s150, s151)) | until2p29(s151) | (~xuntil2p30(s150))),
% 5.54/4.38 inference(modus_ponens,[status(thm)],[21339, 21338])).
% 5.54/4.38 tff(21341,plain,
% 5.54/4.38 (until2p29(s151) | (~xuntil2p30(s150))),
% 5.54/4.38 inference(unit_resolution,[status(thm)],[21340, 12272, 20808])).
% 5.54/4.38 tff(21342,plain,
% 5.54/4.38 (~xuntil2p30(s150)),
% 5.54/4.38 inference(unit_resolution,[status(thm)],[21341, 21337])).
% 5.54/4.38 tff(21343,plain,
% 5.54/4.38 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s150) | xuntil2p30(s150) | (~until2p29(s150)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s150) | xuntil2p30(s150) | (~until2p29(s150)))),
% 5.54/4.38 inference(rewrite,[status(thm)],[])).
% 5.54/4.38 tff(21344,plain,
% 5.54/4.38 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s150) | xuntil2p30(s150) | (~until2p29(s150)))),
% 5.54/4.38 inference(quant_inst,[status(thm)],[])).
% 5.54/4.38 tff(21345,plain,
% 5.54/4.38 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s150) | xuntil2p30(s150) | (~until2p29(s150))),
% 5.54/4.38 inference(modus_ponens,[status(thm)],[21344, 21343])).
% 5.54/4.38 tff(21346,plain,
% 5.54/4.38 (xuntil2p30(s150) | (~until2p29(s150))),
% 5.54/4.38 inference(unit_resolution,[status(thm)],[21345, 20793, 16897])).
% 5.54/4.38 tff(21347,plain,
% 5.54/4.38 (~until2p29(s150)),
% 5.54/4.38 inference(unit_resolution,[status(thm)],[21346, 21342])).
% 5.54/4.38 tff(21348,plain,
% 5.54/4.38 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s149, s150)) | until2p29(s150) | (~xuntil2p30(s149)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s149, s150)) | until2p29(s150) | (~xuntil2p30(s149)))),
% 5.54/4.38 inference(rewrite,[status(thm)],[])).
% 5.54/4.38 tff(21349,plain,
% 5.54/4.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s149, s150)) | until2p29(s150) | (~xuntil2p30(s149)))),
% 5.54/4.38 inference(quant_inst,[status(thm)],[])).
% 5.54/4.38 tff(21350,plain,
% 5.54/4.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s149, s150)) | until2p29(s150) | (~xuntil2p30(s149))),
% 5.54/4.38 inference(modus_ponens,[status(thm)],[21349, 21348])).
% 5.54/4.38 tff(21351,plain,
% 5.54/4.38 (until2p29(s150) | (~xuntil2p30(s149))),
% 5.54/4.38 inference(unit_resolution,[status(thm)],[21350, 12208, 20808])).
% 5.54/4.38 tff(21352,plain,
% 5.54/4.38 (~xuntil2p30(s149)),
% 5.54/4.38 inference(unit_resolution,[status(thm)],[21351, 21347])).
% 5.54/4.38 tff(21353,plain,
% 5.54/4.38 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s149) | xuntil2p30(s149) | (~until2p29(s149)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s149) | xuntil2p30(s149) | (~until2p29(s149)))),
% 5.54/4.38 inference(rewrite,[status(thm)],[])).
% 5.54/4.38 tff(21354,plain,
% 5.54/4.38 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s149) | xuntil2p30(s149) | (~until2p29(s149)))),
% 5.54/4.38 inference(quant_inst,[status(thm)],[])).
% 5.54/4.38 tff(21355,plain,
% 5.54/4.38 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s149) | xuntil2p30(s149) | (~until2p29(s149))),
% 5.54/4.38 inference(modus_ponens,[status(thm)],[21354, 21353])).
% 5.54/4.38 tff(21356,plain,
% 5.54/4.38 (xuntil2p30(s149) | (~until2p29(s149))),
% 5.54/4.38 inference(unit_resolution,[status(thm)],[21355, 20793, 16901])).
% 5.54/4.38 tff(21357,plain,
% 5.54/4.38 (~until2p29(s149)),
% 5.54/4.38 inference(unit_resolution,[status(thm)],[21356, 21352])).
% 5.54/4.38 tff(21358,plain,
% 5.54/4.38 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s148, s149)) | until2p29(s149) | (~xuntil2p30(s148)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s148, s149)) | until2p29(s149) | (~xuntil2p30(s148)))),
% 5.54/4.38 inference(rewrite,[status(thm)],[])).
% 5.54/4.38 tff(21359,plain,
% 5.54/4.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s148, s149)) | until2p29(s149) | (~xuntil2p30(s148)))),
% 5.54/4.38 inference(quant_inst,[status(thm)],[])).
% 5.54/4.38 tff(21360,plain,
% 5.54/4.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s148, s149)) | until2p29(s149) | (~xuntil2p30(s148))),
% 5.54/4.38 inference(modus_ponens,[status(thm)],[21359, 21358])).
% 5.54/4.38 tff(21361,plain,
% 5.54/4.38 (until2p29(s149) | (~xuntil2p30(s148))),
% 5.54/4.38 inference(unit_resolution,[status(thm)],[21360, 12113, 20808])).
% 5.54/4.38 tff(21362,plain,
% 5.54/4.38 (~xuntil2p30(s148)),
% 5.54/4.38 inference(unit_resolution,[status(thm)],[21361, 21357])).
% 5.54/4.38 tff(21363,plain,
% 5.54/4.38 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s148) | xuntil2p30(s148) | (~until2p29(s148)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s148) | xuntil2p30(s148) | (~until2p29(s148)))),
% 5.54/4.38 inference(rewrite,[status(thm)],[])).
% 5.54/4.38 tff(21364,plain,
% 5.54/4.38 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s148) | xuntil2p30(s148) | (~until2p29(s148)))),
% 5.54/4.38 inference(quant_inst,[status(thm)],[])).
% 5.54/4.38 tff(21365,plain,
% 5.54/4.38 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s148) | xuntil2p30(s148) | (~until2p29(s148))),
% 5.54/4.38 inference(modus_ponens,[status(thm)],[21364, 21363])).
% 5.54/4.38 tff(21366,plain,
% 5.54/4.38 (xuntil2p30(s148) | (~until2p29(s148))),
% 5.54/4.38 inference(unit_resolution,[status(thm)],[21365, 20793, 20005])).
% 5.54/4.38 tff(21367,plain,
% 5.54/4.38 (~until2p29(s148)),
% 5.54/4.38 inference(unit_resolution,[status(thm)],[21366, 21362])).
% 5.54/4.38 tff(21368,plain,
% 5.54/4.38 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s147, s148)) | until2p29(s148) | (~xuntil2p30(s147)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s147, s148)) | until2p29(s148) | (~xuntil2p30(s147)))),
% 5.54/4.38 inference(rewrite,[status(thm)],[])).
% 5.54/4.38 tff(21369,plain,
% 5.54/4.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s147, s148)) | until2p29(s148) | (~xuntil2p30(s147)))),
% 5.54/4.38 inference(quant_inst,[status(thm)],[])).
% 5.54/4.38 tff(21370,plain,
% 5.54/4.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s147, s148)) | until2p29(s148) | (~xuntil2p30(s147))),
% 5.54/4.38 inference(modus_ponens,[status(thm)],[21369, 21368])).
% 5.54/4.38 tff(21371,plain,
% 5.54/4.38 (until2p29(s148) | (~xuntil2p30(s147))),
% 5.54/4.38 inference(unit_resolution,[status(thm)],[21370, 12052, 20808])).
% 5.54/4.38 tff(21372,plain,
% 5.54/4.38 (~xuntil2p30(s147)),
% 5.54/4.38 inference(unit_resolution,[status(thm)],[21371, 21367])).
% 5.54/4.38 tff(21373,plain,
% 5.54/4.38 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s147) | xuntil2p30(s147) | (~until2p29(s147)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s147) | xuntil2p30(s147) | (~until2p29(s147)))),
% 5.54/4.38 inference(rewrite,[status(thm)],[])).
% 5.54/4.38 tff(21374,plain,
% 5.54/4.38 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s147) | xuntil2p30(s147) | (~until2p29(s147)))),
% 5.54/4.38 inference(quant_inst,[status(thm)],[])).
% 5.54/4.38 tff(21375,plain,
% 5.54/4.38 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s147) | xuntil2p30(s147) | (~until2p29(s147))),
% 5.54/4.38 inference(modus_ponens,[status(thm)],[21374, 21373])).
% 5.54/4.38 tff(21376,plain,
% 5.54/4.38 (xuntil2p30(s147) | (~until2p29(s147))),
% 5.54/4.38 inference(unit_resolution,[status(thm)],[21375, 20793, 16917])).
% 5.54/4.38 tff(21377,plain,
% 5.54/4.38 (~until2p29(s147)),
% 5.54/4.38 inference(unit_resolution,[status(thm)],[21376, 21372])).
% 5.54/4.38 tff(21378,plain,
% 5.54/4.38 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s146, s147)) | until2p29(s147) | (~xuntil2p30(s146)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s146, s147)) | until2p29(s147) | (~xuntil2p30(s146)))),
% 5.54/4.38 inference(rewrite,[status(thm)],[])).
% 5.54/4.38 tff(21379,plain,
% 5.54/4.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s146, s147)) | until2p29(s147) | (~xuntil2p30(s146)))),
% 5.54/4.38 inference(quant_inst,[status(thm)],[])).
% 5.54/4.38 tff(21380,plain,
% 5.54/4.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s146, s147)) | until2p29(s147) | (~xuntil2p30(s146))),
% 5.54/4.38 inference(modus_ponens,[status(thm)],[21379, 21378])).
% 5.54/4.38 tff(21381,plain,
% 5.54/4.38 (until2p29(s147) | (~xuntil2p30(s146))),
% 5.54/4.38 inference(unit_resolution,[status(thm)],[21380, 11974, 20808])).
% 5.54/4.38 tff(21382,plain,
% 5.54/4.38 (~xuntil2p30(s146)),
% 5.54/4.38 inference(unit_resolution,[status(thm)],[21381, 21377])).
% 5.54/4.38 tff(21383,plain,
% 5.54/4.38 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s146) | xuntil2p30(s146) | (~until2p29(s146)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s146) | xuntil2p30(s146) | (~until2p29(s146)))),
% 5.54/4.38 inference(rewrite,[status(thm)],[])).
% 5.54/4.38 tff(21384,plain,
% 5.54/4.38 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s146) | xuntil2p30(s146) | (~until2p29(s146)))),
% 5.54/4.38 inference(quant_inst,[status(thm)],[])).
% 5.54/4.38 tff(21385,plain,
% 5.54/4.38 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s146) | xuntil2p30(s146) | (~until2p29(s146))),
% 5.54/4.38 inference(modus_ponens,[status(thm)],[21384, 21383])).
% 5.54/4.38 tff(21386,plain,
% 5.54/4.38 (xuntil2p30(s146) | (~until2p29(s146))),
% 5.54/4.38 inference(unit_resolution,[status(thm)],[21385, 20793, 16926])).
% 5.54/4.38 tff(21387,plain,
% 5.54/4.38 (~until2p29(s146)),
% 5.54/4.38 inference(unit_resolution,[status(thm)],[21386, 21382])).
% 5.54/4.38 tff(21388,plain,
% 5.54/4.38 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s145, s146)) | until2p29(s146) | (~xuntil2p30(s145)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s145, s146)) | until2p29(s146) | (~xuntil2p30(s145)))),
% 5.54/4.38 inference(rewrite,[status(thm)],[])).
% 5.54/4.38 tff(21389,plain,
% 5.54/4.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s145, s146)) | until2p29(s146) | (~xuntil2p30(s145)))),
% 5.54/4.38 inference(quant_inst,[status(thm)],[])).
% 5.54/4.38 tff(21390,plain,
% 5.54/4.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s145, s146)) | until2p29(s146) | (~xuntil2p30(s145))),
% 5.54/4.38 inference(modus_ponens,[status(thm)],[21389, 21388])).
% 5.54/4.38 tff(21391,plain,
% 5.54/4.38 (until2p29(s146) | (~xuntil2p30(s145))),
% 5.54/4.38 inference(unit_resolution,[status(thm)],[21390, 11875, 20808])).
% 5.54/4.38 tff(21392,plain,
% 5.54/4.38 (~xuntil2p30(s145)),
% 5.54/4.38 inference(unit_resolution,[status(thm)],[21391, 21387])).
% 5.54/4.38 tff(21393,plain,
% 5.54/4.38 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s145) | xuntil2p30(s145) | (~until2p29(s145)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s145) | xuntil2p30(s145) | (~until2p29(s145)))),
% 5.54/4.38 inference(rewrite,[status(thm)],[])).
% 5.54/4.38 tff(21394,plain,
% 5.54/4.38 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s145) | xuntil2p30(s145) | (~until2p29(s145)))),
% 5.54/4.38 inference(quant_inst,[status(thm)],[])).
% 5.54/4.38 tff(21395,plain,
% 5.54/4.38 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s145) | xuntil2p30(s145) | (~until2p29(s145))),
% 5.54/4.38 inference(modus_ponens,[status(thm)],[21394, 21393])).
% 5.54/4.38 tff(21396,plain,
% 5.54/4.38 (xuntil2p30(s145) | (~until2p29(s145))),
% 5.54/4.38 inference(unit_resolution,[status(thm)],[21395, 20793, 16930])).
% 5.54/4.38 tff(21397,plain,
% 5.54/4.38 (~until2p29(s145)),
% 5.54/4.38 inference(unit_resolution,[status(thm)],[21396, 21392])).
% 5.54/4.38 tff(21398,plain,
% 5.54/4.38 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s144, s145)) | until2p29(s145) | (~xuntil2p30(s144)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s144, s145)) | until2p29(s145) | (~xuntil2p30(s144)))),
% 5.54/4.38 inference(rewrite,[status(thm)],[])).
% 5.54/4.38 tff(21399,plain,
% 5.54/4.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s144, s145)) | until2p29(s145) | (~xuntil2p30(s144)))),
% 5.54/4.38 inference(quant_inst,[status(thm)],[])).
% 5.54/4.38 tff(21400,plain,
% 5.54/4.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s144, s145)) | until2p29(s145) | (~xuntil2p30(s144))),
% 5.54/4.38 inference(modus_ponens,[status(thm)],[21399, 21398])).
% 5.54/4.38 tff(21401,plain,
% 5.54/4.38 (until2p29(s145) | (~xuntil2p30(s144))),
% 5.54/4.38 inference(unit_resolution,[status(thm)],[21400, 11808, 20808])).
% 5.54/4.38 tff(21402,plain,
% 5.54/4.38 (~xuntil2p30(s144)),
% 5.54/4.38 inference(unit_resolution,[status(thm)],[21401, 21397])).
% 5.54/4.38 tff(21403,plain,
% 5.54/4.38 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s144) | xuntil2p30(s144) | (~until2p29(s144)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s144) | xuntil2p30(s144) | (~until2p29(s144)))),
% 5.54/4.38 inference(rewrite,[status(thm)],[])).
% 5.54/4.38 tff(21404,plain,
% 5.54/4.38 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s144) | xuntil2p30(s144) | (~until2p29(s144)))),
% 5.54/4.38 inference(quant_inst,[status(thm)],[])).
% 5.54/4.38 tff(21405,plain,
% 5.54/4.38 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s144) | xuntil2p30(s144) | (~until2p29(s144))),
% 5.54/4.39 inference(modus_ponens,[status(thm)],[21404, 21403])).
% 5.54/4.39 tff(21406,plain,
% 5.54/4.39 (xuntil2p30(s144) | (~until2p29(s144))),
% 5.54/4.39 inference(unit_resolution,[status(thm)],[21405, 20793, 19951])).
% 5.54/4.39 tff(21407,plain,
% 5.54/4.39 (~until2p29(s144)),
% 5.54/4.39 inference(unit_resolution,[status(thm)],[21406, 21402])).
% 5.54/4.39 tff(21408,plain,
% 5.54/4.39 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s143, s144)) | until2p29(s144) | (~xuntil2p30(s143)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s143, s144)) | until2p29(s144) | (~xuntil2p30(s143)))),
% 5.54/4.39 inference(rewrite,[status(thm)],[])).
% 5.54/4.39 tff(21409,plain,
% 5.54/4.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s143, s144)) | until2p29(s144) | (~xuntil2p30(s143)))),
% 5.54/4.39 inference(quant_inst,[status(thm)],[])).
% 5.54/4.39 tff(21410,plain,
% 5.54/4.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s143, s144)) | until2p29(s144) | (~xuntil2p30(s143))),
% 5.54/4.39 inference(modus_ponens,[status(thm)],[21409, 21408])).
% 5.54/4.39 tff(21411,plain,
% 5.54/4.39 (until2p29(s144) | (~xuntil2p30(s143))),
% 5.54/4.39 inference(unit_resolution,[status(thm)],[21410, 11719, 20808])).
% 5.54/4.39 tff(21412,plain,
% 5.54/4.39 (~xuntil2p30(s143)),
% 5.54/4.39 inference(unit_resolution,[status(thm)],[21411, 21407])).
% 5.54/4.39 tff(21413,plain,
% 5.54/4.39 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s143) | xuntil2p30(s143) | (~until2p29(s143)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s143) | xuntil2p30(s143) | (~until2p29(s143)))),
% 5.54/4.39 inference(rewrite,[status(thm)],[])).
% 5.54/4.39 tff(21414,plain,
% 5.54/4.39 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s143) | xuntil2p30(s143) | (~until2p29(s143)))),
% 5.54/4.39 inference(quant_inst,[status(thm)],[])).
% 5.54/4.39 tff(21415,plain,
% 5.54/4.39 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s143) | xuntil2p30(s143) | (~until2p29(s143))),
% 5.54/4.39 inference(modus_ponens,[status(thm)],[21414, 21413])).
% 5.54/4.39 tff(21416,plain,
% 5.54/4.39 (xuntil2p30(s143) | (~until2p29(s143))),
% 5.54/4.39 inference(unit_resolution,[status(thm)],[21415, 20793, 16946])).
% 5.54/4.39 tff(21417,plain,
% 5.54/4.39 (~until2p29(s143)),
% 5.54/4.39 inference(unit_resolution,[status(thm)],[21416, 21412])).
% 5.54/4.39 tff(21418,plain,
% 5.54/4.39 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s142, s143)) | until2p29(s143) | (~xuntil2p30(s142)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s142, s143)) | until2p29(s143) | (~xuntil2p30(s142)))),
% 5.54/4.39 inference(rewrite,[status(thm)],[])).
% 5.54/4.39 tff(21419,plain,
% 5.54/4.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s142, s143)) | until2p29(s143) | (~xuntil2p30(s142)))),
% 5.54/4.39 inference(quant_inst,[status(thm)],[])).
% 5.54/4.39 tff(21420,plain,
% 5.54/4.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s142, s143)) | until2p29(s143) | (~xuntil2p30(s142))),
% 5.54/4.39 inference(modus_ponens,[status(thm)],[21419, 21418])).
% 5.54/4.39 tff(21421,plain,
% 5.54/4.39 (until2p29(s143) | (~xuntil2p30(s142))),
% 5.54/4.39 inference(unit_resolution,[status(thm)],[21420, 11644, 20808])).
% 5.54/4.39 tff(21422,plain,
% 5.54/4.39 (~xuntil2p30(s142)),
% 5.54/4.39 inference(unit_resolution,[status(thm)],[21421, 21417])).
% 5.54/4.39 tff(21423,plain,
% 5.54/4.39 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s142) | xuntil2p30(s142) | (~until2p29(s142)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s142) | xuntil2p30(s142) | (~until2p29(s142)))),
% 5.54/4.39 inference(rewrite,[status(thm)],[])).
% 5.54/4.39 tff(21424,plain,
% 5.54/4.39 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s142) | xuntil2p30(s142) | (~until2p29(s142)))),
% 5.54/4.39 inference(quant_inst,[status(thm)],[])).
% 5.54/4.39 tff(21425,plain,
% 5.54/4.39 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s142) | xuntil2p30(s142) | (~until2p29(s142))),
% 5.54/4.39 inference(modus_ponens,[status(thm)],[21424, 21423])).
% 5.54/4.39 tff(21426,plain,
% 5.54/4.39 (xuntil2p30(s142) | (~until2p29(s142))),
% 5.54/4.39 inference(unit_resolution,[status(thm)],[21425, 20793, 16955])).
% 5.54/4.39 tff(21427,plain,
% 5.54/4.39 (~until2p29(s142)),
% 5.54/4.39 inference(unit_resolution,[status(thm)],[21426, 21422])).
% 5.54/4.39 tff(21428,plain,
% 5.54/4.39 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s141, s142)) | until2p29(s142) | (~xuntil2p30(s141)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s141, s142)) | until2p29(s142) | (~xuntil2p30(s141)))),
% 5.54/4.39 inference(rewrite,[status(thm)],[])).
% 5.54/4.39 tff(21429,plain,
% 5.54/4.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s141, s142)) | until2p29(s142) | (~xuntil2p30(s141)))),
% 5.54/4.39 inference(quant_inst,[status(thm)],[])).
% 5.54/4.39 tff(21430,plain,
% 5.54/4.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s141, s142)) | until2p29(s142) | (~xuntil2p30(s141))),
% 5.54/4.39 inference(modus_ponens,[status(thm)],[21429, 21428])).
% 5.54/4.39 tff(21431,plain,
% 5.54/4.39 (until2p29(s142) | (~xuntil2p30(s141))),
% 5.54/4.39 inference(unit_resolution,[status(thm)],[21430, 11580, 20808])).
% 5.54/4.39 tff(21432,plain,
% 5.54/4.39 (~xuntil2p30(s141)),
% 5.54/4.39 inference(unit_resolution,[status(thm)],[21431, 21427])).
% 5.54/4.39 tff(21433,plain,
% 5.54/4.39 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s141) | xuntil2p30(s141) | (~until2p29(s141)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s141) | xuntil2p30(s141) | (~until2p29(s141)))),
% 5.54/4.39 inference(rewrite,[status(thm)],[])).
% 5.54/4.39 tff(21434,plain,
% 5.54/4.39 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s141) | xuntil2p30(s141) | (~until2p29(s141)))),
% 5.54/4.39 inference(quant_inst,[status(thm)],[])).
% 5.54/4.39 tff(21435,plain,
% 5.54/4.39 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s141) | xuntil2p30(s141) | (~until2p29(s141))),
% 5.54/4.39 inference(modus_ponens,[status(thm)],[21434, 21433])).
% 5.54/4.39 tff(21436,plain,
% 5.54/4.39 (xuntil2p30(s141) | (~until2p29(s141))),
% 5.54/4.39 inference(unit_resolution,[status(thm)],[21435, 20793, 16959])).
% 5.54/4.39 tff(21437,plain,
% 5.54/4.39 (~until2p29(s141)),
% 5.54/4.39 inference(unit_resolution,[status(thm)],[21436, 21432])).
% 5.54/4.39 tff(21438,plain,
% 5.54/4.39 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s140, s141)) | until2p29(s141) | (~xuntil2p30(s140)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s140, s141)) | until2p29(s141) | (~xuntil2p30(s140)))),
% 5.54/4.39 inference(rewrite,[status(thm)],[])).
% 5.54/4.39 tff(21439,plain,
% 5.54/4.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s140, s141)) | until2p29(s141) | (~xuntil2p30(s140)))),
% 5.54/4.39 inference(quant_inst,[status(thm)],[])).
% 5.54/4.39 tff(21440,plain,
% 5.54/4.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s140, s141)) | until2p29(s141) | (~xuntil2p30(s140))),
% 5.54/4.39 inference(modus_ponens,[status(thm)],[21439, 21438])).
% 5.54/4.39 tff(21441,plain,
% 5.54/4.39 (until2p29(s141) | (~xuntil2p30(s140))),
% 5.54/4.39 inference(unit_resolution,[status(thm)],[21440, 11485, 20808])).
% 5.54/4.39 tff(21442,plain,
% 5.54/4.39 (~xuntil2p30(s140)),
% 5.54/4.39 inference(unit_resolution,[status(thm)],[21441, 21437])).
% 5.54/4.39 tff(21443,plain,
% 5.54/4.39 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s140) | xuntil2p30(s140) | (~until2p29(s140)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s140) | xuntil2p30(s140) | (~until2p29(s140)))),
% 5.54/4.39 inference(rewrite,[status(thm)],[])).
% 5.54/4.39 tff(21444,plain,
% 5.54/4.39 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s140) | xuntil2p30(s140) | (~until2p29(s140)))),
% 5.54/4.39 inference(quant_inst,[status(thm)],[])).
% 5.54/4.39 tff(21445,plain,
% 5.54/4.39 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s140) | xuntil2p30(s140) | (~until2p29(s140))),
% 5.54/4.39 inference(modus_ponens,[status(thm)],[21444, 21443])).
% 5.54/4.39 tff(21446,plain,
% 5.54/4.39 (xuntil2p30(s140) | (~until2p29(s140))),
% 5.54/4.39 inference(unit_resolution,[status(thm)],[21445, 20793, 19897])).
% 5.54/4.39 tff(21447,plain,
% 5.54/4.39 (~until2p29(s140)),
% 5.54/4.39 inference(unit_resolution,[status(thm)],[21446, 21442])).
% 5.54/4.39 tff(21448,plain,
% 5.54/4.39 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s139, s140)) | until2p29(s140) | (~xuntil2p30(s139)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s139, s140)) | until2p29(s140) | (~xuntil2p30(s139)))),
% 5.54/4.39 inference(rewrite,[status(thm)],[])).
% 5.54/4.39 tff(21449,plain,
% 5.54/4.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s139, s140)) | until2p29(s140) | (~xuntil2p30(s139)))),
% 5.54/4.39 inference(quant_inst,[status(thm)],[])).
% 5.54/4.39 tff(21450,plain,
% 5.54/4.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s139, s140)) | until2p29(s140) | (~xuntil2p30(s139))),
% 5.54/4.39 inference(modus_ponens,[status(thm)],[21449, 21448])).
% 5.54/4.39 tff(21451,plain,
% 5.54/4.39 (until2p29(s140) | (~xuntil2p30(s139))),
% 5.54/4.39 inference(unit_resolution,[status(thm)],[21450, 11424, 20808])).
% 5.54/4.39 tff(21452,plain,
% 5.54/4.39 (~xuntil2p30(s139)),
% 5.54/4.39 inference(unit_resolution,[status(thm)],[21451, 21447])).
% 5.54/4.39 tff(21453,plain,
% 5.54/4.39 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s139) | xuntil2p30(s139) | (~until2p29(s139)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s139) | xuntil2p30(s139) | (~until2p29(s139)))),
% 5.54/4.39 inference(rewrite,[status(thm)],[])).
% 5.54/4.39 tff(21454,plain,
% 5.54/4.39 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s139) | xuntil2p30(s139) | (~until2p29(s139)))),
% 5.54/4.39 inference(quant_inst,[status(thm)],[])).
% 5.54/4.39 tff(21455,plain,
% 5.54/4.39 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s139) | xuntil2p30(s139) | (~until2p29(s139))),
% 5.54/4.39 inference(modus_ponens,[status(thm)],[21454, 21453])).
% 5.54/4.39 tff(21456,plain,
% 5.54/4.39 (xuntil2p30(s139) | (~until2p29(s139))),
% 5.54/4.39 inference(unit_resolution,[status(thm)],[21455, 20793, 16975])).
% 5.54/4.39 tff(21457,plain,
% 5.54/4.39 (~until2p29(s139)),
% 5.54/4.39 inference(unit_resolution,[status(thm)],[21456, 21452])).
% 5.54/4.39 tff(21458,plain,
% 5.54/4.39 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s138, s139)) | until2p29(s139) | (~xuntil2p30(s138)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s138, s139)) | until2p29(s139) | (~xuntil2p30(s138)))),
% 5.54/4.39 inference(rewrite,[status(thm)],[])).
% 5.54/4.39 tff(21459,plain,
% 5.54/4.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s138, s139)) | until2p29(s139) | (~xuntil2p30(s138)))),
% 5.54/4.39 inference(quant_inst,[status(thm)],[])).
% 5.54/4.39 tff(21460,plain,
% 5.54/4.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s138, s139)) | until2p29(s139) | (~xuntil2p30(s138))),
% 5.54/4.39 inference(modus_ponens,[status(thm)],[21459, 21458])).
% 5.54/4.39 tff(21461,plain,
% 5.54/4.39 (until2p29(s139) | (~xuntil2p30(s138))),
% 5.54/4.39 inference(unit_resolution,[status(thm)],[21460, 11346, 20808])).
% 5.54/4.39 tff(21462,plain,
% 5.54/4.39 (~xuntil2p30(s138)),
% 5.54/4.39 inference(unit_resolution,[status(thm)],[21461, 21457])).
% 5.54/4.39 tff(21463,plain,
% 5.54/4.39 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s138) | xuntil2p30(s138) | (~until2p29(s138)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s138) | xuntil2p30(s138) | (~until2p29(s138)))),
% 5.54/4.39 inference(rewrite,[status(thm)],[])).
% 5.54/4.39 tff(21464,plain,
% 5.54/4.39 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s138) | xuntil2p30(s138) | (~until2p29(s138)))),
% 5.54/4.39 inference(quant_inst,[status(thm)],[])).
% 5.54/4.39 tff(21465,plain,
% 5.54/4.39 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s138) | xuntil2p30(s138) | (~until2p29(s138))),
% 5.54/4.39 inference(modus_ponens,[status(thm)],[21464, 21463])).
% 5.54/4.39 tff(21466,plain,
% 5.54/4.39 (xuntil2p30(s138) | (~until2p29(s138))),
% 5.54/4.39 inference(unit_resolution,[status(thm)],[21465, 20793, 16984])).
% 5.54/4.39 tff(21467,plain,
% 5.54/4.39 (~until2p29(s138)),
% 5.54/4.39 inference(unit_resolution,[status(thm)],[21466, 21462])).
% 5.54/4.39 tff(21468,plain,
% 5.54/4.39 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s137, s138)) | until2p29(s138) | (~xuntil2p30(s137)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s137, s138)) | until2p29(s138) | (~xuntil2p30(s137)))),
% 5.54/4.39 inference(rewrite,[status(thm)],[])).
% 5.54/4.39 tff(21469,plain,
% 5.54/4.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s137, s138)) | until2p29(s138) | (~xuntil2p30(s137)))),
% 5.54/4.39 inference(quant_inst,[status(thm)],[])).
% 5.54/4.39 tff(21470,plain,
% 5.54/4.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s137, s138)) | until2p29(s138) | (~xuntil2p30(s137))),
% 5.54/4.39 inference(modus_ponens,[status(thm)],[21469, 21468])).
% 5.54/4.39 tff(21471,plain,
% 5.54/4.39 (until2p29(s138) | (~xuntil2p30(s137))),
% 5.54/4.39 inference(unit_resolution,[status(thm)],[21470, 11247, 20808])).
% 5.54/4.39 tff(21472,plain,
% 5.54/4.39 (~xuntil2p30(s137)),
% 5.54/4.39 inference(unit_resolution,[status(thm)],[21471, 21467])).
% 5.54/4.39 tff(21473,plain,
% 5.54/4.39 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s137) | xuntil2p30(s137) | (~until2p29(s137)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s137) | xuntil2p30(s137) | (~until2p29(s137)))),
% 5.54/4.39 inference(rewrite,[status(thm)],[])).
% 5.54/4.39 tff(21474,plain,
% 5.54/4.39 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s137) | xuntil2p30(s137) | (~until2p29(s137)))),
% 5.54/4.39 inference(quant_inst,[status(thm)],[])).
% 5.54/4.39 tff(21475,plain,
% 5.54/4.39 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s137) | xuntil2p30(s137) | (~until2p29(s137))),
% 5.54/4.39 inference(modus_ponens,[status(thm)],[21474, 21473])).
% 5.54/4.39 tff(21476,plain,
% 5.54/4.39 (xuntil2p30(s137) | (~until2p29(s137))),
% 5.54/4.39 inference(unit_resolution,[status(thm)],[21475, 20793, 16988])).
% 5.54/4.39 tff(21477,plain,
% 5.54/4.39 (~until2p29(s137)),
% 5.54/4.39 inference(unit_resolution,[status(thm)],[21476, 21472])).
% 5.54/4.39 tff(21478,plain,
% 5.54/4.39 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s136, s137)) | until2p29(s137) | (~xuntil2p30(s136)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s136, s137)) | until2p29(s137) | (~xuntil2p30(s136)))),
% 5.54/4.39 inference(rewrite,[status(thm)],[])).
% 5.54/4.39 tff(21479,plain,
% 5.54/4.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s136, s137)) | until2p29(s137) | (~xuntil2p30(s136)))),
% 5.54/4.39 inference(quant_inst,[status(thm)],[])).
% 5.54/4.39 tff(21480,plain,
% 5.54/4.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s136, s137)) | until2p29(s137) | (~xuntil2p30(s136))),
% 5.54/4.39 inference(modus_ponens,[status(thm)],[21479, 21478])).
% 5.54/4.39 tff(21481,plain,
% 5.54/4.39 (until2p29(s137) | (~xuntil2p30(s136))),
% 5.54/4.39 inference(unit_resolution,[status(thm)],[21480, 11180, 20808])).
% 5.54/4.39 tff(21482,plain,
% 5.54/4.39 (~xuntil2p30(s136)),
% 5.54/4.39 inference(unit_resolution,[status(thm)],[21481, 21477])).
% 5.54/4.39 tff(21483,plain,
% 5.54/4.39 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s136) | xuntil2p30(s136) | (~until2p29(s136)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s136) | xuntil2p30(s136) | (~until2p29(s136)))),
% 5.54/4.39 inference(rewrite,[status(thm)],[])).
% 5.54/4.39 tff(21484,plain,
% 5.54/4.39 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s136) | xuntil2p30(s136) | (~until2p29(s136)))),
% 5.54/4.39 inference(quant_inst,[status(thm)],[])).
% 5.54/4.39 tff(21485,plain,
% 5.54/4.39 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s136) | xuntil2p30(s136) | (~until2p29(s136))),
% 5.54/4.39 inference(modus_ponens,[status(thm)],[21484, 21483])).
% 5.54/4.39 tff(21486,plain,
% 5.54/4.39 (xuntil2p30(s136) | (~until2p29(s136))),
% 5.54/4.39 inference(unit_resolution,[status(thm)],[21485, 20793, 19843])).
% 5.54/4.39 tff(21487,plain,
% 5.54/4.39 (~until2p29(s136)),
% 5.54/4.39 inference(unit_resolution,[status(thm)],[21486, 21482])).
% 5.54/4.39 tff(21488,plain,
% 5.54/4.39 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s135, s136)) | until2p29(s136) | (~xuntil2p30(s135)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s135, s136)) | until2p29(s136) | (~xuntil2p30(s135)))),
% 5.54/4.39 inference(rewrite,[status(thm)],[])).
% 5.54/4.39 tff(21489,plain,
% 5.54/4.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s135, s136)) | until2p29(s136) | (~xuntil2p30(s135)))),
% 5.54/4.39 inference(quant_inst,[status(thm)],[])).
% 5.54/4.39 tff(21490,plain,
% 5.54/4.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s135, s136)) | until2p29(s136) | (~xuntil2p30(s135))),
% 5.54/4.39 inference(modus_ponens,[status(thm)],[21489, 21488])).
% 5.54/4.39 tff(21491,plain,
% 5.54/4.39 (until2p29(s136) | (~xuntil2p30(s135))),
% 5.54/4.39 inference(unit_resolution,[status(thm)],[21490, 11091, 20808])).
% 5.54/4.39 tff(21492,plain,
% 5.54/4.39 (~xuntil2p30(s135)),
% 5.54/4.39 inference(unit_resolution,[status(thm)],[21491, 21487])).
% 5.54/4.39 tff(21493,plain,
% 5.54/4.39 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s135) | xuntil2p30(s135) | (~until2p29(s135)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s135) | xuntil2p30(s135) | (~until2p29(s135)))),
% 5.54/4.39 inference(rewrite,[status(thm)],[])).
% 5.54/4.39 tff(21494,plain,
% 5.54/4.39 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s135) | xuntil2p30(s135) | (~until2p29(s135)))),
% 5.54/4.39 inference(quant_inst,[status(thm)],[])).
% 5.54/4.39 tff(21495,plain,
% 5.54/4.39 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s135) | xuntil2p30(s135) | (~until2p29(s135))),
% 5.54/4.39 inference(modus_ponens,[status(thm)],[21494, 21493])).
% 5.54/4.39 tff(21496,plain,
% 5.54/4.39 (xuntil2p30(s135) | (~until2p29(s135))),
% 5.54/4.39 inference(unit_resolution,[status(thm)],[21495, 20793, 17004])).
% 5.54/4.39 tff(21497,plain,
% 5.54/4.39 (~until2p29(s135)),
% 5.54/4.39 inference(unit_resolution,[status(thm)],[21496, 21492])).
% 5.54/4.39 tff(21498,plain,
% 5.54/4.39 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s134, s135)) | until2p29(s135) | (~xuntil2p30(s134)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s134, s135)) | until2p29(s135) | (~xuntil2p30(s134)))),
% 5.54/4.39 inference(rewrite,[status(thm)],[])).
% 5.54/4.39 tff(21499,plain,
% 5.54/4.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s134, s135)) | until2p29(s135) | (~xuntil2p30(s134)))),
% 5.54/4.39 inference(quant_inst,[status(thm)],[])).
% 5.54/4.39 tff(21500,plain,
% 5.54/4.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s134, s135)) | until2p29(s135) | (~xuntil2p30(s134))),
% 5.54/4.39 inference(modus_ponens,[status(thm)],[21499, 21498])).
% 5.54/4.39 tff(21501,plain,
% 5.54/4.39 (until2p29(s135) | (~xuntil2p30(s134))),
% 5.54/4.39 inference(unit_resolution,[status(thm)],[21500, 11016, 20808])).
% 5.54/4.39 tff(21502,plain,
% 5.54/4.39 (~xuntil2p30(s134)),
% 5.54/4.39 inference(unit_resolution,[status(thm)],[21501, 21497])).
% 5.54/4.39 tff(21503,plain,
% 5.54/4.39 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s134) | xuntil2p30(s134) | (~until2p29(s134)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s134) | xuntil2p30(s134) | (~until2p29(s134)))),
% 5.54/4.39 inference(rewrite,[status(thm)],[])).
% 5.54/4.39 tff(21504,plain,
% 5.54/4.39 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s134) | xuntil2p30(s134) | (~until2p29(s134)))),
% 5.54/4.39 inference(quant_inst,[status(thm)],[])).
% 5.54/4.39 tff(21505,plain,
% 5.54/4.39 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s134) | xuntil2p30(s134) | (~until2p29(s134))),
% 5.54/4.39 inference(modus_ponens,[status(thm)],[21504, 21503])).
% 5.54/4.39 tff(21506,plain,
% 5.54/4.39 (xuntil2p30(s134) | (~until2p29(s134))),
% 5.54/4.39 inference(unit_resolution,[status(thm)],[21505, 20793, 17013])).
% 5.54/4.39 tff(21507,plain,
% 5.54/4.39 (~until2p29(s134)),
% 5.54/4.39 inference(unit_resolution,[status(thm)],[21506, 21502])).
% 5.54/4.39 tff(21508,plain,
% 5.54/4.39 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s133, s134)) | until2p29(s134) | (~xuntil2p30(s133)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s133, s134)) | until2p29(s134) | (~xuntil2p30(s133)))),
% 5.54/4.39 inference(rewrite,[status(thm)],[])).
% 5.54/4.39 tff(21509,plain,
% 5.54/4.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s133, s134)) | until2p29(s134) | (~xuntil2p30(s133)))),
% 5.54/4.39 inference(quant_inst,[status(thm)],[])).
% 5.54/4.39 tff(21510,plain,
% 5.54/4.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s133, s134)) | until2p29(s134) | (~xuntil2p30(s133))),
% 5.54/4.39 inference(modus_ponens,[status(thm)],[21509, 21508])).
% 5.54/4.39 tff(21511,plain,
% 5.54/4.39 (until2p29(s134) | (~xuntil2p30(s133))),
% 5.54/4.39 inference(unit_resolution,[status(thm)],[21510, 10952, 20808])).
% 5.54/4.39 tff(21512,plain,
% 5.54/4.39 (~xuntil2p30(s133)),
% 5.54/4.39 inference(unit_resolution,[status(thm)],[21511, 21507])).
% 5.54/4.39 tff(21513,plain,
% 5.54/4.39 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s133) | xuntil2p30(s133) | (~until2p29(s133)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s133) | xuntil2p30(s133) | (~until2p29(s133)))),
% 5.54/4.39 inference(rewrite,[status(thm)],[])).
% 5.54/4.39 tff(21514,plain,
% 5.54/4.39 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s133) | xuntil2p30(s133) | (~until2p29(s133)))),
% 5.54/4.39 inference(quant_inst,[status(thm)],[])).
% 5.54/4.39 tff(21515,plain,
% 5.54/4.39 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s133) | xuntil2p30(s133) | (~until2p29(s133))),
% 5.54/4.39 inference(modus_ponens,[status(thm)],[21514, 21513])).
% 5.54/4.39 tff(21516,plain,
% 5.54/4.39 (xuntil2p30(s133) | (~until2p29(s133))),
% 5.54/4.39 inference(unit_resolution,[status(thm)],[21515, 20793, 17017])).
% 5.54/4.39 tff(21517,plain,
% 5.54/4.39 (~until2p29(s133)),
% 5.54/4.39 inference(unit_resolution,[status(thm)],[21516, 21512])).
% 5.54/4.39 tff(21518,plain,
% 5.54/4.39 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s132, s133)) | until2p29(s133) | (~xuntil2p30(s132)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s132, s133)) | until2p29(s133) | (~xuntil2p30(s132)))),
% 5.54/4.39 inference(rewrite,[status(thm)],[])).
% 5.54/4.39 tff(21519,plain,
% 5.54/4.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s132, s133)) | until2p29(s133) | (~xuntil2p30(s132)))),
% 5.54/4.39 inference(quant_inst,[status(thm)],[])).
% 5.54/4.39 tff(21520,plain,
% 5.54/4.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s132, s133)) | until2p29(s133) | (~xuntil2p30(s132))),
% 5.54/4.39 inference(modus_ponens,[status(thm)],[21519, 21518])).
% 5.54/4.39 tff(21521,plain,
% 5.54/4.39 (until2p29(s133) | (~xuntil2p30(s132))),
% 5.54/4.39 inference(unit_resolution,[status(thm)],[21520, 10857, 20808])).
% 5.54/4.39 tff(21522,plain,
% 5.54/4.39 (~xuntil2p30(s132)),
% 5.54/4.39 inference(unit_resolution,[status(thm)],[21521, 21517])).
% 5.54/4.39 tff(21523,plain,
% 5.54/4.39 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s132) | xuntil2p30(s132) | (~until2p29(s132)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s132) | xuntil2p30(s132) | (~until2p29(s132)))),
% 5.54/4.39 inference(rewrite,[status(thm)],[])).
% 5.54/4.39 tff(21524,plain,
% 5.54/4.39 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s132) | xuntil2p30(s132) | (~until2p29(s132)))),
% 5.54/4.39 inference(quant_inst,[status(thm)],[])).
% 5.54/4.39 tff(21525,plain,
% 5.54/4.39 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s132) | xuntil2p30(s132) | (~until2p29(s132))),
% 5.54/4.39 inference(modus_ponens,[status(thm)],[21524, 21523])).
% 5.54/4.39 tff(21526,plain,
% 5.54/4.39 (xuntil2p30(s132) | (~until2p29(s132))),
% 5.54/4.39 inference(unit_resolution,[status(thm)],[21525, 20793, 19789])).
% 5.54/4.39 tff(21527,plain,
% 5.54/4.39 (~until2p29(s132)),
% 5.54/4.39 inference(unit_resolution,[status(thm)],[21526, 21522])).
% 5.54/4.39 tff(21528,plain,
% 5.54/4.39 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s131, s132)) | until2p29(s132) | (~xuntil2p30(s131)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s131, s132)) | until2p29(s132) | (~xuntil2p30(s131)))),
% 5.54/4.39 inference(rewrite,[status(thm)],[])).
% 5.54/4.39 tff(21529,plain,
% 5.54/4.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s131, s132)) | until2p29(s132) | (~xuntil2p30(s131)))),
% 5.54/4.39 inference(quant_inst,[status(thm)],[])).
% 5.54/4.39 tff(21530,plain,
% 5.54/4.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s131, s132)) | until2p29(s132) | (~xuntil2p30(s131))),
% 5.54/4.39 inference(modus_ponens,[status(thm)],[21529, 21528])).
% 5.54/4.39 tff(21531,plain,
% 5.54/4.39 (until2p29(s132) | (~xuntil2p30(s131))),
% 5.54/4.39 inference(unit_resolution,[status(thm)],[21530, 10796, 20808])).
% 5.54/4.39 tff(21532,plain,
% 5.54/4.39 (~xuntil2p30(s131)),
% 5.54/4.39 inference(unit_resolution,[status(thm)],[21531, 21527])).
% 5.54/4.39 tff(21533,plain,
% 5.54/4.39 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s131) | xuntil2p30(s131) | (~until2p29(s131)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s131) | xuntil2p30(s131) | (~until2p29(s131)))),
% 5.54/4.39 inference(rewrite,[status(thm)],[])).
% 5.54/4.39 tff(21534,plain,
% 5.54/4.39 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s131) | xuntil2p30(s131) | (~until2p29(s131)))),
% 5.54/4.39 inference(quant_inst,[status(thm)],[])).
% 5.54/4.39 tff(21535,plain,
% 5.54/4.39 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s131) | xuntil2p30(s131) | (~until2p29(s131))),
% 5.54/4.39 inference(modus_ponens,[status(thm)],[21534, 21533])).
% 5.54/4.39 tff(21536,plain,
% 5.54/4.39 (xuntil2p30(s131) | (~until2p29(s131))),
% 5.54/4.39 inference(unit_resolution,[status(thm)],[21535, 20793, 17033])).
% 5.54/4.39 tff(21537,plain,
% 5.54/4.39 (~until2p29(s131)),
% 5.54/4.39 inference(unit_resolution,[status(thm)],[21536, 21532])).
% 5.54/4.39 tff(21538,plain,
% 5.54/4.39 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s130, s131)) | until2p29(s131) | (~xuntil2p30(s130)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s130, s131)) | until2p29(s131) | (~xuntil2p30(s130)))),
% 5.54/4.39 inference(rewrite,[status(thm)],[])).
% 5.54/4.39 tff(21539,plain,
% 5.54/4.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s130, s131)) | until2p29(s131) | (~xuntil2p30(s130)))),
% 5.54/4.39 inference(quant_inst,[status(thm)],[])).
% 5.54/4.39 tff(21540,plain,
% 5.54/4.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s130, s131)) | until2p29(s131) | (~xuntil2p30(s130))),
% 5.54/4.39 inference(modus_ponens,[status(thm)],[21539, 21538])).
% 5.54/4.39 tff(21541,plain,
% 5.54/4.39 (until2p29(s131) | (~xuntil2p30(s130))),
% 5.54/4.39 inference(unit_resolution,[status(thm)],[21540, 10718, 20808])).
% 5.54/4.39 tff(21542,plain,
% 5.54/4.39 (~xuntil2p30(s130)),
% 5.54/4.39 inference(unit_resolution,[status(thm)],[21541, 21537])).
% 5.54/4.39 tff(21543,plain,
% 5.54/4.39 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s130) | xuntil2p30(s130) | (~until2p29(s130)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s130) | xuntil2p30(s130) | (~until2p29(s130)))),
% 5.54/4.39 inference(rewrite,[status(thm)],[])).
% 5.54/4.39 tff(21544,plain,
% 5.54/4.39 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s130) | xuntil2p30(s130) | (~until2p29(s130)))),
% 5.54/4.39 inference(quant_inst,[status(thm)],[])).
% 5.54/4.39 tff(21545,plain,
% 5.54/4.39 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s130) | xuntil2p30(s130) | (~until2p29(s130))),
% 5.54/4.39 inference(modus_ponens,[status(thm)],[21544, 21543])).
% 5.54/4.39 tff(21546,plain,
% 5.54/4.39 (xuntil2p30(s130) | (~until2p29(s130))),
% 5.54/4.39 inference(unit_resolution,[status(thm)],[21545, 20793, 17042])).
% 5.54/4.39 tff(21547,plain,
% 5.54/4.39 (~until2p29(s130)),
% 5.54/4.39 inference(unit_resolution,[status(thm)],[21546, 21542])).
% 5.54/4.39 tff(21548,plain,
% 5.54/4.39 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s129, s130)) | until2p29(s130) | (~xuntil2p30(s129)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s129, s130)) | until2p29(s130) | (~xuntil2p30(s129)))),
% 5.54/4.39 inference(rewrite,[status(thm)],[])).
% 5.54/4.39 tff(21549,plain,
% 5.54/4.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s129, s130)) | until2p29(s130) | (~xuntil2p30(s129)))),
% 5.54/4.39 inference(quant_inst,[status(thm)],[])).
% 5.54/4.39 tff(21550,plain,
% 5.54/4.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s129, s130)) | until2p29(s130) | (~xuntil2p30(s129))),
% 5.54/4.39 inference(modus_ponens,[status(thm)],[21549, 21548])).
% 5.54/4.39 tff(21551,plain,
% 5.54/4.39 (until2p29(s130) | (~xuntil2p30(s129))),
% 5.54/4.39 inference(unit_resolution,[status(thm)],[21550, 10619, 20808])).
% 5.54/4.39 tff(21552,plain,
% 5.54/4.39 (~xuntil2p30(s129)),
% 5.54/4.39 inference(unit_resolution,[status(thm)],[21551, 21547])).
% 5.54/4.39 tff(21553,plain,
% 5.54/4.39 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s129) | xuntil2p30(s129) | (~until2p29(s129)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s129) | xuntil2p30(s129) | (~until2p29(s129)))),
% 5.54/4.39 inference(rewrite,[status(thm)],[])).
% 5.54/4.39 tff(21554,plain,
% 5.54/4.39 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s129) | xuntil2p30(s129) | (~until2p29(s129)))),
% 5.54/4.39 inference(quant_inst,[status(thm)],[])).
% 5.54/4.39 tff(21555,plain,
% 5.54/4.39 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s129) | xuntil2p30(s129) | (~until2p29(s129))),
% 5.54/4.39 inference(modus_ponens,[status(thm)],[21554, 21553])).
% 5.54/4.39 tff(21556,plain,
% 5.54/4.39 (xuntil2p30(s129) | (~until2p29(s129))),
% 5.54/4.39 inference(unit_resolution,[status(thm)],[21555, 20793, 17046])).
% 5.54/4.39 tff(21557,plain,
% 5.54/4.39 (~until2p29(s129)),
% 5.54/4.39 inference(unit_resolution,[status(thm)],[21556, 21552])).
% 5.54/4.39 tff(21558,plain,
% 5.54/4.39 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s128, s129)) | until2p29(s129) | (~xuntil2p30(s128)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s128, s129)) | until2p29(s129) | (~xuntil2p30(s128)))),
% 5.54/4.39 inference(rewrite,[status(thm)],[])).
% 5.54/4.39 tff(21559,plain,
% 5.54/4.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s128, s129)) | until2p29(s129) | (~xuntil2p30(s128)))),
% 5.54/4.39 inference(quant_inst,[status(thm)],[])).
% 5.54/4.39 tff(21560,plain,
% 5.54/4.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s128, s129)) | until2p29(s129) | (~xuntil2p30(s128))),
% 5.54/4.39 inference(modus_ponens,[status(thm)],[21559, 21558])).
% 5.54/4.39 tff(21561,plain,
% 5.54/4.39 (until2p29(s129) | (~xuntil2p30(s128))),
% 5.54/4.39 inference(unit_resolution,[status(thm)],[21560, 10552, 20808])).
% 5.54/4.39 tff(21562,plain,
% 5.54/4.39 (~xuntil2p30(s128)),
% 5.54/4.39 inference(unit_resolution,[status(thm)],[21561, 21557])).
% 5.54/4.39 tff(21563,plain,
% 5.54/4.39 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s128) | xuntil2p30(s128) | (~until2p29(s128)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s128) | xuntil2p30(s128) | (~until2p29(s128)))),
% 5.54/4.39 inference(rewrite,[status(thm)],[])).
% 5.54/4.39 tff(21564,plain,
% 5.54/4.39 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s128) | xuntil2p30(s128) | (~until2p29(s128)))),
% 5.54/4.39 inference(quant_inst,[status(thm)],[])).
% 5.54/4.39 tff(21565,plain,
% 5.54/4.39 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s128) | xuntil2p30(s128) | (~until2p29(s128))),
% 5.54/4.39 inference(modus_ponens,[status(thm)],[21564, 21563])).
% 5.54/4.39 tff(21566,plain,
% 5.54/4.39 (xuntil2p30(s128) | (~until2p29(s128))),
% 5.54/4.39 inference(unit_resolution,[status(thm)],[21565, 20793, 19735])).
% 5.54/4.39 tff(21567,plain,
% 5.54/4.39 (~until2p29(s128)),
% 5.54/4.39 inference(unit_resolution,[status(thm)],[21566, 21562])).
% 5.54/4.39 tff(21568,plain,
% 5.54/4.39 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s127, s128)) | until2p29(s128) | (~xuntil2p30(s127)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s127, s128)) | until2p29(s128) | (~xuntil2p30(s127)))),
% 5.54/4.39 inference(rewrite,[status(thm)],[])).
% 5.54/4.39 tff(21569,plain,
% 5.54/4.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s127, s128)) | until2p29(s128) | (~xuntil2p30(s127)))),
% 5.54/4.39 inference(quant_inst,[status(thm)],[])).
% 5.54/4.39 tff(21570,plain,
% 5.54/4.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s127, s128)) | until2p29(s128) | (~xuntil2p30(s127))),
% 5.54/4.39 inference(modus_ponens,[status(thm)],[21569, 21568])).
% 5.54/4.39 tff(21571,plain,
% 5.54/4.39 (until2p29(s128) | (~xuntil2p30(s127))),
% 5.54/4.39 inference(unit_resolution,[status(thm)],[21570, 10463, 20808])).
% 5.54/4.39 tff(21572,plain,
% 5.54/4.39 (~xuntil2p30(s127)),
% 5.54/4.39 inference(unit_resolution,[status(thm)],[21571, 21567])).
% 5.54/4.39 tff(21573,plain,
% 5.54/4.39 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s127) | xuntil2p30(s127) | (~until2p29(s127)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s127) | xuntil2p30(s127) | (~until2p29(s127)))),
% 5.54/4.39 inference(rewrite,[status(thm)],[])).
% 5.54/4.39 tff(21574,plain,
% 5.54/4.39 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s127) | xuntil2p30(s127) | (~until2p29(s127)))),
% 5.54/4.39 inference(quant_inst,[status(thm)],[])).
% 5.54/4.39 tff(21575,plain,
% 5.54/4.39 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s127) | xuntil2p30(s127) | (~until2p29(s127))),
% 5.54/4.39 inference(modus_ponens,[status(thm)],[21574, 21573])).
% 5.54/4.39 tff(21576,plain,
% 5.54/4.39 (xuntil2p30(s127) | (~until2p29(s127))),
% 5.54/4.39 inference(unit_resolution,[status(thm)],[21575, 20793, 17062])).
% 5.54/4.39 tff(21577,plain,
% 5.54/4.39 (~until2p29(s127)),
% 5.54/4.39 inference(unit_resolution,[status(thm)],[21576, 21572])).
% 5.54/4.39 tff(21578,plain,
% 5.54/4.39 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s126, s127)) | until2p29(s127) | (~xuntil2p30(s126)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s126, s127)) | until2p29(s127) | (~xuntil2p30(s126)))),
% 5.54/4.39 inference(rewrite,[status(thm)],[])).
% 5.54/4.39 tff(21579,plain,
% 5.54/4.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s126, s127)) | until2p29(s127) | (~xuntil2p30(s126)))),
% 5.54/4.39 inference(quant_inst,[status(thm)],[])).
% 5.54/4.39 tff(21580,plain,
% 5.54/4.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s126, s127)) | until2p29(s127) | (~xuntil2p30(s126))),
% 5.54/4.39 inference(modus_ponens,[status(thm)],[21579, 21578])).
% 5.54/4.39 tff(21581,plain,
% 5.54/4.39 (until2p29(s127) | (~xuntil2p30(s126))),
% 5.54/4.39 inference(unit_resolution,[status(thm)],[21580, 10388, 20808])).
% 5.54/4.39 tff(21582,plain,
% 5.54/4.39 (~xuntil2p30(s126)),
% 5.54/4.39 inference(unit_resolution,[status(thm)],[21581, 21577])).
% 5.54/4.39 tff(21583,plain,
% 5.54/4.39 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s126) | xuntil2p30(s126) | (~until2p29(s126)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s126) | xuntil2p30(s126) | (~until2p29(s126)))),
% 5.54/4.39 inference(rewrite,[status(thm)],[])).
% 5.54/4.39 tff(21584,plain,
% 5.54/4.39 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s126) | xuntil2p30(s126) | (~until2p29(s126)))),
% 5.54/4.39 inference(quant_inst,[status(thm)],[])).
% 5.54/4.39 tff(21585,plain,
% 5.54/4.39 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s126) | xuntil2p30(s126) | (~until2p29(s126))),
% 5.54/4.39 inference(modus_ponens,[status(thm)],[21584, 21583])).
% 5.54/4.39 tff(21586,plain,
% 5.54/4.39 (xuntil2p30(s126) | (~until2p29(s126))),
% 5.54/4.39 inference(unit_resolution,[status(thm)],[21585, 20793, 17071])).
% 5.54/4.39 tff(21587,plain,
% 5.54/4.39 (~until2p29(s126)),
% 5.54/4.39 inference(unit_resolution,[status(thm)],[21586, 21582])).
% 5.54/4.39 tff(21588,plain,
% 5.54/4.39 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s125, s126)) | until2p29(s126) | (~xuntil2p30(s125)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s125, s126)) | until2p29(s126) | (~xuntil2p30(s125)))),
% 5.54/4.39 inference(rewrite,[status(thm)],[])).
% 5.54/4.39 tff(21589,plain,
% 5.54/4.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s125, s126)) | until2p29(s126) | (~xuntil2p30(s125)))),
% 5.54/4.39 inference(quant_inst,[status(thm)],[])).
% 5.54/4.39 tff(21590,plain,
% 5.54/4.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s125, s126)) | until2p29(s126) | (~xuntil2p30(s125))),
% 5.54/4.39 inference(modus_ponens,[status(thm)],[21589, 21588])).
% 5.54/4.39 tff(21591,plain,
% 5.54/4.39 (until2p29(s126) | (~xuntil2p30(s125))),
% 5.54/4.39 inference(unit_resolution,[status(thm)],[21590, 10324, 20808])).
% 5.54/4.39 tff(21592,plain,
% 5.54/4.39 (~xuntil2p30(s125)),
% 5.54/4.39 inference(unit_resolution,[status(thm)],[21591, 21587])).
% 5.54/4.39 tff(21593,plain,
% 5.54/4.39 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s125) | xuntil2p30(s125) | (~until2p29(s125)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s125) | xuntil2p30(s125) | (~until2p29(s125)))),
% 5.54/4.39 inference(rewrite,[status(thm)],[])).
% 5.54/4.39 tff(21594,plain,
% 5.54/4.39 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s125) | xuntil2p30(s125) | (~until2p29(s125)))),
% 5.54/4.39 inference(quant_inst,[status(thm)],[])).
% 5.54/4.39 tff(21595,plain,
% 5.54/4.39 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s125) | xuntil2p30(s125) | (~until2p29(s125))),
% 5.54/4.39 inference(modus_ponens,[status(thm)],[21594, 21593])).
% 5.54/4.39 tff(21596,plain,
% 5.54/4.39 (xuntil2p30(s125) | (~until2p29(s125))),
% 5.54/4.39 inference(unit_resolution,[status(thm)],[21595, 20793, 17075])).
% 5.54/4.39 tff(21597,plain,
% 5.54/4.39 (~until2p29(s125)),
% 5.54/4.39 inference(unit_resolution,[status(thm)],[21596, 21592])).
% 5.54/4.40 tff(21598,plain,
% 5.54/4.40 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s124, s125)) | until2p29(s125) | (~xuntil2p30(s124)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s124, s125)) | until2p29(s125) | (~xuntil2p30(s124)))),
% 5.54/4.40 inference(rewrite,[status(thm)],[])).
% 5.54/4.40 tff(21599,plain,
% 5.54/4.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s124, s125)) | until2p29(s125) | (~xuntil2p30(s124)))),
% 5.54/4.40 inference(quant_inst,[status(thm)],[])).
% 5.54/4.40 tff(21600,plain,
% 5.54/4.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s124, s125)) | until2p29(s125) | (~xuntil2p30(s124))),
% 5.54/4.40 inference(modus_ponens,[status(thm)],[21599, 21598])).
% 5.54/4.40 tff(21601,plain,
% 5.54/4.40 (until2p29(s125) | (~xuntil2p30(s124))),
% 5.54/4.40 inference(unit_resolution,[status(thm)],[21600, 10229, 20808])).
% 5.54/4.40 tff(21602,plain,
% 5.54/4.40 (~xuntil2p30(s124)),
% 5.54/4.40 inference(unit_resolution,[status(thm)],[21601, 21597])).
% 5.54/4.40 tff(21603,plain,
% 5.54/4.40 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s124) | xuntil2p30(s124) | (~until2p29(s124)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s124) | xuntil2p30(s124) | (~until2p29(s124)))),
% 5.54/4.40 inference(rewrite,[status(thm)],[])).
% 5.54/4.40 tff(21604,plain,
% 5.54/4.40 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s124) | xuntil2p30(s124) | (~until2p29(s124)))),
% 5.54/4.40 inference(quant_inst,[status(thm)],[])).
% 5.54/4.40 tff(21605,plain,
% 5.54/4.40 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s124) | xuntil2p30(s124) | (~until2p29(s124))),
% 5.54/4.40 inference(modus_ponens,[status(thm)],[21604, 21603])).
% 5.54/4.40 tff(21606,plain,
% 5.54/4.40 (xuntil2p30(s124) | (~until2p29(s124))),
% 5.54/4.40 inference(unit_resolution,[status(thm)],[21605, 20793, 19681])).
% 5.54/4.40 tff(21607,plain,
% 5.54/4.40 (~until2p29(s124)),
% 5.54/4.40 inference(unit_resolution,[status(thm)],[21606, 21602])).
% 5.54/4.40 tff(21608,plain,
% 5.54/4.40 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s123, s124)) | until2p29(s124) | (~xuntil2p30(s123)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s123, s124)) | until2p29(s124) | (~xuntil2p30(s123)))),
% 5.54/4.40 inference(rewrite,[status(thm)],[])).
% 5.54/4.40 tff(21609,plain,
% 5.54/4.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s123, s124)) | until2p29(s124) | (~xuntil2p30(s123)))),
% 5.54/4.40 inference(quant_inst,[status(thm)],[])).
% 5.54/4.40 tff(21610,plain,
% 5.54/4.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s123, s124)) | until2p29(s124) | (~xuntil2p30(s123))),
% 5.54/4.40 inference(modus_ponens,[status(thm)],[21609, 21608])).
% 5.54/4.40 tff(21611,plain,
% 5.54/4.40 (until2p29(s124) | (~xuntil2p30(s123))),
% 5.54/4.40 inference(unit_resolution,[status(thm)],[21610, 10168, 20808])).
% 5.54/4.40 tff(21612,plain,
% 5.54/4.40 (~xuntil2p30(s123)),
% 5.54/4.40 inference(unit_resolution,[status(thm)],[21611, 21607])).
% 5.54/4.40 tff(21613,plain,
% 5.54/4.40 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s123) | xuntil2p30(s123) | (~until2p29(s123)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s123) | xuntil2p30(s123) | (~until2p29(s123)))),
% 5.54/4.40 inference(rewrite,[status(thm)],[])).
% 5.54/4.40 tff(21614,plain,
% 5.54/4.40 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s123) | xuntil2p30(s123) | (~until2p29(s123)))),
% 5.54/4.40 inference(quant_inst,[status(thm)],[])).
% 5.54/4.40 tff(21615,plain,
% 5.54/4.40 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s123) | xuntil2p30(s123) | (~until2p29(s123))),
% 5.54/4.40 inference(modus_ponens,[status(thm)],[21614, 21613])).
% 5.54/4.40 tff(21616,plain,
% 5.54/4.40 (xuntil2p30(s123) | (~until2p29(s123))),
% 5.54/4.40 inference(unit_resolution,[status(thm)],[21615, 20793, 17091])).
% 5.54/4.40 tff(21617,plain,
% 5.54/4.40 (~until2p29(s123)),
% 5.54/4.40 inference(unit_resolution,[status(thm)],[21616, 21612])).
% 5.54/4.40 tff(21618,plain,
% 5.54/4.40 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s122, s123)) | until2p29(s123) | (~xuntil2p30(s122)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s122, s123)) | until2p29(s123) | (~xuntil2p30(s122)))),
% 5.54/4.40 inference(rewrite,[status(thm)],[])).
% 5.54/4.40 tff(21619,plain,
% 5.54/4.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s122, s123)) | until2p29(s123) | (~xuntil2p30(s122)))),
% 5.54/4.40 inference(quant_inst,[status(thm)],[])).
% 5.54/4.40 tff(21620,plain,
% 5.54/4.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s122, s123)) | until2p29(s123) | (~xuntil2p30(s122))),
% 5.54/4.40 inference(modus_ponens,[status(thm)],[21619, 21618])).
% 5.54/4.40 tff(21621,plain,
% 5.54/4.40 (until2p29(s123) | (~xuntil2p30(s122))),
% 5.54/4.40 inference(unit_resolution,[status(thm)],[21620, 10090, 20808])).
% 5.54/4.40 tff(21622,plain,
% 5.54/4.40 (~xuntil2p30(s122)),
% 5.54/4.40 inference(unit_resolution,[status(thm)],[21621, 21617])).
% 5.54/4.40 tff(21623,plain,
% 5.54/4.40 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s122) | xuntil2p30(s122) | (~until2p29(s122)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s122) | xuntil2p30(s122) | (~until2p29(s122)))),
% 5.54/4.40 inference(rewrite,[status(thm)],[])).
% 5.54/4.40 tff(21624,plain,
% 5.54/4.40 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s122) | xuntil2p30(s122) | (~until2p29(s122)))),
% 5.54/4.40 inference(quant_inst,[status(thm)],[])).
% 5.54/4.40 tff(21625,plain,
% 5.54/4.40 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s122) | xuntil2p30(s122) | (~until2p29(s122))),
% 5.54/4.40 inference(modus_ponens,[status(thm)],[21624, 21623])).
% 5.54/4.40 tff(21626,plain,
% 5.54/4.40 (xuntil2p30(s122) | (~until2p29(s122))),
% 5.54/4.40 inference(unit_resolution,[status(thm)],[21625, 20793, 17100])).
% 5.54/4.40 tff(21627,plain,
% 5.54/4.40 (~until2p29(s122)),
% 5.54/4.40 inference(unit_resolution,[status(thm)],[21626, 21622])).
% 5.54/4.40 tff(21628,plain,
% 5.54/4.40 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s121, s122)) | until2p29(s122) | (~xuntil2p30(s121)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s121, s122)) | until2p29(s122) | (~xuntil2p30(s121)))),
% 5.54/4.40 inference(rewrite,[status(thm)],[])).
% 5.54/4.40 tff(21629,plain,
% 5.54/4.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s121, s122)) | until2p29(s122) | (~xuntil2p30(s121)))),
% 5.54/4.40 inference(quant_inst,[status(thm)],[])).
% 5.54/4.40 tff(21630,plain,
% 5.54/4.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s121, s122)) | until2p29(s122) | (~xuntil2p30(s121))),
% 5.54/4.40 inference(modus_ponens,[status(thm)],[21629, 21628])).
% 5.54/4.40 tff(21631,plain,
% 5.54/4.40 (until2p29(s122) | (~xuntil2p30(s121))),
% 5.54/4.40 inference(unit_resolution,[status(thm)],[21630, 9991, 20808])).
% 5.54/4.40 tff(21632,plain,
% 5.54/4.40 (~xuntil2p30(s121)),
% 5.54/4.40 inference(unit_resolution,[status(thm)],[21631, 21627])).
% 5.54/4.40 tff(21633,plain,
% 5.54/4.40 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s121) | xuntil2p30(s121) | (~until2p29(s121)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s121) | xuntil2p30(s121) | (~until2p29(s121)))),
% 5.54/4.40 inference(rewrite,[status(thm)],[])).
% 5.54/4.40 tff(21634,plain,
% 5.54/4.40 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s121) | xuntil2p30(s121) | (~until2p29(s121)))),
% 5.54/4.40 inference(quant_inst,[status(thm)],[])).
% 5.54/4.40 tff(21635,plain,
% 5.54/4.40 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s121) | xuntil2p30(s121) | (~until2p29(s121))),
% 5.54/4.40 inference(modus_ponens,[status(thm)],[21634, 21633])).
% 5.54/4.40 tff(21636,plain,
% 5.54/4.40 (xuntil2p30(s121) | (~until2p29(s121))),
% 5.54/4.40 inference(unit_resolution,[status(thm)],[21635, 20793, 17104])).
% 5.54/4.40 tff(21637,plain,
% 5.54/4.40 (~until2p29(s121)),
% 5.54/4.40 inference(unit_resolution,[status(thm)],[21636, 21632])).
% 5.54/4.40 tff(21638,plain,
% 5.54/4.40 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s120, s121)) | until2p29(s121) | (~xuntil2p30(s120)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s120, s121)) | until2p29(s121) | (~xuntil2p30(s120)))),
% 5.54/4.40 inference(rewrite,[status(thm)],[])).
% 5.54/4.40 tff(21639,plain,
% 5.54/4.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s120, s121)) | until2p29(s121) | (~xuntil2p30(s120)))),
% 5.54/4.40 inference(quant_inst,[status(thm)],[])).
% 5.54/4.40 tff(21640,plain,
% 5.54/4.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s120, s121)) | until2p29(s121) | (~xuntil2p30(s120))),
% 5.54/4.40 inference(modus_ponens,[status(thm)],[21639, 21638])).
% 5.54/4.40 tff(21641,plain,
% 5.54/4.40 (until2p29(s121) | (~xuntil2p30(s120))),
% 5.54/4.40 inference(unit_resolution,[status(thm)],[21640, 9924, 20808])).
% 5.54/4.40 tff(21642,plain,
% 5.54/4.40 (~xuntil2p30(s120)),
% 5.54/4.40 inference(unit_resolution,[status(thm)],[21641, 21637])).
% 5.54/4.40 tff(21643,plain,
% 5.54/4.40 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s120) | xuntil2p30(s120) | (~until2p29(s120)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s120) | xuntil2p30(s120) | (~until2p29(s120)))),
% 5.54/4.40 inference(rewrite,[status(thm)],[])).
% 5.54/4.40 tff(21644,plain,
% 5.54/4.40 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s120) | xuntil2p30(s120) | (~until2p29(s120)))),
% 5.54/4.40 inference(quant_inst,[status(thm)],[])).
% 5.54/4.40 tff(21645,plain,
% 5.54/4.40 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s120) | xuntil2p30(s120) | (~until2p29(s120))),
% 5.54/4.40 inference(modus_ponens,[status(thm)],[21644, 21643])).
% 5.54/4.40 tff(21646,plain,
% 5.54/4.40 (xuntil2p30(s120) | (~until2p29(s120))),
% 5.54/4.40 inference(unit_resolution,[status(thm)],[21645, 20793, 19627])).
% 5.54/4.40 tff(21647,plain,
% 5.54/4.40 (~until2p29(s120)),
% 5.54/4.40 inference(unit_resolution,[status(thm)],[21646, 21642])).
% 5.54/4.40 tff(21648,plain,
% 5.54/4.40 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s119, s120)) | until2p29(s120) | (~xuntil2p30(s119)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s119, s120)) | until2p29(s120) | (~xuntil2p30(s119)))),
% 5.54/4.40 inference(rewrite,[status(thm)],[])).
% 5.54/4.40 tff(21649,plain,
% 5.54/4.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s119, s120)) | until2p29(s120) | (~xuntil2p30(s119)))),
% 5.54/4.40 inference(quant_inst,[status(thm)],[])).
% 5.54/4.40 tff(21650,plain,
% 5.54/4.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s119, s120)) | until2p29(s120) | (~xuntil2p30(s119))),
% 5.54/4.40 inference(modus_ponens,[status(thm)],[21649, 21648])).
% 5.54/4.40 tff(21651,plain,
% 5.54/4.40 (until2p29(s120) | (~xuntil2p30(s119))),
% 5.54/4.40 inference(unit_resolution,[status(thm)],[21650, 9835, 20808])).
% 5.54/4.40 tff(21652,plain,
% 5.54/4.40 (~xuntil2p30(s119)),
% 5.54/4.40 inference(unit_resolution,[status(thm)],[21651, 21647])).
% 5.54/4.40 tff(21653,plain,
% 5.54/4.40 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s119) | xuntil2p30(s119) | (~until2p29(s119)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s119) | xuntil2p30(s119) | (~until2p29(s119)))),
% 5.54/4.40 inference(rewrite,[status(thm)],[])).
% 5.54/4.40 tff(21654,plain,
% 5.54/4.40 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s119) | xuntil2p30(s119) | (~until2p29(s119)))),
% 5.54/4.40 inference(quant_inst,[status(thm)],[])).
% 5.54/4.40 tff(21655,plain,
% 5.54/4.40 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s119) | xuntil2p30(s119) | (~until2p29(s119))),
% 5.54/4.40 inference(modus_ponens,[status(thm)],[21654, 21653])).
% 5.54/4.40 tff(21656,plain,
% 5.54/4.40 (xuntil2p30(s119) | (~until2p29(s119))),
% 5.54/4.40 inference(unit_resolution,[status(thm)],[21655, 20793, 17120])).
% 5.54/4.40 tff(21657,plain,
% 5.54/4.40 (~until2p29(s119)),
% 5.54/4.40 inference(unit_resolution,[status(thm)],[21656, 21652])).
% 5.54/4.40 tff(21658,plain,
% 5.54/4.40 (^[Y: $i, X: $i] : refl(((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y)) <=> ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y)))),
% 5.54/4.40 inference(bind,[status(th)],[])).
% 5.54/4.40 tff(21659,plain,
% 5.54/4.40 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))),
% 5.54/4.40 inference(quant_intro,[status(thm)],[21658])).
% 5.54/4.40 tff(21660,plain,
% 5.54/4.40 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))),
% 5.54/4.40 inference(rewrite,[status(thm)],[])).
% 5.54/4.40 tff(21661,plain,
% 5.54/4.40 (^[Y: $i, X: $i] : trans(monotonicity(rewrite(((until2p29(Y) | (~trans(X, Y))) | (~last(X))) <=> ((~trans(X, Y)) | (~last(X)) | until2p29(Y))), ((((until2p29(Y) | (~trans(X, Y))) | (~last(X))) | (~xuntil28(X))) <=> (((~trans(X, Y)) | (~last(X)) | until2p29(Y)) | (~xuntil28(X))))), rewrite((((~trans(X, Y)) | (~last(X)) | until2p29(Y)) | (~xuntil28(X))) <=> ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))), ((((until2p29(Y) | (~trans(X, Y))) | (~last(X))) | (~xuntil28(X))) <=> ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))))),
% 5.54/4.40 inference(bind,[status(th)],[])).
% 5.54/4.40 tff(21662,plain,
% 5.54/4.40 (![Y: $i, X: $i] : (((until2p29(Y) | (~trans(X, Y))) | (~last(X))) | (~xuntil28(X))) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))),
% 5.54/4.40 inference(quant_intro,[status(thm)],[21661])).
% 5.54/4.40 tff(21663,axiom,(![Y: $i, X: $i] : (((until2p29(Y) | (~trans(X, Y))) | (~last(X))) | (~xuntil28(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty22')).
% 5.54/4.40 tff(21664,plain,
% 5.54/4.40 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))),
% 5.54/4.40 inference(modus_ponens,[status(thm)],[21663, 21662])).
% 5.54/4.40 tff(21665,plain,
% 5.54/4.40 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))),
% 5.54/4.40 inference(modus_ponens,[status(thm)],[21664, 21660])).
% 5.54/4.40 tff(21666,plain,(
% 5.54/4.40 ![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))),
% 5.54/4.40 inference(skolemize,[status(sab)],[21665])).
% 5.54/4.40 tff(21667,plain,
% 5.54/4.40 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))),
% 5.54/4.40 inference(modus_ponens,[status(thm)],[21666, 21659])).
% 5.54/4.40 tff(21668,assumption,(trans(s204, s174)), introduced(assumption)).
% 5.54/4.40 tff(21669,plain,
% 5.54/4.40 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s174) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s174)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s174) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s174)))),
% 5.54/4.40 inference(rewrite,[status(thm)],[])).
% 5.54/4.40 tff(21670,plain,
% 5.54/4.40 (((~trans(s204, s174)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s174)) <=> (until2p29(s174) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s174)))),
% 5.54/4.40 inference(rewrite,[status(thm)],[])).
% 5.54/4.40 tff(21671,plain,
% 5.54/4.40 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s174)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s174))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s174) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s174))))),
% 5.54/4.40 inference(monotonicity,[status(thm)],[21670])).
% 5.54/4.40 tff(21672,plain,
% 5.54/4.40 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s174)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s174))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s174) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s174)))),
% 5.54/4.40 inference(transitivity,[status(thm)],[21671, 21669])).
% 5.54/4.40 tff(21673,plain,
% 5.54/4.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s174)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s174))),
% 5.54/4.40 inference(quant_inst,[status(thm)],[])).
% 5.54/4.40 tff(21674,plain,
% 5.54/4.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s174) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s174))),
% 5.54/4.40 inference(modus_ponens,[status(thm)],[21673, 21672])).
% 5.54/4.40 tff(21675,plain,
% 5.54/4.40 ($false),
% 5.54/4.40 inference(unit_resolution,[status(thm)],[21674, 20779, 21668, 21667, 21107, 20769])).
% 5.54/4.40 tff(21676,plain,(~trans(s204, s174)), inference(lemma,lemma(discharge,[]))).
% 5.54/4.40 tff(21677,plain,
% 5.54/4.40 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s118, s119)) | until2p29(s119) | (~xuntil2p30(s118)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s118, s119)) | until2p29(s119) | (~xuntil2p30(s118)))),
% 5.54/4.40 inference(rewrite,[status(thm)],[])).
% 5.54/4.40 tff(21678,plain,
% 5.54/4.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s118, s119)) | until2p29(s119) | (~xuntil2p30(s118)))),
% 5.54/4.40 inference(quant_inst,[status(thm)],[])).
% 5.54/4.40 tff(21679,plain,
% 5.54/4.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s118, s119)) | until2p29(s119) | (~xuntil2p30(s118))),
% 5.54/4.40 inference(modus_ponens,[status(thm)],[21678, 21677])).
% 5.54/4.40 tff(21680,plain,
% 5.54/4.40 (until2p29(s119) | (~xuntil2p30(s118))),
% 5.54/4.40 inference(unit_resolution,[status(thm)],[21679, 9760, 20808])).
% 5.54/4.40 tff(21681,plain,
% 5.54/4.40 (~xuntil2p30(s118)),
% 5.54/4.40 inference(unit_resolution,[status(thm)],[21680, 21657])).
% 5.54/4.40 tff(21682,plain,
% 5.54/4.40 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s118) | xuntil2p30(s118) | (~until2p29(s118)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s118) | xuntil2p30(s118) | (~until2p29(s118)))),
% 5.54/4.40 inference(rewrite,[status(thm)],[])).
% 5.54/4.40 tff(21683,plain,
% 5.54/4.40 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s118) | xuntil2p30(s118) | (~until2p29(s118)))),
% 5.54/4.40 inference(quant_inst,[status(thm)],[])).
% 5.54/4.40 tff(21684,plain,
% 5.54/4.40 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s118) | xuntil2p30(s118) | (~until2p29(s118))),
% 5.54/4.40 inference(modus_ponens,[status(thm)],[21683, 21682])).
% 5.54/4.40 tff(21685,plain,
% 5.54/4.40 (xuntil2p30(s118) | (~until2p29(s118))),
% 5.54/4.40 inference(unit_resolution,[status(thm)],[21684, 20793, 17129])).
% 5.54/4.40 tff(21686,plain,
% 5.54/4.40 (~until2p29(s118)),
% 5.54/4.40 inference(unit_resolution,[status(thm)],[21685, 21681])).
% 5.54/4.40 tff(21687,plain,
% 5.54/4.40 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s117, s118)) | until2p29(s118) | (~xuntil2p30(s117)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s117, s118)) | until2p29(s118) | (~xuntil2p30(s117)))),
% 5.54/4.40 inference(rewrite,[status(thm)],[])).
% 5.54/4.40 tff(21688,plain,
% 5.54/4.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s117, s118)) | until2p29(s118) | (~xuntil2p30(s117)))),
% 5.54/4.40 inference(quant_inst,[status(thm)],[])).
% 5.54/4.40 tff(21689,plain,
% 5.54/4.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s117, s118)) | until2p29(s118) | (~xuntil2p30(s117))),
% 5.54/4.40 inference(modus_ponens,[status(thm)],[21688, 21687])).
% 5.54/4.40 tff(21690,plain,
% 5.54/4.40 (until2p29(s118) | (~xuntil2p30(s117))),
% 5.54/4.40 inference(unit_resolution,[status(thm)],[21689, 9696, 20808])).
% 5.54/4.40 tff(21691,plain,
% 5.54/4.40 (~xuntil2p30(s117)),
% 5.54/4.40 inference(unit_resolution,[status(thm)],[21690, 21686])).
% 5.54/4.40 tff(21692,plain,
% 5.54/4.40 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s117) | xuntil2p30(s117) | (~until2p29(s117)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s117) | xuntil2p30(s117) | (~until2p29(s117)))),
% 5.54/4.40 inference(rewrite,[status(thm)],[])).
% 5.54/4.40 tff(21693,plain,
% 5.54/4.40 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s117) | xuntil2p30(s117) | (~until2p29(s117)))),
% 5.54/4.40 inference(quant_inst,[status(thm)],[])).
% 5.54/4.40 tff(21694,plain,
% 5.54/4.40 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s117) | xuntil2p30(s117) | (~until2p29(s117))),
% 5.54/4.40 inference(modus_ponens,[status(thm)],[21693, 21692])).
% 5.54/4.40 tff(21695,plain,
% 5.54/4.40 (xuntil2p30(s117) | (~until2p29(s117))),
% 5.54/4.40 inference(unit_resolution,[status(thm)],[21694, 20793, 17133])).
% 5.54/4.40 tff(21696,plain,
% 5.54/4.40 (~until2p29(s117)),
% 5.54/4.40 inference(unit_resolution,[status(thm)],[21695, 21691])).
% 5.54/4.40 tff(21697,plain,
% 5.54/4.40 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s116, s117)) | until2p29(s117) | (~xuntil2p30(s116)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s116, s117)) | until2p29(s117) | (~xuntil2p30(s116)))),
% 5.54/4.40 inference(rewrite,[status(thm)],[])).
% 5.54/4.40 tff(21698,plain,
% 5.54/4.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s116, s117)) | until2p29(s117) | (~xuntil2p30(s116)))),
% 5.54/4.40 inference(quant_inst,[status(thm)],[])).
% 5.54/4.40 tff(21699,plain,
% 5.54/4.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s116, s117)) | until2p29(s117) | (~xuntil2p30(s116))),
% 5.54/4.40 inference(modus_ponens,[status(thm)],[21698, 21697])).
% 5.54/4.40 tff(21700,plain,
% 5.54/4.40 (until2p29(s117) | (~xuntil2p30(s116))),
% 5.54/4.40 inference(unit_resolution,[status(thm)],[21699, 9601, 20808])).
% 5.54/4.40 tff(21701,plain,
% 5.54/4.40 (~xuntil2p30(s116)),
% 5.54/4.40 inference(unit_resolution,[status(thm)],[21700, 21696])).
% 5.54/4.40 tff(21702,plain,
% 5.54/4.40 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s116) | xuntil2p30(s116) | (~until2p29(s116)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s116) | xuntil2p30(s116) | (~until2p29(s116)))),
% 5.54/4.40 inference(rewrite,[status(thm)],[])).
% 5.54/4.40 tff(21703,plain,
% 5.54/4.40 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s116) | xuntil2p30(s116) | (~until2p29(s116)))),
% 5.54/4.40 inference(quant_inst,[status(thm)],[])).
% 5.54/4.40 tff(21704,plain,
% 5.54/4.40 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s116) | xuntil2p30(s116) | (~until2p29(s116))),
% 5.54/4.40 inference(modus_ponens,[status(thm)],[21703, 21702])).
% 5.54/4.40 tff(21705,plain,
% 5.54/4.40 (xuntil2p30(s116) | (~until2p29(s116))),
% 5.54/4.40 inference(unit_resolution,[status(thm)],[21704, 20793, 19573])).
% 5.54/4.40 tff(21706,plain,
% 5.54/4.40 (~until2p29(s116)),
% 5.54/4.40 inference(unit_resolution,[status(thm)],[21705, 21701])).
% 5.54/4.40 tff(21707,plain,
% 5.54/4.40 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s115, s116)) | until2p29(s116) | (~xuntil2p30(s115)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s115, s116)) | until2p29(s116) | (~xuntil2p30(s115)))),
% 5.54/4.40 inference(rewrite,[status(thm)],[])).
% 5.54/4.40 tff(21708,plain,
% 5.54/4.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s115, s116)) | until2p29(s116) | (~xuntil2p30(s115)))),
% 5.54/4.40 inference(quant_inst,[status(thm)],[])).
% 5.54/4.40 tff(21709,plain,
% 5.54/4.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s115, s116)) | until2p29(s116) | (~xuntil2p30(s115))),
% 5.54/4.40 inference(modus_ponens,[status(thm)],[21708, 21707])).
% 5.54/4.40 tff(21710,plain,
% 5.54/4.40 (until2p29(s116) | (~xuntil2p30(s115))),
% 5.54/4.40 inference(unit_resolution,[status(thm)],[21709, 9540, 20808])).
% 5.54/4.40 tff(21711,plain,
% 5.54/4.40 (~xuntil2p30(s115)),
% 5.54/4.40 inference(unit_resolution,[status(thm)],[21710, 21706])).
% 5.54/4.40 tff(21712,plain,
% 5.54/4.40 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s115) | xuntil2p30(s115) | (~until2p29(s115)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s115) | xuntil2p30(s115) | (~until2p29(s115)))),
% 5.54/4.40 inference(rewrite,[status(thm)],[])).
% 5.54/4.40 tff(21713,plain,
% 5.54/4.40 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s115) | xuntil2p30(s115) | (~until2p29(s115)))),
% 5.54/4.40 inference(quant_inst,[status(thm)],[])).
% 5.54/4.40 tff(21714,plain,
% 5.54/4.40 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s115) | xuntil2p30(s115) | (~until2p29(s115))),
% 5.54/4.40 inference(modus_ponens,[status(thm)],[21713, 21712])).
% 5.54/4.40 tff(21715,plain,
% 5.54/4.40 (xuntil2p30(s115) | (~until2p29(s115))),
% 5.54/4.40 inference(unit_resolution,[status(thm)],[21714, 20793, 17149])).
% 5.54/4.40 tff(21716,plain,
% 5.54/4.40 (~until2p29(s115)),
% 5.54/4.40 inference(unit_resolution,[status(thm)],[21715, 21711])).
% 5.54/4.40 tff(21717,plain,
% 5.54/4.40 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s114, s115)) | until2p29(s115) | (~xuntil2p30(s114)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s114, s115)) | until2p29(s115) | (~xuntil2p30(s114)))),
% 5.54/4.40 inference(rewrite,[status(thm)],[])).
% 5.54/4.40 tff(21718,plain,
% 5.54/4.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s114, s115)) | until2p29(s115) | (~xuntil2p30(s114)))),
% 5.54/4.40 inference(quant_inst,[status(thm)],[])).
% 5.54/4.40 tff(21719,plain,
% 5.54/4.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s114, s115)) | until2p29(s115) | (~xuntil2p30(s114))),
% 5.54/4.40 inference(modus_ponens,[status(thm)],[21718, 21717])).
% 5.54/4.40 tff(21720,plain,
% 5.54/4.40 (until2p29(s115) | (~xuntil2p30(s114))),
% 5.54/4.40 inference(unit_resolution,[status(thm)],[21719, 9462, 20808])).
% 5.54/4.40 tff(21721,plain,
% 5.54/4.40 (~xuntil2p30(s114)),
% 5.54/4.40 inference(unit_resolution,[status(thm)],[21720, 21716])).
% 5.54/4.40 tff(21722,plain,
% 5.54/4.40 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s114) | xuntil2p30(s114) | (~until2p29(s114)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s114) | xuntil2p30(s114) | (~until2p29(s114)))),
% 5.54/4.40 inference(rewrite,[status(thm)],[])).
% 5.54/4.40 tff(21723,plain,
% 5.54/4.40 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s114) | xuntil2p30(s114) | (~until2p29(s114)))),
% 5.54/4.40 inference(quant_inst,[status(thm)],[])).
% 5.54/4.40 tff(21724,plain,
% 5.54/4.40 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s114) | xuntil2p30(s114) | (~until2p29(s114))),
% 5.54/4.40 inference(modus_ponens,[status(thm)],[21723, 21722])).
% 5.54/4.40 tff(21725,plain,
% 5.54/4.40 (xuntil2p30(s114) | (~until2p29(s114))),
% 5.54/4.40 inference(unit_resolution,[status(thm)],[21724, 20793, 17158])).
% 5.54/4.40 tff(21726,plain,
% 5.54/4.40 (~until2p29(s114)),
% 5.54/4.40 inference(unit_resolution,[status(thm)],[21725, 21721])).
% 5.54/4.40 tff(21727,plain,
% 5.54/4.40 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s113, s114)) | until2p29(s114) | (~xuntil2p30(s113)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s113, s114)) | until2p29(s114) | (~xuntil2p30(s113)))),
% 5.54/4.40 inference(rewrite,[status(thm)],[])).
% 5.54/4.40 tff(21728,plain,
% 5.54/4.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s113, s114)) | until2p29(s114) | (~xuntil2p30(s113)))),
% 5.54/4.40 inference(quant_inst,[status(thm)],[])).
% 5.54/4.40 tff(21729,plain,
% 5.54/4.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s113, s114)) | until2p29(s114) | (~xuntil2p30(s113))),
% 5.54/4.40 inference(modus_ponens,[status(thm)],[21728, 21727])).
% 5.54/4.40 tff(21730,plain,
% 5.54/4.40 (until2p29(s114) | (~xuntil2p30(s113))),
% 5.54/4.40 inference(unit_resolution,[status(thm)],[21729, 9363, 20808])).
% 5.54/4.40 tff(21731,plain,
% 5.54/4.40 (~xuntil2p30(s113)),
% 5.54/4.40 inference(unit_resolution,[status(thm)],[21730, 21726])).
% 5.54/4.40 tff(21732,plain,
% 5.54/4.40 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s113) | xuntil2p30(s113) | (~until2p29(s113)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s113) | xuntil2p30(s113) | (~until2p29(s113)))),
% 5.54/4.40 inference(rewrite,[status(thm)],[])).
% 5.54/4.40 tff(21733,plain,
% 5.54/4.40 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s113) | xuntil2p30(s113) | (~until2p29(s113)))),
% 5.54/4.40 inference(quant_inst,[status(thm)],[])).
% 5.54/4.40 tff(21734,plain,
% 5.54/4.40 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s113) | xuntil2p30(s113) | (~until2p29(s113))),
% 5.54/4.40 inference(modus_ponens,[status(thm)],[21733, 21732])).
% 5.54/4.40 tff(21735,plain,
% 5.54/4.40 (xuntil2p30(s113) | (~until2p29(s113))),
% 5.54/4.40 inference(unit_resolution,[status(thm)],[21734, 20793, 17162])).
% 5.54/4.40 tff(21736,plain,
% 5.54/4.40 (~until2p29(s113)),
% 5.54/4.40 inference(unit_resolution,[status(thm)],[21735, 21731])).
% 5.54/4.40 tff(21737,plain,
% 5.54/4.40 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s112, s113)) | until2p29(s113) | (~xuntil2p30(s112)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s112, s113)) | until2p29(s113) | (~xuntil2p30(s112)))),
% 5.54/4.40 inference(rewrite,[status(thm)],[])).
% 5.54/4.40 tff(21738,plain,
% 5.54/4.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s112, s113)) | until2p29(s113) | (~xuntil2p30(s112)))),
% 5.54/4.40 inference(quant_inst,[status(thm)],[])).
% 5.54/4.40 tff(21739,plain,
% 5.54/4.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s112, s113)) | until2p29(s113) | (~xuntil2p30(s112))),
% 5.54/4.40 inference(modus_ponens,[status(thm)],[21738, 21737])).
% 5.54/4.40 tff(21740,plain,
% 5.54/4.40 (until2p29(s113) | (~xuntil2p30(s112))),
% 5.54/4.40 inference(unit_resolution,[status(thm)],[21739, 9296, 20808])).
% 5.54/4.40 tff(21741,plain,
% 5.54/4.40 (~xuntil2p30(s112)),
% 5.54/4.40 inference(unit_resolution,[status(thm)],[21740, 21736])).
% 5.54/4.40 tff(21742,plain,
% 5.54/4.40 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s112) | xuntil2p30(s112) | (~until2p29(s112)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s112) | xuntil2p30(s112) | (~until2p29(s112)))),
% 5.54/4.40 inference(rewrite,[status(thm)],[])).
% 5.54/4.40 tff(21743,plain,
% 5.54/4.40 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s112) | xuntil2p30(s112) | (~until2p29(s112)))),
% 5.54/4.40 inference(quant_inst,[status(thm)],[])).
% 5.54/4.40 tff(21744,plain,
% 5.54/4.40 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s112) | xuntil2p30(s112) | (~until2p29(s112))),
% 5.54/4.40 inference(modus_ponens,[status(thm)],[21743, 21742])).
% 5.54/4.40 tff(21745,plain,
% 5.54/4.40 (xuntil2p30(s112) | (~until2p29(s112))),
% 5.54/4.40 inference(unit_resolution,[status(thm)],[21744, 20793, 19519])).
% 5.54/4.40 tff(21746,plain,
% 5.54/4.40 (~until2p29(s112)),
% 5.54/4.40 inference(unit_resolution,[status(thm)],[21745, 21741])).
% 5.54/4.40 tff(21747,plain,
% 5.54/4.40 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s111, s112)) | until2p29(s112) | (~xuntil2p30(s111)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s111, s112)) | until2p29(s112) | (~xuntil2p30(s111)))),
% 5.54/4.40 inference(rewrite,[status(thm)],[])).
% 5.54/4.40 tff(21748,plain,
% 5.54/4.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s111, s112)) | until2p29(s112) | (~xuntil2p30(s111)))),
% 5.54/4.40 inference(quant_inst,[status(thm)],[])).
% 5.54/4.40 tff(21749,plain,
% 5.54/4.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s111, s112)) | until2p29(s112) | (~xuntil2p30(s111))),
% 5.54/4.40 inference(modus_ponens,[status(thm)],[21748, 21747])).
% 5.54/4.40 tff(21750,plain,
% 5.54/4.40 (until2p29(s112) | (~xuntil2p30(s111))),
% 5.54/4.40 inference(unit_resolution,[status(thm)],[21749, 9207, 20808])).
% 5.54/4.40 tff(21751,plain,
% 5.54/4.40 (~xuntil2p30(s111)),
% 5.54/4.40 inference(unit_resolution,[status(thm)],[21750, 21746])).
% 5.54/4.40 tff(21752,plain,
% 5.54/4.40 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s111) | xuntil2p30(s111) | (~until2p29(s111)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s111) | xuntil2p30(s111) | (~until2p29(s111)))),
% 5.54/4.40 inference(rewrite,[status(thm)],[])).
% 5.54/4.40 tff(21753,plain,
% 5.54/4.40 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s111) | xuntil2p30(s111) | (~until2p29(s111)))),
% 5.54/4.40 inference(quant_inst,[status(thm)],[])).
% 5.54/4.40 tff(21754,plain,
% 5.54/4.40 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s111) | xuntil2p30(s111) | (~until2p29(s111))),
% 5.54/4.40 inference(modus_ponens,[status(thm)],[21753, 21752])).
% 5.54/4.40 tff(21755,plain,
% 5.54/4.40 (xuntil2p30(s111) | (~until2p29(s111))),
% 5.54/4.40 inference(unit_resolution,[status(thm)],[21754, 20793, 17178])).
% 5.54/4.40 tff(21756,plain,
% 5.54/4.40 (~until2p29(s111)),
% 5.54/4.40 inference(unit_resolution,[status(thm)],[21755, 21751])).
% 5.54/4.40 tff(21757,plain,
% 5.54/4.40 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s110, s111)) | until2p29(s111) | (~xuntil2p30(s110)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s110, s111)) | until2p29(s111) | (~xuntil2p30(s110)))),
% 5.54/4.40 inference(rewrite,[status(thm)],[])).
% 5.54/4.40 tff(21758,plain,
% 5.54/4.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s110, s111)) | until2p29(s111) | (~xuntil2p30(s110)))),
% 5.54/4.40 inference(quant_inst,[status(thm)],[])).
% 5.54/4.40 tff(21759,plain,
% 5.54/4.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s110, s111)) | until2p29(s111) | (~xuntil2p30(s110))),
% 5.54/4.40 inference(modus_ponens,[status(thm)],[21758, 21757])).
% 5.54/4.40 tff(21760,plain,
% 5.54/4.40 (until2p29(s111) | (~xuntil2p30(s110))),
% 5.54/4.40 inference(unit_resolution,[status(thm)],[21759, 9132, 20808])).
% 5.54/4.40 tff(21761,plain,
% 5.54/4.40 (~xuntil2p30(s110)),
% 5.54/4.40 inference(unit_resolution,[status(thm)],[21760, 21756])).
% 5.54/4.40 tff(21762,plain,
% 5.54/4.40 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s110) | xuntil2p30(s110) | (~until2p29(s110)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s110) | xuntil2p30(s110) | (~until2p29(s110)))),
% 5.54/4.40 inference(rewrite,[status(thm)],[])).
% 5.54/4.40 tff(21763,plain,
% 5.54/4.40 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s110) | xuntil2p30(s110) | (~until2p29(s110)))),
% 5.54/4.40 inference(quant_inst,[status(thm)],[])).
% 5.54/4.40 tff(21764,plain,
% 5.54/4.40 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s110) | xuntil2p30(s110) | (~until2p29(s110))),
% 5.54/4.40 inference(modus_ponens,[status(thm)],[21763, 21762])).
% 5.54/4.40 tff(21765,plain,
% 5.54/4.40 (xuntil2p30(s110) | (~until2p29(s110))),
% 5.54/4.40 inference(unit_resolution,[status(thm)],[21764, 20793, 17187])).
% 5.54/4.40 tff(21766,plain,
% 5.54/4.40 (~until2p29(s110)),
% 5.54/4.40 inference(unit_resolution,[status(thm)],[21765, 21761])).
% 5.54/4.40 tff(21767,plain,
% 5.54/4.40 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s109, s110)) | until2p29(s110) | (~xuntil2p30(s109)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s109, s110)) | until2p29(s110) | (~xuntil2p30(s109)))),
% 5.54/4.40 inference(rewrite,[status(thm)],[])).
% 5.54/4.40 tff(21768,plain,
% 5.54/4.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s109, s110)) | until2p29(s110) | (~xuntil2p30(s109)))),
% 5.54/4.40 inference(quant_inst,[status(thm)],[])).
% 5.54/4.40 tff(21769,plain,
% 5.54/4.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s109, s110)) | until2p29(s110) | (~xuntil2p30(s109))),
% 5.54/4.40 inference(modus_ponens,[status(thm)],[21768, 21767])).
% 5.54/4.40 tff(21770,plain,
% 5.54/4.40 (until2p29(s110) | (~xuntil2p30(s109))),
% 5.54/4.40 inference(unit_resolution,[status(thm)],[21769, 9068, 20808])).
% 5.54/4.40 tff(21771,plain,
% 5.54/4.40 (~xuntil2p30(s109)),
% 5.54/4.40 inference(unit_resolution,[status(thm)],[21770, 21766])).
% 5.54/4.40 tff(21772,plain,
% 5.54/4.40 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s109) | xuntil2p30(s109) | (~until2p29(s109)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s109) | xuntil2p30(s109) | (~until2p29(s109)))),
% 5.54/4.40 inference(rewrite,[status(thm)],[])).
% 5.54/4.40 tff(21773,plain,
% 5.54/4.40 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s109) | xuntil2p30(s109) | (~until2p29(s109)))),
% 5.54/4.40 inference(quant_inst,[status(thm)],[])).
% 5.54/4.40 tff(21774,plain,
% 5.54/4.40 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s109) | xuntil2p30(s109) | (~until2p29(s109))),
% 5.54/4.40 inference(modus_ponens,[status(thm)],[21773, 21772])).
% 5.54/4.40 tff(21775,plain,
% 5.54/4.40 (xuntil2p30(s109) | (~until2p29(s109))),
% 5.54/4.40 inference(unit_resolution,[status(thm)],[21774, 20793, 17191])).
% 5.54/4.40 tff(21776,plain,
% 5.54/4.40 (~until2p29(s109)),
% 5.54/4.40 inference(unit_resolution,[status(thm)],[21775, 21771])).
% 5.54/4.40 tff(21777,plain,
% 5.54/4.40 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s108, s109)) | until2p29(s109) | (~xuntil2p30(s108)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s108, s109)) | until2p29(s109) | (~xuntil2p30(s108)))),
% 5.54/4.40 inference(rewrite,[status(thm)],[])).
% 5.54/4.40 tff(21778,plain,
% 5.54/4.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s108, s109)) | until2p29(s109) | (~xuntil2p30(s108)))),
% 5.54/4.40 inference(quant_inst,[status(thm)],[])).
% 5.54/4.40 tff(21779,plain,
% 5.54/4.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s108, s109)) | until2p29(s109) | (~xuntil2p30(s108))),
% 5.54/4.40 inference(modus_ponens,[status(thm)],[21778, 21777])).
% 5.54/4.40 tff(21780,plain,
% 5.54/4.40 (until2p29(s109) | (~xuntil2p30(s108))),
% 5.54/4.40 inference(unit_resolution,[status(thm)],[21779, 8973, 20808])).
% 5.54/4.40 tff(21781,plain,
% 5.54/4.40 (~xuntil2p30(s108)),
% 5.54/4.40 inference(unit_resolution,[status(thm)],[21780, 21776])).
% 5.54/4.40 tff(21782,plain,
% 5.54/4.40 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s108) | xuntil2p30(s108) | (~until2p29(s108)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s108) | xuntil2p30(s108) | (~until2p29(s108)))),
% 5.54/4.40 inference(rewrite,[status(thm)],[])).
% 5.54/4.40 tff(21783,plain,
% 5.54/4.40 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s108) | xuntil2p30(s108) | (~until2p29(s108)))),
% 5.54/4.40 inference(quant_inst,[status(thm)],[])).
% 5.54/4.40 tff(21784,plain,
% 5.54/4.40 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s108) | xuntil2p30(s108) | (~until2p29(s108))),
% 5.54/4.41 inference(modus_ponens,[status(thm)],[21783, 21782])).
% 5.54/4.41 tff(21785,plain,
% 5.54/4.41 (xuntil2p30(s108) | (~until2p29(s108))),
% 5.54/4.41 inference(unit_resolution,[status(thm)],[21784, 20793, 19465])).
% 5.54/4.41 tff(21786,plain,
% 5.54/4.41 (~until2p29(s108)),
% 5.54/4.41 inference(unit_resolution,[status(thm)],[21785, 21781])).
% 5.54/4.41 tff(21787,plain,
% 5.54/4.41 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s107, s108)) | until2p29(s108) | (~xuntil2p30(s107)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s107, s108)) | until2p29(s108) | (~xuntil2p30(s107)))),
% 5.54/4.41 inference(rewrite,[status(thm)],[])).
% 5.54/4.41 tff(21788,plain,
% 5.54/4.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s107, s108)) | until2p29(s108) | (~xuntil2p30(s107)))),
% 5.54/4.41 inference(quant_inst,[status(thm)],[])).
% 5.54/4.41 tff(21789,plain,
% 5.54/4.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s107, s108)) | until2p29(s108) | (~xuntil2p30(s107))),
% 5.54/4.41 inference(modus_ponens,[status(thm)],[21788, 21787])).
% 5.54/4.41 tff(21790,plain,
% 5.54/4.41 (until2p29(s108) | (~xuntil2p30(s107))),
% 5.54/4.41 inference(unit_resolution,[status(thm)],[21789, 8912, 20808])).
% 5.54/4.41 tff(21791,plain,
% 5.54/4.41 (~xuntil2p30(s107)),
% 5.54/4.41 inference(unit_resolution,[status(thm)],[21790, 21786])).
% 5.54/4.41 tff(21792,plain,
% 5.54/4.41 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s107) | xuntil2p30(s107) | (~until2p29(s107)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s107) | xuntil2p30(s107) | (~until2p29(s107)))),
% 5.54/4.41 inference(rewrite,[status(thm)],[])).
% 5.54/4.41 tff(21793,plain,
% 5.54/4.41 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s107) | xuntil2p30(s107) | (~until2p29(s107)))),
% 5.54/4.41 inference(quant_inst,[status(thm)],[])).
% 5.54/4.41 tff(21794,plain,
% 5.54/4.41 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s107) | xuntil2p30(s107) | (~until2p29(s107))),
% 5.54/4.41 inference(modus_ponens,[status(thm)],[21793, 21792])).
% 5.54/4.41 tff(21795,plain,
% 5.54/4.41 (xuntil2p30(s107) | (~until2p29(s107))),
% 5.54/4.41 inference(unit_resolution,[status(thm)],[21794, 20793, 17207])).
% 5.54/4.41 tff(21796,plain,
% 5.54/4.41 (~until2p29(s107)),
% 5.54/4.41 inference(unit_resolution,[status(thm)],[21795, 21791])).
% 5.54/4.41 tff(21797,plain,
% 5.54/4.41 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s106, s107)) | until2p29(s107) | (~xuntil2p30(s106)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s106, s107)) | until2p29(s107) | (~xuntil2p30(s106)))),
% 5.54/4.41 inference(rewrite,[status(thm)],[])).
% 5.54/4.41 tff(21798,plain,
% 5.54/4.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s106, s107)) | until2p29(s107) | (~xuntil2p30(s106)))),
% 5.54/4.41 inference(quant_inst,[status(thm)],[])).
% 5.54/4.41 tff(21799,plain,
% 5.54/4.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s106, s107)) | until2p29(s107) | (~xuntil2p30(s106))),
% 5.54/4.41 inference(modus_ponens,[status(thm)],[21798, 21797])).
% 5.54/4.41 tff(21800,plain,
% 5.54/4.41 (until2p29(s107) | (~xuntil2p30(s106))),
% 5.54/4.41 inference(unit_resolution,[status(thm)],[21799, 8834, 20808])).
% 5.54/4.41 tff(21801,plain,
% 5.54/4.41 (~xuntil2p30(s106)),
% 5.54/4.41 inference(unit_resolution,[status(thm)],[21800, 21796])).
% 5.54/4.41 tff(21802,plain,
% 5.54/4.41 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s106) | xuntil2p30(s106) | (~until2p29(s106)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s106) | xuntil2p30(s106) | (~until2p29(s106)))),
% 5.54/4.41 inference(rewrite,[status(thm)],[])).
% 5.54/4.41 tff(21803,plain,
% 5.54/4.41 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s106) | xuntil2p30(s106) | (~until2p29(s106)))),
% 5.54/4.41 inference(quant_inst,[status(thm)],[])).
% 5.54/4.41 tff(21804,plain,
% 5.54/4.41 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s106) | xuntil2p30(s106) | (~until2p29(s106))),
% 5.54/4.41 inference(modus_ponens,[status(thm)],[21803, 21802])).
% 5.54/4.41 tff(21805,plain,
% 5.54/4.41 (xuntil2p30(s106) | (~until2p29(s106))),
% 5.54/4.41 inference(unit_resolution,[status(thm)],[21804, 20793, 17216])).
% 5.54/4.41 tff(21806,plain,
% 5.54/4.41 (~until2p29(s106)),
% 5.54/4.41 inference(unit_resolution,[status(thm)],[21805, 21801])).
% 5.54/4.41 tff(21807,plain,
% 5.54/4.41 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s105, s106)) | until2p29(s106) | (~xuntil2p30(s105)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s105, s106)) | until2p29(s106) | (~xuntil2p30(s105)))),
% 5.54/4.41 inference(rewrite,[status(thm)],[])).
% 5.54/4.41 tff(21808,plain,
% 5.54/4.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s105, s106)) | until2p29(s106) | (~xuntil2p30(s105)))),
% 5.54/4.41 inference(quant_inst,[status(thm)],[])).
% 5.54/4.41 tff(21809,plain,
% 5.54/4.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s105, s106)) | until2p29(s106) | (~xuntil2p30(s105))),
% 5.54/4.41 inference(modus_ponens,[status(thm)],[21808, 21807])).
% 5.54/4.41 tff(21810,plain,
% 5.54/4.41 (until2p29(s106) | (~xuntil2p30(s105))),
% 5.54/4.41 inference(unit_resolution,[status(thm)],[21809, 8735, 20808])).
% 5.54/4.41 tff(21811,plain,
% 5.54/4.41 (~xuntil2p30(s105)),
% 5.54/4.41 inference(unit_resolution,[status(thm)],[21810, 21806])).
% 5.54/4.41 tff(21812,plain,
% 5.54/4.41 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s105) | xuntil2p30(s105) | (~until2p29(s105)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s105) | xuntil2p30(s105) | (~until2p29(s105)))),
% 5.54/4.41 inference(rewrite,[status(thm)],[])).
% 5.54/4.41 tff(21813,plain,
% 5.54/4.41 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s105) | xuntil2p30(s105) | (~until2p29(s105)))),
% 5.54/4.41 inference(quant_inst,[status(thm)],[])).
% 5.54/4.41 tff(21814,plain,
% 5.54/4.41 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s105) | xuntil2p30(s105) | (~until2p29(s105))),
% 5.54/4.41 inference(modus_ponens,[status(thm)],[21813, 21812])).
% 5.54/4.41 tff(21815,plain,
% 5.54/4.41 (xuntil2p30(s105) | (~until2p29(s105))),
% 5.54/4.41 inference(unit_resolution,[status(thm)],[21814, 20793, 17220])).
% 5.54/4.41 tff(21816,plain,
% 5.54/4.41 (~until2p29(s105)),
% 5.54/4.41 inference(unit_resolution,[status(thm)],[21815, 21811])).
% 5.54/4.41 tff(21817,plain,
% 5.54/4.41 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s104, s105)) | until2p29(s105) | (~xuntil2p30(s104)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s104, s105)) | until2p29(s105) | (~xuntil2p30(s104)))),
% 5.54/4.41 inference(rewrite,[status(thm)],[])).
% 5.54/4.41 tff(21818,plain,
% 5.54/4.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s104, s105)) | until2p29(s105) | (~xuntil2p30(s104)))),
% 5.54/4.41 inference(quant_inst,[status(thm)],[])).
% 5.54/4.41 tff(21819,plain,
% 5.54/4.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s104, s105)) | until2p29(s105) | (~xuntil2p30(s104))),
% 5.54/4.41 inference(modus_ponens,[status(thm)],[21818, 21817])).
% 5.54/4.41 tff(21820,plain,
% 5.54/4.41 (until2p29(s105) | (~xuntil2p30(s104))),
% 5.54/4.41 inference(unit_resolution,[status(thm)],[21819, 8668, 20808])).
% 5.54/4.41 tff(21821,plain,
% 5.54/4.41 (~xuntil2p30(s104)),
% 5.54/4.41 inference(unit_resolution,[status(thm)],[21820, 21816])).
% 5.54/4.41 tff(21822,plain,
% 5.54/4.41 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s104) | xuntil2p30(s104) | (~until2p29(s104)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s104) | xuntil2p30(s104) | (~until2p29(s104)))),
% 5.54/4.41 inference(rewrite,[status(thm)],[])).
% 5.54/4.41 tff(21823,plain,
% 5.54/4.41 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s104) | xuntil2p30(s104) | (~until2p29(s104)))),
% 5.54/4.41 inference(quant_inst,[status(thm)],[])).
% 5.54/4.41 tff(21824,plain,
% 5.54/4.41 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s104) | xuntil2p30(s104) | (~until2p29(s104))),
% 5.54/4.41 inference(modus_ponens,[status(thm)],[21823, 21822])).
% 5.54/4.41 tff(21825,plain,
% 5.54/4.41 (xuntil2p30(s104) | (~until2p29(s104))),
% 5.54/4.41 inference(unit_resolution,[status(thm)],[21824, 20793, 19411])).
% 5.54/4.41 tff(21826,plain,
% 5.54/4.41 (~until2p29(s104)),
% 5.54/4.41 inference(unit_resolution,[status(thm)],[21825, 21821])).
% 5.54/4.41 tff(21827,assumption,(trans(s204, s104)), introduced(assumption)).
% 5.54/4.41 tff(21828,plain,
% 5.54/4.41 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s104) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s104)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s104) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s104)))),
% 5.54/4.41 inference(rewrite,[status(thm)],[])).
% 5.54/4.41 tff(21829,plain,
% 5.54/4.41 (((~trans(s204, s104)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s104)) <=> (until2p29(s104) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s104)))),
% 5.54/4.41 inference(rewrite,[status(thm)],[])).
% 5.54/4.41 tff(21830,plain,
% 5.54/4.41 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s104)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s104))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s104) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s104))))),
% 5.54/4.41 inference(monotonicity,[status(thm)],[21829])).
% 5.54/4.41 tff(21831,plain,
% 5.54/4.41 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s104)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s104))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s104) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s104)))),
% 5.54/4.41 inference(transitivity,[status(thm)],[21830, 21828])).
% 5.54/4.41 tff(21832,plain,
% 5.54/4.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s104)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s104))),
% 5.54/4.41 inference(quant_inst,[status(thm)],[])).
% 5.54/4.41 tff(21833,plain,
% 5.54/4.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s104) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s104))),
% 5.54/4.41 inference(modus_ponens,[status(thm)],[21832, 21831])).
% 5.54/4.41 tff(21834,plain,
% 5.54/4.41 ($false),
% 5.54/4.41 inference(unit_resolution,[status(thm)],[21833, 20779, 21827, 21667, 21826, 20769])).
% 5.54/4.41 tff(21835,plain,(~trans(s204, s104)), inference(lemma,lemma(discharge,[]))).
% 5.54/4.41 tff(21836,plain,
% 5.54/4.41 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s103, s104)) | until2p29(s104) | (~xuntil2p30(s103)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s103, s104)) | until2p29(s104) | (~xuntil2p30(s103)))),
% 5.54/4.41 inference(rewrite,[status(thm)],[])).
% 5.54/4.41 tff(21837,plain,
% 5.54/4.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s103, s104)) | until2p29(s104) | (~xuntil2p30(s103)))),
% 5.54/4.41 inference(quant_inst,[status(thm)],[])).
% 5.54/4.41 tff(21838,plain,
% 5.54/4.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s103, s104)) | until2p29(s104) | (~xuntil2p30(s103))),
% 5.54/4.41 inference(modus_ponens,[status(thm)],[21837, 21836])).
% 5.54/4.41 tff(21839,plain,
% 5.54/4.41 (until2p29(s104) | (~xuntil2p30(s103))),
% 5.54/4.41 inference(unit_resolution,[status(thm)],[21838, 8579, 20808])).
% 5.54/4.41 tff(21840,plain,
% 5.54/4.41 (~xuntil2p30(s103)),
% 5.54/4.41 inference(unit_resolution,[status(thm)],[21839, 21826])).
% 5.54/4.41 tff(21841,plain,
% 5.54/4.41 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s103) | xuntil2p30(s103) | (~until2p29(s103)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s103) | xuntil2p30(s103) | (~until2p29(s103)))),
% 5.54/4.41 inference(rewrite,[status(thm)],[])).
% 5.54/4.41 tff(21842,plain,
% 5.54/4.41 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s103) | xuntil2p30(s103) | (~until2p29(s103)))),
% 5.54/4.41 inference(quant_inst,[status(thm)],[])).
% 5.54/4.41 tff(21843,plain,
% 5.54/4.41 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s103) | xuntil2p30(s103) | (~until2p29(s103))),
% 5.54/4.41 inference(modus_ponens,[status(thm)],[21842, 21841])).
% 5.54/4.41 tff(21844,plain,
% 5.54/4.41 (xuntil2p30(s103) | (~until2p29(s103))),
% 5.54/4.41 inference(unit_resolution,[status(thm)],[21843, 20793, 17236])).
% 5.54/4.41 tff(21845,plain,
% 5.54/4.41 (~until2p29(s103)),
% 5.54/4.41 inference(unit_resolution,[status(thm)],[21844, 21840])).
% 5.54/4.41 tff(21846,plain,
% 5.54/4.41 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s102, s103)) | until2p29(s103) | (~xuntil2p30(s102)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s102, s103)) | until2p29(s103) | (~xuntil2p30(s102)))),
% 5.54/4.41 inference(rewrite,[status(thm)],[])).
% 5.54/4.41 tff(21847,plain,
% 5.54/4.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s102, s103)) | until2p29(s103) | (~xuntil2p30(s102)))),
% 5.54/4.41 inference(quant_inst,[status(thm)],[])).
% 5.54/4.41 tff(21848,plain,
% 5.54/4.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s102, s103)) | until2p29(s103) | (~xuntil2p30(s102))),
% 5.54/4.41 inference(modus_ponens,[status(thm)],[21847, 21846])).
% 5.54/4.41 tff(21849,plain,
% 5.54/4.41 (until2p29(s103) | (~xuntil2p30(s102))),
% 5.54/4.41 inference(unit_resolution,[status(thm)],[21848, 8504, 20808])).
% 5.54/4.41 tff(21850,plain,
% 5.54/4.41 (~xuntil2p30(s102)),
% 5.54/4.41 inference(unit_resolution,[status(thm)],[21849, 21845])).
% 5.54/4.41 tff(21851,plain,
% 5.54/4.41 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s102) | xuntil2p30(s102) | (~until2p29(s102)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s102) | xuntil2p30(s102) | (~until2p29(s102)))),
% 5.54/4.41 inference(rewrite,[status(thm)],[])).
% 5.54/4.41 tff(21852,plain,
% 5.54/4.41 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s102) | xuntil2p30(s102) | (~until2p29(s102)))),
% 5.54/4.41 inference(quant_inst,[status(thm)],[])).
% 5.54/4.41 tff(21853,plain,
% 5.54/4.41 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s102) | xuntil2p30(s102) | (~until2p29(s102))),
% 5.54/4.41 inference(modus_ponens,[status(thm)],[21852, 21851])).
% 5.54/4.41 tff(21854,plain,
% 5.54/4.41 (xuntil2p30(s102) | (~until2p29(s102))),
% 5.54/4.41 inference(unit_resolution,[status(thm)],[21853, 20793, 17245])).
% 5.54/4.41 tff(21855,plain,
% 5.54/4.41 (~until2p29(s102)),
% 5.54/4.41 inference(unit_resolution,[status(thm)],[21854, 21850])).
% 5.54/4.41 tff(21856,plain,
% 5.54/4.41 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s101, s102)) | until2p29(s102) | (~xuntil2p30(s101)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s101, s102)) | until2p29(s102) | (~xuntil2p30(s101)))),
% 5.54/4.41 inference(rewrite,[status(thm)],[])).
% 5.54/4.41 tff(21857,plain,
% 5.54/4.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s101, s102)) | until2p29(s102) | (~xuntil2p30(s101)))),
% 5.54/4.41 inference(quant_inst,[status(thm)],[])).
% 5.54/4.41 tff(21858,plain,
% 5.54/4.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s101, s102)) | until2p29(s102) | (~xuntil2p30(s101))),
% 5.54/4.41 inference(modus_ponens,[status(thm)],[21857, 21856])).
% 5.54/4.41 tff(21859,plain,
% 5.54/4.41 (until2p29(s102) | (~xuntil2p30(s101))),
% 5.54/4.41 inference(unit_resolution,[status(thm)],[21858, 8440, 20808])).
% 5.54/4.41 tff(21860,plain,
% 5.54/4.41 (~xuntil2p30(s101)),
% 5.54/4.41 inference(unit_resolution,[status(thm)],[21859, 21855])).
% 5.54/4.41 tff(21861,plain,
% 5.54/4.41 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s101) | xuntil2p30(s101) | (~until2p29(s101)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s101) | xuntil2p30(s101) | (~until2p29(s101)))),
% 5.54/4.41 inference(rewrite,[status(thm)],[])).
% 5.54/4.41 tff(21862,plain,
% 5.54/4.41 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s101) | xuntil2p30(s101) | (~until2p29(s101)))),
% 5.54/4.41 inference(quant_inst,[status(thm)],[])).
% 5.54/4.41 tff(21863,plain,
% 5.54/4.41 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s101) | xuntil2p30(s101) | (~until2p29(s101))),
% 5.54/4.41 inference(modus_ponens,[status(thm)],[21862, 21861])).
% 5.54/4.41 tff(21864,plain,
% 5.54/4.41 (xuntil2p30(s101) | (~until2p29(s101))),
% 5.54/4.41 inference(unit_resolution,[status(thm)],[21863, 20793, 17249])).
% 5.54/4.41 tff(21865,plain,
% 5.54/4.41 (~until2p29(s101)),
% 5.54/4.41 inference(unit_resolution,[status(thm)],[21864, 21860])).
% 5.54/4.41 tff(21866,plain,
% 5.54/4.41 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s100, s101)) | until2p29(s101) | (~xuntil2p30(s100)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s100, s101)) | until2p29(s101) | (~xuntil2p30(s100)))),
% 5.54/4.41 inference(rewrite,[status(thm)],[])).
% 5.54/4.41 tff(21867,plain,
% 5.54/4.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s100, s101)) | until2p29(s101) | (~xuntil2p30(s100)))),
% 5.54/4.41 inference(quant_inst,[status(thm)],[])).
% 5.54/4.41 tff(21868,plain,
% 5.54/4.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s100, s101)) | until2p29(s101) | (~xuntil2p30(s100))),
% 5.54/4.41 inference(modus_ponens,[status(thm)],[21867, 21866])).
% 5.54/4.41 tff(21869,plain,
% 5.54/4.41 (until2p29(s101) | (~xuntil2p30(s100))),
% 5.54/4.41 inference(unit_resolution,[status(thm)],[21868, 8345, 20808])).
% 5.54/4.41 tff(21870,plain,
% 5.54/4.41 (~xuntil2p30(s100)),
% 5.54/4.41 inference(unit_resolution,[status(thm)],[21869, 21865])).
% 5.54/4.41 tff(21871,plain,
% 5.54/4.41 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s100) | xuntil2p30(s100) | (~until2p29(s100)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s100) | xuntil2p30(s100) | (~until2p29(s100)))),
% 5.54/4.41 inference(rewrite,[status(thm)],[])).
% 5.54/4.41 tff(21872,plain,
% 5.54/4.41 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s100) | xuntil2p30(s100) | (~until2p29(s100)))),
% 5.54/4.41 inference(quant_inst,[status(thm)],[])).
% 5.54/4.41 tff(21873,plain,
% 5.54/4.41 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s100) | xuntil2p30(s100) | (~until2p29(s100))),
% 5.54/4.41 inference(modus_ponens,[status(thm)],[21872, 21871])).
% 5.54/4.41 tff(21874,plain,
% 5.54/4.41 (xuntil2p30(s100) | (~until2p29(s100))),
% 5.54/4.41 inference(unit_resolution,[status(thm)],[21873, 20793, 19357])).
% 5.54/4.41 tff(21875,plain,
% 5.54/4.41 (~until2p29(s100)),
% 5.54/4.41 inference(unit_resolution,[status(thm)],[21874, 21870])).
% 5.54/4.41 tff(21876,plain,
% 5.54/4.41 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s99, s100)) | until2p29(s100) | (~xuntil2p30(s99)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s99, s100)) | until2p29(s100) | (~xuntil2p30(s99)))),
% 5.54/4.41 inference(rewrite,[status(thm)],[])).
% 5.54/4.41 tff(21877,plain,
% 5.54/4.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s99, s100)) | until2p29(s100) | (~xuntil2p30(s99)))),
% 5.54/4.41 inference(quant_inst,[status(thm)],[])).
% 5.54/4.41 tff(21878,plain,
% 5.54/4.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s99, s100)) | until2p29(s100) | (~xuntil2p30(s99))),
% 5.54/4.41 inference(modus_ponens,[status(thm)],[21877, 21876])).
% 5.54/4.41 tff(21879,plain,
% 5.54/4.41 (until2p29(s100) | (~xuntil2p30(s99))),
% 5.54/4.41 inference(unit_resolution,[status(thm)],[21878, 8284, 20808])).
% 5.54/4.41 tff(21880,plain,
% 5.54/4.41 (~xuntil2p30(s99)),
% 5.54/4.41 inference(unit_resolution,[status(thm)],[21879, 21875])).
% 5.54/4.41 tff(21881,plain,
% 5.54/4.41 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s99) | xuntil2p30(s99) | (~until2p29(s99)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s99) | xuntil2p30(s99) | (~until2p29(s99)))),
% 5.54/4.41 inference(rewrite,[status(thm)],[])).
% 5.54/4.41 tff(21882,plain,
% 5.54/4.41 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s99) | xuntil2p30(s99) | (~until2p29(s99)))),
% 5.54/4.41 inference(quant_inst,[status(thm)],[])).
% 5.54/4.41 tff(21883,plain,
% 5.54/4.41 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s99) | xuntil2p30(s99) | (~until2p29(s99))),
% 5.54/4.41 inference(modus_ponens,[status(thm)],[21882, 21881])).
% 5.54/4.41 tff(21884,plain,
% 5.54/4.41 (xuntil2p30(s99) | (~until2p29(s99))),
% 5.54/4.41 inference(unit_resolution,[status(thm)],[21883, 20793, 17265])).
% 5.54/4.41 tff(21885,plain,
% 5.54/4.41 (~until2p29(s99)),
% 5.54/4.41 inference(unit_resolution,[status(thm)],[21884, 21880])).
% 5.54/4.41 tff(21886,plain,
% 5.54/4.41 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s98, s99)) | until2p29(s99) | (~xuntil2p30(s98)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s98, s99)) | until2p29(s99) | (~xuntil2p30(s98)))),
% 5.54/4.41 inference(rewrite,[status(thm)],[])).
% 5.54/4.41 tff(21887,plain,
% 5.54/4.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s98, s99)) | until2p29(s99) | (~xuntil2p30(s98)))),
% 5.54/4.41 inference(quant_inst,[status(thm)],[])).
% 5.54/4.41 tff(21888,plain,
% 5.54/4.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s98, s99)) | until2p29(s99) | (~xuntil2p30(s98))),
% 5.54/4.41 inference(modus_ponens,[status(thm)],[21887, 21886])).
% 5.54/4.41 tff(21889,plain,
% 5.54/4.41 (until2p29(s99) | (~xuntil2p30(s98))),
% 5.54/4.41 inference(unit_resolution,[status(thm)],[21888, 8206, 20808])).
% 5.54/4.41 tff(21890,plain,
% 5.54/4.41 (~xuntil2p30(s98)),
% 5.54/4.41 inference(unit_resolution,[status(thm)],[21889, 21885])).
% 5.54/4.41 tff(21891,plain,
% 5.54/4.41 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s98) | xuntil2p30(s98) | (~until2p29(s98)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s98) | xuntil2p30(s98) | (~until2p29(s98)))),
% 5.54/4.41 inference(rewrite,[status(thm)],[])).
% 5.54/4.41 tff(21892,plain,
% 5.54/4.41 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s98) | xuntil2p30(s98) | (~until2p29(s98)))),
% 5.54/4.41 inference(quant_inst,[status(thm)],[])).
% 5.54/4.41 tff(21893,plain,
% 5.54/4.41 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s98) | xuntil2p30(s98) | (~until2p29(s98))),
% 5.54/4.41 inference(modus_ponens,[status(thm)],[21892, 21891])).
% 5.54/4.41 tff(21894,plain,
% 5.54/4.41 (xuntil2p30(s98) | (~until2p29(s98))),
% 5.54/4.41 inference(unit_resolution,[status(thm)],[21893, 20793, 17274])).
% 5.54/4.41 tff(21895,plain,
% 5.54/4.41 (~until2p29(s98)),
% 5.54/4.41 inference(unit_resolution,[status(thm)],[21894, 21890])).
% 5.54/4.41 tff(21896,plain,
% 5.54/4.41 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s97, s98)) | until2p29(s98) | (~xuntil2p30(s97)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s97, s98)) | until2p29(s98) | (~xuntil2p30(s97)))),
% 5.54/4.41 inference(rewrite,[status(thm)],[])).
% 5.54/4.41 tff(21897,plain,
% 5.54/4.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s97, s98)) | until2p29(s98) | (~xuntil2p30(s97)))),
% 5.54/4.41 inference(quant_inst,[status(thm)],[])).
% 5.54/4.41 tff(21898,plain,
% 5.54/4.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s97, s98)) | until2p29(s98) | (~xuntil2p30(s97))),
% 5.54/4.41 inference(modus_ponens,[status(thm)],[21897, 21896])).
% 5.54/4.41 tff(21899,plain,
% 5.54/4.41 (until2p29(s98) | (~xuntil2p30(s97))),
% 5.54/4.41 inference(unit_resolution,[status(thm)],[21898, 8107, 20808])).
% 5.54/4.41 tff(21900,plain,
% 5.54/4.41 (~xuntil2p30(s97)),
% 5.54/4.41 inference(unit_resolution,[status(thm)],[21899, 21895])).
% 5.54/4.41 tff(21901,plain,
% 5.54/4.41 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s97) | xuntil2p30(s97) | (~until2p29(s97)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s97) | xuntil2p30(s97) | (~until2p29(s97)))),
% 5.54/4.41 inference(rewrite,[status(thm)],[])).
% 5.54/4.41 tff(21902,plain,
% 5.54/4.41 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s97) | xuntil2p30(s97) | (~until2p29(s97)))),
% 5.54/4.41 inference(quant_inst,[status(thm)],[])).
% 5.54/4.41 tff(21903,plain,
% 5.54/4.41 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s97) | xuntil2p30(s97) | (~until2p29(s97))),
% 5.54/4.41 inference(modus_ponens,[status(thm)],[21902, 21901])).
% 5.54/4.41 tff(21904,plain,
% 5.54/4.41 (xuntil2p30(s97) | (~until2p29(s97))),
% 5.54/4.41 inference(unit_resolution,[status(thm)],[21903, 20793, 17278])).
% 5.54/4.41 tff(21905,plain,
% 5.54/4.41 (~until2p29(s97)),
% 5.54/4.41 inference(unit_resolution,[status(thm)],[21904, 21900])).
% 5.54/4.41 tff(21906,plain,
% 5.54/4.41 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s96, s97)) | until2p29(s97) | (~xuntil2p30(s96)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s96, s97)) | until2p29(s97) | (~xuntil2p30(s96)))),
% 5.54/4.41 inference(rewrite,[status(thm)],[])).
% 5.54/4.41 tff(21907,plain,
% 5.54/4.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s96, s97)) | until2p29(s97) | (~xuntil2p30(s96)))),
% 5.54/4.41 inference(quant_inst,[status(thm)],[])).
% 5.54/4.41 tff(21908,plain,
% 5.54/4.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s96, s97)) | until2p29(s97) | (~xuntil2p30(s96))),
% 5.54/4.41 inference(modus_ponens,[status(thm)],[21907, 21906])).
% 5.54/4.41 tff(21909,plain,
% 5.54/4.41 (until2p29(s97) | (~xuntil2p30(s96))),
% 5.54/4.41 inference(unit_resolution,[status(thm)],[21908, 8040, 20808])).
% 5.54/4.41 tff(21910,plain,
% 5.54/4.41 (~xuntil2p30(s96)),
% 5.54/4.41 inference(unit_resolution,[status(thm)],[21909, 21905])).
% 5.54/4.41 tff(21911,plain,
% 5.54/4.41 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s96) | xuntil2p30(s96) | (~until2p29(s96)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s96) | xuntil2p30(s96) | (~until2p29(s96)))),
% 5.54/4.41 inference(rewrite,[status(thm)],[])).
% 5.54/4.41 tff(21912,plain,
% 5.54/4.41 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s96) | xuntil2p30(s96) | (~until2p29(s96)))),
% 5.54/4.41 inference(quant_inst,[status(thm)],[])).
% 5.54/4.41 tff(21913,plain,
% 5.54/4.41 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s96) | xuntil2p30(s96) | (~until2p29(s96))),
% 5.54/4.41 inference(modus_ponens,[status(thm)],[21912, 21911])).
% 5.54/4.41 tff(21914,plain,
% 5.54/4.41 (xuntil2p30(s96) | (~until2p29(s96))),
% 5.54/4.41 inference(unit_resolution,[status(thm)],[21913, 20793, 19303])).
% 5.54/4.41 tff(21915,plain,
% 5.54/4.41 (~until2p29(s96)),
% 5.54/4.41 inference(unit_resolution,[status(thm)],[21914, 21910])).
% 5.54/4.41 tff(21916,plain,
% 5.54/4.41 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s95, s96)) | until2p29(s96) | (~xuntil2p30(s95)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s95, s96)) | until2p29(s96) | (~xuntil2p30(s95)))),
% 5.54/4.41 inference(rewrite,[status(thm)],[])).
% 5.54/4.41 tff(21917,plain,
% 5.54/4.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s95, s96)) | until2p29(s96) | (~xuntil2p30(s95)))),
% 5.54/4.41 inference(quant_inst,[status(thm)],[])).
% 5.54/4.41 tff(21918,plain,
% 5.54/4.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s95, s96)) | until2p29(s96) | (~xuntil2p30(s95))),
% 5.54/4.41 inference(modus_ponens,[status(thm)],[21917, 21916])).
% 5.54/4.41 tff(21919,plain,
% 5.54/4.41 (until2p29(s96) | (~xuntil2p30(s95))),
% 5.54/4.41 inference(unit_resolution,[status(thm)],[21918, 7951, 20808])).
% 5.54/4.41 tff(21920,plain,
% 5.54/4.41 (~xuntil2p30(s95)),
% 5.54/4.41 inference(unit_resolution,[status(thm)],[21919, 21915])).
% 5.54/4.41 tff(21921,plain,
% 5.54/4.41 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s95) | xuntil2p30(s95) | (~until2p29(s95)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s95) | xuntil2p30(s95) | (~until2p29(s95)))),
% 5.54/4.41 inference(rewrite,[status(thm)],[])).
% 5.54/4.41 tff(21922,plain,
% 5.54/4.41 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s95) | xuntil2p30(s95) | (~until2p29(s95)))),
% 5.54/4.41 inference(quant_inst,[status(thm)],[])).
% 5.54/4.41 tff(21923,plain,
% 5.54/4.41 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s95) | xuntil2p30(s95) | (~until2p29(s95))),
% 5.54/4.41 inference(modus_ponens,[status(thm)],[21922, 21921])).
% 5.54/4.41 tff(21924,plain,
% 5.54/4.41 (xuntil2p30(s95) | (~until2p29(s95))),
% 5.54/4.41 inference(unit_resolution,[status(thm)],[21923, 20793, 17294])).
% 5.54/4.41 tff(21925,plain,
% 5.54/4.41 (~until2p29(s95)),
% 5.54/4.41 inference(unit_resolution,[status(thm)],[21924, 21920])).
% 5.54/4.41 tff(21926,plain,
% 5.54/4.41 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s94, s95)) | until2p29(s95) | (~xuntil2p30(s94)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s94, s95)) | until2p29(s95) | (~xuntil2p30(s94)))),
% 5.54/4.41 inference(rewrite,[status(thm)],[])).
% 5.54/4.41 tff(21927,plain,
% 5.54/4.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s94, s95)) | until2p29(s95) | (~xuntil2p30(s94)))),
% 5.54/4.41 inference(quant_inst,[status(thm)],[])).
% 5.54/4.41 tff(21928,plain,
% 5.54/4.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s94, s95)) | until2p29(s95) | (~xuntil2p30(s94))),
% 5.54/4.41 inference(modus_ponens,[status(thm)],[21927, 21926])).
% 5.54/4.41 tff(21929,plain,
% 5.54/4.41 (until2p29(s95) | (~xuntil2p30(s94))),
% 5.54/4.41 inference(unit_resolution,[status(thm)],[21928, 7876, 20808])).
% 5.54/4.41 tff(21930,plain,
% 5.54/4.41 (~xuntil2p30(s94)),
% 5.54/4.41 inference(unit_resolution,[status(thm)],[21929, 21925])).
% 5.54/4.41 tff(21931,plain,
% 5.54/4.41 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s94) | xuntil2p30(s94) | (~until2p29(s94)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s94) | xuntil2p30(s94) | (~until2p29(s94)))),
% 5.54/4.41 inference(rewrite,[status(thm)],[])).
% 5.54/4.41 tff(21932,plain,
% 5.54/4.41 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s94) | xuntil2p30(s94) | (~until2p29(s94)))),
% 5.54/4.41 inference(quant_inst,[status(thm)],[])).
% 5.54/4.41 tff(21933,plain,
% 5.54/4.41 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s94) | xuntil2p30(s94) | (~until2p29(s94))),
% 5.54/4.41 inference(modus_ponens,[status(thm)],[21932, 21931])).
% 5.54/4.41 tff(21934,plain,
% 5.54/4.41 (xuntil2p30(s94) | (~until2p29(s94))),
% 5.54/4.41 inference(unit_resolution,[status(thm)],[21933, 20793, 17303])).
% 5.54/4.41 tff(21935,plain,
% 5.54/4.41 (~until2p29(s94)),
% 5.54/4.41 inference(unit_resolution,[status(thm)],[21934, 21930])).
% 5.54/4.41 tff(21936,plain,
% 5.54/4.41 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s93, s94)) | until2p29(s94) | (~xuntil2p30(s93)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s93, s94)) | until2p29(s94) | (~xuntil2p30(s93)))),
% 5.54/4.41 inference(rewrite,[status(thm)],[])).
% 5.54/4.41 tff(21937,plain,
% 5.54/4.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s93, s94)) | until2p29(s94) | (~xuntil2p30(s93)))),
% 5.54/4.41 inference(quant_inst,[status(thm)],[])).
% 5.54/4.41 tff(21938,plain,
% 5.54/4.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s93, s94)) | until2p29(s94) | (~xuntil2p30(s93))),
% 5.54/4.41 inference(modus_ponens,[status(thm)],[21937, 21936])).
% 5.54/4.41 tff(21939,plain,
% 5.54/4.41 (until2p29(s94) | (~xuntil2p30(s93))),
% 5.54/4.41 inference(unit_resolution,[status(thm)],[21938, 7812, 20808])).
% 5.54/4.41 tff(21940,plain,
% 5.54/4.41 (~xuntil2p30(s93)),
% 5.54/4.41 inference(unit_resolution,[status(thm)],[21939, 21935])).
% 5.54/4.41 tff(21941,plain,
% 5.54/4.41 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s93) | xuntil2p30(s93) | (~until2p29(s93)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s93) | xuntil2p30(s93) | (~until2p29(s93)))),
% 5.54/4.41 inference(rewrite,[status(thm)],[])).
% 5.54/4.41 tff(21942,plain,
% 5.54/4.41 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s93) | xuntil2p30(s93) | (~until2p29(s93)))),
% 5.54/4.41 inference(quant_inst,[status(thm)],[])).
% 5.54/4.41 tff(21943,plain,
% 5.54/4.41 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s93) | xuntil2p30(s93) | (~until2p29(s93))),
% 5.54/4.41 inference(modus_ponens,[status(thm)],[21942, 21941])).
% 5.54/4.41 tff(21944,plain,
% 5.54/4.41 (xuntil2p30(s93) | (~until2p29(s93))),
% 5.54/4.41 inference(unit_resolution,[status(thm)],[21943, 20793, 17307])).
% 5.54/4.41 tff(21945,plain,
% 5.54/4.41 (~until2p29(s93)),
% 5.54/4.41 inference(unit_resolution,[status(thm)],[21944, 21940])).
% 5.54/4.41 tff(21946,plain,
% 5.54/4.41 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s92, s93)) | until2p29(s93) | (~xuntil2p30(s92)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s92, s93)) | until2p29(s93) | (~xuntil2p30(s92)))),
% 5.54/4.41 inference(rewrite,[status(thm)],[])).
% 5.54/4.41 tff(21947,plain,
% 5.54/4.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s92, s93)) | until2p29(s93) | (~xuntil2p30(s92)))),
% 5.54/4.41 inference(quant_inst,[status(thm)],[])).
% 5.54/4.41 tff(21948,plain,
% 5.54/4.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s92, s93)) | until2p29(s93) | (~xuntil2p30(s92))),
% 5.54/4.41 inference(modus_ponens,[status(thm)],[21947, 21946])).
% 5.54/4.41 tff(21949,plain,
% 5.54/4.41 (until2p29(s93) | (~xuntil2p30(s92))),
% 5.54/4.41 inference(unit_resolution,[status(thm)],[21948, 7717, 20808])).
% 5.54/4.41 tff(21950,plain,
% 5.54/4.41 (~xuntil2p30(s92)),
% 5.54/4.41 inference(unit_resolution,[status(thm)],[21949, 21945])).
% 5.54/4.41 tff(21951,plain,
% 5.54/4.41 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s92) | xuntil2p30(s92) | (~until2p29(s92)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s92) | xuntil2p30(s92) | (~until2p29(s92)))),
% 5.54/4.41 inference(rewrite,[status(thm)],[])).
% 5.54/4.41 tff(21952,plain,
% 5.54/4.41 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s92) | xuntil2p30(s92) | (~until2p29(s92)))),
% 5.54/4.41 inference(quant_inst,[status(thm)],[])).
% 5.54/4.41 tff(21953,plain,
% 5.54/4.41 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s92) | xuntil2p30(s92) | (~until2p29(s92))),
% 5.54/4.41 inference(modus_ponens,[status(thm)],[21952, 21951])).
% 5.54/4.41 tff(21954,plain,
% 5.54/4.42 (xuntil2p30(s92) | (~until2p29(s92))),
% 5.54/4.42 inference(unit_resolution,[status(thm)],[21953, 20793, 19249])).
% 5.54/4.42 tff(21955,plain,
% 5.54/4.42 (~until2p29(s92)),
% 5.54/4.42 inference(unit_resolution,[status(thm)],[21954, 21950])).
% 5.54/4.42 tff(21956,plain,
% 5.54/4.42 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s91, s92)) | until2p29(s92) | (~xuntil2p30(s91)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s91, s92)) | until2p29(s92) | (~xuntil2p30(s91)))),
% 5.54/4.42 inference(rewrite,[status(thm)],[])).
% 5.54/4.42 tff(21957,plain,
% 5.54/4.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s91, s92)) | until2p29(s92) | (~xuntil2p30(s91)))),
% 5.54/4.42 inference(quant_inst,[status(thm)],[])).
% 5.54/4.42 tff(21958,plain,
% 5.54/4.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s91, s92)) | until2p29(s92) | (~xuntil2p30(s91))),
% 5.54/4.42 inference(modus_ponens,[status(thm)],[21957, 21956])).
% 5.54/4.42 tff(21959,plain,
% 5.54/4.42 (until2p29(s92) | (~xuntil2p30(s91))),
% 5.54/4.42 inference(unit_resolution,[status(thm)],[21958, 7656, 20808])).
% 5.54/4.42 tff(21960,plain,
% 5.54/4.42 (~xuntil2p30(s91)),
% 5.54/4.42 inference(unit_resolution,[status(thm)],[21959, 21955])).
% 5.54/4.42 tff(21961,plain,
% 5.54/4.42 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s91) | xuntil2p30(s91) | (~until2p29(s91)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s91) | xuntil2p30(s91) | (~until2p29(s91)))),
% 5.54/4.42 inference(rewrite,[status(thm)],[])).
% 5.54/4.42 tff(21962,plain,
% 5.54/4.42 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s91) | xuntil2p30(s91) | (~until2p29(s91)))),
% 5.54/4.42 inference(quant_inst,[status(thm)],[])).
% 5.54/4.42 tff(21963,plain,
% 5.54/4.42 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s91) | xuntil2p30(s91) | (~until2p29(s91))),
% 5.54/4.42 inference(modus_ponens,[status(thm)],[21962, 21961])).
% 5.54/4.42 tff(21964,plain,
% 5.54/4.42 (xuntil2p30(s91) | (~until2p29(s91))),
% 5.54/4.42 inference(unit_resolution,[status(thm)],[21963, 20793, 17323])).
% 5.54/4.42 tff(21965,plain,
% 5.54/4.42 (~until2p29(s91)),
% 5.54/4.42 inference(unit_resolution,[status(thm)],[21964, 21960])).
% 5.54/4.42 tff(21966,plain,
% 5.54/4.42 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s90, s91)) | until2p29(s91) | (~xuntil2p30(s90)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s90, s91)) | until2p29(s91) | (~xuntil2p30(s90)))),
% 5.54/4.42 inference(rewrite,[status(thm)],[])).
% 5.54/4.42 tff(21967,plain,
% 5.54/4.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s90, s91)) | until2p29(s91) | (~xuntil2p30(s90)))),
% 5.54/4.42 inference(quant_inst,[status(thm)],[])).
% 5.54/4.42 tff(21968,plain,
% 5.54/4.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s90, s91)) | until2p29(s91) | (~xuntil2p30(s90))),
% 5.54/4.42 inference(modus_ponens,[status(thm)],[21967, 21966])).
% 5.54/4.42 tff(21969,plain,
% 5.54/4.42 (until2p29(s91) | (~xuntil2p30(s90))),
% 5.54/4.42 inference(unit_resolution,[status(thm)],[21968, 7578, 20808])).
% 5.54/4.42 tff(21970,plain,
% 5.54/4.42 (~xuntil2p30(s90)),
% 5.54/4.42 inference(unit_resolution,[status(thm)],[21969, 21965])).
% 5.54/4.42 tff(21971,plain,
% 5.54/4.42 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s90) | xuntil2p30(s90) | (~until2p29(s90)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s90) | xuntil2p30(s90) | (~until2p29(s90)))),
% 5.54/4.42 inference(rewrite,[status(thm)],[])).
% 5.54/4.42 tff(21972,plain,
% 5.54/4.42 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s90) | xuntil2p30(s90) | (~until2p29(s90)))),
% 5.54/4.42 inference(quant_inst,[status(thm)],[])).
% 5.54/4.42 tff(21973,plain,
% 5.54/4.42 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s90) | xuntil2p30(s90) | (~until2p29(s90))),
% 5.54/4.42 inference(modus_ponens,[status(thm)],[21972, 21971])).
% 5.54/4.42 tff(21974,plain,
% 5.54/4.42 (xuntil2p30(s90) | (~until2p29(s90))),
% 5.54/4.42 inference(unit_resolution,[status(thm)],[21973, 20793, 17332])).
% 5.54/4.42 tff(21975,plain,
% 5.54/4.42 (~until2p29(s90)),
% 5.54/4.42 inference(unit_resolution,[status(thm)],[21974, 21970])).
% 5.54/4.42 tff(21976,plain,
% 5.54/4.42 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s89, s90)) | until2p29(s90) | (~xuntil2p30(s89)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s89, s90)) | until2p29(s90) | (~xuntil2p30(s89)))),
% 5.54/4.42 inference(rewrite,[status(thm)],[])).
% 5.54/4.42 tff(21977,plain,
% 5.54/4.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s89, s90)) | until2p29(s90) | (~xuntil2p30(s89)))),
% 5.54/4.42 inference(quant_inst,[status(thm)],[])).
% 5.54/4.42 tff(21978,plain,
% 5.54/4.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s89, s90)) | until2p29(s90) | (~xuntil2p30(s89))),
% 5.54/4.42 inference(modus_ponens,[status(thm)],[21977, 21976])).
% 5.54/4.42 tff(21979,plain,
% 5.54/4.42 (until2p29(s90) | (~xuntil2p30(s89))),
% 5.54/4.42 inference(unit_resolution,[status(thm)],[21978, 7479, 20808])).
% 5.54/4.42 tff(21980,plain,
% 5.54/4.42 (~xuntil2p30(s89)),
% 5.54/4.42 inference(unit_resolution,[status(thm)],[21979, 21975])).
% 5.54/4.42 tff(21981,plain,
% 5.54/4.42 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s89) | xuntil2p30(s89) | (~until2p29(s89)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s89) | xuntil2p30(s89) | (~until2p29(s89)))),
% 5.54/4.42 inference(rewrite,[status(thm)],[])).
% 5.54/4.42 tff(21982,plain,
% 5.54/4.42 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s89) | xuntil2p30(s89) | (~until2p29(s89)))),
% 5.54/4.42 inference(quant_inst,[status(thm)],[])).
% 5.54/4.42 tff(21983,plain,
% 5.54/4.42 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s89) | xuntil2p30(s89) | (~until2p29(s89))),
% 5.54/4.42 inference(modus_ponens,[status(thm)],[21982, 21981])).
% 5.54/4.42 tff(21984,plain,
% 5.54/4.42 (xuntil2p30(s89) | (~until2p29(s89))),
% 5.54/4.42 inference(unit_resolution,[status(thm)],[21983, 20793, 17336])).
% 5.54/4.42 tff(21985,plain,
% 5.54/4.42 (~until2p29(s89)),
% 5.54/4.42 inference(unit_resolution,[status(thm)],[21984, 21980])).
% 5.54/4.42 tff(21986,plain,
% 5.54/4.42 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s88, s89)) | until2p29(s89) | (~xuntil2p30(s88)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s88, s89)) | until2p29(s89) | (~xuntil2p30(s88)))),
% 5.54/4.42 inference(rewrite,[status(thm)],[])).
% 5.54/4.42 tff(21987,plain,
% 5.54/4.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s88, s89)) | until2p29(s89) | (~xuntil2p30(s88)))),
% 5.54/4.42 inference(quant_inst,[status(thm)],[])).
% 5.54/4.42 tff(21988,plain,
% 5.54/4.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s88, s89)) | until2p29(s89) | (~xuntil2p30(s88))),
% 5.54/4.42 inference(modus_ponens,[status(thm)],[21987, 21986])).
% 5.54/4.42 tff(21989,plain,
% 5.54/4.42 (until2p29(s89) | (~xuntil2p30(s88))),
% 5.54/4.42 inference(unit_resolution,[status(thm)],[21988, 7412, 20808])).
% 5.54/4.42 tff(21990,plain,
% 5.54/4.42 (~xuntil2p30(s88)),
% 5.54/4.42 inference(unit_resolution,[status(thm)],[21989, 21985])).
% 5.54/4.42 tff(21991,plain,
% 5.54/4.42 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s88) | xuntil2p30(s88) | (~until2p29(s88)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s88) | xuntil2p30(s88) | (~until2p29(s88)))),
% 5.54/4.42 inference(rewrite,[status(thm)],[])).
% 5.54/4.42 tff(21992,plain,
% 5.54/4.42 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s88) | xuntil2p30(s88) | (~until2p29(s88)))),
% 5.54/4.42 inference(quant_inst,[status(thm)],[])).
% 5.54/4.42 tff(21993,plain,
% 5.54/4.42 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s88) | xuntil2p30(s88) | (~until2p29(s88))),
% 5.54/4.42 inference(modus_ponens,[status(thm)],[21992, 21991])).
% 5.54/4.42 tff(21994,plain,
% 5.54/4.42 (xuntil2p30(s88) | (~until2p29(s88))),
% 5.54/4.42 inference(unit_resolution,[status(thm)],[21993, 20793, 19195])).
% 5.54/4.42 tff(21995,plain,
% 5.54/4.42 (~until2p29(s88)),
% 5.54/4.42 inference(unit_resolution,[status(thm)],[21994, 21990])).
% 5.54/4.42 tff(21996,plain,
% 5.54/4.42 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s87, s88)) | until2p29(s88) | (~xuntil2p30(s87)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s87, s88)) | until2p29(s88) | (~xuntil2p30(s87)))),
% 5.54/4.42 inference(rewrite,[status(thm)],[])).
% 5.54/4.42 tff(21997,plain,
% 5.54/4.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s87, s88)) | until2p29(s88) | (~xuntil2p30(s87)))),
% 5.54/4.42 inference(quant_inst,[status(thm)],[])).
% 5.54/4.42 tff(21998,plain,
% 5.54/4.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s87, s88)) | until2p29(s88) | (~xuntil2p30(s87))),
% 5.54/4.42 inference(modus_ponens,[status(thm)],[21997, 21996])).
% 5.54/4.42 tff(21999,plain,
% 5.54/4.42 (until2p29(s88) | (~xuntil2p30(s87))),
% 5.54/4.42 inference(unit_resolution,[status(thm)],[21998, 7323, 20808])).
% 5.54/4.42 tff(22000,plain,
% 5.54/4.42 (~xuntil2p30(s87)),
% 5.54/4.42 inference(unit_resolution,[status(thm)],[21999, 21995])).
% 5.54/4.42 tff(22001,plain,
% 5.54/4.42 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s87) | xuntil2p30(s87) | (~until2p29(s87)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s87) | xuntil2p30(s87) | (~until2p29(s87)))),
% 5.54/4.42 inference(rewrite,[status(thm)],[])).
% 5.54/4.42 tff(22002,plain,
% 5.54/4.42 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s87) | xuntil2p30(s87) | (~until2p29(s87)))),
% 5.54/4.42 inference(quant_inst,[status(thm)],[])).
% 5.54/4.42 tff(22003,plain,
% 5.54/4.42 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s87) | xuntil2p30(s87) | (~until2p29(s87))),
% 5.54/4.42 inference(modus_ponens,[status(thm)],[22002, 22001])).
% 5.54/4.42 tff(22004,plain,
% 5.54/4.42 (xuntil2p30(s87) | (~until2p29(s87))),
% 5.54/4.42 inference(unit_resolution,[status(thm)],[22003, 20793, 17352])).
% 5.54/4.42 tff(22005,plain,
% 5.54/4.42 (~until2p29(s87)),
% 5.54/4.42 inference(unit_resolution,[status(thm)],[22004, 22000])).
% 5.54/4.42 tff(22006,plain,
% 5.54/4.42 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s86, s87)) | until2p29(s87) | (~xuntil2p30(s86)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s86, s87)) | until2p29(s87) | (~xuntil2p30(s86)))),
% 5.54/4.42 inference(rewrite,[status(thm)],[])).
% 5.54/4.42 tff(22007,plain,
% 5.54/4.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s86, s87)) | until2p29(s87) | (~xuntil2p30(s86)))),
% 5.54/4.42 inference(quant_inst,[status(thm)],[])).
% 5.54/4.42 tff(22008,plain,
% 5.54/4.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s86, s87)) | until2p29(s87) | (~xuntil2p30(s86))),
% 5.54/4.42 inference(modus_ponens,[status(thm)],[22007, 22006])).
% 5.54/4.42 tff(22009,plain,
% 5.54/4.42 (until2p29(s87) | (~xuntil2p30(s86))),
% 5.54/4.42 inference(unit_resolution,[status(thm)],[22008, 7248, 20808])).
% 5.54/4.42 tff(22010,plain,
% 5.54/4.42 (~xuntil2p30(s86)),
% 5.54/4.42 inference(unit_resolution,[status(thm)],[22009, 22005])).
% 5.54/4.42 tff(22011,plain,
% 5.54/4.42 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s86) | xuntil2p30(s86) | (~until2p29(s86)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s86) | xuntil2p30(s86) | (~until2p29(s86)))),
% 5.54/4.42 inference(rewrite,[status(thm)],[])).
% 5.54/4.42 tff(22012,plain,
% 5.54/4.42 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s86) | xuntil2p30(s86) | (~until2p29(s86)))),
% 5.54/4.42 inference(quant_inst,[status(thm)],[])).
% 5.54/4.42 tff(22013,plain,
% 5.54/4.42 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s86) | xuntil2p30(s86) | (~until2p29(s86))),
% 5.54/4.42 inference(modus_ponens,[status(thm)],[22012, 22011])).
% 5.54/4.42 tff(22014,plain,
% 5.54/4.42 (xuntil2p30(s86) | (~until2p29(s86))),
% 5.54/4.42 inference(unit_resolution,[status(thm)],[22013, 20793, 17361])).
% 5.54/4.42 tff(22015,plain,
% 5.54/4.42 (~until2p29(s86)),
% 5.54/4.42 inference(unit_resolution,[status(thm)],[22014, 22010])).
% 5.54/4.42 tff(22016,plain,
% 5.54/4.42 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s85, s86)) | until2p29(s86) | (~xuntil2p30(s85)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s85, s86)) | until2p29(s86) | (~xuntil2p30(s85)))),
% 5.54/4.42 inference(rewrite,[status(thm)],[])).
% 5.54/4.42 tff(22017,plain,
% 5.54/4.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s85, s86)) | until2p29(s86) | (~xuntil2p30(s85)))),
% 5.54/4.42 inference(quant_inst,[status(thm)],[])).
% 5.54/4.42 tff(22018,plain,
% 5.54/4.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s85, s86)) | until2p29(s86) | (~xuntil2p30(s85))),
% 5.54/4.42 inference(modus_ponens,[status(thm)],[22017, 22016])).
% 5.54/4.42 tff(22019,plain,
% 5.54/4.42 (until2p29(s86) | (~xuntil2p30(s85))),
% 5.54/4.42 inference(unit_resolution,[status(thm)],[22018, 7184, 20808])).
% 5.54/4.42 tff(22020,plain,
% 5.54/4.42 (~xuntil2p30(s85)),
% 5.54/4.42 inference(unit_resolution,[status(thm)],[22019, 22015])).
% 5.54/4.42 tff(22021,plain,
% 5.54/4.42 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s85) | xuntil2p30(s85) | (~until2p29(s85)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s85) | xuntil2p30(s85) | (~until2p29(s85)))),
% 5.54/4.42 inference(rewrite,[status(thm)],[])).
% 5.54/4.42 tff(22022,plain,
% 5.54/4.42 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s85) | xuntil2p30(s85) | (~until2p29(s85)))),
% 5.54/4.42 inference(quant_inst,[status(thm)],[])).
% 5.54/4.42 tff(22023,plain,
% 5.54/4.42 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s85) | xuntil2p30(s85) | (~until2p29(s85))),
% 5.54/4.42 inference(modus_ponens,[status(thm)],[22022, 22021])).
% 5.54/4.42 tff(22024,plain,
% 5.54/4.42 (xuntil2p30(s85) | (~until2p29(s85))),
% 5.54/4.42 inference(unit_resolution,[status(thm)],[22023, 20793, 17365])).
% 5.54/4.42 tff(22025,plain,
% 5.54/4.42 (~until2p29(s85)),
% 5.54/4.42 inference(unit_resolution,[status(thm)],[22024, 22020])).
% 5.54/4.42 tff(22026,plain,
% 5.54/4.42 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s84, s85)) | until2p29(s85) | (~xuntil2p30(s84)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s84, s85)) | until2p29(s85) | (~xuntil2p30(s84)))),
% 5.54/4.42 inference(rewrite,[status(thm)],[])).
% 5.54/4.42 tff(22027,plain,
% 5.54/4.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s84, s85)) | until2p29(s85) | (~xuntil2p30(s84)))),
% 5.54/4.42 inference(quant_inst,[status(thm)],[])).
% 5.54/4.42 tff(22028,plain,
% 5.54/4.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s84, s85)) | until2p29(s85) | (~xuntil2p30(s84))),
% 5.54/4.42 inference(modus_ponens,[status(thm)],[22027, 22026])).
% 5.54/4.42 tff(22029,plain,
% 5.54/4.42 (until2p29(s85) | (~xuntil2p30(s84))),
% 5.54/4.42 inference(unit_resolution,[status(thm)],[22028, 7089, 20808])).
% 5.54/4.42 tff(22030,plain,
% 5.54/4.42 (~xuntil2p30(s84)),
% 5.54/4.42 inference(unit_resolution,[status(thm)],[22029, 22025])).
% 5.54/4.42 tff(22031,plain,
% 5.54/4.42 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s84) | xuntil2p30(s84) | (~until2p29(s84)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s84) | xuntil2p30(s84) | (~until2p29(s84)))),
% 5.54/4.42 inference(rewrite,[status(thm)],[])).
% 5.54/4.42 tff(22032,plain,
% 5.54/4.42 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s84) | xuntil2p30(s84) | (~until2p29(s84)))),
% 5.54/4.42 inference(quant_inst,[status(thm)],[])).
% 5.54/4.42 tff(22033,plain,
% 5.54/4.42 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s84) | xuntil2p30(s84) | (~until2p29(s84))),
% 5.54/4.42 inference(modus_ponens,[status(thm)],[22032, 22031])).
% 5.54/4.42 tff(22034,plain,
% 5.54/4.42 (xuntil2p30(s84) | (~until2p29(s84))),
% 5.54/4.42 inference(unit_resolution,[status(thm)],[22033, 20793, 19141])).
% 5.54/4.42 tff(22035,plain,
% 5.54/4.42 (~until2p29(s84)),
% 5.54/4.42 inference(unit_resolution,[status(thm)],[22034, 22030])).
% 5.54/4.42 tff(22036,plain,
% 5.54/4.42 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s83, s84)) | until2p29(s84) | (~xuntil2p30(s83)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s83, s84)) | until2p29(s84) | (~xuntil2p30(s83)))),
% 5.54/4.42 inference(rewrite,[status(thm)],[])).
% 5.54/4.42 tff(22037,plain,
% 5.54/4.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s83, s84)) | until2p29(s84) | (~xuntil2p30(s83)))),
% 5.54/4.42 inference(quant_inst,[status(thm)],[])).
% 5.54/4.42 tff(22038,plain,
% 5.54/4.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s83, s84)) | until2p29(s84) | (~xuntil2p30(s83))),
% 5.54/4.42 inference(modus_ponens,[status(thm)],[22037, 22036])).
% 5.54/4.42 tff(22039,plain,
% 5.54/4.42 (until2p29(s84) | (~xuntil2p30(s83))),
% 5.54/4.42 inference(unit_resolution,[status(thm)],[22038, 7028, 20808])).
% 5.54/4.42 tff(22040,plain,
% 5.54/4.42 (~xuntil2p30(s83)),
% 5.54/4.42 inference(unit_resolution,[status(thm)],[22039, 22035])).
% 5.54/4.42 tff(22041,plain,
% 5.54/4.42 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s83) | xuntil2p30(s83) | (~until2p29(s83)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s83) | xuntil2p30(s83) | (~until2p29(s83)))),
% 5.54/4.42 inference(rewrite,[status(thm)],[])).
% 5.54/4.42 tff(22042,plain,
% 5.54/4.42 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s83) | xuntil2p30(s83) | (~until2p29(s83)))),
% 5.54/4.42 inference(quant_inst,[status(thm)],[])).
% 5.54/4.42 tff(22043,plain,
% 5.54/4.42 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s83) | xuntil2p30(s83) | (~until2p29(s83))),
% 5.54/4.42 inference(modus_ponens,[status(thm)],[22042, 22041])).
% 5.54/4.42 tff(22044,plain,
% 5.54/4.42 (xuntil2p30(s83) | (~until2p29(s83))),
% 5.54/4.42 inference(unit_resolution,[status(thm)],[22043, 20793, 17381])).
% 5.54/4.42 tff(22045,plain,
% 5.54/4.42 (~until2p29(s83)),
% 5.54/4.42 inference(unit_resolution,[status(thm)],[22044, 22040])).
% 5.54/4.42 tff(22046,plain,
% 5.54/4.42 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s82, s83)) | until2p29(s83) | (~xuntil2p30(s82)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s82, s83)) | until2p29(s83) | (~xuntil2p30(s82)))),
% 5.54/4.42 inference(rewrite,[status(thm)],[])).
% 5.54/4.42 tff(22047,plain,
% 5.54/4.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s82, s83)) | until2p29(s83) | (~xuntil2p30(s82)))),
% 5.54/4.42 inference(quant_inst,[status(thm)],[])).
% 5.54/4.42 tff(22048,plain,
% 5.54/4.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s82, s83)) | until2p29(s83) | (~xuntil2p30(s82))),
% 5.54/4.42 inference(modus_ponens,[status(thm)],[22047, 22046])).
% 5.54/4.42 tff(22049,plain,
% 5.54/4.42 (until2p29(s83) | (~xuntil2p30(s82))),
% 5.54/4.42 inference(unit_resolution,[status(thm)],[22048, 6950, 20808])).
% 5.54/4.42 tff(22050,plain,
% 5.54/4.42 (~xuntil2p30(s82)),
% 5.54/4.42 inference(unit_resolution,[status(thm)],[22049, 22045])).
% 5.54/4.42 tff(22051,plain,
% 5.54/4.42 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s82) | xuntil2p30(s82) | (~until2p29(s82)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s82) | xuntil2p30(s82) | (~until2p29(s82)))),
% 5.54/4.42 inference(rewrite,[status(thm)],[])).
% 5.54/4.42 tff(22052,plain,
% 5.54/4.42 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s82) | xuntil2p30(s82) | (~until2p29(s82)))),
% 5.54/4.42 inference(quant_inst,[status(thm)],[])).
% 5.54/4.42 tff(22053,plain,
% 5.54/4.42 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s82) | xuntil2p30(s82) | (~until2p29(s82))),
% 5.54/4.42 inference(modus_ponens,[status(thm)],[22052, 22051])).
% 5.54/4.42 tff(22054,plain,
% 5.54/4.42 (xuntil2p30(s82) | (~until2p29(s82))),
% 5.54/4.42 inference(unit_resolution,[status(thm)],[22053, 20793, 17390])).
% 5.54/4.42 tff(22055,plain,
% 5.54/4.42 (~until2p29(s82)),
% 5.54/4.42 inference(unit_resolution,[status(thm)],[22054, 22050])).
% 5.54/4.42 tff(22056,plain,
% 5.54/4.42 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s81, s82)) | until2p29(s82) | (~xuntil2p30(s81)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s81, s82)) | until2p29(s82) | (~xuntil2p30(s81)))),
% 5.54/4.42 inference(rewrite,[status(thm)],[])).
% 5.54/4.42 tff(22057,plain,
% 5.54/4.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s81, s82)) | until2p29(s82) | (~xuntil2p30(s81)))),
% 5.54/4.42 inference(quant_inst,[status(thm)],[])).
% 5.54/4.42 tff(22058,plain,
% 5.54/4.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s81, s82)) | until2p29(s82) | (~xuntil2p30(s81))),
% 5.54/4.42 inference(modus_ponens,[status(thm)],[22057, 22056])).
% 5.54/4.42 tff(22059,plain,
% 5.54/4.42 (until2p29(s82) | (~xuntil2p30(s81))),
% 5.54/4.42 inference(unit_resolution,[status(thm)],[22058, 6851, 20808])).
% 5.54/4.42 tff(22060,plain,
% 5.54/4.42 (~xuntil2p30(s81)),
% 5.54/4.42 inference(unit_resolution,[status(thm)],[22059, 22055])).
% 5.54/4.42 tff(22061,plain,
% 5.54/4.42 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s81) | xuntil2p30(s81) | (~until2p29(s81)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s81) | xuntil2p30(s81) | (~until2p29(s81)))),
% 5.54/4.42 inference(rewrite,[status(thm)],[])).
% 5.54/4.42 tff(22062,plain,
% 5.54/4.42 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s81) | xuntil2p30(s81) | (~until2p29(s81)))),
% 5.54/4.42 inference(quant_inst,[status(thm)],[])).
% 5.54/4.42 tff(22063,plain,
% 5.54/4.42 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s81) | xuntil2p30(s81) | (~until2p29(s81))),
% 5.54/4.42 inference(modus_ponens,[status(thm)],[22062, 22061])).
% 5.54/4.42 tff(22064,plain,
% 5.54/4.42 (xuntil2p30(s81) | (~until2p29(s81))),
% 5.54/4.42 inference(unit_resolution,[status(thm)],[22063, 20793, 17394])).
% 5.54/4.42 tff(22065,plain,
% 5.54/4.42 (~until2p29(s81)),
% 5.54/4.42 inference(unit_resolution,[status(thm)],[22064, 22060])).
% 5.54/4.42 tff(22066,plain,
% 5.54/4.42 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s80, s81)) | until2p29(s81) | (~xuntil2p30(s80)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s80, s81)) | until2p29(s81) | (~xuntil2p30(s80)))),
% 5.54/4.42 inference(rewrite,[status(thm)],[])).
% 5.54/4.42 tff(22067,plain,
% 5.54/4.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s80, s81)) | until2p29(s81) | (~xuntil2p30(s80)))),
% 5.54/4.42 inference(quant_inst,[status(thm)],[])).
% 5.54/4.42 tff(22068,plain,
% 5.54/4.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s80, s81)) | until2p29(s81) | (~xuntil2p30(s80))),
% 5.54/4.42 inference(modus_ponens,[status(thm)],[22067, 22066])).
% 5.54/4.42 tff(22069,plain,
% 5.54/4.42 (until2p29(s81) | (~xuntil2p30(s80))),
% 5.54/4.42 inference(unit_resolution,[status(thm)],[22068, 6784, 20808])).
% 5.54/4.42 tff(22070,plain,
% 5.54/4.42 (~xuntil2p30(s80)),
% 5.54/4.42 inference(unit_resolution,[status(thm)],[22069, 22065])).
% 5.54/4.42 tff(22071,plain,
% 5.54/4.42 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s80) | xuntil2p30(s80) | (~until2p29(s80)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s80) | xuntil2p30(s80) | (~until2p29(s80)))),
% 5.54/4.42 inference(rewrite,[status(thm)],[])).
% 5.54/4.42 tff(22072,plain,
% 5.54/4.42 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s80) | xuntil2p30(s80) | (~until2p29(s80)))),
% 5.54/4.42 inference(quant_inst,[status(thm)],[])).
% 5.54/4.42 tff(22073,plain,
% 5.54/4.42 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s80) | xuntil2p30(s80) | (~until2p29(s80))),
% 5.54/4.42 inference(modus_ponens,[status(thm)],[22072, 22071])).
% 5.54/4.42 tff(22074,plain,
% 5.54/4.42 (xuntil2p30(s80) | (~until2p29(s80))),
% 5.54/4.42 inference(unit_resolution,[status(thm)],[22073, 20793, 19087])).
% 5.54/4.42 tff(22075,plain,
% 5.54/4.42 (~until2p29(s80)),
% 5.54/4.42 inference(unit_resolution,[status(thm)],[22074, 22070])).
% 5.54/4.42 tff(22076,plain,
% 5.54/4.42 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s79, s80)) | until2p29(s80) | (~xuntil2p30(s79)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s79, s80)) | until2p29(s80) | (~xuntil2p30(s79)))),
% 5.54/4.42 inference(rewrite,[status(thm)],[])).
% 5.54/4.42 tff(22077,plain,
% 5.54/4.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s79, s80)) | until2p29(s80) | (~xuntil2p30(s79)))),
% 5.54/4.42 inference(quant_inst,[status(thm)],[])).
% 5.54/4.42 tff(22078,plain,
% 5.54/4.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s79, s80)) | until2p29(s80) | (~xuntil2p30(s79))),
% 5.54/4.42 inference(modus_ponens,[status(thm)],[22077, 22076])).
% 5.54/4.42 tff(22079,plain,
% 5.54/4.42 (until2p29(s80) | (~xuntil2p30(s79))),
% 5.54/4.42 inference(unit_resolution,[status(thm)],[22078, 6695, 20808])).
% 5.54/4.42 tff(22080,plain,
% 5.54/4.42 (~xuntil2p30(s79)),
% 5.54/4.42 inference(unit_resolution,[status(thm)],[22079, 22075])).
% 5.54/4.42 tff(22081,plain,
% 5.54/4.42 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s79) | xuntil2p30(s79) | (~until2p29(s79)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s79) | xuntil2p30(s79) | (~until2p29(s79)))),
% 5.54/4.42 inference(rewrite,[status(thm)],[])).
% 5.54/4.42 tff(22082,plain,
% 5.54/4.42 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s79) | xuntil2p30(s79) | (~until2p29(s79)))),
% 5.54/4.42 inference(quant_inst,[status(thm)],[])).
% 5.54/4.42 tff(22083,plain,
% 5.54/4.42 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s79) | xuntil2p30(s79) | (~until2p29(s79))),
% 5.54/4.42 inference(modus_ponens,[status(thm)],[22082, 22081])).
% 5.54/4.42 tff(22084,plain,
% 5.54/4.42 (xuntil2p30(s79) | (~until2p29(s79))),
% 5.54/4.42 inference(unit_resolution,[status(thm)],[22083, 20793, 17410])).
% 5.54/4.42 tff(22085,plain,
% 5.54/4.42 (~until2p29(s79)),
% 5.54/4.42 inference(unit_resolution,[status(thm)],[22084, 22080])).
% 5.54/4.42 tff(22086,plain,
% 5.54/4.42 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s78, s79)) | until2p29(s79) | (~xuntil2p30(s78)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s78, s79)) | until2p29(s79) | (~xuntil2p30(s78)))),
% 5.54/4.42 inference(rewrite,[status(thm)],[])).
% 5.54/4.42 tff(22087,plain,
% 5.54/4.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s78, s79)) | until2p29(s79) | (~xuntil2p30(s78)))),
% 5.54/4.42 inference(quant_inst,[status(thm)],[])).
% 5.54/4.42 tff(22088,plain,
% 5.54/4.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s78, s79)) | until2p29(s79) | (~xuntil2p30(s78))),
% 5.54/4.42 inference(modus_ponens,[status(thm)],[22087, 22086])).
% 5.54/4.42 tff(22089,plain,
% 5.54/4.42 (until2p29(s79) | (~xuntil2p30(s78))),
% 5.54/4.42 inference(unit_resolution,[status(thm)],[22088, 6620, 20808])).
% 5.54/4.42 tff(22090,plain,
% 5.54/4.42 (~xuntil2p30(s78)),
% 5.54/4.42 inference(unit_resolution,[status(thm)],[22089, 22085])).
% 5.54/4.42 tff(22091,plain,
% 5.54/4.42 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s78) | xuntil2p30(s78) | (~until2p29(s78)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s78) | xuntil2p30(s78) | (~until2p29(s78)))),
% 5.54/4.42 inference(rewrite,[status(thm)],[])).
% 5.54/4.42 tff(22092,plain,
% 5.54/4.42 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s78) | xuntil2p30(s78) | (~until2p29(s78)))),
% 5.54/4.42 inference(quant_inst,[status(thm)],[])).
% 5.54/4.42 tff(22093,plain,
% 5.54/4.42 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s78) | xuntil2p30(s78) | (~until2p29(s78))),
% 5.54/4.42 inference(modus_ponens,[status(thm)],[22092, 22091])).
% 5.54/4.42 tff(22094,plain,
% 5.54/4.42 (xuntil2p30(s78) | (~until2p29(s78))),
% 5.54/4.42 inference(unit_resolution,[status(thm)],[22093, 20793, 17419])).
% 5.54/4.42 tff(22095,plain,
% 5.54/4.42 (~until2p29(s78)),
% 5.54/4.42 inference(unit_resolution,[status(thm)],[22094, 22090])).
% 5.54/4.42 tff(22096,plain,
% 5.54/4.42 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s77, s78)) | until2p29(s78) | (~xuntil2p30(s77)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s77, s78)) | until2p29(s78) | (~xuntil2p30(s77)))),
% 5.54/4.42 inference(rewrite,[status(thm)],[])).
% 5.54/4.42 tff(22097,plain,
% 5.54/4.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s77, s78)) | until2p29(s78) | (~xuntil2p30(s77)))),
% 5.54/4.42 inference(quant_inst,[status(thm)],[])).
% 5.54/4.42 tff(22098,plain,
% 5.54/4.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s77, s78)) | until2p29(s78) | (~xuntil2p30(s77))),
% 5.54/4.42 inference(modus_ponens,[status(thm)],[22097, 22096])).
% 5.54/4.42 tff(22099,plain,
% 5.54/4.42 (until2p29(s78) | (~xuntil2p30(s77))),
% 5.54/4.42 inference(unit_resolution,[status(thm)],[22098, 6556, 20808])).
% 5.54/4.42 tff(22100,plain,
% 5.54/4.42 (~xuntil2p30(s77)),
% 5.54/4.42 inference(unit_resolution,[status(thm)],[22099, 22095])).
% 5.54/4.42 tff(22101,plain,
% 5.54/4.42 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s77) | xuntil2p30(s77) | (~until2p29(s77)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s77) | xuntil2p30(s77) | (~until2p29(s77)))),
% 5.54/4.42 inference(rewrite,[status(thm)],[])).
% 5.54/4.42 tff(22102,plain,
% 5.54/4.42 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s77) | xuntil2p30(s77) | (~until2p29(s77)))),
% 5.54/4.42 inference(quant_inst,[status(thm)],[])).
% 5.54/4.42 tff(22103,plain,
% 5.54/4.42 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s77) | xuntil2p30(s77) | (~until2p29(s77))),
% 5.54/4.42 inference(modus_ponens,[status(thm)],[22102, 22101])).
% 5.54/4.42 tff(22104,plain,
% 5.54/4.42 (xuntil2p30(s77) | (~until2p29(s77))),
% 5.54/4.42 inference(unit_resolution,[status(thm)],[22103, 20793, 17423])).
% 5.54/4.42 tff(22105,plain,
% 5.54/4.42 (~until2p29(s77)),
% 5.54/4.42 inference(unit_resolution,[status(thm)],[22104, 22100])).
% 5.54/4.42 tff(22106,plain,
% 5.54/4.42 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s76, s77)) | until2p29(s77) | (~xuntil2p30(s76)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s76, s77)) | until2p29(s77) | (~xuntil2p30(s76)))),
% 5.54/4.42 inference(rewrite,[status(thm)],[])).
% 5.54/4.42 tff(22107,plain,
% 5.54/4.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s76, s77)) | until2p29(s77) | (~xuntil2p30(s76)))),
% 5.54/4.42 inference(quant_inst,[status(thm)],[])).
% 5.54/4.42 tff(22108,plain,
% 5.54/4.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s76, s77)) | until2p29(s77) | (~xuntil2p30(s76))),
% 5.54/4.42 inference(modus_ponens,[status(thm)],[22107, 22106])).
% 5.54/4.42 tff(22109,plain,
% 5.54/4.42 (until2p29(s77) | (~xuntil2p30(s76))),
% 5.54/4.42 inference(unit_resolution,[status(thm)],[22108, 6461, 20808])).
% 5.54/4.42 tff(22110,plain,
% 5.54/4.42 (~xuntil2p30(s76)),
% 5.54/4.42 inference(unit_resolution,[status(thm)],[22109, 22105])).
% 5.54/4.42 tff(22111,plain,
% 5.54/4.42 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s76) | xuntil2p30(s76) | (~until2p29(s76)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s76) | xuntil2p30(s76) | (~until2p29(s76)))),
% 5.54/4.42 inference(rewrite,[status(thm)],[])).
% 5.54/4.42 tff(22112,plain,
% 5.54/4.42 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s76) | xuntil2p30(s76) | (~until2p29(s76)))),
% 5.54/4.42 inference(quant_inst,[status(thm)],[])).
% 5.54/4.42 tff(22113,plain,
% 5.54/4.42 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s76) | xuntil2p30(s76) | (~until2p29(s76))),
% 5.54/4.42 inference(modus_ponens,[status(thm)],[22112, 22111])).
% 5.54/4.42 tff(22114,plain,
% 5.54/4.42 (xuntil2p30(s76) | (~until2p29(s76))),
% 5.54/4.42 inference(unit_resolution,[status(thm)],[22113, 20793, 19033])).
% 5.54/4.42 tff(22115,plain,
% 5.54/4.42 (~until2p29(s76)),
% 5.54/4.42 inference(unit_resolution,[status(thm)],[22114, 22110])).
% 5.54/4.42 tff(22116,plain,
% 5.54/4.42 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s75, s76)) | until2p29(s76) | (~xuntil2p30(s75)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s75, s76)) | until2p29(s76) | (~xuntil2p30(s75)))),
% 5.54/4.42 inference(rewrite,[status(thm)],[])).
% 5.54/4.42 tff(22117,plain,
% 5.54/4.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s75, s76)) | until2p29(s76) | (~xuntil2p30(s75)))),
% 5.54/4.42 inference(quant_inst,[status(thm)],[])).
% 5.54/4.42 tff(22118,plain,
% 5.54/4.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s75, s76)) | until2p29(s76) | (~xuntil2p30(s75))),
% 5.54/4.42 inference(modus_ponens,[status(thm)],[22117, 22116])).
% 5.54/4.42 tff(22119,plain,
% 5.54/4.42 (until2p29(s76) | (~xuntil2p30(s75))),
% 5.54/4.42 inference(unit_resolution,[status(thm)],[22118, 6400, 20808])).
% 5.54/4.42 tff(22120,plain,
% 5.54/4.42 (~xuntil2p30(s75)),
% 5.54/4.42 inference(unit_resolution,[status(thm)],[22119, 22115])).
% 5.54/4.42 tff(22121,plain,
% 5.54/4.42 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s75) | xuntil2p30(s75) | (~until2p29(s75)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s75) | xuntil2p30(s75) | (~until2p29(s75)))),
% 5.54/4.42 inference(rewrite,[status(thm)],[])).
% 5.54/4.42 tff(22122,plain,
% 5.54/4.42 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s75) | xuntil2p30(s75) | (~until2p29(s75)))),
% 5.54/4.42 inference(quant_inst,[status(thm)],[])).
% 5.54/4.42 tff(22123,plain,
% 5.54/4.42 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s75) | xuntil2p30(s75) | (~until2p29(s75))),
% 5.54/4.42 inference(modus_ponens,[status(thm)],[22122, 22121])).
% 5.54/4.42 tff(22124,plain,
% 5.54/4.42 (xuntil2p30(s75) | (~until2p29(s75))),
% 5.54/4.42 inference(unit_resolution,[status(thm)],[22123, 20793, 17439])).
% 5.54/4.42 tff(22125,plain,
% 5.54/4.42 (~until2p29(s75)),
% 5.54/4.42 inference(unit_resolution,[status(thm)],[22124, 22120])).
% 5.54/4.42 tff(22126,plain,
% 5.54/4.42 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s74, s75)) | until2p29(s75) | (~xuntil2p30(s74)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s74, s75)) | until2p29(s75) | (~xuntil2p30(s74)))),
% 5.54/4.42 inference(rewrite,[status(thm)],[])).
% 5.54/4.42 tff(22127,plain,
% 5.54/4.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s74, s75)) | until2p29(s75) | (~xuntil2p30(s74)))),
% 5.54/4.42 inference(quant_inst,[status(thm)],[])).
% 5.54/4.42 tff(22128,plain,
% 5.54/4.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s74, s75)) | until2p29(s75) | (~xuntil2p30(s74))),
% 5.54/4.42 inference(modus_ponens,[status(thm)],[22127, 22126])).
% 5.54/4.42 tff(22129,plain,
% 5.54/4.42 (until2p29(s75) | (~xuntil2p30(s74))),
% 5.54/4.42 inference(unit_resolution,[status(thm)],[22128, 6322, 20808])).
% 5.54/4.42 tff(22130,plain,
% 5.54/4.42 (~xuntil2p30(s74)),
% 5.54/4.42 inference(unit_resolution,[status(thm)],[22129, 22125])).
% 5.54/4.42 tff(22131,plain,
% 5.54/4.42 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s74) | xuntil2p30(s74) | (~until2p29(s74)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s74) | xuntil2p30(s74) | (~until2p29(s74)))),
% 5.54/4.42 inference(rewrite,[status(thm)],[])).
% 5.54/4.42 tff(22132,plain,
% 5.54/4.42 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s74) | xuntil2p30(s74) | (~until2p29(s74)))),
% 5.54/4.42 inference(quant_inst,[status(thm)],[])).
% 5.54/4.42 tff(22133,plain,
% 5.54/4.42 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s74) | xuntil2p30(s74) | (~until2p29(s74))),
% 5.54/4.42 inference(modus_ponens,[status(thm)],[22132, 22131])).
% 5.54/4.42 tff(22134,plain,
% 5.54/4.42 (xuntil2p30(s74) | (~until2p29(s74))),
% 5.54/4.42 inference(unit_resolution,[status(thm)],[22133, 20793, 17448])).
% 5.54/4.42 tff(22135,plain,
% 5.54/4.42 (~until2p29(s74)),
% 5.54/4.42 inference(unit_resolution,[status(thm)],[22134, 22130])).
% 5.54/4.42 tff(22136,plain,
% 5.54/4.42 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s73, s74)) | until2p29(s74) | (~xuntil2p30(s73)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s73, s74)) | until2p29(s74) | (~xuntil2p30(s73)))),
% 5.54/4.42 inference(rewrite,[status(thm)],[])).
% 5.54/4.42 tff(22137,plain,
% 5.54/4.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s73, s74)) | until2p29(s74) | (~xuntil2p30(s73)))),
% 5.54/4.42 inference(quant_inst,[status(thm)],[])).
% 5.54/4.42 tff(22138,plain,
% 5.54/4.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s73, s74)) | until2p29(s74) | (~xuntil2p30(s73))),
% 5.54/4.42 inference(modus_ponens,[status(thm)],[22137, 22136])).
% 5.54/4.42 tff(22139,plain,
% 5.54/4.42 (until2p29(s74) | (~xuntil2p30(s73))),
% 5.54/4.42 inference(unit_resolution,[status(thm)],[22138, 6223, 20808])).
% 5.54/4.42 tff(22140,plain,
% 5.54/4.42 (~xuntil2p30(s73)),
% 5.54/4.42 inference(unit_resolution,[status(thm)],[22139, 22135])).
% 5.54/4.42 tff(22141,plain,
% 5.54/4.42 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s73) | xuntil2p30(s73) | (~until2p29(s73)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s73) | xuntil2p30(s73) | (~until2p29(s73)))),
% 5.54/4.42 inference(rewrite,[status(thm)],[])).
% 5.54/4.42 tff(22142,plain,
% 5.54/4.42 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s73) | xuntil2p30(s73) | (~until2p29(s73)))),
% 5.54/4.42 inference(quant_inst,[status(thm)],[])).
% 5.54/4.42 tff(22143,plain,
% 5.54/4.42 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s73) | xuntil2p30(s73) | (~until2p29(s73))),
% 5.54/4.42 inference(modus_ponens,[status(thm)],[22142, 22141])).
% 5.54/4.42 tff(22144,plain,
% 5.54/4.42 (xuntil2p30(s73) | (~until2p29(s73))),
% 5.54/4.42 inference(unit_resolution,[status(thm)],[22143, 20793, 17452])).
% 5.54/4.42 tff(22145,plain,
% 5.54/4.42 (~until2p29(s73)),
% 5.54/4.42 inference(unit_resolution,[status(thm)],[22144, 22140])).
% 5.54/4.42 tff(22146,plain,
% 5.54/4.42 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s72, s73)) | until2p29(s73) | (~xuntil2p30(s72)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s72, s73)) | until2p29(s73) | (~xuntil2p30(s72)))),
% 5.54/4.42 inference(rewrite,[status(thm)],[])).
% 5.54/4.42 tff(22147,plain,
% 5.54/4.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s72, s73)) | until2p29(s73) | (~xuntil2p30(s72)))),
% 5.54/4.42 inference(quant_inst,[status(thm)],[])).
% 5.54/4.42 tff(22148,plain,
% 5.54/4.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s72, s73)) | until2p29(s73) | (~xuntil2p30(s72))),
% 5.54/4.42 inference(modus_ponens,[status(thm)],[22147, 22146])).
% 5.54/4.42 tff(22149,plain,
% 5.54/4.42 (until2p29(s73) | (~xuntil2p30(s72))),
% 5.54/4.43 inference(unit_resolution,[status(thm)],[22148, 6156, 20808])).
% 5.54/4.43 tff(22150,plain,
% 5.54/4.43 (~xuntil2p30(s72)),
% 5.54/4.43 inference(unit_resolution,[status(thm)],[22149, 22145])).
% 5.54/4.43 tff(22151,plain,
% 5.54/4.43 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s72) | xuntil2p30(s72) | (~until2p29(s72)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s72) | xuntil2p30(s72) | (~until2p29(s72)))),
% 5.54/4.43 inference(rewrite,[status(thm)],[])).
% 5.54/4.43 tff(22152,plain,
% 5.54/4.43 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s72) | xuntil2p30(s72) | (~until2p29(s72)))),
% 5.54/4.43 inference(quant_inst,[status(thm)],[])).
% 5.54/4.43 tff(22153,plain,
% 5.54/4.43 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s72) | xuntil2p30(s72) | (~until2p29(s72))),
% 5.54/4.43 inference(modus_ponens,[status(thm)],[22152, 22151])).
% 5.54/4.43 tff(22154,plain,
% 5.54/4.43 (xuntil2p30(s72) | (~until2p29(s72))),
% 5.54/4.43 inference(unit_resolution,[status(thm)],[22153, 20793, 18979])).
% 5.54/4.43 tff(22155,plain,
% 5.54/4.43 (~until2p29(s72)),
% 5.54/4.43 inference(unit_resolution,[status(thm)],[22154, 22150])).
% 5.54/4.43 tff(22156,plain,
% 5.54/4.43 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s71, s72)) | until2p29(s72) | (~xuntil2p30(s71)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s71, s72)) | until2p29(s72) | (~xuntil2p30(s71)))),
% 5.54/4.43 inference(rewrite,[status(thm)],[])).
% 5.54/4.43 tff(22157,plain,
% 5.54/4.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s71, s72)) | until2p29(s72) | (~xuntil2p30(s71)))),
% 5.54/4.43 inference(quant_inst,[status(thm)],[])).
% 5.54/4.43 tff(22158,plain,
% 5.54/4.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s71, s72)) | until2p29(s72) | (~xuntil2p30(s71))),
% 5.54/4.43 inference(modus_ponens,[status(thm)],[22157, 22156])).
% 5.54/4.43 tff(22159,plain,
% 5.54/4.43 (until2p29(s72) | (~xuntil2p30(s71))),
% 5.54/4.43 inference(unit_resolution,[status(thm)],[22158, 6067, 20808])).
% 5.54/4.43 tff(22160,plain,
% 5.54/4.43 (~xuntil2p30(s71)),
% 5.54/4.43 inference(unit_resolution,[status(thm)],[22159, 22155])).
% 5.54/4.43 tff(22161,plain,
% 5.54/4.43 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s71) | xuntil2p30(s71) | (~until2p29(s71)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s71) | xuntil2p30(s71) | (~until2p29(s71)))),
% 5.54/4.43 inference(rewrite,[status(thm)],[])).
% 5.54/4.43 tff(22162,plain,
% 5.54/4.43 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s71) | xuntil2p30(s71) | (~until2p29(s71)))),
% 5.54/4.43 inference(quant_inst,[status(thm)],[])).
% 5.54/4.43 tff(22163,plain,
% 5.54/4.43 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s71) | xuntil2p30(s71) | (~until2p29(s71))),
% 5.54/4.43 inference(modus_ponens,[status(thm)],[22162, 22161])).
% 5.54/4.43 tff(22164,plain,
% 5.54/4.43 (xuntil2p30(s71) | (~until2p29(s71))),
% 5.54/4.43 inference(unit_resolution,[status(thm)],[22163, 20793, 17468])).
% 5.54/4.43 tff(22165,plain,
% 5.54/4.43 (~until2p29(s71)),
% 5.54/4.43 inference(unit_resolution,[status(thm)],[22164, 22160])).
% 5.54/4.43 tff(22166,plain,
% 5.54/4.43 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s70, s71)) | until2p29(s71) | (~xuntil2p30(s70)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s70, s71)) | until2p29(s71) | (~xuntil2p30(s70)))),
% 5.54/4.43 inference(rewrite,[status(thm)],[])).
% 5.54/4.43 tff(22167,plain,
% 5.54/4.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s70, s71)) | until2p29(s71) | (~xuntil2p30(s70)))),
% 5.54/4.43 inference(quant_inst,[status(thm)],[])).
% 5.54/4.43 tff(22168,plain,
% 5.54/4.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s70, s71)) | until2p29(s71) | (~xuntil2p30(s70))),
% 5.54/4.43 inference(modus_ponens,[status(thm)],[22167, 22166])).
% 5.54/4.43 tff(22169,plain,
% 5.54/4.43 (until2p29(s71) | (~xuntil2p30(s70))),
% 5.54/4.43 inference(unit_resolution,[status(thm)],[22168, 5992, 20808])).
% 5.54/4.43 tff(22170,plain,
% 5.54/4.43 (~xuntil2p30(s70)),
% 5.54/4.43 inference(unit_resolution,[status(thm)],[22169, 22165])).
% 5.54/4.43 tff(22171,plain,
% 5.54/4.43 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s70) | xuntil2p30(s70) | (~until2p29(s70)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s70) | xuntil2p30(s70) | (~until2p29(s70)))),
% 5.54/4.43 inference(rewrite,[status(thm)],[])).
% 5.54/4.43 tff(22172,plain,
% 5.54/4.43 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s70) | xuntil2p30(s70) | (~until2p29(s70)))),
% 5.54/4.43 inference(quant_inst,[status(thm)],[])).
% 5.54/4.43 tff(22173,plain,
% 5.54/4.43 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s70) | xuntil2p30(s70) | (~until2p29(s70))),
% 5.54/4.43 inference(modus_ponens,[status(thm)],[22172, 22171])).
% 5.54/4.43 tff(22174,plain,
% 5.54/4.43 (xuntil2p30(s70) | (~until2p29(s70))),
% 5.54/4.43 inference(unit_resolution,[status(thm)],[22173, 20793, 17477])).
% 5.54/4.43 tff(22175,plain,
% 5.54/4.43 (~until2p29(s70)),
% 5.54/4.43 inference(unit_resolution,[status(thm)],[22174, 22170])).
% 5.54/4.43 tff(22176,plain,
% 5.54/4.43 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s69, s70)) | until2p29(s70) | (~xuntil2p30(s69)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s69, s70)) | until2p29(s70) | (~xuntil2p30(s69)))),
% 5.54/4.43 inference(rewrite,[status(thm)],[])).
% 5.54/4.43 tff(22177,plain,
% 5.54/4.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s69, s70)) | until2p29(s70) | (~xuntil2p30(s69)))),
% 5.54/4.43 inference(quant_inst,[status(thm)],[])).
% 5.54/4.43 tff(22178,plain,
% 5.54/4.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s69, s70)) | until2p29(s70) | (~xuntil2p30(s69))),
% 5.54/4.43 inference(modus_ponens,[status(thm)],[22177, 22176])).
% 5.54/4.43 tff(22179,plain,
% 5.54/4.43 (until2p29(s70) | (~xuntil2p30(s69))),
% 5.54/4.43 inference(unit_resolution,[status(thm)],[22178, 5928, 20808])).
% 5.54/4.43 tff(22180,plain,
% 5.54/4.43 (~xuntil2p30(s69)),
% 5.54/4.43 inference(unit_resolution,[status(thm)],[22179, 22175])).
% 5.54/4.43 tff(22181,plain,
% 5.54/4.43 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s69) | xuntil2p30(s69) | (~until2p29(s69)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s69) | xuntil2p30(s69) | (~until2p29(s69)))),
% 5.54/4.43 inference(rewrite,[status(thm)],[])).
% 5.54/4.43 tff(22182,plain,
% 5.54/4.43 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s69) | xuntil2p30(s69) | (~until2p29(s69)))),
% 5.54/4.43 inference(quant_inst,[status(thm)],[])).
% 5.54/4.43 tff(22183,plain,
% 5.54/4.43 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s69) | xuntil2p30(s69) | (~until2p29(s69))),
% 5.54/4.43 inference(modus_ponens,[status(thm)],[22182, 22181])).
% 5.54/4.43 tff(22184,plain,
% 5.54/4.43 (xuntil2p30(s69) | (~until2p29(s69))),
% 5.54/4.43 inference(unit_resolution,[status(thm)],[22183, 20793, 17481])).
% 5.54/4.43 tff(22185,plain,
% 5.54/4.43 (~until2p29(s69)),
% 5.54/4.43 inference(unit_resolution,[status(thm)],[22184, 22180])).
% 5.54/4.43 tff(22186,plain,
% 5.54/4.43 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s68, s69)) | until2p29(s69) | (~xuntil2p30(s68)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s68, s69)) | until2p29(s69) | (~xuntil2p30(s68)))),
% 5.54/4.43 inference(rewrite,[status(thm)],[])).
% 5.54/4.43 tff(22187,plain,
% 5.54/4.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s68, s69)) | until2p29(s69) | (~xuntil2p30(s68)))),
% 5.54/4.43 inference(quant_inst,[status(thm)],[])).
% 5.54/4.43 tff(22188,plain,
% 5.54/4.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s68, s69)) | until2p29(s69) | (~xuntil2p30(s68))),
% 5.54/4.43 inference(modus_ponens,[status(thm)],[22187, 22186])).
% 5.54/4.43 tff(22189,plain,
% 5.54/4.43 (until2p29(s69) | (~xuntil2p30(s68))),
% 5.54/4.43 inference(unit_resolution,[status(thm)],[22188, 5833, 20808])).
% 5.54/4.43 tff(22190,plain,
% 5.54/4.43 (~xuntil2p30(s68)),
% 5.54/4.43 inference(unit_resolution,[status(thm)],[22189, 22185])).
% 5.54/4.43 tff(22191,plain,
% 5.54/4.43 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s68) | xuntil2p30(s68) | (~until2p29(s68)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s68) | xuntil2p30(s68) | (~until2p29(s68)))),
% 5.54/4.43 inference(rewrite,[status(thm)],[])).
% 5.54/4.43 tff(22192,plain,
% 5.54/4.43 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s68) | xuntil2p30(s68) | (~until2p29(s68)))),
% 5.54/4.43 inference(quant_inst,[status(thm)],[])).
% 5.54/4.43 tff(22193,plain,
% 5.54/4.43 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s68) | xuntil2p30(s68) | (~until2p29(s68))),
% 5.54/4.43 inference(modus_ponens,[status(thm)],[22192, 22191])).
% 5.54/4.43 tff(22194,plain,
% 5.54/4.43 (xuntil2p30(s68) | (~until2p29(s68))),
% 5.54/4.43 inference(unit_resolution,[status(thm)],[22193, 20793, 18925])).
% 5.54/4.43 tff(22195,plain,
% 5.54/4.43 (~until2p29(s68)),
% 5.54/4.43 inference(unit_resolution,[status(thm)],[22194, 22190])).
% 5.54/4.43 tff(22196,plain,
% 5.54/4.43 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s67, s68)) | until2p29(s68) | (~xuntil2p30(s67)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s67, s68)) | until2p29(s68) | (~xuntil2p30(s67)))),
% 5.54/4.43 inference(rewrite,[status(thm)],[])).
% 5.54/4.43 tff(22197,plain,
% 5.54/4.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s67, s68)) | until2p29(s68) | (~xuntil2p30(s67)))),
% 5.54/4.43 inference(quant_inst,[status(thm)],[])).
% 5.54/4.43 tff(22198,plain,
% 5.54/4.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s67, s68)) | until2p29(s68) | (~xuntil2p30(s67))),
% 5.54/4.43 inference(modus_ponens,[status(thm)],[22197, 22196])).
% 5.54/4.43 tff(22199,plain,
% 5.54/4.43 (until2p29(s68) | (~xuntil2p30(s67))),
% 5.54/4.43 inference(unit_resolution,[status(thm)],[22198, 5772, 20808])).
% 5.54/4.43 tff(22200,plain,
% 5.54/4.43 (~xuntil2p30(s67)),
% 5.54/4.43 inference(unit_resolution,[status(thm)],[22199, 22195])).
% 5.54/4.43 tff(22201,plain,
% 5.54/4.43 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s67) | xuntil2p30(s67) | (~until2p29(s67)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s67) | xuntil2p30(s67) | (~until2p29(s67)))),
% 5.54/4.43 inference(rewrite,[status(thm)],[])).
% 5.54/4.43 tff(22202,plain,
% 5.54/4.43 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s67) | xuntil2p30(s67) | (~until2p29(s67)))),
% 5.54/4.43 inference(quant_inst,[status(thm)],[])).
% 5.54/4.43 tff(22203,plain,
% 5.54/4.43 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s67) | xuntil2p30(s67) | (~until2p29(s67))),
% 5.54/4.43 inference(modus_ponens,[status(thm)],[22202, 22201])).
% 5.54/4.43 tff(22204,plain,
% 5.54/4.43 (xuntil2p30(s67) | (~until2p29(s67))),
% 5.54/4.43 inference(unit_resolution,[status(thm)],[22203, 20793, 17497])).
% 5.54/4.43 tff(22205,plain,
% 5.54/4.43 (~until2p29(s67)),
% 5.54/4.43 inference(unit_resolution,[status(thm)],[22204, 22200])).
% 5.54/4.43 tff(22206,plain,
% 5.54/4.43 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s66, s67)) | until2p29(s67) | (~xuntil2p30(s66)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s66, s67)) | until2p29(s67) | (~xuntil2p30(s66)))),
% 5.54/4.43 inference(rewrite,[status(thm)],[])).
% 5.54/4.43 tff(22207,plain,
% 5.54/4.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s66, s67)) | until2p29(s67) | (~xuntil2p30(s66)))),
% 5.54/4.43 inference(quant_inst,[status(thm)],[])).
% 5.54/4.43 tff(22208,plain,
% 5.54/4.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s66, s67)) | until2p29(s67) | (~xuntil2p30(s66))),
% 5.54/4.43 inference(modus_ponens,[status(thm)],[22207, 22206])).
% 5.54/4.43 tff(22209,plain,
% 5.54/4.43 (until2p29(s67) | (~xuntil2p30(s66))),
% 5.54/4.43 inference(unit_resolution,[status(thm)],[22208, 5694, 20808])).
% 5.54/4.43 tff(22210,plain,
% 5.54/4.43 (~xuntil2p30(s66)),
% 5.54/4.43 inference(unit_resolution,[status(thm)],[22209, 22205])).
% 5.54/4.43 tff(22211,plain,
% 5.54/4.43 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s66) | xuntil2p30(s66) | (~until2p29(s66)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s66) | xuntil2p30(s66) | (~until2p29(s66)))),
% 5.54/4.43 inference(rewrite,[status(thm)],[])).
% 5.54/4.43 tff(22212,plain,
% 5.54/4.43 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s66) | xuntil2p30(s66) | (~until2p29(s66)))),
% 5.54/4.43 inference(quant_inst,[status(thm)],[])).
% 5.54/4.43 tff(22213,plain,
% 5.54/4.43 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s66) | xuntil2p30(s66) | (~until2p29(s66))),
% 5.54/4.43 inference(modus_ponens,[status(thm)],[22212, 22211])).
% 5.54/4.43 tff(22214,plain,
% 5.54/4.43 (xuntil2p30(s66) | (~until2p29(s66))),
% 5.54/4.43 inference(unit_resolution,[status(thm)],[22213, 20793, 17506])).
% 5.54/4.43 tff(22215,plain,
% 5.54/4.43 (~until2p29(s66)),
% 5.54/4.43 inference(unit_resolution,[status(thm)],[22214, 22210])).
% 5.54/4.43 tff(22216,plain,
% 5.54/4.43 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s65, s66)) | until2p29(s66) | (~xuntil2p30(s65)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s65, s66)) | until2p29(s66) | (~xuntil2p30(s65)))),
% 5.54/4.43 inference(rewrite,[status(thm)],[])).
% 5.54/4.43 tff(22217,plain,
% 5.54/4.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s65, s66)) | until2p29(s66) | (~xuntil2p30(s65)))),
% 5.54/4.43 inference(quant_inst,[status(thm)],[])).
% 5.54/4.43 tff(22218,plain,
% 5.54/4.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s65, s66)) | until2p29(s66) | (~xuntil2p30(s65))),
% 5.54/4.43 inference(modus_ponens,[status(thm)],[22217, 22216])).
% 5.54/4.43 tff(22219,plain,
% 5.54/4.43 (until2p29(s66) | (~xuntil2p30(s65))),
% 5.54/4.43 inference(unit_resolution,[status(thm)],[22218, 5595, 20808])).
% 5.54/4.43 tff(22220,plain,
% 5.54/4.43 (~xuntil2p30(s65)),
% 5.54/4.43 inference(unit_resolution,[status(thm)],[22219, 22215])).
% 5.54/4.43 tff(22221,plain,
% 5.54/4.43 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s65) | xuntil2p30(s65) | (~until2p29(s65)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s65) | xuntil2p30(s65) | (~until2p29(s65)))),
% 5.54/4.43 inference(rewrite,[status(thm)],[])).
% 5.54/4.43 tff(22222,plain,
% 5.54/4.43 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s65) | xuntil2p30(s65) | (~until2p29(s65)))),
% 5.54/4.43 inference(quant_inst,[status(thm)],[])).
% 5.54/4.43 tff(22223,plain,
% 5.54/4.43 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s65) | xuntil2p30(s65) | (~until2p29(s65))),
% 5.54/4.43 inference(modus_ponens,[status(thm)],[22222, 22221])).
% 5.54/4.43 tff(22224,plain,
% 5.54/4.43 (xuntil2p30(s65) | (~until2p29(s65))),
% 5.54/4.43 inference(unit_resolution,[status(thm)],[22223, 20793, 17510])).
% 5.54/4.43 tff(22225,plain,
% 5.54/4.43 (~until2p29(s65)),
% 5.54/4.43 inference(unit_resolution,[status(thm)],[22224, 22220])).
% 5.54/4.43 tff(22226,plain,
% 5.54/4.43 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s64, s65)) | until2p29(s65) | (~xuntil2p30(s64)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s64, s65)) | until2p29(s65) | (~xuntil2p30(s64)))),
% 5.54/4.43 inference(rewrite,[status(thm)],[])).
% 5.54/4.43 tff(22227,plain,
% 5.54/4.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s64, s65)) | until2p29(s65) | (~xuntil2p30(s64)))),
% 5.54/4.43 inference(quant_inst,[status(thm)],[])).
% 5.54/4.43 tff(22228,plain,
% 5.54/4.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s64, s65)) | until2p29(s65) | (~xuntil2p30(s64))),
% 5.54/4.43 inference(modus_ponens,[status(thm)],[22227, 22226])).
% 5.54/4.43 tff(22229,plain,
% 5.54/4.43 (until2p29(s65) | (~xuntil2p30(s64))),
% 5.54/4.43 inference(unit_resolution,[status(thm)],[22228, 5528, 20808])).
% 5.54/4.43 tff(22230,plain,
% 5.54/4.43 (~xuntil2p30(s64)),
% 5.54/4.43 inference(unit_resolution,[status(thm)],[22229, 22225])).
% 5.54/4.43 tff(22231,plain,
% 5.54/4.43 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s64) | xuntil2p30(s64) | (~until2p29(s64)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s64) | xuntil2p30(s64) | (~until2p29(s64)))),
% 5.54/4.43 inference(rewrite,[status(thm)],[])).
% 5.54/4.43 tff(22232,plain,
% 5.54/4.43 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s64) | xuntil2p30(s64) | (~until2p29(s64)))),
% 5.54/4.43 inference(quant_inst,[status(thm)],[])).
% 5.54/4.43 tff(22233,plain,
% 5.54/4.43 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s64) | xuntil2p30(s64) | (~until2p29(s64))),
% 5.54/4.43 inference(modus_ponens,[status(thm)],[22232, 22231])).
% 5.54/4.43 tff(22234,plain,
% 5.54/4.43 (xuntil2p30(s64) | (~until2p29(s64))),
% 5.54/4.43 inference(unit_resolution,[status(thm)],[22233, 20793, 18871])).
% 5.54/4.43 tff(22235,plain,
% 5.54/4.43 (~until2p29(s64)),
% 5.54/4.43 inference(unit_resolution,[status(thm)],[22234, 22230])).
% 5.54/4.43 tff(22236,plain,
% 5.54/4.43 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s63, s64)) | until2p29(s64) | (~xuntil2p30(s63)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s63, s64)) | until2p29(s64) | (~xuntil2p30(s63)))),
% 5.54/4.43 inference(rewrite,[status(thm)],[])).
% 5.54/4.43 tff(22237,plain,
% 5.54/4.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s63, s64)) | until2p29(s64) | (~xuntil2p30(s63)))),
% 5.54/4.43 inference(quant_inst,[status(thm)],[])).
% 5.54/4.43 tff(22238,plain,
% 5.54/4.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s63, s64)) | until2p29(s64) | (~xuntil2p30(s63))),
% 5.54/4.43 inference(modus_ponens,[status(thm)],[22237, 22236])).
% 5.54/4.43 tff(22239,plain,
% 5.54/4.43 (until2p29(s64) | (~xuntil2p30(s63))),
% 5.54/4.43 inference(unit_resolution,[status(thm)],[22238, 5439, 20808])).
% 5.54/4.43 tff(22240,plain,
% 5.54/4.43 (~xuntil2p30(s63)),
% 5.54/4.43 inference(unit_resolution,[status(thm)],[22239, 22235])).
% 5.54/4.43 tff(22241,plain,
% 5.54/4.43 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s63) | xuntil2p30(s63) | (~until2p29(s63)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s63) | xuntil2p30(s63) | (~until2p29(s63)))),
% 5.54/4.43 inference(rewrite,[status(thm)],[])).
% 5.54/4.43 tff(22242,plain,
% 5.54/4.43 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s63) | xuntil2p30(s63) | (~until2p29(s63)))),
% 5.54/4.43 inference(quant_inst,[status(thm)],[])).
% 5.54/4.43 tff(22243,plain,
% 5.54/4.43 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s63) | xuntil2p30(s63) | (~until2p29(s63))),
% 5.54/4.43 inference(modus_ponens,[status(thm)],[22242, 22241])).
% 5.54/4.43 tff(22244,plain,
% 5.54/4.43 (xuntil2p30(s63) | (~until2p29(s63))),
% 5.54/4.43 inference(unit_resolution,[status(thm)],[22243, 20793, 17526])).
% 5.54/4.43 tff(22245,plain,
% 5.54/4.43 (~until2p29(s63)),
% 5.54/4.43 inference(unit_resolution,[status(thm)],[22244, 22240])).
% 5.54/4.43 tff(22246,plain,
% 5.54/4.43 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s62, s63)) | until2p29(s63) | (~xuntil2p30(s62)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s62, s63)) | until2p29(s63) | (~xuntil2p30(s62)))),
% 5.54/4.43 inference(rewrite,[status(thm)],[])).
% 5.54/4.43 tff(22247,plain,
% 5.54/4.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s62, s63)) | until2p29(s63) | (~xuntil2p30(s62)))),
% 5.54/4.43 inference(quant_inst,[status(thm)],[])).
% 5.54/4.43 tff(22248,plain,
% 5.54/4.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s62, s63)) | until2p29(s63) | (~xuntil2p30(s62))),
% 5.54/4.43 inference(modus_ponens,[status(thm)],[22247, 22246])).
% 5.54/4.43 tff(22249,plain,
% 5.54/4.43 (until2p29(s63) | (~xuntil2p30(s62))),
% 5.54/4.43 inference(unit_resolution,[status(thm)],[22248, 5364, 20808])).
% 5.54/4.43 tff(22250,plain,
% 5.54/4.43 (~xuntil2p30(s62)),
% 5.54/4.43 inference(unit_resolution,[status(thm)],[22249, 22245])).
% 5.54/4.43 tff(22251,plain,
% 5.54/4.43 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s62) | xuntil2p30(s62) | (~until2p29(s62)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s62) | xuntil2p30(s62) | (~until2p29(s62)))),
% 5.54/4.43 inference(rewrite,[status(thm)],[])).
% 5.54/4.43 tff(22252,plain,
% 5.54/4.43 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s62) | xuntil2p30(s62) | (~until2p29(s62)))),
% 5.54/4.43 inference(quant_inst,[status(thm)],[])).
% 5.54/4.43 tff(22253,plain,
% 5.54/4.43 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s62) | xuntil2p30(s62) | (~until2p29(s62))),
% 5.54/4.43 inference(modus_ponens,[status(thm)],[22252, 22251])).
% 5.54/4.43 tff(22254,plain,
% 5.54/4.43 (xuntil2p30(s62) | (~until2p29(s62))),
% 5.54/4.43 inference(unit_resolution,[status(thm)],[22253, 20793, 17535])).
% 5.54/4.43 tff(22255,plain,
% 5.54/4.43 (~until2p29(s62)),
% 5.54/4.43 inference(unit_resolution,[status(thm)],[22254, 22250])).
% 5.54/4.43 tff(22256,plain,
% 5.54/4.43 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s61, s62)) | until2p29(s62) | (~xuntil2p30(s61)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s61, s62)) | until2p29(s62) | (~xuntil2p30(s61)))),
% 5.54/4.43 inference(rewrite,[status(thm)],[])).
% 5.54/4.43 tff(22257,plain,
% 5.54/4.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s61, s62)) | until2p29(s62) | (~xuntil2p30(s61)))),
% 5.54/4.43 inference(quant_inst,[status(thm)],[])).
% 5.54/4.43 tff(22258,plain,
% 5.54/4.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s61, s62)) | until2p29(s62) | (~xuntil2p30(s61))),
% 5.54/4.43 inference(modus_ponens,[status(thm)],[22257, 22256])).
% 5.54/4.43 tff(22259,plain,
% 5.54/4.43 (until2p29(s62) | (~xuntil2p30(s61))),
% 5.54/4.43 inference(unit_resolution,[status(thm)],[22258, 5300, 20808])).
% 5.54/4.43 tff(22260,plain,
% 5.54/4.43 (~xuntil2p30(s61)),
% 5.54/4.43 inference(unit_resolution,[status(thm)],[22259, 22255])).
% 5.54/4.43 tff(22261,plain,
% 5.54/4.43 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s61) | xuntil2p30(s61) | (~until2p29(s61)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s61) | xuntil2p30(s61) | (~until2p29(s61)))),
% 5.54/4.43 inference(rewrite,[status(thm)],[])).
% 5.54/4.43 tff(22262,plain,
% 5.54/4.43 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s61) | xuntil2p30(s61) | (~until2p29(s61)))),
% 5.54/4.43 inference(quant_inst,[status(thm)],[])).
% 5.54/4.43 tff(22263,plain,
% 5.54/4.43 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s61) | xuntil2p30(s61) | (~until2p29(s61))),
% 5.54/4.43 inference(modus_ponens,[status(thm)],[22262, 22261])).
% 5.54/4.43 tff(22264,plain,
% 5.54/4.43 (xuntil2p30(s61) | (~until2p29(s61))),
% 5.54/4.43 inference(unit_resolution,[status(thm)],[22263, 20793, 17539])).
% 5.54/4.43 tff(22265,plain,
% 5.54/4.43 (~until2p29(s61)),
% 5.54/4.43 inference(unit_resolution,[status(thm)],[22264, 22260])).
% 5.54/4.43 tff(22266,plain,
% 5.54/4.43 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s60, s61)) | until2p29(s61) | (~xuntil2p30(s60)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s60, s61)) | until2p29(s61) | (~xuntil2p30(s60)))),
% 5.54/4.43 inference(rewrite,[status(thm)],[])).
% 5.54/4.43 tff(22267,plain,
% 5.54/4.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s60, s61)) | until2p29(s61) | (~xuntil2p30(s60)))),
% 5.54/4.43 inference(quant_inst,[status(thm)],[])).
% 5.54/4.43 tff(22268,plain,
% 5.54/4.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s60, s61)) | until2p29(s61) | (~xuntil2p30(s60))),
% 5.54/4.43 inference(modus_ponens,[status(thm)],[22267, 22266])).
% 5.54/4.43 tff(22269,plain,
% 5.54/4.43 (until2p29(s61) | (~xuntil2p30(s60))),
% 5.54/4.43 inference(unit_resolution,[status(thm)],[22268, 5205, 20808])).
% 5.54/4.43 tff(22270,plain,
% 5.54/4.43 (~xuntil2p30(s60)),
% 5.54/4.43 inference(unit_resolution,[status(thm)],[22269, 22265])).
% 5.54/4.43 tff(22271,plain,
% 5.54/4.43 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s60) | xuntil2p30(s60) | (~until2p29(s60)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s60) | xuntil2p30(s60) | (~until2p29(s60)))),
% 5.54/4.43 inference(rewrite,[status(thm)],[])).
% 5.54/4.43 tff(22272,plain,
% 5.54/4.43 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s60) | xuntil2p30(s60) | (~until2p29(s60)))),
% 5.54/4.43 inference(quant_inst,[status(thm)],[])).
% 5.54/4.43 tff(22273,plain,
% 5.54/4.43 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s60) | xuntil2p30(s60) | (~until2p29(s60))),
% 5.54/4.43 inference(modus_ponens,[status(thm)],[22272, 22271])).
% 5.54/4.43 tff(22274,plain,
% 5.54/4.43 (xuntil2p30(s60) | (~until2p29(s60))),
% 5.54/4.43 inference(unit_resolution,[status(thm)],[22273, 20793, 18817])).
% 5.54/4.43 tff(22275,plain,
% 5.54/4.43 (~until2p29(s60)),
% 5.54/4.43 inference(unit_resolution,[status(thm)],[22274, 22270])).
% 5.54/4.43 tff(22276,plain,
% 5.54/4.43 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s59, s60)) | until2p29(s60) | (~xuntil2p30(s59)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s59, s60)) | until2p29(s60) | (~xuntil2p30(s59)))),
% 5.54/4.43 inference(rewrite,[status(thm)],[])).
% 5.54/4.43 tff(22277,plain,
% 5.54/4.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s59, s60)) | until2p29(s60) | (~xuntil2p30(s59)))),
% 5.54/4.43 inference(quant_inst,[status(thm)],[])).
% 5.54/4.43 tff(22278,plain,
% 5.54/4.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s59, s60)) | until2p29(s60) | (~xuntil2p30(s59))),
% 5.54/4.43 inference(modus_ponens,[status(thm)],[22277, 22276])).
% 5.54/4.43 tff(22279,plain,
% 5.54/4.43 (until2p29(s60) | (~xuntil2p30(s59))),
% 5.54/4.43 inference(unit_resolution,[status(thm)],[22278, 5144, 20808])).
% 5.54/4.43 tff(22280,plain,
% 5.54/4.43 (~xuntil2p30(s59)),
% 5.54/4.43 inference(unit_resolution,[status(thm)],[22279, 22275])).
% 5.54/4.43 tff(22281,plain,
% 5.54/4.43 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s59) | xuntil2p30(s59) | (~until2p29(s59)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s59) | xuntil2p30(s59) | (~until2p29(s59)))),
% 5.54/4.43 inference(rewrite,[status(thm)],[])).
% 5.54/4.43 tff(22282,plain,
% 5.54/4.43 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s59) | xuntil2p30(s59) | (~until2p29(s59)))),
% 5.54/4.43 inference(quant_inst,[status(thm)],[])).
% 5.54/4.43 tff(22283,plain,
% 5.54/4.43 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s59) | xuntil2p30(s59) | (~until2p29(s59))),
% 5.54/4.43 inference(modus_ponens,[status(thm)],[22282, 22281])).
% 5.54/4.43 tff(22284,plain,
% 5.54/4.43 (xuntil2p30(s59) | (~until2p29(s59))),
% 5.54/4.43 inference(unit_resolution,[status(thm)],[22283, 20793, 17555])).
% 5.54/4.43 tff(22285,plain,
% 5.54/4.43 (~until2p29(s59)),
% 5.54/4.43 inference(unit_resolution,[status(thm)],[22284, 22280])).
% 5.54/4.43 tff(22286,plain,
% 5.54/4.43 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s58, s59)) | until2p29(s59) | (~xuntil2p30(s58)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s58, s59)) | until2p29(s59) | (~xuntil2p30(s58)))),
% 5.54/4.43 inference(rewrite,[status(thm)],[])).
% 5.54/4.43 tff(22287,plain,
% 5.54/4.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s58, s59)) | until2p29(s59) | (~xuntil2p30(s58)))),
% 5.54/4.43 inference(quant_inst,[status(thm)],[])).
% 5.54/4.43 tff(22288,plain,
% 5.54/4.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s58, s59)) | until2p29(s59) | (~xuntil2p30(s58))),
% 5.54/4.43 inference(modus_ponens,[status(thm)],[22287, 22286])).
% 5.54/4.43 tff(22289,plain,
% 5.54/4.43 (until2p29(s59) | (~xuntil2p30(s58))),
% 5.54/4.43 inference(unit_resolution,[status(thm)],[22288, 5066, 20808])).
% 5.54/4.43 tff(22290,plain,
% 5.54/4.43 (~xuntil2p30(s58)),
% 5.54/4.43 inference(unit_resolution,[status(thm)],[22289, 22285])).
% 5.54/4.43 tff(22291,plain,
% 5.54/4.43 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s58) | xuntil2p30(s58) | (~until2p29(s58)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s58) | xuntil2p30(s58) | (~until2p29(s58)))),
% 5.54/4.43 inference(rewrite,[status(thm)],[])).
% 5.54/4.43 tff(22292,plain,
% 5.54/4.43 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s58) | xuntil2p30(s58) | (~until2p29(s58)))),
% 5.54/4.43 inference(quant_inst,[status(thm)],[])).
% 5.54/4.43 tff(22293,plain,
% 5.54/4.43 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s58) | xuntil2p30(s58) | (~until2p29(s58))),
% 5.54/4.43 inference(modus_ponens,[status(thm)],[22292, 22291])).
% 5.54/4.43 tff(22294,plain,
% 5.54/4.43 (xuntil2p30(s58) | (~until2p29(s58))),
% 5.54/4.43 inference(unit_resolution,[status(thm)],[22293, 20793, 17564])).
% 5.54/4.43 tff(22295,plain,
% 5.54/4.43 (~until2p29(s58)),
% 5.54/4.43 inference(unit_resolution,[status(thm)],[22294, 22290])).
% 5.54/4.43 tff(22296,plain,
% 5.54/4.43 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s57, s58)) | until2p29(s58) | (~xuntil2p30(s57)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s57, s58)) | until2p29(s58) | (~xuntil2p30(s57)))),
% 5.54/4.43 inference(rewrite,[status(thm)],[])).
% 5.54/4.43 tff(22297,plain,
% 5.54/4.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s57, s58)) | until2p29(s58) | (~xuntil2p30(s57)))),
% 5.54/4.43 inference(quant_inst,[status(thm)],[])).
% 5.54/4.43 tff(22298,plain,
% 5.54/4.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s57, s58)) | until2p29(s58) | (~xuntil2p30(s57))),
% 5.54/4.43 inference(modus_ponens,[status(thm)],[22297, 22296])).
% 5.54/4.43 tff(22299,plain,
% 5.54/4.43 (until2p29(s58) | (~xuntil2p30(s57))),
% 5.54/4.43 inference(unit_resolution,[status(thm)],[22298, 4967, 20808])).
% 5.54/4.43 tff(22300,plain,
% 5.54/4.43 (~xuntil2p30(s57)),
% 5.54/4.43 inference(unit_resolution,[status(thm)],[22299, 22295])).
% 5.54/4.43 tff(22301,plain,
% 5.54/4.43 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s57) | xuntil2p30(s57) | (~until2p29(s57)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s57) | xuntil2p30(s57) | (~until2p29(s57)))),
% 5.54/4.43 inference(rewrite,[status(thm)],[])).
% 5.54/4.43 tff(22302,plain,
% 5.54/4.43 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s57) | xuntil2p30(s57) | (~until2p29(s57)))),
% 5.54/4.43 inference(quant_inst,[status(thm)],[])).
% 5.54/4.43 tff(22303,plain,
% 5.54/4.43 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s57) | xuntil2p30(s57) | (~until2p29(s57))),
% 5.54/4.43 inference(modus_ponens,[status(thm)],[22302, 22301])).
% 5.54/4.43 tff(22304,plain,
% 5.54/4.43 (xuntil2p30(s57) | (~until2p29(s57))),
% 5.54/4.43 inference(unit_resolution,[status(thm)],[22303, 20793, 17568])).
% 5.54/4.43 tff(22305,plain,
% 5.54/4.43 (~until2p29(s57)),
% 5.54/4.43 inference(unit_resolution,[status(thm)],[22304, 22300])).
% 5.54/4.43 tff(22306,plain,
% 5.54/4.43 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s56, s57)) | until2p29(s57) | (~xuntil2p30(s56)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s56, s57)) | until2p29(s57) | (~xuntil2p30(s56)))),
% 5.54/4.43 inference(rewrite,[status(thm)],[])).
% 5.54/4.43 tff(22307,plain,
% 5.54/4.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s56, s57)) | until2p29(s57) | (~xuntil2p30(s56)))),
% 5.54/4.43 inference(quant_inst,[status(thm)],[])).
% 5.54/4.43 tff(22308,plain,
% 5.54/4.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s56, s57)) | until2p29(s57) | (~xuntil2p30(s56))),
% 5.54/4.43 inference(modus_ponens,[status(thm)],[22307, 22306])).
% 5.54/4.43 tff(22309,plain,
% 5.54/4.43 (until2p29(s57) | (~xuntil2p30(s56))),
% 5.54/4.43 inference(unit_resolution,[status(thm)],[22308, 4900, 20808])).
% 5.54/4.43 tff(22310,plain,
% 5.54/4.43 (~xuntil2p30(s56)),
% 5.54/4.43 inference(unit_resolution,[status(thm)],[22309, 22305])).
% 5.54/4.43 tff(22311,plain,
% 5.54/4.43 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s56) | xuntil2p30(s56) | (~until2p29(s56)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s56) | xuntil2p30(s56) | (~until2p29(s56)))),
% 5.54/4.43 inference(rewrite,[status(thm)],[])).
% 5.54/4.43 tff(22312,plain,
% 5.54/4.43 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s56) | xuntil2p30(s56) | (~until2p29(s56)))),
% 5.54/4.43 inference(quant_inst,[status(thm)],[])).
% 5.54/4.43 tff(22313,plain,
% 5.54/4.43 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s56) | xuntil2p30(s56) | (~until2p29(s56))),
% 5.54/4.43 inference(modus_ponens,[status(thm)],[22312, 22311])).
% 5.54/4.43 tff(22314,plain,
% 5.54/4.43 (xuntil2p30(s56) | (~until2p29(s56))),
% 5.54/4.43 inference(unit_resolution,[status(thm)],[22313, 20793, 18763])).
% 5.54/4.43 tff(22315,plain,
% 5.54/4.43 (~until2p29(s56)),
% 5.54/4.43 inference(unit_resolution,[status(thm)],[22314, 22310])).
% 5.54/4.43 tff(22316,plain,
% 5.54/4.43 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s55, s56)) | until2p29(s56) | (~xuntil2p30(s55)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s55, s56)) | until2p29(s56) | (~xuntil2p30(s55)))),
% 5.54/4.43 inference(rewrite,[status(thm)],[])).
% 5.54/4.43 tff(22317,plain,
% 5.54/4.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s55, s56)) | until2p29(s56) | (~xuntil2p30(s55)))),
% 5.60/4.43 inference(quant_inst,[status(thm)],[])).
% 5.60/4.43 tff(22318,plain,
% 5.60/4.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s55, s56)) | until2p29(s56) | (~xuntil2p30(s55))),
% 5.60/4.43 inference(modus_ponens,[status(thm)],[22317, 22316])).
% 5.60/4.43 tff(22319,plain,
% 5.60/4.43 (until2p29(s56) | (~xuntil2p30(s55))),
% 5.60/4.43 inference(unit_resolution,[status(thm)],[22318, 4811, 20808])).
% 5.60/4.43 tff(22320,plain,
% 5.60/4.43 (~xuntil2p30(s55)),
% 5.60/4.43 inference(unit_resolution,[status(thm)],[22319, 22315])).
% 5.60/4.43 tff(22321,plain,
% 5.60/4.43 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s55) | xuntil2p30(s55) | (~until2p29(s55)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s55) | xuntil2p30(s55) | (~until2p29(s55)))),
% 5.60/4.43 inference(rewrite,[status(thm)],[])).
% 5.60/4.43 tff(22322,plain,
% 5.60/4.43 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s55) | xuntil2p30(s55) | (~until2p29(s55)))),
% 5.60/4.43 inference(quant_inst,[status(thm)],[])).
% 5.60/4.43 tff(22323,plain,
% 5.60/4.43 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s55) | xuntil2p30(s55) | (~until2p29(s55))),
% 5.60/4.43 inference(modus_ponens,[status(thm)],[22322, 22321])).
% 5.60/4.43 tff(22324,plain,
% 5.60/4.43 (xuntil2p30(s55) | (~until2p29(s55))),
% 5.60/4.43 inference(unit_resolution,[status(thm)],[22323, 20793, 17584])).
% 5.60/4.43 tff(22325,plain,
% 5.60/4.43 (~until2p29(s55)),
% 5.60/4.43 inference(unit_resolution,[status(thm)],[22324, 22320])).
% 5.60/4.43 tff(22326,plain,
% 5.60/4.43 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s54, s55)) | until2p29(s55) | (~xuntil2p30(s54)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s54, s55)) | until2p29(s55) | (~xuntil2p30(s54)))),
% 5.60/4.43 inference(rewrite,[status(thm)],[])).
% 5.60/4.43 tff(22327,plain,
% 5.60/4.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s54, s55)) | until2p29(s55) | (~xuntil2p30(s54)))),
% 5.60/4.43 inference(quant_inst,[status(thm)],[])).
% 5.60/4.43 tff(22328,plain,
% 5.60/4.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s54, s55)) | until2p29(s55) | (~xuntil2p30(s54))),
% 5.60/4.43 inference(modus_ponens,[status(thm)],[22327, 22326])).
% 5.60/4.43 tff(22329,plain,
% 5.60/4.43 (until2p29(s55) | (~xuntil2p30(s54))),
% 5.60/4.43 inference(unit_resolution,[status(thm)],[22328, 4736, 20808])).
% 5.60/4.43 tff(22330,plain,
% 5.60/4.43 (~xuntil2p30(s54)),
% 5.60/4.43 inference(unit_resolution,[status(thm)],[22329, 22325])).
% 5.60/4.43 tff(22331,plain,
% 5.60/4.43 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s54) | xuntil2p30(s54) | (~until2p29(s54)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s54) | xuntil2p30(s54) | (~until2p29(s54)))),
% 5.60/4.43 inference(rewrite,[status(thm)],[])).
% 5.60/4.43 tff(22332,plain,
% 5.60/4.43 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s54) | xuntil2p30(s54) | (~until2p29(s54)))),
% 5.60/4.43 inference(quant_inst,[status(thm)],[])).
% 5.60/4.43 tff(22333,plain,
% 5.60/4.43 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s54) | xuntil2p30(s54) | (~until2p29(s54))),
% 5.60/4.43 inference(modus_ponens,[status(thm)],[22332, 22331])).
% 5.60/4.43 tff(22334,plain,
% 5.60/4.43 (xuntil2p30(s54) | (~until2p29(s54))),
% 5.60/4.43 inference(unit_resolution,[status(thm)],[22333, 20793, 17593])).
% 5.60/4.43 tff(22335,plain,
% 5.60/4.43 (~until2p29(s54)),
% 5.60/4.43 inference(unit_resolution,[status(thm)],[22334, 22330])).
% 5.60/4.43 tff(22336,plain,
% 5.60/4.43 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s53, s54)) | until2p29(s54) | (~xuntil2p30(s53)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s53, s54)) | until2p29(s54) | (~xuntil2p30(s53)))),
% 5.60/4.43 inference(rewrite,[status(thm)],[])).
% 5.60/4.43 tff(22337,plain,
% 5.60/4.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s53, s54)) | until2p29(s54) | (~xuntil2p30(s53)))),
% 5.60/4.43 inference(quant_inst,[status(thm)],[])).
% 5.60/4.43 tff(22338,plain,
% 5.60/4.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s53, s54)) | until2p29(s54) | (~xuntil2p30(s53))),
% 5.60/4.43 inference(modus_ponens,[status(thm)],[22337, 22336])).
% 5.60/4.43 tff(22339,plain,
% 5.60/4.43 (until2p29(s54) | (~xuntil2p30(s53))),
% 5.60/4.43 inference(unit_resolution,[status(thm)],[22338, 4672, 20808])).
% 5.60/4.43 tff(22340,plain,
% 5.60/4.43 (~xuntil2p30(s53)),
% 5.60/4.43 inference(unit_resolution,[status(thm)],[22339, 22335])).
% 5.60/4.43 tff(22341,plain,
% 5.60/4.43 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s53) | xuntil2p30(s53) | (~until2p29(s53)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s53) | xuntil2p30(s53) | (~until2p29(s53)))),
% 5.60/4.43 inference(rewrite,[status(thm)],[])).
% 5.60/4.43 tff(22342,plain,
% 5.60/4.43 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s53) | xuntil2p30(s53) | (~until2p29(s53)))),
% 5.60/4.43 inference(quant_inst,[status(thm)],[])).
% 5.60/4.43 tff(22343,plain,
% 5.60/4.43 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s53) | xuntil2p30(s53) | (~until2p29(s53))),
% 5.60/4.43 inference(modus_ponens,[status(thm)],[22342, 22341])).
% 5.60/4.43 tff(22344,plain,
% 5.60/4.43 (xuntil2p30(s53) | (~until2p29(s53))),
% 5.60/4.43 inference(unit_resolution,[status(thm)],[22343, 20793, 17597])).
% 5.60/4.43 tff(22345,plain,
% 5.60/4.43 (~until2p29(s53)),
% 5.60/4.43 inference(unit_resolution,[status(thm)],[22344, 22340])).
% 5.60/4.44 tff(22346,plain,
% 5.60/4.44 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s52, s53)) | until2p29(s53) | (~xuntil2p30(s52)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s52, s53)) | until2p29(s53) | (~xuntil2p30(s52)))),
% 5.60/4.44 inference(rewrite,[status(thm)],[])).
% 5.60/4.44 tff(22347,plain,
% 5.60/4.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s52, s53)) | until2p29(s53) | (~xuntil2p30(s52)))),
% 5.60/4.44 inference(quant_inst,[status(thm)],[])).
% 5.60/4.44 tff(22348,plain,
% 5.60/4.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s52, s53)) | until2p29(s53) | (~xuntil2p30(s52))),
% 5.60/4.44 inference(modus_ponens,[status(thm)],[22347, 22346])).
% 5.60/4.44 tff(22349,plain,
% 5.60/4.44 (until2p29(s53) | (~xuntil2p30(s52))),
% 5.60/4.44 inference(unit_resolution,[status(thm)],[22348, 4577, 20808])).
% 5.60/4.44 tff(22350,plain,
% 5.60/4.44 (~xuntil2p30(s52)),
% 5.60/4.44 inference(unit_resolution,[status(thm)],[22349, 22345])).
% 5.60/4.44 tff(22351,plain,
% 5.60/4.44 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s52) | xuntil2p30(s52) | (~until2p29(s52)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s52) | xuntil2p30(s52) | (~until2p29(s52)))),
% 5.60/4.44 inference(rewrite,[status(thm)],[])).
% 5.60/4.44 tff(22352,plain,
% 5.60/4.44 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s52) | xuntil2p30(s52) | (~until2p29(s52)))),
% 5.60/4.44 inference(quant_inst,[status(thm)],[])).
% 5.60/4.44 tff(22353,plain,
% 5.60/4.44 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s52) | xuntil2p30(s52) | (~until2p29(s52))),
% 5.60/4.44 inference(modus_ponens,[status(thm)],[22352, 22351])).
% 5.60/4.44 tff(22354,plain,
% 5.60/4.44 (xuntil2p30(s52) | (~until2p29(s52))),
% 5.60/4.44 inference(unit_resolution,[status(thm)],[22353, 20793, 18709])).
% 5.60/4.44 tff(22355,plain,
% 5.60/4.44 (~until2p29(s52)),
% 5.60/4.44 inference(unit_resolution,[status(thm)],[22354, 22350])).
% 5.60/4.44 tff(22356,plain,
% 5.60/4.44 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s51, s52)) | until2p29(s52) | (~xuntil2p30(s51)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s51, s52)) | until2p29(s52) | (~xuntil2p30(s51)))),
% 5.60/4.44 inference(rewrite,[status(thm)],[])).
% 5.60/4.44 tff(22357,plain,
% 5.60/4.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s51, s52)) | until2p29(s52) | (~xuntil2p30(s51)))),
% 5.60/4.44 inference(quant_inst,[status(thm)],[])).
% 5.60/4.44 tff(22358,plain,
% 5.60/4.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s51, s52)) | until2p29(s52) | (~xuntil2p30(s51))),
% 5.60/4.44 inference(modus_ponens,[status(thm)],[22357, 22356])).
% 5.60/4.44 tff(22359,plain,
% 5.60/4.44 (until2p29(s52) | (~xuntil2p30(s51))),
% 5.60/4.44 inference(unit_resolution,[status(thm)],[22358, 4516, 20808])).
% 5.60/4.44 tff(22360,plain,
% 5.60/4.44 (~xuntil2p30(s51)),
% 5.60/4.44 inference(unit_resolution,[status(thm)],[22359, 22355])).
% 5.60/4.44 tff(22361,plain,
% 5.60/4.44 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s51) | xuntil2p30(s51) | (~until2p29(s51)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s51) | xuntil2p30(s51) | (~until2p29(s51)))),
% 5.60/4.44 inference(rewrite,[status(thm)],[])).
% 5.60/4.44 tff(22362,plain,
% 5.60/4.44 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s51) | xuntil2p30(s51) | (~until2p29(s51)))),
% 5.60/4.44 inference(quant_inst,[status(thm)],[])).
% 5.60/4.44 tff(22363,plain,
% 5.60/4.44 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s51) | xuntil2p30(s51) | (~until2p29(s51))),
% 5.60/4.44 inference(modus_ponens,[status(thm)],[22362, 22361])).
% 5.60/4.44 tff(22364,plain,
% 5.60/4.44 (xuntil2p30(s51) | (~until2p29(s51))),
% 5.60/4.44 inference(unit_resolution,[status(thm)],[22363, 20793, 17613])).
% 5.60/4.44 tff(22365,plain,
% 5.60/4.44 (~until2p29(s51)),
% 5.60/4.44 inference(unit_resolution,[status(thm)],[22364, 22360])).
% 5.60/4.44 tff(22366,plain,
% 5.60/4.44 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s50, s51)) | until2p29(s51) | (~xuntil2p30(s50)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s50, s51)) | until2p29(s51) | (~xuntil2p30(s50)))),
% 5.60/4.44 inference(rewrite,[status(thm)],[])).
% 5.60/4.44 tff(22367,plain,
% 5.60/4.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s50, s51)) | until2p29(s51) | (~xuntil2p30(s50)))),
% 5.60/4.44 inference(quant_inst,[status(thm)],[])).
% 5.60/4.44 tff(22368,plain,
% 5.60/4.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s50, s51)) | until2p29(s51) | (~xuntil2p30(s50))),
% 5.60/4.44 inference(modus_ponens,[status(thm)],[22367, 22366])).
% 5.60/4.44 tff(22369,plain,
% 5.60/4.44 (until2p29(s51) | (~xuntil2p30(s50))),
% 5.60/4.44 inference(unit_resolution,[status(thm)],[22368, 4438, 20808])).
% 5.60/4.44 tff(22370,plain,
% 5.60/4.44 (~xuntil2p30(s50)),
% 5.60/4.44 inference(unit_resolution,[status(thm)],[22369, 22365])).
% 5.60/4.44 tff(22371,plain,
% 5.60/4.44 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s50) | xuntil2p30(s50) | (~until2p29(s50)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s50) | xuntil2p30(s50) | (~until2p29(s50)))),
% 5.60/4.44 inference(rewrite,[status(thm)],[])).
% 5.60/4.44 tff(22372,plain,
% 5.60/4.44 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s50) | xuntil2p30(s50) | (~until2p29(s50)))),
% 5.60/4.44 inference(quant_inst,[status(thm)],[])).
% 5.60/4.44 tff(22373,plain,
% 5.60/4.44 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s50) | xuntil2p30(s50) | (~until2p29(s50))),
% 5.60/4.44 inference(modus_ponens,[status(thm)],[22372, 22371])).
% 5.60/4.44 tff(22374,plain,
% 5.60/4.44 (xuntil2p30(s50) | (~until2p29(s50))),
% 5.60/4.44 inference(unit_resolution,[status(thm)],[22373, 20793, 17622])).
% 5.60/4.44 tff(22375,plain,
% 5.60/4.44 (~until2p29(s50)),
% 5.60/4.44 inference(unit_resolution,[status(thm)],[22374, 22370])).
% 5.60/4.44 tff(22376,plain,
% 5.60/4.44 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s49, s50)) | until2p29(s50) | (~xuntil2p30(s49)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s49, s50)) | until2p29(s50) | (~xuntil2p30(s49)))),
% 5.60/4.44 inference(rewrite,[status(thm)],[])).
% 5.60/4.44 tff(22377,plain,
% 5.60/4.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s49, s50)) | until2p29(s50) | (~xuntil2p30(s49)))),
% 5.60/4.44 inference(quant_inst,[status(thm)],[])).
% 5.60/4.44 tff(22378,plain,
% 5.60/4.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s49, s50)) | until2p29(s50) | (~xuntil2p30(s49))),
% 5.60/4.44 inference(modus_ponens,[status(thm)],[22377, 22376])).
% 5.60/4.44 tff(22379,plain,
% 5.60/4.44 (until2p29(s50) | (~xuntil2p30(s49))),
% 5.60/4.44 inference(unit_resolution,[status(thm)],[22378, 4339, 20808])).
% 5.60/4.44 tff(22380,plain,
% 5.60/4.44 (~xuntil2p30(s49)),
% 5.60/4.44 inference(unit_resolution,[status(thm)],[22379, 22375])).
% 5.60/4.44 tff(22381,plain,
% 5.60/4.44 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s49) | xuntil2p30(s49) | (~until2p29(s49)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s49) | xuntil2p30(s49) | (~until2p29(s49)))),
% 5.60/4.44 inference(rewrite,[status(thm)],[])).
% 5.60/4.44 tff(22382,plain,
% 5.60/4.44 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s49) | xuntil2p30(s49) | (~until2p29(s49)))),
% 5.60/4.44 inference(quant_inst,[status(thm)],[])).
% 5.60/4.44 tff(22383,plain,
% 5.60/4.44 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s49) | xuntil2p30(s49) | (~until2p29(s49))),
% 5.60/4.44 inference(modus_ponens,[status(thm)],[22382, 22381])).
% 5.60/4.44 tff(22384,plain,
% 5.60/4.44 (xuntil2p30(s49) | (~until2p29(s49))),
% 5.60/4.44 inference(unit_resolution,[status(thm)],[22383, 20793, 17626])).
% 5.60/4.44 tff(22385,plain,
% 5.60/4.44 (~until2p29(s49)),
% 5.60/4.44 inference(unit_resolution,[status(thm)],[22384, 22380])).
% 5.60/4.44 tff(22386,plain,
% 5.60/4.44 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s48, s49)) | until2p29(s49) | (~xuntil2p30(s48)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s48, s49)) | until2p29(s49) | (~xuntil2p30(s48)))),
% 5.60/4.44 inference(rewrite,[status(thm)],[])).
% 5.60/4.44 tff(22387,plain,
% 5.60/4.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s48, s49)) | until2p29(s49) | (~xuntil2p30(s48)))),
% 5.60/4.44 inference(quant_inst,[status(thm)],[])).
% 5.60/4.44 tff(22388,plain,
% 5.60/4.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s48, s49)) | until2p29(s49) | (~xuntil2p30(s48))),
% 5.60/4.44 inference(modus_ponens,[status(thm)],[22387, 22386])).
% 5.60/4.44 tff(22389,plain,
% 5.60/4.44 (until2p29(s49) | (~xuntil2p30(s48))),
% 5.60/4.44 inference(unit_resolution,[status(thm)],[22388, 4272, 20808])).
% 5.60/4.44 tff(22390,plain,
% 5.60/4.44 (~xuntil2p30(s48)),
% 5.60/4.44 inference(unit_resolution,[status(thm)],[22389, 22385])).
% 5.60/4.44 tff(22391,plain,
% 5.60/4.44 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s48) | xuntil2p30(s48) | (~until2p29(s48)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s48) | xuntil2p30(s48) | (~until2p29(s48)))),
% 5.60/4.44 inference(rewrite,[status(thm)],[])).
% 5.60/4.44 tff(22392,plain,
% 5.60/4.44 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s48) | xuntil2p30(s48) | (~until2p29(s48)))),
% 5.60/4.44 inference(quant_inst,[status(thm)],[])).
% 5.60/4.44 tff(22393,plain,
% 5.60/4.44 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s48) | xuntil2p30(s48) | (~until2p29(s48))),
% 5.60/4.44 inference(modus_ponens,[status(thm)],[22392, 22391])).
% 5.60/4.44 tff(22394,plain,
% 5.60/4.44 (xuntil2p30(s48) | (~until2p29(s48))),
% 5.60/4.44 inference(unit_resolution,[status(thm)],[22393, 20793, 18655])).
% 5.60/4.44 tff(22395,plain,
% 5.60/4.44 (~until2p29(s48)),
% 5.60/4.44 inference(unit_resolution,[status(thm)],[22394, 22390])).
% 5.60/4.44 tff(22396,plain,
% 5.60/4.44 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s47, s48)) | until2p29(s48) | (~xuntil2p30(s47)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s47, s48)) | until2p29(s48) | (~xuntil2p30(s47)))),
% 5.60/4.44 inference(rewrite,[status(thm)],[])).
% 5.60/4.44 tff(22397,plain,
% 5.60/4.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s47, s48)) | until2p29(s48) | (~xuntil2p30(s47)))),
% 5.60/4.44 inference(quant_inst,[status(thm)],[])).
% 5.60/4.44 tff(22398,plain,
% 5.60/4.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s47, s48)) | until2p29(s48) | (~xuntil2p30(s47))),
% 5.60/4.44 inference(modus_ponens,[status(thm)],[22397, 22396])).
% 5.60/4.44 tff(22399,plain,
% 5.60/4.44 (until2p29(s48) | (~xuntil2p30(s47))),
% 5.60/4.44 inference(unit_resolution,[status(thm)],[22398, 4183, 20808])).
% 5.60/4.44 tff(22400,plain,
% 5.60/4.44 (~xuntil2p30(s47)),
% 5.60/4.44 inference(unit_resolution,[status(thm)],[22399, 22395])).
% 5.60/4.44 tff(22401,plain,
% 5.60/4.44 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s47) | xuntil2p30(s47) | (~until2p29(s47)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s47) | xuntil2p30(s47) | (~until2p29(s47)))),
% 5.60/4.44 inference(rewrite,[status(thm)],[])).
% 5.60/4.44 tff(22402,plain,
% 5.60/4.44 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s47) | xuntil2p30(s47) | (~until2p29(s47)))),
% 5.60/4.44 inference(quant_inst,[status(thm)],[])).
% 5.60/4.44 tff(22403,plain,
% 5.60/4.44 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s47) | xuntil2p30(s47) | (~until2p29(s47))),
% 5.60/4.44 inference(modus_ponens,[status(thm)],[22402, 22401])).
% 5.60/4.44 tff(22404,plain,
% 5.60/4.44 (xuntil2p30(s47) | (~until2p29(s47))),
% 5.60/4.44 inference(unit_resolution,[status(thm)],[22403, 20793, 17642])).
% 5.60/4.44 tff(22405,plain,
% 5.60/4.44 (~until2p29(s47)),
% 5.60/4.44 inference(unit_resolution,[status(thm)],[22404, 22400])).
% 5.60/4.44 tff(22406,plain,
% 5.60/4.44 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s46, s47)) | until2p29(s47) | (~xuntil2p30(s46)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s46, s47)) | until2p29(s47) | (~xuntil2p30(s46)))),
% 5.60/4.44 inference(rewrite,[status(thm)],[])).
% 5.60/4.44 tff(22407,plain,
% 5.60/4.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s46, s47)) | until2p29(s47) | (~xuntil2p30(s46)))),
% 5.60/4.44 inference(quant_inst,[status(thm)],[])).
% 5.60/4.44 tff(22408,plain,
% 5.60/4.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s46, s47)) | until2p29(s47) | (~xuntil2p30(s46))),
% 5.60/4.44 inference(modus_ponens,[status(thm)],[22407, 22406])).
% 5.60/4.44 tff(22409,plain,
% 5.60/4.44 (until2p29(s47) | (~xuntil2p30(s46))),
% 5.60/4.44 inference(unit_resolution,[status(thm)],[22408, 4108, 20808])).
% 5.60/4.44 tff(22410,plain,
% 5.60/4.44 (~xuntil2p30(s46)),
% 5.60/4.44 inference(unit_resolution,[status(thm)],[22409, 22405])).
% 5.60/4.44 tff(22411,plain,
% 5.60/4.44 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s46) | xuntil2p30(s46) | (~until2p29(s46)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s46) | xuntil2p30(s46) | (~until2p29(s46)))),
% 5.60/4.44 inference(rewrite,[status(thm)],[])).
% 5.60/4.44 tff(22412,plain,
% 5.60/4.44 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s46) | xuntil2p30(s46) | (~until2p29(s46)))),
% 5.60/4.44 inference(quant_inst,[status(thm)],[])).
% 5.60/4.44 tff(22413,plain,
% 5.60/4.44 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s46) | xuntil2p30(s46) | (~until2p29(s46))),
% 5.60/4.44 inference(modus_ponens,[status(thm)],[22412, 22411])).
% 5.60/4.44 tff(22414,plain,
% 5.60/4.44 (xuntil2p30(s46) | (~until2p29(s46))),
% 5.60/4.44 inference(unit_resolution,[status(thm)],[22413, 20793, 17651])).
% 5.60/4.44 tff(22415,plain,
% 5.60/4.44 (~until2p29(s46)),
% 5.60/4.44 inference(unit_resolution,[status(thm)],[22414, 22410])).
% 5.60/4.44 tff(22416,plain,
% 5.60/4.44 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s45, s46)) | until2p29(s46) | (~xuntil2p30(s45)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s45, s46)) | until2p29(s46) | (~xuntil2p30(s45)))),
% 5.60/4.44 inference(rewrite,[status(thm)],[])).
% 5.60/4.44 tff(22417,plain,
% 5.60/4.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s45, s46)) | until2p29(s46) | (~xuntil2p30(s45)))),
% 5.60/4.44 inference(quant_inst,[status(thm)],[])).
% 5.60/4.44 tff(22418,plain,
% 5.60/4.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s45, s46)) | until2p29(s46) | (~xuntil2p30(s45))),
% 5.60/4.44 inference(modus_ponens,[status(thm)],[22417, 22416])).
% 5.60/4.44 tff(22419,plain,
% 5.60/4.44 (until2p29(s46) | (~xuntil2p30(s45))),
% 5.60/4.44 inference(unit_resolution,[status(thm)],[22418, 4044, 20808])).
% 5.60/4.44 tff(22420,plain,
% 5.60/4.44 (~xuntil2p30(s45)),
% 5.60/4.44 inference(unit_resolution,[status(thm)],[22419, 22415])).
% 5.60/4.44 tff(22421,plain,
% 5.60/4.44 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s45) | xuntil2p30(s45) | (~until2p29(s45)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s45) | xuntil2p30(s45) | (~until2p29(s45)))),
% 5.60/4.44 inference(rewrite,[status(thm)],[])).
% 5.60/4.44 tff(22422,plain,
% 5.60/4.44 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s45) | xuntil2p30(s45) | (~until2p29(s45)))),
% 5.60/4.44 inference(quant_inst,[status(thm)],[])).
% 5.60/4.44 tff(22423,plain,
% 5.60/4.44 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s45) | xuntil2p30(s45) | (~until2p29(s45))),
% 5.60/4.44 inference(modus_ponens,[status(thm)],[22422, 22421])).
% 5.60/4.44 tff(22424,plain,
% 5.60/4.44 (xuntil2p30(s45) | (~until2p29(s45))),
% 5.60/4.44 inference(unit_resolution,[status(thm)],[22423, 20793, 17655])).
% 5.60/4.44 tff(22425,plain,
% 5.60/4.44 (~until2p29(s45)),
% 5.60/4.44 inference(unit_resolution,[status(thm)],[22424, 22420])).
% 5.60/4.44 tff(22426,plain,
% 5.60/4.44 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s44, s45)) | until2p29(s45) | (~xuntil2p30(s44)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s44, s45)) | until2p29(s45) | (~xuntil2p30(s44)))),
% 5.60/4.44 inference(rewrite,[status(thm)],[])).
% 5.60/4.44 tff(22427,plain,
% 5.60/4.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s44, s45)) | until2p29(s45) | (~xuntil2p30(s44)))),
% 5.60/4.44 inference(quant_inst,[status(thm)],[])).
% 5.60/4.44 tff(22428,plain,
% 5.60/4.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s44, s45)) | until2p29(s45) | (~xuntil2p30(s44))),
% 5.60/4.44 inference(modus_ponens,[status(thm)],[22427, 22426])).
% 5.60/4.44 tff(22429,plain,
% 5.60/4.44 (until2p29(s45) | (~xuntil2p30(s44))),
% 5.60/4.44 inference(unit_resolution,[status(thm)],[22428, 3949, 20808])).
% 5.60/4.44 tff(22430,plain,
% 5.60/4.44 (~xuntil2p30(s44)),
% 5.60/4.44 inference(unit_resolution,[status(thm)],[22429, 22425])).
% 5.60/4.44 tff(22431,plain,
% 5.60/4.44 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s44) | xuntil2p30(s44) | (~until2p29(s44)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s44) | xuntil2p30(s44) | (~until2p29(s44)))),
% 5.60/4.44 inference(rewrite,[status(thm)],[])).
% 5.60/4.44 tff(22432,plain,
% 5.60/4.44 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s44) | xuntil2p30(s44) | (~until2p29(s44)))),
% 5.60/4.44 inference(quant_inst,[status(thm)],[])).
% 5.60/4.44 tff(22433,plain,
% 5.60/4.44 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s44) | xuntil2p30(s44) | (~until2p29(s44))),
% 5.60/4.44 inference(modus_ponens,[status(thm)],[22432, 22431])).
% 5.60/4.44 tff(22434,plain,
% 5.60/4.44 (xuntil2p30(s44) | (~until2p29(s44))),
% 5.60/4.44 inference(unit_resolution,[status(thm)],[22433, 20793, 18601])).
% 5.60/4.44 tff(22435,plain,
% 5.60/4.44 (~until2p29(s44)),
% 5.60/4.44 inference(unit_resolution,[status(thm)],[22434, 22430])).
% 5.60/4.44 tff(22436,plain,
% 5.60/4.44 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s43, s44)) | until2p29(s44) | (~xuntil2p30(s43)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s43, s44)) | until2p29(s44) | (~xuntil2p30(s43)))),
% 5.60/4.44 inference(rewrite,[status(thm)],[])).
% 5.60/4.44 tff(22437,plain,
% 5.60/4.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s43, s44)) | until2p29(s44) | (~xuntil2p30(s43)))),
% 5.60/4.44 inference(quant_inst,[status(thm)],[])).
% 5.60/4.44 tff(22438,plain,
% 5.60/4.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s43, s44)) | until2p29(s44) | (~xuntil2p30(s43))),
% 5.60/4.44 inference(modus_ponens,[status(thm)],[22437, 22436])).
% 5.60/4.44 tff(22439,plain,
% 5.60/4.44 (until2p29(s44) | (~xuntil2p30(s43))),
% 5.60/4.44 inference(unit_resolution,[status(thm)],[22438, 3888, 20808])).
% 5.60/4.44 tff(22440,plain,
% 5.60/4.44 (~xuntil2p30(s43)),
% 5.60/4.44 inference(unit_resolution,[status(thm)],[22439, 22435])).
% 5.60/4.44 tff(22441,plain,
% 5.60/4.44 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s43) | xuntil2p30(s43) | (~until2p29(s43)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s43) | xuntil2p30(s43) | (~until2p29(s43)))),
% 5.60/4.44 inference(rewrite,[status(thm)],[])).
% 5.60/4.44 tff(22442,plain,
% 5.60/4.44 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s43) | xuntil2p30(s43) | (~until2p29(s43)))),
% 5.60/4.44 inference(quant_inst,[status(thm)],[])).
% 5.60/4.44 tff(22443,plain,
% 5.60/4.44 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s43) | xuntil2p30(s43) | (~until2p29(s43))),
% 5.60/4.44 inference(modus_ponens,[status(thm)],[22442, 22441])).
% 5.60/4.44 tff(22444,plain,
% 5.60/4.44 (xuntil2p30(s43) | (~until2p29(s43))),
% 5.60/4.44 inference(unit_resolution,[status(thm)],[22443, 20793, 17671])).
% 5.60/4.44 tff(22445,plain,
% 5.60/4.44 (~until2p29(s43)),
% 5.60/4.44 inference(unit_resolution,[status(thm)],[22444, 22440])).
% 5.60/4.44 tff(22446,plain,
% 5.60/4.44 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s42, s43)) | until2p29(s43) | (~xuntil2p30(s42)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s42, s43)) | until2p29(s43) | (~xuntil2p30(s42)))),
% 5.60/4.44 inference(rewrite,[status(thm)],[])).
% 5.60/4.44 tff(22447,plain,
% 5.60/4.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s42, s43)) | until2p29(s43) | (~xuntil2p30(s42)))),
% 5.60/4.44 inference(quant_inst,[status(thm)],[])).
% 5.60/4.44 tff(22448,plain,
% 5.60/4.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s42, s43)) | until2p29(s43) | (~xuntil2p30(s42))),
% 5.60/4.44 inference(modus_ponens,[status(thm)],[22447, 22446])).
% 5.60/4.44 tff(22449,plain,
% 5.60/4.44 (until2p29(s43) | (~xuntil2p30(s42))),
% 5.60/4.44 inference(unit_resolution,[status(thm)],[22448, 3810, 20808])).
% 5.60/4.44 tff(22450,plain,
% 5.60/4.44 (~xuntil2p30(s42)),
% 5.60/4.44 inference(unit_resolution,[status(thm)],[22449, 22445])).
% 5.60/4.44 tff(22451,plain,
% 5.60/4.44 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s42) | xuntil2p30(s42) | (~until2p29(s42)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s42) | xuntil2p30(s42) | (~until2p29(s42)))),
% 5.60/4.44 inference(rewrite,[status(thm)],[])).
% 5.60/4.44 tff(22452,plain,
% 5.60/4.44 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s42) | xuntil2p30(s42) | (~until2p29(s42)))),
% 5.60/4.44 inference(quant_inst,[status(thm)],[])).
% 5.60/4.44 tff(22453,plain,
% 5.60/4.44 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s42) | xuntil2p30(s42) | (~until2p29(s42))),
% 5.60/4.44 inference(modus_ponens,[status(thm)],[22452, 22451])).
% 5.60/4.44 tff(22454,plain,
% 5.60/4.44 (xuntil2p30(s42) | (~until2p29(s42))),
% 5.60/4.44 inference(unit_resolution,[status(thm)],[22453, 20793, 17680])).
% 5.60/4.44 tff(22455,plain,
% 5.60/4.44 (~until2p29(s42)),
% 5.60/4.44 inference(unit_resolution,[status(thm)],[22454, 22450])).
% 5.60/4.44 tff(22456,plain,
% 5.60/4.44 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s41, s42)) | until2p29(s42) | (~xuntil2p30(s41)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s41, s42)) | until2p29(s42) | (~xuntil2p30(s41)))),
% 5.60/4.44 inference(rewrite,[status(thm)],[])).
% 5.60/4.44 tff(22457,plain,
% 5.60/4.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s41, s42)) | until2p29(s42) | (~xuntil2p30(s41)))),
% 5.60/4.44 inference(quant_inst,[status(thm)],[])).
% 5.60/4.44 tff(22458,plain,
% 5.60/4.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s41, s42)) | until2p29(s42) | (~xuntil2p30(s41))),
% 5.60/4.44 inference(modus_ponens,[status(thm)],[22457, 22456])).
% 5.60/4.44 tff(22459,plain,
% 5.60/4.44 (until2p29(s42) | (~xuntil2p30(s41))),
% 5.60/4.44 inference(unit_resolution,[status(thm)],[22458, 3711, 20808])).
% 5.60/4.44 tff(22460,plain,
% 5.60/4.44 (~xuntil2p30(s41)),
% 5.60/4.44 inference(unit_resolution,[status(thm)],[22459, 22455])).
% 5.60/4.44 tff(22461,plain,
% 5.60/4.44 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s41) | xuntil2p30(s41) | (~until2p29(s41)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s41) | xuntil2p30(s41) | (~until2p29(s41)))),
% 5.60/4.44 inference(rewrite,[status(thm)],[])).
% 5.60/4.44 tff(22462,plain,
% 5.60/4.44 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s41) | xuntil2p30(s41) | (~until2p29(s41)))),
% 5.60/4.44 inference(quant_inst,[status(thm)],[])).
% 5.60/4.44 tff(22463,plain,
% 5.60/4.44 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s41) | xuntil2p30(s41) | (~until2p29(s41))),
% 5.60/4.44 inference(modus_ponens,[status(thm)],[22462, 22461])).
% 5.60/4.44 tff(22464,plain,
% 5.60/4.44 (xuntil2p30(s41) | (~until2p29(s41))),
% 5.60/4.44 inference(unit_resolution,[status(thm)],[22463, 20793, 17684])).
% 5.60/4.44 tff(22465,plain,
% 5.60/4.44 (~until2p29(s41)),
% 5.60/4.44 inference(unit_resolution,[status(thm)],[22464, 22460])).
% 5.60/4.44 tff(22466,plain,
% 5.60/4.44 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s40, s41)) | until2p29(s41) | (~xuntil2p30(s40)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s40, s41)) | until2p29(s41) | (~xuntil2p30(s40)))),
% 5.60/4.44 inference(rewrite,[status(thm)],[])).
% 5.60/4.44 tff(22467,plain,
% 5.60/4.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s40, s41)) | until2p29(s41) | (~xuntil2p30(s40)))),
% 5.60/4.44 inference(quant_inst,[status(thm)],[])).
% 5.60/4.44 tff(22468,plain,
% 5.60/4.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s40, s41)) | until2p29(s41) | (~xuntil2p30(s40))),
% 5.60/4.44 inference(modus_ponens,[status(thm)],[22467, 22466])).
% 5.60/4.44 tff(22469,plain,
% 5.60/4.44 (until2p29(s41) | (~xuntil2p30(s40))),
% 5.60/4.44 inference(unit_resolution,[status(thm)],[22468, 3644, 20808])).
% 5.60/4.44 tff(22470,plain,
% 5.60/4.44 (~xuntil2p30(s40)),
% 5.60/4.44 inference(unit_resolution,[status(thm)],[22469, 22465])).
% 5.60/4.44 tff(22471,plain,
% 5.60/4.44 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s40) | xuntil2p30(s40) | (~until2p29(s40)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s40) | xuntil2p30(s40) | (~until2p29(s40)))),
% 5.60/4.44 inference(rewrite,[status(thm)],[])).
% 5.60/4.44 tff(22472,plain,
% 5.60/4.44 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s40) | xuntil2p30(s40) | (~until2p29(s40)))),
% 5.60/4.44 inference(quant_inst,[status(thm)],[])).
% 5.60/4.44 tff(22473,plain,
% 5.60/4.44 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s40) | xuntil2p30(s40) | (~until2p29(s40))),
% 5.60/4.44 inference(modus_ponens,[status(thm)],[22472, 22471])).
% 5.60/4.44 tff(22474,plain,
% 5.60/4.44 (xuntil2p30(s40) | (~until2p29(s40))),
% 5.60/4.44 inference(unit_resolution,[status(thm)],[22473, 20793, 18547])).
% 5.60/4.44 tff(22475,plain,
% 5.60/4.44 (~until2p29(s40)),
% 5.60/4.44 inference(unit_resolution,[status(thm)],[22474, 22470])).
% 5.60/4.44 tff(22476,plain,
% 5.60/4.44 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s39, s40)) | until2p29(s40) | (~xuntil2p30(s39)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s39, s40)) | until2p29(s40) | (~xuntil2p30(s39)))),
% 5.60/4.44 inference(rewrite,[status(thm)],[])).
% 5.60/4.44 tff(22477,plain,
% 5.60/4.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s39, s40)) | until2p29(s40) | (~xuntil2p30(s39)))),
% 5.60/4.44 inference(quant_inst,[status(thm)],[])).
% 5.60/4.44 tff(22478,plain,
% 5.60/4.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s39, s40)) | until2p29(s40) | (~xuntil2p30(s39))),
% 5.60/4.44 inference(modus_ponens,[status(thm)],[22477, 22476])).
% 5.60/4.44 tff(22479,plain,
% 5.60/4.44 (until2p29(s40) | (~xuntil2p30(s39))),
% 5.60/4.44 inference(unit_resolution,[status(thm)],[22478, 3555, 20808])).
% 5.60/4.44 tff(22480,plain,
% 5.60/4.44 (~xuntil2p30(s39)),
% 5.60/4.44 inference(unit_resolution,[status(thm)],[22479, 22475])).
% 5.60/4.44 tff(22481,plain,
% 5.60/4.44 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s39) | xuntil2p30(s39) | (~until2p29(s39)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s39) | xuntil2p30(s39) | (~until2p29(s39)))),
% 5.60/4.44 inference(rewrite,[status(thm)],[])).
% 5.60/4.44 tff(22482,plain,
% 5.60/4.44 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s39) | xuntil2p30(s39) | (~until2p29(s39)))),
% 5.60/4.44 inference(quant_inst,[status(thm)],[])).
% 5.60/4.44 tff(22483,plain,
% 5.60/4.44 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s39) | xuntil2p30(s39) | (~until2p29(s39))),
% 5.60/4.44 inference(modus_ponens,[status(thm)],[22482, 22481])).
% 5.60/4.44 tff(22484,plain,
% 5.60/4.44 (xuntil2p30(s39) | (~until2p29(s39))),
% 5.60/4.44 inference(unit_resolution,[status(thm)],[22483, 20793, 17700])).
% 5.60/4.44 tff(22485,plain,
% 5.60/4.44 (~until2p29(s39)),
% 5.60/4.44 inference(unit_resolution,[status(thm)],[22484, 22480])).
% 5.60/4.44 tff(22486,plain,
% 5.60/4.44 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s38, s39)) | until2p29(s39) | (~xuntil2p30(s38)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s38, s39)) | until2p29(s39) | (~xuntil2p30(s38)))),
% 5.60/4.44 inference(rewrite,[status(thm)],[])).
% 5.60/4.44 tff(22487,plain,
% 5.60/4.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s38, s39)) | until2p29(s39) | (~xuntil2p30(s38)))),
% 5.60/4.44 inference(quant_inst,[status(thm)],[])).
% 5.60/4.44 tff(22488,plain,
% 5.60/4.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s38, s39)) | until2p29(s39) | (~xuntil2p30(s38))),
% 5.60/4.44 inference(modus_ponens,[status(thm)],[22487, 22486])).
% 5.60/4.44 tff(22489,plain,
% 5.60/4.44 (until2p29(s39) | (~xuntil2p30(s38))),
% 5.60/4.44 inference(unit_resolution,[status(thm)],[22488, 3480, 20808])).
% 5.60/4.44 tff(22490,plain,
% 5.60/4.44 (~xuntil2p30(s38)),
% 5.60/4.44 inference(unit_resolution,[status(thm)],[22489, 22485])).
% 5.60/4.44 tff(22491,plain,
% 5.60/4.44 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s38) | xuntil2p30(s38) | (~until2p29(s38)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s38) | xuntil2p30(s38) | (~until2p29(s38)))),
% 5.60/4.44 inference(rewrite,[status(thm)],[])).
% 5.60/4.44 tff(22492,plain,
% 5.60/4.44 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s38) | xuntil2p30(s38) | (~until2p29(s38)))),
% 5.60/4.44 inference(quant_inst,[status(thm)],[])).
% 5.60/4.44 tff(22493,plain,
% 5.60/4.44 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s38) | xuntil2p30(s38) | (~until2p29(s38))),
% 5.60/4.44 inference(modus_ponens,[status(thm)],[22492, 22491])).
% 5.60/4.44 tff(22494,plain,
% 5.60/4.44 (xuntil2p30(s38) | (~until2p29(s38))),
% 5.60/4.44 inference(unit_resolution,[status(thm)],[22493, 20793, 17709])).
% 5.60/4.44 tff(22495,plain,
% 5.60/4.44 (~until2p29(s38)),
% 5.60/4.44 inference(unit_resolution,[status(thm)],[22494, 22490])).
% 5.60/4.44 tff(22496,plain,
% 5.60/4.44 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s37, s38)) | until2p29(s38) | (~xuntil2p30(s37)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s37, s38)) | until2p29(s38) | (~xuntil2p30(s37)))),
% 5.60/4.44 inference(rewrite,[status(thm)],[])).
% 5.60/4.44 tff(22497,plain,
% 5.60/4.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s37, s38)) | until2p29(s38) | (~xuntil2p30(s37)))),
% 5.60/4.44 inference(quant_inst,[status(thm)],[])).
% 5.60/4.44 tff(22498,plain,
% 5.60/4.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s37, s38)) | until2p29(s38) | (~xuntil2p30(s37))),
% 5.60/4.44 inference(modus_ponens,[status(thm)],[22497, 22496])).
% 5.60/4.44 tff(22499,plain,
% 5.60/4.44 (until2p29(s38) | (~xuntil2p30(s37))),
% 5.60/4.44 inference(unit_resolution,[status(thm)],[22498, 3416, 20808])).
% 5.60/4.44 tff(22500,plain,
% 5.60/4.44 (~xuntil2p30(s37)),
% 5.60/4.44 inference(unit_resolution,[status(thm)],[22499, 22495])).
% 5.60/4.44 tff(22501,plain,
% 5.60/4.44 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s37) | xuntil2p30(s37) | (~until2p29(s37)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s37) | xuntil2p30(s37) | (~until2p29(s37)))),
% 5.60/4.44 inference(rewrite,[status(thm)],[])).
% 5.60/4.44 tff(22502,plain,
% 5.60/4.44 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s37) | xuntil2p30(s37) | (~until2p29(s37)))),
% 5.60/4.44 inference(quant_inst,[status(thm)],[])).
% 5.60/4.44 tff(22503,plain,
% 5.60/4.44 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s37) | xuntil2p30(s37) | (~until2p29(s37))),
% 5.60/4.44 inference(modus_ponens,[status(thm)],[22502, 22501])).
% 5.60/4.44 tff(22504,plain,
% 5.60/4.44 (xuntil2p30(s37) | (~until2p29(s37))),
% 5.60/4.44 inference(unit_resolution,[status(thm)],[22503, 20793, 17713])).
% 5.60/4.44 tff(22505,plain,
% 5.60/4.44 (~until2p29(s37)),
% 5.60/4.44 inference(unit_resolution,[status(thm)],[22504, 22500])).
% 5.60/4.44 tff(22506,plain,
% 5.60/4.44 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s36, s37)) | until2p29(s37) | (~xuntil2p30(s36)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s36, s37)) | until2p29(s37) | (~xuntil2p30(s36)))),
% 5.60/4.44 inference(rewrite,[status(thm)],[])).
% 5.60/4.44 tff(22507,plain,
% 5.60/4.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s36, s37)) | until2p29(s37) | (~xuntil2p30(s36)))),
% 5.60/4.44 inference(quant_inst,[status(thm)],[])).
% 5.60/4.44 tff(22508,plain,
% 5.60/4.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s36, s37)) | until2p29(s37) | (~xuntil2p30(s36))),
% 5.60/4.44 inference(modus_ponens,[status(thm)],[22507, 22506])).
% 5.60/4.44 tff(22509,plain,
% 5.60/4.44 (until2p29(s37) | (~xuntil2p30(s36))),
% 5.60/4.44 inference(unit_resolution,[status(thm)],[22508, 3321, 20808])).
% 5.60/4.44 tff(22510,plain,
% 5.60/4.44 (~xuntil2p30(s36)),
% 5.60/4.44 inference(unit_resolution,[status(thm)],[22509, 22505])).
% 5.60/4.44 tff(22511,plain,
% 5.60/4.44 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s36) | xuntil2p30(s36) | (~until2p29(s36)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s36) | xuntil2p30(s36) | (~until2p29(s36)))),
% 5.60/4.44 inference(rewrite,[status(thm)],[])).
% 5.60/4.44 tff(22512,plain,
% 5.60/4.44 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s36) | xuntil2p30(s36) | (~until2p29(s36)))),
% 5.60/4.44 inference(quant_inst,[status(thm)],[])).
% 5.60/4.44 tff(22513,plain,
% 5.60/4.44 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s36) | xuntil2p30(s36) | (~until2p29(s36))),
% 5.60/4.44 inference(modus_ponens,[status(thm)],[22512, 22511])).
% 5.60/4.44 tff(22514,plain,
% 5.60/4.44 (xuntil2p30(s36) | (~until2p29(s36))),
% 5.60/4.44 inference(unit_resolution,[status(thm)],[22513, 20793, 18493])).
% 5.60/4.44 tff(22515,plain,
% 5.60/4.44 (~until2p29(s36)),
% 5.60/4.44 inference(unit_resolution,[status(thm)],[22514, 22510])).
% 5.60/4.44 tff(22516,plain,
% 5.60/4.44 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s35, s36)) | until2p29(s36) | (~xuntil2p30(s35)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s35, s36)) | until2p29(s36) | (~xuntil2p30(s35)))),
% 5.60/4.44 inference(rewrite,[status(thm)],[])).
% 5.60/4.44 tff(22517,plain,
% 5.60/4.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s35, s36)) | until2p29(s36) | (~xuntil2p30(s35)))),
% 5.60/4.44 inference(quant_inst,[status(thm)],[])).
% 5.60/4.44 tff(22518,plain,
% 5.60/4.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s35, s36)) | until2p29(s36) | (~xuntil2p30(s35))),
% 5.60/4.44 inference(modus_ponens,[status(thm)],[22517, 22516])).
% 5.60/4.44 tff(22519,plain,
% 5.60/4.44 (until2p29(s36) | (~xuntil2p30(s35))),
% 5.60/4.44 inference(unit_resolution,[status(thm)],[22518, 3260, 20808])).
% 5.60/4.44 tff(22520,plain,
% 5.60/4.44 (~xuntil2p30(s35)),
% 5.60/4.44 inference(unit_resolution,[status(thm)],[22519, 22515])).
% 5.60/4.44 tff(22521,plain,
% 5.60/4.44 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s35) | xuntil2p30(s35) | (~until2p29(s35)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s35) | xuntil2p30(s35) | (~until2p29(s35)))),
% 5.60/4.44 inference(rewrite,[status(thm)],[])).
% 5.60/4.44 tff(22522,plain,
% 5.60/4.44 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s35) | xuntil2p30(s35) | (~until2p29(s35)))),
% 5.60/4.44 inference(quant_inst,[status(thm)],[])).
% 5.60/4.44 tff(22523,plain,
% 5.60/4.44 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s35) | xuntil2p30(s35) | (~until2p29(s35))),
% 5.60/4.44 inference(modus_ponens,[status(thm)],[22522, 22521])).
% 5.60/4.44 tff(22524,plain,
% 5.60/4.44 (xuntil2p30(s35) | (~until2p29(s35))),
% 5.60/4.45 inference(unit_resolution,[status(thm)],[22523, 20793, 17729])).
% 5.60/4.45 tff(22525,plain,
% 5.60/4.45 (~until2p29(s35)),
% 5.60/4.45 inference(unit_resolution,[status(thm)],[22524, 22520])).
% 5.60/4.45 tff(22526,plain,
% 5.60/4.45 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s34, s35)) | until2p29(s35) | (~xuntil2p30(s34)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s34, s35)) | until2p29(s35) | (~xuntil2p30(s34)))),
% 5.60/4.45 inference(rewrite,[status(thm)],[])).
% 5.60/4.45 tff(22527,plain,
% 5.60/4.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s34, s35)) | until2p29(s35) | (~xuntil2p30(s34)))),
% 5.60/4.45 inference(quant_inst,[status(thm)],[])).
% 5.60/4.45 tff(22528,plain,
% 5.60/4.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s34, s35)) | until2p29(s35) | (~xuntil2p30(s34))),
% 5.60/4.45 inference(modus_ponens,[status(thm)],[22527, 22526])).
% 5.60/4.45 tff(22529,plain,
% 5.60/4.45 (until2p29(s35) | (~xuntil2p30(s34))),
% 5.60/4.45 inference(unit_resolution,[status(thm)],[22528, 3182, 20808])).
% 5.60/4.45 tff(22530,plain,
% 5.60/4.45 (~xuntil2p30(s34)),
% 5.60/4.45 inference(unit_resolution,[status(thm)],[22529, 22525])).
% 5.60/4.45 tff(22531,plain,
% 5.60/4.45 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s34) | xuntil2p30(s34) | (~until2p29(s34)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s34) | xuntil2p30(s34) | (~until2p29(s34)))),
% 5.60/4.45 inference(rewrite,[status(thm)],[])).
% 5.60/4.45 tff(22532,plain,
% 5.60/4.45 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s34) | xuntil2p30(s34) | (~until2p29(s34)))),
% 5.60/4.45 inference(quant_inst,[status(thm)],[])).
% 5.60/4.45 tff(22533,plain,
% 5.60/4.45 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s34) | xuntil2p30(s34) | (~until2p29(s34))),
% 5.60/4.45 inference(modus_ponens,[status(thm)],[22532, 22531])).
% 5.60/4.45 tff(22534,plain,
% 5.60/4.45 (xuntil2p30(s34) | (~until2p29(s34))),
% 5.60/4.45 inference(unit_resolution,[status(thm)],[22533, 20793, 17738])).
% 5.60/4.45 tff(22535,plain,
% 5.60/4.45 (~until2p29(s34)),
% 5.60/4.45 inference(unit_resolution,[status(thm)],[22534, 22530])).
% 5.60/4.45 tff(22536,plain,
% 5.60/4.45 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s33, s34)) | until2p29(s34) | (~xuntil2p30(s33)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s33, s34)) | until2p29(s34) | (~xuntil2p30(s33)))),
% 5.60/4.45 inference(rewrite,[status(thm)],[])).
% 5.60/4.45 tff(22537,plain,
% 5.60/4.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s33, s34)) | until2p29(s34) | (~xuntil2p30(s33)))),
% 5.60/4.45 inference(quant_inst,[status(thm)],[])).
% 5.60/4.45 tff(22538,plain,
% 5.60/4.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s33, s34)) | until2p29(s34) | (~xuntil2p30(s33))),
% 5.60/4.45 inference(modus_ponens,[status(thm)],[22537, 22536])).
% 5.60/4.45 tff(22539,plain,
% 5.60/4.45 (until2p29(s34) | (~xuntil2p30(s33))),
% 5.60/4.45 inference(unit_resolution,[status(thm)],[22538, 3083, 20808])).
% 5.60/4.45 tff(22540,plain,
% 5.60/4.45 (~xuntil2p30(s33)),
% 5.60/4.45 inference(unit_resolution,[status(thm)],[22539, 22535])).
% 5.60/4.45 tff(22541,plain,
% 5.60/4.45 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s33) | xuntil2p30(s33) | (~until2p29(s33)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s33) | xuntil2p30(s33) | (~until2p29(s33)))),
% 5.60/4.45 inference(rewrite,[status(thm)],[])).
% 5.60/4.45 tff(22542,plain,
% 5.60/4.45 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s33) | xuntil2p30(s33) | (~until2p29(s33)))),
% 5.60/4.45 inference(quant_inst,[status(thm)],[])).
% 5.60/4.45 tff(22543,plain,
% 5.60/4.45 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s33) | xuntil2p30(s33) | (~until2p29(s33))),
% 5.60/4.45 inference(modus_ponens,[status(thm)],[22542, 22541])).
% 5.60/4.45 tff(22544,plain,
% 5.60/4.45 (xuntil2p30(s33) | (~until2p29(s33))),
% 5.60/4.45 inference(unit_resolution,[status(thm)],[22543, 20793, 17742])).
% 5.60/4.45 tff(22545,plain,
% 5.60/4.45 (~until2p29(s33)),
% 5.60/4.45 inference(unit_resolution,[status(thm)],[22544, 22540])).
% 5.60/4.45 tff(22546,plain,
% 5.60/4.45 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s32, s33)) | until2p29(s33) | (~xuntil2p30(s32)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s32, s33)) | until2p29(s33) | (~xuntil2p30(s32)))),
% 5.60/4.45 inference(rewrite,[status(thm)],[])).
% 5.60/4.45 tff(22547,plain,
% 5.60/4.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s32, s33)) | until2p29(s33) | (~xuntil2p30(s32)))),
% 5.60/4.45 inference(quant_inst,[status(thm)],[])).
% 5.60/4.45 tff(22548,plain,
% 5.60/4.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s32, s33)) | until2p29(s33) | (~xuntil2p30(s32))),
% 5.60/4.45 inference(modus_ponens,[status(thm)],[22547, 22546])).
% 5.60/4.45 tff(22549,plain,
% 5.60/4.45 (until2p29(s33) | (~xuntil2p30(s32))),
% 5.60/4.45 inference(unit_resolution,[status(thm)],[22548, 3016, 20808])).
% 5.60/4.45 tff(22550,plain,
% 5.60/4.45 (~xuntil2p30(s32)),
% 5.60/4.45 inference(unit_resolution,[status(thm)],[22549, 22545])).
% 5.60/4.45 tff(22551,plain,
% 5.60/4.45 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s32) | xuntil2p30(s32) | (~until2p29(s32)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s32) | xuntil2p30(s32) | (~until2p29(s32)))),
% 5.60/4.45 inference(rewrite,[status(thm)],[])).
% 5.60/4.45 tff(22552,plain,
% 5.60/4.45 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s32) | xuntil2p30(s32) | (~until2p29(s32)))),
% 5.60/4.45 inference(quant_inst,[status(thm)],[])).
% 5.60/4.45 tff(22553,plain,
% 5.60/4.45 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s32) | xuntil2p30(s32) | (~until2p29(s32))),
% 5.60/4.45 inference(modus_ponens,[status(thm)],[22552, 22551])).
% 5.60/4.45 tff(22554,plain,
% 5.60/4.45 (xuntil2p30(s32) | (~until2p29(s32))),
% 5.60/4.45 inference(unit_resolution,[status(thm)],[22553, 20793, 18439])).
% 5.60/4.45 tff(22555,plain,
% 5.60/4.45 (~until2p29(s32)),
% 5.60/4.45 inference(unit_resolution,[status(thm)],[22554, 22550])).
% 5.60/4.45 tff(22556,plain,
% 5.60/4.45 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s31, s32)) | until2p29(s32) | (~xuntil2p30(s31)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s31, s32)) | until2p29(s32) | (~xuntil2p30(s31)))),
% 5.60/4.45 inference(rewrite,[status(thm)],[])).
% 5.60/4.45 tff(22557,plain,
% 5.60/4.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s31, s32)) | until2p29(s32) | (~xuntil2p30(s31)))),
% 5.60/4.45 inference(quant_inst,[status(thm)],[])).
% 5.60/4.45 tff(22558,plain,
% 5.60/4.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s31, s32)) | until2p29(s32) | (~xuntil2p30(s31))),
% 5.60/4.45 inference(modus_ponens,[status(thm)],[22557, 22556])).
% 5.60/4.45 tff(22559,plain,
% 5.60/4.45 (until2p29(s32) | (~xuntil2p30(s31))),
% 5.60/4.45 inference(unit_resolution,[status(thm)],[22558, 2927, 20808])).
% 5.60/4.45 tff(22560,plain,
% 5.60/4.45 (~xuntil2p30(s31)),
% 5.60/4.45 inference(unit_resolution,[status(thm)],[22559, 22555])).
% 5.60/4.45 tff(22561,plain,
% 5.60/4.45 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s31) | xuntil2p30(s31) | (~until2p29(s31)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s31) | xuntil2p30(s31) | (~until2p29(s31)))),
% 5.60/4.45 inference(rewrite,[status(thm)],[])).
% 5.60/4.45 tff(22562,plain,
% 5.60/4.45 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s31) | xuntil2p30(s31) | (~until2p29(s31)))),
% 5.60/4.45 inference(quant_inst,[status(thm)],[])).
% 5.60/4.45 tff(22563,plain,
% 5.60/4.45 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s31) | xuntil2p30(s31) | (~until2p29(s31))),
% 5.60/4.45 inference(modus_ponens,[status(thm)],[22562, 22561])).
% 5.60/4.45 tff(22564,plain,
% 5.60/4.45 (xuntil2p30(s31) | (~until2p29(s31))),
% 5.60/4.45 inference(unit_resolution,[status(thm)],[22563, 20793, 17758])).
% 5.60/4.45 tff(22565,plain,
% 5.60/4.45 (~until2p29(s31)),
% 5.60/4.45 inference(unit_resolution,[status(thm)],[22564, 22560])).
% 5.60/4.45 tff(22566,plain,
% 5.60/4.45 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s30, s31)) | until2p29(s31) | (~xuntil2p30(s30)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s30, s31)) | until2p29(s31) | (~xuntil2p30(s30)))),
% 5.60/4.45 inference(rewrite,[status(thm)],[])).
% 5.60/4.45 tff(22567,plain,
% 5.60/4.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s30, s31)) | until2p29(s31) | (~xuntil2p30(s30)))),
% 5.60/4.45 inference(quant_inst,[status(thm)],[])).
% 5.60/4.45 tff(22568,plain,
% 5.60/4.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s30, s31)) | until2p29(s31) | (~xuntil2p30(s30))),
% 5.60/4.45 inference(modus_ponens,[status(thm)],[22567, 22566])).
% 5.60/4.45 tff(22569,plain,
% 5.60/4.45 (until2p29(s31) | (~xuntil2p30(s30))),
% 5.60/4.45 inference(unit_resolution,[status(thm)],[22568, 2852, 20808])).
% 5.60/4.45 tff(22570,plain,
% 5.60/4.45 (~xuntil2p30(s30)),
% 5.60/4.45 inference(unit_resolution,[status(thm)],[22569, 22565])).
% 5.60/4.45 tff(22571,plain,
% 5.60/4.45 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s30) | xuntil2p30(s30) | (~until2p29(s30)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s30) | xuntil2p30(s30) | (~until2p29(s30)))),
% 5.60/4.45 inference(rewrite,[status(thm)],[])).
% 5.60/4.45 tff(22572,plain,
% 5.60/4.45 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s30) | xuntil2p30(s30) | (~until2p29(s30)))),
% 5.60/4.45 inference(quant_inst,[status(thm)],[])).
% 5.60/4.45 tff(22573,plain,
% 5.60/4.45 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s30) | xuntil2p30(s30) | (~until2p29(s30))),
% 5.60/4.45 inference(modus_ponens,[status(thm)],[22572, 22571])).
% 5.60/4.45 tff(22574,plain,
% 5.60/4.45 (xuntil2p30(s30) | (~until2p29(s30))),
% 5.60/4.45 inference(unit_resolution,[status(thm)],[22573, 20793, 17767])).
% 5.60/4.45 tff(22575,plain,
% 5.60/4.45 (~until2p29(s30)),
% 5.60/4.45 inference(unit_resolution,[status(thm)],[22574, 22570])).
% 5.60/4.45 tff(22576,plain,
% 5.60/4.45 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s29, s30)) | until2p29(s30) | (~xuntil2p30(s29)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s29, s30)) | until2p29(s30) | (~xuntil2p30(s29)))),
% 5.60/4.45 inference(rewrite,[status(thm)],[])).
% 5.60/4.45 tff(22577,plain,
% 5.60/4.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s29, s30)) | until2p29(s30) | (~xuntil2p30(s29)))),
% 5.60/4.45 inference(quant_inst,[status(thm)],[])).
% 5.60/4.45 tff(22578,plain,
% 5.60/4.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s29, s30)) | until2p29(s30) | (~xuntil2p30(s29))),
% 5.60/4.45 inference(modus_ponens,[status(thm)],[22577, 22576])).
% 5.60/4.45 tff(22579,plain,
% 5.60/4.45 (until2p29(s30) | (~xuntil2p30(s29))),
% 5.60/4.45 inference(unit_resolution,[status(thm)],[22578, 2788, 20808])).
% 5.60/4.45 tff(22580,plain,
% 5.60/4.45 (~xuntil2p30(s29)),
% 5.60/4.45 inference(unit_resolution,[status(thm)],[22579, 22575])).
% 5.60/4.45 tff(22581,plain,
% 5.60/4.45 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s29) | xuntil2p30(s29) | (~until2p29(s29)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s29) | xuntil2p30(s29) | (~until2p29(s29)))),
% 5.60/4.45 inference(rewrite,[status(thm)],[])).
% 5.60/4.45 tff(22582,plain,
% 5.60/4.45 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s29) | xuntil2p30(s29) | (~until2p29(s29)))),
% 5.60/4.45 inference(quant_inst,[status(thm)],[])).
% 5.60/4.45 tff(22583,plain,
% 5.60/4.45 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s29) | xuntil2p30(s29) | (~until2p29(s29))),
% 5.60/4.45 inference(modus_ponens,[status(thm)],[22582, 22581])).
% 5.60/4.45 tff(22584,plain,
% 5.60/4.45 (xuntil2p30(s29) | (~until2p29(s29))),
% 5.60/4.45 inference(unit_resolution,[status(thm)],[22583, 20793, 17771])).
% 5.60/4.45 tff(22585,plain,
% 5.60/4.45 (~until2p29(s29)),
% 5.60/4.45 inference(unit_resolution,[status(thm)],[22584, 22580])).
% 5.60/4.45 tff(22586,plain,
% 5.60/4.45 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s28, s29)) | until2p29(s29) | (~xuntil2p30(s28)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s28, s29)) | until2p29(s29) | (~xuntil2p30(s28)))),
% 5.60/4.45 inference(rewrite,[status(thm)],[])).
% 5.60/4.45 tff(22587,plain,
% 5.60/4.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s28, s29)) | until2p29(s29) | (~xuntil2p30(s28)))),
% 5.60/4.45 inference(quant_inst,[status(thm)],[])).
% 5.60/4.45 tff(22588,plain,
% 5.60/4.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s28, s29)) | until2p29(s29) | (~xuntil2p30(s28))),
% 5.60/4.45 inference(modus_ponens,[status(thm)],[22587, 22586])).
% 5.60/4.45 tff(22589,plain,
% 5.60/4.45 (until2p29(s29) | (~xuntil2p30(s28))),
% 5.60/4.45 inference(unit_resolution,[status(thm)],[22588, 2693, 20808])).
% 5.60/4.45 tff(22590,plain,
% 5.60/4.45 (~xuntil2p30(s28)),
% 5.60/4.45 inference(unit_resolution,[status(thm)],[22589, 22585])).
% 5.60/4.45 tff(22591,plain,
% 5.60/4.45 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s28) | xuntil2p30(s28) | (~until2p29(s28)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s28) | xuntil2p30(s28) | (~until2p29(s28)))),
% 5.60/4.45 inference(rewrite,[status(thm)],[])).
% 5.60/4.45 tff(22592,plain,
% 5.60/4.45 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s28) | xuntil2p30(s28) | (~until2p29(s28)))),
% 5.60/4.45 inference(quant_inst,[status(thm)],[])).
% 5.60/4.45 tff(22593,plain,
% 5.60/4.45 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s28) | xuntil2p30(s28) | (~until2p29(s28))),
% 5.60/4.45 inference(modus_ponens,[status(thm)],[22592, 22591])).
% 5.60/4.45 tff(22594,plain,
% 5.60/4.45 (xuntil2p30(s28) | (~until2p29(s28))),
% 5.60/4.45 inference(unit_resolution,[status(thm)],[22593, 20793, 18385])).
% 5.60/4.45 tff(22595,plain,
% 5.60/4.45 (~until2p29(s28)),
% 5.60/4.45 inference(unit_resolution,[status(thm)],[22594, 22590])).
% 5.60/4.45 tff(22596,plain,
% 5.60/4.45 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s27, s28)) | until2p29(s28) | (~xuntil2p30(s27)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s27, s28)) | until2p29(s28) | (~xuntil2p30(s27)))),
% 5.60/4.45 inference(rewrite,[status(thm)],[])).
% 5.60/4.45 tff(22597,plain,
% 5.60/4.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s27, s28)) | until2p29(s28) | (~xuntil2p30(s27)))),
% 5.60/4.45 inference(quant_inst,[status(thm)],[])).
% 5.60/4.45 tff(22598,plain,
% 5.60/4.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s27, s28)) | until2p29(s28) | (~xuntil2p30(s27))),
% 5.60/4.45 inference(modus_ponens,[status(thm)],[22597, 22596])).
% 5.60/4.45 tff(22599,plain,
% 5.60/4.45 (until2p29(s28) | (~xuntil2p30(s27))),
% 5.60/4.45 inference(unit_resolution,[status(thm)],[22598, 2632, 20808])).
% 5.60/4.45 tff(22600,plain,
% 5.60/4.45 (~xuntil2p30(s27)),
% 5.60/4.45 inference(unit_resolution,[status(thm)],[22599, 22595])).
% 5.60/4.45 tff(22601,plain,
% 5.60/4.45 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s27) | xuntil2p30(s27) | (~until2p29(s27)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s27) | xuntil2p30(s27) | (~until2p29(s27)))),
% 5.60/4.45 inference(rewrite,[status(thm)],[])).
% 5.60/4.45 tff(22602,plain,
% 5.60/4.45 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s27) | xuntil2p30(s27) | (~until2p29(s27)))),
% 5.60/4.45 inference(quant_inst,[status(thm)],[])).
% 5.60/4.45 tff(22603,plain,
% 5.60/4.45 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s27) | xuntil2p30(s27) | (~until2p29(s27))),
% 5.60/4.45 inference(modus_ponens,[status(thm)],[22602, 22601])).
% 5.60/4.45 tff(22604,plain,
% 5.60/4.45 (xuntil2p30(s27) | (~until2p29(s27))),
% 5.60/4.45 inference(unit_resolution,[status(thm)],[22603, 20793, 17787])).
% 5.60/4.45 tff(22605,plain,
% 5.60/4.45 (~until2p29(s27)),
% 5.60/4.45 inference(unit_resolution,[status(thm)],[22604, 22600])).
% 5.60/4.45 tff(22606,plain,
% 5.60/4.45 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s26, s27)) | until2p29(s27) | (~xuntil2p30(s26)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s26, s27)) | until2p29(s27) | (~xuntil2p30(s26)))),
% 5.60/4.45 inference(rewrite,[status(thm)],[])).
% 5.60/4.45 tff(22607,plain,
% 5.60/4.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s26, s27)) | until2p29(s27) | (~xuntil2p30(s26)))),
% 5.60/4.45 inference(quant_inst,[status(thm)],[])).
% 5.60/4.45 tff(22608,plain,
% 5.60/4.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s26, s27)) | until2p29(s27) | (~xuntil2p30(s26))),
% 5.60/4.45 inference(modus_ponens,[status(thm)],[22607, 22606])).
% 5.60/4.45 tff(22609,plain,
% 5.60/4.45 (until2p29(s27) | (~xuntil2p30(s26))),
% 5.60/4.45 inference(unit_resolution,[status(thm)],[22608, 2554, 20808])).
% 5.60/4.45 tff(22610,plain,
% 5.60/4.45 (~xuntil2p30(s26)),
% 5.60/4.45 inference(unit_resolution,[status(thm)],[22609, 22605])).
% 5.60/4.45 tff(22611,plain,
% 5.60/4.45 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s26) | xuntil2p30(s26) | (~until2p29(s26)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s26) | xuntil2p30(s26) | (~until2p29(s26)))),
% 5.60/4.45 inference(rewrite,[status(thm)],[])).
% 5.60/4.45 tff(22612,plain,
% 5.60/4.45 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s26) | xuntil2p30(s26) | (~until2p29(s26)))),
% 5.60/4.45 inference(quant_inst,[status(thm)],[])).
% 5.60/4.45 tff(22613,plain,
% 5.60/4.45 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s26) | xuntil2p30(s26) | (~until2p29(s26))),
% 5.60/4.45 inference(modus_ponens,[status(thm)],[22612, 22611])).
% 5.60/4.45 tff(22614,plain,
% 5.60/4.45 (xuntil2p30(s26) | (~until2p29(s26))),
% 5.60/4.45 inference(unit_resolution,[status(thm)],[22613, 20793, 17796])).
% 5.60/4.45 tff(22615,plain,
% 5.60/4.45 (~until2p29(s26)),
% 5.60/4.45 inference(unit_resolution,[status(thm)],[22614, 22610])).
% 5.60/4.45 tff(22616,plain,
% 5.60/4.45 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s25, s26)) | until2p29(s26) | (~xuntil2p30(s25)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s25, s26)) | until2p29(s26) | (~xuntil2p30(s25)))),
% 5.60/4.45 inference(rewrite,[status(thm)],[])).
% 5.60/4.45 tff(22617,plain,
% 5.60/4.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s25, s26)) | until2p29(s26) | (~xuntil2p30(s25)))),
% 5.60/4.45 inference(quant_inst,[status(thm)],[])).
% 5.60/4.45 tff(22618,plain,
% 5.60/4.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s25, s26)) | until2p29(s26) | (~xuntil2p30(s25))),
% 5.60/4.45 inference(modus_ponens,[status(thm)],[22617, 22616])).
% 5.60/4.45 tff(22619,plain,
% 5.60/4.45 (until2p29(s26) | (~xuntil2p30(s25))),
% 5.60/4.45 inference(unit_resolution,[status(thm)],[22618, 2455, 20808])).
% 5.60/4.45 tff(22620,plain,
% 5.60/4.45 (~xuntil2p30(s25)),
% 5.60/4.45 inference(unit_resolution,[status(thm)],[22619, 22615])).
% 5.60/4.45 tff(22621,plain,
% 5.60/4.45 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s25) | xuntil2p30(s25) | (~until2p29(s25)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s25) | xuntil2p30(s25) | (~until2p29(s25)))),
% 5.60/4.45 inference(rewrite,[status(thm)],[])).
% 5.60/4.45 tff(22622,plain,
% 5.60/4.45 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s25) | xuntil2p30(s25) | (~until2p29(s25)))),
% 5.60/4.45 inference(quant_inst,[status(thm)],[])).
% 5.60/4.45 tff(22623,plain,
% 5.60/4.45 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s25) | xuntil2p30(s25) | (~until2p29(s25))),
% 5.60/4.45 inference(modus_ponens,[status(thm)],[22622, 22621])).
% 5.60/4.45 tff(22624,plain,
% 5.60/4.45 (xuntil2p30(s25) | (~until2p29(s25))),
% 5.60/4.45 inference(unit_resolution,[status(thm)],[22623, 20793, 17800])).
% 5.60/4.45 tff(22625,plain,
% 5.60/4.45 (~until2p29(s25)),
% 5.60/4.45 inference(unit_resolution,[status(thm)],[22624, 22620])).
% 5.60/4.45 tff(22626,plain,
% 5.60/4.45 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s24, s25)) | until2p29(s25) | (~xuntil2p30(s24)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s24, s25)) | until2p29(s25) | (~xuntil2p30(s24)))),
% 5.60/4.45 inference(rewrite,[status(thm)],[])).
% 5.60/4.45 tff(22627,plain,
% 5.60/4.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s24, s25)) | until2p29(s25) | (~xuntil2p30(s24)))),
% 5.60/4.45 inference(quant_inst,[status(thm)],[])).
% 5.60/4.45 tff(22628,plain,
% 5.60/4.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s24, s25)) | until2p29(s25) | (~xuntil2p30(s24))),
% 5.60/4.45 inference(modus_ponens,[status(thm)],[22627, 22626])).
% 5.60/4.45 tff(22629,plain,
% 5.60/4.45 (until2p29(s25) | (~xuntil2p30(s24))),
% 5.60/4.45 inference(unit_resolution,[status(thm)],[22628, 2388, 20808])).
% 5.60/4.45 tff(22630,plain,
% 5.60/4.45 (~xuntil2p30(s24)),
% 5.60/4.45 inference(unit_resolution,[status(thm)],[22629, 22625])).
% 5.60/4.45 tff(22631,plain,
% 5.60/4.45 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s24) | xuntil2p30(s24) | (~until2p29(s24)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s24) | xuntil2p30(s24) | (~until2p29(s24)))),
% 5.60/4.45 inference(rewrite,[status(thm)],[])).
% 5.60/4.45 tff(22632,plain,
% 5.60/4.45 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s24) | xuntil2p30(s24) | (~until2p29(s24)))),
% 5.60/4.45 inference(quant_inst,[status(thm)],[])).
% 5.60/4.45 tff(22633,plain,
% 5.60/4.45 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s24) | xuntil2p30(s24) | (~until2p29(s24))),
% 5.60/4.45 inference(modus_ponens,[status(thm)],[22632, 22631])).
% 5.60/4.45 tff(22634,plain,
% 5.60/4.45 (xuntil2p30(s24) | (~until2p29(s24))),
% 5.60/4.45 inference(unit_resolution,[status(thm)],[22633, 20793, 18331])).
% 5.60/4.45 tff(22635,plain,
% 5.60/4.45 (~until2p29(s24)),
% 5.60/4.45 inference(unit_resolution,[status(thm)],[22634, 22630])).
% 5.60/4.45 tff(22636,plain,
% 5.60/4.45 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s23, s24)) | until2p29(s24) | (~xuntil2p30(s23)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s23, s24)) | until2p29(s24) | (~xuntil2p30(s23)))),
% 5.60/4.45 inference(rewrite,[status(thm)],[])).
% 5.60/4.45 tff(22637,plain,
% 5.60/4.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s23, s24)) | until2p29(s24) | (~xuntil2p30(s23)))),
% 5.60/4.45 inference(quant_inst,[status(thm)],[])).
% 5.60/4.45 tff(22638,plain,
% 5.60/4.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s23, s24)) | until2p29(s24) | (~xuntil2p30(s23))),
% 5.60/4.45 inference(modus_ponens,[status(thm)],[22637, 22636])).
% 5.60/4.45 tff(22639,plain,
% 5.60/4.45 (until2p29(s24) | (~xuntil2p30(s23))),
% 5.60/4.45 inference(unit_resolution,[status(thm)],[22638, 2299, 20808])).
% 5.60/4.45 tff(22640,plain,
% 5.60/4.45 (~xuntil2p30(s23)),
% 5.60/4.45 inference(unit_resolution,[status(thm)],[22639, 22635])).
% 5.60/4.45 tff(22641,plain,
% 5.60/4.45 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s23) | xuntil2p30(s23) | (~until2p29(s23)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s23) | xuntil2p30(s23) | (~until2p29(s23)))),
% 5.60/4.45 inference(rewrite,[status(thm)],[])).
% 5.60/4.45 tff(22642,plain,
% 5.60/4.45 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s23) | xuntil2p30(s23) | (~until2p29(s23)))),
% 5.60/4.45 inference(quant_inst,[status(thm)],[])).
% 5.60/4.45 tff(22643,plain,
% 5.60/4.45 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s23) | xuntil2p30(s23) | (~until2p29(s23))),
% 5.60/4.45 inference(modus_ponens,[status(thm)],[22642, 22641])).
% 5.60/4.45 tff(22644,plain,
% 5.60/4.45 (xuntil2p30(s23) | (~until2p29(s23))),
% 5.60/4.45 inference(unit_resolution,[status(thm)],[22643, 20793, 17816])).
% 5.60/4.45 tff(22645,plain,
% 5.60/4.45 (~until2p29(s23)),
% 5.60/4.45 inference(unit_resolution,[status(thm)],[22644, 22640])).
% 5.60/4.45 tff(22646,plain,
% 5.60/4.45 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s22, s23)) | until2p29(s23) | (~xuntil2p30(s22)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s22, s23)) | until2p29(s23) | (~xuntil2p30(s22)))),
% 5.60/4.45 inference(rewrite,[status(thm)],[])).
% 5.60/4.45 tff(22647,plain,
% 5.60/4.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s22, s23)) | until2p29(s23) | (~xuntil2p30(s22)))),
% 5.60/4.45 inference(quant_inst,[status(thm)],[])).
% 5.60/4.45 tff(22648,plain,
% 5.60/4.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s22, s23)) | until2p29(s23) | (~xuntil2p30(s22))),
% 5.60/4.45 inference(modus_ponens,[status(thm)],[22647, 22646])).
% 5.60/4.45 tff(22649,plain,
% 5.60/4.45 (until2p29(s23) | (~xuntil2p30(s22))),
% 5.60/4.45 inference(unit_resolution,[status(thm)],[22648, 2224, 20808])).
% 5.60/4.45 tff(22650,plain,
% 5.60/4.45 (~xuntil2p30(s22)),
% 5.60/4.45 inference(unit_resolution,[status(thm)],[22649, 22645])).
% 5.60/4.45 tff(22651,plain,
% 5.60/4.45 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s22) | xuntil2p30(s22) | (~until2p29(s22)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s22) | xuntil2p30(s22) | (~until2p29(s22)))),
% 5.60/4.45 inference(rewrite,[status(thm)],[])).
% 5.60/4.45 tff(22652,plain,
% 5.60/4.45 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s22) | xuntil2p30(s22) | (~until2p29(s22)))),
% 5.60/4.45 inference(quant_inst,[status(thm)],[])).
% 5.60/4.45 tff(22653,plain,
% 5.60/4.45 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s22) | xuntil2p30(s22) | (~until2p29(s22))),
% 5.60/4.45 inference(modus_ponens,[status(thm)],[22652, 22651])).
% 5.60/4.45 tff(22654,plain,
% 5.60/4.45 (xuntil2p30(s22) | (~until2p29(s22))),
% 5.60/4.45 inference(unit_resolution,[status(thm)],[22653, 20793, 17825])).
% 5.60/4.45 tff(22655,plain,
% 5.60/4.45 (~until2p29(s22)),
% 5.60/4.45 inference(unit_resolution,[status(thm)],[22654, 22650])).
% 5.60/4.45 tff(22656,plain,
% 5.60/4.45 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s21, s22)) | until2p29(s22) | (~xuntil2p30(s21)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s21, s22)) | until2p29(s22) | (~xuntil2p30(s21)))),
% 5.60/4.45 inference(rewrite,[status(thm)],[])).
% 5.60/4.45 tff(22657,plain,
% 5.60/4.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s21, s22)) | until2p29(s22) | (~xuntil2p30(s21)))),
% 5.60/4.45 inference(quant_inst,[status(thm)],[])).
% 5.60/4.45 tff(22658,plain,
% 5.60/4.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s21, s22)) | until2p29(s22) | (~xuntil2p30(s21))),
% 5.60/4.45 inference(modus_ponens,[status(thm)],[22657, 22656])).
% 5.60/4.45 tff(22659,plain,
% 5.60/4.45 (until2p29(s22) | (~xuntil2p30(s21))),
% 5.60/4.45 inference(unit_resolution,[status(thm)],[22658, 2160, 20808])).
% 5.60/4.45 tff(22660,plain,
% 5.60/4.45 (~xuntil2p30(s21)),
% 5.60/4.45 inference(unit_resolution,[status(thm)],[22659, 22655])).
% 5.60/4.45 tff(22661,plain,
% 5.60/4.45 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s21) | xuntil2p30(s21) | (~until2p29(s21)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s21) | xuntil2p30(s21) | (~until2p29(s21)))),
% 5.60/4.45 inference(rewrite,[status(thm)],[])).
% 5.60/4.45 tff(22662,plain,
% 5.60/4.45 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s21) | xuntil2p30(s21) | (~until2p29(s21)))),
% 5.60/4.45 inference(quant_inst,[status(thm)],[])).
% 5.60/4.45 tff(22663,plain,
% 5.60/4.45 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s21) | xuntil2p30(s21) | (~until2p29(s21))),
% 5.60/4.45 inference(modus_ponens,[status(thm)],[22662, 22661])).
% 5.60/4.45 tff(22664,plain,
% 5.60/4.45 (xuntil2p30(s21) | (~until2p29(s21))),
% 5.60/4.45 inference(unit_resolution,[status(thm)],[22663, 20793, 17829])).
% 5.60/4.45 tff(22665,plain,
% 5.60/4.45 (~until2p29(s21)),
% 5.60/4.45 inference(unit_resolution,[status(thm)],[22664, 22660])).
% 5.60/4.45 tff(22666,plain,
% 5.60/4.45 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s20, s21)) | until2p29(s21) | (~xuntil2p30(s20)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s20, s21)) | until2p29(s21) | (~xuntil2p30(s20)))),
% 5.60/4.45 inference(rewrite,[status(thm)],[])).
% 5.60/4.45 tff(22667,plain,
% 5.60/4.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s20, s21)) | until2p29(s21) | (~xuntil2p30(s20)))),
% 5.60/4.45 inference(quant_inst,[status(thm)],[])).
% 5.60/4.45 tff(22668,plain,
% 5.60/4.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s20, s21)) | until2p29(s21) | (~xuntil2p30(s20))),
% 5.60/4.45 inference(modus_ponens,[status(thm)],[22667, 22666])).
% 5.60/4.45 tff(22669,plain,
% 5.60/4.45 (until2p29(s21) | (~xuntil2p30(s20))),
% 5.60/4.45 inference(unit_resolution,[status(thm)],[22668, 2065, 20808])).
% 5.60/4.45 tff(22670,plain,
% 5.60/4.45 (~xuntil2p30(s20)),
% 5.60/4.45 inference(unit_resolution,[status(thm)],[22669, 22665])).
% 5.60/4.45 tff(22671,plain,
% 5.60/4.45 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s20) | xuntil2p30(s20) | (~until2p29(s20)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s20) | xuntil2p30(s20) | (~until2p29(s20)))),
% 5.60/4.45 inference(rewrite,[status(thm)],[])).
% 5.60/4.45 tff(22672,plain,
% 5.60/4.45 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s20) | xuntil2p30(s20) | (~until2p29(s20)))),
% 5.60/4.45 inference(quant_inst,[status(thm)],[])).
% 5.60/4.45 tff(22673,plain,
% 5.60/4.45 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s20) | xuntil2p30(s20) | (~until2p29(s20))),
% 5.60/4.45 inference(modus_ponens,[status(thm)],[22672, 22671])).
% 5.60/4.45 tff(22674,plain,
% 5.60/4.45 (xuntil2p30(s20) | (~until2p29(s20))),
% 5.60/4.45 inference(unit_resolution,[status(thm)],[22673, 20793, 18277])).
% 5.60/4.45 tff(22675,plain,
% 5.60/4.45 (~until2p29(s20)),
% 5.60/4.45 inference(unit_resolution,[status(thm)],[22674, 22670])).
% 5.60/4.45 tff(22676,plain,
% 5.60/4.45 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s19, s20)) | until2p29(s20) | (~xuntil2p30(s19)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s19, s20)) | until2p29(s20) | (~xuntil2p30(s19)))),
% 5.60/4.45 inference(rewrite,[status(thm)],[])).
% 5.60/4.45 tff(22677,plain,
% 5.60/4.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s19, s20)) | until2p29(s20) | (~xuntil2p30(s19)))),
% 5.60/4.45 inference(quant_inst,[status(thm)],[])).
% 5.60/4.45 tff(22678,plain,
% 5.60/4.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s19, s20)) | until2p29(s20) | (~xuntil2p30(s19))),
% 5.60/4.45 inference(modus_ponens,[status(thm)],[22677, 22676])).
% 5.60/4.45 tff(22679,plain,
% 5.60/4.45 (until2p29(s20) | (~xuntil2p30(s19))),
% 5.60/4.45 inference(unit_resolution,[status(thm)],[22678, 2004, 20808])).
% 5.60/4.45 tff(22680,plain,
% 5.60/4.45 (~xuntil2p30(s19)),
% 5.60/4.45 inference(unit_resolution,[status(thm)],[22679, 22675])).
% 5.60/4.45 tff(22681,plain,
% 5.60/4.45 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s19) | xuntil2p30(s19) | (~until2p29(s19)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s19) | xuntil2p30(s19) | (~until2p29(s19)))),
% 5.60/4.45 inference(rewrite,[status(thm)],[])).
% 5.60/4.45 tff(22682,plain,
% 5.60/4.45 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s19) | xuntil2p30(s19) | (~until2p29(s19)))),
% 5.60/4.45 inference(quant_inst,[status(thm)],[])).
% 5.60/4.45 tff(22683,plain,
% 5.60/4.45 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s19) | xuntil2p30(s19) | (~until2p29(s19))),
% 5.60/4.45 inference(modus_ponens,[status(thm)],[22682, 22681])).
% 5.60/4.45 tff(22684,plain,
% 5.60/4.45 (xuntil2p30(s19) | (~until2p29(s19))),
% 5.60/4.45 inference(unit_resolution,[status(thm)],[22683, 20793, 17845])).
% 5.60/4.45 tff(22685,plain,
% 5.60/4.45 (~until2p29(s19)),
% 5.60/4.45 inference(unit_resolution,[status(thm)],[22684, 22680])).
% 5.60/4.45 tff(22686,plain,
% 5.60/4.45 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s18, s19)) | until2p29(s19) | (~xuntil2p30(s18)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s18, s19)) | until2p29(s19) | (~xuntil2p30(s18)))),
% 5.60/4.45 inference(rewrite,[status(thm)],[])).
% 5.60/4.45 tff(22687,plain,
% 5.60/4.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s18, s19)) | until2p29(s19) | (~xuntil2p30(s18)))),
% 5.60/4.45 inference(quant_inst,[status(thm)],[])).
% 5.60/4.45 tff(22688,plain,
% 5.60/4.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s18, s19)) | until2p29(s19) | (~xuntil2p30(s18))),
% 5.60/4.45 inference(modus_ponens,[status(thm)],[22687, 22686])).
% 5.60/4.45 tff(22689,plain,
% 5.60/4.45 (until2p29(s19) | (~xuntil2p30(s18))),
% 5.60/4.45 inference(unit_resolution,[status(thm)],[22688, 1926, 20808])).
% 5.60/4.45 tff(22690,plain,
% 5.60/4.45 (~xuntil2p30(s18)),
% 5.60/4.45 inference(unit_resolution,[status(thm)],[22689, 22685])).
% 5.60/4.45 tff(22691,plain,
% 5.60/4.45 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s18) | xuntil2p30(s18) | (~until2p29(s18)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s18) | xuntil2p30(s18) | (~until2p29(s18)))),
% 5.60/4.45 inference(rewrite,[status(thm)],[])).
% 5.60/4.45 tff(22692,plain,
% 5.60/4.45 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s18) | xuntil2p30(s18) | (~until2p29(s18)))),
% 5.60/4.45 inference(quant_inst,[status(thm)],[])).
% 5.60/4.45 tff(22693,plain,
% 5.60/4.45 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s18) | xuntil2p30(s18) | (~until2p29(s18))),
% 5.60/4.45 inference(modus_ponens,[status(thm)],[22692, 22691])).
% 5.60/4.45 tff(22694,plain,
% 5.60/4.45 (xuntil2p30(s18) | (~until2p29(s18))),
% 5.60/4.45 inference(unit_resolution,[status(thm)],[22693, 20793, 17854])).
% 5.60/4.45 tff(22695,plain,
% 5.60/4.45 (~until2p29(s18)),
% 5.60/4.45 inference(unit_resolution,[status(thm)],[22694, 22690])).
% 5.60/4.45 tff(22696,plain,
% 5.60/4.45 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s17, s18)) | until2p29(s18) | (~xuntil2p30(s17)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s17, s18)) | until2p29(s18) | (~xuntil2p30(s17)))),
% 5.60/4.45 inference(rewrite,[status(thm)],[])).
% 5.60/4.45 tff(22697,plain,
% 5.60/4.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s17, s18)) | until2p29(s18) | (~xuntil2p30(s17)))),
% 5.60/4.45 inference(quant_inst,[status(thm)],[])).
% 5.60/4.45 tff(22698,plain,
% 5.60/4.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s17, s18)) | until2p29(s18) | (~xuntil2p30(s17))),
% 5.60/4.45 inference(modus_ponens,[status(thm)],[22697, 22696])).
% 5.60/4.45 tff(22699,plain,
% 5.60/4.45 (until2p29(s18) | (~xuntil2p30(s17))),
% 5.60/4.45 inference(unit_resolution,[status(thm)],[22698, 1827, 20808])).
% 5.60/4.45 tff(22700,plain,
% 5.60/4.45 (~xuntil2p30(s17)),
% 5.60/4.45 inference(unit_resolution,[status(thm)],[22699, 22695])).
% 5.60/4.45 tff(22701,plain,
% 5.60/4.45 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s17) | xuntil2p30(s17) | (~until2p29(s17)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s17) | xuntil2p30(s17) | (~until2p29(s17)))),
% 5.60/4.45 inference(rewrite,[status(thm)],[])).
% 5.60/4.45 tff(22702,plain,
% 5.60/4.45 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s17) | xuntil2p30(s17) | (~until2p29(s17)))),
% 5.60/4.45 inference(quant_inst,[status(thm)],[])).
% 5.60/4.45 tff(22703,plain,
% 5.60/4.45 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s17) | xuntil2p30(s17) | (~until2p29(s17))),
% 5.60/4.45 inference(modus_ponens,[status(thm)],[22702, 22701])).
% 5.60/4.45 tff(22704,plain,
% 5.60/4.45 (xuntil2p30(s17) | (~until2p29(s17))),
% 5.60/4.45 inference(unit_resolution,[status(thm)],[22703, 20793, 17858])).
% 5.60/4.45 tff(22705,plain,
% 5.60/4.45 (~until2p29(s17)),
% 5.60/4.45 inference(unit_resolution,[status(thm)],[22704, 22700])).
% 5.60/4.45 tff(22706,plain,
% 5.60/4.45 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s16, s17)) | until2p29(s17) | (~xuntil2p30(s16)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s16, s17)) | until2p29(s17) | (~xuntil2p30(s16)))),
% 5.60/4.45 inference(rewrite,[status(thm)],[])).
% 5.60/4.45 tff(22707,plain,
% 5.60/4.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s16, s17)) | until2p29(s17) | (~xuntil2p30(s16)))),
% 5.60/4.45 inference(quant_inst,[status(thm)],[])).
% 5.60/4.45 tff(22708,plain,
% 5.60/4.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s16, s17)) | until2p29(s17) | (~xuntil2p30(s16))),
% 5.60/4.45 inference(modus_ponens,[status(thm)],[22707, 22706])).
% 5.60/4.45 tff(22709,plain,
% 5.60/4.45 (until2p29(s17) | (~xuntil2p30(s16))),
% 5.60/4.45 inference(unit_resolution,[status(thm)],[22708, 1760, 20808])).
% 5.60/4.45 tff(22710,plain,
% 5.60/4.45 (~xuntil2p30(s16)),
% 5.60/4.45 inference(unit_resolution,[status(thm)],[22709, 22705])).
% 5.60/4.45 tff(22711,plain,
% 5.60/4.45 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s16) | xuntil2p30(s16) | (~until2p29(s16)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s16) | xuntil2p30(s16) | (~until2p29(s16)))),
% 5.60/4.45 inference(rewrite,[status(thm)],[])).
% 5.60/4.45 tff(22712,plain,
% 5.60/4.45 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s16) | xuntil2p30(s16) | (~until2p29(s16)))),
% 5.60/4.45 inference(quant_inst,[status(thm)],[])).
% 5.60/4.45 tff(22713,plain,
% 5.60/4.45 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s16) | xuntil2p30(s16) | (~until2p29(s16))),
% 5.60/4.45 inference(modus_ponens,[status(thm)],[22712, 22711])).
% 5.60/4.45 tff(22714,plain,
% 5.60/4.45 (xuntil2p30(s16) | (~until2p29(s16))),
% 5.60/4.46 inference(unit_resolution,[status(thm)],[22713, 20793, 18223])).
% 5.60/4.46 tff(22715,plain,
% 5.60/4.46 (~until2p29(s16)),
% 5.60/4.46 inference(unit_resolution,[status(thm)],[22714, 22710])).
% 5.60/4.46 tff(22716,plain,
% 5.60/4.46 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s15, s16)) | until2p29(s16) | (~xuntil2p30(s15)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s15, s16)) | until2p29(s16) | (~xuntil2p30(s15)))),
% 5.60/4.46 inference(rewrite,[status(thm)],[])).
% 5.60/4.46 tff(22717,plain,
% 5.60/4.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s15, s16)) | until2p29(s16) | (~xuntil2p30(s15)))),
% 5.60/4.46 inference(quant_inst,[status(thm)],[])).
% 5.60/4.46 tff(22718,plain,
% 5.60/4.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s15, s16)) | until2p29(s16) | (~xuntil2p30(s15))),
% 5.60/4.46 inference(modus_ponens,[status(thm)],[22717, 22716])).
% 5.60/4.46 tff(22719,plain,
% 5.60/4.46 (until2p29(s16) | (~xuntil2p30(s15))),
% 5.60/4.46 inference(unit_resolution,[status(thm)],[22718, 1671, 20808])).
% 5.60/4.46 tff(22720,plain,
% 5.60/4.46 (~xuntil2p30(s15)),
% 5.60/4.46 inference(unit_resolution,[status(thm)],[22719, 22715])).
% 5.60/4.46 tff(22721,plain,
% 5.60/4.46 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s15) | xuntil2p30(s15) | (~until2p29(s15)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s15) | xuntil2p30(s15) | (~until2p29(s15)))),
% 5.60/4.46 inference(rewrite,[status(thm)],[])).
% 5.60/4.46 tff(22722,plain,
% 5.60/4.46 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s15) | xuntil2p30(s15) | (~until2p29(s15)))),
% 5.60/4.46 inference(quant_inst,[status(thm)],[])).
% 5.60/4.46 tff(22723,plain,
% 5.60/4.46 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s15) | xuntil2p30(s15) | (~until2p29(s15))),
% 5.60/4.46 inference(modus_ponens,[status(thm)],[22722, 22721])).
% 5.60/4.46 tff(22724,plain,
% 5.60/4.46 (xuntil2p30(s15) | (~until2p29(s15))),
% 5.60/4.46 inference(unit_resolution,[status(thm)],[22723, 20793, 17874])).
% 5.60/4.46 tff(22725,plain,
% 5.60/4.46 (~until2p29(s15)),
% 5.60/4.46 inference(unit_resolution,[status(thm)],[22724, 22720])).
% 5.60/4.46 tff(22726,plain,
% 5.60/4.46 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s14, s15)) | until2p29(s15) | (~xuntil2p30(s14)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s14, s15)) | until2p29(s15) | (~xuntil2p30(s14)))),
% 5.60/4.46 inference(rewrite,[status(thm)],[])).
% 5.60/4.46 tff(22727,plain,
% 5.60/4.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s14, s15)) | until2p29(s15) | (~xuntil2p30(s14)))),
% 5.60/4.46 inference(quant_inst,[status(thm)],[])).
% 5.60/4.46 tff(22728,plain,
% 5.60/4.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s14, s15)) | until2p29(s15) | (~xuntil2p30(s14))),
% 5.60/4.46 inference(modus_ponens,[status(thm)],[22727, 22726])).
% 5.60/4.46 tff(22729,plain,
% 5.60/4.46 (until2p29(s15) | (~xuntil2p30(s14))),
% 5.60/4.46 inference(unit_resolution,[status(thm)],[22728, 1596, 20808])).
% 5.60/4.46 tff(22730,plain,
% 5.60/4.46 (~xuntil2p30(s14)),
% 5.60/4.46 inference(unit_resolution,[status(thm)],[22729, 22725])).
% 5.60/4.46 tff(22731,plain,
% 5.60/4.46 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s14) | xuntil2p30(s14) | (~until2p29(s14)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s14) | xuntil2p30(s14) | (~until2p29(s14)))),
% 5.60/4.46 inference(rewrite,[status(thm)],[])).
% 5.60/4.46 tff(22732,plain,
% 5.60/4.46 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s14) | xuntil2p30(s14) | (~until2p29(s14)))),
% 5.60/4.46 inference(quant_inst,[status(thm)],[])).
% 5.60/4.46 tff(22733,plain,
% 5.60/4.46 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s14) | xuntil2p30(s14) | (~until2p29(s14))),
% 5.60/4.46 inference(modus_ponens,[status(thm)],[22732, 22731])).
% 5.60/4.46 tff(22734,plain,
% 5.60/4.46 (xuntil2p30(s14) | (~until2p29(s14))),
% 5.60/4.46 inference(unit_resolution,[status(thm)],[22733, 20793, 17883])).
% 5.60/4.46 tff(22735,plain,
% 5.60/4.46 (~until2p29(s14)),
% 5.60/4.46 inference(unit_resolution,[status(thm)],[22734, 22730])).
% 5.60/4.46 tff(22736,plain,
% 5.60/4.46 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s13, s14)) | until2p29(s14) | (~xuntil2p30(s13)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s13, s14)) | until2p29(s14) | (~xuntil2p30(s13)))),
% 5.60/4.46 inference(rewrite,[status(thm)],[])).
% 5.60/4.46 tff(22737,plain,
% 5.60/4.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s13, s14)) | until2p29(s14) | (~xuntil2p30(s13)))),
% 5.60/4.46 inference(quant_inst,[status(thm)],[])).
% 5.60/4.46 tff(22738,plain,
% 5.60/4.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s13, s14)) | until2p29(s14) | (~xuntil2p30(s13))),
% 5.60/4.46 inference(modus_ponens,[status(thm)],[22737, 22736])).
% 5.60/4.46 tff(22739,plain,
% 5.60/4.46 (until2p29(s14) | (~xuntil2p30(s13))),
% 5.60/4.46 inference(unit_resolution,[status(thm)],[22738, 1532, 20808])).
% 5.60/4.46 tff(22740,plain,
% 5.60/4.46 (~xuntil2p30(s13)),
% 5.60/4.46 inference(unit_resolution,[status(thm)],[22739, 22735])).
% 5.60/4.46 tff(22741,plain,
% 5.60/4.46 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s13) | xuntil2p30(s13) | (~until2p29(s13)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s13) | xuntil2p30(s13) | (~until2p29(s13)))),
% 5.60/4.46 inference(rewrite,[status(thm)],[])).
% 5.60/4.46 tff(22742,plain,
% 5.60/4.46 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s13) | xuntil2p30(s13) | (~until2p29(s13)))),
% 5.60/4.46 inference(quant_inst,[status(thm)],[])).
% 5.60/4.46 tff(22743,plain,
% 5.60/4.46 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s13) | xuntil2p30(s13) | (~until2p29(s13))),
% 5.60/4.46 inference(modus_ponens,[status(thm)],[22742, 22741])).
% 5.60/4.46 tff(22744,plain,
% 5.60/4.46 (xuntil2p30(s13) | (~until2p29(s13))),
% 5.60/4.46 inference(unit_resolution,[status(thm)],[22743, 20793, 17887])).
% 5.60/4.46 tff(22745,plain,
% 5.60/4.46 (~until2p29(s13)),
% 5.60/4.46 inference(unit_resolution,[status(thm)],[22744, 22740])).
% 5.60/4.46 tff(22746,plain,
% 5.60/4.46 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s12, s13)) | until2p29(s13) | (~xuntil2p30(s12)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s12, s13)) | until2p29(s13) | (~xuntil2p30(s12)))),
% 5.60/4.46 inference(rewrite,[status(thm)],[])).
% 5.60/4.46 tff(22747,plain,
% 5.60/4.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s12, s13)) | until2p29(s13) | (~xuntil2p30(s12)))),
% 5.60/4.46 inference(quant_inst,[status(thm)],[])).
% 5.60/4.46 tff(22748,plain,
% 5.60/4.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s12, s13)) | until2p29(s13) | (~xuntil2p30(s12))),
% 5.60/4.46 inference(modus_ponens,[status(thm)],[22747, 22746])).
% 5.60/4.46 tff(22749,plain,
% 5.60/4.46 (until2p29(s13) | (~xuntil2p30(s12))),
% 5.60/4.46 inference(unit_resolution,[status(thm)],[22748, 1437, 20808])).
% 5.60/4.46 tff(22750,plain,
% 5.60/4.46 (~xuntil2p30(s12)),
% 5.60/4.46 inference(unit_resolution,[status(thm)],[22749, 22745])).
% 5.60/4.46 tff(22751,plain,
% 5.60/4.46 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s12) | xuntil2p30(s12) | (~until2p29(s12)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s12) | xuntil2p30(s12) | (~until2p29(s12)))),
% 5.60/4.46 inference(rewrite,[status(thm)],[])).
% 5.60/4.46 tff(22752,plain,
% 5.60/4.46 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s12) | xuntil2p30(s12) | (~until2p29(s12)))),
% 5.60/4.46 inference(quant_inst,[status(thm)],[])).
% 5.60/4.46 tff(22753,plain,
% 5.60/4.46 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s12) | xuntil2p30(s12) | (~until2p29(s12))),
% 5.60/4.46 inference(modus_ponens,[status(thm)],[22752, 22751])).
% 5.60/4.46 tff(22754,plain,
% 5.60/4.46 (xuntil2p30(s12) | (~until2p29(s12))),
% 5.60/4.46 inference(unit_resolution,[status(thm)],[22753, 20793, 18169])).
% 5.60/4.46 tff(22755,plain,
% 5.60/4.46 (~until2p29(s12)),
% 5.60/4.46 inference(unit_resolution,[status(thm)],[22754, 22750])).
% 5.60/4.46 tff(22756,plain,
% 5.60/4.46 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s11, s12)) | until2p29(s12) | (~xuntil2p30(s11)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s11, s12)) | until2p29(s12) | (~xuntil2p30(s11)))),
% 5.60/4.46 inference(rewrite,[status(thm)],[])).
% 5.60/4.46 tff(22757,plain,
% 5.60/4.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s11, s12)) | until2p29(s12) | (~xuntil2p30(s11)))),
% 5.60/4.46 inference(quant_inst,[status(thm)],[])).
% 5.60/4.46 tff(22758,plain,
% 5.60/4.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s11, s12)) | until2p29(s12) | (~xuntil2p30(s11))),
% 5.60/4.46 inference(modus_ponens,[status(thm)],[22757, 22756])).
% 5.60/4.46 tff(22759,plain,
% 5.60/4.46 (until2p29(s12) | (~xuntil2p30(s11))),
% 5.60/4.46 inference(unit_resolution,[status(thm)],[22758, 1376, 20808])).
% 5.60/4.46 tff(22760,plain,
% 5.60/4.46 (~xuntil2p30(s11)),
% 5.60/4.46 inference(unit_resolution,[status(thm)],[22759, 22755])).
% 5.60/4.46 tff(22761,plain,
% 5.60/4.46 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s11) | xuntil2p30(s11) | (~until2p29(s11)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s11) | xuntil2p30(s11) | (~until2p29(s11)))),
% 5.60/4.46 inference(rewrite,[status(thm)],[])).
% 5.60/4.46 tff(22762,plain,
% 5.60/4.46 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s11) | xuntil2p30(s11) | (~until2p29(s11)))),
% 5.60/4.46 inference(quant_inst,[status(thm)],[])).
% 5.60/4.46 tff(22763,plain,
% 5.60/4.46 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s11) | xuntil2p30(s11) | (~until2p29(s11))),
% 5.60/4.46 inference(modus_ponens,[status(thm)],[22762, 22761])).
% 5.60/4.46 tff(22764,plain,
% 5.60/4.46 (xuntil2p30(s11) | (~until2p29(s11))),
% 5.60/4.46 inference(unit_resolution,[status(thm)],[22763, 20793, 17903])).
% 5.60/4.46 tff(22765,plain,
% 5.60/4.46 (~until2p29(s11)),
% 5.60/4.46 inference(unit_resolution,[status(thm)],[22764, 22760])).
% 5.60/4.46 tff(22766,plain,
% 5.60/4.46 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s10, s11)) | until2p29(s11) | (~xuntil2p30(s10)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s10, s11)) | until2p29(s11) | (~xuntil2p30(s10)))),
% 5.60/4.46 inference(rewrite,[status(thm)],[])).
% 5.60/4.46 tff(22767,plain,
% 5.60/4.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s10, s11)) | until2p29(s11) | (~xuntil2p30(s10)))),
% 5.60/4.46 inference(quant_inst,[status(thm)],[])).
% 5.60/4.46 tff(22768,plain,
% 5.60/4.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s10, s11)) | until2p29(s11) | (~xuntil2p30(s10))),
% 5.60/4.46 inference(modus_ponens,[status(thm)],[22767, 22766])).
% 5.60/4.46 tff(22769,plain,
% 5.60/4.46 (until2p29(s11) | (~xuntil2p30(s10))),
% 5.60/4.46 inference(unit_resolution,[status(thm)],[22768, 1298, 20808])).
% 5.60/4.46 tff(22770,plain,
% 5.60/4.46 (~xuntil2p30(s10)),
% 5.60/4.46 inference(unit_resolution,[status(thm)],[22769, 22765])).
% 5.60/4.46 tff(22771,plain,
% 5.60/4.46 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s10) | xuntil2p30(s10) | (~until2p29(s10)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s10) | xuntil2p30(s10) | (~until2p29(s10)))),
% 5.60/4.46 inference(rewrite,[status(thm)],[])).
% 5.60/4.46 tff(22772,plain,
% 5.60/4.46 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s10) | xuntil2p30(s10) | (~until2p29(s10)))),
% 5.60/4.46 inference(quant_inst,[status(thm)],[])).
% 5.60/4.46 tff(22773,plain,
% 5.60/4.46 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s10) | xuntil2p30(s10) | (~until2p29(s10))),
% 5.60/4.46 inference(modus_ponens,[status(thm)],[22772, 22771])).
% 5.60/4.46 tff(22774,plain,
% 5.60/4.46 (xuntil2p30(s10) | (~until2p29(s10))),
% 5.60/4.46 inference(unit_resolution,[status(thm)],[22773, 20793, 17912])).
% 5.60/4.46 tff(22775,plain,
% 5.60/4.46 (~until2p29(s10)),
% 5.60/4.46 inference(unit_resolution,[status(thm)],[22774, 22770])).
% 5.60/4.46 tff(22776,plain,
% 5.60/4.46 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s9, s10)) | until2p29(s10) | (~xuntil2p30(s9)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s9, s10)) | until2p29(s10) | (~xuntil2p30(s9)))),
% 5.60/4.46 inference(rewrite,[status(thm)],[])).
% 5.60/4.46 tff(22777,plain,
% 5.60/4.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s9, s10)) | until2p29(s10) | (~xuntil2p30(s9)))),
% 5.60/4.46 inference(quant_inst,[status(thm)],[])).
% 5.60/4.46 tff(22778,plain,
% 5.60/4.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s9, s10)) | until2p29(s10) | (~xuntil2p30(s9))),
% 5.60/4.46 inference(modus_ponens,[status(thm)],[22777, 22776])).
% 5.60/4.46 tff(22779,plain,
% 5.60/4.46 (until2p29(s10) | (~xuntil2p30(s9))),
% 5.60/4.46 inference(unit_resolution,[status(thm)],[22778, 1199, 20808])).
% 5.60/4.46 tff(22780,plain,
% 5.60/4.46 (~xuntil2p30(s9)),
% 5.60/4.46 inference(unit_resolution,[status(thm)],[22779, 22775])).
% 5.60/4.46 tff(22781,plain,
% 5.60/4.46 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s9) | xuntil2p30(s9) | (~until2p29(s9)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s9) | xuntil2p30(s9) | (~until2p29(s9)))),
% 5.60/4.46 inference(rewrite,[status(thm)],[])).
% 5.60/4.46 tff(22782,plain,
% 5.60/4.46 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s9) | xuntil2p30(s9) | (~until2p29(s9)))),
% 5.60/4.46 inference(quant_inst,[status(thm)],[])).
% 5.60/4.46 tff(22783,plain,
% 5.60/4.46 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s9) | xuntil2p30(s9) | (~until2p29(s9))),
% 5.60/4.46 inference(modus_ponens,[status(thm)],[22782, 22781])).
% 5.60/4.46 tff(22784,plain,
% 5.60/4.46 (xuntil2p30(s9) | (~until2p29(s9))),
% 5.60/4.46 inference(unit_resolution,[status(thm)],[22783, 20793, 17916])).
% 5.60/4.46 tff(22785,plain,
% 5.60/4.46 (~until2p29(s9)),
% 5.60/4.46 inference(unit_resolution,[status(thm)],[22784, 22780])).
% 5.60/4.46 tff(22786,assumption,(trans(s204, s9)), introduced(assumption)).
% 5.60/4.46 tff(22787,plain,
% 5.60/4.46 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s9) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s9)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s9) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s9)))),
% 5.60/4.46 inference(rewrite,[status(thm)],[])).
% 5.60/4.46 tff(22788,plain,
% 5.60/4.46 (((~trans(s204, s9)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s9)) <=> (until2p29(s9) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s9)))),
% 5.60/4.46 inference(rewrite,[status(thm)],[])).
% 5.60/4.46 tff(22789,plain,
% 5.60/4.46 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s9)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s9))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s9) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s9))))),
% 5.60/4.46 inference(monotonicity,[status(thm)],[22788])).
% 5.60/4.46 tff(22790,plain,
% 5.60/4.46 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s9)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s9))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s9) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s9)))),
% 5.60/4.46 inference(transitivity,[status(thm)],[22789, 22787])).
% 5.60/4.46 tff(22791,plain,
% 5.60/4.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s9)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s9))),
% 5.60/4.46 inference(quant_inst,[status(thm)],[])).
% 5.60/4.46 tff(22792,plain,
% 5.60/4.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s9) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s9))),
% 5.60/4.46 inference(modus_ponens,[status(thm)],[22791, 22790])).
% 5.60/4.46 tff(22793,plain,
% 5.60/4.46 ($false),
% 5.60/4.46 inference(unit_resolution,[status(thm)],[22792, 20779, 22786, 21667, 22785, 20769])).
% 5.60/4.46 tff(22794,plain,(~trans(s204, s9)), inference(lemma,lemma(discharge,[]))).
% 5.60/4.46 tff(22795,assumption,(trans(s204, s136)), introduced(assumption)).
% 5.60/4.46 tff(22796,plain,
% 5.60/4.46 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s136) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s136)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s136) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s136)))),
% 5.60/4.46 inference(rewrite,[status(thm)],[])).
% 5.60/4.46 tff(22797,plain,
% 5.60/4.46 (((~trans(s204, s136)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s136)) <=> (until2p29(s136) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s136)))),
% 5.60/4.46 inference(rewrite,[status(thm)],[])).
% 5.60/4.46 tff(22798,plain,
% 5.60/4.46 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s136)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s136))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s136) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s136))))),
% 5.60/4.46 inference(monotonicity,[status(thm)],[22797])).
% 5.60/4.46 tff(22799,plain,
% 5.60/4.46 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s136)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s136))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s136) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s136)))),
% 5.60/4.46 inference(transitivity,[status(thm)],[22798, 22796])).
% 5.60/4.46 tff(22800,plain,
% 5.60/4.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s136)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s136))),
% 5.60/4.46 inference(quant_inst,[status(thm)],[])).
% 5.60/4.46 tff(22801,plain,
% 5.60/4.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s136) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s136))),
% 5.60/4.46 inference(modus_ponens,[status(thm)],[22800, 22799])).
% 5.60/4.46 tff(22802,plain,
% 5.60/4.46 ($false),
% 5.60/4.46 inference(unit_resolution,[status(thm)],[22801, 20779, 22795, 21667, 21487, 20769])).
% 5.60/4.46 tff(22803,plain,(~trans(s204, s136)), inference(lemma,lemma(discharge,[]))).
% 5.60/4.46 tff(22804,plain,
% 5.60/4.46 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s8, s9)) | until2p29(s9) | (~xuntil2p30(s8)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s8, s9)) | until2p29(s9) | (~xuntil2p30(s8)))),
% 5.60/4.46 inference(rewrite,[status(thm)],[])).
% 5.60/4.46 tff(22805,plain,
% 5.60/4.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s8, s9)) | until2p29(s9) | (~xuntil2p30(s8)))),
% 5.60/4.46 inference(quant_inst,[status(thm)],[])).
% 5.60/4.46 tff(22806,plain,
% 5.60/4.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s8, s9)) | until2p29(s9) | (~xuntil2p30(s8))),
% 5.60/4.46 inference(modus_ponens,[status(thm)],[22805, 22804])).
% 5.60/4.46 tff(22807,plain,
% 5.60/4.46 (until2p29(s9) | (~xuntil2p30(s8))),
% 5.60/4.46 inference(unit_resolution,[status(thm)],[22806, 1132, 20808])).
% 5.60/4.46 tff(22808,plain,
% 5.60/4.46 (~xuntil2p30(s8)),
% 5.60/4.46 inference(unit_resolution,[status(thm)],[22807, 22785])).
% 5.60/4.46 tff(22809,plain,
% 5.60/4.46 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s8) | xuntil2p30(s8) | (~until2p29(s8)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s8) | xuntil2p30(s8) | (~until2p29(s8)))),
% 5.60/4.46 inference(rewrite,[status(thm)],[])).
% 5.60/4.46 tff(22810,plain,
% 5.60/4.46 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s8) | xuntil2p30(s8) | (~until2p29(s8)))),
% 5.60/4.46 inference(quant_inst,[status(thm)],[])).
% 5.60/4.46 tff(22811,plain,
% 5.60/4.46 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s8) | xuntil2p30(s8) | (~until2p29(s8))),
% 5.60/4.46 inference(modus_ponens,[status(thm)],[22810, 22809])).
% 5.60/4.46 tff(22812,plain,
% 5.60/4.46 (xuntil2p30(s8) | (~until2p29(s8))),
% 5.60/4.46 inference(unit_resolution,[status(thm)],[22811, 20793, 18115])).
% 5.60/4.46 tff(22813,plain,
% 5.60/4.46 (~until2p29(s8)),
% 5.60/4.46 inference(unit_resolution,[status(thm)],[22812, 22808])).
% 5.60/4.46 tff(22814,plain,
% 5.60/4.46 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s7, s8)) | until2p29(s8) | (~xuntil2p30(s7)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s7, s8)) | until2p29(s8) | (~xuntil2p30(s7)))),
% 5.60/4.46 inference(rewrite,[status(thm)],[])).
% 5.60/4.46 tff(22815,plain,
% 5.60/4.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s7, s8)) | until2p29(s8) | (~xuntil2p30(s7)))),
% 5.60/4.46 inference(quant_inst,[status(thm)],[])).
% 5.60/4.46 tff(22816,plain,
% 5.60/4.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s7, s8)) | until2p29(s8) | (~xuntil2p30(s7))),
% 5.60/4.46 inference(modus_ponens,[status(thm)],[22815, 22814])).
% 5.60/4.46 tff(22817,plain,
% 5.60/4.46 (until2p29(s8) | (~xuntil2p30(s7))),
% 5.60/4.46 inference(unit_resolution,[status(thm)],[22816, 1043, 20808])).
% 5.60/4.46 tff(22818,plain,
% 5.60/4.46 (~xuntil2p30(s7)),
% 5.60/4.46 inference(unit_resolution,[status(thm)],[22817, 22813])).
% 5.60/4.46 tff(22819,plain,
% 5.60/4.46 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s7) | xuntil2p30(s7) | (~until2p29(s7)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s7) | xuntil2p30(s7) | (~until2p29(s7)))),
% 5.60/4.46 inference(rewrite,[status(thm)],[])).
% 5.60/4.46 tff(22820,plain,
% 5.60/4.46 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s7) | xuntil2p30(s7) | (~until2p29(s7)))),
% 5.60/4.46 inference(quant_inst,[status(thm)],[])).
% 5.60/4.46 tff(22821,plain,
% 5.60/4.46 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s7) | xuntil2p30(s7) | (~until2p29(s7))),
% 5.60/4.46 inference(modus_ponens,[status(thm)],[22820, 22819])).
% 5.60/4.46 tff(22822,plain,
% 5.60/4.46 (xuntil2p30(s7) | (~until2p29(s7))),
% 5.60/4.46 inference(unit_resolution,[status(thm)],[22821, 20793, 17932])).
% 5.60/4.46 tff(22823,plain,
% 5.60/4.46 (~until2p29(s7)),
% 5.60/4.46 inference(unit_resolution,[status(thm)],[22822, 22818])).
% 5.60/4.46 tff(22824,assumption,(trans(s204, s7)), introduced(assumption)).
% 5.60/4.46 tff(22825,plain,
% 5.60/4.46 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s7) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s7)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s7) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s7)))),
% 5.60/4.46 inference(rewrite,[status(thm)],[])).
% 5.60/4.46 tff(22826,plain,
% 5.60/4.46 (((~trans(s204, s7)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s7)) <=> (until2p29(s7) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s7)))),
% 5.60/4.46 inference(rewrite,[status(thm)],[])).
% 5.60/4.46 tff(22827,plain,
% 5.60/4.46 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s7)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s7))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s7) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s7))))),
% 5.60/4.46 inference(monotonicity,[status(thm)],[22826])).
% 5.60/4.46 tff(22828,plain,
% 5.60/4.46 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s7)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s7))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s7) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s7)))),
% 5.60/4.46 inference(transitivity,[status(thm)],[22827, 22825])).
% 5.60/4.46 tff(22829,plain,
% 5.60/4.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s7)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s7))),
% 5.60/4.46 inference(quant_inst,[status(thm)],[])).
% 5.60/4.46 tff(22830,plain,
% 5.60/4.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s7) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s7))),
% 5.60/4.46 inference(modus_ponens,[status(thm)],[22829, 22828])).
% 5.60/4.46 tff(22831,plain,
% 5.60/4.46 ($false),
% 5.60/4.46 inference(unit_resolution,[status(thm)],[22830, 20779, 22824, 21667, 22823, 20769])).
% 5.60/4.46 tff(22832,plain,(~trans(s204, s7)), inference(lemma,lemma(discharge,[]))).
% 5.60/4.46 tff(22833,assumption,(trans(s204, s204)), introduced(assumption)).
% 5.60/4.46 tff(22834,plain,
% 5.60/4.46 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s204) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s204)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s204) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s204)))),
% 5.60/4.46 inference(rewrite,[status(thm)],[])).
% 5.60/4.46 tff(22835,plain,
% 5.60/4.46 (((~trans(s204, s204)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s204)) <=> (until2p29(s204) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s204)))),
% 5.60/4.46 inference(rewrite,[status(thm)],[])).
% 5.60/4.46 tff(22836,plain,
% 5.60/4.46 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s204)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s204))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s204) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s204))))),
% 5.60/4.46 inference(monotonicity,[status(thm)],[22835])).
% 5.60/4.46 tff(22837,plain,
% 5.60/4.46 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s204)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s204))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s204) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s204)))),
% 5.60/4.46 inference(transitivity,[status(thm)],[22836, 22834])).
% 5.60/4.46 tff(22838,plain,
% 5.60/4.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s204)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s204))),
% 5.60/4.46 inference(quant_inst,[status(thm)],[])).
% 5.60/4.46 tff(22839,plain,
% 5.60/4.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s204) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s204))),
% 5.60/4.46 inference(modus_ponens,[status(thm)],[22838, 22837])).
% 5.60/4.46 tff(22840,plain,
% 5.60/4.46 ($false),
% 5.60/4.46 inference(unit_resolution,[status(thm)],[22839, 20779, 22833, 21667, 20798, 20769])).
% 5.60/4.46 tff(22841,plain,(~trans(s204, s204)), inference(lemma,lemma(discharge,[]))).
% 5.60/4.46 tff(22842,assumption,(trans(s204, s200)), introduced(assumption)).
% 5.60/4.46 tff(22843,plain,
% 5.60/4.46 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s200) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s200)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s200) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s200)))),
% 5.60/4.46 inference(rewrite,[status(thm)],[])).
% 5.60/4.46 tff(22844,plain,
% 5.60/4.46 (((~trans(s204, s200)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s200)) <=> (until2p29(s200) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s200)))),
% 5.60/4.46 inference(rewrite,[status(thm)],[])).
% 5.60/4.46 tff(22845,plain,
% 5.60/4.46 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s200)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s200))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s200) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s200))))),
% 5.60/4.46 inference(monotonicity,[status(thm)],[22844])).
% 5.60/4.46 tff(22846,plain,
% 5.60/4.46 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s200)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s200))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s200) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s200)))),
% 5.60/4.46 inference(transitivity,[status(thm)],[22845, 22843])).
% 5.60/4.46 tff(22847,plain,
% 5.60/4.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s200)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s200))),
% 5.60/4.46 inference(quant_inst,[status(thm)],[])).
% 5.60/4.46 tff(22848,plain,
% 5.60/4.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s200) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s200))),
% 5.60/4.46 inference(modus_ponens,[status(thm)],[22847, 22846])).
% 5.60/4.46 tff(22849,plain,
% 5.60/4.46 ($false),
% 5.60/4.46 inference(unit_resolution,[status(thm)],[22848, 20779, 22842, 21667, 20847, 20769])).
% 5.60/4.46 tff(22850,plain,(~trans(s204, s200)), inference(lemma,lemma(discharge,[]))).
% 5.60/4.46 tff(22851,assumption,(trans(s204, s52)), introduced(assumption)).
% 5.60/4.46 tff(22852,plain,
% 5.60/4.46 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s52) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s52)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s52) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s52)))),
% 5.60/4.46 inference(rewrite,[status(thm)],[])).
% 5.60/4.46 tff(22853,plain,
% 5.60/4.46 (((~trans(s204, s52)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s52)) <=> (until2p29(s52) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s52)))),
% 5.60/4.46 inference(rewrite,[status(thm)],[])).
% 5.60/4.46 tff(22854,plain,
% 5.60/4.46 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s52)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s52))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s52) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s52))))),
% 5.60/4.46 inference(monotonicity,[status(thm)],[22853])).
% 5.60/4.46 tff(22855,plain,
% 5.60/4.46 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s52)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s52))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s52) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s52)))),
% 5.60/4.46 inference(transitivity,[status(thm)],[22854, 22852])).
% 5.60/4.46 tff(22856,plain,
% 5.60/4.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s52)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s52))),
% 5.60/4.46 inference(quant_inst,[status(thm)],[])).
% 5.60/4.46 tff(22857,plain,
% 5.60/4.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s52) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s52))),
% 5.60/4.46 inference(modus_ponens,[status(thm)],[22856, 22855])).
% 5.60/4.46 tff(22858,plain,
% 5.60/4.46 ($false),
% 5.60/4.46 inference(unit_resolution,[status(thm)],[22857, 20779, 22851, 21667, 22355, 20769])).
% 5.60/4.46 tff(22859,plain,(~trans(s204, s52)), inference(lemma,lemma(discharge,[]))).
% 5.60/4.46 tff(22860,assumption,(trans(s204, s48)), introduced(assumption)).
% 5.60/4.46 tff(22861,plain,
% 5.60/4.46 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s48) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s48)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s48) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s48)))),
% 5.60/4.46 inference(rewrite,[status(thm)],[])).
% 5.60/4.46 tff(22862,plain,
% 5.60/4.46 (((~trans(s204, s48)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s48)) <=> (until2p29(s48) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s48)))),
% 5.60/4.46 inference(rewrite,[status(thm)],[])).
% 5.60/4.46 tff(22863,plain,
% 5.60/4.46 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s48)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s48))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s48) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s48))))),
% 5.60/4.46 inference(monotonicity,[status(thm)],[22862])).
% 5.60/4.46 tff(22864,plain,
% 5.60/4.46 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s48)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s48))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s48) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s48)))),
% 5.60/4.46 inference(transitivity,[status(thm)],[22863, 22861])).
% 5.60/4.46 tff(22865,plain,
% 5.60/4.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s48)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s48))),
% 5.60/4.46 inference(quant_inst,[status(thm)],[])).
% 5.60/4.46 tff(22866,plain,
% 5.60/4.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s48) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s48))),
% 5.60/4.46 inference(modus_ponens,[status(thm)],[22865, 22864])).
% 5.60/4.46 tff(22867,plain,
% 5.60/4.46 ($false),
% 5.60/4.46 inference(unit_resolution,[status(thm)],[22866, 20779, 22860, 21667, 22395, 20769])).
% 5.60/4.46 tff(22868,plain,(~trans(s204, s48)), inference(lemma,lemma(discharge,[]))).
% 5.60/4.46 tff(22869,assumption,(trans(s204, s44)), introduced(assumption)).
% 5.60/4.46 tff(22870,plain,
% 5.60/4.46 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s44) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s44)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s44) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s44)))),
% 5.60/4.46 inference(rewrite,[status(thm)],[])).
% 5.60/4.46 tff(22871,plain,
% 5.60/4.46 (((~trans(s204, s44)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s44)) <=> (until2p29(s44) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s44)))),
% 5.60/4.47 inference(rewrite,[status(thm)],[])).
% 5.60/4.47 tff(22872,plain,
% 5.60/4.47 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s44)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s44))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s44) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s44))))),
% 5.60/4.47 inference(monotonicity,[status(thm)],[22871])).
% 5.60/4.47 tff(22873,plain,
% 5.60/4.47 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s44)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s44))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s44) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s44)))),
% 5.60/4.47 inference(transitivity,[status(thm)],[22872, 22870])).
% 5.60/4.47 tff(22874,plain,
% 5.60/4.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s44)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s44))),
% 5.60/4.47 inference(quant_inst,[status(thm)],[])).
% 5.60/4.47 tff(22875,plain,
% 5.60/4.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s44) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s44))),
% 5.60/4.47 inference(modus_ponens,[status(thm)],[22874, 22873])).
% 5.60/4.47 tff(22876,plain,
% 5.60/4.47 ($false),
% 5.60/4.47 inference(unit_resolution,[status(thm)],[22875, 20779, 22869, 21667, 22435, 20769])).
% 5.60/4.47 tff(22877,plain,(~trans(s204, s44)), inference(lemma,lemma(discharge,[]))).
% 5.60/4.47 tff(22878,assumption,(trans(s204, s84)), introduced(assumption)).
% 5.60/4.47 tff(22879,plain,
% 5.60/4.47 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s84) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s84)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s84) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s84)))),
% 5.60/4.47 inference(rewrite,[status(thm)],[])).
% 5.60/4.47 tff(22880,plain,
% 5.60/4.47 (((~trans(s204, s84)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s84)) <=> (until2p29(s84) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s84)))),
% 5.60/4.47 inference(rewrite,[status(thm)],[])).
% 5.60/4.47 tff(22881,plain,
% 5.60/4.47 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s84)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s84))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s84) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s84))))),
% 5.60/4.47 inference(monotonicity,[status(thm)],[22880])).
% 5.60/4.47 tff(22882,plain,
% 5.60/4.47 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s84)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s84))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s84) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s84)))),
% 5.60/4.47 inference(transitivity,[status(thm)],[22881, 22879])).
% 5.60/4.47 tff(22883,plain,
% 5.60/4.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s84)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s84))),
% 5.60/4.47 inference(quant_inst,[status(thm)],[])).
% 5.60/4.47 tff(22884,plain,
% 5.60/4.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s84) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s84))),
% 5.60/4.47 inference(modus_ponens,[status(thm)],[22883, 22882])).
% 5.60/4.47 tff(22885,plain,
% 5.60/4.47 ($false),
% 5.60/4.47 inference(unit_resolution,[status(thm)],[22884, 20779, 22878, 21667, 22035, 20769])).
% 5.60/4.47 tff(22886,plain,(~trans(s204, s84)), inference(lemma,lemma(discharge,[]))).
% 5.60/4.47 tff(22887,assumption,(trans(s204, s123)), introduced(assumption)).
% 5.60/4.47 tff(22888,plain,
% 5.60/4.47 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s123) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s123)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s123) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s123)))),
% 5.60/4.47 inference(rewrite,[status(thm)],[])).
% 5.60/4.47 tff(22889,plain,
% 5.60/4.47 (((~trans(s204, s123)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s123)) <=> (until2p29(s123) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s123)))),
% 5.60/4.47 inference(rewrite,[status(thm)],[])).
% 5.60/4.47 tff(22890,plain,
% 5.60/4.47 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s123)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s123))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s123) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s123))))),
% 5.60/4.47 inference(monotonicity,[status(thm)],[22889])).
% 5.60/4.47 tff(22891,plain,
% 5.60/4.47 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s123)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s123))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s123) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s123)))),
% 5.60/4.47 inference(transitivity,[status(thm)],[22890, 22888])).
% 5.60/4.47 tff(22892,plain,
% 5.60/4.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s123)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s123))),
% 5.60/4.47 inference(quant_inst,[status(thm)],[])).
% 5.60/4.47 tff(22893,plain,
% 5.60/4.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s123) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s123))),
% 5.60/4.47 inference(modus_ponens,[status(thm)],[22892, 22891])).
% 5.60/4.47 tff(22894,plain,
% 5.60/4.47 ($false),
% 5.60/4.47 inference(unit_resolution,[status(thm)],[22893, 20779, 22887, 21667, 21617, 20769])).
% 5.60/4.47 tff(22895,plain,(~trans(s204, s123)), inference(lemma,lemma(discharge,[]))).
% 5.60/4.47 tff(22896,assumption,(trans(s204, s86)), introduced(assumption)).
% 5.60/4.47 tff(22897,plain,
% 5.60/4.47 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s86) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s86)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s86) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s86)))),
% 5.60/4.47 inference(rewrite,[status(thm)],[])).
% 5.60/4.47 tff(22898,plain,
% 5.60/4.47 (((~trans(s204, s86)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s86)) <=> (until2p29(s86) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s86)))),
% 5.60/4.47 inference(rewrite,[status(thm)],[])).
% 5.60/4.47 tff(22899,plain,
% 5.60/4.47 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s86)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s86))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s86) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s86))))),
% 5.60/4.47 inference(monotonicity,[status(thm)],[22898])).
% 5.60/4.47 tff(22900,plain,
% 5.60/4.47 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s86)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s86))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s86) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s86)))),
% 5.60/4.47 inference(transitivity,[status(thm)],[22899, 22897])).
% 5.60/4.47 tff(22901,plain,
% 5.60/4.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s86)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s86))),
% 5.60/4.47 inference(quant_inst,[status(thm)],[])).
% 5.60/4.47 tff(22902,plain,
% 5.60/4.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s86) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s86))),
% 5.60/4.47 inference(modus_ponens,[status(thm)],[22901, 22900])).
% 5.60/4.47 tff(22903,plain,
% 5.60/4.47 ($false),
% 5.60/4.47 inference(unit_resolution,[status(thm)],[22902, 20779, 22896, 21667, 22015, 20769])).
% 5.60/4.47 tff(22904,plain,(~trans(s204, s86)), inference(lemma,lemma(discharge,[]))).
% 5.60/4.47 tff(22905,assumption,(trans(s204, s73)), introduced(assumption)).
% 5.60/4.47 tff(22906,plain,
% 5.60/4.47 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s73) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s73)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s73) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s73)))),
% 5.60/4.47 inference(rewrite,[status(thm)],[])).
% 5.60/4.47 tff(22907,plain,
% 5.60/4.47 (((~trans(s204, s73)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s73)) <=> (until2p29(s73) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s73)))),
% 5.60/4.47 inference(rewrite,[status(thm)],[])).
% 5.60/4.47 tff(22908,plain,
% 5.60/4.47 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s73)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s73))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s73) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s73))))),
% 5.60/4.47 inference(monotonicity,[status(thm)],[22907])).
% 5.60/4.47 tff(22909,plain,
% 5.60/4.47 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s73)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s73))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s73) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s73)))),
% 5.60/4.47 inference(transitivity,[status(thm)],[22908, 22906])).
% 5.60/4.47 tff(22910,plain,
% 5.60/4.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s73)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s73))),
% 5.60/4.47 inference(quant_inst,[status(thm)],[])).
% 5.60/4.47 tff(22911,plain,
% 5.60/4.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s73) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s73))),
% 5.60/4.47 inference(modus_ponens,[status(thm)],[22910, 22909])).
% 5.60/4.47 tff(22912,plain,
% 5.60/4.47 ($false),
% 5.60/4.47 inference(unit_resolution,[status(thm)],[22911, 20779, 22905, 21667, 22145, 20769])).
% 5.60/4.47 tff(22913,plain,(~trans(s204, s73)), inference(lemma,lemma(discharge,[]))).
% 5.60/4.47 tff(22914,assumption,(trans(s204, s188)), introduced(assumption)).
% 5.60/4.47 tff(22915,plain,
% 5.60/4.47 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s188) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s188)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s188) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s188)))),
% 5.60/4.47 inference(rewrite,[status(thm)],[])).
% 5.60/4.47 tff(22916,plain,
% 5.60/4.47 (((~trans(s204, s188)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s188)) <=> (until2p29(s188) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s188)))),
% 5.60/4.47 inference(rewrite,[status(thm)],[])).
% 5.60/4.47 tff(22917,plain,
% 5.60/4.47 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s188)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s188))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s188) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s188))))),
% 5.60/4.47 inference(monotonicity,[status(thm)],[22916])).
% 5.60/4.47 tff(22918,plain,
% 5.60/4.47 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s188)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s188))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s188) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s188)))),
% 5.60/4.47 inference(transitivity,[status(thm)],[22917, 22915])).
% 5.60/4.47 tff(22919,plain,
% 5.60/4.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s188)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s188))),
% 5.60/4.47 inference(quant_inst,[status(thm)],[])).
% 5.60/4.47 tff(22920,plain,
% 5.60/4.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s188) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s188))),
% 5.60/4.47 inference(modus_ponens,[status(thm)],[22919, 22918])).
% 5.60/4.47 tff(22921,plain,
% 5.60/4.47 ($false),
% 5.60/4.47 inference(unit_resolution,[status(thm)],[22920, 20779, 22914, 21667, 20967, 20769])).
% 5.60/4.47 tff(22922,plain,(~trans(s204, s188)), inference(lemma,lemma(discharge,[]))).
% 5.60/4.47 tff(22923,assumption,(trans(s204, s80)), introduced(assumption)).
% 5.60/4.47 tff(22924,plain,
% 5.60/4.47 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s80) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s80)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s80) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s80)))),
% 5.60/4.47 inference(rewrite,[status(thm)],[])).
% 5.60/4.47 tff(22925,plain,
% 5.60/4.47 (((~trans(s204, s80)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s80)) <=> (until2p29(s80) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s80)))),
% 5.60/4.47 inference(rewrite,[status(thm)],[])).
% 5.60/4.47 tff(22926,plain,
% 5.60/4.47 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s80)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s80))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s80) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s80))))),
% 5.60/4.47 inference(monotonicity,[status(thm)],[22925])).
% 5.60/4.47 tff(22927,plain,
% 5.60/4.47 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s80)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s80))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s80) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s80)))),
% 5.60/4.47 inference(transitivity,[status(thm)],[22926, 22924])).
% 5.60/4.47 tff(22928,plain,
% 5.60/4.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s80)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s80))),
% 5.60/4.47 inference(quant_inst,[status(thm)],[])).
% 5.60/4.47 tff(22929,plain,
% 5.60/4.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s80) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s80))),
% 5.60/4.47 inference(modus_ponens,[status(thm)],[22928, 22927])).
% 5.60/4.47 tff(22930,plain,
% 5.60/4.47 ($false),
% 5.60/4.47 inference(unit_resolution,[status(thm)],[22929, 20779, 22923, 21667, 22075, 20769])).
% 5.60/4.47 tff(22931,plain,(~trans(s204, s80)), inference(lemma,lemma(discharge,[]))).
% 5.60/4.47 tff(22932,assumption,(trans(s204, s40)), introduced(assumption)).
% 5.60/4.47 tff(22933,plain,
% 5.60/4.47 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s40) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s40)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s40) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s40)))),
% 5.60/4.47 inference(rewrite,[status(thm)],[])).
% 5.60/4.47 tff(22934,plain,
% 5.60/4.47 (((~trans(s204, s40)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s40)) <=> (until2p29(s40) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s40)))),
% 5.60/4.47 inference(rewrite,[status(thm)],[])).
% 5.60/4.47 tff(22935,plain,
% 5.60/4.47 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s40)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s40))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s40) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s40))))),
% 5.60/4.47 inference(monotonicity,[status(thm)],[22934])).
% 5.60/4.47 tff(22936,plain,
% 5.60/4.47 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s40)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s40))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s40) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s40)))),
% 5.60/4.47 inference(transitivity,[status(thm)],[22935, 22933])).
% 5.60/4.47 tff(22937,plain,
% 5.60/4.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s40)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s40))),
% 5.60/4.47 inference(quant_inst,[status(thm)],[])).
% 5.60/4.47 tff(22938,plain,
% 5.60/4.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s40) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s40))),
% 5.63/4.47 inference(modus_ponens,[status(thm)],[22937, 22936])).
% 5.63/4.47 tff(22939,plain,
% 5.63/4.47 ($false),
% 5.63/4.47 inference(unit_resolution,[status(thm)],[22938, 20779, 22932, 21667, 22475, 20769])).
% 5.63/4.47 tff(22940,plain,(~trans(s204, s40)), inference(lemma,lemma(discharge,[]))).
% 5.63/4.47 tff(22941,assumption,(trans(s204, s114)), introduced(assumption)).
% 5.63/4.47 tff(22942,plain,
% 5.63/4.47 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s114) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s114)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s114) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s114)))),
% 5.63/4.47 inference(rewrite,[status(thm)],[])).
% 5.63/4.47 tff(22943,plain,
% 5.63/4.47 (((~trans(s204, s114)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s114)) <=> (until2p29(s114) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s114)))),
% 5.63/4.47 inference(rewrite,[status(thm)],[])).
% 5.63/4.47 tff(22944,plain,
% 5.63/4.47 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s114)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s114))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s114) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s114))))),
% 5.63/4.47 inference(monotonicity,[status(thm)],[22943])).
% 5.63/4.47 tff(22945,plain,
% 5.63/4.47 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s114)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s114))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s114) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s114)))),
% 5.63/4.47 inference(transitivity,[status(thm)],[22944, 22942])).
% 5.63/4.47 tff(22946,plain,
% 5.63/4.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s114)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s114))),
% 5.63/4.47 inference(quant_inst,[status(thm)],[])).
% 5.63/4.47 tff(22947,plain,
% 5.63/4.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s114) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s114))),
% 5.63/4.47 inference(modus_ponens,[status(thm)],[22946, 22945])).
% 5.63/4.47 tff(22948,plain,
% 5.63/4.47 ($false),
% 5.63/4.47 inference(unit_resolution,[status(thm)],[22947, 20779, 22941, 21667, 21726, 20769])).
% 5.63/4.47 tff(22949,plain,(~trans(s204, s114)), inference(lemma,lemma(discharge,[]))).
% 5.63/4.47 tff(22950,assumption,(trans(s204, s160)), introduced(assumption)).
% 5.63/4.47 tff(22951,plain,
% 5.63/4.47 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s160) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s160)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s160) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s160)))),
% 5.63/4.47 inference(rewrite,[status(thm)],[])).
% 5.63/4.47 tff(22952,plain,
% 5.63/4.47 (((~trans(s204, s160)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s160)) <=> (until2p29(s160) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s160)))),
% 5.63/4.47 inference(rewrite,[status(thm)],[])).
% 5.63/4.47 tff(22953,plain,
% 5.63/4.47 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s160)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s160))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s160) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s160))))),
% 5.63/4.47 inference(monotonicity,[status(thm)],[22952])).
% 5.63/4.47 tff(22954,plain,
% 5.63/4.47 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s160)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s160))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s160) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s160)))),
% 5.63/4.47 inference(transitivity,[status(thm)],[22953, 22951])).
% 5.63/4.47 tff(22955,plain,
% 5.63/4.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s160)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s160))),
% 5.63/4.47 inference(quant_inst,[status(thm)],[])).
% 5.63/4.47 tff(22956,plain,
% 5.63/4.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s160) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s160))),
% 5.63/4.47 inference(modus_ponens,[status(thm)],[22955, 22954])).
% 5.63/4.47 tff(22957,plain,
% 5.63/4.47 ($false),
% 5.63/4.47 inference(unit_resolution,[status(thm)],[22956, 20779, 22950, 21667, 21247, 20769])).
% 5.63/4.47 tff(22958,plain,(~trans(s204, s160)), inference(lemma,lemma(discharge,[]))).
% 5.63/4.47 tff(22959,assumption,(trans(s204, s192)), introduced(assumption)).
% 5.63/4.47 tff(22960,plain,
% 5.63/4.47 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s192) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s192)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s192) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s192)))),
% 5.63/4.47 inference(rewrite,[status(thm)],[])).
% 5.63/4.47 tff(22961,plain,
% 5.63/4.47 (((~trans(s204, s192)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s192)) <=> (until2p29(s192) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s192)))),
% 5.63/4.47 inference(rewrite,[status(thm)],[])).
% 5.63/4.47 tff(22962,plain,
% 5.63/4.47 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s192)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s192))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s192) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s192))))),
% 5.63/4.47 inference(monotonicity,[status(thm)],[22961])).
% 5.63/4.47 tff(22963,plain,
% 5.63/4.47 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s192)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s192))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s192) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s192)))),
% 5.63/4.47 inference(transitivity,[status(thm)],[22962, 22960])).
% 5.63/4.47 tff(22964,plain,
% 5.63/4.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s192)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s192))),
% 5.63/4.47 inference(quant_inst,[status(thm)],[])).
% 5.63/4.47 tff(22965,plain,
% 5.63/4.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s192) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s192))),
% 5.63/4.47 inference(modus_ponens,[status(thm)],[22964, 22963])).
% 5.63/4.47 tff(22966,plain,
% 5.63/4.47 ($false),
% 5.63/4.47 inference(unit_resolution,[status(thm)],[22965, 20779, 22959, 21667, 20927, 20769])).
% 5.63/4.47 tff(22967,plain,(~trans(s204, s192)), inference(lemma,lemma(discharge,[]))).
% 5.63/4.47 tff(22968,assumption,(trans(s204, s81)), introduced(assumption)).
% 5.63/4.47 tff(22969,plain,
% 5.63/4.47 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s81) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s81)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s81) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s81)))),
% 5.63/4.47 inference(rewrite,[status(thm)],[])).
% 5.63/4.47 tff(22970,plain,
% 5.63/4.47 (((~trans(s204, s81)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s81)) <=> (until2p29(s81) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s81)))),
% 5.63/4.47 inference(rewrite,[status(thm)],[])).
% 5.63/4.47 tff(22971,plain,
% 5.63/4.47 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s81)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s81))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s81) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s81))))),
% 5.63/4.47 inference(monotonicity,[status(thm)],[22970])).
% 5.63/4.47 tff(22972,plain,
% 5.63/4.47 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s81)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s81))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s81) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s81)))),
% 5.63/4.47 inference(transitivity,[status(thm)],[22971, 22969])).
% 5.63/4.47 tff(22973,plain,
% 5.63/4.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s81)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s81))),
% 5.63/4.47 inference(quant_inst,[status(thm)],[])).
% 5.63/4.47 tff(22974,plain,
% 5.63/4.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s81) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s81))),
% 5.63/4.47 inference(modus_ponens,[status(thm)],[22973, 22972])).
% 5.63/4.47 tff(22975,plain,
% 5.63/4.47 ($false),
% 5.63/4.47 inference(unit_resolution,[status(thm)],[22974, 20779, 22968, 21667, 22065, 20769])).
% 5.63/4.47 tff(22976,plain,(~trans(s204, s81)), inference(lemma,lemma(discharge,[]))).
% 5.63/4.47 tff(22977,assumption,(trans(s204, s121)), introduced(assumption)).
% 5.63/4.47 tff(22978,plain,
% 5.63/4.47 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s121) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s121)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s121) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s121)))),
% 5.63/4.47 inference(rewrite,[status(thm)],[])).
% 5.63/4.47 tff(22979,plain,
% 5.63/4.47 (((~trans(s204, s121)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s121)) <=> (until2p29(s121) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s121)))),
% 5.63/4.47 inference(rewrite,[status(thm)],[])).
% 5.63/4.47 tff(22980,plain,
% 5.63/4.47 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s121)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s121))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s121) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s121))))),
% 5.63/4.47 inference(monotonicity,[status(thm)],[22979])).
% 5.63/4.47 tff(22981,plain,
% 5.63/4.47 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s121)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s121))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s121) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s121)))),
% 5.63/4.47 inference(transitivity,[status(thm)],[22980, 22978])).
% 5.63/4.47 tff(22982,plain,
% 5.63/4.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s121)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s121))),
% 5.63/4.47 inference(quant_inst,[status(thm)],[])).
% 5.63/4.47 tff(22983,plain,
% 5.63/4.47 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s121) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s121))),
% 5.63/4.47 inference(modus_ponens,[status(thm)],[22982, 22981])).
% 5.63/4.47 tff(22984,plain,
% 5.63/4.47 ($false),
% 5.63/4.47 inference(unit_resolution,[status(thm)],[22983, 20779, 22977, 21667, 21637, 20769])).
% 5.63/4.47 tff(22985,plain,(~trans(s204, s121)), inference(lemma,lemma(discharge,[]))).
% 5.63/4.47 tff(22986,assumption,(trans(s204, s126)), introduced(assumption)).
% 5.63/4.47 tff(22987,plain,
% 5.63/4.47 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s126) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s126)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s126) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s126)))),
% 5.63/4.47 inference(rewrite,[status(thm)],[])).
% 5.63/4.47 tff(22988,plain,
% 5.63/4.47 (((~trans(s204, s126)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s126)) <=> (until2p29(s126) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s126)))),
% 5.63/4.47 inference(rewrite,[status(thm)],[])).
% 5.63/4.47 tff(22989,plain,
% 5.63/4.47 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s126)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s126))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s126) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s126))))),
% 5.63/4.48 inference(monotonicity,[status(thm)],[22988])).
% 5.63/4.48 tff(22990,plain,
% 5.63/4.48 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s126)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s126))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s126) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s126)))),
% 5.63/4.48 inference(transitivity,[status(thm)],[22989, 22987])).
% 5.63/4.48 tff(22991,plain,
% 5.63/4.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s126)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s126))),
% 5.63/4.48 inference(quant_inst,[status(thm)],[])).
% 5.63/4.48 tff(22992,plain,
% 5.63/4.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s126) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s126))),
% 5.63/4.48 inference(modus_ponens,[status(thm)],[22991, 22990])).
% 5.63/4.48 tff(22993,plain,
% 5.63/4.48 ($false),
% 5.63/4.48 inference(unit_resolution,[status(thm)],[22992, 20779, 22986, 21667, 21587, 20769])).
% 5.63/4.48 tff(22994,plain,(~trans(s204, s126)), inference(lemma,lemma(discharge,[]))).
% 5.63/4.48 tff(22995,assumption,(trans(s204, s145)), introduced(assumption)).
% 5.63/4.48 tff(22996,plain,
% 5.63/4.48 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s145) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s145)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s145) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s145)))),
% 5.63/4.48 inference(rewrite,[status(thm)],[])).
% 5.63/4.48 tff(22997,plain,
% 5.63/4.48 (((~trans(s204, s145)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s145)) <=> (until2p29(s145) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s145)))),
% 5.63/4.48 inference(rewrite,[status(thm)],[])).
% 5.63/4.48 tff(22998,plain,
% 5.63/4.48 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s145)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s145))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s145) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s145))))),
% 5.63/4.48 inference(monotonicity,[status(thm)],[22997])).
% 5.63/4.48 tff(22999,plain,
% 5.63/4.48 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s145)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s145))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s145) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s145)))),
% 5.63/4.48 inference(transitivity,[status(thm)],[22998, 22996])).
% 5.63/4.48 tff(23000,plain,
% 5.63/4.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s145)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s145))),
% 5.63/4.48 inference(quant_inst,[status(thm)],[])).
% 5.63/4.48 tff(23001,plain,
% 5.63/4.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s145) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s145))),
% 5.63/4.48 inference(modus_ponens,[status(thm)],[23000, 22999])).
% 5.63/4.48 tff(23002,plain,
% 5.63/4.48 ($false),
% 5.63/4.48 inference(unit_resolution,[status(thm)],[23001, 20779, 22995, 21667, 21397, 20769])).
% 5.63/4.48 tff(23003,plain,(~trans(s204, s145)), inference(lemma,lemma(discharge,[]))).
% 5.63/4.48 tff(23004,assumption,(trans(s204, s109)), introduced(assumption)).
% 5.63/4.48 tff(23005,plain,
% 5.63/4.48 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s109) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s109)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s109) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s109)))),
% 5.63/4.48 inference(rewrite,[status(thm)],[])).
% 5.63/4.48 tff(23006,plain,
% 5.63/4.48 (((~trans(s204, s109)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s109)) <=> (until2p29(s109) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s109)))),
% 5.63/4.48 inference(rewrite,[status(thm)],[])).
% 5.63/4.48 tff(23007,plain,
% 5.63/4.48 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s109)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s109))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s109) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s109))))),
% 5.63/4.48 inference(monotonicity,[status(thm)],[23006])).
% 5.63/4.48 tff(23008,plain,
% 5.63/4.48 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s109)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s109))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s109) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s109)))),
% 5.63/4.48 inference(transitivity,[status(thm)],[23007, 23005])).
% 5.63/4.48 tff(23009,plain,
% 5.63/4.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s109)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s109))),
% 5.63/4.48 inference(quant_inst,[status(thm)],[])).
% 5.63/4.48 tff(23010,plain,
% 5.63/4.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s109) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s109))),
% 5.63/4.48 inference(modus_ponens,[status(thm)],[23009, 23008])).
% 5.63/4.48 tff(23011,plain,
% 5.63/4.48 ($false),
% 5.63/4.48 inference(unit_resolution,[status(thm)],[23010, 20779, 23004, 21667, 21776, 20769])).
% 5.63/4.48 tff(23012,plain,(~trans(s204, s109)), inference(lemma,lemma(discharge,[]))).
% 5.63/4.48 tff(23013,assumption,(trans(s204, s46)), introduced(assumption)).
% 5.63/4.48 tff(23014,plain,
% 5.63/4.48 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s46) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s46)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s46) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s46)))),
% 5.63/4.48 inference(rewrite,[status(thm)],[])).
% 5.63/4.48 tff(23015,plain,
% 5.63/4.48 (((~trans(s204, s46)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s46)) <=> (until2p29(s46) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s46)))),
% 5.63/4.48 inference(rewrite,[status(thm)],[])).
% 5.63/4.48 tff(23016,plain,
% 5.63/4.48 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s46)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s46))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s46) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s46))))),
% 5.63/4.48 inference(monotonicity,[status(thm)],[23015])).
% 5.63/4.48 tff(23017,plain,
% 5.63/4.48 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s46)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s46))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s46) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s46)))),
% 5.63/4.48 inference(transitivity,[status(thm)],[23016, 23014])).
% 5.63/4.48 tff(23018,plain,
% 5.63/4.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s46)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s46))),
% 5.63/4.48 inference(quant_inst,[status(thm)],[])).
% 5.63/4.48 tff(23019,plain,
% 5.63/4.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s46) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s46))),
% 5.63/4.48 inference(modus_ponens,[status(thm)],[23018, 23017])).
% 5.63/4.48 tff(23020,plain,
% 5.63/4.48 ($false),
% 5.63/4.48 inference(unit_resolution,[status(thm)],[23019, 20779, 23013, 21667, 22415, 20769])).
% 5.63/4.48 tff(23021,plain,(~trans(s204, s46)), inference(lemma,lemma(discharge,[]))).
% 5.63/4.48 tff(23022,assumption,(trans(s204, s22)), introduced(assumption)).
% 5.63/4.48 tff(23023,plain,
% 5.63/4.48 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s22) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s22)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s22) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s22)))),
% 5.63/4.48 inference(rewrite,[status(thm)],[])).
% 5.63/4.48 tff(23024,plain,
% 5.63/4.48 (((~trans(s204, s22)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s22)) <=> (until2p29(s22) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s22)))),
% 5.63/4.48 inference(rewrite,[status(thm)],[])).
% 5.63/4.48 tff(23025,plain,
% 5.63/4.48 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s22)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s22))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s22) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s22))))),
% 5.63/4.48 inference(monotonicity,[status(thm)],[23024])).
% 5.63/4.48 tff(23026,plain,
% 5.63/4.48 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s22)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s22))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s22) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s22)))),
% 5.63/4.48 inference(transitivity,[status(thm)],[23025, 23023])).
% 5.63/4.48 tff(23027,plain,
% 5.63/4.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s22)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s22))),
% 5.63/4.48 inference(quant_inst,[status(thm)],[])).
% 5.63/4.48 tff(23028,plain,
% 5.63/4.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s22) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s22))),
% 5.63/4.48 inference(modus_ponens,[status(thm)],[23027, 23026])).
% 5.63/4.48 tff(23029,plain,
% 5.63/4.48 ($false),
% 5.63/4.48 inference(unit_resolution,[status(thm)],[23028, 20779, 23022, 21667, 22655, 20769])).
% 5.63/4.48 tff(23030,plain,(~trans(s204, s22)), inference(lemma,lemma(discharge,[]))).
% 5.63/4.48 tff(23031,assumption,(trans(s204, s89)), introduced(assumption)).
% 5.63/4.48 tff(23032,plain,
% 5.63/4.48 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s89) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s89)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s89) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s89)))),
% 5.63/4.48 inference(rewrite,[status(thm)],[])).
% 5.63/4.48 tff(23033,plain,
% 5.63/4.48 (((~trans(s204, s89)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s89)) <=> (until2p29(s89) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s89)))),
% 5.63/4.48 inference(rewrite,[status(thm)],[])).
% 5.63/4.48 tff(23034,plain,
% 5.63/4.48 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s89)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s89))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s89) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s89))))),
% 5.63/4.48 inference(monotonicity,[status(thm)],[23033])).
% 5.63/4.48 tff(23035,plain,
% 5.63/4.48 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s89)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s89))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s89) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s89)))),
% 5.63/4.48 inference(transitivity,[status(thm)],[23034, 23032])).
% 5.63/4.48 tff(23036,plain,
% 5.63/4.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s89)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s89))),
% 5.63/4.48 inference(quant_inst,[status(thm)],[])).
% 5.63/4.48 tff(23037,plain,
% 5.63/4.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s89) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s89))),
% 5.63/4.48 inference(modus_ponens,[status(thm)],[23036, 23035])).
% 5.63/4.48 tff(23038,plain,
% 5.63/4.48 ($false),
% 5.63/4.48 inference(unit_resolution,[status(thm)],[23037, 20779, 23031, 21667, 21985, 20769])).
% 5.63/4.48 tff(23039,plain,(~trans(s204, s89)), inference(lemma,lemma(discharge,[]))).
% 5.63/4.48 tff(23040,assumption,(trans(s204, s173)), introduced(assumption)).
% 5.63/4.48 tff(23041,plain,
% 5.63/4.48 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s173) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s173)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s173) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s173)))),
% 5.63/4.48 inference(rewrite,[status(thm)],[])).
% 5.63/4.48 tff(23042,plain,
% 5.63/4.48 (((~trans(s204, s173)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s173)) <=> (until2p29(s173) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s173)))),
% 5.63/4.48 inference(rewrite,[status(thm)],[])).
% 5.63/4.48 tff(23043,plain,
% 5.63/4.48 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s173)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s173))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s173) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s173))))),
% 5.63/4.48 inference(monotonicity,[status(thm)],[23042])).
% 5.63/4.48 tff(23044,plain,
% 5.63/4.48 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s173)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s173))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s173) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s173)))),
% 5.63/4.48 inference(transitivity,[status(thm)],[23043, 23041])).
% 5.63/4.48 tff(23045,plain,
% 5.63/4.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s173)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s173))),
% 5.63/4.48 inference(quant_inst,[status(thm)],[])).
% 5.63/4.48 tff(23046,plain,
% 5.63/4.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s173) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s173))),
% 5.63/4.48 inference(modus_ponens,[status(thm)],[23045, 23044])).
% 5.63/4.48 tff(23047,plain,
% 5.63/4.48 ($false),
% 5.63/4.48 inference(unit_resolution,[status(thm)],[23046, 20779, 23040, 21667, 21117, 20769])).
% 5.63/4.48 tff(23048,plain,(~trans(s204, s173)), inference(lemma,lemma(discharge,[]))).
% 5.63/4.48 tff(23049,assumption,(trans(s204, s116)), introduced(assumption)).
% 5.63/4.48 tff(23050,plain,
% 5.63/4.48 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s116) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s116)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s116) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s116)))),
% 5.63/4.48 inference(rewrite,[status(thm)],[])).
% 5.63/4.48 tff(23051,plain,
% 5.63/4.48 (((~trans(s204, s116)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s116)) <=> (until2p29(s116) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s116)))),
% 5.63/4.48 inference(rewrite,[status(thm)],[])).
% 5.63/4.48 tff(23052,plain,
% 5.63/4.48 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s116)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s116))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s116) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s116))))),
% 5.63/4.48 inference(monotonicity,[status(thm)],[23051])).
% 5.63/4.48 tff(23053,plain,
% 5.63/4.48 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s116)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s116))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s116) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s116)))),
% 5.63/4.48 inference(transitivity,[status(thm)],[23052, 23050])).
% 5.63/4.48 tff(23054,plain,
% 5.63/4.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s116)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s116))),
% 5.63/4.48 inference(quant_inst,[status(thm)],[])).
% 5.63/4.48 tff(23055,plain,
% 5.63/4.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s116) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s116))),
% 5.63/4.48 inference(modus_ponens,[status(thm)],[23054, 23053])).
% 5.63/4.48 tff(23056,plain,
% 5.63/4.48 ($false),
% 5.63/4.48 inference(unit_resolution,[status(thm)],[23055, 20779, 23049, 21667, 21706, 20769])).
% 5.63/4.48 tff(23057,plain,(~trans(s204, s116)), inference(lemma,lemma(discharge,[]))).
% 5.63/4.48 tff(23058,assumption,(trans(s204, s32)), introduced(assumption)).
% 5.63/4.48 tff(23059,plain,
% 5.63/4.48 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s32) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s32)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s32) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s32)))),
% 5.63/4.48 inference(rewrite,[status(thm)],[])).
% 5.63/4.48 tff(23060,plain,
% 5.63/4.48 (((~trans(s204, s32)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s32)) <=> (until2p29(s32) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s32)))),
% 5.63/4.48 inference(rewrite,[status(thm)],[])).
% 5.63/4.48 tff(23061,plain,
% 5.63/4.48 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s32)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s32))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s32) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s32))))),
% 5.63/4.48 inference(monotonicity,[status(thm)],[23060])).
% 5.63/4.48 tff(23062,plain,
% 5.63/4.48 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s32)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s32))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s32) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s32)))),
% 5.63/4.48 inference(transitivity,[status(thm)],[23061, 23059])).
% 5.63/4.48 tff(23063,plain,
% 5.63/4.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s32)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s32))),
% 5.63/4.48 inference(quant_inst,[status(thm)],[])).
% 5.63/4.48 tff(23064,plain,
% 5.63/4.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s32) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s32))),
% 5.63/4.48 inference(modus_ponens,[status(thm)],[23063, 23062])).
% 5.63/4.48 tff(23065,plain,
% 5.63/4.48 ($false),
% 5.63/4.48 inference(unit_resolution,[status(thm)],[23064, 20779, 23058, 21667, 22555, 20769])).
% 5.63/4.48 tff(23066,plain,(~trans(s204, s32)), inference(lemma,lemma(discharge,[]))).
% 5.63/4.48 tff(23067,assumption,(trans(s204, s103)), introduced(assumption)).
% 5.63/4.48 tff(23068,plain,
% 5.63/4.48 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s103) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s103)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s103) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s103)))),
% 5.63/4.48 inference(rewrite,[status(thm)],[])).
% 5.63/4.48 tff(23069,plain,
% 5.63/4.48 (((~trans(s204, s103)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s103)) <=> (until2p29(s103) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s103)))),
% 5.63/4.48 inference(rewrite,[status(thm)],[])).
% 5.63/4.48 tff(23070,plain,
% 5.63/4.48 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s103)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s103))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s103) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s103))))),
% 5.63/4.48 inference(monotonicity,[status(thm)],[23069])).
% 5.63/4.48 tff(23071,plain,
% 5.63/4.48 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s103)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s103))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s103) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s103)))),
% 5.63/4.48 inference(transitivity,[status(thm)],[23070, 23068])).
% 5.63/4.48 tff(23072,plain,
% 5.63/4.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s103)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s103))),
% 5.63/4.48 inference(quant_inst,[status(thm)],[])).
% 5.63/4.48 tff(23073,plain,
% 5.63/4.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s103) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s103))),
% 5.63/4.48 inference(modus_ponens,[status(thm)],[23072, 23071])).
% 5.63/4.48 tff(23074,plain,
% 5.63/4.48 ($false),
% 5.63/4.48 inference(unit_resolution,[status(thm)],[23073, 20779, 23067, 21667, 21845, 20769])).
% 5.63/4.48 tff(23075,plain,(~trans(s204, s103)), inference(lemma,lemma(discharge,[]))).
% 5.63/4.48 tff(23076,assumption,(trans(s204, s177)), introduced(assumption)).
% 5.63/4.48 tff(23077,plain,
% 5.63/4.48 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s177) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s177)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s177) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s177)))),
% 5.63/4.48 inference(rewrite,[status(thm)],[])).
% 5.63/4.48 tff(23078,plain,
% 5.63/4.48 (((~trans(s204, s177)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s177)) <=> (until2p29(s177) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s177)))),
% 5.63/4.48 inference(rewrite,[status(thm)],[])).
% 5.63/4.48 tff(23079,plain,
% 5.63/4.48 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s177)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s177))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s177) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s177))))),
% 5.63/4.48 inference(monotonicity,[status(thm)],[23078])).
% 5.63/4.48 tff(23080,plain,
% 5.63/4.48 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s177)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s177))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s177) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s177)))),
% 5.63/4.48 inference(transitivity,[status(thm)],[23079, 23077])).
% 5.63/4.48 tff(23081,plain,
% 5.63/4.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s177)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s177))),
% 5.63/4.48 inference(quant_inst,[status(thm)],[])).
% 5.63/4.48 tff(23082,plain,
% 5.63/4.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s177) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s177))),
% 5.63/4.48 inference(modus_ponens,[status(thm)],[23081, 23080])).
% 5.63/4.48 tff(23083,plain,
% 5.63/4.48 ($false),
% 5.63/4.48 inference(unit_resolution,[status(thm)],[23082, 20779, 23076, 21667, 21077, 20769])).
% 5.63/4.48 tff(23084,plain,(~trans(s204, s177)), inference(lemma,lemma(discharge,[]))).
% 5.63/4.48 tff(23085,assumption,(trans(s204, s92)), introduced(assumption)).
% 5.63/4.48 tff(23086,plain,
% 5.63/4.48 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s92) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s92)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s92) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s92)))),
% 5.63/4.48 inference(rewrite,[status(thm)],[])).
% 5.63/4.48 tff(23087,plain,
% 5.63/4.48 (((~trans(s204, s92)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s92)) <=> (until2p29(s92) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s92)))),
% 5.63/4.48 inference(rewrite,[status(thm)],[])).
% 5.63/4.48 tff(23088,plain,
% 5.63/4.48 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s92)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s92))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s92) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s92))))),
% 5.63/4.48 inference(monotonicity,[status(thm)],[23087])).
% 5.63/4.48 tff(23089,plain,
% 5.63/4.48 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s92)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s92))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s92) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s92)))),
% 5.63/4.48 inference(transitivity,[status(thm)],[23088, 23086])).
% 5.63/4.48 tff(23090,plain,
% 5.63/4.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s92)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s92))),
% 5.63/4.48 inference(quant_inst,[status(thm)],[])).
% 5.63/4.48 tff(23091,plain,
% 5.63/4.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s92) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s92))),
% 5.63/4.48 inference(modus_ponens,[status(thm)],[23090, 23089])).
% 5.63/4.48 tff(23092,plain,
% 5.63/4.48 ($false),
% 5.63/4.48 inference(unit_resolution,[status(thm)],[23091, 20779, 23085, 21667, 21955, 20769])).
% 5.63/4.48 tff(23093,plain,(~trans(s204, s92)), inference(lemma,lemma(discharge,[]))).
% 5.63/4.48 tff(23094,assumption,(trans(s204, s112)), introduced(assumption)).
% 5.63/4.48 tff(23095,plain,
% 5.63/4.48 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s112) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s112)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s112) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s112)))),
% 5.63/4.48 inference(rewrite,[status(thm)],[])).
% 5.63/4.48 tff(23096,plain,
% 5.63/4.48 (((~trans(s204, s112)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s112)) <=> (until2p29(s112) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s112)))),
% 5.63/4.48 inference(rewrite,[status(thm)],[])).
% 5.63/4.48 tff(23097,plain,
% 5.63/4.48 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s112)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s112))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s112) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s112))))),
% 5.63/4.48 inference(monotonicity,[status(thm)],[23096])).
% 5.63/4.48 tff(23098,plain,
% 5.63/4.48 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s112)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s112))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s112) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s112)))),
% 5.63/4.48 inference(transitivity,[status(thm)],[23097, 23095])).
% 5.63/4.48 tff(23099,plain,
% 5.63/4.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s112)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s112))),
% 5.63/4.48 inference(quant_inst,[status(thm)],[])).
% 5.63/4.48 tff(23100,plain,
% 5.63/4.48 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s112) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s112))),
% 5.63/4.48 inference(modus_ponens,[status(thm)],[23099, 23098])).
% 5.63/4.48 tff(23101,plain,
% 5.63/4.48 ($false),
% 5.63/4.48 inference(unit_resolution,[status(thm)],[23100, 20779, 23094, 21667, 21746, 20769])).
% 5.63/4.48 tff(23102,plain,(~trans(s204, s112)), inference(lemma,lemma(discharge,[]))).
% 5.63/4.48 tff(23103,assumption,(trans(s204, s153)), introduced(assumption)).
% 5.63/4.48 tff(23104,plain,
% 5.63/4.48 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s153) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s153)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s153) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s153)))),
% 5.63/4.48 inference(rewrite,[status(thm)],[])).
% 5.63/4.48 tff(23105,plain,
% 5.63/4.48 (((~trans(s204, s153)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s153)) <=> (until2p29(s153) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s153)))),
% 5.63/4.48 inference(rewrite,[status(thm)],[])).
% 5.63/4.48 tff(23106,plain,
% 5.63/4.48 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s153)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s153))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s153) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s153))))),
% 5.63/4.48 inference(monotonicity,[status(thm)],[23105])).
% 5.63/4.48 tff(23107,plain,
% 5.63/4.48 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s153)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s153))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s153) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s153)))),
% 5.63/4.48 inference(transitivity,[status(thm)],[23106, 23104])).
% 5.63/4.49 tff(23108,plain,
% 5.63/4.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s153)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s153))),
% 5.63/4.49 inference(quant_inst,[status(thm)],[])).
% 5.63/4.49 tff(23109,plain,
% 5.63/4.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s153) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s153))),
% 5.63/4.49 inference(modus_ponens,[status(thm)],[23108, 23107])).
% 5.63/4.49 tff(23110,plain,
% 5.63/4.49 ($false),
% 5.63/4.49 inference(unit_resolution,[status(thm)],[23109, 20779, 23103, 21667, 21317, 20769])).
% 5.63/4.49 tff(23111,plain,(~trans(s204, s153)), inference(lemma,lemma(discharge,[]))).
% 5.63/4.49 tff(23112,assumption,(trans(s204, s146)), introduced(assumption)).
% 5.63/4.49 tff(23113,plain,
% 5.63/4.49 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s146) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s146)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s146) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s146)))),
% 5.63/4.49 inference(rewrite,[status(thm)],[])).
% 5.63/4.49 tff(23114,plain,
% 5.63/4.49 (((~trans(s204, s146)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s146)) <=> (until2p29(s146) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s146)))),
% 5.63/4.49 inference(rewrite,[status(thm)],[])).
% 5.63/4.49 tff(23115,plain,
% 5.63/4.49 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s146)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s146))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s146) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s146))))),
% 5.63/4.49 inference(monotonicity,[status(thm)],[23114])).
% 5.63/4.49 tff(23116,plain,
% 5.63/4.49 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s146)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s146))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s146) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s146)))),
% 5.63/4.49 inference(transitivity,[status(thm)],[23115, 23113])).
% 5.63/4.49 tff(23117,plain,
% 5.63/4.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s146)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s146))),
% 5.63/4.49 inference(quant_inst,[status(thm)],[])).
% 5.63/4.49 tff(23118,plain,
% 5.63/4.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s146) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s146))),
% 5.63/4.49 inference(modus_ponens,[status(thm)],[23117, 23116])).
% 5.63/4.49 tff(23119,plain,
% 5.63/4.49 ($false),
% 5.63/4.49 inference(unit_resolution,[status(thm)],[23118, 20779, 23112, 21667, 21387, 20769])).
% 5.63/4.49 tff(23120,plain,(~trans(s204, s146)), inference(lemma,lemma(discharge,[]))).
% 5.63/4.49 tff(23121,assumption,(trans(s204, s11)), introduced(assumption)).
% 5.63/4.49 tff(23122,plain,
% 5.63/4.49 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s11) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s11)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s11) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s11)))),
% 5.63/4.49 inference(rewrite,[status(thm)],[])).
% 5.63/4.49 tff(23123,plain,
% 5.63/4.49 (((~trans(s204, s11)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s11)) <=> (until2p29(s11) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s11)))),
% 5.63/4.49 inference(rewrite,[status(thm)],[])).
% 5.63/4.49 tff(23124,plain,
% 5.63/4.49 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s11)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s11))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s11) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s11))))),
% 5.63/4.49 inference(monotonicity,[status(thm)],[23123])).
% 5.63/4.49 tff(23125,plain,
% 5.63/4.49 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s11)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s11))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s11) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s11)))),
% 5.63/4.49 inference(transitivity,[status(thm)],[23124, 23122])).
% 5.63/4.49 tff(23126,plain,
% 5.63/4.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s11)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s11))),
% 5.63/4.49 inference(quant_inst,[status(thm)],[])).
% 5.63/4.49 tff(23127,plain,
% 5.63/4.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s11) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s11))),
% 5.63/4.49 inference(modus_ponens,[status(thm)],[23126, 23125])).
% 5.63/4.49 tff(23128,plain,
% 5.63/4.49 ($false),
% 5.63/4.49 inference(unit_resolution,[status(thm)],[23127, 20779, 23121, 21667, 22765, 20769])).
% 5.63/4.49 tff(23129,plain,(~trans(s204, s11)), inference(lemma,lemma(discharge,[]))).
% 5.63/4.49 tff(23130,assumption,(trans(s204, s42)), introduced(assumption)).
% 5.63/4.49 tff(23131,plain,
% 5.63/4.49 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s42) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s42)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s42) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s42)))),
% 5.63/4.49 inference(rewrite,[status(thm)],[])).
% 5.63/4.49 tff(23132,plain,
% 5.63/4.49 (((~trans(s204, s42)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s42)) <=> (until2p29(s42) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s42)))),
% 5.63/4.49 inference(rewrite,[status(thm)],[])).
% 5.63/4.49 tff(23133,plain,
% 5.63/4.49 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s42)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s42))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s42) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s42))))),
% 5.63/4.49 inference(monotonicity,[status(thm)],[23132])).
% 5.63/4.49 tff(23134,plain,
% 5.63/4.49 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s42)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s42))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s42) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s42)))),
% 5.63/4.49 inference(transitivity,[status(thm)],[23133, 23131])).
% 5.63/4.49 tff(23135,plain,
% 5.63/4.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s42)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s42))),
% 5.63/4.49 inference(quant_inst,[status(thm)],[])).
% 5.63/4.49 tff(23136,plain,
% 5.63/4.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s42) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s42))),
% 5.63/4.49 inference(modus_ponens,[status(thm)],[23135, 23134])).
% 5.63/4.49 tff(23137,plain,
% 5.63/4.49 ($false),
% 5.63/4.49 inference(unit_resolution,[status(thm)],[23136, 20779, 23130, 21667, 22455, 20769])).
% 5.63/4.49 tff(23138,plain,(~trans(s204, s42)), inference(lemma,lemma(discharge,[]))).
% 5.63/4.49 tff(23139,assumption,(trans(s204, s149)), introduced(assumption)).
% 5.63/4.49 tff(23140,plain,
% 5.63/4.49 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s149) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s149)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s149) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s149)))),
% 5.63/4.49 inference(rewrite,[status(thm)],[])).
% 5.63/4.49 tff(23141,plain,
% 5.63/4.49 (((~trans(s204, s149)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s149)) <=> (until2p29(s149) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s149)))),
% 5.63/4.49 inference(rewrite,[status(thm)],[])).
% 5.63/4.49 tff(23142,plain,
% 5.63/4.49 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s149)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s149))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s149) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s149))))),
% 5.63/4.49 inference(monotonicity,[status(thm)],[23141])).
% 5.63/4.49 tff(23143,plain,
% 5.63/4.49 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s149)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s149))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s149) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s149)))),
% 5.63/4.49 inference(transitivity,[status(thm)],[23142, 23140])).
% 5.63/4.49 tff(23144,plain,
% 5.63/4.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s149)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s149))),
% 5.63/4.49 inference(quant_inst,[status(thm)],[])).
% 5.63/4.49 tff(23145,plain,
% 5.63/4.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s149) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s149))),
% 5.63/4.49 inference(modus_ponens,[status(thm)],[23144, 23143])).
% 5.63/4.49 tff(23146,plain,
% 5.63/4.49 ($false),
% 5.63/4.49 inference(unit_resolution,[status(thm)],[23145, 20779, 23139, 21667, 21357, 20769])).
% 5.63/4.49 tff(23147,plain,(~trans(s204, s149)), inference(lemma,lemma(discharge,[]))).
% 5.63/4.49 tff(23148,assumption,(trans(s204, s129)), introduced(assumption)).
% 5.63/4.49 tff(23149,plain,
% 5.63/4.49 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s129) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s129)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s129) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s129)))),
% 5.63/4.49 inference(rewrite,[status(thm)],[])).
% 5.63/4.49 tff(23150,plain,
% 5.63/4.49 (((~trans(s204, s129)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s129)) <=> (until2p29(s129) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s129)))),
% 5.63/4.49 inference(rewrite,[status(thm)],[])).
% 5.63/4.49 tff(23151,plain,
% 5.63/4.49 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s129)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s129))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s129) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s129))))),
% 5.63/4.49 inference(monotonicity,[status(thm)],[23150])).
% 5.63/4.49 tff(23152,plain,
% 5.63/4.49 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s129)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s129))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s129) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s129)))),
% 5.63/4.49 inference(transitivity,[status(thm)],[23151, 23149])).
% 5.63/4.49 tff(23153,plain,
% 5.63/4.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s129)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s129))),
% 5.63/4.49 inference(quant_inst,[status(thm)],[])).
% 5.63/4.49 tff(23154,plain,
% 5.63/4.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s129) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s129))),
% 5.63/4.49 inference(modus_ponens,[status(thm)],[23153, 23152])).
% 5.63/4.49 tff(23155,plain,
% 5.63/4.49 ($false),
% 5.63/4.49 inference(unit_resolution,[status(thm)],[23154, 20779, 23148, 21667, 21557, 20769])).
% 5.63/4.49 tff(23156,plain,(~trans(s204, s129)), inference(lemma,lemma(discharge,[]))).
% 5.63/4.49 tff(23157,assumption,(trans(s204, s193)), introduced(assumption)).
% 5.63/4.49 tff(23158,plain,
% 5.63/4.49 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s193) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s193)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s193) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s193)))),
% 5.63/4.49 inference(rewrite,[status(thm)],[])).
% 5.63/4.49 tff(23159,plain,
% 5.63/4.49 (((~trans(s204, s193)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s193)) <=> (until2p29(s193) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s193)))),
% 5.63/4.49 inference(rewrite,[status(thm)],[])).
% 5.63/4.49 tff(23160,plain,
% 5.63/4.49 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s193)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s193))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s193) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s193))))),
% 5.63/4.49 inference(monotonicity,[status(thm)],[23159])).
% 5.63/4.49 tff(23161,plain,
% 5.63/4.49 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s193)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s193))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s193) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s193)))),
% 5.63/4.49 inference(transitivity,[status(thm)],[23160, 23158])).
% 5.63/4.49 tff(23162,plain,
% 5.63/4.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s193)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s193))),
% 5.63/4.49 inference(quant_inst,[status(thm)],[])).
% 5.63/4.49 tff(23163,plain,
% 5.63/4.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s193) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s193))),
% 5.63/4.49 inference(modus_ponens,[status(thm)],[23162, 23161])).
% 5.63/4.49 tff(23164,plain,
% 5.63/4.49 ($false),
% 5.63/4.49 inference(unit_resolution,[status(thm)],[23163, 20779, 23157, 21667, 20917, 20769])).
% 5.63/4.49 tff(23165,plain,(~trans(s204, s193)), inference(lemma,lemma(discharge,[]))).
% 5.63/4.49 tff(23166,assumption,(trans(s204, s95)), introduced(assumption)).
% 5.63/4.49 tff(23167,plain,
% 5.63/4.49 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s95) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s95)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s95) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s95)))),
% 5.63/4.49 inference(rewrite,[status(thm)],[])).
% 5.63/4.49 tff(23168,plain,
% 5.63/4.49 (((~trans(s204, s95)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s95)) <=> (until2p29(s95) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s95)))),
% 5.63/4.49 inference(rewrite,[status(thm)],[])).
% 5.63/4.49 tff(23169,plain,
% 5.63/4.49 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s95)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s95))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s95) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s95))))),
% 5.63/4.49 inference(monotonicity,[status(thm)],[23168])).
% 5.63/4.49 tff(23170,plain,
% 5.63/4.49 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s95)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s95))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s95) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s95)))),
% 5.63/4.49 inference(transitivity,[status(thm)],[23169, 23167])).
% 5.63/4.49 tff(23171,plain,
% 5.63/4.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s95)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s95))),
% 5.63/4.49 inference(quant_inst,[status(thm)],[])).
% 5.63/4.49 tff(23172,plain,
% 5.63/4.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s95) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s95))),
% 5.63/4.49 inference(modus_ponens,[status(thm)],[23171, 23170])).
% 5.63/4.49 tff(23173,plain,
% 5.63/4.49 ($false),
% 5.63/4.49 inference(unit_resolution,[status(thm)],[23172, 20779, 23166, 21667, 21925, 20769])).
% 5.63/4.49 tff(23174,plain,(~trans(s204, s95)), inference(lemma,lemma(discharge,[]))).
% 5.63/4.49 tff(23175,assumption,(trans(s204, s202)), introduced(assumption)).
% 5.63/4.49 tff(23176,plain,
% 5.63/4.49 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s202) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s202)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s202) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s202)))),
% 5.63/4.49 inference(rewrite,[status(thm)],[])).
% 5.63/4.49 tff(23177,plain,
% 5.63/4.49 (((~trans(s204, s202)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s202)) <=> (until2p29(s202) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s202)))),
% 5.63/4.49 inference(rewrite,[status(thm)],[])).
% 5.63/4.49 tff(23178,plain,
% 5.63/4.49 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s202)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s202))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s202) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s202))))),
% 5.63/4.49 inference(monotonicity,[status(thm)],[23177])).
% 5.63/4.49 tff(23179,plain,
% 5.63/4.49 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s202)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s202))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s202) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s202)))),
% 5.63/4.49 inference(transitivity,[status(thm)],[23178, 23176])).
% 5.63/4.49 tff(23180,plain,
% 5.63/4.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s202)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s202))),
% 5.63/4.49 inference(quant_inst,[status(thm)],[])).
% 5.63/4.49 tff(23181,plain,
% 5.63/4.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s202) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s202))),
% 5.63/4.49 inference(modus_ponens,[status(thm)],[23180, 23179])).
% 5.63/4.49 tff(23182,plain,
% 5.63/4.49 ($false),
% 5.63/4.49 inference(unit_resolution,[status(thm)],[23181, 20779, 23175, 21667, 20827, 20769])).
% 5.63/4.49 tff(23183,plain,(~trans(s204, s202)), inference(lemma,lemma(discharge,[]))).
% 5.63/4.49 tff(23184,assumption,(trans(s204, s98)), introduced(assumption)).
% 5.63/4.49 tff(23185,plain,
% 5.63/4.49 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s98) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s98)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s98) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s98)))),
% 5.63/4.49 inference(rewrite,[status(thm)],[])).
% 5.63/4.49 tff(23186,plain,
% 5.63/4.49 (((~trans(s204, s98)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s98)) <=> (until2p29(s98) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s98)))),
% 5.63/4.49 inference(rewrite,[status(thm)],[])).
% 5.63/4.49 tff(23187,plain,
% 5.63/4.49 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s98)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s98))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s98) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s98))))),
% 5.63/4.49 inference(monotonicity,[status(thm)],[23186])).
% 5.63/4.49 tff(23188,plain,
% 5.63/4.49 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s98)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s98))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s98) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s98)))),
% 5.63/4.49 inference(transitivity,[status(thm)],[23187, 23185])).
% 5.63/4.49 tff(23189,plain,
% 5.63/4.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s98)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s98))),
% 5.63/4.49 inference(quant_inst,[status(thm)],[])).
% 5.63/4.49 tff(23190,plain,
% 5.63/4.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s98) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s98))),
% 5.63/4.49 inference(modus_ponens,[status(thm)],[23189, 23188])).
% 5.63/4.49 tff(23191,plain,
% 5.63/4.49 ($false),
% 5.63/4.49 inference(unit_resolution,[status(thm)],[23190, 20779, 23184, 21667, 21895, 20769])).
% 5.63/4.49 tff(23192,plain,(~trans(s204, s98)), inference(lemma,lemma(discharge,[]))).
% 5.63/4.49 tff(23193,assumption,(trans(s204, s16)), introduced(assumption)).
% 5.63/4.49 tff(23194,plain,
% 5.63/4.49 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s16) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s16)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s16) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s16)))),
% 5.63/4.49 inference(rewrite,[status(thm)],[])).
% 5.63/4.49 tff(23195,plain,
% 5.63/4.49 (((~trans(s204, s16)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s16)) <=> (until2p29(s16) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s16)))),
% 5.63/4.49 inference(rewrite,[status(thm)],[])).
% 5.63/4.49 tff(23196,plain,
% 5.63/4.49 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s16)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s16))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s16) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s16))))),
% 5.63/4.49 inference(monotonicity,[status(thm)],[23195])).
% 5.63/4.49 tff(23197,plain,
% 5.63/4.49 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s16)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s16))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s16) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s16)))),
% 5.63/4.49 inference(transitivity,[status(thm)],[23196, 23194])).
% 5.63/4.49 tff(23198,plain,
% 5.63/4.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s16)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s16))),
% 5.63/4.49 inference(quant_inst,[status(thm)],[])).
% 5.63/4.49 tff(23199,plain,
% 5.63/4.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s16) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s16))),
% 5.63/4.49 inference(modus_ponens,[status(thm)],[23198, 23197])).
% 5.63/4.49 tff(23200,plain,
% 5.63/4.49 ($false),
% 5.63/4.49 inference(unit_resolution,[status(thm)],[23199, 20779, 23193, 21667, 22715, 20769])).
% 5.63/4.49 tff(23201,plain,(~trans(s204, s16)), inference(lemma,lemma(discharge,[]))).
% 5.63/4.49 tff(23202,assumption,(trans(s204, s10)), introduced(assumption)).
% 5.63/4.49 tff(23203,plain,
% 5.63/4.49 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s10) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s10)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s10) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s10)))),
% 5.63/4.49 inference(rewrite,[status(thm)],[])).
% 5.63/4.49 tff(23204,plain,
% 5.63/4.49 (((~trans(s204, s10)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s10)) <=> (until2p29(s10) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s10)))),
% 5.63/4.49 inference(rewrite,[status(thm)],[])).
% 5.63/4.49 tff(23205,plain,
% 5.63/4.49 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s10)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s10))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s10) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s10))))),
% 5.63/4.49 inference(monotonicity,[status(thm)],[23204])).
% 5.63/4.49 tff(23206,plain,
% 5.63/4.49 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s10)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s10))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s10) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s10)))),
% 5.63/4.49 inference(transitivity,[status(thm)],[23205, 23203])).
% 5.63/4.49 tff(23207,plain,
% 5.63/4.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s10)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s10))),
% 5.63/4.49 inference(quant_inst,[status(thm)],[])).
% 5.63/4.49 tff(23208,plain,
% 5.63/4.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s10) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s10))),
% 5.63/4.49 inference(modus_ponens,[status(thm)],[23207, 23206])).
% 5.63/4.49 tff(23209,plain,
% 5.63/4.49 ($false),
% 5.63/4.49 inference(unit_resolution,[status(thm)],[23208, 20779, 23202, 21667, 22775, 20769])).
% 5.63/4.49 tff(23210,plain,(~trans(s204, s10)), inference(lemma,lemma(discharge,[]))).
% 5.63/4.49 tff(23211,assumption,(trans(s204, s91)), introduced(assumption)).
% 5.63/4.49 tff(23212,plain,
% 5.63/4.49 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s91) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s91)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s91) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s91)))),
% 5.63/4.49 inference(rewrite,[status(thm)],[])).
% 5.63/4.49 tff(23213,plain,
% 5.63/4.49 (((~trans(s204, s91)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s91)) <=> (until2p29(s91) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s91)))),
% 5.63/4.49 inference(rewrite,[status(thm)],[])).
% 5.63/4.49 tff(23214,plain,
% 5.63/4.49 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s91)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s91))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s91) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s91))))),
% 5.63/4.49 inference(monotonicity,[status(thm)],[23213])).
% 5.63/4.49 tff(23215,plain,
% 5.63/4.49 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s91)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s91))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s91) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s91)))),
% 5.63/4.49 inference(transitivity,[status(thm)],[23214, 23212])).
% 5.63/4.49 tff(23216,plain,
% 5.63/4.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s91)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s91))),
% 5.63/4.49 inference(quant_inst,[status(thm)],[])).
% 5.63/4.49 tff(23217,plain,
% 5.63/4.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s91) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s91))),
% 5.63/4.49 inference(modus_ponens,[status(thm)],[23216, 23215])).
% 5.63/4.49 tff(23218,plain,
% 5.63/4.49 ($false),
% 5.63/4.49 inference(unit_resolution,[status(thm)],[23217, 20779, 23211, 21667, 21965, 20769])).
% 5.63/4.49 tff(23219,plain,(~trans(s204, s91)), inference(lemma,lemma(discharge,[]))).
% 5.63/4.49 tff(23220,assumption,(trans(s204, s54)), introduced(assumption)).
% 5.63/4.49 tff(23221,plain,
% 5.63/4.49 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s54) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s54)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s54) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s54)))),
% 5.63/4.49 inference(rewrite,[status(thm)],[])).
% 5.63/4.49 tff(23222,plain,
% 5.63/4.49 (((~trans(s204, s54)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s54)) <=> (until2p29(s54) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s54)))),
% 5.63/4.49 inference(rewrite,[status(thm)],[])).
% 5.63/4.49 tff(23223,plain,
% 5.63/4.49 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s54)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s54))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s54) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s54))))),
% 5.63/4.49 inference(monotonicity,[status(thm)],[23222])).
% 5.63/4.49 tff(23224,plain,
% 5.63/4.49 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s54)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s54))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s54) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s54)))),
% 5.63/4.49 inference(transitivity,[status(thm)],[23223, 23221])).
% 5.63/4.49 tff(23225,plain,
% 5.63/4.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s54)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s54))),
% 5.63/4.49 inference(quant_inst,[status(thm)],[])).
% 5.63/4.49 tff(23226,plain,
% 5.63/4.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s54) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s54))),
% 5.63/4.49 inference(modus_ponens,[status(thm)],[23225, 23224])).
% 5.63/4.49 tff(23227,plain,
% 5.63/4.50 ($false),
% 5.63/4.50 inference(unit_resolution,[status(thm)],[23226, 20779, 23220, 21667, 22335, 20769])).
% 5.63/4.50 tff(23228,plain,(~trans(s204, s54)), inference(lemma,lemma(discharge,[]))).
% 5.63/4.50 tff(23229,assumption,(trans(s204, s170)), introduced(assumption)).
% 5.63/4.50 tff(23230,plain,
% 5.63/4.50 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s170) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s170)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s170) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s170)))),
% 5.63/4.50 inference(rewrite,[status(thm)],[])).
% 5.63/4.50 tff(23231,plain,
% 5.63/4.50 (((~trans(s204, s170)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s170)) <=> (until2p29(s170) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s170)))),
% 5.63/4.50 inference(rewrite,[status(thm)],[])).
% 5.63/4.50 tff(23232,plain,
% 5.63/4.50 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s170)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s170))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s170) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s170))))),
% 5.63/4.50 inference(monotonicity,[status(thm)],[23231])).
% 5.63/4.50 tff(23233,plain,
% 5.63/4.50 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s170)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s170))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s170) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s170)))),
% 5.63/4.50 inference(transitivity,[status(thm)],[23232, 23230])).
% 5.63/4.50 tff(23234,plain,
% 5.63/4.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s170)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s170))),
% 5.63/4.50 inference(quant_inst,[status(thm)],[])).
% 5.63/4.50 tff(23235,plain,
% 5.63/4.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s170) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s170))),
% 5.63/4.50 inference(modus_ponens,[status(thm)],[23234, 23233])).
% 5.63/4.50 tff(23236,plain,
% 5.63/4.50 ($false),
% 5.63/4.50 inference(unit_resolution,[status(thm)],[23235, 20779, 23229, 21667, 21147, 20769])).
% 5.63/4.50 tff(23237,plain,(~trans(s204, s170)), inference(lemma,lemma(discharge,[]))).
% 5.63/4.50 tff(23238,assumption,(trans(s204, s141)), introduced(assumption)).
% 5.63/4.50 tff(23239,plain,
% 5.63/4.50 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s141) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s141)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s141) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s141)))),
% 5.63/4.50 inference(rewrite,[status(thm)],[])).
% 5.63/4.50 tff(23240,plain,
% 5.63/4.50 (((~trans(s204, s141)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s141)) <=> (until2p29(s141) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s141)))),
% 5.63/4.50 inference(rewrite,[status(thm)],[])).
% 5.63/4.50 tff(23241,plain,
% 5.63/4.50 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s141)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s141))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s141) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s141))))),
% 5.63/4.50 inference(monotonicity,[status(thm)],[23240])).
% 5.63/4.50 tff(23242,plain,
% 5.63/4.50 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s141)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s141))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s141) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s141)))),
% 5.63/4.50 inference(transitivity,[status(thm)],[23241, 23239])).
% 5.63/4.50 tff(23243,plain,
% 5.63/4.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s141)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s141))),
% 5.63/4.50 inference(quant_inst,[status(thm)],[])).
% 5.63/4.50 tff(23244,plain,
% 5.63/4.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s141) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s141))),
% 5.63/4.50 inference(modus_ponens,[status(thm)],[23243, 23242])).
% 5.63/4.50 tff(23245,plain,
% 5.63/4.50 ($false),
% 5.63/4.50 inference(unit_resolution,[status(thm)],[23244, 20779, 23238, 21667, 21437, 20769])).
% 5.63/4.50 tff(23246,plain,(~trans(s204, s141)), inference(lemma,lemma(discharge,[]))).
% 5.63/4.50 tff(23247,assumption,(trans(s204, s97)), introduced(assumption)).
% 5.63/4.50 tff(23248,plain,
% 5.63/4.50 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s97) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s97)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s97) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s97)))),
% 5.63/4.50 inference(rewrite,[status(thm)],[])).
% 5.63/4.50 tff(23249,plain,
% 5.63/4.50 (((~trans(s204, s97)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s97)) <=> (until2p29(s97) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s97)))),
% 5.63/4.50 inference(rewrite,[status(thm)],[])).
% 5.63/4.50 tff(23250,plain,
% 5.63/4.50 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s97)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s97))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s97) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s97))))),
% 5.63/4.50 inference(monotonicity,[status(thm)],[23249])).
% 5.63/4.50 tff(23251,plain,
% 5.63/4.50 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s97)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s97))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s97) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s97)))),
% 5.63/4.50 inference(transitivity,[status(thm)],[23250, 23248])).
% 5.63/4.50 tff(23252,plain,
% 5.63/4.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s97)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s97))),
% 5.63/4.50 inference(quant_inst,[status(thm)],[])).
% 5.63/4.50 tff(23253,plain,
% 5.63/4.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s97) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s97))),
% 5.63/4.50 inference(modus_ponens,[status(thm)],[23252, 23251])).
% 5.63/4.50 tff(23254,plain,
% 5.63/4.50 ($false),
% 5.63/4.50 inference(unit_resolution,[status(thm)],[23253, 20779, 23247, 21667, 21905, 20769])).
% 5.63/4.50 tff(23255,plain,(~trans(s204, s97)), inference(lemma,lemma(discharge,[]))).
% 5.63/4.50 tff(23256,assumption,(trans(s204, s156)), introduced(assumption)).
% 5.63/4.50 tff(23257,plain,
% 5.63/4.50 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s156) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s156)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s156) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s156)))),
% 5.63/4.50 inference(rewrite,[status(thm)],[])).
% 5.63/4.50 tff(23258,plain,
% 5.63/4.50 (((~trans(s204, s156)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s156)) <=> (until2p29(s156) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s156)))),
% 5.63/4.50 inference(rewrite,[status(thm)],[])).
% 5.63/4.50 tff(23259,plain,
% 5.63/4.50 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s156)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s156))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s156) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s156))))),
% 5.63/4.50 inference(monotonicity,[status(thm)],[23258])).
% 5.63/4.50 tff(23260,plain,
% 5.63/4.50 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s156)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s156))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s156) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s156)))),
% 5.63/4.50 inference(transitivity,[status(thm)],[23259, 23257])).
% 5.63/4.50 tff(23261,plain,
% 5.63/4.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s156)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s156))),
% 5.63/4.50 inference(quant_inst,[status(thm)],[])).
% 5.63/4.50 tff(23262,plain,
% 5.63/4.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s156) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s156))),
% 5.63/4.50 inference(modus_ponens,[status(thm)],[23261, 23260])).
% 5.63/4.50 tff(23263,plain,
% 5.63/4.50 ($false),
% 5.63/4.50 inference(unit_resolution,[status(thm)],[23262, 20779, 23256, 21667, 21287, 20769])).
% 5.63/4.50 tff(23264,plain,(~trans(s204, s156)), inference(lemma,lemma(discharge,[]))).
% 5.63/4.50 tff(23265,assumption,(trans(s204, s133)), introduced(assumption)).
% 5.63/4.50 tff(23266,plain,
% 5.63/4.50 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s133) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s133)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s133) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s133)))),
% 5.63/4.50 inference(rewrite,[status(thm)],[])).
% 5.63/4.50 tff(23267,plain,
% 5.63/4.50 (((~trans(s204, s133)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s133)) <=> (until2p29(s133) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s133)))),
% 5.63/4.50 inference(rewrite,[status(thm)],[])).
% 5.63/4.50 tff(23268,plain,
% 5.63/4.50 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s133)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s133))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s133) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s133))))),
% 5.63/4.50 inference(monotonicity,[status(thm)],[23267])).
% 5.63/4.50 tff(23269,plain,
% 5.63/4.50 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s133)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s133))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s133) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s133)))),
% 5.63/4.50 inference(transitivity,[status(thm)],[23268, 23266])).
% 5.63/4.50 tff(23270,plain,
% 5.63/4.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s133)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s133))),
% 5.63/4.50 inference(quant_inst,[status(thm)],[])).
% 5.63/4.50 tff(23271,plain,
% 5.63/4.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s133) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s133))),
% 5.63/4.50 inference(modus_ponens,[status(thm)],[23270, 23269])).
% 5.63/4.50 tff(23272,plain,
% 5.63/4.50 ($false),
% 5.63/4.50 inference(unit_resolution,[status(thm)],[23271, 20779, 23265, 21667, 21517, 20769])).
% 5.63/4.50 tff(23273,plain,(~trans(s204, s133)), inference(lemma,lemma(discharge,[]))).
% 5.63/4.50 tff(23274,assumption,(trans(s204, s8)), introduced(assumption)).
% 5.63/4.50 tff(23275,plain,
% 5.63/4.50 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s8) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s8)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s8) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s8)))),
% 5.63/4.50 inference(rewrite,[status(thm)],[])).
% 5.63/4.50 tff(23276,plain,
% 5.63/4.50 (((~trans(s204, s8)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s8)) <=> (until2p29(s8) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s8)))),
% 5.63/4.50 inference(rewrite,[status(thm)],[])).
% 5.63/4.50 tff(23277,plain,
% 5.63/4.50 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s8)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s8))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s8) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s8))))),
% 5.63/4.50 inference(monotonicity,[status(thm)],[23276])).
% 5.63/4.50 tff(23278,plain,
% 5.63/4.50 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s8)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s8))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s8) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s8)))),
% 5.63/4.50 inference(transitivity,[status(thm)],[23277, 23275])).
% 5.63/4.50 tff(23279,plain,
% 5.63/4.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s8)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s8))),
% 5.63/4.50 inference(quant_inst,[status(thm)],[])).
% 5.63/4.50 tff(23280,plain,
% 5.63/4.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s8) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s8))),
% 5.63/4.50 inference(modus_ponens,[status(thm)],[23279, 23278])).
% 5.63/4.50 tff(23281,plain,
% 5.63/4.50 ($false),
% 5.63/4.50 inference(unit_resolution,[status(thm)],[23280, 20779, 23274, 21667, 22813, 20769])).
% 5.63/4.50 tff(23282,plain,(~trans(s204, s8)), inference(lemma,lemma(discharge,[]))).
% 5.63/4.50 tff(23283,assumption,(trans(s204, s101)), introduced(assumption)).
% 5.63/4.50 tff(23284,plain,
% 5.63/4.50 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s101) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s101)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s101) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s101)))),
% 5.63/4.50 inference(rewrite,[status(thm)],[])).
% 5.63/4.50 tff(23285,plain,
% 5.63/4.50 (((~trans(s204, s101)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s101)) <=> (until2p29(s101) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s101)))),
% 5.63/4.50 inference(rewrite,[status(thm)],[])).
% 5.63/4.50 tff(23286,plain,
% 5.63/4.50 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s101)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s101))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s101) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s101))))),
% 5.63/4.50 inference(monotonicity,[status(thm)],[23285])).
% 5.63/4.50 tff(23287,plain,
% 5.63/4.50 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s101)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s101))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s101) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s101)))),
% 5.63/4.50 inference(transitivity,[status(thm)],[23286, 23284])).
% 5.63/4.50 tff(23288,plain,
% 5.63/4.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s101)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s101))),
% 5.63/4.50 inference(quant_inst,[status(thm)],[])).
% 5.63/4.50 tff(23289,plain,
% 5.63/4.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s101) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s101))),
% 5.63/4.50 inference(modus_ponens,[status(thm)],[23288, 23287])).
% 5.63/4.50 tff(23290,plain,
% 5.63/4.50 ($false),
% 5.63/4.50 inference(unit_resolution,[status(thm)],[23289, 20779, 23283, 21667, 21865, 20769])).
% 5.63/4.50 tff(23291,plain,(~trans(s204, s101)), inference(lemma,lemma(discharge,[]))).
% 5.63/4.50 tff(23292,assumption,(trans(s204, s106)), introduced(assumption)).
% 5.63/4.50 tff(23293,plain,
% 5.63/4.50 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s106) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s106)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s106) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s106)))),
% 5.63/4.50 inference(rewrite,[status(thm)],[])).
% 5.63/4.50 tff(23294,plain,
% 5.63/4.50 (((~trans(s204, s106)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s106)) <=> (until2p29(s106) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s106)))),
% 5.63/4.50 inference(rewrite,[status(thm)],[])).
% 5.63/4.50 tff(23295,plain,
% 5.63/4.50 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s106)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s106))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s106) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s106))))),
% 5.63/4.50 inference(monotonicity,[status(thm)],[23294])).
% 5.63/4.50 tff(23296,plain,
% 5.63/4.50 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s106)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s106))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s106) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s106)))),
% 5.63/4.50 inference(transitivity,[status(thm)],[23295, 23293])).
% 5.63/4.50 tff(23297,plain,
% 5.63/4.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s106)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s106))),
% 5.63/4.50 inference(quant_inst,[status(thm)],[])).
% 5.63/4.50 tff(23298,plain,
% 5.63/4.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s106) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s106))),
% 5.63/4.50 inference(modus_ponens,[status(thm)],[23297, 23296])).
% 5.63/4.50 tff(23299,plain,
% 5.63/4.50 ($false),
% 5.63/4.50 inference(unit_resolution,[status(thm)],[23298, 20779, 23292, 21667, 21806, 20769])).
% 5.63/4.50 tff(23300,plain,(~trans(s204, s106)), inference(lemma,lemma(discharge,[]))).
% 5.63/4.50 tff(23301,assumption,(trans(s204, s62)), introduced(assumption)).
% 5.63/4.50 tff(23302,plain,
% 5.63/4.50 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s62) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s62)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s62) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s62)))),
% 5.63/4.50 inference(rewrite,[status(thm)],[])).
% 5.63/4.50 tff(23303,plain,
% 5.63/4.50 (((~trans(s204, s62)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s62)) <=> (until2p29(s62) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s62)))),
% 5.63/4.50 inference(rewrite,[status(thm)],[])).
% 5.63/4.50 tff(23304,plain,
% 5.63/4.50 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s62)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s62))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s62) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s62))))),
% 5.63/4.50 inference(monotonicity,[status(thm)],[23303])).
% 5.63/4.50 tff(23305,plain,
% 5.63/4.50 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s62)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s62))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s62) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s62)))),
% 5.63/4.50 inference(transitivity,[status(thm)],[23304, 23302])).
% 5.63/4.50 tff(23306,plain,
% 5.63/4.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s62)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s62))),
% 5.63/4.50 inference(quant_inst,[status(thm)],[])).
% 5.63/4.50 tff(23307,plain,
% 5.63/4.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s62) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s62))),
% 5.63/4.50 inference(modus_ponens,[status(thm)],[23306, 23305])).
% 5.63/4.50 tff(23308,plain,
% 5.63/4.50 ($false),
% 5.63/4.50 inference(unit_resolution,[status(thm)],[23307, 20779, 23301, 21667, 22255, 20769])).
% 5.63/4.50 tff(23309,plain,(~trans(s204, s62)), inference(lemma,lemma(discharge,[]))).
% 5.63/4.50 tff(23310,assumption,(trans(s204, s185)), introduced(assumption)).
% 5.63/4.50 tff(23311,plain,
% 5.63/4.50 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s185) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s185)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s185) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s185)))),
% 5.63/4.50 inference(rewrite,[status(thm)],[])).
% 5.63/4.50 tff(23312,plain,
% 5.63/4.50 (((~trans(s204, s185)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s185)) <=> (until2p29(s185) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s185)))),
% 5.63/4.50 inference(rewrite,[status(thm)],[])).
% 5.63/4.50 tff(23313,plain,
% 5.63/4.50 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s185)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s185))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s185) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s185))))),
% 5.63/4.50 inference(monotonicity,[status(thm)],[23312])).
% 5.63/4.50 tff(23314,plain,
% 5.63/4.50 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s185)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s185))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s185) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s185)))),
% 5.63/4.50 inference(transitivity,[status(thm)],[23313, 23311])).
% 5.63/4.50 tff(23315,plain,
% 5.63/4.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s185)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s185))),
% 5.63/4.50 inference(quant_inst,[status(thm)],[])).
% 5.63/4.50 tff(23316,plain,
% 5.63/4.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s185) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s185))),
% 5.63/4.50 inference(modus_ponens,[status(thm)],[23315, 23314])).
% 5.63/4.50 tff(23317,plain,
% 5.63/4.50 ($false),
% 5.63/4.50 inference(unit_resolution,[status(thm)],[23316, 20779, 23310, 21667, 20997, 20769])).
% 5.63/4.50 tff(23318,plain,(~trans(s204, s185)), inference(lemma,lemma(discharge,[]))).
% 5.63/4.50 tff(23319,plain,
% 5.63/4.50 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s6, s7)) | until2p29(s7) | (~xuntil2p30(s6)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s6, s7)) | until2p29(s7) | (~xuntil2p30(s6)))),
% 5.63/4.50 inference(rewrite,[status(thm)],[])).
% 5.63/4.50 tff(23320,plain,
% 5.63/4.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s6, s7)) | until2p29(s7) | (~xuntil2p30(s6)))),
% 5.63/4.50 inference(quant_inst,[status(thm)],[])).
% 5.63/4.50 tff(23321,plain,
% 5.63/4.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s6, s7)) | until2p29(s7) | (~xuntil2p30(s6))),
% 5.63/4.50 inference(modus_ponens,[status(thm)],[23320, 23319])).
% 5.63/4.50 tff(23322,plain,
% 5.63/4.50 (until2p29(s7) | (~xuntil2p30(s6))),
% 5.63/4.50 inference(unit_resolution,[status(thm)],[23321, 958, 20808])).
% 5.63/4.50 tff(23323,plain,
% 5.63/4.50 (~xuntil2p30(s6)),
% 5.63/4.50 inference(unit_resolution,[status(thm)],[23322, 22823])).
% 5.63/4.50 tff(23324,plain,
% 5.63/4.50 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s6) | xuntil2p30(s6) | (~until2p29(s6)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s6) | xuntil2p30(s6) | (~until2p29(s6)))),
% 5.63/4.50 inference(rewrite,[status(thm)],[])).
% 5.63/4.50 tff(23325,plain,
% 5.63/4.50 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s6) | xuntil2p30(s6) | (~until2p29(s6)))),
% 5.63/4.50 inference(quant_inst,[status(thm)],[])).
% 5.63/4.50 tff(23326,plain,
% 5.63/4.50 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s6) | xuntil2p30(s6) | (~until2p29(s6))),
% 5.63/4.50 inference(modus_ponens,[status(thm)],[23325, 23324])).
% 5.63/4.50 tff(23327,plain,
% 5.63/4.50 (xuntil2p30(s6) | (~until2p29(s6))),
% 5.63/4.50 inference(unit_resolution,[status(thm)],[23326, 20793, 17941])).
% 5.63/4.50 tff(23328,plain,
% 5.63/4.50 (~until2p29(s6)),
% 5.63/4.50 inference(unit_resolution,[status(thm)],[23327, 23323])).
% 5.63/4.50 tff(23329,plain,
% 5.63/4.50 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s5, s6)) | until2p29(s6) | (~xuntil2p30(s5)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s5, s6)) | until2p29(s6) | (~xuntil2p30(s5)))),
% 5.63/4.50 inference(rewrite,[status(thm)],[])).
% 5.63/4.50 tff(23330,plain,
% 5.63/4.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s5, s6)) | until2p29(s6) | (~xuntil2p30(s5)))),
% 5.63/4.50 inference(quant_inst,[status(thm)],[])).
% 5.63/4.50 tff(23331,plain,
% 5.63/4.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s5, s6)) | until2p29(s6) | (~xuntil2p30(s5))),
% 5.63/4.50 inference(modus_ponens,[status(thm)],[23330, 23329])).
% 5.63/4.50 tff(23332,plain,
% 5.63/4.50 (until2p29(s6) | (~xuntil2p30(s5))),
% 5.63/4.50 inference(unit_resolution,[status(thm)],[23331, 874, 20808])).
% 5.63/4.50 tff(23333,plain,
% 5.63/4.50 (~xuntil2p30(s5)),
% 5.63/4.50 inference(unit_resolution,[status(thm)],[23332, 23328])).
% 5.63/4.50 tff(23334,plain,
% 5.63/4.50 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s5) | xuntil2p30(s5) | (~until2p29(s5)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s5) | xuntil2p30(s5) | (~until2p29(s5)))),
% 5.63/4.50 inference(rewrite,[status(thm)],[])).
% 5.63/4.50 tff(23335,plain,
% 5.63/4.50 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s5) | xuntil2p30(s5) | (~until2p29(s5)))),
% 5.63/4.50 inference(quant_inst,[status(thm)],[])).
% 5.63/4.50 tff(23336,plain,
% 5.63/4.50 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s5) | xuntil2p30(s5) | (~until2p29(s5))),
% 5.63/4.50 inference(modus_ponens,[status(thm)],[23335, 23334])).
% 5.63/4.50 tff(23337,plain,
% 5.63/4.50 (xuntil2p30(s5) | (~until2p29(s5))),
% 5.63/4.50 inference(unit_resolution,[status(thm)],[23336, 20793, 17945])).
% 5.63/4.50 tff(23338,plain,
% 5.63/4.50 (~until2p29(s5)),
% 5.63/4.50 inference(unit_resolution,[status(thm)],[23337, 23333])).
% 5.63/4.50 tff(23339,plain,
% 5.63/4.50 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s4, s5)) | until2p29(s5) | (~xuntil2p30(s4)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s4, s5)) | until2p29(s5) | (~xuntil2p30(s4)))),
% 5.63/4.50 inference(rewrite,[status(thm)],[])).
% 5.63/4.50 tff(23340,plain,
% 5.63/4.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s4, s5)) | until2p29(s5) | (~xuntil2p30(s4)))),
% 5.63/4.50 inference(quant_inst,[status(thm)],[])).
% 5.63/4.50 tff(23341,plain,
% 5.63/4.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s4, s5)) | until2p29(s5) | (~xuntil2p30(s4))),
% 5.63/4.50 inference(modus_ponens,[status(thm)],[23340, 23339])).
% 5.63/4.50 tff(23342,plain,
% 5.63/4.50 (until2p29(s5) | (~xuntil2p30(s4))),
% 5.63/4.50 inference(unit_resolution,[status(thm)],[23341, 708, 20808])).
% 5.63/4.50 tff(23343,plain,
% 5.63/4.50 (~xuntil2p30(s4)),
% 5.63/4.50 inference(unit_resolution,[status(thm)],[23342, 23338])).
% 5.63/4.50 tff(23344,plain,
% 5.63/4.50 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s4) | xuntil2p30(s4) | (~until2p29(s4)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s4) | xuntil2p30(s4) | (~until2p29(s4)))),
% 5.63/4.50 inference(rewrite,[status(thm)],[])).
% 5.63/4.50 tff(23345,plain,
% 5.63/4.50 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s4) | xuntil2p30(s4) | (~until2p29(s4)))),
% 5.63/4.50 inference(quant_inst,[status(thm)],[])).
% 5.63/4.50 tff(23346,plain,
% 5.63/4.50 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s4) | xuntil2p30(s4) | (~until2p29(s4))),
% 5.63/4.50 inference(modus_ponens,[status(thm)],[23345, 23344])).
% 5.63/4.50 tff(23347,plain,
% 5.63/4.50 (xuntil2p30(s4) | (~until2p29(s4))),
% 5.63/4.50 inference(unit_resolution,[status(thm)],[23346, 20793, 18061])).
% 5.63/4.50 tff(23348,plain,
% 5.63/4.50 (~until2p29(s4)),
% 5.63/4.50 inference(unit_resolution,[status(thm)],[23347, 23343])).
% 5.63/4.50 tff(23349,plain,
% 5.63/4.50 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s3, s4)) | until2p29(s4) | (~xuntil2p30(s3)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s3, s4)) | until2p29(s4) | (~xuntil2p30(s3)))),
% 5.63/4.50 inference(rewrite,[status(thm)],[])).
% 5.63/4.50 tff(23350,plain,
% 5.63/4.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s3, s4)) | until2p29(s4) | (~xuntil2p30(s3)))),
% 5.63/4.50 inference(quant_inst,[status(thm)],[])).
% 5.63/4.50 tff(23351,plain,
% 5.63/4.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s3, s4)) | until2p29(s4) | (~xuntil2p30(s3))),
% 5.63/4.50 inference(modus_ponens,[status(thm)],[23350, 23349])).
% 5.63/4.50 tff(23352,plain,
% 5.63/4.50 (until2p29(s4) | (~xuntil2p30(s3))),
% 5.63/4.50 inference(unit_resolution,[status(thm)],[23351, 599, 20808])).
% 5.63/4.50 tff(23353,plain,
% 5.63/4.50 (~xuntil2p30(s3)),
% 5.63/4.50 inference(unit_resolution,[status(thm)],[23352, 23348])).
% 5.63/4.50 tff(23354,plain,
% 5.63/4.50 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s3) | xuntil2p30(s3) | (~until2p29(s3)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s3) | xuntil2p30(s3) | (~until2p29(s3)))),
% 5.63/4.50 inference(rewrite,[status(thm)],[])).
% 5.63/4.50 tff(23355,plain,
% 5.63/4.50 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s3) | xuntil2p30(s3) | (~until2p29(s3)))),
% 5.63/4.50 inference(quant_inst,[status(thm)],[])).
% 5.63/4.50 tff(23356,plain,
% 5.63/4.50 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s3) | xuntil2p30(s3) | (~until2p29(s3))),
% 5.63/4.50 inference(modus_ponens,[status(thm)],[23355, 23354])).
% 5.63/4.50 tff(23357,plain,
% 5.63/4.50 (xuntil2p30(s3) | (~until2p29(s3))),
% 5.63/4.50 inference(unit_resolution,[status(thm)],[23356, 20793, 18044])).
% 5.63/4.50 tff(23358,plain,
% 5.63/4.50 (~until2p29(s3)),
% 5.63/4.50 inference(unit_resolution,[status(thm)],[23357, 23353])).
% 5.63/4.50 tff(23359,plain,
% 5.63/4.50 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s2, s3)) | until2p29(s3) | (~xuntil2p30(s2)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s2, s3)) | until2p29(s3) | (~xuntil2p30(s2)))),
% 5.63/4.50 inference(rewrite,[status(thm)],[])).
% 5.63/4.50 tff(23360,plain,
% 5.63/4.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s2, s3)) | until2p29(s3) | (~xuntil2p30(s2)))),
% 5.63/4.50 inference(quant_inst,[status(thm)],[])).
% 5.63/4.50 tff(23361,plain,
% 5.63/4.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s2, s3)) | until2p29(s3) | (~xuntil2p30(s2))),
% 5.63/4.50 inference(modus_ponens,[status(thm)],[23360, 23359])).
% 5.63/4.50 tff(23362,plain,
% 5.63/4.50 (until2p29(s3) | (~xuntil2p30(s2))),
% 5.63/4.50 inference(unit_resolution,[status(thm)],[23361, 480, 20808])).
% 5.63/4.50 tff(23363,plain,
% 5.63/4.50 (~xuntil2p30(s2)),
% 5.63/4.50 inference(unit_resolution,[status(thm)],[23362, 23358])).
% 5.63/4.50 tff(23364,plain,
% 5.63/4.50 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s2) | xuntil2p30(s2) | (~until2p29(s2)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s2) | xuntil2p30(s2) | (~until2p29(s2)))),
% 5.63/4.50 inference(rewrite,[status(thm)],[])).
% 5.63/4.50 tff(23365,plain,
% 5.63/4.50 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s2) | xuntil2p30(s2) | (~until2p29(s2)))),
% 5.63/4.50 inference(quant_inst,[status(thm)],[])).
% 5.63/4.50 tff(23366,plain,
% 5.63/4.50 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s2) | xuntil2p30(s2) | (~until2p29(s2))),
% 5.63/4.50 inference(modus_ponens,[status(thm)],[23365, 23364])).
% 5.63/4.50 tff(23367,plain,
% 5.63/4.50 (xuntil2p30(s2) | (~until2p29(s2))),
% 5.63/4.50 inference(unit_resolution,[status(thm)],[23366, 20793, 17966])).
% 5.63/4.50 tff(23368,plain,
% 5.63/4.50 (~until2p29(s2)),
% 5.63/4.50 inference(unit_resolution,[status(thm)],[23367, 23363])).
% 5.63/4.50 tff(23369,assumption,(trans(s204, s2)), introduced(assumption)).
% 5.63/4.50 tff(23370,plain,
% 5.63/4.50 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s2) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s2)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s2) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s2)))),
% 5.63/4.50 inference(rewrite,[status(thm)],[])).
% 5.63/4.50 tff(23371,plain,
% 5.63/4.50 (((~trans(s204, s2)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s2)) <=> (until2p29(s2) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s2)))),
% 5.63/4.50 inference(rewrite,[status(thm)],[])).
% 5.63/4.50 tff(23372,plain,
% 5.63/4.50 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s2)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s2))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s2) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s2))))),
% 5.63/4.50 inference(monotonicity,[status(thm)],[23371])).
% 5.63/4.50 tff(23373,plain,
% 5.63/4.50 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s2)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s2))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s2) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s2)))),
% 5.63/4.50 inference(transitivity,[status(thm)],[23372, 23370])).
% 5.63/4.50 tff(23374,plain,
% 5.63/4.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s2)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s2))),
% 5.63/4.51 inference(quant_inst,[status(thm)],[])).
% 5.63/4.51 tff(23375,plain,
% 5.63/4.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s2) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s2))),
% 5.63/4.51 inference(modus_ponens,[status(thm)],[23374, 23373])).
% 5.63/4.51 tff(23376,plain,
% 5.63/4.51 ($false),
% 5.63/4.51 inference(unit_resolution,[status(thm)],[23375, 20779, 23369, 21667, 23368, 20769])).
% 5.63/4.51 tff(23377,plain,(~trans(s204, s2)), inference(lemma,lemma(discharge,[]))).
% 5.63/4.51 tff(23378,assumption,(trans(s204, s94)), introduced(assumption)).
% 5.63/4.51 tff(23379,plain,
% 5.63/4.51 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s94) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s94)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s94) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s94)))),
% 5.63/4.51 inference(rewrite,[status(thm)],[])).
% 5.63/4.51 tff(23380,plain,
% 5.63/4.51 (((~trans(s204, s94)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s94)) <=> (until2p29(s94) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s94)))),
% 5.63/4.51 inference(rewrite,[status(thm)],[])).
% 5.63/4.51 tff(23381,plain,
% 5.63/4.51 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s94)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s94))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s94) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s94))))),
% 5.63/4.51 inference(monotonicity,[status(thm)],[23380])).
% 5.63/4.51 tff(23382,plain,
% 5.63/4.51 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s94)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s94))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s94) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s94)))),
% 5.63/4.51 inference(transitivity,[status(thm)],[23381, 23379])).
% 5.63/4.51 tff(23383,plain,
% 5.63/4.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s94)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s94))),
% 5.63/4.51 inference(quant_inst,[status(thm)],[])).
% 5.63/4.51 tff(23384,plain,
% 5.63/4.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s94) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s94))),
% 5.63/4.51 inference(modus_ponens,[status(thm)],[23383, 23382])).
% 5.63/4.51 tff(23385,plain,
% 5.63/4.51 ($false),
% 5.63/4.51 inference(unit_resolution,[status(thm)],[23384, 20779, 23378, 21667, 21935, 20769])).
% 5.63/4.51 tff(23386,plain,(~trans(s204, s94)), inference(lemma,lemma(discharge,[]))).
% 5.63/4.51 tff(23387,assumption,(trans(s204, s180)), introduced(assumption)).
% 5.63/4.51 tff(23388,plain,
% 5.63/4.51 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s180) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s180)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s180) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s180)))),
% 5.63/4.51 inference(rewrite,[status(thm)],[])).
% 5.63/4.51 tff(23389,plain,
% 5.63/4.51 (((~trans(s204, s180)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s180)) <=> (until2p29(s180) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s180)))),
% 5.63/4.51 inference(rewrite,[status(thm)],[])).
% 5.63/4.51 tff(23390,plain,
% 5.63/4.51 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s180)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s180))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s180) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s180))))),
% 5.63/4.51 inference(monotonicity,[status(thm)],[23389])).
% 5.63/4.51 tff(23391,plain,
% 5.63/4.51 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s180)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s180))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s180) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s180)))),
% 5.63/4.51 inference(transitivity,[status(thm)],[23390, 23388])).
% 5.63/4.51 tff(23392,plain,
% 5.63/4.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s180)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s180))),
% 5.63/4.51 inference(quant_inst,[status(thm)],[])).
% 5.63/4.51 tff(23393,plain,
% 5.63/4.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s180) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s180))),
% 5.63/4.51 inference(modus_ponens,[status(thm)],[23392, 23391])).
% 5.63/4.51 tff(23394,plain,
% 5.63/4.51 ($false),
% 5.63/4.51 inference(unit_resolution,[status(thm)],[23393, 20779, 23387, 21667, 21047, 20769])).
% 5.63/4.51 tff(23395,plain,(~trans(s204, s180)), inference(lemma,lemma(discharge,[]))).
% 5.63/4.51 tff(23396,assumption,(trans(s204, s85)), introduced(assumption)).
% 5.63/4.51 tff(23397,plain,
% 5.63/4.51 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s85) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s85)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s85) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s85)))),
% 5.63/4.51 inference(rewrite,[status(thm)],[])).
% 5.63/4.51 tff(23398,plain,
% 5.63/4.51 (((~trans(s204, s85)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s85)) <=> (until2p29(s85) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s85)))),
% 5.63/4.51 inference(rewrite,[status(thm)],[])).
% 5.63/4.51 tff(23399,plain,
% 5.63/4.51 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s85)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s85))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s85) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s85))))),
% 5.63/4.51 inference(monotonicity,[status(thm)],[23398])).
% 5.63/4.51 tff(23400,plain,
% 5.63/4.51 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s85)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s85))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s85) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s85)))),
% 5.63/4.51 inference(transitivity,[status(thm)],[23399, 23397])).
% 5.63/4.51 tff(23401,plain,
% 5.63/4.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s85)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s85))),
% 5.63/4.51 inference(quant_inst,[status(thm)],[])).
% 5.63/4.51 tff(23402,plain,
% 5.63/4.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s85) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s85))),
% 5.63/4.51 inference(modus_ponens,[status(thm)],[23401, 23400])).
% 5.63/4.51 tff(23403,plain,
% 5.63/4.51 ($false),
% 5.63/4.51 inference(unit_resolution,[status(thm)],[23402, 20779, 23396, 21667, 22025, 20769])).
% 5.63/4.51 tff(23404,plain,(~trans(s204, s85)), inference(lemma,lemma(discharge,[]))).
% 5.63/4.51 tff(23405,assumption,(trans(s204, s113)), introduced(assumption)).
% 5.63/4.51 tff(23406,plain,
% 5.63/4.51 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s113) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s113)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s113) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s113)))),
% 5.63/4.51 inference(rewrite,[status(thm)],[])).
% 5.63/4.51 tff(23407,plain,
% 5.63/4.51 (((~trans(s204, s113)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s113)) <=> (until2p29(s113) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s113)))),
% 5.63/4.51 inference(rewrite,[status(thm)],[])).
% 5.63/4.51 tff(23408,plain,
% 5.63/4.51 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s113)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s113))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s113) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s113))))),
% 5.63/4.51 inference(monotonicity,[status(thm)],[23407])).
% 5.63/4.51 tff(23409,plain,
% 5.63/4.51 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s113)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s113))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s113) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s113)))),
% 5.63/4.51 inference(transitivity,[status(thm)],[23408, 23406])).
% 5.63/4.51 tff(23410,plain,
% 5.63/4.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s113)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s113))),
% 5.63/4.51 inference(quant_inst,[status(thm)],[])).
% 5.63/4.51 tff(23411,plain,
% 5.63/4.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s113) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s113))),
% 5.63/4.51 inference(modus_ponens,[status(thm)],[23410, 23409])).
% 5.63/4.51 tff(23412,plain,
% 5.63/4.51 ($false),
% 5.63/4.51 inference(unit_resolution,[status(thm)],[23411, 20779, 23405, 21667, 21736, 20769])).
% 5.63/4.51 tff(23413,plain,(~trans(s204, s113)), inference(lemma,lemma(discharge,[]))).
% 5.63/4.51 tff(23414,assumption,(trans(s204, s105)), introduced(assumption)).
% 5.63/4.51 tff(23415,plain,
% 5.63/4.51 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s105) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s105)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s105) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s105)))),
% 5.63/4.51 inference(rewrite,[status(thm)],[])).
% 5.63/4.51 tff(23416,plain,
% 5.63/4.51 (((~trans(s204, s105)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s105)) <=> (until2p29(s105) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s105)))),
% 5.63/4.51 inference(rewrite,[status(thm)],[])).
% 5.63/4.51 tff(23417,plain,
% 5.63/4.51 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s105)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s105))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s105) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s105))))),
% 5.63/4.51 inference(monotonicity,[status(thm)],[23416])).
% 5.63/4.51 tff(23418,plain,
% 5.63/4.51 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s105)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s105))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s105) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s105)))),
% 5.63/4.51 inference(transitivity,[status(thm)],[23417, 23415])).
% 5.63/4.51 tff(23419,plain,
% 5.63/4.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s105)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s105))),
% 5.63/4.51 inference(quant_inst,[status(thm)],[])).
% 5.63/4.51 tff(23420,plain,
% 5.63/4.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s105) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s105))),
% 5.63/4.51 inference(modus_ponens,[status(thm)],[23419, 23418])).
% 5.63/4.51 tff(23421,plain,
% 5.63/4.51 ($false),
% 5.63/4.51 inference(unit_resolution,[status(thm)],[23420, 20779, 23414, 21667, 21816, 20769])).
% 5.63/4.51 tff(23422,plain,(~trans(s204, s105)), inference(lemma,lemma(discharge,[]))).
% 5.63/4.51 tff(23423,assumption,(trans(s204, s158)), introduced(assumption)).
% 5.63/4.51 tff(23424,plain,
% 5.63/4.51 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s158) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s158)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s158) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s158)))),
% 5.63/4.51 inference(rewrite,[status(thm)],[])).
% 5.63/4.51 tff(23425,plain,
% 5.63/4.51 (((~trans(s204, s158)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s158)) <=> (until2p29(s158) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s158)))),
% 5.63/4.51 inference(rewrite,[status(thm)],[])).
% 5.63/4.51 tff(23426,plain,
% 5.63/4.51 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s158)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s158))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s158) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s158))))),
% 5.63/4.51 inference(monotonicity,[status(thm)],[23425])).
% 5.63/4.51 tff(23427,plain,
% 5.63/4.51 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s158)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s158))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s158) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s158)))),
% 5.63/4.51 inference(transitivity,[status(thm)],[23426, 23424])).
% 5.63/4.51 tff(23428,plain,
% 5.63/4.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s158)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s158))),
% 5.63/4.51 inference(quant_inst,[status(thm)],[])).
% 5.63/4.51 tff(23429,plain,
% 5.63/4.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s158) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s158))),
% 5.63/4.51 inference(modus_ponens,[status(thm)],[23428, 23427])).
% 5.63/4.51 tff(23430,plain,
% 5.63/4.51 ($false),
% 5.63/4.51 inference(unit_resolution,[status(thm)],[23429, 20779, 23423, 21667, 21267, 20769])).
% 5.63/4.51 tff(23431,plain,(~trans(s204, s158)), inference(lemma,lemma(discharge,[]))).
% 5.63/4.51 tff(23432,assumption,(trans(s204, s203)), introduced(assumption)).
% 5.63/4.51 tff(23433,plain,
% 5.63/4.51 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s203) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s203)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s203) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s203)))),
% 5.63/4.51 inference(rewrite,[status(thm)],[])).
% 5.63/4.51 tff(23434,plain,
% 5.63/4.51 (((~trans(s204, s203)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s203)) <=> (until2p29(s203) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s203)))),
% 5.63/4.51 inference(rewrite,[status(thm)],[])).
% 5.63/4.51 tff(23435,plain,
% 5.63/4.51 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s203)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s203))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s203) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s203))))),
% 5.63/4.51 inference(monotonicity,[status(thm)],[23434])).
% 5.63/4.51 tff(23436,plain,
% 5.63/4.51 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s203)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s203))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s203) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s203)))),
% 5.63/4.51 inference(transitivity,[status(thm)],[23435, 23433])).
% 5.63/4.51 tff(23437,plain,
% 5.63/4.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s203)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s203))),
% 5.63/4.51 inference(quant_inst,[status(thm)],[])).
% 5.63/4.51 tff(23438,plain,
% 5.63/4.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s203) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s203))),
% 5.63/4.51 inference(modus_ponens,[status(thm)],[23437, 23436])).
% 5.63/4.51 tff(23439,plain,
% 5.63/4.51 ($false),
% 5.63/4.51 inference(unit_resolution,[status(thm)],[23438, 20779, 23432, 21667, 20817, 20769])).
% 5.63/4.51 tff(23440,plain,(~trans(s204, s203)), inference(lemma,lemma(discharge,[]))).
% 5.63/4.51 tff(23441,assumption,(trans(s204, s55)), introduced(assumption)).
% 5.63/4.51 tff(23442,plain,
% 5.63/4.51 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s55) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s55)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s55) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s55)))),
% 5.63/4.51 inference(rewrite,[status(thm)],[])).
% 5.63/4.51 tff(23443,plain,
% 5.63/4.51 (((~trans(s204, s55)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s55)) <=> (until2p29(s55) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s55)))),
% 5.63/4.51 inference(rewrite,[status(thm)],[])).
% 5.63/4.51 tff(23444,plain,
% 5.63/4.51 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s55)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s55))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s55) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s55))))),
% 5.63/4.51 inference(monotonicity,[status(thm)],[23443])).
% 5.63/4.51 tff(23445,plain,
% 5.63/4.51 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s55)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s55))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s55) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s55)))),
% 5.63/4.51 inference(transitivity,[status(thm)],[23444, 23442])).
% 5.63/4.51 tff(23446,plain,
% 5.63/4.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s55)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s55))),
% 5.63/4.51 inference(quant_inst,[status(thm)],[])).
% 5.63/4.51 tff(23447,plain,
% 5.63/4.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s55) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s55))),
% 5.63/4.51 inference(modus_ponens,[status(thm)],[23446, 23445])).
% 5.63/4.51 tff(23448,plain,
% 5.63/4.51 ($false),
% 5.63/4.51 inference(unit_resolution,[status(thm)],[23447, 20779, 23441, 21667, 22325, 20769])).
% 5.63/4.51 tff(23449,plain,(~trans(s204, s55)), inference(lemma,lemma(discharge,[]))).
% 5.63/4.51 tff(23450,assumption,(trans(s204, s83)), introduced(assumption)).
% 5.63/4.51 tff(23451,plain,
% 5.63/4.51 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s83) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s83)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s83) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s83)))),
% 5.63/4.51 inference(rewrite,[status(thm)],[])).
% 5.63/4.51 tff(23452,plain,
% 5.63/4.51 (((~trans(s204, s83)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s83)) <=> (until2p29(s83) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s83)))),
% 5.63/4.51 inference(rewrite,[status(thm)],[])).
% 5.63/4.51 tff(23453,plain,
% 5.63/4.51 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s83)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s83))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s83) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s83))))),
% 5.63/4.51 inference(monotonicity,[status(thm)],[23452])).
% 5.63/4.51 tff(23454,plain,
% 5.63/4.51 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s83)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s83))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s83) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s83)))),
% 5.63/4.51 inference(transitivity,[status(thm)],[23453, 23451])).
% 5.63/4.51 tff(23455,plain,
% 5.63/4.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s83)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s83))),
% 5.63/4.51 inference(quant_inst,[status(thm)],[])).
% 5.63/4.51 tff(23456,plain,
% 5.63/4.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s83) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s83))),
% 5.63/4.51 inference(modus_ponens,[status(thm)],[23455, 23454])).
% 5.63/4.51 tff(23457,plain,
% 5.63/4.51 ($false),
% 5.63/4.51 inference(unit_resolution,[status(thm)],[23456, 20779, 23450, 21667, 22045, 20769])).
% 5.63/4.51 tff(23458,plain,(~trans(s204, s83)), inference(lemma,lemma(discharge,[]))).
% 5.63/4.51 tff(23459,assumption,(trans(s204, s28)), introduced(assumption)).
% 5.63/4.51 tff(23460,plain,
% 5.63/4.51 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s28) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s28)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s28) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s28)))),
% 5.63/4.51 inference(rewrite,[status(thm)],[])).
% 5.63/4.51 tff(23461,plain,
% 5.63/4.51 (((~trans(s204, s28)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s28)) <=> (until2p29(s28) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s28)))),
% 5.63/4.51 inference(rewrite,[status(thm)],[])).
% 5.63/4.51 tff(23462,plain,
% 5.63/4.51 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s28)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s28))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s28) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s28))))),
% 5.63/4.51 inference(monotonicity,[status(thm)],[23461])).
% 5.63/4.51 tff(23463,plain,
% 5.63/4.51 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s28)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s28))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s28) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s28)))),
% 5.63/4.51 inference(transitivity,[status(thm)],[23462, 23460])).
% 5.63/4.51 tff(23464,plain,
% 5.63/4.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s28)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s28))),
% 5.63/4.51 inference(quant_inst,[status(thm)],[])).
% 5.63/4.51 tff(23465,plain,
% 5.63/4.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s28) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s28))),
% 5.63/4.51 inference(modus_ponens,[status(thm)],[23464, 23463])).
% 5.63/4.51 tff(23466,plain,
% 5.63/4.51 ($false),
% 5.63/4.51 inference(unit_resolution,[status(thm)],[23465, 20779, 23459, 21667, 22595, 20769])).
% 5.63/4.51 tff(23467,plain,(~trans(s204, s28)), inference(lemma,lemma(discharge,[]))).
% 5.63/4.51 tff(23468,assumption,(trans(s204, s96)), introduced(assumption)).
% 5.63/4.51 tff(23469,plain,
% 5.63/4.51 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s96) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s96)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s96) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s96)))),
% 5.63/4.51 inference(rewrite,[status(thm)],[])).
% 5.63/4.51 tff(23470,plain,
% 5.63/4.51 (((~trans(s204, s96)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s96)) <=> (until2p29(s96) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s96)))),
% 5.63/4.51 inference(rewrite,[status(thm)],[])).
% 5.63/4.51 tff(23471,plain,
% 5.63/4.51 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s96)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s96))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s96) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s96))))),
% 5.63/4.51 inference(monotonicity,[status(thm)],[23470])).
% 5.63/4.51 tff(23472,plain,
% 5.63/4.51 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s96)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s96))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s96) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s96)))),
% 5.63/4.51 inference(transitivity,[status(thm)],[23471, 23469])).
% 5.63/4.51 tff(23473,plain,
% 5.63/4.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s96)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s96))),
% 5.63/4.51 inference(quant_inst,[status(thm)],[])).
% 5.63/4.51 tff(23474,plain,
% 5.63/4.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s96) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s96))),
% 5.63/4.51 inference(modus_ponens,[status(thm)],[23473, 23472])).
% 5.63/4.51 tff(23475,plain,
% 5.63/4.51 ($false),
% 5.63/4.51 inference(unit_resolution,[status(thm)],[23474, 20779, 23468, 21667, 21915, 20769])).
% 5.63/4.51 tff(23476,plain,(~trans(s204, s96)), inference(lemma,lemma(discharge,[]))).
% 5.63/4.51 tff(23477,assumption,(trans(s204, s53)), introduced(assumption)).
% 5.63/4.51 tff(23478,plain,
% 5.63/4.51 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s53) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s53)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s53) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s53)))),
% 5.63/4.51 inference(rewrite,[status(thm)],[])).
% 5.63/4.51 tff(23479,plain,
% 5.63/4.51 (((~trans(s204, s53)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s53)) <=> (until2p29(s53) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s53)))),
% 5.63/4.51 inference(rewrite,[status(thm)],[])).
% 5.63/4.51 tff(23480,plain,
% 5.63/4.51 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s53)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s53))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s53) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s53))))),
% 5.63/4.51 inference(monotonicity,[status(thm)],[23479])).
% 5.63/4.51 tff(23481,plain,
% 5.63/4.51 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s53)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s53))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s53) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s53)))),
% 5.63/4.51 inference(transitivity,[status(thm)],[23480, 23478])).
% 5.63/4.51 tff(23482,plain,
% 5.63/4.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s53)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s53))),
% 5.63/4.51 inference(quant_inst,[status(thm)],[])).
% 5.63/4.51 tff(23483,plain,
% 5.63/4.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s53) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s53))),
% 5.63/4.51 inference(modus_ponens,[status(thm)],[23482, 23481])).
% 5.63/4.51 tff(23484,plain,
% 5.63/4.51 ($false),
% 5.63/4.51 inference(unit_resolution,[status(thm)],[23483, 20779, 23477, 21667, 22345, 20769])).
% 5.63/4.51 tff(23485,plain,(~trans(s204, s53)), inference(lemma,lemma(discharge,[]))).
% 5.63/4.51 tff(23486,assumption,(trans(s204, s60)), introduced(assumption)).
% 5.63/4.51 tff(23487,plain,
% 5.63/4.51 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s60) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s60)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s60) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s60)))),
% 5.63/4.51 inference(rewrite,[status(thm)],[])).
% 5.63/4.51 tff(23488,plain,
% 5.63/4.51 (((~trans(s204, s60)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s60)) <=> (until2p29(s60) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s60)))),
% 5.63/4.51 inference(rewrite,[status(thm)],[])).
% 5.63/4.51 tff(23489,plain,
% 5.63/4.51 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s60)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s60))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s60) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s60))))),
% 5.63/4.51 inference(monotonicity,[status(thm)],[23488])).
% 5.63/4.51 tff(23490,plain,
% 5.63/4.51 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s60)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s60))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s60) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s60)))),
% 5.63/4.51 inference(transitivity,[status(thm)],[23489, 23487])).
% 5.63/4.51 tff(23491,plain,
% 5.63/4.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s60)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s60))),
% 5.63/4.51 inference(quant_inst,[status(thm)],[])).
% 5.63/4.51 tff(23492,plain,
% 5.63/4.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s60) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s60))),
% 5.63/4.51 inference(modus_ponens,[status(thm)],[23491, 23490])).
% 5.63/4.51 tff(23493,plain,
% 5.63/4.51 ($false),
% 5.63/4.51 inference(unit_resolution,[status(thm)],[23492, 20779, 23486, 21667, 22275, 20769])).
% 5.63/4.51 tff(23494,plain,(~trans(s204, s60)), inference(lemma,lemma(discharge,[]))).
% 5.63/4.52 tff(23495,assumption,(trans(s204, s131)), introduced(assumption)).
% 5.63/4.52 tff(23496,plain,
% 5.63/4.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s131) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s131)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s131) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s131)))),
% 5.63/4.52 inference(rewrite,[status(thm)],[])).
% 5.63/4.52 tff(23497,plain,
% 5.63/4.52 (((~trans(s204, s131)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s131)) <=> (until2p29(s131) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s131)))),
% 5.63/4.52 inference(rewrite,[status(thm)],[])).
% 5.63/4.52 tff(23498,plain,
% 5.63/4.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s131)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s131))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s131) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s131))))),
% 5.63/4.52 inference(monotonicity,[status(thm)],[23497])).
% 5.63/4.52 tff(23499,plain,
% 5.63/4.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s131)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s131))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s131) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s131)))),
% 5.63/4.52 inference(transitivity,[status(thm)],[23498, 23496])).
% 5.63/4.52 tff(23500,plain,
% 5.63/4.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s131)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s131))),
% 5.63/4.52 inference(quant_inst,[status(thm)],[])).
% 5.63/4.52 tff(23501,plain,
% 5.63/4.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s131) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s131))),
% 5.63/4.52 inference(modus_ponens,[status(thm)],[23500, 23499])).
% 5.63/4.52 tff(23502,plain,
% 5.63/4.52 ($false),
% 5.63/4.52 inference(unit_resolution,[status(thm)],[23501, 20779, 23495, 21667, 21537, 20769])).
% 5.63/4.52 tff(23503,plain,(~trans(s204, s131)), inference(lemma,lemma(discharge,[]))).
% 5.63/4.52 tff(23504,assumption,(trans(s204, s199)), introduced(assumption)).
% 5.63/4.52 tff(23505,plain,
% 5.63/4.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s199) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s199)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s199) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s199)))),
% 5.63/4.52 inference(rewrite,[status(thm)],[])).
% 5.63/4.52 tff(23506,plain,
% 5.63/4.52 (((~trans(s204, s199)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s199)) <=> (until2p29(s199) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s199)))),
% 5.63/4.52 inference(rewrite,[status(thm)],[])).
% 5.63/4.52 tff(23507,plain,
% 5.63/4.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s199)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s199))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s199) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s199))))),
% 5.63/4.52 inference(monotonicity,[status(thm)],[23506])).
% 5.63/4.52 tff(23508,plain,
% 5.63/4.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s199)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s199))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s199) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s199)))),
% 5.63/4.52 inference(transitivity,[status(thm)],[23507, 23505])).
% 5.63/4.52 tff(23509,plain,
% 5.63/4.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s199)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s199))),
% 5.63/4.52 inference(quant_inst,[status(thm)],[])).
% 5.63/4.52 tff(23510,plain,
% 5.63/4.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s199) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s199))),
% 5.63/4.52 inference(modus_ponens,[status(thm)],[23509, 23508])).
% 5.63/4.52 tff(23511,plain,
% 5.63/4.52 ($false),
% 5.63/4.52 inference(unit_resolution,[status(thm)],[23510, 20779, 23504, 21667, 20857, 20769])).
% 5.63/4.52 tff(23512,plain,(~trans(s204, s199)), inference(lemma,lemma(discharge,[]))).
% 5.63/4.52 tff(23513,assumption,(trans(s204, s3)), introduced(assumption)).
% 5.63/4.52 tff(23514,plain,
% 5.63/4.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s3) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s3)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s3) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s3)))),
% 5.63/4.52 inference(rewrite,[status(thm)],[])).
% 5.63/4.52 tff(23515,plain,
% 5.63/4.52 (((~trans(s204, s3)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s3)) <=> (until2p29(s3) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s3)))),
% 5.63/4.52 inference(rewrite,[status(thm)],[])).
% 5.63/4.52 tff(23516,plain,
% 5.63/4.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s3)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s3))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s3) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s3))))),
% 5.63/4.52 inference(monotonicity,[status(thm)],[23515])).
% 5.63/4.52 tff(23517,plain,
% 5.63/4.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s3)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s3))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s3) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s3)))),
% 5.63/4.52 inference(transitivity,[status(thm)],[23516, 23514])).
% 5.63/4.52 tff(23518,plain,
% 5.63/4.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s3)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s3))),
% 5.63/4.52 inference(quant_inst,[status(thm)],[])).
% 5.63/4.52 tff(23519,plain,
% 5.63/4.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s3) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s3))),
% 5.63/4.52 inference(modus_ponens,[status(thm)],[23518, 23517])).
% 5.63/4.52 tff(23520,plain,
% 5.63/4.52 ($false),
% 5.63/4.52 inference(unit_resolution,[status(thm)],[23519, 20779, 23513, 21667, 23358, 20769])).
% 5.63/4.52 tff(23521,plain,(~trans(s204, s3)), inference(lemma,lemma(discharge,[]))).
% 5.63/4.52 tff(23522,assumption,(trans(s204, s130)), introduced(assumption)).
% 5.63/4.52 tff(23523,plain,
% 5.63/4.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s130) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s130)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s130) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s130)))),
% 5.63/4.52 inference(rewrite,[status(thm)],[])).
% 5.63/4.52 tff(23524,plain,
% 5.63/4.52 (((~trans(s204, s130)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s130)) <=> (until2p29(s130) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s130)))),
% 5.63/4.52 inference(rewrite,[status(thm)],[])).
% 5.63/4.52 tff(23525,plain,
% 5.63/4.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s130)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s130))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s130) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s130))))),
% 5.63/4.52 inference(monotonicity,[status(thm)],[23524])).
% 5.63/4.52 tff(23526,plain,
% 5.63/4.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s130)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s130))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s130) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s130)))),
% 5.63/4.52 inference(transitivity,[status(thm)],[23525, 23523])).
% 5.63/4.52 tff(23527,plain,
% 5.63/4.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s130)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s130))),
% 5.63/4.52 inference(quant_inst,[status(thm)],[])).
% 5.63/4.52 tff(23528,plain,
% 5.63/4.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s130) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s130))),
% 5.63/4.52 inference(modus_ponens,[status(thm)],[23527, 23526])).
% 5.63/4.52 tff(23529,plain,
% 5.63/4.52 ($false),
% 5.63/4.52 inference(unit_resolution,[status(thm)],[23528, 20779, 23522, 21667, 21547, 20769])).
% 5.63/4.52 tff(23530,plain,(~trans(s204, s130)), inference(lemma,lemma(discharge,[]))).
% 5.63/4.52 tff(23531,assumption,(trans(s204, s4)), introduced(assumption)).
% 5.63/4.52 tff(23532,plain,
% 5.63/4.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s4) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s4)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s4) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s4)))),
% 5.63/4.52 inference(rewrite,[status(thm)],[])).
% 5.63/4.52 tff(23533,plain,
% 5.63/4.52 (((~trans(s204, s4)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s4)) <=> (until2p29(s4) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s4)))),
% 5.63/4.52 inference(rewrite,[status(thm)],[])).
% 5.63/4.52 tff(23534,plain,
% 5.63/4.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s4)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s4))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s4) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s4))))),
% 5.63/4.52 inference(monotonicity,[status(thm)],[23533])).
% 5.63/4.52 tff(23535,plain,
% 5.63/4.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s4)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s4))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s4) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s4)))),
% 5.63/4.52 inference(transitivity,[status(thm)],[23534, 23532])).
% 5.63/4.52 tff(23536,plain,
% 5.63/4.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s4)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s4))),
% 5.63/4.52 inference(quant_inst,[status(thm)],[])).
% 5.63/4.52 tff(23537,plain,
% 5.63/4.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s4) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s4))),
% 5.63/4.52 inference(modus_ponens,[status(thm)],[23536, 23535])).
% 5.63/4.52 tff(23538,plain,
% 5.63/4.52 ($false),
% 5.63/4.52 inference(unit_resolution,[status(thm)],[23537, 20779, 23531, 21667, 23348, 20769])).
% 5.63/4.52 tff(23539,plain,(~trans(s204, s4)), inference(lemma,lemma(discharge,[]))).
% 5.63/4.52 tff(23540,assumption,(trans(s204, s51)), introduced(assumption)).
% 5.63/4.52 tff(23541,plain,
% 5.63/4.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s51) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s51)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s51) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s51)))),
% 5.63/4.52 inference(rewrite,[status(thm)],[])).
% 5.63/4.52 tff(23542,plain,
% 5.63/4.52 (((~trans(s204, s51)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s51)) <=> (until2p29(s51) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s51)))),
% 5.63/4.52 inference(rewrite,[status(thm)],[])).
% 5.63/4.52 tff(23543,plain,
% 5.63/4.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s51)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s51))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s51) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s51))))),
% 5.63/4.52 inference(monotonicity,[status(thm)],[23542])).
% 5.63/4.52 tff(23544,plain,
% 5.63/4.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s51)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s51))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s51) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s51)))),
% 5.63/4.52 inference(transitivity,[status(thm)],[23543, 23541])).
% 5.63/4.52 tff(23545,plain,
% 5.63/4.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s51)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s51))),
% 5.63/4.52 inference(quant_inst,[status(thm)],[])).
% 5.63/4.52 tff(23546,plain,
% 5.63/4.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s51) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s51))),
% 5.63/4.52 inference(modus_ponens,[status(thm)],[23545, 23544])).
% 5.63/4.52 tff(23547,plain,
% 5.63/4.52 ($false),
% 5.63/4.52 inference(unit_resolution,[status(thm)],[23546, 20779, 23540, 21667, 22365, 20769])).
% 5.63/4.52 tff(23548,plain,(~trans(s204, s51)), inference(lemma,lemma(discharge,[]))).
% 5.63/4.52 tff(23549,assumption,(trans(s204, s187)), introduced(assumption)).
% 5.63/4.52 tff(23550,plain,
% 5.63/4.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s187) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s187)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s187) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s187)))),
% 5.63/4.52 inference(rewrite,[status(thm)],[])).
% 5.63/4.52 tff(23551,plain,
% 5.63/4.52 (((~trans(s204, s187)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s187)) <=> (until2p29(s187) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s187)))),
% 5.63/4.52 inference(rewrite,[status(thm)],[])).
% 5.63/4.52 tff(23552,plain,
% 5.63/4.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s187)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s187))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s187) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s187))))),
% 5.63/4.52 inference(monotonicity,[status(thm)],[23551])).
% 5.63/4.52 tff(23553,plain,
% 5.63/4.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s187)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s187))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s187) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s187)))),
% 5.63/4.52 inference(transitivity,[status(thm)],[23552, 23550])).
% 5.63/4.52 tff(23554,plain,
% 5.63/4.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s187)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s187))),
% 5.63/4.52 inference(quant_inst,[status(thm)],[])).
% 5.63/4.52 tff(23555,plain,
% 5.63/4.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s187) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s187))),
% 5.63/4.52 inference(modus_ponens,[status(thm)],[23554, 23553])).
% 5.63/4.52 tff(23556,plain,
% 5.63/4.52 ($false),
% 5.63/4.52 inference(unit_resolution,[status(thm)],[23555, 20779, 23549, 21667, 20977, 20769])).
% 5.63/4.52 tff(23557,plain,(~trans(s204, s187)), inference(lemma,lemma(discharge,[]))).
% 5.63/4.52 tff(23558,assumption,(trans(s204, s143)), introduced(assumption)).
% 5.63/4.52 tff(23559,plain,
% 5.63/4.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s143) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s143)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s143) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s143)))),
% 5.63/4.52 inference(rewrite,[status(thm)],[])).
% 5.63/4.52 tff(23560,plain,
% 5.63/4.52 (((~trans(s204, s143)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s143)) <=> (until2p29(s143) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s143)))),
% 5.63/4.52 inference(rewrite,[status(thm)],[])).
% 5.63/4.52 tff(23561,plain,
% 5.63/4.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s143)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s143))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s143) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s143))))),
% 5.63/4.52 inference(monotonicity,[status(thm)],[23560])).
% 5.63/4.52 tff(23562,plain,
% 5.63/4.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s143)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s143))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s143) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s143)))),
% 5.63/4.52 inference(transitivity,[status(thm)],[23561, 23559])).
% 5.63/4.52 tff(23563,plain,
% 5.63/4.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s143)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s143))),
% 5.63/4.52 inference(quant_inst,[status(thm)],[])).
% 5.63/4.52 tff(23564,plain,
% 5.63/4.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s143) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s143))),
% 5.63/4.52 inference(modus_ponens,[status(thm)],[23563, 23562])).
% 5.63/4.52 tff(23565,plain,
% 5.63/4.52 ($false),
% 5.63/4.52 inference(unit_resolution,[status(thm)],[23564, 20779, 23558, 21667, 21417, 20769])).
% 5.63/4.52 tff(23566,plain,(~trans(s204, s143)), inference(lemma,lemma(discharge,[]))).
% 5.63/4.52 tff(23567,assumption,(trans(s204, s102)), introduced(assumption)).
% 5.63/4.52 tff(23568,plain,
% 5.63/4.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s102) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s102)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s102) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s102)))),
% 5.63/4.52 inference(rewrite,[status(thm)],[])).
% 5.63/4.52 tff(23569,plain,
% 5.63/4.52 (((~trans(s204, s102)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s102)) <=> (until2p29(s102) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s102)))),
% 5.63/4.52 inference(rewrite,[status(thm)],[])).
% 5.63/4.52 tff(23570,plain,
% 5.63/4.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s102)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s102))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s102) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s102))))),
% 5.63/4.52 inference(monotonicity,[status(thm)],[23569])).
% 5.63/4.52 tff(23571,plain,
% 5.63/4.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s102)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s102))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s102) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s102)))),
% 5.63/4.52 inference(transitivity,[status(thm)],[23570, 23568])).
% 5.63/4.52 tff(23572,plain,
% 5.63/4.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s102)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s102))),
% 5.63/4.52 inference(quant_inst,[status(thm)],[])).
% 5.63/4.52 tff(23573,plain,
% 5.63/4.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s102) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s102))),
% 5.63/4.52 inference(modus_ponens,[status(thm)],[23572, 23571])).
% 5.63/4.52 tff(23574,plain,
% 5.63/4.52 ($false),
% 5.63/4.52 inference(unit_resolution,[status(thm)],[23573, 20779, 23567, 21667, 21855, 20769])).
% 5.63/4.52 tff(23575,plain,(~trans(s204, s102)), inference(lemma,lemma(discharge,[]))).
% 5.63/4.52 tff(23576,assumption,(trans(s204, s71)), introduced(assumption)).
% 5.63/4.52 tff(23577,plain,
% 5.63/4.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s71) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s71)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s71) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s71)))),
% 5.63/4.52 inference(rewrite,[status(thm)],[])).
% 5.63/4.52 tff(23578,plain,
% 5.63/4.52 (((~trans(s204, s71)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s71)) <=> (until2p29(s71) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s71)))),
% 5.63/4.52 inference(rewrite,[status(thm)],[])).
% 5.63/4.52 tff(23579,plain,
% 5.63/4.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s71)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s71))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s71) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s71))))),
% 5.63/4.52 inference(monotonicity,[status(thm)],[23578])).
% 5.63/4.52 tff(23580,plain,
% 5.63/4.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s71)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s71))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s71) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s71)))),
% 5.63/4.52 inference(transitivity,[status(thm)],[23579, 23577])).
% 5.63/4.52 tff(23581,plain,
% 5.63/4.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s71)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s71))),
% 5.63/4.52 inference(quant_inst,[status(thm)],[])).
% 5.63/4.52 tff(23582,plain,
% 5.63/4.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s71) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s71))),
% 5.63/4.52 inference(modus_ponens,[status(thm)],[23581, 23580])).
% 5.63/4.52 tff(23583,plain,
% 5.63/4.52 ($false),
% 5.63/4.52 inference(unit_resolution,[status(thm)],[23582, 20779, 23576, 21667, 22165, 20769])).
% 5.63/4.52 tff(23584,plain,(~trans(s204, s71)), inference(lemma,lemma(discharge,[]))).
% 5.63/4.52 tff(23585,assumption,(trans(s204, s171)), introduced(assumption)).
% 5.63/4.52 tff(23586,plain,
% 5.63/4.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s171) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s171)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s171) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s171)))),
% 5.63/4.52 inference(rewrite,[status(thm)],[])).
% 5.63/4.52 tff(23587,plain,
% 5.63/4.52 (((~trans(s204, s171)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s171)) <=> (until2p29(s171) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s171)))),
% 5.63/4.52 inference(rewrite,[status(thm)],[])).
% 5.63/4.52 tff(23588,plain,
% 5.63/4.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s171)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s171))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s171) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s171))))),
% 5.63/4.52 inference(monotonicity,[status(thm)],[23587])).
% 5.63/4.52 tff(23589,plain,
% 5.63/4.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s171)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s171))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s171) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s171)))),
% 5.63/4.52 inference(transitivity,[status(thm)],[23588, 23586])).
% 5.63/4.52 tff(23590,plain,
% 5.63/4.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s171)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s171))),
% 5.63/4.52 inference(quant_inst,[status(thm)],[])).
% 5.63/4.52 tff(23591,plain,
% 5.63/4.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s171) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s171))),
% 5.63/4.52 inference(modus_ponens,[status(thm)],[23590, 23589])).
% 5.63/4.52 tff(23592,plain,
% 5.63/4.52 ($false),
% 5.63/4.52 inference(unit_resolution,[status(thm)],[23591, 20779, 23585, 21667, 21137, 20769])).
% 5.63/4.52 tff(23593,plain,(~trans(s204, s171)), inference(lemma,lemma(discharge,[]))).
% 5.63/4.52 tff(23594,assumption,(trans(s204, s6)), introduced(assumption)).
% 5.63/4.52 tff(23595,plain,
% 5.63/4.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s6) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s6)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s6) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s6)))),
% 5.63/4.52 inference(rewrite,[status(thm)],[])).
% 5.63/4.52 tff(23596,plain,
% 5.63/4.52 (((~trans(s204, s6)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s6)) <=> (until2p29(s6) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s6)))),
% 5.63/4.52 inference(rewrite,[status(thm)],[])).
% 5.63/4.52 tff(23597,plain,
% 5.63/4.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s6)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s6))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s6) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s6))))),
% 5.63/4.52 inference(monotonicity,[status(thm)],[23596])).
% 5.63/4.52 tff(23598,plain,
% 5.63/4.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s6)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s6))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s6) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s6)))),
% 5.63/4.52 inference(transitivity,[status(thm)],[23597, 23595])).
% 5.63/4.52 tff(23599,plain,
% 5.63/4.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s6)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s6))),
% 5.63/4.52 inference(quant_inst,[status(thm)],[])).
% 5.63/4.52 tff(23600,plain,
% 5.63/4.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s6) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s6))),
% 5.63/4.52 inference(modus_ponens,[status(thm)],[23599, 23598])).
% 5.63/4.52 tff(23601,plain,
% 5.63/4.52 ($false),
% 5.63/4.52 inference(unit_resolution,[status(thm)],[23600, 20779, 23594, 21667, 23328, 20769])).
% 5.63/4.52 tff(23602,plain,(~trans(s204, s6)), inference(lemma,lemma(discharge,[]))).
% 5.63/4.52 tff(23603,assumption,(trans(s204, s127)), introduced(assumption)).
% 5.63/4.52 tff(23604,plain,
% 5.63/4.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s127) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s127)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s127) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s127)))),
% 5.63/4.52 inference(rewrite,[status(thm)],[])).
% 5.63/4.52 tff(23605,plain,
% 5.63/4.52 (((~trans(s204, s127)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s127)) <=> (until2p29(s127) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s127)))),
% 5.63/4.52 inference(rewrite,[status(thm)],[])).
% 5.63/4.52 tff(23606,plain,
% 5.63/4.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s127)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s127))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s127) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s127))))),
% 5.63/4.52 inference(monotonicity,[status(thm)],[23605])).
% 5.63/4.52 tff(23607,plain,
% 5.63/4.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s127)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s127))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s127) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s127)))),
% 5.63/4.52 inference(transitivity,[status(thm)],[23606, 23604])).
% 5.63/4.52 tff(23608,plain,
% 5.63/4.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s127)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s127))),
% 5.63/4.52 inference(quant_inst,[status(thm)],[])).
% 5.63/4.52 tff(23609,plain,
% 5.63/4.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s127) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s127))),
% 5.63/4.52 inference(modus_ponens,[status(thm)],[23608, 23607])).
% 5.63/4.52 tff(23610,plain,
% 5.63/4.52 ($false),
% 5.63/4.52 inference(unit_resolution,[status(thm)],[23609, 20779, 23603, 21667, 21577, 20769])).
% 5.63/4.52 tff(23611,plain,(~trans(s204, s127)), inference(lemma,lemma(discharge,[]))).
% 5.63/4.52 tff(23612,assumption,(trans(s204, s30)), introduced(assumption)).
% 5.63/4.52 tff(23613,plain,
% 5.63/4.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s30) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s30)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s30) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s30)))),
% 5.63/4.52 inference(rewrite,[status(thm)],[])).
% 5.63/4.52 tff(23614,plain,
% 5.63/4.52 (((~trans(s204, s30)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s30)) <=> (until2p29(s30) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s30)))),
% 5.63/4.53 inference(rewrite,[status(thm)],[])).
% 5.63/4.53 tff(23615,plain,
% 5.63/4.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s30)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s30))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s30) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s30))))),
% 5.63/4.53 inference(monotonicity,[status(thm)],[23614])).
% 5.63/4.53 tff(23616,plain,
% 5.63/4.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s30)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s30))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s30) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s30)))),
% 5.63/4.53 inference(transitivity,[status(thm)],[23615, 23613])).
% 5.63/4.53 tff(23617,plain,
% 5.63/4.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s30)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s30))),
% 5.63/4.53 inference(quant_inst,[status(thm)],[])).
% 5.63/4.53 tff(23618,plain,
% 5.63/4.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s30) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s30))),
% 5.63/4.53 inference(modus_ponens,[status(thm)],[23617, 23616])).
% 5.63/4.53 tff(23619,plain,
% 5.63/4.53 ($false),
% 5.63/4.53 inference(unit_resolution,[status(thm)],[23618, 20779, 23612, 21667, 22575, 20769])).
% 5.63/4.53 tff(23620,plain,(~trans(s204, s30)), inference(lemma,lemma(discharge,[]))).
% 5.63/4.53 tff(23621,assumption,(trans(s204, s175)), introduced(assumption)).
% 5.63/4.53 tff(23622,plain,
% 5.63/4.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s175) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s175)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s175) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s175)))),
% 5.63/4.53 inference(rewrite,[status(thm)],[])).
% 5.63/4.53 tff(23623,plain,
% 5.63/4.53 (((~trans(s204, s175)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s175)) <=> (until2p29(s175) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s175)))),
% 5.63/4.53 inference(rewrite,[status(thm)],[])).
% 5.63/4.53 tff(23624,plain,
% 5.63/4.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s175)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s175))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s175) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s175))))),
% 5.63/4.53 inference(monotonicity,[status(thm)],[23623])).
% 5.63/4.53 tff(23625,plain,
% 5.63/4.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s175)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s175))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s175) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s175)))),
% 5.63/4.53 inference(transitivity,[status(thm)],[23624, 23622])).
% 5.63/4.53 tff(23626,plain,
% 5.63/4.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s175)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s175))),
% 5.63/4.53 inference(quant_inst,[status(thm)],[])).
% 5.63/4.53 tff(23627,plain,
% 5.63/4.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s175) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s175))),
% 5.63/4.53 inference(modus_ponens,[status(thm)],[23626, 23625])).
% 5.63/4.53 tff(23628,plain,
% 5.63/4.53 ($false),
% 5.63/4.53 inference(unit_resolution,[status(thm)],[23627, 20779, 23621, 21667, 21097, 20769])).
% 5.63/4.53 tff(23629,plain,(~trans(s204, s175)), inference(lemma,lemma(discharge,[]))).
% 5.63/4.53 tff(23630,assumption,(trans(s204, s155)), introduced(assumption)).
% 5.63/4.53 tff(23631,plain,
% 5.63/4.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s155) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s155)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s155) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s155)))),
% 5.63/4.53 inference(rewrite,[status(thm)],[])).
% 5.63/4.53 tff(23632,plain,
% 5.63/4.53 (((~trans(s204, s155)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s155)) <=> (until2p29(s155) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s155)))),
% 5.63/4.53 inference(rewrite,[status(thm)],[])).
% 5.63/4.53 tff(23633,plain,
% 5.63/4.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s155)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s155))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s155) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s155))))),
% 5.63/4.53 inference(monotonicity,[status(thm)],[23632])).
% 5.63/4.53 tff(23634,plain,
% 5.63/4.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s155)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s155))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s155) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s155)))),
% 5.63/4.53 inference(transitivity,[status(thm)],[23633, 23631])).
% 5.63/4.53 tff(23635,plain,
% 5.63/4.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s155)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s155))),
% 5.63/4.53 inference(quant_inst,[status(thm)],[])).
% 5.63/4.53 tff(23636,plain,
% 5.63/4.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s155) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s155))),
% 5.63/4.53 inference(modus_ponens,[status(thm)],[23635, 23634])).
% 5.63/4.53 tff(23637,plain,
% 5.63/4.53 ($false),
% 5.63/4.53 inference(unit_resolution,[status(thm)],[23636, 20779, 23630, 21667, 21297, 20769])).
% 5.63/4.53 tff(23638,plain,(~trans(s204, s155)), inference(lemma,lemma(discharge,[]))).
% 5.63/4.53 tff(23639,assumption,(trans(s204, s122)), introduced(assumption)).
% 5.63/4.53 tff(23640,plain,
% 5.63/4.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s122) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s122)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s122) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s122)))),
% 5.63/4.53 inference(rewrite,[status(thm)],[])).
% 5.63/4.53 tff(23641,plain,
% 5.63/4.53 (((~trans(s204, s122)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s122)) <=> (until2p29(s122) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s122)))),
% 5.63/4.53 inference(rewrite,[status(thm)],[])).
% 5.63/4.53 tff(23642,plain,
% 5.63/4.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s122)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s122))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s122) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s122))))),
% 5.63/4.53 inference(monotonicity,[status(thm)],[23641])).
% 5.63/4.53 tff(23643,plain,
% 5.63/4.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s122)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s122))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s122) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s122)))),
% 5.63/4.53 inference(transitivity,[status(thm)],[23642, 23640])).
% 5.63/4.53 tff(23644,plain,
% 5.63/4.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s122)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s122))),
% 5.63/4.53 inference(quant_inst,[status(thm)],[])).
% 5.63/4.53 tff(23645,plain,
% 5.63/4.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s122) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s122))),
% 5.63/4.53 inference(modus_ponens,[status(thm)],[23644, 23643])).
% 5.63/4.53 tff(23646,plain,
% 5.63/4.53 ($false),
% 5.63/4.53 inference(unit_resolution,[status(thm)],[23645, 20779, 23639, 21667, 21627, 20769])).
% 5.63/4.53 tff(23647,plain,(~trans(s204, s122)), inference(lemma,lemma(discharge,[]))).
% 5.63/4.53 tff(23648,assumption,(trans(s204, s191)), introduced(assumption)).
% 5.63/4.53 tff(23649,plain,
% 5.63/4.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s191) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s191)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s191) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s191)))),
% 5.63/4.53 inference(rewrite,[status(thm)],[])).
% 5.63/4.53 tff(23650,plain,
% 5.63/4.53 (((~trans(s204, s191)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s191)) <=> (until2p29(s191) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s191)))),
% 5.63/4.53 inference(rewrite,[status(thm)],[])).
% 5.63/4.53 tff(23651,plain,
% 5.63/4.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s191)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s191))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s191) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s191))))),
% 5.63/4.53 inference(monotonicity,[status(thm)],[23650])).
% 5.63/4.53 tff(23652,plain,
% 5.63/4.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s191)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s191))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s191) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s191)))),
% 5.63/4.53 inference(transitivity,[status(thm)],[23651, 23649])).
% 5.63/4.53 tff(23653,plain,
% 5.63/4.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s191)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s191))),
% 5.63/4.53 inference(quant_inst,[status(thm)],[])).
% 5.63/4.53 tff(23654,plain,
% 5.63/4.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s191) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s191))),
% 5.63/4.53 inference(modus_ponens,[status(thm)],[23653, 23652])).
% 5.63/4.53 tff(23655,plain,
% 5.63/4.53 ($false),
% 5.63/4.53 inference(unit_resolution,[status(thm)],[23654, 20779, 23648, 21667, 20937, 20769])).
% 5.63/4.53 tff(23656,plain,(~trans(s204, s191)), inference(lemma,lemma(discharge,[]))).
% 5.63/4.53 tff(23657,assumption,(trans(s204, s63)), introduced(assumption)).
% 5.63/4.53 tff(23658,plain,
% 5.63/4.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s63) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s63)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s63) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s63)))),
% 5.63/4.53 inference(rewrite,[status(thm)],[])).
% 5.63/4.53 tff(23659,plain,
% 5.63/4.53 (((~trans(s204, s63)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s63)) <=> (until2p29(s63) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s63)))),
% 5.63/4.53 inference(rewrite,[status(thm)],[])).
% 5.63/4.53 tff(23660,plain,
% 5.63/4.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s63)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s63))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s63) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s63))))),
% 5.63/4.53 inference(monotonicity,[status(thm)],[23659])).
% 5.63/4.53 tff(23661,plain,
% 5.63/4.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s63)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s63))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s63) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s63)))),
% 5.63/4.53 inference(transitivity,[status(thm)],[23660, 23658])).
% 5.63/4.53 tff(23662,plain,
% 5.63/4.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s63)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s63))),
% 5.63/4.53 inference(quant_inst,[status(thm)],[])).
% 5.63/4.53 tff(23663,plain,
% 5.63/4.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s63) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s63))),
% 5.63/4.53 inference(modus_ponens,[status(thm)],[23662, 23661])).
% 5.63/4.53 tff(23664,plain,
% 5.63/4.53 ($false),
% 5.63/4.53 inference(unit_resolution,[status(thm)],[23663, 20779, 23657, 21667, 22245, 20769])).
% 5.63/4.53 tff(23665,plain,(~trans(s204, s63)), inference(lemma,lemma(discharge,[]))).
% 5.63/4.53 tff(23666,assumption,(trans(s204, s26)), introduced(assumption)).
% 5.63/4.53 tff(23667,plain,
% 5.63/4.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s26) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s26)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s26) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s26)))),
% 5.63/4.53 inference(rewrite,[status(thm)],[])).
% 5.63/4.53 tff(23668,plain,
% 5.63/4.53 (((~trans(s204, s26)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s26)) <=> (until2p29(s26) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s26)))),
% 5.63/4.53 inference(rewrite,[status(thm)],[])).
% 5.63/4.53 tff(23669,plain,
% 5.63/4.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s26)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s26))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s26) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s26))))),
% 5.63/4.53 inference(monotonicity,[status(thm)],[23668])).
% 5.63/4.53 tff(23670,plain,
% 5.63/4.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s26)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s26))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s26) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s26)))),
% 5.63/4.53 inference(transitivity,[status(thm)],[23669, 23667])).
% 5.63/4.53 tff(23671,plain,
% 5.63/4.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s26)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s26))),
% 5.63/4.53 inference(quant_inst,[status(thm)],[])).
% 5.63/4.53 tff(23672,plain,
% 5.63/4.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s26) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s26))),
% 5.63/4.53 inference(modus_ponens,[status(thm)],[23671, 23670])).
% 5.63/4.53 tff(23673,plain,
% 5.63/4.53 ($false),
% 5.63/4.53 inference(unit_resolution,[status(thm)],[23672, 20779, 23666, 21667, 22615, 20769])).
% 5.63/4.53 tff(23674,plain,(~trans(s204, s26)), inference(lemma,lemma(discharge,[]))).
% 5.63/4.53 tff(23675,assumption,(trans(s204, s107)), introduced(assumption)).
% 5.63/4.53 tff(23676,plain,
% 5.63/4.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s107) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s107)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s107) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s107)))),
% 5.63/4.53 inference(rewrite,[status(thm)],[])).
% 5.63/4.53 tff(23677,plain,
% 5.63/4.53 (((~trans(s204, s107)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s107)) <=> (until2p29(s107) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s107)))),
% 5.63/4.53 inference(rewrite,[status(thm)],[])).
% 5.63/4.53 tff(23678,plain,
% 5.63/4.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s107)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s107))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s107) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s107))))),
% 5.63/4.53 inference(monotonicity,[status(thm)],[23677])).
% 5.63/4.53 tff(23679,plain,
% 5.63/4.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s107)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s107))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s107) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s107)))),
% 5.63/4.53 inference(transitivity,[status(thm)],[23678, 23676])).
% 5.63/4.53 tff(23680,plain,
% 5.63/4.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s107)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s107))),
% 5.63/4.53 inference(quant_inst,[status(thm)],[])).
% 5.63/4.53 tff(23681,plain,
% 5.63/4.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s107) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s107))),
% 5.63/4.53 inference(modus_ponens,[status(thm)],[23680, 23679])).
% 5.63/4.53 tff(23682,plain,
% 5.63/4.53 ($false),
% 5.63/4.53 inference(unit_resolution,[status(thm)],[23681, 20779, 23675, 21667, 21796, 20769])).
% 5.63/4.53 tff(23683,plain,(~trans(s204, s107)), inference(lemma,lemma(discharge,[]))).
% 5.63/4.53 tff(23684,plain,
% 5.63/4.53 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s1, s2)) | until2p29(s2) | (~xuntil2p30(s1)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s1, s2)) | until2p29(s2) | (~xuntil2p30(s1)))),
% 5.63/4.53 inference(rewrite,[status(thm)],[])).
% 5.63/4.53 tff(23685,plain,
% 5.63/4.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s1, s2)) | until2p29(s2) | (~xuntil2p30(s1)))),
% 5.63/4.53 inference(quant_inst,[status(thm)],[])).
% 5.63/4.53 tff(23686,plain,
% 5.63/4.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s1, s2)) | until2p29(s2) | (~xuntil2p30(s1))),
% 5.63/4.53 inference(modus_ponens,[status(thm)],[23685, 23684])).
% 5.63/4.53 tff(23687,plain,
% 5.63/4.53 (until2p29(s2) | (~xuntil2p30(s1))),
% 5.63/4.53 inference(unit_resolution,[status(thm)],[23686, 278, 20808])).
% 5.63/4.53 tff(23688,plain,
% 5.63/4.53 (~xuntil2p30(s1)),
% 5.63/4.53 inference(unit_resolution,[status(thm)],[23687, 23368])).
% 5.63/4.53 tff(23689,plain,
% 5.63/4.53 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s1) | xuntil2p30(s1) | (~until2p29(s1)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s1) | xuntil2p30(s1) | (~until2p29(s1)))),
% 5.63/4.53 inference(rewrite,[status(thm)],[])).
% 5.63/4.53 tff(23690,plain,
% 5.63/4.53 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s1) | xuntil2p30(s1) | (~until2p29(s1)))),
% 5.63/4.53 inference(quant_inst,[status(thm)],[])).
% 5.63/4.53 tff(23691,plain,
% 5.63/4.53 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s1) | xuntil2p30(s1) | (~until2p29(s1))),
% 5.63/4.53 inference(modus_ponens,[status(thm)],[23690, 23689])).
% 5.63/4.53 tff(23692,plain,
% 5.63/4.53 (xuntil2p30(s1) | (~until2p29(s1))),
% 5.63/4.53 inference(unit_resolution,[status(thm)],[23691, 20793, 17975])).
% 5.63/4.53 tff(23693,plain,
% 5.63/4.53 (~until2p29(s1)),
% 5.63/4.53 inference(unit_resolution,[status(thm)],[23692, 23688])).
% 5.63/4.53 tff(23694,assumption,(trans(s204, s1)), introduced(assumption)).
% 5.63/4.53 tff(23695,plain,
% 5.63/4.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s1) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s1)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s1) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s1)))),
% 5.63/4.53 inference(rewrite,[status(thm)],[])).
% 5.63/4.53 tff(23696,plain,
% 5.63/4.53 (((~trans(s204, s1)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s1)) <=> (until2p29(s1) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s1)))),
% 5.63/4.53 inference(rewrite,[status(thm)],[])).
% 5.63/4.53 tff(23697,plain,
% 5.63/4.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s1)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s1))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s1) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s1))))),
% 5.63/4.53 inference(monotonicity,[status(thm)],[23696])).
% 5.63/4.53 tff(23698,plain,
% 5.63/4.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s1)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s1))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s1) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s1)))),
% 5.63/4.53 inference(transitivity,[status(thm)],[23697, 23695])).
% 5.63/4.53 tff(23699,plain,
% 5.63/4.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s1)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s1))),
% 5.63/4.53 inference(quant_inst,[status(thm)],[])).
% 5.63/4.53 tff(23700,plain,
% 5.63/4.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s1) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s1))),
% 5.63/4.53 inference(modus_ponens,[status(thm)],[23699, 23698])).
% 5.63/4.53 tff(23701,plain,
% 5.63/4.53 ($false),
% 5.63/4.53 inference(unit_resolution,[status(thm)],[23700, 20779, 23694, 21667, 23693, 20769])).
% 5.63/4.53 tff(23702,plain,(~trans(s204, s1)), inference(lemma,lemma(discharge,[]))).
% 5.63/4.53 tff(23703,assumption,(trans(s204, s124)), introduced(assumption)).
% 5.63/4.53 tff(23704,plain,
% 5.63/4.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s124) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s124)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s124) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s124)))),
% 5.63/4.53 inference(rewrite,[status(thm)],[])).
% 5.63/4.53 tff(23705,plain,
% 5.63/4.53 (((~trans(s204, s124)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s124)) <=> (until2p29(s124) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s124)))),
% 5.63/4.53 inference(rewrite,[status(thm)],[])).
% 5.63/4.53 tff(23706,plain,
% 5.63/4.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s124)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s124))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s124) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s124))))),
% 5.63/4.53 inference(monotonicity,[status(thm)],[23705])).
% 5.63/4.53 tff(23707,plain,
% 5.63/4.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s124)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s124))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s124) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s124)))),
% 5.63/4.53 inference(transitivity,[status(thm)],[23706, 23704])).
% 5.63/4.53 tff(23708,plain,
% 5.63/4.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s124)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s124))),
% 5.63/4.53 inference(quant_inst,[status(thm)],[])).
% 5.63/4.53 tff(23709,plain,
% 5.63/4.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s124) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s124))),
% 5.63/4.53 inference(modus_ponens,[status(thm)],[23708, 23707])).
% 5.63/4.53 tff(23710,plain,
% 5.63/4.53 ($false),
% 5.63/4.53 inference(unit_resolution,[status(thm)],[23709, 20779, 23703, 21667, 21607, 20769])).
% 5.63/4.53 tff(23711,plain,(~trans(s204, s124)), inference(lemma,lemma(discharge,[]))).
% 5.63/4.53 tff(23712,assumption,(trans(s204, s110)), introduced(assumption)).
% 5.63/4.53 tff(23713,plain,
% 5.63/4.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s110) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s110)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s110) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s110)))),
% 5.63/4.53 inference(rewrite,[status(thm)],[])).
% 5.63/4.53 tff(23714,plain,
% 5.63/4.53 (((~trans(s204, s110)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s110)) <=> (until2p29(s110) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s110)))),
% 5.63/4.53 inference(rewrite,[status(thm)],[])).
% 5.63/4.53 tff(23715,plain,
% 5.63/4.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s110)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s110))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s110) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s110))))),
% 5.63/4.53 inference(monotonicity,[status(thm)],[23714])).
% 5.63/4.53 tff(23716,plain,
% 5.63/4.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s110)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s110))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s110) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s110)))),
% 5.63/4.53 inference(transitivity,[status(thm)],[23715, 23713])).
% 5.63/4.53 tff(23717,plain,
% 5.63/4.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s110)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s110))),
% 5.69/4.53 inference(quant_inst,[status(thm)],[])).
% 5.69/4.53 tff(23718,plain,
% 5.69/4.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s110) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s110))),
% 5.69/4.53 inference(modus_ponens,[status(thm)],[23717, 23716])).
% 5.69/4.53 tff(23719,plain,
% 5.69/4.53 ($false),
% 5.69/4.53 inference(unit_resolution,[status(thm)],[23718, 20779, 23712, 21667, 21766, 20769])).
% 5.69/4.53 tff(23720,plain,(~trans(s204, s110)), inference(lemma,lemma(discharge,[]))).
% 5.69/4.53 tff(23721,assumption,(trans(s204, s67)), introduced(assumption)).
% 5.69/4.53 tff(23722,plain,
% 5.69/4.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s67) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s67)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s67) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s67)))),
% 5.69/4.53 inference(rewrite,[status(thm)],[])).
% 5.69/4.53 tff(23723,plain,
% 5.69/4.53 (((~trans(s204, s67)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s67)) <=> (until2p29(s67) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s67)))),
% 5.69/4.53 inference(rewrite,[status(thm)],[])).
% 5.69/4.53 tff(23724,plain,
% 5.69/4.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s67)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s67))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s67) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s67))))),
% 5.69/4.53 inference(monotonicity,[status(thm)],[23723])).
% 5.69/4.53 tff(23725,plain,
% 5.69/4.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s67)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s67))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s67) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s67)))),
% 5.69/4.53 inference(transitivity,[status(thm)],[23724, 23722])).
% 5.69/4.53 tff(23726,plain,
% 5.69/4.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s67)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s67))),
% 5.69/4.53 inference(quant_inst,[status(thm)],[])).
% 5.69/4.53 tff(23727,plain,
% 5.69/4.53 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s67) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s67))),
% 5.69/4.53 inference(modus_ponens,[status(thm)],[23726, 23725])).
% 5.69/4.53 tff(23728,plain,
% 5.69/4.53 ($false),
% 5.69/4.53 inference(unit_resolution,[status(thm)],[23727, 20779, 23721, 21667, 22205, 20769])).
% 5.69/4.53 tff(23729,plain,(~trans(s204, s67)), inference(lemma,lemma(discharge,[]))).
% 5.69/4.53 tff(23730,assumption,(trans(s204, s66)), introduced(assumption)).
% 5.69/4.53 tff(23731,plain,
% 5.69/4.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s66) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s66)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s66) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s66)))),
% 5.69/4.53 inference(rewrite,[status(thm)],[])).
% 5.69/4.53 tff(23732,plain,
% 5.69/4.53 (((~trans(s204, s66)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s66)) <=> (until2p29(s66) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s66)))),
% 5.69/4.53 inference(rewrite,[status(thm)],[])).
% 5.69/4.53 tff(23733,plain,
% 5.69/4.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s66)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s66))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s66) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s66))))),
% 5.69/4.53 inference(monotonicity,[status(thm)],[23732])).
% 5.69/4.53 tff(23734,plain,
% 5.69/4.53 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s66)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s66))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s66) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s66)))),
% 5.69/4.54 inference(transitivity,[status(thm)],[23733, 23731])).
% 5.69/4.54 tff(23735,plain,
% 5.69/4.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s66)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s66))),
% 5.69/4.54 inference(quant_inst,[status(thm)],[])).
% 5.69/4.54 tff(23736,plain,
% 5.69/4.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s66) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s66))),
% 5.69/4.54 inference(modus_ponens,[status(thm)],[23735, 23734])).
% 5.69/4.54 tff(23737,plain,
% 5.69/4.54 ($false),
% 5.69/4.54 inference(unit_resolution,[status(thm)],[23736, 20779, 23730, 21667, 22215, 20769])).
% 5.69/4.54 tff(23738,plain,(~trans(s204, s66)), inference(lemma,lemma(discharge,[]))).
% 5.69/4.54 tff(23739,assumption,(trans(s204, s38)), introduced(assumption)).
% 5.69/4.54 tff(23740,plain,
% 5.69/4.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s38) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s38)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s38) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s38)))),
% 5.69/4.54 inference(rewrite,[status(thm)],[])).
% 5.69/4.54 tff(23741,plain,
% 5.69/4.54 (((~trans(s204, s38)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s38)) <=> (until2p29(s38) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s38)))),
% 5.69/4.54 inference(rewrite,[status(thm)],[])).
% 5.69/4.54 tff(23742,plain,
% 5.69/4.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s38)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s38))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s38) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s38))))),
% 5.69/4.54 inference(monotonicity,[status(thm)],[23741])).
% 5.69/4.54 tff(23743,plain,
% 5.69/4.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s38)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s38))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s38) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s38)))),
% 5.69/4.54 inference(transitivity,[status(thm)],[23742, 23740])).
% 5.69/4.54 tff(23744,plain,
% 5.69/4.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s38)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s38))),
% 5.69/4.54 inference(quant_inst,[status(thm)],[])).
% 5.69/4.54 tff(23745,plain,
% 5.69/4.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s38) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s38))),
% 5.69/4.54 inference(modus_ponens,[status(thm)],[23744, 23743])).
% 5.69/4.54 tff(23746,plain,
% 5.69/4.54 ($false),
% 5.69/4.54 inference(unit_resolution,[status(thm)],[23745, 20779, 23739, 21667, 22495, 20769])).
% 5.69/4.54 tff(23747,plain,(~trans(s204, s38)), inference(lemma,lemma(discharge,[]))).
% 5.69/4.54 tff(23748,assumption,(trans(s204, s167)), introduced(assumption)).
% 5.69/4.54 tff(23749,plain,
% 5.69/4.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s167) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s167)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s167) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s167)))),
% 5.69/4.54 inference(rewrite,[status(thm)],[])).
% 5.69/4.54 tff(23750,plain,
% 5.69/4.54 (((~trans(s204, s167)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s167)) <=> (until2p29(s167) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s167)))),
% 5.69/4.54 inference(rewrite,[status(thm)],[])).
% 5.69/4.54 tff(23751,plain,
% 5.69/4.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s167)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s167))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s167) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s167))))),
% 5.69/4.54 inference(monotonicity,[status(thm)],[23750])).
% 5.69/4.54 tff(23752,plain,
% 5.69/4.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s167)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s167))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s167) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s167)))),
% 5.69/4.54 inference(transitivity,[status(thm)],[23751, 23749])).
% 5.69/4.54 tff(23753,plain,
% 5.69/4.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s167)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s167))),
% 5.69/4.54 inference(quant_inst,[status(thm)],[])).
% 5.69/4.54 tff(23754,plain,
% 5.69/4.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s167) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s167))),
% 5.69/4.54 inference(modus_ponens,[status(thm)],[23753, 23752])).
% 5.69/4.54 tff(23755,plain,
% 5.69/4.54 ($false),
% 5.69/4.54 inference(unit_resolution,[status(thm)],[23754, 20779, 23748, 21667, 21177, 20769])).
% 5.69/4.54 tff(23756,plain,(~trans(s204, s167)), inference(lemma,lemma(discharge,[]))).
% 5.69/4.54 tff(23757,assumption,(trans(s204, s135)), introduced(assumption)).
% 5.69/4.54 tff(23758,plain,
% 5.69/4.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s135) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s135)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s135) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s135)))),
% 5.69/4.54 inference(rewrite,[status(thm)],[])).
% 5.69/4.54 tff(23759,plain,
% 5.69/4.54 (((~trans(s204, s135)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s135)) <=> (until2p29(s135) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s135)))),
% 5.69/4.54 inference(rewrite,[status(thm)],[])).
% 5.69/4.54 tff(23760,plain,
% 5.69/4.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s135)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s135))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s135) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s135))))),
% 5.69/4.54 inference(monotonicity,[status(thm)],[23759])).
% 5.69/4.54 tff(23761,plain,
% 5.69/4.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s135)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s135))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s135) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s135)))),
% 5.69/4.54 inference(transitivity,[status(thm)],[23760, 23758])).
% 5.69/4.54 tff(23762,plain,
% 5.69/4.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s135)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s135))),
% 5.69/4.54 inference(quant_inst,[status(thm)],[])).
% 5.69/4.54 tff(23763,plain,
% 5.69/4.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s135) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s135))),
% 5.69/4.54 inference(modus_ponens,[status(thm)],[23762, 23761])).
% 5.69/4.54 tff(23764,plain,
% 5.69/4.54 ($false),
% 5.69/4.54 inference(unit_resolution,[status(thm)],[23763, 20779, 23757, 21667, 21497, 20769])).
% 5.69/4.54 tff(23765,plain,(~trans(s204, s135)), inference(lemma,lemma(discharge,[]))).
% 5.69/4.54 tff(23766,assumption,(trans(s204, s137)), introduced(assumption)).
% 5.69/4.54 tff(23767,plain,
% 5.69/4.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s137) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s137)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s137) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s137)))),
% 5.69/4.54 inference(rewrite,[status(thm)],[])).
% 5.69/4.54 tff(23768,plain,
% 5.69/4.54 (((~trans(s204, s137)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s137)) <=> (until2p29(s137) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s137)))),
% 5.69/4.54 inference(rewrite,[status(thm)],[])).
% 5.69/4.54 tff(23769,plain,
% 5.69/4.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s137)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s137))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s137) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s137))))),
% 5.69/4.54 inference(monotonicity,[status(thm)],[23768])).
% 5.69/4.54 tff(23770,plain,
% 5.69/4.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s137)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s137))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s137) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s137)))),
% 5.69/4.54 inference(transitivity,[status(thm)],[23769, 23767])).
% 5.69/4.54 tff(23771,plain,
% 5.69/4.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s137)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s137))),
% 5.69/4.54 inference(quant_inst,[status(thm)],[])).
% 5.69/4.54 tff(23772,plain,
% 5.69/4.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s137) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s137))),
% 5.69/4.54 inference(modus_ponens,[status(thm)],[23771, 23770])).
% 5.69/4.54 tff(23773,plain,
% 5.69/4.54 ($false),
% 5.69/4.54 inference(unit_resolution,[status(thm)],[23772, 20779, 23766, 21667, 21477, 20769])).
% 5.69/4.54 tff(23774,plain,(~trans(s204, s137)), inference(lemma,lemma(discharge,[]))).
% 5.69/4.54 tff(23775,assumption,(trans(s204, s34)), introduced(assumption)).
% 5.69/4.54 tff(23776,plain,
% 5.69/4.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s34) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s34)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s34) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s34)))),
% 5.69/4.54 inference(rewrite,[status(thm)],[])).
% 5.69/4.54 tff(23777,plain,
% 5.69/4.54 (((~trans(s204, s34)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s34)) <=> (until2p29(s34) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s34)))),
% 5.69/4.54 inference(rewrite,[status(thm)],[])).
% 5.69/4.54 tff(23778,plain,
% 5.69/4.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s34)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s34))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s34) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s34))))),
% 5.69/4.54 inference(monotonicity,[status(thm)],[23777])).
% 5.69/4.54 tff(23779,plain,
% 5.69/4.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s34)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s34))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s34) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s34)))),
% 5.69/4.54 inference(transitivity,[status(thm)],[23778, 23776])).
% 5.69/4.54 tff(23780,plain,
% 5.69/4.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s34)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s34))),
% 5.69/4.54 inference(quant_inst,[status(thm)],[])).
% 5.69/4.54 tff(23781,plain,
% 5.69/4.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s34) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s34))),
% 5.69/4.54 inference(modus_ponens,[status(thm)],[23780, 23779])).
% 5.69/4.54 tff(23782,plain,
% 5.69/4.54 ($false),
% 5.69/4.54 inference(unit_resolution,[status(thm)],[23781, 20779, 23775, 21667, 22535, 20769])).
% 5.69/4.54 tff(23783,plain,(~trans(s204, s34)), inference(lemma,lemma(discharge,[]))).
% 5.69/4.54 tff(23784,assumption,(trans(s204, s64)), introduced(assumption)).
% 5.69/4.54 tff(23785,plain,
% 5.69/4.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s64) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s64)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s64) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s64)))),
% 5.69/4.54 inference(rewrite,[status(thm)],[])).
% 5.69/4.54 tff(23786,plain,
% 5.69/4.54 (((~trans(s204, s64)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s64)) <=> (until2p29(s64) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s64)))),
% 5.69/4.54 inference(rewrite,[status(thm)],[])).
% 5.69/4.54 tff(23787,plain,
% 5.69/4.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s64)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s64))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s64) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s64))))),
% 5.69/4.54 inference(monotonicity,[status(thm)],[23786])).
% 5.69/4.54 tff(23788,plain,
% 5.69/4.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s64)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s64))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s64) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s64)))),
% 5.69/4.54 inference(transitivity,[status(thm)],[23787, 23785])).
% 5.69/4.54 tff(23789,plain,
% 5.69/4.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s64)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s64))),
% 5.69/4.54 inference(quant_inst,[status(thm)],[])).
% 5.69/4.54 tff(23790,plain,
% 5.69/4.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s64) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s64))),
% 5.69/4.54 inference(modus_ponens,[status(thm)],[23789, 23788])).
% 5.69/4.54 tff(23791,plain,
% 5.69/4.54 ($false),
% 5.69/4.54 inference(unit_resolution,[status(thm)],[23790, 20779, 23784, 21667, 22235, 20769])).
% 5.69/4.54 tff(23792,plain,(~trans(s204, s64)), inference(lemma,lemma(discharge,[]))).
% 5.69/4.54 tff(23793,assumption,(trans(s204, s138)), introduced(assumption)).
% 5.69/4.54 tff(23794,plain,
% 5.69/4.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s138) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s138)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s138) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s138)))),
% 5.69/4.54 inference(rewrite,[status(thm)],[])).
% 5.69/4.54 tff(23795,plain,
% 5.69/4.54 (((~trans(s204, s138)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s138)) <=> (until2p29(s138) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s138)))),
% 5.69/4.54 inference(rewrite,[status(thm)],[])).
% 5.69/4.54 tff(23796,plain,
% 5.69/4.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s138)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s138))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s138) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s138))))),
% 5.69/4.54 inference(monotonicity,[status(thm)],[23795])).
% 5.69/4.54 tff(23797,plain,
% 5.69/4.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s138)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s138))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s138) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s138)))),
% 5.69/4.54 inference(transitivity,[status(thm)],[23796, 23794])).
% 5.69/4.54 tff(23798,plain,
% 5.69/4.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s138)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s138))),
% 5.69/4.54 inference(quant_inst,[status(thm)],[])).
% 5.69/4.54 tff(23799,plain,
% 5.69/4.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s138) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s138))),
% 5.69/4.54 inference(modus_ponens,[status(thm)],[23798, 23797])).
% 5.69/4.54 tff(23800,plain,
% 5.69/4.54 ($false),
% 5.69/4.54 inference(unit_resolution,[status(thm)],[23799, 20779, 23793, 21667, 21467, 20769])).
% 5.69/4.54 tff(23801,plain,(~trans(s204, s138)), inference(lemma,lemma(discharge,[]))).
% 5.69/4.54 tff(23802,assumption,(trans(s204, s196)), introduced(assumption)).
% 5.69/4.54 tff(23803,plain,
% 5.69/4.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s196) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s196)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s196) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s196)))),
% 5.69/4.54 inference(rewrite,[status(thm)],[])).
% 5.69/4.54 tff(23804,plain,
% 5.69/4.54 (((~trans(s204, s196)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s196)) <=> (until2p29(s196) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s196)))),
% 5.69/4.54 inference(rewrite,[status(thm)],[])).
% 5.69/4.54 tff(23805,plain,
% 5.69/4.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s196)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s196))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s196) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s196))))),
% 5.69/4.54 inference(monotonicity,[status(thm)],[23804])).
% 5.69/4.54 tff(23806,plain,
% 5.69/4.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s196)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s196))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s196) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s196)))),
% 5.69/4.54 inference(transitivity,[status(thm)],[23805, 23803])).
% 5.69/4.54 tff(23807,plain,
% 5.69/4.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s196)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s196))),
% 5.69/4.54 inference(quant_inst,[status(thm)],[])).
% 5.69/4.54 tff(23808,plain,
% 5.69/4.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s196) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s196))),
% 5.69/4.54 inference(modus_ponens,[status(thm)],[23807, 23806])).
% 5.69/4.54 tff(23809,plain,
% 5.69/4.54 ($false),
% 5.69/4.54 inference(unit_resolution,[status(thm)],[23808, 20779, 23802, 21667, 20887, 20769])).
% 5.69/4.54 tff(23810,plain,(~trans(s204, s196)), inference(lemma,lemma(discharge,[]))).
% 5.69/4.54 tff(23811,assumption,(trans(s204, s157)), introduced(assumption)).
% 5.69/4.54 tff(23812,plain,
% 5.69/4.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s157) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s157)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s157) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s157)))),
% 5.69/4.54 inference(rewrite,[status(thm)],[])).
% 5.69/4.54 tff(23813,plain,
% 5.69/4.54 (((~trans(s204, s157)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s157)) <=> (until2p29(s157) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s157)))),
% 5.69/4.54 inference(rewrite,[status(thm)],[])).
% 5.69/4.54 tff(23814,plain,
% 5.69/4.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s157)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s157))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s157) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s157))))),
% 5.69/4.54 inference(monotonicity,[status(thm)],[23813])).
% 5.69/4.54 tff(23815,plain,
% 5.69/4.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s157)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s157))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s157) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s157)))),
% 5.69/4.54 inference(transitivity,[status(thm)],[23814, 23812])).
% 5.69/4.54 tff(23816,plain,
% 5.69/4.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s157)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s157))),
% 5.69/4.54 inference(quant_inst,[status(thm)],[])).
% 5.69/4.54 tff(23817,plain,
% 5.69/4.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s157) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s157))),
% 5.69/4.54 inference(modus_ponens,[status(thm)],[23816, 23815])).
% 5.69/4.54 tff(23818,plain,
% 5.69/4.54 ($false),
% 5.69/4.54 inference(unit_resolution,[status(thm)],[23817, 20779, 23811, 21667, 21277, 20769])).
% 5.69/4.54 tff(23819,plain,(~trans(s204, s157)), inference(lemma,lemma(discharge,[]))).
% 5.69/4.54 tff(23820,assumption,(trans(s204, s36)), introduced(assumption)).
% 5.69/4.54 tff(23821,plain,
% 5.69/4.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s36) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s36)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s36) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s36)))),
% 5.69/4.54 inference(rewrite,[status(thm)],[])).
% 5.69/4.54 tff(23822,plain,
% 5.69/4.54 (((~trans(s204, s36)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s36)) <=> (until2p29(s36) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s36)))),
% 5.69/4.54 inference(rewrite,[status(thm)],[])).
% 5.69/4.54 tff(23823,plain,
% 5.69/4.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s36)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s36))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s36) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s36))))),
% 5.69/4.54 inference(monotonicity,[status(thm)],[23822])).
% 5.69/4.54 tff(23824,plain,
% 5.69/4.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s36)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s36))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s36) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s36)))),
% 5.69/4.54 inference(transitivity,[status(thm)],[23823, 23821])).
% 5.69/4.54 tff(23825,plain,
% 5.69/4.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s36)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s36))),
% 5.69/4.54 inference(quant_inst,[status(thm)],[])).
% 5.69/4.54 tff(23826,plain,
% 5.69/4.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s36) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s36))),
% 5.69/4.54 inference(modus_ponens,[status(thm)],[23825, 23824])).
% 5.69/4.54 tff(23827,plain,
% 5.69/4.54 ($false),
% 5.69/4.54 inference(unit_resolution,[status(thm)],[23826, 20779, 23820, 21667, 22515, 20769])).
% 5.69/4.54 tff(23828,plain,(~trans(s204, s36)), inference(lemma,lemma(discharge,[]))).
% 5.69/4.54 tff(23829,assumption,(trans(s204, s115)), introduced(assumption)).
% 5.69/4.54 tff(23830,plain,
% 5.69/4.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s115) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s115)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s115) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s115)))),
% 5.69/4.54 inference(rewrite,[status(thm)],[])).
% 5.69/4.54 tff(23831,plain,
% 5.69/4.54 (((~trans(s204, s115)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s115)) <=> (until2p29(s115) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s115)))),
% 5.69/4.54 inference(rewrite,[status(thm)],[])).
% 5.69/4.54 tff(23832,plain,
% 5.69/4.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s115)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s115))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s115) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s115))))),
% 5.69/4.54 inference(monotonicity,[status(thm)],[23831])).
% 5.69/4.54 tff(23833,plain,
% 5.69/4.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s115)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s115))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s115) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s115)))),
% 5.69/4.54 inference(transitivity,[status(thm)],[23832, 23830])).
% 5.69/4.54 tff(23834,plain,
% 5.69/4.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s115)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s115))),
% 5.69/4.54 inference(quant_inst,[status(thm)],[])).
% 5.69/4.54 tff(23835,plain,
% 5.69/4.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s115) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s115))),
% 5.69/4.54 inference(modus_ponens,[status(thm)],[23834, 23833])).
% 5.69/4.54 tff(23836,plain,
% 5.69/4.54 ($false),
% 5.69/4.54 inference(unit_resolution,[status(thm)],[23835, 20779, 23829, 21667, 21716, 20769])).
% 5.69/4.54 tff(23837,plain,(~trans(s204, s115)), inference(lemma,lemma(discharge,[]))).
% 5.69/4.54 tff(23838,assumption,(trans(s204, s159)), introduced(assumption)).
% 5.69/4.54 tff(23839,plain,
% 5.69/4.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s159) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s159)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s159) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s159)))),
% 5.69/4.54 inference(rewrite,[status(thm)],[])).
% 5.69/4.54 tff(23840,plain,
% 5.69/4.54 (((~trans(s204, s159)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s159)) <=> (until2p29(s159) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s159)))),
% 5.69/4.54 inference(rewrite,[status(thm)],[])).
% 5.69/4.54 tff(23841,plain,
% 5.69/4.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s159)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s159))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s159) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s159))))),
% 5.69/4.54 inference(monotonicity,[status(thm)],[23840])).
% 5.69/4.54 tff(23842,plain,
% 5.69/4.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s159)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s159))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s159) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s159)))),
% 5.69/4.54 inference(transitivity,[status(thm)],[23841, 23839])).
% 5.69/4.54 tff(23843,plain,
% 5.69/4.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s159)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s159))),
% 5.69/4.54 inference(quant_inst,[status(thm)],[])).
% 5.69/4.54 tff(23844,plain,
% 5.69/4.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s159) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s159))),
% 5.69/4.54 inference(modus_ponens,[status(thm)],[23843, 23842])).
% 5.69/4.54 tff(23845,plain,
% 5.69/4.54 ($false),
% 5.69/4.54 inference(unit_resolution,[status(thm)],[23844, 20779, 23838, 21667, 21257, 20769])).
% 5.69/4.54 tff(23846,plain,(~trans(s204, s159)), inference(lemma,lemma(discharge,[]))).
% 5.69/4.54 tff(23847,assumption,(trans(s204, s148)), introduced(assumption)).
% 5.69/4.54 tff(23848,plain,
% 5.69/4.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s148) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s148)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s148) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s148)))),
% 5.69/4.54 inference(rewrite,[status(thm)],[])).
% 5.69/4.54 tff(23849,plain,
% 5.69/4.54 (((~trans(s204, s148)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s148)) <=> (until2p29(s148) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s148)))),
% 5.69/4.54 inference(rewrite,[status(thm)],[])).
% 5.69/4.54 tff(23850,plain,
% 5.69/4.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s148)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s148))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s148) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s148))))),
% 5.69/4.54 inference(monotonicity,[status(thm)],[23849])).
% 5.69/4.54 tff(23851,plain,
% 5.69/4.54 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s148)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s148))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s148) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s148)))),
% 5.69/4.54 inference(transitivity,[status(thm)],[23850, 23848])).
% 5.69/4.54 tff(23852,plain,
% 5.69/4.54 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s148)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s148))),
% 5.69/4.54 inference(quant_inst,[status(thm)],[])).
% 5.69/4.55 tff(23853,plain,
% 5.69/4.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s148) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s148))),
% 5.69/4.55 inference(modus_ponens,[status(thm)],[23852, 23851])).
% 5.69/4.55 tff(23854,plain,
% 5.69/4.55 ($false),
% 5.69/4.55 inference(unit_resolution,[status(thm)],[23853, 20779, 23847, 21667, 21367, 20769])).
% 5.69/4.55 tff(23855,plain,(~trans(s204, s148)), inference(lemma,lemma(discharge,[]))).
% 5.69/4.55 tff(23856,assumption,(trans(s204, s100)), introduced(assumption)).
% 5.69/4.55 tff(23857,plain,
% 5.69/4.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s100) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s100)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s100) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s100)))),
% 5.69/4.55 inference(rewrite,[status(thm)],[])).
% 5.69/4.55 tff(23858,plain,
% 5.69/4.55 (((~trans(s204, s100)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s100)) <=> (until2p29(s100) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s100)))),
% 5.69/4.55 inference(rewrite,[status(thm)],[])).
% 5.69/4.55 tff(23859,plain,
% 5.69/4.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s100)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s100))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s100) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s100))))),
% 5.69/4.55 inference(monotonicity,[status(thm)],[23858])).
% 5.69/4.55 tff(23860,plain,
% 5.69/4.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s100)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s100))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s100) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s100)))),
% 5.69/4.55 inference(transitivity,[status(thm)],[23859, 23857])).
% 5.69/4.55 tff(23861,plain,
% 5.69/4.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s100)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s100))),
% 5.69/4.55 inference(quant_inst,[status(thm)],[])).
% 5.69/4.55 tff(23862,plain,
% 5.69/4.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s100) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s100))),
% 5.69/4.55 inference(modus_ponens,[status(thm)],[23861, 23860])).
% 5.69/4.55 tff(23863,plain,
% 5.69/4.55 ($false),
% 5.69/4.55 inference(unit_resolution,[status(thm)],[23862, 20779, 23856, 21667, 21875, 20769])).
% 5.69/4.55 tff(23864,plain,(~trans(s204, s100)), inference(lemma,lemma(discharge,[]))).
% 5.69/4.55 tff(23865,assumption,(trans(s204, s74)), introduced(assumption)).
% 5.69/4.55 tff(23866,plain,
% 5.69/4.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s74) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s74)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s74) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s74)))),
% 5.69/4.55 inference(rewrite,[status(thm)],[])).
% 5.69/4.55 tff(23867,plain,
% 5.69/4.55 (((~trans(s204, s74)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s74)) <=> (until2p29(s74) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s74)))),
% 5.69/4.55 inference(rewrite,[status(thm)],[])).
% 5.69/4.55 tff(23868,plain,
% 5.69/4.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s74)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s74))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s74) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s74))))),
% 5.69/4.55 inference(monotonicity,[status(thm)],[23867])).
% 5.69/4.55 tff(23869,plain,
% 5.69/4.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s74)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s74))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s74) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s74)))),
% 5.69/4.55 inference(transitivity,[status(thm)],[23868, 23866])).
% 5.69/4.55 tff(23870,plain,
% 5.69/4.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s74)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s74))),
% 5.69/4.55 inference(quant_inst,[status(thm)],[])).
% 5.69/4.55 tff(23871,plain,
% 5.69/4.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s74) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s74))),
% 5.69/4.55 inference(modus_ponens,[status(thm)],[23870, 23869])).
% 5.69/4.55 tff(23872,plain,
% 5.69/4.55 ($false),
% 5.69/4.55 inference(unit_resolution,[status(thm)],[23871, 20779, 23865, 21667, 22135, 20769])).
% 5.69/4.55 tff(23873,plain,(~trans(s204, s74)), inference(lemma,lemma(discharge,[]))).
% 5.69/4.55 tff(23874,assumption,(trans(s204, s69)), introduced(assumption)).
% 5.69/4.55 tff(23875,plain,
% 5.69/4.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s69) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s69)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s69) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s69)))),
% 5.69/4.55 inference(rewrite,[status(thm)],[])).
% 5.69/4.55 tff(23876,plain,
% 5.69/4.55 (((~trans(s204, s69)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s69)) <=> (until2p29(s69) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s69)))),
% 5.69/4.55 inference(rewrite,[status(thm)],[])).
% 5.69/4.55 tff(23877,plain,
% 5.69/4.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s69)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s69))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s69) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s69))))),
% 5.69/4.55 inference(monotonicity,[status(thm)],[23876])).
% 5.69/4.55 tff(23878,plain,
% 5.69/4.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s69)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s69))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s69) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s69)))),
% 5.69/4.55 inference(transitivity,[status(thm)],[23877, 23875])).
% 5.69/4.55 tff(23879,plain,
% 5.69/4.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s69)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s69))),
% 5.69/4.55 inference(quant_inst,[status(thm)],[])).
% 5.69/4.55 tff(23880,plain,
% 5.69/4.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s69) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s69))),
% 5.69/4.55 inference(modus_ponens,[status(thm)],[23879, 23878])).
% 5.69/4.55 tff(23881,plain,
% 5.69/4.55 ($false),
% 5.69/4.55 inference(unit_resolution,[status(thm)],[23880, 20779, 23874, 21667, 22185, 20769])).
% 5.69/4.55 tff(23882,plain,(~trans(s204, s69)), inference(lemma,lemma(discharge,[]))).
% 5.69/4.55 tff(23883,assumption,(trans(s204, s78)), introduced(assumption)).
% 5.69/4.55 tff(23884,plain,
% 5.69/4.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s78) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s78)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s78) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s78)))),
% 5.69/4.55 inference(rewrite,[status(thm)],[])).
% 5.69/4.55 tff(23885,plain,
% 5.69/4.55 (((~trans(s204, s78)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s78)) <=> (until2p29(s78) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s78)))),
% 5.69/4.55 inference(rewrite,[status(thm)],[])).
% 5.69/4.55 tff(23886,plain,
% 5.69/4.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s78)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s78))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s78) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s78))))),
% 5.69/4.55 inference(monotonicity,[status(thm)],[23885])).
% 5.69/4.55 tff(23887,plain,
% 5.69/4.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s78)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s78))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s78) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s78)))),
% 5.69/4.55 inference(transitivity,[status(thm)],[23886, 23884])).
% 5.69/4.55 tff(23888,plain,
% 5.69/4.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s78)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s78))),
% 5.69/4.55 inference(quant_inst,[status(thm)],[])).
% 5.69/4.55 tff(23889,plain,
% 5.69/4.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s78) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s78))),
% 5.69/4.55 inference(modus_ponens,[status(thm)],[23888, 23887])).
% 5.69/4.55 tff(23890,plain,
% 5.69/4.55 ($false),
% 5.69/4.55 inference(unit_resolution,[status(thm)],[23889, 20779, 23883, 21667, 22095, 20769])).
% 5.69/4.55 tff(23891,plain,(~trans(s204, s78)), inference(lemma,lemma(discharge,[]))).
% 5.69/4.55 tff(23892,assumption,(trans(s204, s5)), introduced(assumption)).
% 5.69/4.55 tff(23893,plain,
% 5.69/4.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s5) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s5)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s5) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s5)))),
% 5.69/4.55 inference(rewrite,[status(thm)],[])).
% 5.69/4.55 tff(23894,plain,
% 5.69/4.55 (((~trans(s204, s5)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s5)) <=> (until2p29(s5) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s5)))),
% 5.69/4.55 inference(rewrite,[status(thm)],[])).
% 5.69/4.55 tff(23895,plain,
% 5.69/4.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s5)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s5))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s5) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s5))))),
% 5.69/4.55 inference(monotonicity,[status(thm)],[23894])).
% 5.69/4.55 tff(23896,plain,
% 5.69/4.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s5)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s5))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s5) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s5)))),
% 5.69/4.55 inference(transitivity,[status(thm)],[23895, 23893])).
% 5.69/4.55 tff(23897,plain,
% 5.69/4.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s5)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s5))),
% 5.69/4.55 inference(quant_inst,[status(thm)],[])).
% 5.69/4.55 tff(23898,plain,
% 5.69/4.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s5) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s5))),
% 5.69/4.55 inference(modus_ponens,[status(thm)],[23897, 23896])).
% 5.69/4.55 tff(23899,plain,
% 5.69/4.55 ($false),
% 5.69/4.55 inference(unit_resolution,[status(thm)],[23898, 20779, 23892, 21667, 23338, 20769])).
% 5.69/4.55 tff(23900,plain,(~trans(s204, s5)), inference(lemma,lemma(discharge,[]))).
% 5.69/4.55 tff(23901,assumption,(trans(s204, s57)), introduced(assumption)).
% 5.69/4.55 tff(23902,plain,
% 5.69/4.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s57) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s57)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s57) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s57)))),
% 5.69/4.55 inference(rewrite,[status(thm)],[])).
% 5.69/4.55 tff(23903,plain,
% 5.69/4.55 (((~trans(s204, s57)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s57)) <=> (until2p29(s57) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s57)))),
% 5.69/4.55 inference(rewrite,[status(thm)],[])).
% 5.69/4.55 tff(23904,plain,
% 5.69/4.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s57)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s57))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s57) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s57))))),
% 5.69/4.55 inference(monotonicity,[status(thm)],[23903])).
% 5.69/4.55 tff(23905,plain,
% 5.69/4.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s57)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s57))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s57) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s57)))),
% 5.69/4.55 inference(transitivity,[status(thm)],[23904, 23902])).
% 5.69/4.55 tff(23906,plain,
% 5.69/4.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s57)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s57))),
% 5.69/4.55 inference(quant_inst,[status(thm)],[])).
% 5.69/4.55 tff(23907,plain,
% 5.69/4.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s57) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s57))),
% 5.69/4.55 inference(modus_ponens,[status(thm)],[23906, 23905])).
% 5.69/4.55 tff(23908,plain,
% 5.69/4.55 ($false),
% 5.69/4.55 inference(unit_resolution,[status(thm)],[23907, 20779, 23901, 21667, 22305, 20769])).
% 5.69/4.55 tff(23909,plain,(~trans(s204, s57)), inference(lemma,lemma(discharge,[]))).
% 5.69/4.55 tff(23910,assumption,(trans(s204, s72)), introduced(assumption)).
% 5.69/4.55 tff(23911,plain,
% 5.69/4.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s72) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s72)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s72) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s72)))),
% 5.69/4.55 inference(rewrite,[status(thm)],[])).
% 5.69/4.55 tff(23912,plain,
% 5.69/4.55 (((~trans(s204, s72)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s72)) <=> (until2p29(s72) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s72)))),
% 5.69/4.55 inference(rewrite,[status(thm)],[])).
% 5.69/4.55 tff(23913,plain,
% 5.69/4.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s72)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s72))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s72) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s72))))),
% 5.69/4.55 inference(monotonicity,[status(thm)],[23912])).
% 5.69/4.55 tff(23914,plain,
% 5.69/4.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s72)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s72))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s72) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s72)))),
% 5.69/4.55 inference(transitivity,[status(thm)],[23913, 23911])).
% 5.69/4.55 tff(23915,plain,
% 5.69/4.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s72)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s72))),
% 5.69/4.55 inference(quant_inst,[status(thm)],[])).
% 5.69/4.55 tff(23916,plain,
% 5.69/4.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s72) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s72))),
% 5.69/4.55 inference(modus_ponens,[status(thm)],[23915, 23914])).
% 5.69/4.55 tff(23917,plain,
% 5.69/4.55 ($false),
% 5.69/4.55 inference(unit_resolution,[status(thm)],[23916, 20779, 23910, 21667, 22155, 20769])).
% 5.69/4.55 tff(23918,plain,(~trans(s204, s72)), inference(lemma,lemma(discharge,[]))).
% 5.69/4.55 tff(23919,assumption,(trans(s204, s12)), introduced(assumption)).
% 5.69/4.55 tff(23920,plain,
% 5.69/4.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s12) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s12)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s12) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s12)))),
% 5.69/4.55 inference(rewrite,[status(thm)],[])).
% 5.69/4.55 tff(23921,plain,
% 5.69/4.55 (((~trans(s204, s12)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s12)) <=> (until2p29(s12) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s12)))),
% 5.69/4.55 inference(rewrite,[status(thm)],[])).
% 5.69/4.55 tff(23922,plain,
% 5.69/4.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s12)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s12))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s12) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s12))))),
% 5.69/4.55 inference(monotonicity,[status(thm)],[23921])).
% 5.69/4.55 tff(23923,plain,
% 5.69/4.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s12)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s12))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s12) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s12)))),
% 5.69/4.55 inference(transitivity,[status(thm)],[23922, 23920])).
% 5.69/4.55 tff(23924,plain,
% 5.69/4.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s12)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s12))),
% 5.69/4.55 inference(quant_inst,[status(thm)],[])).
% 5.69/4.55 tff(23925,plain,
% 5.69/4.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s12) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s12))),
% 5.69/4.55 inference(modus_ponens,[status(thm)],[23924, 23923])).
% 5.69/4.55 tff(23926,plain,
% 5.69/4.55 ($false),
% 5.69/4.55 inference(unit_resolution,[status(thm)],[23925, 20779, 23919, 21667, 22755, 20769])).
% 5.69/4.55 tff(23927,plain,(~trans(s204, s12)), inference(lemma,lemma(discharge,[]))).
% 5.69/4.55 tff(23928,assumption,(trans(s204, s13)), introduced(assumption)).
% 5.69/4.55 tff(23929,plain,
% 5.69/4.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s13) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s13)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s13) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s13)))),
% 5.69/4.55 inference(rewrite,[status(thm)],[])).
% 5.69/4.55 tff(23930,plain,
% 5.69/4.55 (((~trans(s204, s13)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s13)) <=> (until2p29(s13) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s13)))),
% 5.69/4.55 inference(rewrite,[status(thm)],[])).
% 5.69/4.55 tff(23931,plain,
% 5.69/4.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s13)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s13))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s13) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s13))))),
% 5.69/4.55 inference(monotonicity,[status(thm)],[23930])).
% 5.69/4.55 tff(23932,plain,
% 5.69/4.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s13)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s13))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s13) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s13)))),
% 5.69/4.55 inference(transitivity,[status(thm)],[23931, 23929])).
% 5.69/4.55 tff(23933,plain,
% 5.69/4.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s13)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s13))),
% 5.69/4.55 inference(quant_inst,[status(thm)],[])).
% 5.69/4.55 tff(23934,plain,
% 5.69/4.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s13) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s13))),
% 5.69/4.55 inference(modus_ponens,[status(thm)],[23933, 23932])).
% 5.69/4.55 tff(23935,plain,
% 5.69/4.55 ($false),
% 5.69/4.55 inference(unit_resolution,[status(thm)],[23934, 20779, 23928, 21667, 22745, 20769])).
% 5.69/4.55 tff(23936,plain,(~trans(s204, s13)), inference(lemma,lemma(discharge,[]))).
% 5.69/4.55 tff(23937,assumption,(trans(s204, s117)), introduced(assumption)).
% 5.69/4.55 tff(23938,plain,
% 5.69/4.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s117) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s117)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s117) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s117)))),
% 5.69/4.55 inference(rewrite,[status(thm)],[])).
% 5.69/4.55 tff(23939,plain,
% 5.69/4.55 (((~trans(s204, s117)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s117)) <=> (until2p29(s117) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s117)))),
% 5.69/4.55 inference(rewrite,[status(thm)],[])).
% 5.69/4.55 tff(23940,plain,
% 5.69/4.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s117)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s117))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s117) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s117))))),
% 5.69/4.55 inference(monotonicity,[status(thm)],[23939])).
% 5.69/4.55 tff(23941,plain,
% 5.69/4.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s117)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s117))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s117) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s117)))),
% 5.69/4.55 inference(transitivity,[status(thm)],[23940, 23938])).
% 5.69/4.55 tff(23942,plain,
% 5.69/4.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s117)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s117))),
% 5.69/4.55 inference(quant_inst,[status(thm)],[])).
% 5.69/4.55 tff(23943,plain,
% 5.69/4.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s117) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s117))),
% 5.69/4.55 inference(modus_ponens,[status(thm)],[23942, 23941])).
% 5.69/4.55 tff(23944,plain,
% 5.69/4.55 ($false),
% 5.69/4.55 inference(unit_resolution,[status(thm)],[23943, 20779, 23937, 21667, 21696, 20769])).
% 5.69/4.55 tff(23945,plain,(~trans(s204, s117)), inference(lemma,lemma(discharge,[]))).
% 5.69/4.55 tff(23946,assumption,(trans(s204, s184)), introduced(assumption)).
% 5.69/4.55 tff(23947,plain,
% 5.69/4.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s184) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s184)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s184) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s184)))),
% 5.69/4.55 inference(rewrite,[status(thm)],[])).
% 5.69/4.55 tff(23948,plain,
% 5.69/4.55 (((~trans(s204, s184)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s184)) <=> (until2p29(s184) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s184)))),
% 5.69/4.55 inference(rewrite,[status(thm)],[])).
% 5.69/4.55 tff(23949,plain,
% 5.69/4.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s184)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s184))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s184) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s184))))),
% 5.69/4.55 inference(monotonicity,[status(thm)],[23948])).
% 5.69/4.55 tff(23950,plain,
% 5.69/4.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s184)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s184))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s184) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s184)))),
% 5.69/4.55 inference(transitivity,[status(thm)],[23949, 23947])).
% 5.69/4.55 tff(23951,plain,
% 5.69/4.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s184)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s184))),
% 5.69/4.55 inference(quant_inst,[status(thm)],[])).
% 5.69/4.55 tff(23952,plain,
% 5.69/4.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s184) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s184))),
% 5.69/4.55 inference(modus_ponens,[status(thm)],[23951, 23950])).
% 5.69/4.55 tff(23953,plain,
% 5.69/4.55 ($false),
% 5.69/4.55 inference(unit_resolution,[status(thm)],[23952, 20779, 23946, 21667, 21007, 20769])).
% 5.69/4.55 tff(23954,plain,(~trans(s204, s184)), inference(lemma,lemma(discharge,[]))).
% 5.69/4.55 tff(23955,assumption,(trans(s204, s186)), introduced(assumption)).
% 5.69/4.55 tff(23956,plain,
% 5.69/4.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s186) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s186)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s186) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s186)))),
% 5.69/4.55 inference(rewrite,[status(thm)],[])).
% 5.69/4.55 tff(23957,plain,
% 5.69/4.55 (((~trans(s204, s186)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s186)) <=> (until2p29(s186) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s186)))),
% 5.69/4.55 inference(rewrite,[status(thm)],[])).
% 5.69/4.55 tff(23958,plain,
% 5.69/4.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s186)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s186))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s186) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s186))))),
% 5.69/4.55 inference(monotonicity,[status(thm)],[23957])).
% 5.69/4.55 tff(23959,plain,
% 5.69/4.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s186)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s186))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s186) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s186)))),
% 5.69/4.55 inference(transitivity,[status(thm)],[23958, 23956])).
% 5.69/4.55 tff(23960,plain,
% 5.69/4.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s186)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s186))),
% 5.69/4.55 inference(quant_inst,[status(thm)],[])).
% 5.69/4.55 tff(23961,plain,
% 5.69/4.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s186) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s186))),
% 5.69/4.55 inference(modus_ponens,[status(thm)],[23960, 23959])).
% 5.69/4.55 tff(23962,plain,
% 5.69/4.55 ($false),
% 5.69/4.55 inference(unit_resolution,[status(thm)],[23961, 20779, 23955, 21667, 20987, 20769])).
% 5.69/4.55 tff(23963,plain,(~trans(s204, s186)), inference(lemma,lemma(discharge,[]))).
% 5.69/4.55 tff(23964,assumption,(trans(s204, s166)), introduced(assumption)).
% 5.69/4.55 tff(23965,plain,
% 5.69/4.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s166) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s166)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s166) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s166)))),
% 5.69/4.55 inference(rewrite,[status(thm)],[])).
% 5.69/4.55 tff(23966,plain,
% 5.69/4.55 (((~trans(s204, s166)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s166)) <=> (until2p29(s166) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s166)))),
% 5.69/4.55 inference(rewrite,[status(thm)],[])).
% 5.69/4.55 tff(23967,plain,
% 5.69/4.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s166)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s166))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s166) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s166))))),
% 5.69/4.55 inference(monotonicity,[status(thm)],[23966])).
% 5.69/4.55 tff(23968,plain,
% 5.69/4.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s166)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s166))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s166) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s166)))),
% 5.69/4.55 inference(transitivity,[status(thm)],[23967, 23965])).
% 5.69/4.55 tff(23969,plain,
% 5.69/4.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s166)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s166))),
% 5.69/4.55 inference(quant_inst,[status(thm)],[])).
% 5.69/4.55 tff(23970,plain,
% 5.69/4.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s166) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s166))),
% 5.69/4.55 inference(modus_ponens,[status(thm)],[23969, 23968])).
% 5.69/4.55 tff(23971,plain,
% 5.69/4.55 ($false),
% 5.69/4.55 inference(unit_resolution,[status(thm)],[23970, 20779, 23964, 21667, 21187, 20769])).
% 5.69/4.55 tff(23972,plain,(~trans(s204, s166)), inference(lemma,lemma(discharge,[]))).
% 5.69/4.55 tff(23973,assumption,(trans(s204, s50)), introduced(assumption)).
% 5.69/4.55 tff(23974,plain,
% 5.69/4.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s50) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s50)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s50) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s50)))),
% 5.69/4.55 inference(rewrite,[status(thm)],[])).
% 5.69/4.55 tff(23975,plain,
% 5.69/4.55 (((~trans(s204, s50)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s50)) <=> (until2p29(s50) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s50)))),
% 5.69/4.55 inference(rewrite,[status(thm)],[])).
% 5.69/4.55 tff(23976,plain,
% 5.69/4.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s50)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s50))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s50) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s50))))),
% 5.69/4.55 inference(monotonicity,[status(thm)],[23975])).
% 5.69/4.55 tff(23977,plain,
% 5.69/4.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s50)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s50))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s50) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s50)))),
% 5.69/4.55 inference(transitivity,[status(thm)],[23976, 23974])).
% 5.69/4.55 tff(23978,plain,
% 5.69/4.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s50)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s50))),
% 5.69/4.55 inference(quant_inst,[status(thm)],[])).
% 5.69/4.55 tff(23979,plain,
% 5.69/4.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s50) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s50))),
% 5.69/4.55 inference(modus_ponens,[status(thm)],[23978, 23977])).
% 5.69/4.55 tff(23980,plain,
% 5.69/4.55 ($false),
% 5.69/4.55 inference(unit_resolution,[status(thm)],[23979, 20779, 23973, 21667, 22375, 20769])).
% 5.69/4.55 tff(23981,plain,(~trans(s204, s50)), inference(lemma,lemma(discharge,[]))).
% 5.69/4.55 tff(23982,assumption,(trans(s204, s93)), introduced(assumption)).
% 5.69/4.55 tff(23983,plain,
% 5.69/4.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s93) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s93)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s93) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s93)))),
% 5.69/4.55 inference(rewrite,[status(thm)],[])).
% 5.69/4.55 tff(23984,plain,
% 5.69/4.55 (((~trans(s204, s93)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s93)) <=> (until2p29(s93) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s93)))),
% 5.69/4.55 inference(rewrite,[status(thm)],[])).
% 5.69/4.55 tff(23985,plain,
% 5.69/4.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s93)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s93))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s93) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s93))))),
% 5.69/4.55 inference(monotonicity,[status(thm)],[23984])).
% 5.69/4.55 tff(23986,plain,
% 5.69/4.55 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s93)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s93))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s93) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s93)))),
% 5.69/4.55 inference(transitivity,[status(thm)],[23985, 23983])).
% 5.69/4.55 tff(23987,plain,
% 5.69/4.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s93)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s93))),
% 5.69/4.55 inference(quant_inst,[status(thm)],[])).
% 5.69/4.55 tff(23988,plain,
% 5.69/4.55 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s93) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s93))),
% 5.69/4.55 inference(modus_ponens,[status(thm)],[23987, 23986])).
% 5.69/4.55 tff(23989,plain,
% 5.69/4.55 ($false),
% 5.69/4.55 inference(unit_resolution,[status(thm)],[23988, 20779, 23982, 21667, 21945, 20769])).
% 5.69/4.56 tff(23990,plain,(~trans(s204, s93)), inference(lemma,lemma(discharge,[]))).
% 5.69/4.56 tff(23991,assumption,(trans(s204, s20)), introduced(assumption)).
% 5.69/4.56 tff(23992,plain,
% 5.69/4.56 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s20) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s20)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s20) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s20)))),
% 5.69/4.56 inference(rewrite,[status(thm)],[])).
% 5.69/4.56 tff(23993,plain,
% 5.69/4.56 (((~trans(s204, s20)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s20)) <=> (until2p29(s20) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s20)))),
% 5.69/4.56 inference(rewrite,[status(thm)],[])).
% 5.69/4.56 tff(23994,plain,
% 5.69/4.56 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s20)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s20))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s20) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s20))))),
% 5.69/4.56 inference(monotonicity,[status(thm)],[23993])).
% 5.69/4.56 tff(23995,plain,
% 5.69/4.56 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s20)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s20))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s20) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s20)))),
% 5.69/4.56 inference(transitivity,[status(thm)],[23994, 23992])).
% 5.69/4.56 tff(23996,plain,
% 5.69/4.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s20)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s20))),
% 5.69/4.56 inference(quant_inst,[status(thm)],[])).
% 5.69/4.56 tff(23997,plain,
% 5.69/4.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s20) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s20))),
% 5.69/4.56 inference(modus_ponens,[status(thm)],[23996, 23995])).
% 5.69/4.56 tff(23998,plain,
% 5.69/4.56 ($false),
% 5.69/4.56 inference(unit_resolution,[status(thm)],[23997, 20779, 23991, 21667, 22675, 20769])).
% 5.69/4.56 tff(23999,plain,(~trans(s204, s20)), inference(lemma,lemma(discharge,[]))).
% 5.69/4.56 tff(24000,assumption,(trans(s204, s24)), introduced(assumption)).
% 5.69/4.56 tff(24001,plain,
% 5.69/4.56 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s24) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s24)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s24) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s24)))),
% 5.69/4.56 inference(rewrite,[status(thm)],[])).
% 5.69/4.56 tff(24002,plain,
% 5.69/4.56 (((~trans(s204, s24)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s24)) <=> (until2p29(s24) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s24)))),
% 5.69/4.56 inference(rewrite,[status(thm)],[])).
% 5.69/4.56 tff(24003,plain,
% 5.69/4.56 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s24)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s24))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s24) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s24))))),
% 5.69/4.56 inference(monotonicity,[status(thm)],[24002])).
% 5.69/4.56 tff(24004,plain,
% 5.69/4.56 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s24)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s24))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s24) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s24)))),
% 5.69/4.56 inference(transitivity,[status(thm)],[24003, 24001])).
% 5.69/4.56 tff(24005,plain,
% 5.69/4.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s24)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s24))),
% 5.69/4.56 inference(quant_inst,[status(thm)],[])).
% 5.69/4.56 tff(24006,plain,
% 5.69/4.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s24) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s24))),
% 5.72/4.56 inference(modus_ponens,[status(thm)],[24005, 24004])).
% 5.72/4.56 tff(24007,plain,
% 5.72/4.56 ($false),
% 5.72/4.56 inference(unit_resolution,[status(thm)],[24006, 20779, 24000, 21667, 22635, 20769])).
% 5.72/4.56 tff(24008,plain,(~trans(s204, s24)), inference(lemma,lemma(discharge,[]))).
% 5.72/4.56 tff(24009,assumption,(trans(s204, s111)), introduced(assumption)).
% 5.72/4.56 tff(24010,plain,
% 5.72/4.56 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s111) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s111)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s111) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s111)))),
% 5.72/4.56 inference(rewrite,[status(thm)],[])).
% 5.72/4.56 tff(24011,plain,
% 5.72/4.56 (((~trans(s204, s111)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s111)) <=> (until2p29(s111) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s111)))),
% 5.72/4.56 inference(rewrite,[status(thm)],[])).
% 5.72/4.56 tff(24012,plain,
% 5.72/4.56 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s111)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s111))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s111) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s111))))),
% 5.72/4.56 inference(monotonicity,[status(thm)],[24011])).
% 5.72/4.56 tff(24013,plain,
% 5.72/4.56 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s111)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s111))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s111) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s111)))),
% 5.72/4.56 inference(transitivity,[status(thm)],[24012, 24010])).
% 5.72/4.56 tff(24014,plain,
% 5.72/4.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s111)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s111))),
% 5.72/4.56 inference(quant_inst,[status(thm)],[])).
% 5.72/4.56 tff(24015,plain,
% 5.72/4.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s111) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s111))),
% 5.72/4.56 inference(modus_ponens,[status(thm)],[24014, 24013])).
% 5.72/4.56 tff(24016,plain,
% 5.72/4.56 ($false),
% 5.72/4.56 inference(unit_resolution,[status(thm)],[24015, 20779, 24009, 21667, 21756, 20769])).
% 5.72/4.56 tff(24017,plain,(~trans(s204, s111)), inference(lemma,lemma(discharge,[]))).
% 5.72/4.56 tff(24018,assumption,(trans(s204, s70)), introduced(assumption)).
% 5.72/4.56 tff(24019,plain,
% 5.72/4.56 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s70) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s70)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s70) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s70)))),
% 5.72/4.56 inference(rewrite,[status(thm)],[])).
% 5.72/4.56 tff(24020,plain,
% 5.72/4.56 (((~trans(s204, s70)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s70)) <=> (until2p29(s70) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s70)))),
% 5.72/4.56 inference(rewrite,[status(thm)],[])).
% 5.72/4.56 tff(24021,plain,
% 5.72/4.56 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s70)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s70))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s70) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s70))))),
% 5.72/4.56 inference(monotonicity,[status(thm)],[24020])).
% 5.72/4.56 tff(24022,plain,
% 5.72/4.56 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s70)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s70))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s70) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s70)))),
% 5.72/4.56 inference(transitivity,[status(thm)],[24021, 24019])).
% 5.72/4.56 tff(24023,plain,
% 5.72/4.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s70)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s70))),
% 5.72/4.56 inference(quant_inst,[status(thm)],[])).
% 5.72/4.56 tff(24024,plain,
% 5.72/4.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s70) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s70))),
% 5.72/4.56 inference(modus_ponens,[status(thm)],[24023, 24022])).
% 5.72/4.56 tff(24025,plain,
% 5.72/4.56 ($false),
% 5.72/4.56 inference(unit_resolution,[status(thm)],[24024, 20779, 24018, 21667, 22175, 20769])).
% 5.72/4.56 tff(24026,plain,(~trans(s204, s70)), inference(lemma,lemma(discharge,[]))).
% 5.72/4.56 tff(24027,assumption,(trans(s204, s176)), introduced(assumption)).
% 5.72/4.56 tff(24028,plain,
% 5.72/4.56 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s176) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s176)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s176) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s176)))),
% 5.72/4.56 inference(rewrite,[status(thm)],[])).
% 5.72/4.56 tff(24029,plain,
% 5.72/4.56 (((~trans(s204, s176)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s176)) <=> (until2p29(s176) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s176)))),
% 5.72/4.56 inference(rewrite,[status(thm)],[])).
% 5.72/4.56 tff(24030,plain,
% 5.72/4.56 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s176)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s176))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s176) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s176))))),
% 5.72/4.56 inference(monotonicity,[status(thm)],[24029])).
% 5.72/4.56 tff(24031,plain,
% 5.72/4.56 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s176)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s176))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s176) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s176)))),
% 5.72/4.56 inference(transitivity,[status(thm)],[24030, 24028])).
% 5.72/4.56 tff(24032,plain,
% 5.72/4.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s176)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s176))),
% 5.72/4.56 inference(quant_inst,[status(thm)],[])).
% 5.72/4.56 tff(24033,plain,
% 5.72/4.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s176) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s176))),
% 5.72/4.56 inference(modus_ponens,[status(thm)],[24032, 24031])).
% 5.72/4.56 tff(24034,plain,
% 5.72/4.56 ($false),
% 5.72/4.56 inference(unit_resolution,[status(thm)],[24033, 20779, 24027, 21667, 21087, 20769])).
% 5.72/4.56 tff(24035,plain,(~trans(s204, s176)), inference(lemma,lemma(discharge,[]))).
% 5.72/4.56 tff(24036,assumption,(trans(s204, s56)), introduced(assumption)).
% 5.72/4.56 tff(24037,plain,
% 5.72/4.56 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s56) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s56)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s56) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s56)))),
% 5.72/4.56 inference(rewrite,[status(thm)],[])).
% 5.72/4.56 tff(24038,plain,
% 5.72/4.56 (((~trans(s204, s56)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s56)) <=> (until2p29(s56) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s56)))),
% 5.72/4.56 inference(rewrite,[status(thm)],[])).
% 5.72/4.56 tff(24039,plain,
% 5.72/4.56 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s56)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s56))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s56) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s56))))),
% 5.72/4.56 inference(monotonicity,[status(thm)],[24038])).
% 5.72/4.56 tff(24040,plain,
% 5.72/4.56 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s56)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s56))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s56) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s56)))),
% 5.72/4.56 inference(transitivity,[status(thm)],[24039, 24037])).
% 5.72/4.56 tff(24041,plain,
% 5.72/4.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s56)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s56))),
% 5.72/4.56 inference(quant_inst,[status(thm)],[])).
% 5.72/4.56 tff(24042,plain,
% 5.72/4.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s56) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s56))),
% 5.72/4.56 inference(modus_ponens,[status(thm)],[24041, 24040])).
% 5.72/4.56 tff(24043,plain,
% 5.72/4.56 ($false),
% 5.72/4.56 inference(unit_resolution,[status(thm)],[24042, 20779, 24036, 21667, 22315, 20769])).
% 5.72/4.56 tff(24044,plain,(~trans(s204, s56)), inference(lemma,lemma(discharge,[]))).
% 5.72/4.56 tff(24045,assumption,(trans(s204, s99)), introduced(assumption)).
% 5.72/4.56 tff(24046,plain,
% 5.72/4.56 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s99) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s99)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s99) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s99)))),
% 5.72/4.56 inference(rewrite,[status(thm)],[])).
% 5.72/4.56 tff(24047,plain,
% 5.72/4.56 (((~trans(s204, s99)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s99)) <=> (until2p29(s99) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s99)))),
% 5.72/4.56 inference(rewrite,[status(thm)],[])).
% 5.72/4.56 tff(24048,plain,
% 5.72/4.56 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s99)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s99))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s99) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s99))))),
% 5.72/4.56 inference(monotonicity,[status(thm)],[24047])).
% 5.72/4.56 tff(24049,plain,
% 5.72/4.56 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s99)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s99))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s99) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s99)))),
% 5.72/4.56 inference(transitivity,[status(thm)],[24048, 24046])).
% 5.72/4.56 tff(24050,plain,
% 5.72/4.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s99)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s99))),
% 5.72/4.56 inference(quant_inst,[status(thm)],[])).
% 5.72/4.56 tff(24051,plain,
% 5.72/4.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s99) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s99))),
% 5.72/4.56 inference(modus_ponens,[status(thm)],[24050, 24049])).
% 5.72/4.56 tff(24052,plain,
% 5.72/4.56 ($false),
% 5.72/4.56 inference(unit_resolution,[status(thm)],[24051, 20779, 24045, 21667, 21885, 20769])).
% 5.72/4.56 tff(24053,plain,(~trans(s204, s99)), inference(lemma,lemma(discharge,[]))).
% 5.72/4.56 tff(24054,assumption,(trans(s204, s118)), introduced(assumption)).
% 5.72/4.56 tff(24055,plain,
% 5.72/4.56 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s118) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s118)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s118) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s118)))),
% 5.72/4.56 inference(rewrite,[status(thm)],[])).
% 5.72/4.56 tff(24056,plain,
% 5.72/4.56 (((~trans(s204, s118)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s118)) <=> (until2p29(s118) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s118)))),
% 5.72/4.56 inference(rewrite,[status(thm)],[])).
% 5.72/4.56 tff(24057,plain,
% 5.72/4.56 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s118)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s118))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s118) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s118))))),
% 5.72/4.56 inference(monotonicity,[status(thm)],[24056])).
% 5.72/4.56 tff(24058,plain,
% 5.72/4.56 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s118)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s118))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s118) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s118)))),
% 5.72/4.56 inference(transitivity,[status(thm)],[24057, 24055])).
% 5.72/4.56 tff(24059,plain,
% 5.72/4.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s118)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s118))),
% 5.72/4.56 inference(quant_inst,[status(thm)],[])).
% 5.72/4.56 tff(24060,plain,
% 5.72/4.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s118) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s118))),
% 5.72/4.56 inference(modus_ponens,[status(thm)],[24059, 24058])).
% 5.72/4.56 tff(24061,plain,
% 5.72/4.56 ($false),
% 5.72/4.56 inference(unit_resolution,[status(thm)],[24060, 20779, 24054, 21667, 21686, 20769])).
% 5.72/4.56 tff(24062,plain,(~trans(s204, s118)), inference(lemma,lemma(discharge,[]))).
% 5.72/4.56 tff(24063,assumption,(trans(s204, s183)), introduced(assumption)).
% 5.72/4.56 tff(24064,plain,
% 5.72/4.56 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s183) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s183)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s183) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s183)))),
% 5.72/4.56 inference(rewrite,[status(thm)],[])).
% 5.72/4.56 tff(24065,plain,
% 5.72/4.56 (((~trans(s204, s183)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s183)) <=> (until2p29(s183) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s183)))),
% 5.72/4.56 inference(rewrite,[status(thm)],[])).
% 5.72/4.56 tff(24066,plain,
% 5.72/4.56 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s183)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s183))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s183) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s183))))),
% 5.72/4.56 inference(monotonicity,[status(thm)],[24065])).
% 5.72/4.56 tff(24067,plain,
% 5.72/4.56 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s183)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s183))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s183) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s183)))),
% 5.72/4.56 inference(transitivity,[status(thm)],[24066, 24064])).
% 5.72/4.56 tff(24068,plain,
% 5.72/4.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s183)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s183))),
% 5.72/4.56 inference(quant_inst,[status(thm)],[])).
% 5.72/4.56 tff(24069,plain,
% 5.72/4.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s183) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s183))),
% 5.72/4.56 inference(modus_ponens,[status(thm)],[24068, 24067])).
% 5.72/4.56 tff(24070,plain,
% 5.72/4.56 ($false),
% 5.72/4.56 inference(unit_resolution,[status(thm)],[24069, 20779, 24063, 21667, 21017, 20769])).
% 5.72/4.56 tff(24071,plain,(~trans(s204, s183)), inference(lemma,lemma(discharge,[]))).
% 5.72/4.56 tff(24072,assumption,(trans(s204, s120)), introduced(assumption)).
% 5.72/4.56 tff(24073,plain,
% 5.72/4.56 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s120) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s120)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s120) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s120)))),
% 5.72/4.56 inference(rewrite,[status(thm)],[])).
% 5.72/4.56 tff(24074,plain,
% 5.72/4.56 (((~trans(s204, s120)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s120)) <=> (until2p29(s120) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s120)))),
% 5.72/4.56 inference(rewrite,[status(thm)],[])).
% 5.72/4.56 tff(24075,plain,
% 5.72/4.56 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s120)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s120))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s120) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s120))))),
% 5.72/4.56 inference(monotonicity,[status(thm)],[24074])).
% 5.72/4.56 tff(24076,plain,
% 5.72/4.56 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s120)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s120))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s120) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s120)))),
% 5.72/4.56 inference(transitivity,[status(thm)],[24075, 24073])).
% 5.72/4.56 tff(24077,plain,
% 5.72/4.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s120)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s120))),
% 5.72/4.56 inference(quant_inst,[status(thm)],[])).
% 5.72/4.56 tff(24078,plain,
% 5.72/4.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s120) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s120))),
% 5.72/4.56 inference(modus_ponens,[status(thm)],[24077, 24076])).
% 5.72/4.56 tff(24079,plain,
% 5.72/4.56 ($false),
% 5.72/4.56 inference(unit_resolution,[status(thm)],[24078, 20779, 24072, 21667, 21647, 20769])).
% 5.72/4.56 tff(24080,plain,(~trans(s204, s120)), inference(lemma,lemma(discharge,[]))).
% 5.72/4.56 tff(24081,assumption,(trans(s204, s139)), introduced(assumption)).
% 5.72/4.56 tff(24082,plain,
% 5.72/4.56 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s139) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s139)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s139) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s139)))),
% 5.72/4.56 inference(rewrite,[status(thm)],[])).
% 5.72/4.56 tff(24083,plain,
% 5.72/4.56 (((~trans(s204, s139)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s139)) <=> (until2p29(s139) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s139)))),
% 5.72/4.56 inference(rewrite,[status(thm)],[])).
% 5.72/4.56 tff(24084,plain,
% 5.72/4.56 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s139)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s139))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s139) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s139))))),
% 5.72/4.56 inference(monotonicity,[status(thm)],[24083])).
% 5.72/4.56 tff(24085,plain,
% 5.72/4.56 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s139)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s139))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s139) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s139)))),
% 5.72/4.56 inference(transitivity,[status(thm)],[24084, 24082])).
% 5.72/4.56 tff(24086,plain,
% 5.72/4.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s139)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s139))),
% 5.72/4.56 inference(quant_inst,[status(thm)],[])).
% 5.72/4.56 tff(24087,plain,
% 5.72/4.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s139) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s139))),
% 5.72/4.56 inference(modus_ponens,[status(thm)],[24086, 24085])).
% 5.72/4.56 tff(24088,plain,
% 5.72/4.56 ($false),
% 5.72/4.56 inference(unit_resolution,[status(thm)],[24087, 20779, 24081, 21667, 21457, 20769])).
% 5.72/4.56 tff(24089,plain,(~trans(s204, s139)), inference(lemma,lemma(discharge,[]))).
% 5.72/4.56 tff(24090,assumption,(trans(s204, s168)), introduced(assumption)).
% 5.72/4.56 tff(24091,plain,
% 5.72/4.56 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s168) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s168)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s168) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s168)))),
% 5.72/4.56 inference(rewrite,[status(thm)],[])).
% 5.72/4.56 tff(24092,plain,
% 5.72/4.56 (((~trans(s204, s168)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s168)) <=> (until2p29(s168) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s168)))),
% 5.72/4.56 inference(rewrite,[status(thm)],[])).
% 5.72/4.56 tff(24093,plain,
% 5.72/4.56 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s168)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s168))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s168) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s168))))),
% 5.72/4.56 inference(monotonicity,[status(thm)],[24092])).
% 5.72/4.56 tff(24094,plain,
% 5.72/4.56 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s168)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s168))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s168) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s168)))),
% 5.72/4.56 inference(transitivity,[status(thm)],[24093, 24091])).
% 5.72/4.56 tff(24095,plain,
% 5.72/4.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s168)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s168))),
% 5.72/4.56 inference(quant_inst,[status(thm)],[])).
% 5.72/4.56 tff(24096,plain,
% 5.72/4.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s168) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s168))),
% 5.72/4.56 inference(modus_ponens,[status(thm)],[24095, 24094])).
% 5.72/4.56 tff(24097,plain,
% 5.72/4.56 ($false),
% 5.72/4.56 inference(unit_resolution,[status(thm)],[24096, 20779, 24090, 21667, 21167, 20769])).
% 5.72/4.56 tff(24098,plain,(~trans(s204, s168)), inference(lemma,lemma(discharge,[]))).
% 5.72/4.56 tff(24099,assumption,(trans(s204, s132)), introduced(assumption)).
% 5.72/4.56 tff(24100,plain,
% 5.72/4.56 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s132) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s132)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s132) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s132)))),
% 5.72/4.56 inference(rewrite,[status(thm)],[])).
% 5.72/4.56 tff(24101,plain,
% 5.72/4.56 (((~trans(s204, s132)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s132)) <=> (until2p29(s132) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s132)))),
% 5.72/4.56 inference(rewrite,[status(thm)],[])).
% 5.72/4.56 tff(24102,plain,
% 5.72/4.56 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s132)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s132))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s132) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s132))))),
% 5.72/4.56 inference(monotonicity,[status(thm)],[24101])).
% 5.72/4.56 tff(24103,plain,
% 5.72/4.56 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s132)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s132))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s132) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s132)))),
% 5.72/4.56 inference(transitivity,[status(thm)],[24102, 24100])).
% 5.72/4.56 tff(24104,plain,
% 5.72/4.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s132)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s132))),
% 5.72/4.56 inference(quant_inst,[status(thm)],[])).
% 5.72/4.56 tff(24105,plain,
% 5.72/4.56 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s132) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s132))),
% 5.72/4.56 inference(modus_ponens,[status(thm)],[24104, 24103])).
% 5.72/4.56 tff(24106,plain,
% 5.72/4.56 ($false),
% 5.72/4.56 inference(unit_resolution,[status(thm)],[24105, 20779, 24099, 21667, 21527, 20769])).
% 5.72/4.56 tff(24107,plain,(~trans(s204, s132)), inference(lemma,lemma(discharge,[]))).
% 5.72/4.56 tff(24108,assumption,(trans(s204, s190)), introduced(assumption)).
% 5.72/4.56 tff(24109,plain,
% 5.72/4.56 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s190) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s190)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s190) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s190)))),
% 5.72/4.57 inference(rewrite,[status(thm)],[])).
% 5.72/4.57 tff(24110,plain,
% 5.72/4.57 (((~trans(s204, s190)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s190)) <=> (until2p29(s190) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s190)))),
% 5.72/4.57 inference(rewrite,[status(thm)],[])).
% 5.72/4.57 tff(24111,plain,
% 5.72/4.57 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s190)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s190))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s190) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s190))))),
% 5.72/4.57 inference(monotonicity,[status(thm)],[24110])).
% 5.72/4.57 tff(24112,plain,
% 5.72/4.57 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s190)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s190))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s190) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s190)))),
% 5.72/4.57 inference(transitivity,[status(thm)],[24111, 24109])).
% 5.72/4.57 tff(24113,plain,
% 5.72/4.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s190)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s190))),
% 5.72/4.57 inference(quant_inst,[status(thm)],[])).
% 5.72/4.57 tff(24114,plain,
% 5.72/4.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s190) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s190))),
% 5.72/4.57 inference(modus_ponens,[status(thm)],[24113, 24112])).
% 5.72/4.57 tff(24115,plain,
% 5.72/4.57 ($false),
% 5.72/4.57 inference(unit_resolution,[status(thm)],[24114, 20779, 24108, 21667, 20947, 20769])).
% 5.72/4.57 tff(24116,plain,(~trans(s204, s190)), inference(lemma,lemma(discharge,[]))).
% 5.72/4.57 tff(24117,assumption,(trans(s204, s134)), introduced(assumption)).
% 5.72/4.57 tff(24118,plain,
% 5.72/4.57 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s134) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s134)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s134) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s134)))),
% 5.72/4.57 inference(rewrite,[status(thm)],[])).
% 5.72/4.57 tff(24119,plain,
% 5.72/4.57 (((~trans(s204, s134)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s134)) <=> (until2p29(s134) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s134)))),
% 5.72/4.57 inference(rewrite,[status(thm)],[])).
% 5.72/4.57 tff(24120,plain,
% 5.72/4.57 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s134)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s134))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s134) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s134))))),
% 5.72/4.57 inference(monotonicity,[status(thm)],[24119])).
% 5.72/4.57 tff(24121,plain,
% 5.72/4.57 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s134)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s134))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s134) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s134)))),
% 5.72/4.57 inference(transitivity,[status(thm)],[24120, 24118])).
% 5.72/4.57 tff(24122,plain,
% 5.72/4.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s134)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s134))),
% 5.72/4.57 inference(quant_inst,[status(thm)],[])).
% 5.72/4.57 tff(24123,plain,
% 5.72/4.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s134) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s134))),
% 5.72/4.57 inference(modus_ponens,[status(thm)],[24122, 24121])).
% 5.72/4.57 tff(24124,plain,
% 5.72/4.57 ($false),
% 5.72/4.57 inference(unit_resolution,[status(thm)],[24123, 20779, 24117, 21667, 21507, 20769])).
% 5.72/4.57 tff(24125,plain,(~trans(s204, s134)), inference(lemma,lemma(discharge,[]))).
% 5.72/4.57 tff(24126,assumption,(trans(s204, s75)), introduced(assumption)).
% 5.72/4.57 tff(24127,plain,
% 5.72/4.57 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s75) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s75)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s75) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s75)))),
% 5.72/4.57 inference(rewrite,[status(thm)],[])).
% 5.72/4.57 tff(24128,plain,
% 5.72/4.57 (((~trans(s204, s75)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s75)) <=> (until2p29(s75) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s75)))),
% 5.72/4.57 inference(rewrite,[status(thm)],[])).
% 5.72/4.57 tff(24129,plain,
% 5.72/4.57 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s75)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s75))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s75) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s75))))),
% 5.72/4.57 inference(monotonicity,[status(thm)],[24128])).
% 5.72/4.57 tff(24130,plain,
% 5.72/4.57 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s75)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s75))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s75) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s75)))),
% 5.72/4.57 inference(transitivity,[status(thm)],[24129, 24127])).
% 5.72/4.57 tff(24131,plain,
% 5.72/4.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s75)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s75))),
% 5.72/4.57 inference(quant_inst,[status(thm)],[])).
% 5.72/4.57 tff(24132,plain,
% 5.72/4.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s75) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s75))),
% 5.72/4.57 inference(modus_ponens,[status(thm)],[24131, 24130])).
% 5.72/4.57 tff(24133,plain,
% 5.72/4.57 ($false),
% 5.72/4.57 inference(unit_resolution,[status(thm)],[24132, 20779, 24126, 21667, 22125, 20769])).
% 5.72/4.57 tff(24134,plain,(~trans(s204, s75)), inference(lemma,lemma(discharge,[]))).
% 5.72/4.57 tff(24135,assumption,(trans(s204, s90)), introduced(assumption)).
% 5.72/4.57 tff(24136,plain,
% 5.72/4.57 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s90) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s90)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s90) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s90)))),
% 5.72/4.57 inference(rewrite,[status(thm)],[])).
% 5.72/4.57 tff(24137,plain,
% 5.72/4.57 (((~trans(s204, s90)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s90)) <=> (until2p29(s90) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s90)))),
% 5.72/4.57 inference(rewrite,[status(thm)],[])).
% 5.72/4.57 tff(24138,plain,
% 5.72/4.57 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s90)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s90))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s90) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s90))))),
% 5.72/4.57 inference(monotonicity,[status(thm)],[24137])).
% 5.72/4.57 tff(24139,plain,
% 5.72/4.57 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s90)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s90))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s90) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s90)))),
% 5.72/4.57 inference(transitivity,[status(thm)],[24138, 24136])).
% 5.72/4.57 tff(24140,plain,
% 5.72/4.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s90)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s90))),
% 5.72/4.57 inference(quant_inst,[status(thm)],[])).
% 5.72/4.57 tff(24141,plain,
% 5.72/4.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s90) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s90))),
% 5.72/4.57 inference(modus_ponens,[status(thm)],[24140, 24139])).
% 5.72/4.57 tff(24142,plain,
% 5.72/4.57 ($false),
% 5.72/4.57 inference(unit_resolution,[status(thm)],[24141, 20779, 24135, 21667, 21975, 20769])).
% 5.72/4.57 tff(24143,plain,(~trans(s204, s90)), inference(lemma,lemma(discharge,[]))).
% 5.72/4.57 tff(24144,assumption,(trans(s204, s58)), introduced(assumption)).
% 5.72/4.57 tff(24145,plain,
% 5.72/4.57 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s58) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s58)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s58) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s58)))),
% 5.72/4.57 inference(rewrite,[status(thm)],[])).
% 5.72/4.57 tff(24146,plain,
% 5.72/4.57 (((~trans(s204, s58)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s58)) <=> (until2p29(s58) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s58)))),
% 5.72/4.57 inference(rewrite,[status(thm)],[])).
% 5.72/4.57 tff(24147,plain,
% 5.72/4.57 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s58)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s58))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s58) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s58))))),
% 5.72/4.57 inference(monotonicity,[status(thm)],[24146])).
% 5.72/4.57 tff(24148,plain,
% 5.72/4.57 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s58)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s58))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s58) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s58)))),
% 5.72/4.57 inference(transitivity,[status(thm)],[24147, 24145])).
% 5.72/4.57 tff(24149,plain,
% 5.72/4.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s58)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s58))),
% 5.72/4.57 inference(quant_inst,[status(thm)],[])).
% 5.72/4.57 tff(24150,plain,
% 5.72/4.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s58) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s58))),
% 5.72/4.57 inference(modus_ponens,[status(thm)],[24149, 24148])).
% 5.72/4.57 tff(24151,plain,
% 5.72/4.57 ($false),
% 5.72/4.57 inference(unit_resolution,[status(thm)],[24150, 20779, 24144, 21667, 22295, 20769])).
% 5.72/4.57 tff(24152,plain,(~trans(s204, s58)), inference(lemma,lemma(discharge,[]))).
% 5.72/4.57 tff(24153,assumption,(trans(s204, s195)), introduced(assumption)).
% 5.72/4.57 tff(24154,plain,
% 5.72/4.57 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s195) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s195)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s195) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s195)))),
% 5.72/4.57 inference(rewrite,[status(thm)],[])).
% 5.72/4.57 tff(24155,plain,
% 5.72/4.57 (((~trans(s204, s195)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s195)) <=> (until2p29(s195) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s195)))),
% 5.72/4.57 inference(rewrite,[status(thm)],[])).
% 5.72/4.57 tff(24156,plain,
% 5.72/4.57 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s195)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s195))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s195) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s195))))),
% 5.72/4.57 inference(monotonicity,[status(thm)],[24155])).
% 5.72/4.57 tff(24157,plain,
% 5.72/4.57 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s195)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s195))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s195) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s195)))),
% 5.72/4.57 inference(transitivity,[status(thm)],[24156, 24154])).
% 5.72/4.57 tff(24158,plain,
% 5.72/4.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s195)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s195))),
% 5.72/4.57 inference(quant_inst,[status(thm)],[])).
% 5.72/4.57 tff(24159,plain,
% 5.72/4.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s195) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s195))),
% 5.72/4.57 inference(modus_ponens,[status(thm)],[24158, 24157])).
% 5.72/4.57 tff(24160,plain,
% 5.72/4.57 ($false),
% 5.72/4.57 inference(unit_resolution,[status(thm)],[24159, 20779, 24153, 21667, 20897, 20769])).
% 5.72/4.57 tff(24161,plain,(~trans(s204, s195)), inference(lemma,lemma(discharge,[]))).
% 5.72/4.57 tff(24162,assumption,(trans(s204, s88)), introduced(assumption)).
% 5.72/4.57 tff(24163,plain,
% 5.72/4.57 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s88) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s88)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s88) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s88)))),
% 5.72/4.57 inference(rewrite,[status(thm)],[])).
% 5.72/4.57 tff(24164,plain,
% 5.72/4.57 (((~trans(s204, s88)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s88)) <=> (until2p29(s88) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s88)))),
% 5.72/4.57 inference(rewrite,[status(thm)],[])).
% 5.72/4.57 tff(24165,plain,
% 5.72/4.57 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s88)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s88))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s88) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s88))))),
% 5.72/4.57 inference(monotonicity,[status(thm)],[24164])).
% 5.72/4.57 tff(24166,plain,
% 5.72/4.57 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s88)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s88))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s88) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s88)))),
% 5.72/4.57 inference(transitivity,[status(thm)],[24165, 24163])).
% 5.72/4.57 tff(24167,plain,
% 5.72/4.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s88)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s88))),
% 5.72/4.57 inference(quant_inst,[status(thm)],[])).
% 5.72/4.57 tff(24168,plain,
% 5.72/4.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s88) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s88))),
% 5.72/4.57 inference(modus_ponens,[status(thm)],[24167, 24166])).
% 5.72/4.57 tff(24169,plain,
% 5.72/4.57 ($false),
% 5.72/4.57 inference(unit_resolution,[status(thm)],[24168, 20779, 24162, 21667, 21995, 20769])).
% 5.72/4.57 tff(24170,plain,(~trans(s204, s88)), inference(lemma,lemma(discharge,[]))).
% 5.72/4.57 tff(24171,assumption,(trans(s204, s108)), introduced(assumption)).
% 5.72/4.57 tff(24172,plain,
% 5.72/4.57 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s108) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s108)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s108) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s108)))),
% 5.72/4.57 inference(rewrite,[status(thm)],[])).
% 5.72/4.57 tff(24173,plain,
% 5.72/4.57 (((~trans(s204, s108)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s108)) <=> (until2p29(s108) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s108)))),
% 5.72/4.57 inference(rewrite,[status(thm)],[])).
% 5.72/4.57 tff(24174,plain,
% 5.72/4.57 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s108)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s108))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s108) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s108))))),
% 5.72/4.57 inference(monotonicity,[status(thm)],[24173])).
% 5.72/4.57 tff(24175,plain,
% 5.72/4.57 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s108)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s108))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s108) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s108)))),
% 5.72/4.57 inference(transitivity,[status(thm)],[24174, 24172])).
% 5.72/4.57 tff(24176,plain,
% 5.72/4.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s108)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s108))),
% 5.72/4.57 inference(quant_inst,[status(thm)],[])).
% 5.72/4.57 tff(24177,plain,
% 5.72/4.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s108) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s108))),
% 5.72/4.57 inference(modus_ponens,[status(thm)],[24176, 24175])).
% 5.72/4.57 tff(24178,plain,
% 5.72/4.57 ($false),
% 5.72/4.57 inference(unit_resolution,[status(thm)],[24177, 20779, 24171, 21667, 21786, 20769])).
% 5.72/4.57 tff(24179,plain,(~trans(s204, s108)), inference(lemma,lemma(discharge,[]))).
% 5.72/4.57 tff(24180,assumption,(trans(s204, s65)), introduced(assumption)).
% 5.72/4.57 tff(24181,plain,
% 5.72/4.57 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s65) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s65)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s65) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s65)))),
% 5.72/4.57 inference(rewrite,[status(thm)],[])).
% 5.72/4.57 tff(24182,plain,
% 5.72/4.57 (((~trans(s204, s65)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s65)) <=> (until2p29(s65) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s65)))),
% 5.72/4.57 inference(rewrite,[status(thm)],[])).
% 5.72/4.57 tff(24183,plain,
% 5.72/4.57 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s65)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s65))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s65) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s65))))),
% 5.72/4.57 inference(monotonicity,[status(thm)],[24182])).
% 5.72/4.57 tff(24184,plain,
% 5.72/4.57 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s65)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s65))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s65) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s65)))),
% 5.72/4.57 inference(transitivity,[status(thm)],[24183, 24181])).
% 5.72/4.57 tff(24185,plain,
% 5.72/4.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s65)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s65))),
% 5.72/4.57 inference(quant_inst,[status(thm)],[])).
% 5.72/4.57 tff(24186,plain,
% 5.72/4.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s65) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s65))),
% 5.72/4.57 inference(modus_ponens,[status(thm)],[24185, 24184])).
% 5.72/4.57 tff(24187,plain,
% 5.72/4.57 ($false),
% 5.72/4.57 inference(unit_resolution,[status(thm)],[24186, 20779, 24180, 21667, 22225, 20769])).
% 5.72/4.57 tff(24188,plain,(~trans(s204, s65)), inference(lemma,lemma(discharge,[]))).
% 5.72/4.57 tff(24189,assumption,(trans(s204, s49)), introduced(assumption)).
% 5.72/4.57 tff(24190,plain,
% 5.72/4.57 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s49) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s49)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s49) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s49)))),
% 5.72/4.57 inference(rewrite,[status(thm)],[])).
% 5.72/4.57 tff(24191,plain,
% 5.72/4.57 (((~trans(s204, s49)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s49)) <=> (until2p29(s49) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s49)))),
% 5.72/4.57 inference(rewrite,[status(thm)],[])).
% 5.72/4.57 tff(24192,plain,
% 5.72/4.57 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s49)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s49))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s49) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s49))))),
% 5.72/4.57 inference(monotonicity,[status(thm)],[24191])).
% 5.72/4.57 tff(24193,plain,
% 5.72/4.57 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s49)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s49))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s49) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s49)))),
% 5.72/4.57 inference(transitivity,[status(thm)],[24192, 24190])).
% 5.72/4.57 tff(24194,plain,
% 5.72/4.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s49)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s49))),
% 5.72/4.57 inference(quant_inst,[status(thm)],[])).
% 5.72/4.57 tff(24195,plain,
% 5.72/4.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s49) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s49))),
% 5.72/4.57 inference(modus_ponens,[status(thm)],[24194, 24193])).
% 5.72/4.57 tff(24196,plain,
% 5.72/4.57 ($false),
% 5.72/4.57 inference(unit_resolution,[status(thm)],[24195, 20779, 24189, 21667, 22385, 20769])).
% 5.72/4.57 tff(24197,plain,(~trans(s204, s49)), inference(lemma,lemma(discharge,[]))).
% 5.72/4.57 tff(24198,assumption,(trans(s204, s197)), introduced(assumption)).
% 5.72/4.57 tff(24199,plain,
% 5.72/4.57 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s197) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s197)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s197) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s197)))),
% 5.72/4.57 inference(rewrite,[status(thm)],[])).
% 5.72/4.57 tff(24200,plain,
% 5.72/4.57 (((~trans(s204, s197)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s197)) <=> (until2p29(s197) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s197)))),
% 5.72/4.57 inference(rewrite,[status(thm)],[])).
% 5.72/4.57 tff(24201,plain,
% 5.72/4.57 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s197)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s197))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s197) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s197))))),
% 5.72/4.57 inference(monotonicity,[status(thm)],[24200])).
% 5.72/4.57 tff(24202,plain,
% 5.72/4.57 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s197)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s197))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s197) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s197)))),
% 5.72/4.57 inference(transitivity,[status(thm)],[24201, 24199])).
% 5.72/4.57 tff(24203,plain,
% 5.72/4.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s197)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s197))),
% 5.72/4.57 inference(quant_inst,[status(thm)],[])).
% 5.72/4.57 tff(24204,plain,
% 5.72/4.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s197) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s197))),
% 5.72/4.57 inference(modus_ponens,[status(thm)],[24203, 24202])).
% 5.72/4.57 tff(24205,plain,
% 5.72/4.57 ($false),
% 5.72/4.57 inference(unit_resolution,[status(thm)],[24204, 20779, 24198, 21667, 20877, 20769])).
% 5.72/4.57 tff(24206,plain,(~trans(s204, s197)), inference(lemma,lemma(discharge,[]))).
% 5.72/4.57 tff(24207,assumption,(trans(s204, s142)), introduced(assumption)).
% 5.72/4.57 tff(24208,plain,
% 5.72/4.57 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s142) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s142)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s142) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s142)))),
% 5.72/4.57 inference(rewrite,[status(thm)],[])).
% 5.72/4.57 tff(24209,plain,
% 5.72/4.57 (((~trans(s204, s142)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s142)) <=> (until2p29(s142) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s142)))),
% 5.72/4.57 inference(rewrite,[status(thm)],[])).
% 5.72/4.57 tff(24210,plain,
% 5.72/4.57 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s142)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s142))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s142) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s142))))),
% 5.72/4.57 inference(monotonicity,[status(thm)],[24209])).
% 5.72/4.57 tff(24211,plain,
% 5.72/4.57 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s142)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s142))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s142) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s142)))),
% 5.72/4.57 inference(transitivity,[status(thm)],[24210, 24208])).
% 5.72/4.57 tff(24212,plain,
% 5.72/4.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s142)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s142))),
% 5.72/4.57 inference(quant_inst,[status(thm)],[])).
% 5.72/4.57 tff(24213,plain,
% 5.72/4.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s142) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s142))),
% 5.72/4.57 inference(modus_ponens,[status(thm)],[24212, 24211])).
% 5.72/4.57 tff(24214,plain,
% 5.72/4.57 ($false),
% 5.72/4.57 inference(unit_resolution,[status(thm)],[24213, 20779, 24207, 21667, 21427, 20769])).
% 5.72/4.57 tff(24215,plain,(~trans(s204, s142)), inference(lemma,lemma(discharge,[]))).
% 5.72/4.57 tff(24216,assumption,(trans(s204, s152)), introduced(assumption)).
% 5.72/4.57 tff(24217,plain,
% 5.72/4.57 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s152) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s152)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s152) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s152)))),
% 5.72/4.57 inference(rewrite,[status(thm)],[])).
% 5.72/4.57 tff(24218,plain,
% 5.72/4.57 (((~trans(s204, s152)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s152)) <=> (until2p29(s152) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s152)))),
% 5.72/4.57 inference(rewrite,[status(thm)],[])).
% 5.72/4.57 tff(24219,plain,
% 5.72/4.57 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s152)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s152))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s152) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s152))))),
% 5.72/4.57 inference(monotonicity,[status(thm)],[24218])).
% 5.72/4.57 tff(24220,plain,
% 5.72/4.57 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s152)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s152))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s152) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s152)))),
% 5.72/4.57 inference(transitivity,[status(thm)],[24219, 24217])).
% 5.72/4.57 tff(24221,plain,
% 5.72/4.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s152)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s152))),
% 5.72/4.57 inference(quant_inst,[status(thm)],[])).
% 5.72/4.57 tff(24222,plain,
% 5.72/4.57 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s152) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s152))),
% 5.72/4.57 inference(modus_ponens,[status(thm)],[24221, 24220])).
% 5.72/4.57 tff(24223,plain,
% 5.72/4.57 ($false),
% 5.72/4.57 inference(unit_resolution,[status(thm)],[24222, 20779, 24216, 21667, 21327, 20769])).
% 5.72/4.57 tff(24224,plain,(~trans(s204, s152)), inference(lemma,lemma(discharge,[]))).
% 5.72/4.57 tff(24225,assumption,(trans(s204, s125)), introduced(assumption)).
% 5.72/4.57 tff(24226,plain,
% 5.72/4.57 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s125) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s125)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s125) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s125)))),
% 5.72/4.57 inference(rewrite,[status(thm)],[])).
% 5.72/4.57 tff(24227,plain,
% 5.72/4.57 (((~trans(s204, s125)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s125)) <=> (until2p29(s125) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s125)))),
% 5.72/4.57 inference(rewrite,[status(thm)],[])).
% 5.72/4.57 tff(24228,plain,
% 5.72/4.57 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s125)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s125))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s125) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s125))))),
% 5.72/4.58 inference(monotonicity,[status(thm)],[24227])).
% 5.72/4.58 tff(24229,plain,
% 5.72/4.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s125)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s125))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s125) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s125)))),
% 5.72/4.58 inference(transitivity,[status(thm)],[24228, 24226])).
% 5.72/4.58 tff(24230,plain,
% 5.72/4.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s125)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s125))),
% 5.72/4.58 inference(quant_inst,[status(thm)],[])).
% 5.72/4.58 tff(24231,plain,
% 5.72/4.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s125) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s125))),
% 5.72/4.58 inference(modus_ponens,[status(thm)],[24230, 24229])).
% 5.72/4.58 tff(24232,plain,
% 5.72/4.58 ($false),
% 5.72/4.58 inference(unit_resolution,[status(thm)],[24231, 20779, 24225, 21667, 21597, 20769])).
% 5.72/4.58 tff(24233,plain,(~trans(s204, s125)), inference(lemma,lemma(discharge,[]))).
% 5.72/4.58 tff(24234,assumption,(trans(s204, s201)), introduced(assumption)).
% 5.72/4.58 tff(24235,plain,
% 5.72/4.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s201) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s201)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s201) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s201)))),
% 5.72/4.58 inference(rewrite,[status(thm)],[])).
% 5.72/4.58 tff(24236,plain,
% 5.72/4.58 (((~trans(s204, s201)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s201)) <=> (until2p29(s201) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s201)))),
% 5.72/4.58 inference(rewrite,[status(thm)],[])).
% 5.72/4.58 tff(24237,plain,
% 5.72/4.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s201)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s201))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s201) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s201))))),
% 5.72/4.58 inference(monotonicity,[status(thm)],[24236])).
% 5.72/4.58 tff(24238,plain,
% 5.72/4.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s201)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s201))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s201) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s201)))),
% 5.72/4.58 inference(transitivity,[status(thm)],[24237, 24235])).
% 5.72/4.58 tff(24239,plain,
% 5.72/4.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s201)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s201))),
% 5.72/4.58 inference(quant_inst,[status(thm)],[])).
% 5.72/4.58 tff(24240,plain,
% 5.72/4.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s201) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s201))),
% 5.72/4.58 inference(modus_ponens,[status(thm)],[24239, 24238])).
% 5.72/4.58 tff(24241,plain,
% 5.72/4.58 ($false),
% 5.72/4.58 inference(unit_resolution,[status(thm)],[24240, 20779, 24234, 21667, 20837, 20769])).
% 5.72/4.58 tff(24242,plain,(~trans(s204, s201)), inference(lemma,lemma(discharge,[]))).
% 5.72/4.58 tff(24243,assumption,(trans(s204, s82)), introduced(assumption)).
% 5.72/4.58 tff(24244,plain,
% 5.72/4.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s82) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s82)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s82) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s82)))),
% 5.72/4.58 inference(rewrite,[status(thm)],[])).
% 5.72/4.58 tff(24245,plain,
% 5.72/4.58 (((~trans(s204, s82)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s82)) <=> (until2p29(s82) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s82)))),
% 5.72/4.58 inference(rewrite,[status(thm)],[])).
% 5.72/4.58 tff(24246,plain,
% 5.72/4.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s82)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s82))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s82) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s82))))),
% 5.72/4.58 inference(monotonicity,[status(thm)],[24245])).
% 5.72/4.58 tff(24247,plain,
% 5.72/4.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s82)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s82))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s82) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s82)))),
% 5.72/4.58 inference(transitivity,[status(thm)],[24246, 24244])).
% 5.72/4.58 tff(24248,plain,
% 5.72/4.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s82)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s82))),
% 5.72/4.58 inference(quant_inst,[status(thm)],[])).
% 5.72/4.58 tff(24249,plain,
% 5.72/4.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s82) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s82))),
% 5.72/4.58 inference(modus_ponens,[status(thm)],[24248, 24247])).
% 5.72/4.58 tff(24250,plain,
% 5.72/4.58 ($false),
% 5.72/4.58 inference(unit_resolution,[status(thm)],[24249, 20779, 24243, 21667, 22055, 20769])).
% 5.72/4.58 tff(24251,plain,(~trans(s204, s82)), inference(lemma,lemma(discharge,[]))).
% 5.72/4.58 tff(24252,assumption,(trans(s204, s140)), introduced(assumption)).
% 5.72/4.58 tff(24253,plain,
% 5.72/4.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s140) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s140)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s140) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s140)))),
% 5.72/4.58 inference(rewrite,[status(thm)],[])).
% 5.72/4.58 tff(24254,plain,
% 5.72/4.58 (((~trans(s204, s140)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s140)) <=> (until2p29(s140) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s140)))),
% 5.72/4.58 inference(rewrite,[status(thm)],[])).
% 5.72/4.58 tff(24255,plain,
% 5.72/4.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s140)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s140))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s140) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s140))))),
% 5.72/4.58 inference(monotonicity,[status(thm)],[24254])).
% 5.72/4.58 tff(24256,plain,
% 5.72/4.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s140)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s140))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s140) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s140)))),
% 5.72/4.58 inference(transitivity,[status(thm)],[24255, 24253])).
% 5.72/4.58 tff(24257,plain,
% 5.72/4.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s140)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s140))),
% 5.72/4.58 inference(quant_inst,[status(thm)],[])).
% 5.72/4.58 tff(24258,plain,
% 5.72/4.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s140) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s140))),
% 5.72/4.58 inference(modus_ponens,[status(thm)],[24257, 24256])).
% 5.72/4.58 tff(24259,plain,
% 5.72/4.58 ($false),
% 5.72/4.58 inference(unit_resolution,[status(thm)],[24258, 20779, 24252, 21667, 21447, 20769])).
% 5.72/4.58 tff(24260,plain,(~trans(s204, s140)), inference(lemma,lemma(discharge,[]))).
% 5.72/4.58 tff(24261,assumption,(trans(s204, s144)), introduced(assumption)).
% 5.72/4.58 tff(24262,plain,
% 5.72/4.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s144) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s144)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s144) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s144)))),
% 5.72/4.58 inference(rewrite,[status(thm)],[])).
% 5.72/4.58 tff(24263,plain,
% 5.72/4.58 (((~trans(s204, s144)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s144)) <=> (until2p29(s144) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s144)))),
% 5.72/4.58 inference(rewrite,[status(thm)],[])).
% 5.72/4.58 tff(24264,plain,
% 5.72/4.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s144)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s144))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s144) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s144))))),
% 5.72/4.58 inference(monotonicity,[status(thm)],[24263])).
% 5.72/4.58 tff(24265,plain,
% 5.72/4.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s144)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s144))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s144) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s144)))),
% 5.72/4.58 inference(transitivity,[status(thm)],[24264, 24262])).
% 5.72/4.58 tff(24266,plain,
% 5.72/4.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s144)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s144))),
% 5.72/4.58 inference(quant_inst,[status(thm)],[])).
% 5.72/4.58 tff(24267,plain,
% 5.72/4.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s144) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s144))),
% 5.72/4.58 inference(modus_ponens,[status(thm)],[24266, 24265])).
% 5.72/4.58 tff(24268,plain,
% 5.72/4.58 ($false),
% 5.72/4.58 inference(unit_resolution,[status(thm)],[24267, 20779, 24261, 21667, 21407, 20769])).
% 5.72/4.58 tff(24269,plain,(~trans(s204, s144)), inference(lemma,lemma(discharge,[]))).
% 5.72/4.58 tff(24270,assumption,(trans(s204, s164)), introduced(assumption)).
% 5.72/4.58 tff(24271,plain,
% 5.72/4.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s164) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s164)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s164) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s164)))),
% 5.72/4.58 inference(rewrite,[status(thm)],[])).
% 5.72/4.58 tff(24272,plain,
% 5.72/4.58 (((~trans(s204, s164)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s164)) <=> (until2p29(s164) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s164)))),
% 5.72/4.58 inference(rewrite,[status(thm)],[])).
% 5.72/4.58 tff(24273,plain,
% 5.72/4.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s164)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s164))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s164) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s164))))),
% 5.72/4.58 inference(monotonicity,[status(thm)],[24272])).
% 5.72/4.58 tff(24274,plain,
% 5.72/4.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s164)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s164))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s164) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s164)))),
% 5.72/4.58 inference(transitivity,[status(thm)],[24273, 24271])).
% 5.72/4.58 tff(24275,plain,
% 5.72/4.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s164)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s164))),
% 5.72/4.58 inference(quant_inst,[status(thm)],[])).
% 5.72/4.58 tff(24276,plain,
% 5.72/4.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s164) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s164))),
% 5.72/4.58 inference(modus_ponens,[status(thm)],[24275, 24274])).
% 5.72/4.58 tff(24277,plain,
% 5.72/4.58 ($false),
% 5.72/4.58 inference(unit_resolution,[status(thm)],[24276, 20779, 24270, 21667, 21207, 20769])).
% 5.72/4.58 tff(24278,plain,(~trans(s204, s164)), inference(lemma,lemma(discharge,[]))).
% 5.72/4.58 tff(24279,assumption,(trans(s204, s61)), introduced(assumption)).
% 5.72/4.58 tff(24280,plain,
% 5.72/4.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s61) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s61)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s61) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s61)))),
% 5.72/4.58 inference(rewrite,[status(thm)],[])).
% 5.72/4.58 tff(24281,plain,
% 5.72/4.58 (((~trans(s204, s61)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s61)) <=> (until2p29(s61) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s61)))),
% 5.72/4.58 inference(rewrite,[status(thm)],[])).
% 5.72/4.58 tff(24282,plain,
% 5.72/4.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s61)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s61))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s61) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s61))))),
% 5.72/4.58 inference(monotonicity,[status(thm)],[24281])).
% 5.72/4.58 tff(24283,plain,
% 5.72/4.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s61)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s61))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s61) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s61)))),
% 5.72/4.58 inference(transitivity,[status(thm)],[24282, 24280])).
% 5.72/4.58 tff(24284,plain,
% 5.72/4.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s61)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s61))),
% 5.72/4.58 inference(quant_inst,[status(thm)],[])).
% 5.72/4.58 tff(24285,plain,
% 5.72/4.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s61) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s61))),
% 5.72/4.58 inference(modus_ponens,[status(thm)],[24284, 24283])).
% 5.72/4.58 tff(24286,plain,
% 5.72/4.58 ($false),
% 5.72/4.58 inference(unit_resolution,[status(thm)],[24285, 20779, 24279, 21667, 22265, 20769])).
% 5.72/4.58 tff(24287,plain,(~trans(s204, s61)), inference(lemma,lemma(discharge,[]))).
% 5.72/4.58 tff(24288,plain,
% 5.72/4.58 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s0, s1)) | until2p29(s1) | (~xuntil2p30(s0)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s0, s1)) | until2p29(s1) | (~xuntil2p30(s0)))),
% 5.72/4.58 inference(rewrite,[status(thm)],[])).
% 5.72/4.58 tff(24289,plain,
% 5.72/4.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | ((~succ(s0, s1)) | until2p29(s1) | (~xuntil2p30(s0)))),
% 5.72/4.58 inference(quant_inst,[status(thm)],[])).
% 5.72/4.58 tff(24290,plain,
% 5.72/4.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p29(Y) | (~xuntil2p30(X)))) | (~succ(s0, s1)) | until2p29(s1) | (~xuntil2p30(s0))),
% 5.72/4.58 inference(modus_ponens,[status(thm)],[24289, 24288])).
% 5.72/4.58 tff(24291,plain,
% 5.72/4.58 (until2p29(s1) | (~xuntil2p30(s0))),
% 5.72/4.58 inference(unit_resolution,[status(thm)],[24290, 35, 20808])).
% 5.72/4.58 tff(24292,plain,
% 5.72/4.58 (~xuntil2p30(s0)),
% 5.72/4.58 inference(unit_resolution,[status(thm)],[24291, 23693])).
% 5.72/4.58 tff(24293,plain,
% 5.72/4.58 (((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s0) | xuntil2p30(s0) | (~until2p29(s0)))) <=> ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s0) | xuntil2p30(s0) | (~until2p29(s0)))),
% 5.72/4.58 inference(rewrite,[status(thm)],[])).
% 5.72/4.58 tff(24294,plain,
% 5.72/4.58 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | (node26(s0) | xuntil2p30(s0) | (~until2p29(s0)))),
% 5.72/4.58 inference(quant_inst,[status(thm)],[])).
% 5.72/4.58 tff(24295,plain,
% 5.72/4.58 ((~![X: $i] : (node26(X) | xuntil2p30(X) | (~until2p29(X)))) | node26(s0) | xuntil2p30(s0) | (~until2p29(s0))),
% 5.72/4.58 inference(modus_ponens,[status(thm)],[24294, 24293])).
% 5.72/4.58 tff(24296,plain,
% 5.72/4.58 (xuntil2p30(s0) | (~until2p29(s0))),
% 5.72/4.58 inference(unit_resolution,[status(thm)],[24295, 20793, 17979])).
% 5.72/4.58 tff(24297,plain,
% 5.72/4.58 (~until2p29(s0)),
% 5.72/4.58 inference(unit_resolution,[status(thm)],[24296, 24292])).
% 5.72/4.58 tff(24298,assumption,(trans(s204, s0)), introduced(assumption)).
% 5.72/4.58 tff(24299,plain,
% 5.72/4.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~last(s204)) | (~xuntil28(s204)) | until2p29(s0) | (~trans(s204, s0)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s0) | (~trans(s204, s0)))),
% 5.72/4.58 inference(rewrite,[status(thm)],[])).
% 5.72/4.58 tff(24300,plain,
% 5.72/4.58 (((~trans(s204, s0)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s0)) <=> ((~last(s204)) | (~xuntil28(s204)) | until2p29(s0) | (~trans(s204, s0)))),
% 5.72/4.58 inference(rewrite,[status(thm)],[])).
% 5.72/4.58 tff(24301,plain,
% 5.72/4.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s0)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s0))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~last(s204)) | (~xuntil28(s204)) | until2p29(s0) | (~trans(s204, s0))))),
% 5.72/4.58 inference(monotonicity,[status(thm)],[24300])).
% 5.72/4.58 tff(24302,plain,
% 5.72/4.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s0)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s0))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s0) | (~trans(s204, s0)))),
% 5.72/4.58 inference(transitivity,[status(thm)],[24301, 24299])).
% 5.72/4.58 tff(24303,plain,
% 5.72/4.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s0)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s0))),
% 5.72/4.58 inference(quant_inst,[status(thm)],[])).
% 5.72/4.58 tff(24304,plain,
% 5.72/4.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s0) | (~trans(s204, s0))),
% 5.72/4.58 inference(modus_ponens,[status(thm)],[24303, 24302])).
% 5.72/4.58 tff(24305,plain,
% 5.72/4.58 ($false),
% 5.72/4.58 inference(unit_resolution,[status(thm)],[24304, 20779, 24298, 21667, 20769, 24297])).
% 5.72/4.58 tff(24306,plain,(~trans(s204, s0)), inference(lemma,lemma(discharge,[]))).
% 5.72/4.58 tff(24307,assumption,(trans(s204, s154)), introduced(assumption)).
% 5.72/4.58 tff(24308,plain,
% 5.72/4.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s154) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s154)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s154) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s154)))),
% 5.72/4.58 inference(rewrite,[status(thm)],[])).
% 5.72/4.58 tff(24309,plain,
% 5.72/4.58 (((~trans(s204, s154)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s154)) <=> (until2p29(s154) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s154)))),
% 5.72/4.58 inference(rewrite,[status(thm)],[])).
% 5.72/4.58 tff(24310,plain,
% 5.72/4.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s154)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s154))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s154) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s154))))),
% 5.72/4.58 inference(monotonicity,[status(thm)],[24309])).
% 5.72/4.58 tff(24311,plain,
% 5.72/4.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s154)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s154))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s154) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s154)))),
% 5.72/4.58 inference(transitivity,[status(thm)],[24310, 24308])).
% 5.72/4.58 tff(24312,plain,
% 5.72/4.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s154)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s154))),
% 5.72/4.58 inference(quant_inst,[status(thm)],[])).
% 5.72/4.58 tff(24313,plain,
% 5.72/4.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s154) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s154))),
% 5.72/4.58 inference(modus_ponens,[status(thm)],[24312, 24311])).
% 5.72/4.58 tff(24314,plain,
% 5.72/4.58 ($false),
% 5.72/4.58 inference(unit_resolution,[status(thm)],[24313, 20779, 24307, 21667, 21307, 20769])).
% 5.72/4.58 tff(24315,plain,(~trans(s204, s154)), inference(lemma,lemma(discharge,[]))).
% 5.72/4.58 tff(24316,assumption,(trans(s204, s163)), introduced(assumption)).
% 5.72/4.58 tff(24317,plain,
% 5.72/4.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s163) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s163)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s163) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s163)))),
% 5.72/4.58 inference(rewrite,[status(thm)],[])).
% 5.72/4.58 tff(24318,plain,
% 5.72/4.58 (((~trans(s204, s163)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s163)) <=> (until2p29(s163) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s163)))),
% 5.72/4.58 inference(rewrite,[status(thm)],[])).
% 5.72/4.58 tff(24319,plain,
% 5.72/4.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s163)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s163))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s163) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s163))))),
% 5.72/4.58 inference(monotonicity,[status(thm)],[24318])).
% 5.72/4.58 tff(24320,plain,
% 5.72/4.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s163)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s163))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s163) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s163)))),
% 5.72/4.58 inference(transitivity,[status(thm)],[24319, 24317])).
% 5.72/4.58 tff(24321,plain,
% 5.72/4.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s163)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s163))),
% 5.72/4.58 inference(quant_inst,[status(thm)],[])).
% 5.72/4.58 tff(24322,plain,
% 5.72/4.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s163) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s163))),
% 5.72/4.58 inference(modus_ponens,[status(thm)],[24321, 24320])).
% 5.72/4.58 tff(24323,plain,
% 5.72/4.58 ($false),
% 5.72/4.58 inference(unit_resolution,[status(thm)],[24322, 20779, 24316, 21667, 21217, 20769])).
% 5.72/4.58 tff(24324,plain,(~trans(s204, s163)), inference(lemma,lemma(discharge,[]))).
% 5.72/4.58 tff(24325,assumption,(trans(s204, s172)), introduced(assumption)).
% 5.72/4.58 tff(24326,plain,
% 5.72/4.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s172) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s172)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s172) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s172)))),
% 5.72/4.58 inference(rewrite,[status(thm)],[])).
% 5.72/4.58 tff(24327,plain,
% 5.72/4.58 (((~trans(s204, s172)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s172)) <=> (until2p29(s172) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s172)))),
% 5.72/4.58 inference(rewrite,[status(thm)],[])).
% 5.72/4.58 tff(24328,plain,
% 5.72/4.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s172)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s172))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s172) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s172))))),
% 5.72/4.58 inference(monotonicity,[status(thm)],[24327])).
% 5.72/4.58 tff(24329,plain,
% 5.72/4.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s172)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s172))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s172) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s172)))),
% 5.72/4.58 inference(transitivity,[status(thm)],[24328, 24326])).
% 5.72/4.58 tff(24330,plain,
% 5.72/4.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s172)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s172))),
% 5.72/4.58 inference(quant_inst,[status(thm)],[])).
% 5.72/4.58 tff(24331,plain,
% 5.72/4.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s172) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s172))),
% 5.72/4.58 inference(modus_ponens,[status(thm)],[24330, 24329])).
% 5.72/4.58 tff(24332,plain,
% 5.72/4.58 ($false),
% 5.72/4.58 inference(unit_resolution,[status(thm)],[24331, 20779, 24325, 21667, 21127, 20769])).
% 5.72/4.58 tff(24333,plain,(~trans(s204, s172)), inference(lemma,lemma(discharge,[]))).
% 5.72/4.58 tff(24334,assumption,(trans(s204, s169)), introduced(assumption)).
% 5.72/4.58 tff(24335,plain,
% 5.72/4.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s169) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s169)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s169) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s169)))),
% 5.72/4.58 inference(rewrite,[status(thm)],[])).
% 5.72/4.58 tff(24336,plain,
% 5.72/4.58 (((~trans(s204, s169)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s169)) <=> (until2p29(s169) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s169)))),
% 5.72/4.58 inference(rewrite,[status(thm)],[])).
% 5.72/4.58 tff(24337,plain,
% 5.72/4.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s169)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s169))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s169) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s169))))),
% 5.72/4.58 inference(monotonicity,[status(thm)],[24336])).
% 5.72/4.58 tff(24338,plain,
% 5.72/4.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s169)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s169))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s169) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s169)))),
% 5.72/4.58 inference(transitivity,[status(thm)],[24337, 24335])).
% 5.72/4.58 tff(24339,plain,
% 5.72/4.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s169)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s169))),
% 5.72/4.58 inference(quant_inst,[status(thm)],[])).
% 5.72/4.58 tff(24340,plain,
% 5.72/4.58 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s169) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s169))),
% 5.72/4.58 inference(modus_ponens,[status(thm)],[24339, 24338])).
% 5.72/4.58 tff(24341,plain,
% 5.72/4.58 ($false),
% 5.72/4.58 inference(unit_resolution,[status(thm)],[24340, 20779, 24334, 21667, 21157, 20769])).
% 5.72/4.58 tff(24342,plain,(~trans(s204, s169)), inference(lemma,lemma(discharge,[]))).
% 5.72/4.58 tff(24343,assumption,(trans(s204, s181)), introduced(assumption)).
% 5.72/4.58 tff(24344,plain,
% 5.72/4.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s181) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s181)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s181) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s181)))),
% 5.72/4.58 inference(rewrite,[status(thm)],[])).
% 5.72/4.58 tff(24345,plain,
% 5.72/4.58 (((~trans(s204, s181)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s181)) <=> (until2p29(s181) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s181)))),
% 5.72/4.58 inference(rewrite,[status(thm)],[])).
% 5.72/4.58 tff(24346,plain,
% 5.72/4.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s181)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s181))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s181) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s181))))),
% 5.72/4.58 inference(monotonicity,[status(thm)],[24345])).
% 5.72/4.58 tff(24347,plain,
% 5.72/4.58 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s181)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s181))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s181) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s181)))),
% 5.72/4.58 inference(transitivity,[status(thm)],[24346, 24344])).
% 5.72/4.58 tff(24348,plain,
% 5.72/4.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s181)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s181))),
% 5.72/4.59 inference(quant_inst,[status(thm)],[])).
% 5.72/4.59 tff(24349,plain,
% 5.72/4.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s181) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s181))),
% 5.72/4.59 inference(modus_ponens,[status(thm)],[24348, 24347])).
% 5.72/4.59 tff(24350,plain,
% 5.72/4.59 ($false),
% 5.72/4.59 inference(unit_resolution,[status(thm)],[24349, 20779, 24343, 21667, 21037, 20769])).
% 5.72/4.59 tff(24351,plain,(~trans(s204, s181)), inference(lemma,lemma(discharge,[]))).
% 5.72/4.59 tff(24352,assumption,(trans(s204, s59)), introduced(assumption)).
% 5.72/4.59 tff(24353,plain,
% 5.72/4.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s59) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s59)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s59) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s59)))),
% 5.72/4.59 inference(rewrite,[status(thm)],[])).
% 5.72/4.59 tff(24354,plain,
% 5.72/4.59 (((~trans(s204, s59)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s59)) <=> (until2p29(s59) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s59)))),
% 5.72/4.59 inference(rewrite,[status(thm)],[])).
% 5.72/4.59 tff(24355,plain,
% 5.72/4.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s59)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s59))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s59) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s59))))),
% 5.72/4.59 inference(monotonicity,[status(thm)],[24354])).
% 5.72/4.59 tff(24356,plain,
% 5.72/4.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s59)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s59))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s59) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s59)))),
% 5.72/4.59 inference(transitivity,[status(thm)],[24355, 24353])).
% 5.72/4.59 tff(24357,plain,
% 5.72/4.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s59)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s59))),
% 5.72/4.59 inference(quant_inst,[status(thm)],[])).
% 5.72/4.59 tff(24358,plain,
% 5.72/4.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s59) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s59))),
% 5.72/4.59 inference(modus_ponens,[status(thm)],[24357, 24356])).
% 5.72/4.59 tff(24359,plain,
% 5.72/4.59 ($false),
% 5.72/4.59 inference(unit_resolution,[status(thm)],[24358, 20779, 24352, 21667, 22285, 20769])).
% 5.72/4.59 tff(24360,plain,(~trans(s204, s59)), inference(lemma,lemma(discharge,[]))).
% 5.72/4.59 tff(24361,assumption,(trans(s204, s77)), introduced(assumption)).
% 5.72/4.59 tff(24362,plain,
% 5.72/4.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s77) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s77)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s77) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s77)))),
% 5.72/4.59 inference(rewrite,[status(thm)],[])).
% 5.72/4.59 tff(24363,plain,
% 5.72/4.59 (((~trans(s204, s77)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s77)) <=> (until2p29(s77) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s77)))),
% 5.72/4.59 inference(rewrite,[status(thm)],[])).
% 5.72/4.59 tff(24364,plain,
% 5.72/4.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s77)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s77))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s77) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s77))))),
% 5.72/4.59 inference(monotonicity,[status(thm)],[24363])).
% 5.72/4.59 tff(24365,plain,
% 5.72/4.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s77)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s77))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s77) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s77)))),
% 5.72/4.59 inference(transitivity,[status(thm)],[24364, 24362])).
% 5.72/4.59 tff(24366,plain,
% 5.72/4.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s77)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s77))),
% 5.72/4.59 inference(quant_inst,[status(thm)],[])).
% 5.72/4.59 tff(24367,plain,
% 5.72/4.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s77) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s77))),
% 5.72/4.59 inference(modus_ponens,[status(thm)],[24366, 24365])).
% 5.72/4.59 tff(24368,plain,
% 5.72/4.59 ($false),
% 5.72/4.59 inference(unit_resolution,[status(thm)],[24367, 20779, 24361, 21667, 22105, 20769])).
% 5.72/4.59 tff(24369,plain,(~trans(s204, s77)), inference(lemma,lemma(discharge,[]))).
% 5.72/4.59 tff(24370,assumption,(trans(s204, s189)), introduced(assumption)).
% 5.72/4.59 tff(24371,plain,
% 5.72/4.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s189) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s189)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s189) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s189)))),
% 5.72/4.59 inference(rewrite,[status(thm)],[])).
% 5.72/4.59 tff(24372,plain,
% 5.72/4.59 (((~trans(s204, s189)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s189)) <=> (until2p29(s189) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s189)))),
% 5.72/4.59 inference(rewrite,[status(thm)],[])).
% 5.72/4.59 tff(24373,plain,
% 5.72/4.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s189)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s189))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s189) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s189))))),
% 5.72/4.59 inference(monotonicity,[status(thm)],[24372])).
% 5.72/4.59 tff(24374,plain,
% 5.72/4.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s189)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s189))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s189) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s189)))),
% 5.72/4.59 inference(transitivity,[status(thm)],[24373, 24371])).
% 5.72/4.59 tff(24375,plain,
% 5.72/4.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s189)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s189))),
% 5.72/4.59 inference(quant_inst,[status(thm)],[])).
% 5.72/4.59 tff(24376,plain,
% 5.72/4.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s189) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s189))),
% 5.72/4.59 inference(modus_ponens,[status(thm)],[24375, 24374])).
% 5.72/4.59 tff(24377,plain,
% 5.72/4.59 ($false),
% 5.72/4.59 inference(unit_resolution,[status(thm)],[24376, 20779, 24370, 21667, 20957, 20769])).
% 5.72/4.59 tff(24378,plain,(~trans(s204, s189)), inference(lemma,lemma(discharge,[]))).
% 5.72/4.59 tff(24379,assumption,(trans(s204, s76)), introduced(assumption)).
% 5.72/4.59 tff(24380,plain,
% 5.72/4.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s76) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s76)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s76) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s76)))),
% 5.72/4.59 inference(rewrite,[status(thm)],[])).
% 5.72/4.59 tff(24381,plain,
% 5.72/4.59 (((~trans(s204, s76)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s76)) <=> (until2p29(s76) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s76)))),
% 5.72/4.59 inference(rewrite,[status(thm)],[])).
% 5.72/4.59 tff(24382,plain,
% 5.72/4.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s76)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s76))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s76) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s76))))),
% 5.72/4.59 inference(monotonicity,[status(thm)],[24381])).
% 5.72/4.59 tff(24383,plain,
% 5.72/4.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s76)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s76))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s76) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s76)))),
% 5.72/4.59 inference(transitivity,[status(thm)],[24382, 24380])).
% 5.72/4.59 tff(24384,plain,
% 5.72/4.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s76)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s76))),
% 5.72/4.59 inference(quant_inst,[status(thm)],[])).
% 5.72/4.59 tff(24385,plain,
% 5.72/4.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s76) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s76))),
% 5.72/4.59 inference(modus_ponens,[status(thm)],[24384, 24383])).
% 5.72/4.59 tff(24386,plain,
% 5.72/4.59 ($false),
% 5.72/4.59 inference(unit_resolution,[status(thm)],[24385, 20779, 24379, 21667, 22115, 20769])).
% 5.72/4.59 tff(24387,plain,(~trans(s204, s76)), inference(lemma,lemma(discharge,[]))).
% 5.72/4.59 tff(24388,assumption,(trans(s204, s151)), introduced(assumption)).
% 5.72/4.59 tff(24389,plain,
% 5.72/4.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s151) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s151)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s151) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s151)))),
% 5.72/4.59 inference(rewrite,[status(thm)],[])).
% 5.72/4.59 tff(24390,plain,
% 5.72/4.59 (((~trans(s204, s151)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s151)) <=> (until2p29(s151) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s151)))),
% 5.72/4.59 inference(rewrite,[status(thm)],[])).
% 5.72/4.59 tff(24391,plain,
% 5.72/4.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s151)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s151))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s151) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s151))))),
% 5.72/4.59 inference(monotonicity,[status(thm)],[24390])).
% 5.72/4.59 tff(24392,plain,
% 5.72/4.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s151)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s151))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s151) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s151)))),
% 5.72/4.59 inference(transitivity,[status(thm)],[24391, 24389])).
% 5.72/4.59 tff(24393,plain,
% 5.72/4.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s151)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s151))),
% 5.72/4.59 inference(quant_inst,[status(thm)],[])).
% 5.72/4.59 tff(24394,plain,
% 5.72/4.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s151) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s151))),
% 5.72/4.59 inference(modus_ponens,[status(thm)],[24393, 24392])).
% 5.72/4.59 tff(24395,plain,
% 5.72/4.59 ($false),
% 5.72/4.59 inference(unit_resolution,[status(thm)],[24394, 20779, 24388, 21667, 21337, 20769])).
% 5.72/4.59 tff(24396,plain,(~trans(s204, s151)), inference(lemma,lemma(discharge,[]))).
% 5.72/4.59 tff(24397,assumption,(trans(s204, s68)), introduced(assumption)).
% 5.72/4.59 tff(24398,plain,
% 5.72/4.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s68) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s68)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s68) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s68)))),
% 5.72/4.59 inference(rewrite,[status(thm)],[])).
% 5.72/4.59 tff(24399,plain,
% 5.72/4.59 (((~trans(s204, s68)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s68)) <=> (until2p29(s68) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s68)))),
% 5.72/4.59 inference(rewrite,[status(thm)],[])).
% 5.72/4.59 tff(24400,plain,
% 5.72/4.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s68)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s68))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s68) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s68))))),
% 5.72/4.59 inference(monotonicity,[status(thm)],[24399])).
% 5.72/4.59 tff(24401,plain,
% 5.72/4.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s68)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s68))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s68) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s68)))),
% 5.72/4.59 inference(transitivity,[status(thm)],[24400, 24398])).
% 5.72/4.59 tff(24402,plain,
% 5.72/4.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s68)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s68))),
% 5.72/4.59 inference(quant_inst,[status(thm)],[])).
% 5.72/4.59 tff(24403,plain,
% 5.72/4.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s68) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s68))),
% 5.72/4.59 inference(modus_ponens,[status(thm)],[24402, 24401])).
% 5.72/4.59 tff(24404,plain,
% 5.72/4.59 ($false),
% 5.72/4.59 inference(unit_resolution,[status(thm)],[24403, 20779, 24397, 21667, 22195, 20769])).
% 5.72/4.59 tff(24405,plain,(~trans(s204, s68)), inference(lemma,lemma(discharge,[]))).
% 5.72/4.59 tff(24406,assumption,(trans(s204, s150)), introduced(assumption)).
% 5.72/4.59 tff(24407,plain,
% 5.72/4.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s150) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s150)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s150) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s150)))),
% 5.72/4.59 inference(rewrite,[status(thm)],[])).
% 5.72/4.59 tff(24408,plain,
% 5.72/4.59 (((~trans(s204, s150)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s150)) <=> (until2p29(s150) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s150)))),
% 5.72/4.59 inference(rewrite,[status(thm)],[])).
% 5.72/4.59 tff(24409,plain,
% 5.72/4.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s150)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s150))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s150) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s150))))),
% 5.72/4.59 inference(monotonicity,[status(thm)],[24408])).
% 5.72/4.59 tff(24410,plain,
% 5.72/4.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s150)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s150))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s150) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s150)))),
% 5.72/4.59 inference(transitivity,[status(thm)],[24409, 24407])).
% 5.72/4.59 tff(24411,plain,
% 5.72/4.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s150)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s150))),
% 5.72/4.59 inference(quant_inst,[status(thm)],[])).
% 5.72/4.59 tff(24412,plain,
% 5.72/4.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s150) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s150))),
% 5.72/4.59 inference(modus_ponens,[status(thm)],[24411, 24410])).
% 5.72/4.59 tff(24413,plain,
% 5.72/4.59 ($false),
% 5.72/4.59 inference(unit_resolution,[status(thm)],[24412, 20779, 24406, 21667, 21347, 20769])).
% 5.72/4.59 tff(24414,plain,(~trans(s204, s150)), inference(lemma,lemma(discharge,[]))).
% 5.72/4.59 tff(24415,assumption,(trans(s204, s87)), introduced(assumption)).
% 5.72/4.59 tff(24416,plain,
% 5.72/4.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s87) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s87)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s87) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s87)))),
% 5.72/4.59 inference(rewrite,[status(thm)],[])).
% 5.72/4.59 tff(24417,plain,
% 5.72/4.59 (((~trans(s204, s87)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s87)) <=> (until2p29(s87) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s87)))),
% 5.72/4.59 inference(rewrite,[status(thm)],[])).
% 5.72/4.59 tff(24418,plain,
% 5.72/4.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s87)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s87))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s87) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s87))))),
% 5.72/4.59 inference(monotonicity,[status(thm)],[24417])).
% 5.72/4.59 tff(24419,plain,
% 5.72/4.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s87)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s87))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s87) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s87)))),
% 5.72/4.59 inference(transitivity,[status(thm)],[24418, 24416])).
% 5.72/4.59 tff(24420,plain,
% 5.72/4.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s87)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s87))),
% 5.72/4.59 inference(quant_inst,[status(thm)],[])).
% 5.72/4.59 tff(24421,plain,
% 5.72/4.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s87) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s87))),
% 5.72/4.59 inference(modus_ponens,[status(thm)],[24420, 24419])).
% 5.72/4.59 tff(24422,plain,
% 5.72/4.59 ($false),
% 5.72/4.59 inference(unit_resolution,[status(thm)],[24421, 20779, 24415, 21667, 22005, 20769])).
% 5.72/4.59 tff(24423,plain,(~trans(s204, s87)), inference(lemma,lemma(discharge,[]))).
% 5.72/4.59 tff(24424,assumption,(trans(s204, s79)), introduced(assumption)).
% 5.72/4.59 tff(24425,plain,
% 5.72/4.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s79) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s79)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s79) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s79)))),
% 5.72/4.59 inference(rewrite,[status(thm)],[])).
% 5.72/4.59 tff(24426,plain,
% 5.72/4.59 (((~trans(s204, s79)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s79)) <=> (until2p29(s79) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s79)))),
% 5.72/4.59 inference(rewrite,[status(thm)],[])).
% 5.72/4.59 tff(24427,plain,
% 5.72/4.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s79)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s79))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s79) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s79))))),
% 5.72/4.59 inference(monotonicity,[status(thm)],[24426])).
% 5.72/4.59 tff(24428,plain,
% 5.72/4.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s79)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s79))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s79) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s79)))),
% 5.72/4.59 inference(transitivity,[status(thm)],[24427, 24425])).
% 5.72/4.59 tff(24429,plain,
% 5.72/4.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s79)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s79))),
% 5.72/4.59 inference(quant_inst,[status(thm)],[])).
% 5.72/4.59 tff(24430,plain,
% 5.72/4.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s79) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s79))),
% 5.72/4.59 inference(modus_ponens,[status(thm)],[24429, 24428])).
% 5.72/4.59 tff(24431,plain,
% 5.72/4.59 ($false),
% 5.72/4.59 inference(unit_resolution,[status(thm)],[24430, 20779, 24424, 21667, 22085, 20769])).
% 5.72/4.59 tff(24432,plain,(~trans(s204, s79)), inference(lemma,lemma(discharge,[]))).
% 5.72/4.59 tff(24433,assumption,(trans(s204, s128)), introduced(assumption)).
% 5.72/4.59 tff(24434,plain,
% 5.72/4.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s128) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s128)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s128) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s128)))),
% 5.72/4.59 inference(rewrite,[status(thm)],[])).
% 5.72/4.59 tff(24435,plain,
% 5.72/4.59 (((~trans(s204, s128)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s128)) <=> (until2p29(s128) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s128)))),
% 5.72/4.59 inference(rewrite,[status(thm)],[])).
% 5.72/4.59 tff(24436,plain,
% 5.72/4.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s128)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s128))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s128) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s128))))),
% 5.72/4.59 inference(monotonicity,[status(thm)],[24435])).
% 5.72/4.59 tff(24437,plain,
% 5.72/4.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s128)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s128))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s128) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s128)))),
% 5.72/4.59 inference(transitivity,[status(thm)],[24436, 24434])).
% 5.72/4.59 tff(24438,plain,
% 5.72/4.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s128)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s128))),
% 5.72/4.59 inference(quant_inst,[status(thm)],[])).
% 5.72/4.59 tff(24439,plain,
% 5.72/4.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s128) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s128))),
% 5.72/4.59 inference(modus_ponens,[status(thm)],[24438, 24437])).
% 5.72/4.59 tff(24440,plain,
% 5.72/4.59 ($false),
% 5.72/4.59 inference(unit_resolution,[status(thm)],[24439, 20779, 24433, 21667, 21567, 20769])).
% 5.72/4.59 tff(24441,plain,(~trans(s204, s128)), inference(lemma,lemma(discharge,[]))).
% 5.72/4.59 tff(24442,assumption,(trans(s204, s194)), introduced(assumption)).
% 5.72/4.59 tff(24443,plain,
% 5.72/4.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s194) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s194)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s194) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s194)))),
% 5.72/4.59 inference(rewrite,[status(thm)],[])).
% 5.72/4.59 tff(24444,plain,
% 5.72/4.59 (((~trans(s204, s194)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s194)) <=> (until2p29(s194) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s194)))),
% 5.72/4.59 inference(rewrite,[status(thm)],[])).
% 5.72/4.59 tff(24445,plain,
% 5.72/4.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s194)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s194))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s194) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s194))))),
% 5.72/4.59 inference(monotonicity,[status(thm)],[24444])).
% 5.72/4.59 tff(24446,plain,
% 5.72/4.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s194)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s194))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s194) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s194)))),
% 5.72/4.59 inference(transitivity,[status(thm)],[24445, 24443])).
% 5.72/4.59 tff(24447,plain,
% 5.72/4.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s194)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s194))),
% 5.72/4.59 inference(quant_inst,[status(thm)],[])).
% 5.72/4.59 tff(24448,plain,
% 5.72/4.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s194) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s194))),
% 5.72/4.59 inference(modus_ponens,[status(thm)],[24447, 24446])).
% 5.72/4.59 tff(24449,plain,
% 5.72/4.59 ($false),
% 5.72/4.59 inference(unit_resolution,[status(thm)],[24448, 20779, 24442, 21667, 20907, 20769])).
% 5.72/4.59 tff(24450,plain,(~trans(s204, s194)), inference(lemma,lemma(discharge,[]))).
% 5.72/4.59 tff(24451,assumption,(trans(s204, s198)), introduced(assumption)).
% 5.72/4.59 tff(24452,plain,
% 5.72/4.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s198) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s198)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s198) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s198)))),
% 5.72/4.59 inference(rewrite,[status(thm)],[])).
% 5.72/4.59 tff(24453,plain,
% 5.72/4.59 (((~trans(s204, s198)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s198)) <=> (until2p29(s198) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s198)))),
% 5.72/4.59 inference(rewrite,[status(thm)],[])).
% 5.72/4.59 tff(24454,plain,
% 5.72/4.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s198)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s198))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s198) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s198))))),
% 5.72/4.59 inference(monotonicity,[status(thm)],[24453])).
% 5.72/4.59 tff(24455,plain,
% 5.72/4.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s198)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s198))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s198) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s198)))),
% 5.72/4.59 inference(transitivity,[status(thm)],[24454, 24452])).
% 5.72/4.59 tff(24456,plain,
% 5.72/4.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s198)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s198))),
% 5.72/4.59 inference(quant_inst,[status(thm)],[])).
% 5.72/4.59 tff(24457,plain,
% 5.72/4.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s198) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s198))),
% 5.72/4.59 inference(modus_ponens,[status(thm)],[24456, 24455])).
% 5.72/4.59 tff(24458,plain,
% 5.72/4.59 ($false),
% 5.72/4.59 inference(unit_resolution,[status(thm)],[24457, 20779, 24451, 21667, 20867, 20769])).
% 5.72/4.59 tff(24459,plain,(~trans(s204, s198)), inference(lemma,lemma(discharge,[]))).
% 5.72/4.59 tff(24460,assumption,(trans(s204, s162)), introduced(assumption)).
% 5.72/4.59 tff(24461,plain,
% 5.72/4.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s162) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s162)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s162) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s162)))),
% 5.72/4.59 inference(rewrite,[status(thm)],[])).
% 5.72/4.59 tff(24462,plain,
% 5.72/4.59 (((~trans(s204, s162)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s162)) <=> (until2p29(s162) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s162)))),
% 5.72/4.59 inference(rewrite,[status(thm)],[])).
% 5.72/4.59 tff(24463,plain,
% 5.72/4.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s162)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s162))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s162) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s162))))),
% 5.72/4.59 inference(monotonicity,[status(thm)],[24462])).
% 5.72/4.59 tff(24464,plain,
% 5.72/4.59 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s162)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s162))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s162) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s162)))),
% 5.72/4.59 inference(transitivity,[status(thm)],[24463, 24461])).
% 5.72/4.59 tff(24465,plain,
% 5.72/4.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s162)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s162))),
% 5.72/4.59 inference(quant_inst,[status(thm)],[])).
% 5.72/4.59 tff(24466,plain,
% 5.72/4.59 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s162) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s162))),
% 5.72/4.59 inference(modus_ponens,[status(thm)],[24465, 24464])).
% 5.72/4.60 tff(24467,plain,
% 5.72/4.60 ($false),
% 5.72/4.60 inference(unit_resolution,[status(thm)],[24466, 20779, 24460, 21667, 21227, 20769])).
% 5.72/4.60 tff(24468,plain,(~trans(s204, s162)), inference(lemma,lemma(discharge,[]))).
% 5.72/4.60 tff(24469,assumption,(trans(s204, s165)), introduced(assumption)).
% 5.72/4.60 tff(24470,plain,
% 5.72/4.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s165) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s165)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s165) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s165)))),
% 5.72/4.60 inference(rewrite,[status(thm)],[])).
% 5.72/4.60 tff(24471,plain,
% 5.72/4.60 (((~trans(s204, s165)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s165)) <=> (until2p29(s165) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s165)))),
% 5.72/4.60 inference(rewrite,[status(thm)],[])).
% 5.72/4.60 tff(24472,plain,
% 5.72/4.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s165)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s165))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s165) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s165))))),
% 5.72/4.60 inference(monotonicity,[status(thm)],[24471])).
% 5.72/4.60 tff(24473,plain,
% 5.72/4.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s165)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s165))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s165) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s165)))),
% 5.72/4.60 inference(transitivity,[status(thm)],[24472, 24470])).
% 5.72/4.60 tff(24474,plain,
% 5.72/4.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s165)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s165))),
% 5.72/4.60 inference(quant_inst,[status(thm)],[])).
% 5.72/4.60 tff(24475,plain,
% 5.72/4.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s165) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s165))),
% 5.72/4.60 inference(modus_ponens,[status(thm)],[24474, 24473])).
% 5.72/4.60 tff(24476,plain,
% 5.72/4.60 ($false),
% 5.72/4.60 inference(unit_resolution,[status(thm)],[24475, 20779, 24469, 21667, 21197, 20769])).
% 5.72/4.60 tff(24477,plain,(~trans(s204, s165)), inference(lemma,lemma(discharge,[]))).
% 5.72/4.60 tff(24478,assumption,(trans(s204, s178)), introduced(assumption)).
% 5.72/4.60 tff(24479,plain,
% 5.72/4.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s178) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s178)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s178) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s178)))),
% 5.72/4.60 inference(rewrite,[status(thm)],[])).
% 5.72/4.60 tff(24480,plain,
% 5.72/4.60 (((~trans(s204, s178)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s178)) <=> (until2p29(s178) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s178)))),
% 5.72/4.60 inference(rewrite,[status(thm)],[])).
% 5.72/4.60 tff(24481,plain,
% 5.72/4.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s178)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s178))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s178) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s178))))),
% 5.72/4.60 inference(monotonicity,[status(thm)],[24480])).
% 5.72/4.60 tff(24482,plain,
% 5.72/4.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s178)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s178))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s178) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s178)))),
% 5.72/4.60 inference(transitivity,[status(thm)],[24481, 24479])).
% 5.72/4.60 tff(24483,plain,
% 5.72/4.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s178)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s178))),
% 5.72/4.60 inference(quant_inst,[status(thm)],[])).
% 5.72/4.60 tff(24484,plain,
% 5.72/4.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s178) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s178))),
% 5.72/4.60 inference(modus_ponens,[status(thm)],[24483, 24482])).
% 5.72/4.60 tff(24485,plain,
% 5.72/4.60 ($false),
% 5.72/4.60 inference(unit_resolution,[status(thm)],[24484, 20779, 24478, 21667, 21067, 20769])).
% 5.72/4.60 tff(24486,plain,(~trans(s204, s178)), inference(lemma,lemma(discharge,[]))).
% 5.72/4.60 tff(24487,assumption,(trans(s204, s161)), introduced(assumption)).
% 5.72/4.60 tff(24488,plain,
% 5.72/4.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s161) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s161)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s161) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s161)))),
% 5.72/4.60 inference(rewrite,[status(thm)],[])).
% 5.72/4.60 tff(24489,plain,
% 5.72/4.60 (((~trans(s204, s161)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s161)) <=> (until2p29(s161) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s161)))),
% 5.72/4.60 inference(rewrite,[status(thm)],[])).
% 5.72/4.60 tff(24490,plain,
% 5.72/4.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s161)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s161))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s161) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s161))))),
% 5.72/4.60 inference(monotonicity,[status(thm)],[24489])).
% 5.72/4.60 tff(24491,plain,
% 5.72/4.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s161)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s161))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s161) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s161)))),
% 5.72/4.60 inference(transitivity,[status(thm)],[24490, 24488])).
% 5.72/4.60 tff(24492,plain,
% 5.72/4.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s161)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s161))),
% 5.72/4.60 inference(quant_inst,[status(thm)],[])).
% 5.72/4.60 tff(24493,plain,
% 5.72/4.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s161) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s161))),
% 5.72/4.60 inference(modus_ponens,[status(thm)],[24492, 24491])).
% 5.72/4.60 tff(24494,plain,
% 5.72/4.60 ($false),
% 5.72/4.60 inference(unit_resolution,[status(thm)],[24493, 20779, 24487, 21667, 21237, 20769])).
% 5.72/4.60 tff(24495,plain,(~trans(s204, s161)), inference(lemma,lemma(discharge,[]))).
% 5.72/4.60 tff(24496,assumption,(trans(s204, s179)), introduced(assumption)).
% 5.72/4.60 tff(24497,plain,
% 5.72/4.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s179) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s179)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s179) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s179)))),
% 5.72/4.60 inference(rewrite,[status(thm)],[])).
% 5.72/4.60 tff(24498,plain,
% 5.72/4.60 (((~trans(s204, s179)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s179)) <=> (until2p29(s179) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s179)))),
% 5.72/4.60 inference(rewrite,[status(thm)],[])).
% 5.72/4.60 tff(24499,plain,
% 5.72/4.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s179)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s179))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s179) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s179))))),
% 5.72/4.60 inference(monotonicity,[status(thm)],[24498])).
% 5.72/4.60 tff(24500,plain,
% 5.72/4.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s179)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s179))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s179) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s179)))),
% 5.72/4.60 inference(transitivity,[status(thm)],[24499, 24497])).
% 5.72/4.60 tff(24501,plain,
% 5.72/4.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s179)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s179))),
% 5.72/4.60 inference(quant_inst,[status(thm)],[])).
% 5.72/4.60 tff(24502,plain,
% 5.72/4.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s179) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s179))),
% 5.72/4.60 inference(modus_ponens,[status(thm)],[24501, 24500])).
% 5.72/4.60 tff(24503,plain,
% 5.72/4.60 ($false),
% 5.72/4.60 inference(unit_resolution,[status(thm)],[24502, 20779, 24496, 21667, 21057, 20769])).
% 5.72/4.60 tff(24504,plain,(~trans(s204, s179)), inference(lemma,lemma(discharge,[]))).
% 5.72/4.60 tff(24505,assumption,(trans(s204, s147)), introduced(assumption)).
% 5.72/4.60 tff(24506,plain,
% 5.72/4.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s147) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s147)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s147) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s147)))),
% 5.72/4.60 inference(rewrite,[status(thm)],[])).
% 5.72/4.60 tff(24507,plain,
% 5.72/4.60 (((~trans(s204, s147)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s147)) <=> (until2p29(s147) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s147)))),
% 5.72/4.60 inference(rewrite,[status(thm)],[])).
% 5.72/4.60 tff(24508,plain,
% 5.72/4.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s147)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s147))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s147) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s147))))),
% 5.72/4.60 inference(monotonicity,[status(thm)],[24507])).
% 5.72/4.60 tff(24509,plain,
% 5.72/4.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s147)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s147))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s147) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s147)))),
% 5.72/4.60 inference(transitivity,[status(thm)],[24508, 24506])).
% 5.72/4.60 tff(24510,plain,
% 5.72/4.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s147)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s147))),
% 5.72/4.60 inference(quant_inst,[status(thm)],[])).
% 5.72/4.60 tff(24511,plain,
% 5.72/4.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s147) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s147))),
% 5.72/4.60 inference(modus_ponens,[status(thm)],[24510, 24509])).
% 5.72/4.60 tff(24512,plain,
% 5.72/4.60 ($false),
% 5.72/4.60 inference(unit_resolution,[status(thm)],[24511, 20779, 24505, 21667, 21377, 20769])).
% 5.72/4.60 tff(24513,plain,(~trans(s204, s147)), inference(lemma,lemma(discharge,[]))).
% 5.72/4.60 tff(24514,assumption,(trans(s204, s182)), introduced(assumption)).
% 5.72/4.60 tff(24515,plain,
% 5.72/4.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s182) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s182)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s182) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s182)))),
% 5.72/4.60 inference(rewrite,[status(thm)],[])).
% 5.72/4.60 tff(24516,plain,
% 5.72/4.60 (((~trans(s204, s182)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s182)) <=> (until2p29(s182) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s182)))),
% 5.72/4.60 inference(rewrite,[status(thm)],[])).
% 5.72/4.60 tff(24517,plain,
% 5.72/4.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s182)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s182))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s182) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s182))))),
% 5.72/4.60 inference(monotonicity,[status(thm)],[24516])).
% 5.72/4.60 tff(24518,plain,
% 5.72/4.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s182)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s182))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s182) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s182)))),
% 5.72/4.60 inference(transitivity,[status(thm)],[24517, 24515])).
% 5.72/4.60 tff(24519,plain,
% 5.72/4.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s182)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s182))),
% 5.72/4.60 inference(quant_inst,[status(thm)],[])).
% 5.72/4.60 tff(24520,plain,
% 5.72/4.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s182) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s182))),
% 5.72/4.60 inference(modus_ponens,[status(thm)],[24519, 24518])).
% 5.72/4.60 tff(24521,plain,
% 5.72/4.60 ($false),
% 5.72/4.60 inference(unit_resolution,[status(thm)],[24520, 20779, 24514, 21667, 21027, 20769])).
% 5.72/4.60 tff(24522,plain,(~trans(s204, s182)), inference(lemma,lemma(discharge,[]))).
% 5.72/4.60 tff(24523,assumption,(trans(s204, s18)), introduced(assumption)).
% 5.72/4.60 tff(24524,plain,
% 5.72/4.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s18) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s18)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s18) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s18)))),
% 5.72/4.60 inference(rewrite,[status(thm)],[])).
% 5.72/4.60 tff(24525,plain,
% 5.72/4.60 (((~trans(s204, s18)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s18)) <=> (until2p29(s18) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s18)))),
% 5.72/4.60 inference(rewrite,[status(thm)],[])).
% 5.72/4.60 tff(24526,plain,
% 5.72/4.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s18)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s18))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s18) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s18))))),
% 5.72/4.60 inference(monotonicity,[status(thm)],[24525])).
% 5.72/4.60 tff(24527,plain,
% 5.72/4.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s18)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s18))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s18) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s18)))),
% 5.72/4.60 inference(transitivity,[status(thm)],[24526, 24524])).
% 5.72/4.60 tff(24528,plain,
% 5.72/4.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s18)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s18))),
% 5.72/4.60 inference(quant_inst,[status(thm)],[])).
% 5.72/4.60 tff(24529,plain,
% 5.72/4.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s18) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s18))),
% 5.72/4.60 inference(modus_ponens,[status(thm)],[24528, 24527])).
% 5.72/4.60 tff(24530,plain,
% 5.72/4.60 ($false),
% 5.72/4.60 inference(unit_resolution,[status(thm)],[24529, 20779, 24523, 21667, 22695, 20769])).
% 5.72/4.60 tff(24531,plain,(~trans(s204, s18)), inference(lemma,lemma(discharge,[]))).
% 5.72/4.60 tff(24532,assumption,(trans(s204, s14)), introduced(assumption)).
% 5.72/4.60 tff(24533,plain,
% 5.72/4.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s14) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s14)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s14) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s14)))),
% 5.72/4.60 inference(rewrite,[status(thm)],[])).
% 5.72/4.60 tff(24534,plain,
% 5.72/4.60 (((~trans(s204, s14)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s14)) <=> (until2p29(s14) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s14)))),
% 5.72/4.60 inference(rewrite,[status(thm)],[])).
% 5.72/4.60 tff(24535,plain,
% 5.72/4.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s14)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s14))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s14) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s14))))),
% 5.72/4.60 inference(monotonicity,[status(thm)],[24534])).
% 5.72/4.60 tff(24536,plain,
% 5.72/4.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s14)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s14))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s14) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s14)))),
% 5.72/4.60 inference(transitivity,[status(thm)],[24535, 24533])).
% 5.72/4.60 tff(24537,plain,
% 5.72/4.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s14)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s14))),
% 5.72/4.60 inference(quant_inst,[status(thm)],[])).
% 5.72/4.60 tff(24538,plain,
% 5.72/4.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s14) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s14))),
% 5.72/4.60 inference(modus_ponens,[status(thm)],[24537, 24536])).
% 5.72/4.60 tff(24539,plain,
% 5.72/4.60 ($false),
% 5.72/4.60 inference(unit_resolution,[status(thm)],[24538, 20779, 24532, 21667, 22735, 20769])).
% 5.72/4.60 tff(24540,plain,(~trans(s204, s14)), inference(lemma,lemma(discharge,[]))).
% 5.72/4.60 tff(24541,assumption,(trans(s204, s15)), introduced(assumption)).
% 5.72/4.60 tff(24542,plain,
% 5.72/4.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s15) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s15)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s15) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s15)))),
% 5.72/4.60 inference(rewrite,[status(thm)],[])).
% 5.72/4.60 tff(24543,plain,
% 5.72/4.60 (((~trans(s204, s15)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s15)) <=> (until2p29(s15) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s15)))),
% 5.72/4.60 inference(rewrite,[status(thm)],[])).
% 5.72/4.60 tff(24544,plain,
% 5.72/4.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s15)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s15))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s15) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s15))))),
% 5.72/4.60 inference(monotonicity,[status(thm)],[24543])).
% 5.72/4.60 tff(24545,plain,
% 5.72/4.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s15)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s15))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s15) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s15)))),
% 5.72/4.60 inference(transitivity,[status(thm)],[24544, 24542])).
% 5.72/4.60 tff(24546,plain,
% 5.72/4.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s15)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s15))),
% 5.72/4.60 inference(quant_inst,[status(thm)],[])).
% 5.72/4.60 tff(24547,plain,
% 5.72/4.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s15) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s15))),
% 5.72/4.60 inference(modus_ponens,[status(thm)],[24546, 24545])).
% 5.72/4.60 tff(24548,plain,
% 5.72/4.60 ($false),
% 5.72/4.60 inference(unit_resolution,[status(thm)],[24547, 20779, 24541, 21667, 22725, 20769])).
% 5.72/4.60 tff(24549,plain,(~trans(s204, s15)), inference(lemma,lemma(discharge,[]))).
% 5.72/4.60 tff(24550,assumption,(trans(s204, s17)), introduced(assumption)).
% 5.72/4.60 tff(24551,plain,
% 5.72/4.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s17) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s17)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s17) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s17)))),
% 5.72/4.60 inference(rewrite,[status(thm)],[])).
% 5.72/4.60 tff(24552,plain,
% 5.72/4.60 (((~trans(s204, s17)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s17)) <=> (until2p29(s17) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s17)))),
% 5.72/4.60 inference(rewrite,[status(thm)],[])).
% 5.72/4.60 tff(24553,plain,
% 5.72/4.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s17)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s17))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s17) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s17))))),
% 5.72/4.60 inference(monotonicity,[status(thm)],[24552])).
% 5.72/4.60 tff(24554,plain,
% 5.72/4.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s17)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s17))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s17) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s17)))),
% 5.72/4.60 inference(transitivity,[status(thm)],[24553, 24551])).
% 5.72/4.60 tff(24555,plain,
% 5.72/4.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s17)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s17))),
% 5.72/4.60 inference(quant_inst,[status(thm)],[])).
% 5.72/4.60 tff(24556,plain,
% 5.72/4.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s17) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s17))),
% 5.72/4.60 inference(modus_ponens,[status(thm)],[24555, 24554])).
% 5.72/4.60 tff(24557,plain,
% 5.72/4.60 ($false),
% 5.72/4.60 inference(unit_resolution,[status(thm)],[24556, 20779, 24550, 21667, 22705, 20769])).
% 5.72/4.60 tff(24558,plain,(~trans(s204, s17)), inference(lemma,lemma(discharge,[]))).
% 5.72/4.60 tff(24559,assumption,(trans(s204, s19)), introduced(assumption)).
% 5.72/4.60 tff(24560,plain,
% 5.72/4.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s19) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s19)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s19) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s19)))),
% 5.72/4.60 inference(rewrite,[status(thm)],[])).
% 5.72/4.60 tff(24561,plain,
% 5.72/4.60 (((~trans(s204, s19)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s19)) <=> (until2p29(s19) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s19)))),
% 5.72/4.60 inference(rewrite,[status(thm)],[])).
% 5.72/4.60 tff(24562,plain,
% 5.72/4.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s19)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s19))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s19) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s19))))),
% 5.72/4.60 inference(monotonicity,[status(thm)],[24561])).
% 5.72/4.60 tff(24563,plain,
% 5.72/4.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s19)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s19))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s19) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s19)))),
% 5.72/4.60 inference(transitivity,[status(thm)],[24562, 24560])).
% 5.72/4.60 tff(24564,plain,
% 5.72/4.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s19)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s19))),
% 5.72/4.60 inference(quant_inst,[status(thm)],[])).
% 5.72/4.60 tff(24565,plain,
% 5.72/4.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s19) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s19))),
% 5.72/4.60 inference(modus_ponens,[status(thm)],[24564, 24563])).
% 5.72/4.60 tff(24566,plain,
% 5.72/4.60 ($false),
% 5.72/4.60 inference(unit_resolution,[status(thm)],[24565, 20779, 24559, 21667, 22685, 20769])).
% 5.72/4.60 tff(24567,plain,(~trans(s204, s19)), inference(lemma,lemma(discharge,[]))).
% 5.72/4.60 tff(24568,assumption,(trans(s204, s21)), introduced(assumption)).
% 5.72/4.60 tff(24569,plain,
% 5.72/4.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s21) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s21)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s21) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s21)))),
% 5.72/4.60 inference(rewrite,[status(thm)],[])).
% 5.72/4.60 tff(24570,plain,
% 5.72/4.60 (((~trans(s204, s21)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s21)) <=> (until2p29(s21) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s21)))),
% 5.72/4.60 inference(rewrite,[status(thm)],[])).
% 5.72/4.60 tff(24571,plain,
% 5.72/4.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s21)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s21))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s21) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s21))))),
% 5.72/4.60 inference(monotonicity,[status(thm)],[24570])).
% 5.72/4.60 tff(24572,plain,
% 5.72/4.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s21)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s21))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s21) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s21)))),
% 5.72/4.60 inference(transitivity,[status(thm)],[24571, 24569])).
% 5.72/4.60 tff(24573,plain,
% 5.72/4.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s21)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s21))),
% 5.72/4.60 inference(quant_inst,[status(thm)],[])).
% 5.72/4.60 tff(24574,plain,
% 5.72/4.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s21) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s21))),
% 5.72/4.60 inference(modus_ponens,[status(thm)],[24573, 24572])).
% 5.72/4.60 tff(24575,plain,
% 5.72/4.60 ($false),
% 5.72/4.60 inference(unit_resolution,[status(thm)],[24574, 20779, 24568, 21667, 22665, 20769])).
% 5.72/4.60 tff(24576,plain,(~trans(s204, s21)), inference(lemma,lemma(discharge,[]))).
% 5.72/4.60 tff(24577,assumption,(trans(s204, s23)), introduced(assumption)).
% 5.72/4.60 tff(24578,plain,
% 5.72/4.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s23) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s23)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s23) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s23)))),
% 5.72/4.60 inference(rewrite,[status(thm)],[])).
% 5.72/4.60 tff(24579,plain,
% 5.72/4.60 (((~trans(s204, s23)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s23)) <=> (until2p29(s23) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s23)))),
% 5.72/4.60 inference(rewrite,[status(thm)],[])).
% 5.72/4.60 tff(24580,plain,
% 5.72/4.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s23)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s23))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s23) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s23))))),
% 5.72/4.60 inference(monotonicity,[status(thm)],[24579])).
% 5.72/4.60 tff(24581,plain,
% 5.72/4.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s23)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s23))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s23) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s23)))),
% 5.72/4.60 inference(transitivity,[status(thm)],[24580, 24578])).
% 5.72/4.60 tff(24582,plain,
% 5.72/4.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s23)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s23))),
% 5.72/4.60 inference(quant_inst,[status(thm)],[])).
% 5.72/4.60 tff(24583,plain,
% 5.72/4.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s23) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s23))),
% 5.72/4.60 inference(modus_ponens,[status(thm)],[24582, 24581])).
% 5.72/4.60 tff(24584,plain,
% 5.72/4.60 ($false),
% 5.72/4.60 inference(unit_resolution,[status(thm)],[24583, 20779, 24577, 21667, 22645, 20769])).
% 5.72/4.60 tff(24585,plain,(~trans(s204, s23)), inference(lemma,lemma(discharge,[]))).
% 5.72/4.60 tff(24586,assumption,(trans(s204, s25)), introduced(assumption)).
% 5.72/4.60 tff(24587,plain,
% 5.72/4.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s25) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s25)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s25) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s25)))),
% 5.72/4.61 inference(rewrite,[status(thm)],[])).
% 5.72/4.61 tff(24588,plain,
% 5.72/4.61 (((~trans(s204, s25)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s25)) <=> (until2p29(s25) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s25)))),
% 5.72/4.61 inference(rewrite,[status(thm)],[])).
% 5.72/4.61 tff(24589,plain,
% 5.72/4.61 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s25)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s25))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s25) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s25))))),
% 5.72/4.61 inference(monotonicity,[status(thm)],[24588])).
% 5.72/4.61 tff(24590,plain,
% 5.72/4.61 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s25)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s25))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s25) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s25)))),
% 5.72/4.61 inference(transitivity,[status(thm)],[24589, 24587])).
% 5.72/4.61 tff(24591,plain,
% 5.72/4.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s25)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s25))),
% 5.72/4.61 inference(quant_inst,[status(thm)],[])).
% 5.72/4.61 tff(24592,plain,
% 5.72/4.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s25) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s25))),
% 5.72/4.61 inference(modus_ponens,[status(thm)],[24591, 24590])).
% 5.72/4.61 tff(24593,plain,
% 5.72/4.61 ($false),
% 5.72/4.61 inference(unit_resolution,[status(thm)],[24592, 20779, 24586, 21667, 22625, 20769])).
% 5.72/4.61 tff(24594,plain,(~trans(s204, s25)), inference(lemma,lemma(discharge,[]))).
% 5.72/4.61 tff(24595,assumption,(trans(s204, s27)), introduced(assumption)).
% 5.72/4.61 tff(24596,plain,
% 5.72/4.61 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s27) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s27)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s27) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s27)))),
% 5.72/4.61 inference(rewrite,[status(thm)],[])).
% 5.72/4.61 tff(24597,plain,
% 5.72/4.61 (((~trans(s204, s27)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s27)) <=> (until2p29(s27) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s27)))),
% 5.72/4.61 inference(rewrite,[status(thm)],[])).
% 5.72/4.61 tff(24598,plain,
% 5.72/4.61 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s27)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s27))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s27) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s27))))),
% 5.72/4.61 inference(monotonicity,[status(thm)],[24597])).
% 5.72/4.61 tff(24599,plain,
% 5.72/4.61 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s27)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s27))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s27) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s27)))),
% 5.72/4.61 inference(transitivity,[status(thm)],[24598, 24596])).
% 5.72/4.61 tff(24600,plain,
% 5.72/4.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s27)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s27))),
% 5.72/4.61 inference(quant_inst,[status(thm)],[])).
% 5.72/4.61 tff(24601,plain,
% 5.72/4.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s27) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s27))),
% 5.72/4.61 inference(modus_ponens,[status(thm)],[24600, 24599])).
% 5.72/4.61 tff(24602,plain,
% 5.72/4.61 ($false),
% 5.72/4.61 inference(unit_resolution,[status(thm)],[24601, 20779, 24595, 21667, 22605, 20769])).
% 5.72/4.61 tff(24603,plain,(~trans(s204, s27)), inference(lemma,lemma(discharge,[]))).
% 5.72/4.61 tff(24604,assumption,(trans(s204, s29)), introduced(assumption)).
% 5.72/4.61 tff(24605,plain,
% 5.72/4.61 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s29) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s29)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s29) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s29)))),
% 5.72/4.61 inference(rewrite,[status(thm)],[])).
% 5.72/4.61 tff(24606,plain,
% 5.72/4.61 (((~trans(s204, s29)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s29)) <=> (until2p29(s29) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s29)))),
% 5.72/4.61 inference(rewrite,[status(thm)],[])).
% 5.72/4.61 tff(24607,plain,
% 5.72/4.61 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s29)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s29))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s29) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s29))))),
% 5.72/4.61 inference(monotonicity,[status(thm)],[24606])).
% 5.72/4.61 tff(24608,plain,
% 5.72/4.61 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s29)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s29))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s29) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s29)))),
% 5.72/4.61 inference(transitivity,[status(thm)],[24607, 24605])).
% 5.72/4.61 tff(24609,plain,
% 5.72/4.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s29)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s29))),
% 5.72/4.61 inference(quant_inst,[status(thm)],[])).
% 5.72/4.61 tff(24610,plain,
% 5.72/4.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s29) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s29))),
% 5.72/4.61 inference(modus_ponens,[status(thm)],[24609, 24608])).
% 5.72/4.61 tff(24611,plain,
% 5.72/4.61 ($false),
% 5.72/4.61 inference(unit_resolution,[status(thm)],[24610, 20779, 24604, 21667, 22585, 20769])).
% 5.72/4.61 tff(24612,plain,(~trans(s204, s29)), inference(lemma,lemma(discharge,[]))).
% 5.72/4.61 tff(24613,assumption,(trans(s204, s31)), introduced(assumption)).
% 5.72/4.61 tff(24614,plain,
% 5.72/4.61 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s31) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s31)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s31) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s31)))),
% 5.72/4.61 inference(rewrite,[status(thm)],[])).
% 5.72/4.61 tff(24615,plain,
% 5.72/4.61 (((~trans(s204, s31)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s31)) <=> (until2p29(s31) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s31)))),
% 5.72/4.61 inference(rewrite,[status(thm)],[])).
% 5.72/4.61 tff(24616,plain,
% 5.72/4.61 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s31)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s31))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s31) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s31))))),
% 5.72/4.61 inference(monotonicity,[status(thm)],[24615])).
% 5.72/4.61 tff(24617,plain,
% 5.72/4.61 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s31)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s31))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s31) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s31)))),
% 5.72/4.61 inference(transitivity,[status(thm)],[24616, 24614])).
% 5.72/4.61 tff(24618,plain,
% 5.72/4.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s31)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s31))),
% 5.72/4.61 inference(quant_inst,[status(thm)],[])).
% 5.72/4.61 tff(24619,plain,
% 5.72/4.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s31) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s31))),
% 5.72/4.61 inference(modus_ponens,[status(thm)],[24618, 24617])).
% 5.72/4.61 tff(24620,plain,
% 5.72/4.61 ($false),
% 5.72/4.61 inference(unit_resolution,[status(thm)],[24619, 20779, 24613, 21667, 22565, 20769])).
% 5.72/4.61 tff(24621,plain,(~trans(s204, s31)), inference(lemma,lemma(discharge,[]))).
% 5.72/4.61 tff(24622,assumption,(trans(s204, s33)), introduced(assumption)).
% 5.72/4.61 tff(24623,plain,
% 5.72/4.61 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s33) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s33)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s33) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s33)))),
% 5.72/4.61 inference(rewrite,[status(thm)],[])).
% 5.72/4.61 tff(24624,plain,
% 5.72/4.61 (((~trans(s204, s33)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s33)) <=> (until2p29(s33) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s33)))),
% 5.72/4.61 inference(rewrite,[status(thm)],[])).
% 5.72/4.61 tff(24625,plain,
% 5.72/4.61 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s33)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s33))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s33) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s33))))),
% 5.72/4.61 inference(monotonicity,[status(thm)],[24624])).
% 5.72/4.61 tff(24626,plain,
% 5.72/4.61 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s33)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s33))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s33) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s33)))),
% 5.72/4.61 inference(transitivity,[status(thm)],[24625, 24623])).
% 5.72/4.61 tff(24627,plain,
% 5.72/4.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s33)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s33))),
% 5.72/4.61 inference(quant_inst,[status(thm)],[])).
% 5.72/4.61 tff(24628,plain,
% 5.72/4.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s33) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s33))),
% 5.72/4.61 inference(modus_ponens,[status(thm)],[24627, 24626])).
% 5.72/4.61 tff(24629,plain,
% 5.72/4.61 ($false),
% 5.72/4.61 inference(unit_resolution,[status(thm)],[24628, 20779, 24622, 21667, 22545, 20769])).
% 5.72/4.61 tff(24630,plain,(~trans(s204, s33)), inference(lemma,lemma(discharge,[]))).
% 5.72/4.61 tff(24631,assumption,(trans(s204, s35)), introduced(assumption)).
% 5.72/4.61 tff(24632,plain,
% 5.72/4.61 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s35) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s35)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s35) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s35)))),
% 5.72/4.61 inference(rewrite,[status(thm)],[])).
% 5.72/4.61 tff(24633,plain,
% 5.72/4.61 (((~trans(s204, s35)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s35)) <=> (until2p29(s35) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s35)))),
% 5.72/4.61 inference(rewrite,[status(thm)],[])).
% 5.72/4.61 tff(24634,plain,
% 5.72/4.61 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s35)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s35))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s35) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s35))))),
% 5.72/4.61 inference(monotonicity,[status(thm)],[24633])).
% 5.72/4.61 tff(24635,plain,
% 5.72/4.61 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s35)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s35))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s35) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s35)))),
% 5.72/4.61 inference(transitivity,[status(thm)],[24634, 24632])).
% 5.72/4.61 tff(24636,plain,
% 5.72/4.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s35)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s35))),
% 5.72/4.61 inference(quant_inst,[status(thm)],[])).
% 5.72/4.61 tff(24637,plain,
% 5.72/4.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s35) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s35))),
% 5.72/4.61 inference(modus_ponens,[status(thm)],[24636, 24635])).
% 5.72/4.61 tff(24638,plain,
% 5.72/4.61 ($false),
% 5.72/4.61 inference(unit_resolution,[status(thm)],[24637, 20779, 24631, 21667, 22525, 20769])).
% 5.72/4.61 tff(24639,plain,(~trans(s204, s35)), inference(lemma,lemma(discharge,[]))).
% 5.72/4.61 tff(24640,assumption,(trans(s204, s37)), introduced(assumption)).
% 5.72/4.61 tff(24641,plain,
% 5.72/4.61 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s37) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s37)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s37) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s37)))),
% 5.72/4.61 inference(rewrite,[status(thm)],[])).
% 5.72/4.61 tff(24642,plain,
% 5.72/4.61 (((~trans(s204, s37)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s37)) <=> (until2p29(s37) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s37)))),
% 5.72/4.61 inference(rewrite,[status(thm)],[])).
% 5.72/4.61 tff(24643,plain,
% 5.72/4.61 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s37)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s37))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s37) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s37))))),
% 5.72/4.61 inference(monotonicity,[status(thm)],[24642])).
% 5.72/4.61 tff(24644,plain,
% 5.72/4.61 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s37)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s37))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s37) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s37)))),
% 5.72/4.61 inference(transitivity,[status(thm)],[24643, 24641])).
% 5.72/4.61 tff(24645,plain,
% 5.72/4.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s37)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s37))),
% 5.72/4.61 inference(quant_inst,[status(thm)],[])).
% 5.72/4.61 tff(24646,plain,
% 5.72/4.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s37) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s37))),
% 5.72/4.61 inference(modus_ponens,[status(thm)],[24645, 24644])).
% 5.72/4.61 tff(24647,plain,
% 5.72/4.61 ($false),
% 5.72/4.61 inference(unit_resolution,[status(thm)],[24646, 20779, 24640, 21667, 22505, 20769])).
% 5.72/4.61 tff(24648,plain,(~trans(s204, s37)), inference(lemma,lemma(discharge,[]))).
% 5.72/4.61 tff(24649,assumption,(trans(s204, s39)), introduced(assumption)).
% 5.72/4.61 tff(24650,plain,
% 5.72/4.61 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s39) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s39)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s39) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s39)))),
% 5.72/4.61 inference(rewrite,[status(thm)],[])).
% 5.72/4.61 tff(24651,plain,
% 5.72/4.61 (((~trans(s204, s39)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s39)) <=> (until2p29(s39) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s39)))),
% 5.72/4.61 inference(rewrite,[status(thm)],[])).
% 5.72/4.61 tff(24652,plain,
% 5.72/4.61 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s39)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s39))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s39) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s39))))),
% 5.72/4.61 inference(monotonicity,[status(thm)],[24651])).
% 5.72/4.61 tff(24653,plain,
% 5.72/4.61 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s39)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s39))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s39) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s39)))),
% 5.72/4.61 inference(transitivity,[status(thm)],[24652, 24650])).
% 5.72/4.61 tff(24654,plain,
% 5.72/4.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s39)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s39))),
% 5.72/4.61 inference(quant_inst,[status(thm)],[])).
% 5.72/4.61 tff(24655,plain,
% 5.72/4.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s39) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s39))),
% 5.72/4.61 inference(modus_ponens,[status(thm)],[24654, 24653])).
% 5.72/4.61 tff(24656,plain,
% 5.72/4.61 ($false),
% 5.72/4.61 inference(unit_resolution,[status(thm)],[24655, 20779, 24649, 21667, 22485, 20769])).
% 5.72/4.61 tff(24657,plain,(~trans(s204, s39)), inference(lemma,lemma(discharge,[]))).
% 5.72/4.61 tff(24658,assumption,(trans(s204, s41)), introduced(assumption)).
% 5.72/4.61 tff(24659,plain,
% 5.72/4.61 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s41) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s41)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s41) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s41)))),
% 5.72/4.61 inference(rewrite,[status(thm)],[])).
% 5.72/4.61 tff(24660,plain,
% 5.72/4.61 (((~trans(s204, s41)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s41)) <=> (until2p29(s41) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s41)))),
% 5.72/4.61 inference(rewrite,[status(thm)],[])).
% 5.72/4.61 tff(24661,plain,
% 5.72/4.61 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s41)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s41))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s41) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s41))))),
% 5.72/4.61 inference(monotonicity,[status(thm)],[24660])).
% 5.72/4.61 tff(24662,plain,
% 5.72/4.61 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s41)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s41))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s41) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s41)))),
% 5.72/4.61 inference(transitivity,[status(thm)],[24661, 24659])).
% 5.72/4.61 tff(24663,plain,
% 5.72/4.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s41)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s41))),
% 5.72/4.61 inference(quant_inst,[status(thm)],[])).
% 5.72/4.61 tff(24664,plain,
% 5.72/4.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s41) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s41))),
% 5.72/4.61 inference(modus_ponens,[status(thm)],[24663, 24662])).
% 5.72/4.61 tff(24665,plain,
% 5.72/4.61 ($false),
% 5.72/4.61 inference(unit_resolution,[status(thm)],[24664, 20779, 24658, 21667, 22465, 20769])).
% 5.72/4.61 tff(24666,plain,(~trans(s204, s41)), inference(lemma,lemma(discharge,[]))).
% 5.72/4.61 tff(24667,assumption,(trans(s204, s43)), introduced(assumption)).
% 5.72/4.61 tff(24668,plain,
% 5.72/4.61 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s43) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s43)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s43) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s43)))),
% 5.72/4.61 inference(rewrite,[status(thm)],[])).
% 5.72/4.61 tff(24669,plain,
% 5.72/4.61 (((~trans(s204, s43)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s43)) <=> (until2p29(s43) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s43)))),
% 5.72/4.61 inference(rewrite,[status(thm)],[])).
% 5.72/4.61 tff(24670,plain,
% 5.72/4.61 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s43)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s43))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s43) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s43))))),
% 5.72/4.61 inference(monotonicity,[status(thm)],[24669])).
% 5.72/4.61 tff(24671,plain,
% 5.72/4.61 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s43)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s43))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s43) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s43)))),
% 5.72/4.61 inference(transitivity,[status(thm)],[24670, 24668])).
% 5.72/4.61 tff(24672,plain,
% 5.72/4.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s43)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s43))),
% 5.72/4.61 inference(quant_inst,[status(thm)],[])).
% 5.72/4.61 tff(24673,plain,
% 5.72/4.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s43) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s43))),
% 5.72/4.61 inference(modus_ponens,[status(thm)],[24672, 24671])).
% 5.72/4.61 tff(24674,plain,
% 5.72/4.61 ($false),
% 5.72/4.61 inference(unit_resolution,[status(thm)],[24673, 20779, 24667, 21667, 22445, 20769])).
% 5.72/4.61 tff(24675,plain,(~trans(s204, s43)), inference(lemma,lemma(discharge,[]))).
% 5.72/4.61 tff(24676,assumption,(trans(s204, s45)), introduced(assumption)).
% 5.72/4.61 tff(24677,plain,
% 5.72/4.61 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s45) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s45)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s45) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s45)))),
% 5.72/4.61 inference(rewrite,[status(thm)],[])).
% 5.72/4.61 tff(24678,plain,
% 5.72/4.61 (((~trans(s204, s45)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s45)) <=> (until2p29(s45) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s45)))),
% 5.72/4.61 inference(rewrite,[status(thm)],[])).
% 5.72/4.61 tff(24679,plain,
% 5.72/4.61 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s45)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s45))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s45) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s45))))),
% 5.72/4.61 inference(monotonicity,[status(thm)],[24678])).
% 5.72/4.61 tff(24680,plain,
% 5.72/4.61 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s45)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s45))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s45) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s45)))),
% 5.72/4.61 inference(transitivity,[status(thm)],[24679, 24677])).
% 5.72/4.61 tff(24681,plain,
% 5.72/4.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s45)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s45))),
% 5.72/4.61 inference(quant_inst,[status(thm)],[])).
% 5.72/4.61 tff(24682,plain,
% 5.72/4.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s45) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s45))),
% 5.72/4.61 inference(modus_ponens,[status(thm)],[24681, 24680])).
% 5.72/4.61 tff(24683,plain,
% 5.72/4.61 ($false),
% 5.72/4.61 inference(unit_resolution,[status(thm)],[24682, 20779, 24676, 21667, 22425, 20769])).
% 5.72/4.61 tff(24684,plain,(~trans(s204, s45)), inference(lemma,lemma(discharge,[]))).
% 5.72/4.61 tff(24685,assumption,(trans(s204, s47)), introduced(assumption)).
% 5.72/4.61 tff(24686,plain,
% 5.72/4.61 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s47) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s47)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s47) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s47)))),
% 5.72/4.61 inference(rewrite,[status(thm)],[])).
% 5.72/4.61 tff(24687,plain,
% 5.72/4.61 (((~trans(s204, s47)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s47)) <=> (until2p29(s47) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s47)))),
% 5.72/4.61 inference(rewrite,[status(thm)],[])).
% 5.72/4.61 tff(24688,plain,
% 5.72/4.61 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s47)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s47))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s47) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s47))))),
% 5.72/4.61 inference(monotonicity,[status(thm)],[24687])).
% 5.72/4.61 tff(24689,plain,
% 5.72/4.61 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s47)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s47))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s47) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s47)))),
% 5.72/4.61 inference(transitivity,[status(thm)],[24688, 24686])).
% 5.72/4.61 tff(24690,plain,
% 5.72/4.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s47)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s47))),
% 5.72/4.61 inference(quant_inst,[status(thm)],[])).
% 5.72/4.61 tff(24691,plain,
% 5.72/4.61 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s47) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s47))),
% 5.72/4.61 inference(modus_ponens,[status(thm)],[24690, 24689])).
% 5.72/4.61 tff(24692,plain,
% 5.72/4.61 ($false),
% 5.72/4.61 inference(unit_resolution,[status(thm)],[24691, 20779, 24685, 21667, 22405, 20769])).
% 5.72/4.61 tff(24693,plain,(~trans(s204, s47)), inference(lemma,lemma(discharge,[]))).
% 5.72/4.61 tff(24694,plain,
% 5.72/4.61 (^[X: $i] : refl((loop | (~last(X)) | (~xuntil28(X))) <=> (loop | (~last(X)) | (~xuntil28(X))))),
% 5.72/4.61 inference(bind,[status(th)],[])).
% 5.72/4.61 tff(24695,plain,
% 5.72/4.61 (![X: $i] : (loop | (~last(X)) | (~xuntil28(X))) <=> ![X: $i] : (loop | (~last(X)) | (~xuntil28(X)))),
% 5.72/4.61 inference(quant_intro,[status(thm)],[24694])).
% 5.72/4.61 tff(24696,plain,
% 5.72/4.61 (![X: $i] : (loop | (~last(X)) | (~xuntil28(X))) <=> ![X: $i] : (loop | (~last(X)) | (~xuntil28(X)))),
% 5.72/4.61 inference(rewrite,[status(thm)],[])).
% 5.72/4.61 tff(24697,plain,
% 5.72/4.61 (^[X: $i] : rewrite(((loop | (~last(X))) | (~xuntil28(X))) <=> (loop | (~last(X)) | (~xuntil28(X))))),
% 5.72/4.61 inference(bind,[status(th)],[])).
% 5.72/4.61 tff(24698,plain,
% 5.72/4.61 (![X: $i] : ((loop | (~last(X))) | (~xuntil28(X))) <=> ![X: $i] : (loop | (~last(X)) | (~xuntil28(X)))),
% 5.72/4.61 inference(quant_intro,[status(thm)],[24697])).
% 5.72/4.61 tff(24699,axiom,(![X: $i] : ((loop | (~last(X))) | (~xuntil28(X)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prpty21')).
% 5.72/4.61 tff(24700,plain,
% 5.72/4.61 (![X: $i] : (loop | (~last(X)) | (~xuntil28(X)))),
% 5.72/4.61 inference(modus_ponens,[status(thm)],[24699, 24698])).
% 5.72/4.61 tff(24701,plain,
% 5.72/4.61 (![X: $i] : (loop | (~last(X)) | (~xuntil28(X)))),
% 5.72/4.61 inference(modus_ponens,[status(thm)],[24700, 24696])).
% 5.72/4.61 tff(24702,plain,(
% 5.72/4.61 ![X: $i] : (loop | (~last(X)) | (~xuntil28(X)))),
% 5.72/4.61 inference(skolemize,[status(sab)],[24701])).
% 5.72/4.61 tff(24703,plain,
% 5.72/4.61 (![X: $i] : (loop | (~last(X)) | (~xuntil28(X)))),
% 5.72/4.61 inference(modus_ponens,[status(thm)],[24702, 24695])).
% 5.72/4.61 tff(24704,plain,
% 5.72/4.61 (((~![X: $i] : (loop | (~last(X)) | (~xuntil28(X)))) | (loop | (~last(s204)) | (~xuntil28(s204)))) <=> ((~![X: $i] : (loop | (~last(X)) | (~xuntil28(X)))) | loop | (~last(s204)) | (~xuntil28(s204)))),
% 5.72/4.61 inference(rewrite,[status(thm)],[])).
% 5.72/4.61 tff(24705,plain,
% 5.72/4.61 ((~![X: $i] : (loop | (~last(X)) | (~xuntil28(X)))) | (loop | (~last(s204)) | (~xuntil28(s204)))),
% 5.72/4.61 inference(quant_inst,[status(thm)],[])).
% 5.72/4.61 tff(24706,plain,
% 5.72/4.61 ((~![X: $i] : (loop | (~last(X)) | (~xuntil28(X)))) | loop | (~last(s204)) | (~xuntil28(s204))),
% 5.72/4.61 inference(modus_ponens,[status(thm)],[24705, 24704])).
% 5.72/4.61 tff(24707,plain,
% 5.72/4.61 (loop | (~xuntil28(s204))),
% 5.72/4.61 inference(unit_resolution,[status(thm)],[24706, 20779, 24703])).
% 5.72/4.61 tff(24708,plain,
% 5.72/4.61 (loop),
% 5.72/4.61 inference(unit_resolution,[status(thm)],[24707, 20769])).
% 5.72/4.61 tff(24709,plain,
% 5.72/4.61 (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179) | trans(s204, s180) | trans(s204, s181) | trans(s204, s182) | trans(s204, s183) | trans(s204, s184) | trans(s204, s185) | trans(s204, s186) | trans(s204, s187) | trans(s204, s188) | trans(s204, s189) | trans(s204, s190) | trans(s204, s191) | trans(s204, s192) | trans(s204, s193) | trans(s204, s194) | trans(s204, s195) | trans(s204, s196) | trans(s204, s197) | trans(s204, s198) | trans(s204, s199) | trans(s204, s200) | trans(s204, s201) | trans(s204, s202) | trans(s204, s203) | trans(s204, s204)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179) | trans(s204, s180) | trans(s204, s181) | trans(s204, s182) | trans(s204, s183) | trans(s204, s184) | trans(s204, s185) | trans(s204, s186) | trans(s204, s187) | trans(s204, s188) | trans(s204, s189) | trans(s204, s190) | trans(s204, s191) | trans(s204, s192) | trans(s204, s193) | trans(s204, s194) | trans(s204, s195) | trans(s204, s196) | trans(s204, s197) | trans(s204, s198) | trans(s204, s199) | trans(s204, s200) | trans(s204, s201) | trans(s204, s202) | trans(s204, s203) | trans(s204, s204))),
% 5.72/4.62 inference(rewrite,[status(thm)],[])).
% 5.72/4.62 tff(24710,plain,
% 5.72/4.62 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179) | trans(s204, s180) | trans(s204, s181) | trans(s204, s182) | trans(s204, s183) | trans(s204, s184) | trans(s204, s185) | trans(s204, s186) | trans(s204, s187) | trans(s204, s188) | trans(s204, s189) | trans(s204, s190) | trans(s204, s191) | trans(s204, s192) | trans(s204, s193) | trans(s204, s194) | trans(s204, s195) | trans(s204, s196) | trans(s204, s197) | trans(s204, s198) | trans(s204, s199) | trans(s204, s200) | trans(s204, s201) | trans(s204, s202) | trans(s204, s203)) | trans(s204, s204)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179) | trans(s204, s180) | trans(s204, s181) | trans(s204, s182) | trans(s204, s183) | trans(s204, s184) | trans(s204, s185) | trans(s204, s186) | trans(s204, s187) | trans(s204, s188) | trans(s204, s189) | trans(s204, s190) | trans(s204, s191) | trans(s204, s192) | trans(s204, s193) | trans(s204, s194) | trans(s204, s195) | trans(s204, s196) | trans(s204, s197) | trans(s204, s198) | trans(s204, s199) | trans(s204, s200) | trans(s204, s201) | trans(s204, s202) | trans(s204, s203) | trans(s204, s204))),
% 5.78/4.63 inference(rewrite,[status(thm)],[])).
% 5.78/4.63 tff(24711,plain,
% 5.78/4.63 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179) | trans(s204, s180) | trans(s204, s181) | trans(s204, s182) | trans(s204, s183) | trans(s204, s184) | trans(s204, s185) | trans(s204, s186) | trans(s204, s187) | trans(s204, s188) | trans(s204, s189) | trans(s204, s190) | trans(s204, s191) | trans(s204, s192) | trans(s204, s193) | trans(s204, s194) | trans(s204, s195) | trans(s204, s196) | trans(s204, s197) | trans(s204, s198) | trans(s204, s199) | trans(s204, s200) | trans(s204, s201) | trans(s204, s202)) | trans(s204, s203)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179) | trans(s204, s180) | trans(s204, s181) | trans(s204, s182) | trans(s204, s183) | trans(s204, s184) | trans(s204, s185) | trans(s204, s186) | trans(s204, s187) | trans(s204, s188) | trans(s204, s189) | trans(s204, s190) | trans(s204, s191) | trans(s204, s192) | trans(s204, s193) | trans(s204, s194) | trans(s204, s195) | trans(s204, s196) | trans(s204, s197) | trans(s204, s198) | trans(s204, s199) | trans(s204, s200) | trans(s204, s201) | trans(s204, s202) | trans(s204, s203))),
% 5.78/4.63 inference(rewrite,[status(thm)],[])).
% 5.78/4.63 tff(24712,plain,
% 5.78/4.63 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179) | trans(s204, s180) | trans(s204, s181) | trans(s204, s182) | trans(s204, s183) | trans(s204, s184) | trans(s204, s185) | trans(s204, s186) | trans(s204, s187) | trans(s204, s188) | trans(s204, s189) | trans(s204, s190) | trans(s204, s191) | trans(s204, s192) | trans(s204, s193) | trans(s204, s194) | trans(s204, s195) | trans(s204, s196) | trans(s204, s197) | trans(s204, s198) | trans(s204, s199) | trans(s204, s200) | trans(s204, s201)) | trans(s204, s202)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179) | trans(s204, s180) | trans(s204, s181) | trans(s204, s182) | trans(s204, s183) | trans(s204, s184) | trans(s204, s185) | trans(s204, s186) | trans(s204, s187) | trans(s204, s188) | trans(s204, s189) | trans(s204, s190) | trans(s204, s191) | trans(s204, s192) | trans(s204, s193) | trans(s204, s194) | trans(s204, s195) | trans(s204, s196) | trans(s204, s197) | trans(s204, s198) | trans(s204, s199) | trans(s204, s200) | trans(s204, s201) | trans(s204, s202))),
% 5.78/4.64 inference(rewrite,[status(thm)],[])).
% 5.78/4.64 tff(24713,plain,
% 5.78/4.64 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179) | trans(s204, s180) | trans(s204, s181) | trans(s204, s182) | trans(s204, s183) | trans(s204, s184) | trans(s204, s185) | trans(s204, s186) | trans(s204, s187) | trans(s204, s188) | trans(s204, s189) | trans(s204, s190) | trans(s204, s191) | trans(s204, s192) | trans(s204, s193) | trans(s204, s194) | trans(s204, s195) | trans(s204, s196) | trans(s204, s197) | trans(s204, s198) | trans(s204, s199) | trans(s204, s200)) | trans(s204, s201)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179) | trans(s204, s180) | trans(s204, s181) | trans(s204, s182) | trans(s204, s183) | trans(s204, s184) | trans(s204, s185) | trans(s204, s186) | trans(s204, s187) | trans(s204, s188) | trans(s204, s189) | trans(s204, s190) | trans(s204, s191) | trans(s204, s192) | trans(s204, s193) | trans(s204, s194) | trans(s204, s195) | trans(s204, s196) | trans(s204, s197) | trans(s204, s198) | trans(s204, s199) | trans(s204, s200) | trans(s204, s201))),
% 5.78/4.65 inference(rewrite,[status(thm)],[])).
% 5.78/4.65 tff(24714,plain,
% 5.78/4.65 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179) | trans(s204, s180) | trans(s204, s181) | trans(s204, s182) | trans(s204, s183) | trans(s204, s184) | trans(s204, s185) | trans(s204, s186) | trans(s204, s187) | trans(s204, s188) | trans(s204, s189) | trans(s204, s190) | trans(s204, s191) | trans(s204, s192) | trans(s204, s193) | trans(s204, s194) | trans(s204, s195) | trans(s204, s196) | trans(s204, s197) | trans(s204, s198) | trans(s204, s199)) | trans(s204, s200)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179) | trans(s204, s180) | trans(s204, s181) | trans(s204, s182) | trans(s204, s183) | trans(s204, s184) | trans(s204, s185) | trans(s204, s186) | trans(s204, s187) | trans(s204, s188) | trans(s204, s189) | trans(s204, s190) | trans(s204, s191) | trans(s204, s192) | trans(s204, s193) | trans(s204, s194) | trans(s204, s195) | trans(s204, s196) | trans(s204, s197) | trans(s204, s198) | trans(s204, s199) | trans(s204, s200))),
% 5.78/4.65 inference(rewrite,[status(thm)],[])).
% 5.78/4.65 tff(24715,plain,
% 5.78/4.65 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179) | trans(s204, s180) | trans(s204, s181) | trans(s204, s182) | trans(s204, s183) | trans(s204, s184) | trans(s204, s185) | trans(s204, s186) | trans(s204, s187) | trans(s204, s188) | trans(s204, s189) | trans(s204, s190) | trans(s204, s191) | trans(s204, s192) | trans(s204, s193) | trans(s204, s194) | trans(s204, s195) | trans(s204, s196) | trans(s204, s197) | trans(s204, s198)) | trans(s204, s199)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179) | trans(s204, s180) | trans(s204, s181) | trans(s204, s182) | trans(s204, s183) | trans(s204, s184) | trans(s204, s185) | trans(s204, s186) | trans(s204, s187) | trans(s204, s188) | trans(s204, s189) | trans(s204, s190) | trans(s204, s191) | trans(s204, s192) | trans(s204, s193) | trans(s204, s194) | trans(s204, s195) | trans(s204, s196) | trans(s204, s197) | trans(s204, s198) | trans(s204, s199))),
% 5.82/4.66 inference(rewrite,[status(thm)],[])).
% 5.82/4.66 tff(24716,plain,
% 5.82/4.66 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179) | trans(s204, s180) | trans(s204, s181) | trans(s204, s182) | trans(s204, s183) | trans(s204, s184) | trans(s204, s185) | trans(s204, s186) | trans(s204, s187) | trans(s204, s188) | trans(s204, s189) | trans(s204, s190) | trans(s204, s191) | trans(s204, s192) | trans(s204, s193) | trans(s204, s194) | trans(s204, s195) | trans(s204, s196) | trans(s204, s197)) | trans(s204, s198)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179) | trans(s204, s180) | trans(s204, s181) | trans(s204, s182) | trans(s204, s183) | trans(s204, s184) | trans(s204, s185) | trans(s204, s186) | trans(s204, s187) | trans(s204, s188) | trans(s204, s189) | trans(s204, s190) | trans(s204, s191) | trans(s204, s192) | trans(s204, s193) | trans(s204, s194) | trans(s204, s195) | trans(s204, s196) | trans(s204, s197) | trans(s204, s198))),
% 5.82/4.67 inference(rewrite,[status(thm)],[])).
% 5.82/4.67 tff(24717,plain,
% 5.82/4.67 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179) | trans(s204, s180) | trans(s204, s181) | trans(s204, s182) | trans(s204, s183) | trans(s204, s184) | trans(s204, s185) | trans(s204, s186) | trans(s204, s187) | trans(s204, s188) | trans(s204, s189) | trans(s204, s190) | trans(s204, s191) | trans(s204, s192) | trans(s204, s193) | trans(s204, s194) | trans(s204, s195) | trans(s204, s196)) | trans(s204, s197)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179) | trans(s204, s180) | trans(s204, s181) | trans(s204, s182) | trans(s204, s183) | trans(s204, s184) | trans(s204, s185) | trans(s204, s186) | trans(s204, s187) | trans(s204, s188) | trans(s204, s189) | trans(s204, s190) | trans(s204, s191) | trans(s204, s192) | trans(s204, s193) | trans(s204, s194) | trans(s204, s195) | trans(s204, s196) | trans(s204, s197))),
% 5.82/4.67 inference(rewrite,[status(thm)],[])).
% 5.82/4.67 tff(24718,plain,
% 5.82/4.67 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179) | trans(s204, s180) | trans(s204, s181) | trans(s204, s182) | trans(s204, s183) | trans(s204, s184) | trans(s204, s185) | trans(s204, s186) | trans(s204, s187) | trans(s204, s188) | trans(s204, s189) | trans(s204, s190) | trans(s204, s191) | trans(s204, s192) | trans(s204, s193) | trans(s204, s194) | trans(s204, s195)) | trans(s204, s196)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179) | trans(s204, s180) | trans(s204, s181) | trans(s204, s182) | trans(s204, s183) | trans(s204, s184) | trans(s204, s185) | trans(s204, s186) | trans(s204, s187) | trans(s204, s188) | trans(s204, s189) | trans(s204, s190) | trans(s204, s191) | trans(s204, s192) | trans(s204, s193) | trans(s204, s194) | trans(s204, s195) | trans(s204, s196))),
% 5.82/4.68 inference(rewrite,[status(thm)],[])).
% 5.82/4.68 tff(24719,plain,
% 5.82/4.68 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179) | trans(s204, s180) | trans(s204, s181) | trans(s204, s182) | trans(s204, s183) | trans(s204, s184) | trans(s204, s185) | trans(s204, s186) | trans(s204, s187) | trans(s204, s188) | trans(s204, s189) | trans(s204, s190) | trans(s204, s191) | trans(s204, s192) | trans(s204, s193) | trans(s204, s194)) | trans(s204, s195)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179) | trans(s204, s180) | trans(s204, s181) | trans(s204, s182) | trans(s204, s183) | trans(s204, s184) | trans(s204, s185) | trans(s204, s186) | trans(s204, s187) | trans(s204, s188) | trans(s204, s189) | trans(s204, s190) | trans(s204, s191) | trans(s204, s192) | trans(s204, s193) | trans(s204, s194) | trans(s204, s195))),
% 5.82/4.69 inference(rewrite,[status(thm)],[])).
% 5.82/4.69 tff(24720,plain,
% 5.82/4.69 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179) | trans(s204, s180) | trans(s204, s181) | trans(s204, s182) | trans(s204, s183) | trans(s204, s184) | trans(s204, s185) | trans(s204, s186) | trans(s204, s187) | trans(s204, s188) | trans(s204, s189) | trans(s204, s190) | trans(s204, s191) | trans(s204, s192) | trans(s204, s193)) | trans(s204, s194)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179) | trans(s204, s180) | trans(s204, s181) | trans(s204, s182) | trans(s204, s183) | trans(s204, s184) | trans(s204, s185) | trans(s204, s186) | trans(s204, s187) | trans(s204, s188) | trans(s204, s189) | trans(s204, s190) | trans(s204, s191) | trans(s204, s192) | trans(s204, s193) | trans(s204, s194))),
% 5.82/4.69 inference(rewrite,[status(thm)],[])).
% 5.82/4.69 tff(24721,plain,
% 5.82/4.69 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179) | trans(s204, s180) | trans(s204, s181) | trans(s204, s182) | trans(s204, s183) | trans(s204, s184) | trans(s204, s185) | trans(s204, s186) | trans(s204, s187) | trans(s204, s188) | trans(s204, s189) | trans(s204, s190) | trans(s204, s191) | trans(s204, s192)) | trans(s204, s193)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179) | trans(s204, s180) | trans(s204, s181) | trans(s204, s182) | trans(s204, s183) | trans(s204, s184) | trans(s204, s185) | trans(s204, s186) | trans(s204, s187) | trans(s204, s188) | trans(s204, s189) | trans(s204, s190) | trans(s204, s191) | trans(s204, s192) | trans(s204, s193))),
% 5.82/4.70 inference(rewrite,[status(thm)],[])).
% 5.82/4.70 tff(24722,plain,
% 5.82/4.70 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179) | trans(s204, s180) | trans(s204, s181) | trans(s204, s182) | trans(s204, s183) | trans(s204, s184) | trans(s204, s185) | trans(s204, s186) | trans(s204, s187) | trans(s204, s188) | trans(s204, s189) | trans(s204, s190) | trans(s204, s191)) | trans(s204, s192)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179) | trans(s204, s180) | trans(s204, s181) | trans(s204, s182) | trans(s204, s183) | trans(s204, s184) | trans(s204, s185) | trans(s204, s186) | trans(s204, s187) | trans(s204, s188) | trans(s204, s189) | trans(s204, s190) | trans(s204, s191) | trans(s204, s192))),
% 5.82/4.70 inference(rewrite,[status(thm)],[])).
% 5.82/4.70 tff(24723,plain,
% 5.82/4.70 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179) | trans(s204, s180) | trans(s204, s181) | trans(s204, s182) | trans(s204, s183) | trans(s204, s184) | trans(s204, s185) | trans(s204, s186) | trans(s204, s187) | trans(s204, s188) | trans(s204, s189) | trans(s204, s190)) | trans(s204, s191)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179) | trans(s204, s180) | trans(s204, s181) | trans(s204, s182) | trans(s204, s183) | trans(s204, s184) | trans(s204, s185) | trans(s204, s186) | trans(s204, s187) | trans(s204, s188) | trans(s204, s189) | trans(s204, s190) | trans(s204, s191))),
% 5.82/4.71 inference(rewrite,[status(thm)],[])).
% 5.82/4.71 tff(24724,plain,
% 5.82/4.71 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179) | trans(s204, s180) | trans(s204, s181) | trans(s204, s182) | trans(s204, s183) | trans(s204, s184) | trans(s204, s185) | trans(s204, s186) | trans(s204, s187) | trans(s204, s188) | trans(s204, s189)) | trans(s204, s190)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179) | trans(s204, s180) | trans(s204, s181) | trans(s204, s182) | trans(s204, s183) | trans(s204, s184) | trans(s204, s185) | trans(s204, s186) | trans(s204, s187) | trans(s204, s188) | trans(s204, s189) | trans(s204, s190))),
% 5.82/4.72 inference(rewrite,[status(thm)],[])).
% 5.82/4.72 tff(24725,plain,
% 5.82/4.72 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179) | trans(s204, s180) | trans(s204, s181) | trans(s204, s182) | trans(s204, s183) | trans(s204, s184) | trans(s204, s185) | trans(s204, s186) | trans(s204, s187) | trans(s204, s188)) | trans(s204, s189)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179) | trans(s204, s180) | trans(s204, s181) | trans(s204, s182) | trans(s204, s183) | trans(s204, s184) | trans(s204, s185) | trans(s204, s186) | trans(s204, s187) | trans(s204, s188) | trans(s204, s189))),
% 5.82/4.72 inference(rewrite,[status(thm)],[])).
% 5.82/4.72 tff(24726,plain,
% 5.82/4.72 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179) | trans(s204, s180) | trans(s204, s181) | trans(s204, s182) | trans(s204, s183) | trans(s204, s184) | trans(s204, s185) | trans(s204, s186) | trans(s204, s187)) | trans(s204, s188)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179) | trans(s204, s180) | trans(s204, s181) | trans(s204, s182) | trans(s204, s183) | trans(s204, s184) | trans(s204, s185) | trans(s204, s186) | trans(s204, s187) | trans(s204, s188))),
% 5.82/4.72 inference(rewrite,[status(thm)],[])).
% 5.82/4.72 tff(24727,plain,
% 5.82/4.72 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179) | trans(s204, s180) | trans(s204, s181) | trans(s204, s182) | trans(s204, s183) | trans(s204, s184) | trans(s204, s185) | trans(s204, s186)) | trans(s204, s187)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179) | trans(s204, s180) | trans(s204, s181) | trans(s204, s182) | trans(s204, s183) | trans(s204, s184) | trans(s204, s185) | trans(s204, s186) | trans(s204, s187))),
% 5.82/4.73 inference(rewrite,[status(thm)],[])).
% 5.82/4.73 tff(24728,plain,
% 5.82/4.73 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179) | trans(s204, s180) | trans(s204, s181) | trans(s204, s182) | trans(s204, s183) | trans(s204, s184) | trans(s204, s185)) | trans(s204, s186)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179) | trans(s204, s180) | trans(s204, s181) | trans(s204, s182) | trans(s204, s183) | trans(s204, s184) | trans(s204, s185) | trans(s204, s186))),
% 5.90/4.74 inference(rewrite,[status(thm)],[])).
% 5.90/4.74 tff(24729,plain,
% 5.90/4.74 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179) | trans(s204, s180) | trans(s204, s181) | trans(s204, s182) | trans(s204, s183) | trans(s204, s184)) | trans(s204, s185)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179) | trans(s204, s180) | trans(s204, s181) | trans(s204, s182) | trans(s204, s183) | trans(s204, s184) | trans(s204, s185))),
% 5.90/4.74 inference(rewrite,[status(thm)],[])).
% 5.90/4.74 tff(24730,plain,
% 5.90/4.74 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179) | trans(s204, s180) | trans(s204, s181) | trans(s204, s182) | trans(s204, s183)) | trans(s204, s184)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179) | trans(s204, s180) | trans(s204, s181) | trans(s204, s182) | trans(s204, s183) | trans(s204, s184))),
% 5.90/4.75 inference(rewrite,[status(thm)],[])).
% 5.90/4.75 tff(24731,plain,
% 5.90/4.75 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179) | trans(s204, s180) | trans(s204, s181) | trans(s204, s182)) | trans(s204, s183)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179) | trans(s204, s180) | trans(s204, s181) | trans(s204, s182) | trans(s204, s183))),
% 5.90/4.75 inference(rewrite,[status(thm)],[])).
% 5.90/4.75 tff(24732,plain,
% 5.90/4.75 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179) | trans(s204, s180) | trans(s204, s181)) | trans(s204, s182)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179) | trans(s204, s180) | trans(s204, s181) | trans(s204, s182))),
% 5.90/4.76 inference(rewrite,[status(thm)],[])).
% 5.90/4.76 tff(24733,plain,
% 5.90/4.76 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179) | trans(s204, s180)) | trans(s204, s181)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179) | trans(s204, s180) | trans(s204, s181))),
% 5.90/4.77 inference(rewrite,[status(thm)],[])).
% 5.90/4.77 tff(24734,plain,
% 5.90/4.77 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179)) | trans(s204, s180)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179) | trans(s204, s180))),
% 5.93/4.77 inference(rewrite,[status(thm)],[])).
% 5.93/4.77 tff(24735,plain,
% 5.93/4.77 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178)) | trans(s204, s179)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179))),
% 5.93/4.78 inference(rewrite,[status(thm)],[])).
% 5.93/4.78 tff(24736,plain,
% 5.93/4.78 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177)) | trans(s204, s178)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178))),
% 5.93/4.78 inference(rewrite,[status(thm)],[])).
% 5.93/4.78 tff(24737,plain,
% 5.93/4.78 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176)) | trans(s204, s177)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177))),
% 5.93/4.79 inference(rewrite,[status(thm)],[])).
% 5.93/4.79 tff(24738,plain,
% 5.93/4.79 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175)) | trans(s204, s176)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176))),
% 5.93/4.79 inference(rewrite,[status(thm)],[])).
% 5.93/4.79 tff(24739,plain,
% 5.93/4.79 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174)) | trans(s204, s175)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175))),
% 5.93/4.80 inference(rewrite,[status(thm)],[])).
% 5.93/4.80 tff(24740,plain,
% 5.93/4.80 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173)) | trans(s204, s174)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174))),
% 5.93/4.81 inference(rewrite,[status(thm)],[])).
% 5.93/4.81 tff(24741,plain,
% 5.93/4.81 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172)) | trans(s204, s173)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173))),
% 5.93/4.81 inference(rewrite,[status(thm)],[])).
% 5.93/4.81 tff(24742,plain,
% 5.93/4.81 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171)) | trans(s204, s172)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172))),
% 5.93/4.82 inference(rewrite,[status(thm)],[])).
% 5.93/4.82 tff(24743,plain,
% 5.93/4.82 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170)) | trans(s204, s171)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171))),
% 5.93/4.82 inference(rewrite,[status(thm)],[])).
% 5.93/4.82 tff(24744,plain,
% 5.93/4.82 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169)) | trans(s204, s170)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170))),
% 5.93/4.83 inference(rewrite,[status(thm)],[])).
% 5.93/4.83 tff(24745,plain,
% 5.93/4.83 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168)) | trans(s204, s169)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169))),
% 5.99/4.83 inference(rewrite,[status(thm)],[])).
% 5.99/4.83 tff(24746,plain,
% 5.99/4.83 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167)) | trans(s204, s168)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168))),
% 5.99/4.84 inference(rewrite,[status(thm)],[])).
% 5.99/4.84 tff(24747,plain,
% 5.99/4.84 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166)) | trans(s204, s167)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167))),
% 5.99/4.84 inference(rewrite,[status(thm)],[])).
% 5.99/4.84 tff(24748,plain,
% 5.99/4.84 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165)) | trans(s204, s166)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166))),
% 5.99/4.85 inference(rewrite,[status(thm)],[])).
% 5.99/4.85 tff(24749,plain,
% 5.99/4.85 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164)) | trans(s204, s165)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165))),
% 5.99/4.85 inference(rewrite,[status(thm)],[])).
% 5.99/4.85 tff(24750,plain,
% 5.99/4.86 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163)) | trans(s204, s164)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164))),
% 6.02/4.86 inference(rewrite,[status(thm)],[])).
% 6.02/4.86 tff(24751,plain,
% 6.02/4.86 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162)) | trans(s204, s163)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163))),
% 6.02/4.87 inference(rewrite,[status(thm)],[])).
% 6.02/4.87 tff(24752,plain,
% 6.02/4.87 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161)) | trans(s204, s162)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162))),
% 6.02/4.87 inference(rewrite,[status(thm)],[])).
% 6.02/4.87 tff(24753,plain,
% 6.02/4.87 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160)) | trans(s204, s161)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161))),
% 6.02/4.88 inference(rewrite,[status(thm)],[])).
% 6.02/4.88 tff(24754,plain,
% 6.02/4.88 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159)) | trans(s204, s160)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160))),
% 6.02/4.88 inference(rewrite,[status(thm)],[])).
% 6.02/4.88 tff(24755,plain,
% 6.02/4.88 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158)) | trans(s204, s159)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159))),
% 6.02/4.88 inference(rewrite,[status(thm)],[])).
% 6.02/4.88 tff(24756,plain,
% 6.02/4.88 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157)) | trans(s204, s158)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158))),
% 6.02/4.89 inference(rewrite,[status(thm)],[])).
% 6.02/4.89 tff(24757,plain,
% 6.02/4.89 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156)) | trans(s204, s157)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157))),
% 6.02/4.89 inference(rewrite,[status(thm)],[])).
% 6.02/4.89 tff(24758,plain,
% 6.02/4.89 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155)) | trans(s204, s156)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156))),
% 6.02/4.90 inference(rewrite,[status(thm)],[])).
% 6.02/4.90 tff(24759,plain,
% 6.02/4.90 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154)) | trans(s204, s155)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155))),
% 6.02/4.90 inference(rewrite,[status(thm)],[])).
% 6.02/4.90 tff(24760,plain,
% 6.02/4.90 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153)) | trans(s204, s154)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154))),
% 6.02/4.91 inference(rewrite,[status(thm)],[])).
% 6.02/4.91 tff(24761,plain,
% 6.02/4.91 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152)) | trans(s204, s153)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153))),
% 6.02/4.91 inference(rewrite,[status(thm)],[])).
% 6.02/4.91 tff(24762,plain,
% 6.02/4.91 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151)) | trans(s204, s152)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152))),
% 6.02/4.92 inference(rewrite,[status(thm)],[])).
% 6.02/4.92 tff(24763,plain,
% 6.02/4.92 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150)) | trans(s204, s151)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151))),
% 6.02/4.92 inference(rewrite,[status(thm)],[])).
% 6.02/4.92 tff(24764,plain,
% 6.02/4.92 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149)) | trans(s204, s150)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150))),
% 6.02/4.93 inference(rewrite,[status(thm)],[])).
% 6.02/4.93 tff(24765,plain,
% 6.02/4.93 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148)) | trans(s204, s149)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149))),
% 6.02/4.93 inference(rewrite,[status(thm)],[])).
% 6.02/4.93 tff(24766,plain,
% 6.02/4.93 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147)) | trans(s204, s148)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148))),
% 6.02/4.94 inference(rewrite,[status(thm)],[])).
% 6.02/4.94 tff(24767,plain,
% 6.02/4.94 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146)) | trans(s204, s147)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147))),
% 6.10/4.94 inference(rewrite,[status(thm)],[])).
% 6.10/4.94 tff(24768,plain,
% 6.10/4.94 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145)) | trans(s204, s146)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146))),
% 6.10/4.95 inference(rewrite,[status(thm)],[])).
% 6.10/4.95 tff(24769,plain,
% 6.10/4.95 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144)) | trans(s204, s145)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145))),
% 6.10/4.95 inference(rewrite,[status(thm)],[])).
% 6.10/4.95 tff(24770,plain,
% 6.10/4.95 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143)) | trans(s204, s144)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144))),
% 6.10/4.96 inference(rewrite,[status(thm)],[])).
% 6.10/4.96 tff(24771,plain,
% 6.10/4.96 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142)) | trans(s204, s143)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143))),
% 6.10/4.96 inference(rewrite,[status(thm)],[])).
% 6.10/4.96 tff(24772,plain,
% 6.10/4.96 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141)) | trans(s204, s142)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142))),
% 6.10/4.96 inference(rewrite,[status(thm)],[])).
% 6.10/4.96 tff(24773,plain,
% 6.10/4.96 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140)) | trans(s204, s141)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141))),
% 6.10/4.97 inference(rewrite,[status(thm)],[])).
% 6.10/4.97 tff(24774,plain,
% 6.10/4.97 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139)) | trans(s204, s140)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140))),
% 6.10/4.97 inference(rewrite,[status(thm)],[])).
% 6.10/4.97 tff(24775,plain,
% 6.10/4.97 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138)) | trans(s204, s139)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139))),
% 6.14/4.98 inference(rewrite,[status(thm)],[])).
% 6.14/4.98 tff(24776,plain,
% 6.14/4.98 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137)) | trans(s204, s138)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138))),
% 6.14/4.98 inference(rewrite,[status(thm)],[])).
% 6.14/4.98 tff(24777,plain,
% 6.14/4.98 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136)) | trans(s204, s137)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137))),
% 6.14/4.99 inference(rewrite,[status(thm)],[])).
% 6.14/4.99 tff(24778,plain,
% 6.14/4.99 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135)) | trans(s204, s136)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136))),
% 6.14/4.99 inference(rewrite,[status(thm)],[])).
% 6.14/4.99 tff(24779,plain,
% 6.14/4.99 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134)) | trans(s204, s135)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135))),
% 6.14/5.00 inference(rewrite,[status(thm)],[])).
% 6.14/5.00 tff(24780,plain,
% 6.14/5.00 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133)) | trans(s204, s134)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134))),
% 6.14/5.00 inference(rewrite,[status(thm)],[])).
% 6.14/5.00 tff(24781,plain,
% 6.14/5.00 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132)) | trans(s204, s133)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133))),
% 6.14/5.00 inference(rewrite,[status(thm)],[])).
% 6.14/5.00 tff(24782,plain,
% 6.14/5.00 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131)) | trans(s204, s132)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132))),
% 6.14/5.01 inference(rewrite,[status(thm)],[])).
% 6.14/5.01 tff(24783,plain,
% 6.14/5.01 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130)) | trans(s204, s131)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131))),
% 6.14/5.01 inference(rewrite,[status(thm)],[])).
% 6.14/5.01 tff(24784,plain,
% 6.14/5.01 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129)) | trans(s204, s130)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130))),
% 6.14/5.02 inference(rewrite,[status(thm)],[])).
% 6.14/5.02 tff(24785,plain,
% 6.14/5.02 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128)) | trans(s204, s129)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129))),
% 6.14/5.02 inference(rewrite,[status(thm)],[])).
% 6.14/5.02 tff(24786,plain,
% 6.14/5.02 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127)) | trans(s204, s128)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128))),
% 6.14/5.02 inference(rewrite,[status(thm)],[])).
% 6.14/5.02 tff(24787,plain,
% 6.14/5.02 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126)) | trans(s204, s127)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127))),
% 6.14/5.03 inference(rewrite,[status(thm)],[])).
% 6.14/5.03 tff(24788,plain,
% 6.14/5.03 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125)) | trans(s204, s126)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126))),
% 6.14/5.03 inference(rewrite,[status(thm)],[])).
% 6.14/5.03 tff(24789,plain,
% 6.14/5.03 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124)) | trans(s204, s125)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125))),
% 6.14/5.04 inference(rewrite,[status(thm)],[])).
% 6.14/5.04 tff(24790,plain,
% 6.14/5.04 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123)) | trans(s204, s124)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124))),
% 6.14/5.04 inference(rewrite,[status(thm)],[])).
% 6.14/5.04 tff(24791,plain,
% 6.14/5.04 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122)) | trans(s204, s123)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123))),
% 6.14/5.04 inference(rewrite,[status(thm)],[])).
% 6.14/5.04 tff(24792,plain,
% 6.14/5.04 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121)) | trans(s204, s122)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122))),
% 6.14/5.05 inference(rewrite,[status(thm)],[])).
% 6.14/5.05 tff(24793,plain,
% 6.14/5.05 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120)) | trans(s204, s121)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121))),
% 6.21/5.05 inference(rewrite,[status(thm)],[])).
% 6.21/5.05 tff(24794,plain,
% 6.21/5.05 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119)) | trans(s204, s120)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120))),
% 6.21/5.06 inference(rewrite,[status(thm)],[])).
% 6.21/5.06 tff(24795,plain,
% 6.21/5.06 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118)) | trans(s204, s119)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119))),
% 6.21/5.06 inference(rewrite,[status(thm)],[])).
% 6.21/5.06 tff(24796,plain,
% 6.21/5.06 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117)) | trans(s204, s118)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118))),
% 6.21/5.06 inference(rewrite,[status(thm)],[])).
% 6.21/5.06 tff(24797,plain,
% 6.21/5.06 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116)) | trans(s204, s117)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117))),
% 6.21/5.07 inference(rewrite,[status(thm)],[])).
% 6.21/5.07 tff(24798,plain,
% 6.21/5.07 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115)) | trans(s204, s116)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116))),
% 6.21/5.07 inference(rewrite,[status(thm)],[])).
% 6.21/5.07 tff(24799,plain,
% 6.21/5.07 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114)) | trans(s204, s115)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115))),
% 6.23/5.08 inference(rewrite,[status(thm)],[])).
% 6.23/5.08 tff(24800,plain,
% 6.23/5.08 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113)) | trans(s204, s114)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114))),
% 6.23/5.08 inference(rewrite,[status(thm)],[])).
% 6.23/5.08 tff(24801,plain,
% 6.23/5.08 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112)) | trans(s204, s113)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113))),
% 6.23/5.08 inference(rewrite,[status(thm)],[])).
% 6.23/5.08 tff(24802,plain,
% 6.23/5.08 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111)) | trans(s204, s112)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112))),
% 6.23/5.09 inference(rewrite,[status(thm)],[])).
% 6.23/5.09 tff(24803,plain,
% 6.23/5.09 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110)) | trans(s204, s111)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111))),
% 6.23/5.09 inference(rewrite,[status(thm)],[])).
% 6.23/5.09 tff(24804,plain,
% 6.23/5.09 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109)) | trans(s204, s110)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110))),
% 6.23/5.09 inference(rewrite,[status(thm)],[])).
% 6.23/5.09 tff(24805,plain,
% 6.23/5.09 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108)) | trans(s204, s109)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109))),
% 6.23/5.10 inference(rewrite,[status(thm)],[])).
% 6.23/5.10 tff(24806,plain,
% 6.23/5.10 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107)) | trans(s204, s108)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108))),
% 6.23/5.10 inference(rewrite,[status(thm)],[])).
% 6.23/5.10 tff(24807,plain,
% 6.23/5.10 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106)) | trans(s204, s107)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107))),
% 6.23/5.10 inference(rewrite,[status(thm)],[])).
% 6.23/5.10 tff(24808,plain,
% 6.23/5.10 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105)) | trans(s204, s106)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106))),
% 6.23/5.11 inference(rewrite,[status(thm)],[])).
% 6.23/5.11 tff(24809,plain,
% 6.23/5.11 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104)) | trans(s204, s105)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105))),
% 6.23/5.11 inference(rewrite,[status(thm)],[])).
% 6.23/5.11 tff(24810,plain,
% 6.23/5.11 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103)) | trans(s204, s104)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104))),
% 6.23/5.11 inference(rewrite,[status(thm)],[])).
% 6.23/5.11 tff(24811,plain,
% 6.23/5.11 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102)) | trans(s204, s103)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103))),
% 6.28/5.12 inference(rewrite,[status(thm)],[])).
% 6.28/5.12 tff(24812,plain,
% 6.28/5.12 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101)) | trans(s204, s102)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102))),
% 6.28/5.12 inference(rewrite,[status(thm)],[])).
% 6.28/5.12 tff(24813,plain,
% 6.28/5.12 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100)) | trans(s204, s101)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101))),
% 6.28/5.12 inference(rewrite,[status(thm)],[])).
% 6.28/5.12 tff(24814,plain,
% 6.28/5.12 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99)) | trans(s204, s100)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100))),
% 6.28/5.13 inference(rewrite,[status(thm)],[])).
% 6.28/5.13 tff(24815,plain,
% 6.28/5.13 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98)) | trans(s204, s99)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99))),
% 6.28/5.13 inference(rewrite,[status(thm)],[])).
% 6.28/5.13 tff(24816,plain,
% 6.28/5.13 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97)) | trans(s204, s98)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98))),
% 6.28/5.13 inference(rewrite,[status(thm)],[])).
% 6.28/5.13 tff(24817,plain,
% 6.28/5.13 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96)) | trans(s204, s97)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97))),
% 6.28/5.14 inference(rewrite,[status(thm)],[])).
% 6.28/5.14 tff(24818,plain,
% 6.28/5.14 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95)) | trans(s204, s96)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96))),
% 6.28/5.14 inference(rewrite,[status(thm)],[])).
% 6.28/5.14 tff(24819,plain,
% 6.28/5.14 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94)) | trans(s204, s95)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95))),
% 6.30/5.14 inference(rewrite,[status(thm)],[])).
% 6.30/5.14 tff(24820,plain,
% 6.30/5.14 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93)) | trans(s204, s94)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94))),
% 6.30/5.14 inference(rewrite,[status(thm)],[])).
% 6.30/5.14 tff(24821,plain,
% 6.30/5.14 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92)) | trans(s204, s93)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93))),
% 6.30/5.15 inference(rewrite,[status(thm)],[])).
% 6.30/5.15 tff(24822,plain,
% 6.30/5.15 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91)) | trans(s204, s92)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92))),
% 6.30/5.15 inference(rewrite,[status(thm)],[])).
% 6.30/5.15 tff(24823,plain,
% 6.30/5.15 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90)) | trans(s204, s91)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91))),
% 6.30/5.15 inference(rewrite,[status(thm)],[])).
% 6.30/5.15 tff(24824,plain,
% 6.30/5.15 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89)) | trans(s204, s90)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90))),
% 6.30/5.16 inference(rewrite,[status(thm)],[])).
% 6.30/5.16 tff(24825,plain,
% 6.30/5.16 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88)) | trans(s204, s89)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89))),
% 6.30/5.16 inference(rewrite,[status(thm)],[])).
% 6.30/5.16 tff(24826,plain,
% 6.30/5.16 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87)) | trans(s204, s88)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88))),
% 6.30/5.16 inference(rewrite,[status(thm)],[])).
% 6.30/5.16 tff(24827,plain,
% 6.30/5.16 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86)) | trans(s204, s87)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87))),
% 6.30/5.16 inference(rewrite,[status(thm)],[])).
% 6.30/5.16 tff(24828,plain,
% 6.30/5.16 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85)) | trans(s204, s86)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86))),
% 6.30/5.17 inference(rewrite,[status(thm)],[])).
% 6.30/5.17 tff(24829,plain,
% 6.30/5.17 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84)) | trans(s204, s85)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85))),
% 6.30/5.17 inference(rewrite,[status(thm)],[])).
% 6.30/5.17 tff(24830,plain,
% 6.30/5.17 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83)) | trans(s204, s84)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84))),
% 6.30/5.17 inference(rewrite,[status(thm)],[])).
% 6.30/5.17 tff(24831,plain,
% 6.30/5.17 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82)) | trans(s204, s83)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83))),
% 6.30/5.18 inference(rewrite,[status(thm)],[])).
% 6.30/5.18 tff(24832,plain,
% 6.30/5.18 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81)) | trans(s204, s82)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82))),
% 6.30/5.18 inference(rewrite,[status(thm)],[])).
% 6.30/5.18 tff(24833,plain,
% 6.30/5.18 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80)) | trans(s204, s81)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81))),
% 6.30/5.18 inference(rewrite,[status(thm)],[])).
% 6.30/5.18 tff(24834,plain,
% 6.30/5.18 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79)) | trans(s204, s80)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80))),
% 6.30/5.18 inference(rewrite,[status(thm)],[])).
% 6.30/5.18 tff(24835,plain,
% 6.30/5.18 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78)) | trans(s204, s79)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79))),
% 6.30/5.19 inference(rewrite,[status(thm)],[])).
% 6.30/5.19 tff(24836,plain,
% 6.30/5.19 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77)) | trans(s204, s78)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78))),
% 6.30/5.19 inference(rewrite,[status(thm)],[])).
% 6.30/5.19 tff(24837,plain,
% 6.30/5.19 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76)) | trans(s204, s77)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77))),
% 6.30/5.19 inference(rewrite,[status(thm)],[])).
% 6.30/5.19 tff(24838,plain,
% 6.30/5.19 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75)) | trans(s204, s76)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76))),
% 6.30/5.19 inference(rewrite,[status(thm)],[])).
% 6.30/5.19 tff(24839,plain,
% 6.30/5.19 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74)) | trans(s204, s75)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75))),
% 6.30/5.20 inference(rewrite,[status(thm)],[])).
% 6.30/5.20 tff(24840,plain,
% 6.30/5.20 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73)) | trans(s204, s74)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74))),
% 6.30/5.20 inference(rewrite,[status(thm)],[])).
% 6.30/5.20 tff(24841,plain,
% 6.30/5.20 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72)) | trans(s204, s73)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73))),
% 6.30/5.20 inference(rewrite,[status(thm)],[])).
% 6.30/5.20 tff(24842,plain,
% 6.30/5.20 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71)) | trans(s204, s72)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72))),
% 6.30/5.20 inference(rewrite,[status(thm)],[])).
% 6.30/5.20 tff(24843,plain,
% 6.30/5.20 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70)) | trans(s204, s71)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71))),
% 6.30/5.21 inference(rewrite,[status(thm)],[])).
% 6.30/5.21 tff(24844,plain,
% 6.30/5.21 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69)) | trans(s204, s70)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70))),
% 6.30/5.21 inference(rewrite,[status(thm)],[])).
% 6.30/5.21 tff(24845,plain,
% 6.30/5.21 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68)) | trans(s204, s69)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69))),
% 6.30/5.21 inference(rewrite,[status(thm)],[])).
% 6.30/5.21 tff(24846,plain,
% 6.30/5.21 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67)) | trans(s204, s68)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68))),
% 6.30/5.21 inference(rewrite,[status(thm)],[])).
% 6.30/5.21 tff(24847,plain,
% 6.30/5.21 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66)) | trans(s204, s67)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67))),
% 6.30/5.21 inference(rewrite,[status(thm)],[])).
% 6.30/5.21 tff(24848,plain,
% 6.30/5.21 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65)) | trans(s204, s66)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66))),
% 6.30/5.22 inference(rewrite,[status(thm)],[])).
% 6.30/5.22 tff(24849,plain,
% 6.30/5.22 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64)) | trans(s204, s65)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65))),
% 6.30/5.22 inference(rewrite,[status(thm)],[])).
% 6.30/5.22 tff(24850,plain,
% 6.30/5.22 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63)) | trans(s204, s64)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64))),
% 6.30/5.22 inference(rewrite,[status(thm)],[])).
% 6.30/5.22 tff(24851,plain,
% 6.30/5.22 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62)) | trans(s204, s63)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63))),
% 6.38/5.22 inference(rewrite,[status(thm)],[])).
% 6.38/5.22 tff(24852,plain,
% 6.38/5.22 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61)) | trans(s204, s62)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62))),
% 6.38/5.22 inference(rewrite,[status(thm)],[])).
% 6.38/5.22 tff(24853,plain,
% 6.38/5.22 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60)) | trans(s204, s61)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61))),
% 6.38/5.23 inference(rewrite,[status(thm)],[])).
% 6.38/5.23 tff(24854,plain,
% 6.38/5.23 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59)) | trans(s204, s60)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60))),
% 6.38/5.23 inference(rewrite,[status(thm)],[])).
% 6.38/5.23 tff(24855,plain,
% 6.38/5.23 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58)) | trans(s204, s59)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59))),
% 6.38/5.23 inference(rewrite,[status(thm)],[])).
% 6.38/5.23 tff(24856,plain,
% 6.38/5.23 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57)) | trans(s204, s58)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58))),
% 6.38/5.23 inference(rewrite,[status(thm)],[])).
% 6.38/5.23 tff(24857,plain,
% 6.38/5.23 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56)) | trans(s204, s57)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57))),
% 6.38/5.23 inference(rewrite,[status(thm)],[])).
% 6.38/5.23 tff(24858,plain,
% 6.38/5.23 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55)) | trans(s204, s56)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56))),
% 6.38/5.24 inference(rewrite,[status(thm)],[])).
% 6.38/5.24 tff(24859,plain,
% 6.38/5.24 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54)) | trans(s204, s55)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55))),
% 6.38/5.24 inference(rewrite,[status(thm)],[])).
% 6.38/5.24 tff(24860,plain,
% 6.38/5.24 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53)) | trans(s204, s54)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54))),
% 6.38/5.24 inference(rewrite,[status(thm)],[])).
% 6.38/5.24 tff(24861,plain,
% 6.38/5.24 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52)) | trans(s204, s53)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53))),
% 6.38/5.24 inference(rewrite,[status(thm)],[])).
% 6.38/5.24 tff(24862,plain,
% 6.38/5.24 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51)) | trans(s204, s52)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52))),
% 6.38/5.24 inference(rewrite,[status(thm)],[])).
% 6.38/5.24 tff(24863,plain,
% 6.38/5.24 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50)) | trans(s204, s51)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51))),
% 6.38/5.24 inference(rewrite,[status(thm)],[])).
% 6.38/5.24 tff(24864,plain,
% 6.38/5.24 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49)) | trans(s204, s50)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50))),
% 6.38/5.24 inference(rewrite,[status(thm)],[])).
% 6.38/5.24 tff(24865,plain,
% 6.38/5.24 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48)) | trans(s204, s49)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49))),
% 6.38/5.24 inference(rewrite,[status(thm)],[])).
% 6.38/5.24 tff(24866,plain,
% 6.38/5.24 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47)) | trans(s204, s48)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48))),
% 6.38/5.25 inference(rewrite,[status(thm)],[])).
% 6.38/5.25 tff(24867,plain,
% 6.38/5.25 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46)) | trans(s204, s47)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47))),
% 6.38/5.25 inference(rewrite,[status(thm)],[])).
% 6.38/5.25 tff(24868,plain,
% 6.38/5.25 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45)) | trans(s204, s46)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46))),
% 6.38/5.25 inference(rewrite,[status(thm)],[])).
% 6.38/5.25 tff(24869,plain,
% 6.38/5.25 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44)) | trans(s204, s45)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45))),
% 6.38/5.25 inference(rewrite,[status(thm)],[])).
% 6.38/5.25 tff(24870,plain,
% 6.38/5.25 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43)) | trans(s204, s44)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44))),
% 6.38/5.25 inference(rewrite,[status(thm)],[])).
% 6.38/5.25 tff(24871,plain,
% 6.38/5.25 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42)) | trans(s204, s43)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43))),
% 6.38/5.25 inference(rewrite,[status(thm)],[])).
% 6.38/5.25 tff(24872,plain,
% 6.38/5.25 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41)) | trans(s204, s42)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42))),
% 6.38/5.25 inference(rewrite,[status(thm)],[])).
% 6.38/5.25 tff(24873,plain,
% 6.38/5.25 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40)) | trans(s204, s41)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41))),
% 6.38/5.26 inference(rewrite,[status(thm)],[])).
% 6.38/5.26 tff(24874,plain,
% 6.38/5.26 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39)) | trans(s204, s40)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40))),
% 6.38/5.26 inference(rewrite,[status(thm)],[])).
% 6.38/5.26 tff(24875,plain,
% 6.38/5.26 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38)) | trans(s204, s39)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39))),
% 6.38/5.26 inference(rewrite,[status(thm)],[])).
% 6.38/5.26 tff(24876,plain,
% 6.38/5.26 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37)) | trans(s204, s38)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38))),
% 6.38/5.26 inference(rewrite,[status(thm)],[])).
% 6.38/5.26 tff(24877,plain,
% 6.38/5.26 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36)) | trans(s204, s37)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37))),
% 6.38/5.26 inference(rewrite,[status(thm)],[])).
% 6.38/5.26 tff(24878,plain,
% 6.38/5.26 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35)) | trans(s204, s36)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36))),
% 6.38/5.26 inference(rewrite,[status(thm)],[])).
% 6.38/5.26 tff(24879,plain,
% 6.38/5.26 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34)) | trans(s204, s35)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35))),
% 6.38/5.26 inference(rewrite,[status(thm)],[])).
% 6.38/5.26 tff(24880,plain,
% 6.38/5.26 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33)) | trans(s204, s34)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34))),
% 6.38/5.26 inference(rewrite,[status(thm)],[])).
% 6.38/5.26 tff(24881,plain,
% 6.38/5.26 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32)) | trans(s204, s33)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33))),
% 6.38/5.27 inference(rewrite,[status(thm)],[])).
% 6.38/5.27 tff(24882,plain,
% 6.38/5.27 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31)) | trans(s204, s32)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32))),
% 6.38/5.27 inference(rewrite,[status(thm)],[])).
% 6.38/5.27 tff(24883,plain,
% 6.38/5.27 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30)) | trans(s204, s31)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31))),
% 6.38/5.27 inference(rewrite,[status(thm)],[])).
% 6.38/5.27 tff(24884,plain,
% 6.38/5.27 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29)) | trans(s204, s30)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30))),
% 6.38/5.27 inference(rewrite,[status(thm)],[])).
% 6.38/5.27 tff(24885,plain,
% 6.38/5.27 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28)) | trans(s204, s29)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29))),
% 6.38/5.27 inference(rewrite,[status(thm)],[])).
% 6.38/5.27 tff(24886,plain,
% 6.38/5.27 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27)) | trans(s204, s28)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28))),
% 6.38/5.27 inference(rewrite,[status(thm)],[])).
% 6.38/5.27 tff(24887,plain,
% 6.38/5.27 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26)) | trans(s204, s27)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27))),
% 6.38/5.27 inference(rewrite,[status(thm)],[])).
% 6.38/5.27 tff(24888,plain,
% 6.38/5.27 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25)) | trans(s204, s26)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26))),
% 6.38/5.27 inference(rewrite,[status(thm)],[])).
% 6.38/5.27 tff(24889,plain,
% 6.38/5.27 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24)) | trans(s204, s25)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25))),
% 6.38/5.27 inference(rewrite,[status(thm)],[])).
% 6.38/5.27 tff(24890,plain,
% 6.38/5.27 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23)) | trans(s204, s24)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24))),
% 6.38/5.27 inference(rewrite,[status(thm)],[])).
% 6.38/5.27 tff(24891,plain,
% 6.38/5.27 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22)) | trans(s204, s23)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23))),
% 6.44/5.28 inference(rewrite,[status(thm)],[])).
% 6.44/5.28 tff(24892,plain,
% 6.44/5.28 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21)) | trans(s204, s22)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22))),
% 6.44/5.28 inference(rewrite,[status(thm)],[])).
% 6.44/5.28 tff(24893,plain,
% 6.44/5.28 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20)) | trans(s204, s21)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21))),
% 6.44/5.28 inference(rewrite,[status(thm)],[])).
% 6.44/5.28 tff(24894,plain,
% 6.44/5.28 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19)) | trans(s204, s20)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20))),
% 6.44/5.28 inference(rewrite,[status(thm)],[])).
% 6.44/5.28 tff(24895,plain,
% 6.44/5.28 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18)) | trans(s204, s19)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19))),
% 6.44/5.28 inference(rewrite,[status(thm)],[])).
% 6.44/5.28 tff(24896,plain,
% 6.44/5.28 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17)) | trans(s204, s18)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18))),
% 6.44/5.28 inference(rewrite,[status(thm)],[])).
% 6.44/5.28 tff(24897,plain,
% 6.44/5.28 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16)) | trans(s204, s17)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17))),
% 6.44/5.28 inference(rewrite,[status(thm)],[])).
% 6.44/5.28 tff(24898,plain,
% 6.44/5.28 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15)) | trans(s204, s16)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16))),
% 6.44/5.28 inference(rewrite,[status(thm)],[])).
% 6.44/5.28 tff(24899,plain,
% 6.44/5.28 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14)) | trans(s204, s15)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15))),
% 6.44/5.28 inference(rewrite,[status(thm)],[])).
% 6.44/5.28 tff(24900,plain,
% 6.44/5.28 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13)) | trans(s204, s14)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14))),
% 6.44/5.28 inference(rewrite,[status(thm)],[])).
% 6.44/5.28 tff(24901,plain,
% 6.44/5.28 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12)) | trans(s204, s13)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13))),
% 6.44/5.28 inference(rewrite,[status(thm)],[])).
% 6.44/5.28 tff(24902,plain,
% 6.44/5.28 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11)) | trans(s204, s12)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12))),
% 6.44/5.28 inference(rewrite,[status(thm)],[])).
% 6.44/5.28 tff(24903,plain,
% 6.44/5.28 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10)) | trans(s204, s11)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11))),
% 6.44/5.28 inference(rewrite,[status(thm)],[])).
% 6.44/5.28 tff(24904,plain,
% 6.44/5.28 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9)) | trans(s204, s10)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10))),
% 6.44/5.28 inference(rewrite,[status(thm)],[])).
% 6.44/5.28 tff(24905,plain,
% 6.44/5.28 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8)) | trans(s204, s9)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9))),
% 6.44/5.28 inference(rewrite,[status(thm)],[])).
% 6.44/5.28 tff(24906,plain,
% 6.44/5.28 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7)) | trans(s204, s8)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8))),
% 6.44/5.28 inference(rewrite,[status(thm)],[])).
% 6.44/5.28 tff(24907,plain,
% 6.44/5.28 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6)) | trans(s204, s7)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7))),
% 6.44/5.28 inference(rewrite,[status(thm)],[])).
% 6.44/5.28 tff(24908,plain,
% 6.44/5.28 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5)) | trans(s204, s6)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6))),
% 6.44/5.28 inference(rewrite,[status(thm)],[])).
% 6.44/5.28 tff(24909,plain,
% 6.44/5.28 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4)) | trans(s204, s5)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5))),
% 6.44/5.28 inference(rewrite,[status(thm)],[])).
% 6.44/5.28 tff(24910,plain,
% 6.44/5.28 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3)) | trans(s204, s4)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4))),
% 6.44/5.28 inference(rewrite,[status(thm)],[])).
% 6.44/5.28 tff(24911,plain,
% 6.44/5.28 ((((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2)) | trans(s204, s3)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3))),
% 6.44/5.28 inference(rewrite,[status(thm)],[])).
% 6.44/5.28 tff(24912,plain,
% 6.44/5.28 ((((~loop) | trans(s204, s0) | trans(s204, s1)) | trans(s204, s2)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2))),
% 6.44/5.28 inference(rewrite,[status(thm)],[])).
% 6.44/5.28 tff(24913,plain,
% 6.44/5.28 ((((~loop) | trans(s204, s0)) | trans(s204, s1)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1))),
% 6.44/5.28 inference(rewrite,[status(thm)],[])).
% 6.44/5.28 tff(24914,plain,
% 6.44/5.28 (((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1)) | trans(s204, s2))),
% 6.44/5.29 inference(monotonicity,[status(thm)],[24913])).
% 6.44/5.29 tff(24915,plain,
% 6.44/5.29 (((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2))),
% 6.44/5.29 inference(transitivity,[status(thm)],[24914, 24912])).
% 6.44/5.29 tff(24916,plain,
% 6.44/5.29 ((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2)) | trans(s204, s3))),
% 6.44/5.29 inference(monotonicity,[status(thm)],[24915])).
% 6.44/5.29 tff(24917,plain,
% 6.44/5.29 ((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3))),
% 6.44/5.29 inference(transitivity,[status(thm)],[24916, 24911])).
% 6.44/5.29 tff(24918,plain,
% 6.44/5.29 (((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3)) | trans(s204, s4))),
% 6.44/5.29 inference(monotonicity,[status(thm)],[24917])).
% 6.44/5.29 tff(24919,plain,
% 6.44/5.29 (((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4))),
% 6.44/5.29 inference(transitivity,[status(thm)],[24918, 24910])).
% 6.44/5.29 tff(24920,plain,
% 6.44/5.29 ((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4)) | trans(s204, s5))),
% 6.44/5.29 inference(monotonicity,[status(thm)],[24919])).
% 6.44/5.29 tff(24921,plain,
% 6.44/5.29 ((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5))),
% 6.44/5.29 inference(transitivity,[status(thm)],[24920, 24909])).
% 6.44/5.29 tff(24922,plain,
% 6.44/5.29 (((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5)) | trans(s204, s6))),
% 6.44/5.29 inference(monotonicity,[status(thm)],[24921])).
% 6.44/5.29 tff(24923,plain,
% 6.44/5.29 (((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6))),
% 6.44/5.29 inference(transitivity,[status(thm)],[24922, 24908])).
% 6.44/5.29 tff(24924,plain,
% 6.44/5.29 ((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6)) | trans(s204, s7))),
% 6.44/5.29 inference(monotonicity,[status(thm)],[24923])).
% 6.44/5.29 tff(24925,plain,
% 6.44/5.29 ((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7))),
% 6.44/5.29 inference(transitivity,[status(thm)],[24924, 24907])).
% 6.44/5.29 tff(24926,plain,
% 6.44/5.29 (((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7)) | trans(s204, s8))),
% 6.44/5.29 inference(monotonicity,[status(thm)],[24925])).
% 6.44/5.29 tff(24927,plain,
% 6.44/5.29 (((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8))),
% 6.44/5.29 inference(transitivity,[status(thm)],[24926, 24906])).
% 6.44/5.29 tff(24928,plain,
% 6.44/5.29 ((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8)) | trans(s204, s9))),
% 6.44/5.29 inference(monotonicity,[status(thm)],[24927])).
% 6.44/5.29 tff(24929,plain,
% 6.44/5.29 ((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9))),
% 6.44/5.29 inference(transitivity,[status(thm)],[24928, 24905])).
% 6.44/5.29 tff(24930,plain,
% 6.44/5.29 (((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9)) | trans(s204, s10))),
% 6.44/5.29 inference(monotonicity,[status(thm)],[24929])).
% 6.44/5.29 tff(24931,plain,
% 6.44/5.29 (((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10))),
% 6.44/5.29 inference(transitivity,[status(thm)],[24930, 24904])).
% 6.44/5.29 tff(24932,plain,
% 6.44/5.29 ((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10)) | trans(s204, s11))),
% 6.44/5.29 inference(monotonicity,[status(thm)],[24931])).
% 6.44/5.29 tff(24933,plain,
% 6.44/5.29 ((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11))),
% 6.44/5.29 inference(transitivity,[status(thm)],[24932, 24903])).
% 6.44/5.29 tff(24934,plain,
% 6.44/5.29 (((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11)) | trans(s204, s12))),
% 6.44/5.29 inference(monotonicity,[status(thm)],[24933])).
% 6.44/5.29 tff(24935,plain,
% 6.44/5.29 (((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12))),
% 6.44/5.29 inference(transitivity,[status(thm)],[24934, 24902])).
% 6.44/5.29 tff(24936,plain,
% 6.44/5.29 ((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12)) | trans(s204, s13))),
% 6.44/5.29 inference(monotonicity,[status(thm)],[24935])).
% 6.44/5.29 tff(24937,plain,
% 6.44/5.29 ((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13))),
% 6.44/5.29 inference(transitivity,[status(thm)],[24936, 24901])).
% 6.44/5.29 tff(24938,plain,
% 6.44/5.29 (((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13)) | trans(s204, s14))),
% 6.44/5.29 inference(monotonicity,[status(thm)],[24937])).
% 6.44/5.29 tff(24939,plain,
% 6.44/5.29 (((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14))),
% 6.44/5.29 inference(transitivity,[status(thm)],[24938, 24900])).
% 6.44/5.29 tff(24940,plain,
% 6.44/5.29 ((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14)) | trans(s204, s15))),
% 6.44/5.29 inference(monotonicity,[status(thm)],[24939])).
% 6.44/5.29 tff(24941,plain,
% 6.44/5.29 ((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15))),
% 6.44/5.29 inference(transitivity,[status(thm)],[24940, 24899])).
% 6.44/5.29 tff(24942,plain,
% 6.44/5.29 (((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15)) | trans(s204, s16))),
% 6.44/5.29 inference(monotonicity,[status(thm)],[24941])).
% 6.44/5.29 tff(24943,plain,
% 6.44/5.29 (((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16))),
% 6.44/5.29 inference(transitivity,[status(thm)],[24942, 24898])).
% 6.44/5.29 tff(24944,plain,
% 6.44/5.29 ((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16)) | trans(s204, s17))),
% 6.44/5.29 inference(monotonicity,[status(thm)],[24943])).
% 6.44/5.29 tff(24945,plain,
% 6.44/5.29 ((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17))),
% 6.44/5.29 inference(transitivity,[status(thm)],[24944, 24897])).
% 6.44/5.29 tff(24946,plain,
% 6.44/5.29 (((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17)) | trans(s204, s18))),
% 6.44/5.30 inference(monotonicity,[status(thm)],[24945])).
% 6.44/5.30 tff(24947,plain,
% 6.44/5.30 (((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18))),
% 6.44/5.30 inference(transitivity,[status(thm)],[24946, 24896])).
% 6.44/5.30 tff(24948,plain,
% 6.44/5.30 ((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18)) | trans(s204, s19))),
% 6.44/5.30 inference(monotonicity,[status(thm)],[24947])).
% 6.44/5.30 tff(24949,plain,
% 6.44/5.30 ((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19))),
% 6.44/5.30 inference(transitivity,[status(thm)],[24948, 24895])).
% 6.44/5.30 tff(24950,plain,
% 6.44/5.30 (((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19)) | trans(s204, s20))),
% 6.44/5.30 inference(monotonicity,[status(thm)],[24949])).
% 6.44/5.30 tff(24951,plain,
% 6.44/5.30 (((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20))),
% 6.44/5.30 inference(transitivity,[status(thm)],[24950, 24894])).
% 6.44/5.30 tff(24952,plain,
% 6.44/5.30 ((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20)) | trans(s204, s21))),
% 6.44/5.30 inference(monotonicity,[status(thm)],[24951])).
% 6.44/5.30 tff(24953,plain,
% 6.44/5.30 ((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21))),
% 6.44/5.30 inference(transitivity,[status(thm)],[24952, 24893])).
% 6.44/5.30 tff(24954,plain,
% 6.44/5.30 (((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21)) | trans(s204, s22))),
% 6.44/5.30 inference(monotonicity,[status(thm)],[24953])).
% 6.44/5.30 tff(24955,plain,
% 6.44/5.30 (((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22))),
% 6.44/5.30 inference(transitivity,[status(thm)],[24954, 24892])).
% 6.44/5.30 tff(24956,plain,
% 6.44/5.30 ((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22)) | trans(s204, s23))),
% 6.44/5.30 inference(monotonicity,[status(thm)],[24955])).
% 6.44/5.30 tff(24957,plain,
% 6.44/5.30 ((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23))),
% 6.44/5.30 inference(transitivity,[status(thm)],[24956, 24891])).
% 6.44/5.30 tff(24958,plain,
% 6.44/5.30 (((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23)) | trans(s204, s24))),
% 6.44/5.30 inference(monotonicity,[status(thm)],[24957])).
% 6.44/5.30 tff(24959,plain,
% 6.44/5.30 (((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24))),
% 6.44/5.31 inference(transitivity,[status(thm)],[24958, 24890])).
% 6.44/5.31 tff(24960,plain,
% 6.44/5.31 ((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24)) | trans(s204, s25))),
% 6.44/5.31 inference(monotonicity,[status(thm)],[24959])).
% 6.44/5.31 tff(24961,plain,
% 6.44/5.31 ((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25))),
% 6.44/5.31 inference(transitivity,[status(thm)],[24960, 24889])).
% 6.44/5.31 tff(24962,plain,
% 6.44/5.31 (((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25)) | trans(s204, s26))),
% 6.44/5.31 inference(monotonicity,[status(thm)],[24961])).
% 6.44/5.31 tff(24963,plain,
% 6.44/5.31 (((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26))),
% 6.44/5.31 inference(transitivity,[status(thm)],[24962, 24888])).
% 6.44/5.31 tff(24964,plain,
% 6.44/5.31 ((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26)) | trans(s204, s27))),
% 6.44/5.31 inference(monotonicity,[status(thm)],[24963])).
% 6.44/5.31 tff(24965,plain,
% 6.44/5.31 ((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27))),
% 6.44/5.31 inference(transitivity,[status(thm)],[24964, 24887])).
% 6.44/5.31 tff(24966,plain,
% 6.44/5.31 (((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27)) | trans(s204, s28))),
% 6.44/5.31 inference(monotonicity,[status(thm)],[24965])).
% 6.44/5.31 tff(24967,plain,
% 6.44/5.31 (((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28))),
% 6.44/5.31 inference(transitivity,[status(thm)],[24966, 24886])).
% 6.44/5.31 tff(24968,plain,
% 6.44/5.31 ((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28)) | trans(s204, s29))),
% 6.44/5.31 inference(monotonicity,[status(thm)],[24967])).
% 6.44/5.31 tff(24969,plain,
% 6.44/5.31 ((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29))),
% 6.44/5.32 inference(transitivity,[status(thm)],[24968, 24885])).
% 6.44/5.32 tff(24970,plain,
% 6.44/5.32 (((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29)) | trans(s204, s30))),
% 6.44/5.32 inference(monotonicity,[status(thm)],[24969])).
% 6.44/5.32 tff(24971,plain,
% 6.44/5.32 (((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30))),
% 6.44/5.32 inference(transitivity,[status(thm)],[24970, 24884])).
% 6.44/5.32 tff(24972,plain,
% 6.44/5.32 ((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30)) | trans(s204, s31))),
% 6.44/5.32 inference(monotonicity,[status(thm)],[24971])).
% 6.44/5.32 tff(24973,plain,
% 6.44/5.32 ((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31))),
% 6.44/5.32 inference(transitivity,[status(thm)],[24972, 24883])).
% 6.44/5.32 tff(24974,plain,
% 6.44/5.32 (((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31)) | trans(s204, s32))),
% 6.44/5.32 inference(monotonicity,[status(thm)],[24973])).
% 6.44/5.32 tff(24975,plain,
% 6.44/5.32 (((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32))),
% 6.44/5.32 inference(transitivity,[status(thm)],[24974, 24882])).
% 6.44/5.32 tff(24976,plain,
% 6.44/5.32 ((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32)) | trans(s204, s33))),
% 6.44/5.32 inference(monotonicity,[status(thm)],[24975])).
% 6.44/5.32 tff(24977,plain,
% 6.44/5.32 ((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33))),
% 6.44/5.32 inference(transitivity,[status(thm)],[24976, 24881])).
% 6.44/5.32 tff(24978,plain,
% 6.44/5.32 (((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33)) | trans(s204, s34))),
% 6.44/5.32 inference(monotonicity,[status(thm)],[24977])).
% 6.44/5.32 tff(24979,plain,
% 6.44/5.32 (((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34))),
% 6.44/5.32 inference(transitivity,[status(thm)],[24978, 24880])).
% 6.44/5.32 tff(24980,plain,
% 6.44/5.32 ((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34)) | trans(s204, s35))),
% 6.44/5.32 inference(monotonicity,[status(thm)],[24979])).
% 6.44/5.32 tff(24981,plain,
% 6.44/5.32 ((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35))),
% 6.44/5.33 inference(transitivity,[status(thm)],[24980, 24879])).
% 6.44/5.33 tff(24982,plain,
% 6.44/5.33 (((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35)) | trans(s204, s36))),
% 6.44/5.33 inference(monotonicity,[status(thm)],[24981])).
% 6.44/5.33 tff(24983,plain,
% 6.44/5.33 (((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36))),
% 6.44/5.33 inference(transitivity,[status(thm)],[24982, 24878])).
% 6.44/5.33 tff(24984,plain,
% 6.44/5.33 ((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36)) | trans(s204, s37))),
% 6.44/5.33 inference(monotonicity,[status(thm)],[24983])).
% 6.44/5.33 tff(24985,plain,
% 6.44/5.33 ((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37))),
% 6.44/5.33 inference(transitivity,[status(thm)],[24984, 24877])).
% 6.44/5.33 tff(24986,plain,
% 6.44/5.33 (((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37)) | trans(s204, s38))),
% 6.44/5.33 inference(monotonicity,[status(thm)],[24985])).
% 6.44/5.33 tff(24987,plain,
% 6.44/5.33 (((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38))),
% 6.44/5.33 inference(transitivity,[status(thm)],[24986, 24876])).
% 6.44/5.33 tff(24988,plain,
% 6.44/5.33 ((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38)) | trans(s204, s39))),
% 6.44/5.34 inference(monotonicity,[status(thm)],[24987])).
% 6.44/5.34 tff(24989,plain,
% 6.44/5.34 ((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39))),
% 6.44/5.34 inference(transitivity,[status(thm)],[24988, 24875])).
% 6.44/5.34 tff(24990,plain,
% 6.44/5.34 (((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39)) | trans(s204, s40))),
% 6.44/5.34 inference(monotonicity,[status(thm)],[24989])).
% 6.44/5.34 tff(24991,plain,
% 6.44/5.34 (((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40))),
% 6.44/5.34 inference(transitivity,[status(thm)],[24990, 24874])).
% 6.44/5.34 tff(24992,plain,
% 6.44/5.34 ((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40)) | trans(s204, s41))),
% 6.44/5.34 inference(monotonicity,[status(thm)],[24991])).
% 6.44/5.34 tff(24993,plain,
% 6.44/5.34 ((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41))),
% 6.44/5.34 inference(transitivity,[status(thm)],[24992, 24873])).
% 6.44/5.34 tff(24994,plain,
% 6.44/5.34 (((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41)) | trans(s204, s42))),
% 6.44/5.34 inference(monotonicity,[status(thm)],[24993])).
% 6.44/5.34 tff(24995,plain,
% 6.44/5.34 (((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42))),
% 6.44/5.35 inference(transitivity,[status(thm)],[24994, 24872])).
% 6.44/5.35 tff(24996,plain,
% 6.44/5.35 ((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42)) | trans(s204, s43))),
% 6.44/5.35 inference(monotonicity,[status(thm)],[24995])).
% 6.44/5.35 tff(24997,plain,
% 6.44/5.35 ((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43))),
% 6.44/5.35 inference(transitivity,[status(thm)],[24996, 24871])).
% 6.44/5.35 tff(24998,plain,
% 6.44/5.35 (((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43)) | trans(s204, s44))),
% 6.44/5.35 inference(monotonicity,[status(thm)],[24997])).
% 6.44/5.35 tff(24999,plain,
% 6.44/5.35 (((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44))),
% 6.44/5.35 inference(transitivity,[status(thm)],[24998, 24870])).
% 6.44/5.35 tff(25000,plain,
% 6.44/5.35 ((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44)) | trans(s204, s45))),
% 6.51/5.35 inference(monotonicity,[status(thm)],[24999])).
% 6.51/5.35 tff(25001,plain,
% 6.51/5.35 ((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45))),
% 6.51/5.35 inference(transitivity,[status(thm)],[25000, 24869])).
% 6.51/5.35 tff(25002,plain,
% 6.51/5.35 (((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45)) | trans(s204, s46))),
% 6.51/5.36 inference(monotonicity,[status(thm)],[25001])).
% 6.51/5.36 tff(25003,plain,
% 6.51/5.36 (((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46))),
% 6.51/5.36 inference(transitivity,[status(thm)],[25002, 24868])).
% 6.51/5.36 tff(25004,plain,
% 6.51/5.36 ((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46)) | trans(s204, s47))),
% 6.51/5.36 inference(monotonicity,[status(thm)],[25003])).
% 6.51/5.36 tff(25005,plain,
% 6.51/5.36 ((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47))),
% 6.51/5.36 inference(transitivity,[status(thm)],[25004, 24867])).
% 6.51/5.36 tff(25006,plain,
% 6.51/5.36 (((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47)) | trans(s204, s48))),
% 6.51/5.36 inference(monotonicity,[status(thm)],[25005])).
% 6.51/5.36 tff(25007,plain,
% 6.51/5.36 (((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48))),
% 6.51/5.36 inference(transitivity,[status(thm)],[25006, 24866])).
% 6.51/5.36 tff(25008,plain,
% 6.51/5.36 ((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48)) | trans(s204, s49))),
% 6.51/5.36 inference(monotonicity,[status(thm)],[25007])).
% 6.51/5.36 tff(25009,plain,
% 6.51/5.36 ((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49))),
% 6.51/5.36 inference(transitivity,[status(thm)],[25008, 24865])).
% 6.51/5.36 tff(25010,plain,
% 6.51/5.36 (((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49)) | trans(s204, s50))),
% 6.51/5.37 inference(monotonicity,[status(thm)],[25009])).
% 6.51/5.37 tff(25011,plain,
% 6.51/5.37 (((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50))),
% 6.51/5.37 inference(transitivity,[status(thm)],[25010, 24864])).
% 6.51/5.37 tff(25012,plain,
% 6.51/5.37 ((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50)) | trans(s204, s51))),
% 6.53/5.37 inference(monotonicity,[status(thm)],[25011])).
% 6.53/5.37 tff(25013,plain,
% 6.53/5.37 ((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51))),
% 6.53/5.37 inference(transitivity,[status(thm)],[25012, 24863])).
% 6.53/5.37 tff(25014,plain,
% 6.53/5.37 (((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51)) | trans(s204, s52))),
% 6.53/5.37 inference(monotonicity,[status(thm)],[25013])).
% 6.53/5.37 tff(25015,plain,
% 6.53/5.37 (((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52))),
% 6.53/5.37 inference(transitivity,[status(thm)],[25014, 24862])).
% 6.53/5.37 tff(25016,plain,
% 6.53/5.37 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52)) | trans(s204, s53))),
% 6.53/5.38 inference(monotonicity,[status(thm)],[25015])).
% 6.53/5.38 tff(25017,plain,
% 6.53/5.38 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53))),
% 6.53/5.38 inference(transitivity,[status(thm)],[25016, 24861])).
% 6.53/5.38 tff(25018,plain,
% 6.53/5.38 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53)) | trans(s204, s54))),
% 6.53/5.38 inference(monotonicity,[status(thm)],[25017])).
% 6.53/5.38 tff(25019,plain,
% 6.53/5.38 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54))),
% 6.53/5.38 inference(transitivity,[status(thm)],[25018, 24860])).
% 6.53/5.38 tff(25020,plain,
% 6.53/5.38 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54)) | trans(s204, s55))),
% 6.53/5.38 inference(monotonicity,[status(thm)],[25019])).
% 6.53/5.38 tff(25021,plain,
% 6.53/5.38 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55))),
% 6.53/5.39 inference(transitivity,[status(thm)],[25020, 24859])).
% 6.53/5.39 tff(25022,plain,
% 6.53/5.39 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55)) | trans(s204, s56))),
% 6.53/5.39 inference(monotonicity,[status(thm)],[25021])).
% 6.53/5.39 tff(25023,plain,
% 6.53/5.39 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56))),
% 6.53/5.39 inference(transitivity,[status(thm)],[25022, 24858])).
% 6.53/5.39 tff(25024,plain,
% 6.53/5.39 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56)) | trans(s204, s57))),
% 6.53/5.39 inference(monotonicity,[status(thm)],[25023])).
% 6.53/5.39 tff(25025,plain,
% 6.53/5.39 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57))),
% 6.53/5.39 inference(transitivity,[status(thm)],[25024, 24857])).
% 6.53/5.39 tff(25026,plain,
% 6.53/5.39 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57)) | trans(s204, s58))),
% 6.53/5.40 inference(monotonicity,[status(thm)],[25025])).
% 6.53/5.40 tff(25027,plain,
% 6.53/5.40 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58))),
% 6.53/5.40 inference(transitivity,[status(thm)],[25026, 24856])).
% 6.53/5.40 tff(25028,plain,
% 6.53/5.40 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58)) | trans(s204, s59))),
% 6.53/5.40 inference(monotonicity,[status(thm)],[25027])).
% 6.53/5.40 tff(25029,plain,
% 6.53/5.40 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59))),
% 6.53/5.40 inference(transitivity,[status(thm)],[25028, 24855])).
% 6.53/5.40 tff(25030,plain,
% 6.53/5.40 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59)) | trans(s204, s60))),
% 6.53/5.40 inference(monotonicity,[status(thm)],[25029])).
% 6.53/5.40 tff(25031,plain,
% 6.53/5.40 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60))),
% 6.53/5.41 inference(transitivity,[status(thm)],[25030, 24854])).
% 6.53/5.41 tff(25032,plain,
% 6.53/5.41 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60)) | trans(s204, s61))),
% 6.53/5.41 inference(monotonicity,[status(thm)],[25031])).
% 6.53/5.41 tff(25033,plain,
% 6.53/5.41 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61))),
% 6.53/5.41 inference(transitivity,[status(thm)],[25032, 24853])).
% 6.53/5.41 tff(25034,plain,
% 6.53/5.41 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61)) | trans(s204, s62))),
% 6.53/5.41 inference(monotonicity,[status(thm)],[25033])).
% 6.53/5.41 tff(25035,plain,
% 6.53/5.41 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62))),
% 6.53/5.41 inference(transitivity,[status(thm)],[25034, 24852])).
% 6.53/5.41 tff(25036,plain,
% 6.53/5.41 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62)) | trans(s204, s63))),
% 6.58/5.42 inference(monotonicity,[status(thm)],[25035])).
% 6.58/5.42 tff(25037,plain,
% 6.58/5.42 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63))),
% 6.58/5.42 inference(transitivity,[status(thm)],[25036, 24851])).
% 6.58/5.42 tff(25038,plain,
% 6.58/5.42 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63)) | trans(s204, s64))),
% 6.58/5.42 inference(monotonicity,[status(thm)],[25037])).
% 6.58/5.42 tff(25039,plain,
% 6.58/5.42 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64))),
% 6.58/5.42 inference(transitivity,[status(thm)],[25038, 24850])).
% 6.58/5.42 tff(25040,plain,
% 6.58/5.42 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64)) | trans(s204, s65))),
% 6.58/5.43 inference(monotonicity,[status(thm)],[25039])).
% 6.58/5.43 tff(25041,plain,
% 6.58/5.43 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65))),
% 6.58/5.43 inference(transitivity,[status(thm)],[25040, 24849])).
% 6.58/5.43 tff(25042,plain,
% 6.58/5.43 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65)) | trans(s204, s66))),
% 6.58/5.43 inference(monotonicity,[status(thm)],[25041])).
% 6.58/5.43 tff(25043,plain,
% 6.58/5.43 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66))),
% 6.58/5.43 inference(transitivity,[status(thm)],[25042, 24848])).
% 6.58/5.43 tff(25044,plain,
% 6.58/5.43 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66)) | trans(s204, s67))),
% 6.58/5.43 inference(monotonicity,[status(thm)],[25043])).
% 6.58/5.43 tff(25045,plain,
% 6.58/5.43 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67))),
% 6.58/5.43 inference(transitivity,[status(thm)],[25044, 24847])).
% 6.58/5.43 tff(25046,plain,
% 6.58/5.43 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67)) | trans(s204, s68))),
% 6.58/5.44 inference(monotonicity,[status(thm)],[25045])).
% 6.58/5.44 tff(25047,plain,
% 6.58/5.44 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68))),
% 6.58/5.44 inference(transitivity,[status(thm)],[25046, 24846])).
% 6.58/5.44 tff(25048,plain,
% 6.58/5.44 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68)) | trans(s204, s69))),
% 6.58/5.44 inference(monotonicity,[status(thm)],[25047])).
% 6.58/5.44 tff(25049,plain,
% 6.58/5.44 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69))),
% 6.58/5.44 inference(transitivity,[status(thm)],[25048, 24845])).
% 6.58/5.44 tff(25050,plain,
% 6.58/5.44 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69)) | trans(s204, s70))),
% 6.58/5.44 inference(monotonicity,[status(thm)],[25049])).
% 6.58/5.44 tff(25051,plain,
% 6.58/5.44 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70))),
% 6.58/5.45 inference(transitivity,[status(thm)],[25050, 24844])).
% 6.58/5.45 tff(25052,plain,
% 6.58/5.45 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70)) | trans(s204, s71))),
% 6.58/5.45 inference(monotonicity,[status(thm)],[25051])).
% 6.58/5.45 tff(25053,plain,
% 6.58/5.45 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71))),
% 6.58/5.45 inference(transitivity,[status(thm)],[25052, 24843])).
% 6.58/5.45 tff(25054,plain,
% 6.58/5.45 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71)) | trans(s204, s72))),
% 6.58/5.45 inference(monotonicity,[status(thm)],[25053])).
% 6.58/5.45 tff(25055,plain,
% 6.58/5.45 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72))),
% 6.62/5.46 inference(transitivity,[status(thm)],[25054, 24842])).
% 6.62/5.46 tff(25056,plain,
% 6.62/5.46 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72)) | trans(s204, s73))),
% 6.62/5.46 inference(monotonicity,[status(thm)],[25055])).
% 6.62/5.46 tff(25057,plain,
% 6.62/5.46 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73))),
% 6.62/5.46 inference(transitivity,[status(thm)],[25056, 24841])).
% 6.62/5.46 tff(25058,plain,
% 6.62/5.46 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73)) | trans(s204, s74))),
% 6.62/5.46 inference(monotonicity,[status(thm)],[25057])).
% 6.62/5.46 tff(25059,plain,
% 6.62/5.46 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74))),
% 6.62/5.47 inference(transitivity,[status(thm)],[25058, 24840])).
% 6.62/5.47 tff(25060,plain,
% 6.62/5.47 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74)) | trans(s204, s75))),
% 6.62/5.47 inference(monotonicity,[status(thm)],[25059])).
% 6.62/5.47 tff(25061,plain,
% 6.62/5.47 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75))),
% 6.62/5.47 inference(transitivity,[status(thm)],[25060, 24839])).
% 6.62/5.47 tff(25062,plain,
% 6.62/5.47 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75)) | trans(s204, s76))),
% 6.62/5.47 inference(monotonicity,[status(thm)],[25061])).
% 6.62/5.47 tff(25063,plain,
% 6.62/5.47 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76))),
% 6.62/5.48 inference(transitivity,[status(thm)],[25062, 24838])).
% 6.62/5.48 tff(25064,plain,
% 6.62/5.48 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76)) | trans(s204, s77))),
% 6.62/5.48 inference(monotonicity,[status(thm)],[25063])).
% 6.62/5.48 tff(25065,plain,
% 6.62/5.48 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77))),
% 6.62/5.48 inference(transitivity,[status(thm)],[25064, 24837])).
% 6.62/5.48 tff(25066,plain,
% 6.62/5.48 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77)) | trans(s204, s78))),
% 6.62/5.48 inference(monotonicity,[status(thm)],[25065])).
% 6.62/5.48 tff(25067,plain,
% 6.62/5.48 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78))),
% 6.62/5.49 inference(transitivity,[status(thm)],[25066, 24836])).
% 6.62/5.49 tff(25068,plain,
% 6.62/5.49 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78)) | trans(s204, s79))),
% 6.62/5.49 inference(monotonicity,[status(thm)],[25067])).
% 6.62/5.49 tff(25069,plain,
% 6.62/5.49 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79))),
% 6.62/5.49 inference(transitivity,[status(thm)],[25068, 24835])).
% 6.62/5.49 tff(25070,plain,
% 6.62/5.49 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79)) | trans(s204, s80))),
% 6.62/5.50 inference(monotonicity,[status(thm)],[25069])).
% 6.62/5.50 tff(25071,plain,
% 6.62/5.50 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80))),
% 6.62/5.50 inference(transitivity,[status(thm)],[25070, 24834])).
% 6.62/5.50 tff(25072,plain,
% 6.62/5.50 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80)) | trans(s204, s81))),
% 6.62/5.50 inference(monotonicity,[status(thm)],[25071])).
% 6.62/5.50 tff(25073,plain,
% 6.62/5.50 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81))),
% 6.62/5.50 inference(transitivity,[status(thm)],[25072, 24833])).
% 6.62/5.50 tff(25074,plain,
% 6.62/5.50 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81)) | trans(s204, s82))),
% 6.62/5.50 inference(monotonicity,[status(thm)],[25073])).
% 6.62/5.50 tff(25075,plain,
% 6.62/5.50 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82))),
% 6.62/5.51 inference(transitivity,[status(thm)],[25074, 24832])).
% 6.62/5.51 tff(25076,plain,
% 6.62/5.51 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82)) | trans(s204, s83))),
% 6.62/5.51 inference(monotonicity,[status(thm)],[25075])).
% 6.62/5.51 tff(25077,plain,
% 6.62/5.51 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83))),
% 6.62/5.51 inference(transitivity,[status(thm)],[25076, 24831])).
% 6.62/5.51 tff(25078,plain,
% 6.62/5.51 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83)) | trans(s204, s84))),
% 6.62/5.51 inference(monotonicity,[status(thm)],[25077])).
% 6.62/5.51 tff(25079,plain,
% 6.62/5.51 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84))),
% 6.62/5.52 inference(transitivity,[status(thm)],[25078, 24830])).
% 6.62/5.52 tff(25080,plain,
% 6.62/5.52 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84)) | trans(s204, s85))),
% 6.62/5.52 inference(monotonicity,[status(thm)],[25079])).
% 6.62/5.52 tff(25081,plain,
% 6.62/5.52 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85))),
% 6.62/5.52 inference(transitivity,[status(thm)],[25080, 24829])).
% 6.62/5.52 tff(25082,plain,
% 6.62/5.52 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85)) | trans(s204, s86))),
% 6.62/5.53 inference(monotonicity,[status(thm)],[25081])).
% 6.62/5.53 tff(25083,plain,
% 6.62/5.53 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86))),
% 6.62/5.53 inference(transitivity,[status(thm)],[25082, 24828])).
% 6.62/5.53 tff(25084,plain,
% 6.62/5.53 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86)) | trans(s204, s87))),
% 6.62/5.53 inference(monotonicity,[status(thm)],[25083])).
% 6.62/5.53 tff(25085,plain,
% 6.62/5.53 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87))),
% 6.62/5.53 inference(transitivity,[status(thm)],[25084, 24827])).
% 6.62/5.53 tff(25086,plain,
% 6.62/5.53 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87)) | trans(s204, s88))),
% 6.62/5.54 inference(monotonicity,[status(thm)],[25085])).
% 6.62/5.54 tff(25087,plain,
% 6.62/5.54 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88))),
% 6.70/5.54 inference(transitivity,[status(thm)],[25086, 24826])).
% 6.70/5.54 tff(25088,plain,
% 6.70/5.54 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88)) | trans(s204, s89))),
% 6.70/5.54 inference(monotonicity,[status(thm)],[25087])).
% 6.70/5.54 tff(25089,plain,
% 6.70/5.54 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89))),
% 6.70/5.54 inference(transitivity,[status(thm)],[25088, 24825])).
% 6.70/5.54 tff(25090,plain,
% 6.70/5.54 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89)) | trans(s204, s90))),
% 6.70/5.55 inference(monotonicity,[status(thm)],[25089])).
% 6.70/5.55 tff(25091,plain,
% 6.70/5.55 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90))),
% 6.70/5.55 inference(transitivity,[status(thm)],[25090, 24824])).
% 6.70/5.55 tff(25092,plain,
% 6.70/5.55 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90)) | trans(s204, s91))),
% 6.70/5.55 inference(monotonicity,[status(thm)],[25091])).
% 6.70/5.55 tff(25093,plain,
% 6.70/5.55 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91))),
% 6.70/5.56 inference(transitivity,[status(thm)],[25092, 24823])).
% 6.70/5.56 tff(25094,plain,
% 6.70/5.56 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91)) | trans(s204, s92))),
% 6.70/5.56 inference(monotonicity,[status(thm)],[25093])).
% 6.70/5.56 tff(25095,plain,
% 6.70/5.56 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92))),
% 6.70/5.56 inference(transitivity,[status(thm)],[25094, 24822])).
% 6.70/5.56 tff(25096,plain,
% 6.70/5.56 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92)) | trans(s204, s93))),
% 6.70/5.56 inference(monotonicity,[status(thm)],[25095])).
% 6.70/5.56 tff(25097,plain,
% 6.70/5.56 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93))),
% 6.70/5.57 inference(transitivity,[status(thm)],[25096, 24821])).
% 6.70/5.57 tff(25098,plain,
% 6.70/5.57 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93)) | trans(s204, s94))),
% 6.70/5.57 inference(monotonicity,[status(thm)],[25097])).
% 6.70/5.57 tff(25099,plain,
% 6.70/5.57 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94))),
% 6.70/5.57 inference(transitivity,[status(thm)],[25098, 24820])).
% 6.70/5.57 tff(25100,plain,
% 6.70/5.57 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94)) | trans(s204, s95))),
% 6.70/5.58 inference(monotonicity,[status(thm)],[25099])).
% 6.70/5.58 tff(25101,plain,
% 6.70/5.58 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95))),
% 6.70/5.58 inference(transitivity,[status(thm)],[25100, 24819])).
% 6.70/5.58 tff(25102,plain,
% 6.70/5.58 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95)) | trans(s204, s96))),
% 6.70/5.58 inference(monotonicity,[status(thm)],[25101])).
% 6.70/5.58 tff(25103,plain,
% 6.70/5.58 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96))),
% 6.70/5.59 inference(transitivity,[status(thm)],[25102, 24818])).
% 6.70/5.59 tff(25104,plain,
% 6.70/5.59 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96)) | trans(s204, s97))),
% 6.70/5.59 inference(monotonicity,[status(thm)],[25103])).
% 6.70/5.59 tff(25105,plain,
% 6.70/5.59 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97))),
% 6.70/5.59 inference(transitivity,[status(thm)],[25104, 24817])).
% 6.70/5.59 tff(25106,plain,
% 6.70/5.59 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97)) | trans(s204, s98))),
% 6.76/5.59 inference(monotonicity,[status(thm)],[25105])).
% 6.76/5.59 tff(25107,plain,
% 6.76/5.59 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98))),
% 6.76/5.60 inference(transitivity,[status(thm)],[25106, 24816])).
% 6.76/5.60 tff(25108,plain,
% 6.76/5.60 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98)) | trans(s204, s99))),
% 6.76/5.60 inference(monotonicity,[status(thm)],[25107])).
% 6.76/5.60 tff(25109,plain,
% 6.76/5.60 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99))),
% 6.76/5.60 inference(transitivity,[status(thm)],[25108, 24815])).
% 6.76/5.60 tff(25110,plain,
% 6.76/5.60 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99)) | trans(s204, s100))),
% 6.76/5.61 inference(monotonicity,[status(thm)],[25109])).
% 6.76/5.61 tff(25111,plain,
% 6.76/5.61 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100))),
% 6.76/5.61 inference(transitivity,[status(thm)],[25110, 24814])).
% 6.76/5.61 tff(25112,plain,
% 6.76/5.61 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100)) | trans(s204, s101))),
% 6.76/5.61 inference(monotonicity,[status(thm)],[25111])).
% 6.76/5.61 tff(25113,plain,
% 6.76/5.61 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101))),
% 6.76/5.62 inference(transitivity,[status(thm)],[25112, 24813])).
% 6.76/5.62 tff(25114,plain,
% 6.76/5.62 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101)) | trans(s204, s102))),
% 6.76/5.62 inference(monotonicity,[status(thm)],[25113])).
% 6.76/5.62 tff(25115,plain,
% 6.76/5.62 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102))),
% 6.76/5.62 inference(transitivity,[status(thm)],[25114, 24812])).
% 6.76/5.62 tff(25116,plain,
% 6.76/5.62 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102)) | trans(s204, s103))),
% 6.76/5.63 inference(monotonicity,[status(thm)],[25115])).
% 6.76/5.63 tff(25117,plain,
% 6.76/5.63 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103))),
% 6.76/5.63 inference(transitivity,[status(thm)],[25116, 24811])).
% 6.76/5.63 tff(25118,plain,
% 6.76/5.63 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103)) | trans(s204, s104))),
% 6.76/5.63 inference(monotonicity,[status(thm)],[25117])).
% 6.76/5.63 tff(25119,plain,
% 6.76/5.63 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104))),
% 6.76/5.64 inference(transitivity,[status(thm)],[25118, 24810])).
% 6.76/5.64 tff(25120,plain,
% 6.76/5.64 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104)) | trans(s204, s105))),
% 6.76/5.64 inference(monotonicity,[status(thm)],[25119])).
% 6.76/5.64 tff(25121,plain,
% 6.76/5.64 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105))),
% 6.76/5.64 inference(transitivity,[status(thm)],[25120, 24809])).
% 6.76/5.64 tff(25122,plain,
% 6.76/5.64 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105)) | trans(s204, s106))),
% 6.76/5.64 inference(monotonicity,[status(thm)],[25121])).
% 6.76/5.64 tff(25123,plain,
% 6.76/5.65 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106))),
% 6.81/5.65 inference(transitivity,[status(thm)],[25122, 24808])).
% 6.81/5.65 tff(25124,plain,
% 6.81/5.65 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106)) | trans(s204, s107))),
% 6.82/5.65 inference(monotonicity,[status(thm)],[25123])).
% 6.82/5.65 tff(25125,plain,
% 6.82/5.65 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107))),
% 6.82/5.66 inference(transitivity,[status(thm)],[25124, 24807])).
% 6.82/5.66 tff(25126,plain,
% 6.82/5.66 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107)) | trans(s204, s108))),
% 6.82/5.66 inference(monotonicity,[status(thm)],[25125])).
% 6.82/5.66 tff(25127,plain,
% 6.82/5.66 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108))),
% 6.82/5.66 inference(transitivity,[status(thm)],[25126, 24806])).
% 6.82/5.66 tff(25128,plain,
% 6.82/5.66 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108)) | trans(s204, s109))),
% 6.82/5.67 inference(monotonicity,[status(thm)],[25127])).
% 6.82/5.67 tff(25129,plain,
% 6.82/5.67 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109))),
% 6.82/5.67 inference(transitivity,[status(thm)],[25128, 24805])).
% 6.82/5.67 tff(25130,plain,
% 6.82/5.67 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109)) | trans(s204, s110))),
% 6.82/5.67 inference(monotonicity,[status(thm)],[25129])).
% 6.82/5.67 tff(25131,plain,
% 6.82/5.67 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110))),
% 6.82/5.68 inference(transitivity,[status(thm)],[25130, 24804])).
% 6.82/5.68 tff(25132,plain,
% 6.82/5.68 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110)) | trans(s204, s111))),
% 6.82/5.68 inference(monotonicity,[status(thm)],[25131])).
% 6.82/5.68 tff(25133,plain,
% 6.82/5.68 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111))),
% 6.82/5.69 inference(transitivity,[status(thm)],[25132, 24803])).
% 6.82/5.69 tff(25134,plain,
% 6.82/5.69 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111)) | trans(s204, s112))),
% 6.82/5.69 inference(monotonicity,[status(thm)],[25133])).
% 6.82/5.69 tff(25135,plain,
% 6.82/5.69 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112))),
% 6.82/5.69 inference(transitivity,[status(thm)],[25134, 24802])).
% 6.82/5.69 tff(25136,plain,
% 6.82/5.69 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112)) | trans(s204, s113))),
% 6.82/5.70 inference(monotonicity,[status(thm)],[25135])).
% 6.82/5.70 tff(25137,plain,
% 6.82/5.70 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113))),
% 6.86/5.70 inference(transitivity,[status(thm)],[25136, 24801])).
% 6.86/5.70 tff(25138,plain,
% 6.86/5.70 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113)) | trans(s204, s114))),
% 6.86/5.70 inference(monotonicity,[status(thm)],[25137])).
% 6.86/5.70 tff(25139,plain,
% 6.86/5.70 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114))),
% 6.86/5.71 inference(transitivity,[status(thm)],[25138, 24800])).
% 6.86/5.71 tff(25140,plain,
% 6.86/5.71 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114)) | trans(s204, s115))),
% 6.86/5.71 inference(monotonicity,[status(thm)],[25139])).
% 6.86/5.71 tff(25141,plain,
% 6.86/5.71 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115))),
% 6.86/5.72 inference(transitivity,[status(thm)],[25140, 24799])).
% 6.86/5.72 tff(25142,plain,
% 6.86/5.72 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115)) | trans(s204, s116))),
% 6.86/5.72 inference(monotonicity,[status(thm)],[25141])).
% 6.86/5.72 tff(25143,plain,
% 6.86/5.72 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116))),
% 6.86/5.72 inference(transitivity,[status(thm)],[25142, 24798])).
% 6.86/5.72 tff(25144,plain,
% 6.86/5.72 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116)) | trans(s204, s117))),
% 6.86/5.72 inference(monotonicity,[status(thm)],[25143])).
% 6.86/5.72 tff(25145,plain,
% 6.86/5.72 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117))),
% 6.86/5.73 inference(transitivity,[status(thm)],[25144, 24797])).
% 6.86/5.73 tff(25146,plain,
% 6.86/5.73 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117)) | trans(s204, s118))),
% 6.86/5.73 inference(monotonicity,[status(thm)],[25145])).
% 6.86/5.73 tff(25147,plain,
% 6.86/5.73 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118))),
% 6.86/5.74 inference(transitivity,[status(thm)],[25146, 24796])).
% 6.86/5.74 tff(25148,plain,
% 6.86/5.74 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118)) | trans(s204, s119))),
% 6.90/5.74 inference(monotonicity,[status(thm)],[25147])).
% 6.90/5.74 tff(25149,plain,
% 6.90/5.74 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119))),
% 6.90/5.74 inference(transitivity,[status(thm)],[25148, 24795])).
% 6.90/5.74 tff(25150,plain,
% 6.90/5.74 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119)) | trans(s204, s120))),
% 6.90/5.75 inference(monotonicity,[status(thm)],[25149])).
% 6.90/5.75 tff(25151,plain,
% 6.90/5.75 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120))),
% 6.90/5.75 inference(transitivity,[status(thm)],[25150, 24794])).
% 6.90/5.75 tff(25152,plain,
% 6.90/5.75 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120)) | trans(s204, s121))),
% 6.90/5.76 inference(monotonicity,[status(thm)],[25151])).
% 6.90/5.76 tff(25153,plain,
% 6.90/5.76 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121))),
% 6.90/5.76 inference(transitivity,[status(thm)],[25152, 24793])).
% 6.90/5.76 tff(25154,plain,
% 6.90/5.76 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121)) | trans(s204, s122))),
% 6.90/5.76 inference(monotonicity,[status(thm)],[25153])).
% 6.90/5.76 tff(25155,plain,
% 6.90/5.76 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122))),
% 6.90/5.77 inference(transitivity,[status(thm)],[25154, 24792])).
% 6.90/5.77 tff(25156,plain,
% 6.90/5.77 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122)) | trans(s204, s123))),
% 6.90/5.77 inference(monotonicity,[status(thm)],[25155])).
% 6.90/5.77 tff(25157,plain,
% 6.90/5.77 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123))),
% 6.90/5.77 inference(transitivity,[status(thm)],[25156, 24791])).
% 6.90/5.77 tff(25158,plain,
% 6.90/5.77 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123)) | trans(s204, s124))),
% 6.90/5.78 inference(monotonicity,[status(thm)],[25157])).
% 6.90/5.78 tff(25159,plain,
% 6.90/5.78 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124))),
% 6.90/5.78 inference(transitivity,[status(thm)],[25158, 24790])).
% 6.90/5.78 tff(25160,plain,
% 6.90/5.78 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124)) | trans(s204, s125))),
% 6.90/5.79 inference(monotonicity,[status(thm)],[25159])).
% 6.90/5.79 tff(25161,plain,
% 6.90/5.79 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125))),
% 6.90/5.79 inference(transitivity,[status(thm)],[25160, 24789])).
% 6.90/5.79 tff(25162,plain,
% 6.90/5.79 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125)) | trans(s204, s126))),
% 6.90/5.79 inference(monotonicity,[status(thm)],[25161])).
% 6.90/5.79 tff(25163,plain,
% 6.90/5.79 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126))),
% 6.90/5.80 inference(transitivity,[status(thm)],[25162, 24788])).
% 6.90/5.80 tff(25164,plain,
% 6.90/5.80 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126)) | trans(s204, s127))),
% 6.90/5.80 inference(monotonicity,[status(thm)],[25163])).
% 6.90/5.80 tff(25165,plain,
% 6.90/5.80 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127))),
% 6.90/5.81 inference(transitivity,[status(thm)],[25164, 24787])).
% 6.90/5.81 tff(25166,plain,
% 6.90/5.81 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127)) | trans(s204, s128))),
% 6.90/5.81 inference(monotonicity,[status(thm)],[25165])).
% 6.90/5.81 tff(25167,plain,
% 6.90/5.81 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128))),
% 6.90/5.82 inference(transitivity,[status(thm)],[25166, 24786])).
% 6.90/5.82 tff(25168,plain,
% 6.90/5.82 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128)) | trans(s204, s129))),
% 6.90/5.82 inference(monotonicity,[status(thm)],[25167])).
% 6.90/5.82 tff(25169,plain,
% 6.90/5.82 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129))),
% 6.90/5.82 inference(transitivity,[status(thm)],[25168, 24785])).
% 6.90/5.82 tff(25170,plain,
% 6.90/5.82 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129)) | trans(s204, s130))),
% 6.90/5.83 inference(monotonicity,[status(thm)],[25169])).
% 6.90/5.83 tff(25171,plain,
% 6.90/5.83 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130))),
% 6.90/5.83 inference(transitivity,[status(thm)],[25170, 24784])).
% 6.90/5.83 tff(25172,plain,
% 6.90/5.83 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130)) | trans(s204, s131))),
% 6.90/5.83 inference(monotonicity,[status(thm)],[25171])).
% 6.90/5.83 tff(25173,plain,
% 6.90/5.83 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131))),
% 7.00/5.84 inference(transitivity,[status(thm)],[25172, 24783])).
% 7.00/5.84 tff(25174,plain,
% 7.00/5.84 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131)) | trans(s204, s132))),
% 7.00/5.84 inference(monotonicity,[status(thm)],[25173])).
% 7.00/5.84 tff(25175,plain,
% 7.00/5.84 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132))),
% 7.00/5.85 inference(transitivity,[status(thm)],[25174, 24782])).
% 7.00/5.85 tff(25176,plain,
% 7.00/5.85 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132)) | trans(s204, s133))),
% 7.00/5.85 inference(monotonicity,[status(thm)],[25175])).
% 7.00/5.85 tff(25177,plain,
% 7.00/5.85 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133))),
% 7.00/5.86 inference(transitivity,[status(thm)],[25176, 24781])).
% 7.00/5.86 tff(25178,plain,
% 7.00/5.86 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133)) | trans(s204, s134))),
% 7.00/5.86 inference(monotonicity,[status(thm)],[25177])).
% 7.00/5.86 tff(25179,plain,
% 7.00/5.86 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134))),
% 7.00/5.87 inference(transitivity,[status(thm)],[25178, 24780])).
% 7.00/5.87 tff(25180,plain,
% 7.00/5.87 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134)) | trans(s204, s135))),
% 7.00/5.87 inference(monotonicity,[status(thm)],[25179])).
% 7.00/5.87 tff(25181,plain,
% 7.00/5.87 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135))),
% 7.00/5.87 inference(transitivity,[status(thm)],[25180, 24779])).
% 7.00/5.87 tff(25182,plain,
% 7.00/5.87 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135)) | trans(s204, s136))),
% 7.00/5.88 inference(monotonicity,[status(thm)],[25181])).
% 7.00/5.88 tff(25183,plain,
% 7.00/5.88 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136))),
% 7.00/5.88 inference(transitivity,[status(thm)],[25182, 24778])).
% 7.00/5.88 tff(25184,plain,
% 7.00/5.88 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136)) | trans(s204, s137))),
% 7.00/5.89 inference(monotonicity,[status(thm)],[25183])).
% 7.00/5.89 tff(25185,plain,
% 7.00/5.89 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137))),
% 7.00/5.89 inference(transitivity,[status(thm)],[25184, 24777])).
% 7.00/5.89 tff(25186,plain,
% 7.00/5.89 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137)) | trans(s204, s138))),
% 7.00/5.89 inference(monotonicity,[status(thm)],[25185])).
% 7.00/5.89 tff(25187,plain,
% 7.00/5.89 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138))),
% 7.06/5.90 inference(transitivity,[status(thm)],[25186, 24776])).
% 7.06/5.90 tff(25188,plain,
% 7.06/5.90 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138)) | trans(s204, s139))),
% 7.06/5.90 inference(monotonicity,[status(thm)],[25187])).
% 7.06/5.90 tff(25189,plain,
% 7.06/5.90 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139))),
% 7.06/5.91 inference(transitivity,[status(thm)],[25188, 24775])).
% 7.06/5.91 tff(25190,plain,
% 7.06/5.91 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139)) | trans(s204, s140))),
% 7.06/5.91 inference(monotonicity,[status(thm)],[25189])).
% 7.06/5.91 tff(25191,plain,
% 7.06/5.91 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140))),
% 7.06/5.91 inference(transitivity,[status(thm)],[25190, 24774])).
% 7.06/5.91 tff(25192,plain,
% 7.06/5.91 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140)) | trans(s204, s141))),
% 7.06/5.92 inference(monotonicity,[status(thm)],[25191])).
% 7.06/5.92 tff(25193,plain,
% 7.06/5.92 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141))),
% 7.06/5.92 inference(transitivity,[status(thm)],[25192, 24773])).
% 7.06/5.92 tff(25194,plain,
% 7.06/5.92 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141)) | trans(s204, s142))),
% 7.06/5.93 inference(monotonicity,[status(thm)],[25193])).
% 7.06/5.93 tff(25195,plain,
% 7.06/5.93 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142))),
% 7.06/5.93 inference(transitivity,[status(thm)],[25194, 24772])).
% 7.06/5.93 tff(25196,plain,
% 7.06/5.93 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142)) | trans(s204, s143))),
% 7.06/5.94 inference(monotonicity,[status(thm)],[25195])).
% 7.06/5.94 tff(25197,plain,
% 7.06/5.94 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143))),
% 7.06/5.94 inference(transitivity,[status(thm)],[25196, 24771])).
% 7.06/5.94 tff(25198,plain,
% 7.06/5.94 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143)) | trans(s204, s144))),
% 7.06/5.95 inference(monotonicity,[status(thm)],[25197])).
% 7.06/5.95 tff(25199,plain,
% 7.06/5.95 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144))),
% 7.11/5.95 inference(transitivity,[status(thm)],[25198, 24770])).
% 7.11/5.95 tff(25200,plain,
% 7.11/5.95 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144)) | trans(s204, s145))),
% 7.12/5.96 inference(monotonicity,[status(thm)],[25199])).
% 7.12/5.96 tff(25201,plain,
% 7.12/5.96 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145))),
% 7.12/5.96 inference(transitivity,[status(thm)],[25200, 24769])).
% 7.12/5.96 tff(25202,plain,
% 7.12/5.96 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145)) | trans(s204, s146))),
% 7.12/5.97 inference(monotonicity,[status(thm)],[25201])).
% 7.12/5.97 tff(25203,plain,
% 7.12/5.97 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146))),
% 7.12/5.97 inference(transitivity,[status(thm)],[25202, 24768])).
% 7.12/5.97 tff(25204,plain,
% 7.12/5.97 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146)) | trans(s204, s147))),
% 7.12/5.97 inference(monotonicity,[status(thm)],[25203])).
% 7.12/5.97 tff(25205,plain,
% 7.12/5.97 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147))),
% 7.12/5.98 inference(transitivity,[status(thm)],[25204, 24767])).
% 7.12/5.98 tff(25206,plain,
% 7.12/5.98 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147)) | trans(s204, s148))),
% 7.12/5.98 inference(monotonicity,[status(thm)],[25205])).
% 7.12/5.98 tff(25207,plain,
% 7.12/5.98 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148))),
% 7.12/5.99 inference(transitivity,[status(thm)],[25206, 24766])).
% 7.12/5.99 tff(25208,plain,
% 7.12/5.99 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) | trans(s204, s149)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148)) | trans(s204, s149))),
% 7.12/5.99 inference(monotonicity,[status(thm)],[25207])).
% 7.12/5.99 tff(25209,plain,
% 7.12/5.99 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) | trans(s204, s149)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149))),
% 7.12/6.00 inference(transitivity,[status(thm)],[25208, 24765])).
% 7.12/6.00 tff(25210,plain,
% 7.12/6.00 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) | trans(s204, s149)) | trans(s204, s150)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149)) | trans(s204, s150))),
% 7.12/6.00 inference(monotonicity,[status(thm)],[25209])).
% 7.12/6.00 tff(25211,plain,
% 7.12/6.00 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) | trans(s204, s149)) | trans(s204, s150)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150))),
% 7.12/6.01 inference(transitivity,[status(thm)],[25210, 24764])).
% 7.12/6.01 tff(25212,plain,
% 7.12/6.01 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) | trans(s204, s149)) | trans(s204, s150)) | trans(s204, s151)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150)) | trans(s204, s151))),
% 7.12/6.01 inference(monotonicity,[status(thm)],[25211])).
% 7.12/6.01 tff(25213,plain,
% 7.12/6.01 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) | trans(s204, s149)) | trans(s204, s150)) | trans(s204, s151)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151))),
% 7.18/6.02 inference(transitivity,[status(thm)],[25212, 24763])).
% 7.18/6.02 tff(25214,plain,
% 7.18/6.02 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) | trans(s204, s149)) | trans(s204, s150)) | trans(s204, s151)) | trans(s204, s152)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151)) | trans(s204, s152))),
% 7.18/6.02 inference(monotonicity,[status(thm)],[25213])).
% 7.18/6.02 tff(25215,plain,
% 7.18/6.02 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) | trans(s204, s149)) | trans(s204, s150)) | trans(s204, s151)) | trans(s204, s152)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152))),
% 7.18/6.03 inference(transitivity,[status(thm)],[25214, 24762])).
% 7.18/6.03 tff(25216,plain,
% 7.18/6.03 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) | trans(s204, s149)) | trans(s204, s150)) | trans(s204, s151)) | trans(s204, s152)) | trans(s204, s153)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152)) | trans(s204, s153))),
% 7.18/6.03 inference(monotonicity,[status(thm)],[25215])).
% 7.18/6.03 tff(25217,plain,
% 7.18/6.03 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) | trans(s204, s149)) | trans(s204, s150)) | trans(s204, s151)) | trans(s204, s152)) | trans(s204, s153)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153))),
% 7.18/6.04 inference(transitivity,[status(thm)],[25216, 24761])).
% 7.18/6.04 tff(25218,plain,
% 7.18/6.04 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) | trans(s204, s149)) | trans(s204, s150)) | trans(s204, s151)) | trans(s204, s152)) | trans(s204, s153)) | trans(s204, s154)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153)) | trans(s204, s154))),
% 7.18/6.04 inference(monotonicity,[status(thm)],[25217])).
% 7.18/6.04 tff(25219,plain,
% 7.18/6.04 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) | trans(s204, s149)) | trans(s204, s150)) | trans(s204, s151)) | trans(s204, s152)) | trans(s204, s153)) | trans(s204, s154)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154))),
% 7.18/6.05 inference(transitivity,[status(thm)],[25218, 24760])).
% 7.18/6.05 tff(25220,plain,
% 7.18/6.05 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) | trans(s204, s149)) | trans(s204, s150)) | trans(s204, s151)) | trans(s204, s152)) | trans(s204, s153)) | trans(s204, s154)) | trans(s204, s155)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154)) | trans(s204, s155))),
% 7.18/6.05 inference(monotonicity,[status(thm)],[25219])).
% 7.18/6.05 tff(25221,plain,
% 7.18/6.05 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) | trans(s204, s149)) | trans(s204, s150)) | trans(s204, s151)) | trans(s204, s152)) | trans(s204, s153)) | trans(s204, s154)) | trans(s204, s155)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155))),
% 7.18/6.06 inference(transitivity,[status(thm)],[25220, 24759])).
% 7.18/6.06 tff(25222,plain,
% 7.18/6.06 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) | trans(s204, s149)) | trans(s204, s150)) | trans(s204, s151)) | trans(s204, s152)) | trans(s204, s153)) | trans(s204, s154)) | trans(s204, s155)) | trans(s204, s156)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155)) | trans(s204, s156))),
% 7.22/6.06 inference(monotonicity,[status(thm)],[25221])).
% 7.22/6.06 tff(25223,plain,
% 7.22/6.06 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) | trans(s204, s149)) | trans(s204, s150)) | trans(s204, s151)) | trans(s204, s152)) | trans(s204, s153)) | trans(s204, s154)) | trans(s204, s155)) | trans(s204, s156)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156))),
% 7.22/6.07 inference(transitivity,[status(thm)],[25222, 24758])).
% 7.22/6.07 tff(25224,plain,
% 7.22/6.07 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) | trans(s204, s149)) | trans(s204, s150)) | trans(s204, s151)) | trans(s204, s152)) | trans(s204, s153)) | trans(s204, s154)) | trans(s204, s155)) | trans(s204, s156)) | trans(s204, s157)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156)) | trans(s204, s157))),
% 7.22/6.07 inference(monotonicity,[status(thm)],[25223])).
% 7.22/6.07 tff(25225,plain,
% 7.22/6.07 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) | trans(s204, s149)) | trans(s204, s150)) | trans(s204, s151)) | trans(s204, s152)) | trans(s204, s153)) | trans(s204, s154)) | trans(s204, s155)) | trans(s204, s156)) | trans(s204, s157)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157))),
% 7.22/6.08 inference(transitivity,[status(thm)],[25224, 24757])).
% 7.22/6.08 tff(25226,plain,
% 7.22/6.08 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) | trans(s204, s149)) | trans(s204, s150)) | trans(s204, s151)) | trans(s204, s152)) | trans(s204, s153)) | trans(s204, s154)) | trans(s204, s155)) | trans(s204, s156)) | trans(s204, s157)) | trans(s204, s158)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157)) | trans(s204, s158))),
% 7.22/6.08 inference(monotonicity,[status(thm)],[25225])).
% 7.22/6.08 tff(25227,plain,
% 7.22/6.08 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) | trans(s204, s149)) | trans(s204, s150)) | trans(s204, s151)) | trans(s204, s152)) | trans(s204, s153)) | trans(s204, s154)) | trans(s204, s155)) | trans(s204, s156)) | trans(s204, s157)) | trans(s204, s158)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158))),
% 7.22/6.09 inference(transitivity,[status(thm)],[25226, 24756])).
% 7.22/6.09 tff(25228,plain,
% 7.22/6.09 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) | trans(s204, s149)) | trans(s204, s150)) | trans(s204, s151)) | trans(s204, s152)) | trans(s204, s153)) | trans(s204, s154)) | trans(s204, s155)) | trans(s204, s156)) | trans(s204, s157)) | trans(s204, s158)) | trans(s204, s159)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158)) | trans(s204, s159))),
% 7.22/6.09 inference(monotonicity,[status(thm)],[25227])).
% 7.22/6.09 tff(25229,plain,
% 7.22/6.09 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) | trans(s204, s149)) | trans(s204, s150)) | trans(s204, s151)) | trans(s204, s152)) | trans(s204, s153)) | trans(s204, s154)) | trans(s204, s155)) | trans(s204, s156)) | trans(s204, s157)) | trans(s204, s158)) | trans(s204, s159)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159))),
% 7.22/6.10 inference(transitivity,[status(thm)],[25228, 24755])).
% 7.22/6.10 tff(25230,plain,
% 7.22/6.10 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) | trans(s204, s149)) | trans(s204, s150)) | trans(s204, s151)) | trans(s204, s152)) | trans(s204, s153)) | trans(s204, s154)) | trans(s204, s155)) | trans(s204, s156)) | trans(s204, s157)) | trans(s204, s158)) | trans(s204, s159)) | trans(s204, s160)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159)) | trans(s204, s160))),
% 7.22/6.10 inference(monotonicity,[status(thm)],[25229])).
% 7.22/6.10 tff(25231,plain,
% 7.22/6.10 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) | trans(s204, s149)) | trans(s204, s150)) | trans(s204, s151)) | trans(s204, s152)) | trans(s204, s153)) | trans(s204, s154)) | trans(s204, s155)) | trans(s204, s156)) | trans(s204, s157)) | trans(s204, s158)) | trans(s204, s159)) | trans(s204, s160)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160))),
% 7.22/6.11 inference(transitivity,[status(thm)],[25230, 24754])).
% 7.22/6.11 tff(25232,plain,
% 7.22/6.11 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) | trans(s204, s149)) | trans(s204, s150)) | trans(s204, s151)) | trans(s204, s152)) | trans(s204, s153)) | trans(s204, s154)) | trans(s204, s155)) | trans(s204, s156)) | trans(s204, s157)) | trans(s204, s158)) | trans(s204, s159)) | trans(s204, s160)) | trans(s204, s161)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160)) | trans(s204, s161))),
% 7.22/6.11 inference(monotonicity,[status(thm)],[25231])).
% 7.22/6.11 tff(25233,plain,
% 7.22/6.11 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) | trans(s204, s149)) | trans(s204, s150)) | trans(s204, s151)) | trans(s204, s152)) | trans(s204, s153)) | trans(s204, s154)) | trans(s204, s155)) | trans(s204, s156)) | trans(s204, s157)) | trans(s204, s158)) | trans(s204, s159)) | trans(s204, s160)) | trans(s204, s161)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161))),
% 7.22/6.12 inference(transitivity,[status(thm)],[25232, 24753])).
% 7.22/6.12 tff(25234,plain,
% 7.22/6.12 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) | trans(s204, s149)) | trans(s204, s150)) | trans(s204, s151)) | trans(s204, s152)) | trans(s204, s153)) | trans(s204, s154)) | trans(s204, s155)) | trans(s204, s156)) | trans(s204, s157)) | trans(s204, s158)) | trans(s204, s159)) | trans(s204, s160)) | trans(s204, s161)) | trans(s204, s162)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161)) | trans(s204, s162))),
% 7.22/6.12 inference(monotonicity,[status(thm)],[25233])).
% 7.22/6.12 tff(25235,plain,
% 7.22/6.12 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) | trans(s204, s149)) | trans(s204, s150)) | trans(s204, s151)) | trans(s204, s152)) | trans(s204, s153)) | trans(s204, s154)) | trans(s204, s155)) | trans(s204, s156)) | trans(s204, s157)) | trans(s204, s158)) | trans(s204, s159)) | trans(s204, s160)) | trans(s204, s161)) | trans(s204, s162)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162))),
% 7.22/6.13 inference(transitivity,[status(thm)],[25234, 24752])).
% 7.22/6.13 tff(25236,plain,
% 7.22/6.13 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) | trans(s204, s149)) | trans(s204, s150)) | trans(s204, s151)) | trans(s204, s152)) | trans(s204, s153)) | trans(s204, s154)) | trans(s204, s155)) | trans(s204, s156)) | trans(s204, s157)) | trans(s204, s158)) | trans(s204, s159)) | trans(s204, s160)) | trans(s204, s161)) | trans(s204, s162)) | trans(s204, s163)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162)) | trans(s204, s163))),
% 7.22/6.13 inference(monotonicity,[status(thm)],[25235])).
% 7.22/6.13 tff(25237,plain,
% 7.22/6.13 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) | trans(s204, s149)) | trans(s204, s150)) | trans(s204, s151)) | trans(s204, s152)) | trans(s204, s153)) | trans(s204, s154)) | trans(s204, s155)) | trans(s204, s156)) | trans(s204, s157)) | trans(s204, s158)) | trans(s204, s159)) | trans(s204, s160)) | trans(s204, s161)) | trans(s204, s162)) | trans(s204, s163)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163))),
% 7.22/6.14 inference(transitivity,[status(thm)],[25236, 24751])).
% 7.22/6.14 tff(25238,plain,
% 7.22/6.14 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) | trans(s204, s149)) | trans(s204, s150)) | trans(s204, s151)) | trans(s204, s152)) | trans(s204, s153)) | trans(s204, s154)) | trans(s204, s155)) | trans(s204, s156)) | trans(s204, s157)) | trans(s204, s158)) | trans(s204, s159)) | trans(s204, s160)) | trans(s204, s161)) | trans(s204, s162)) | trans(s204, s163)) | trans(s204, s164)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163)) | trans(s204, s164))),
% 7.22/6.14 inference(monotonicity,[status(thm)],[25237])).
% 7.22/6.14 tff(25239,plain,
% 7.22/6.14 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) | trans(s204, s149)) | trans(s204, s150)) | trans(s204, s151)) | trans(s204, s152)) | trans(s204, s153)) | trans(s204, s154)) | trans(s204, s155)) | trans(s204, s156)) | trans(s204, s157)) | trans(s204, s158)) | trans(s204, s159)) | trans(s204, s160)) | trans(s204, s161)) | trans(s204, s162)) | trans(s204, s163)) | trans(s204, s164)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164))),
% 7.22/6.15 inference(transitivity,[status(thm)],[25238, 24750])).
% 7.22/6.15 tff(25240,plain,
% 7.22/6.15 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) | trans(s204, s149)) | trans(s204, s150)) | trans(s204, s151)) | trans(s204, s152)) | trans(s204, s153)) | trans(s204, s154)) | trans(s204, s155)) | trans(s204, s156)) | trans(s204, s157)) | trans(s204, s158)) | trans(s204, s159)) | trans(s204, s160)) | trans(s204, s161)) | trans(s204, s162)) | trans(s204, s163)) | trans(s204, s164)) | trans(s204, s165)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164)) | trans(s204, s165))),
% 7.22/6.15 inference(monotonicity,[status(thm)],[25239])).
% 7.22/6.15 tff(25241,plain,
% 7.22/6.15 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) | trans(s204, s149)) | trans(s204, s150)) | trans(s204, s151)) | trans(s204, s152)) | trans(s204, s153)) | trans(s204, s154)) | trans(s204, s155)) | trans(s204, s156)) | trans(s204, s157)) | trans(s204, s158)) | trans(s204, s159)) | trans(s204, s160)) | trans(s204, s161)) | trans(s204, s162)) | trans(s204, s163)) | trans(s204, s164)) | trans(s204, s165)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165))),
% 7.32/6.16 inference(transitivity,[status(thm)],[25240, 24749])).
% 7.32/6.16 tff(25242,plain,
% 7.32/6.16 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) | trans(s204, s149)) | trans(s204, s150)) | trans(s204, s151)) | trans(s204, s152)) | trans(s204, s153)) | trans(s204, s154)) | trans(s204, s155)) | trans(s204, s156)) | trans(s204, s157)) | trans(s204, s158)) | trans(s204, s159)) | trans(s204, s160)) | trans(s204, s161)) | trans(s204, s162)) | trans(s204, s163)) | trans(s204, s164)) | trans(s204, s165)) | trans(s204, s166)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165)) | trans(s204, s166))),
% 7.32/6.16 inference(monotonicity,[status(thm)],[25241])).
% 7.32/6.16 tff(25243,plain,
% 7.32/6.16 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) | trans(s204, s149)) | trans(s204, s150)) | trans(s204, s151)) | trans(s204, s152)) | trans(s204, s153)) | trans(s204, s154)) | trans(s204, s155)) | trans(s204, s156)) | trans(s204, s157)) | trans(s204, s158)) | trans(s204, s159)) | trans(s204, s160)) | trans(s204, s161)) | trans(s204, s162)) | trans(s204, s163)) | trans(s204, s164)) | trans(s204, s165)) | trans(s204, s166)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166))),
% 7.32/6.17 inference(transitivity,[status(thm)],[25242, 24748])).
% 7.32/6.17 tff(25244,plain,
% 7.32/6.17 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) | trans(s204, s149)) | trans(s204, s150)) | trans(s204, s151)) | trans(s204, s152)) | trans(s204, s153)) | trans(s204, s154)) | trans(s204, s155)) | trans(s204, s156)) | trans(s204, s157)) | trans(s204, s158)) | trans(s204, s159)) | trans(s204, s160)) | trans(s204, s161)) | trans(s204, s162)) | trans(s204, s163)) | trans(s204, s164)) | trans(s204, s165)) | trans(s204, s166)) | trans(s204, s167)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166)) | trans(s204, s167))),
% 7.32/6.17 inference(monotonicity,[status(thm)],[25243])).
% 7.32/6.17 tff(25245,plain,
% 7.32/6.17 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) | trans(s204, s149)) | trans(s204, s150)) | trans(s204, s151)) | trans(s204, s152)) | trans(s204, s153)) | trans(s204, s154)) | trans(s204, s155)) | trans(s204, s156)) | trans(s204, s157)) | trans(s204, s158)) | trans(s204, s159)) | trans(s204, s160)) | trans(s204, s161)) | trans(s204, s162)) | trans(s204, s163)) | trans(s204, s164)) | trans(s204, s165)) | trans(s204, s166)) | trans(s204, s167)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167))),
% 7.32/6.18 inference(transitivity,[status(thm)],[25244, 24747])).
% 7.32/6.18 tff(25246,plain,
% 7.32/6.18 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) | trans(s204, s149)) | trans(s204, s150)) | trans(s204, s151)) | trans(s204, s152)) | trans(s204, s153)) | trans(s204, s154)) | trans(s204, s155)) | trans(s204, s156)) | trans(s204, s157)) | trans(s204, s158)) | trans(s204, s159)) | trans(s204, s160)) | trans(s204, s161)) | trans(s204, s162)) | trans(s204, s163)) | trans(s204, s164)) | trans(s204, s165)) | trans(s204, s166)) | trans(s204, s167)) | trans(s204, s168)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167)) | trans(s204, s168))),
% 7.32/6.18 inference(monotonicity,[status(thm)],[25245])).
% 7.32/6.18 tff(25247,plain,
% 7.32/6.18 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) | trans(s204, s149)) | trans(s204, s150)) | trans(s204, s151)) | trans(s204, s152)) | trans(s204, s153)) | trans(s204, s154)) | trans(s204, s155)) | trans(s204, s156)) | trans(s204, s157)) | trans(s204, s158)) | trans(s204, s159)) | trans(s204, s160)) | trans(s204, s161)) | trans(s204, s162)) | trans(s204, s163)) | trans(s204, s164)) | trans(s204, s165)) | trans(s204, s166)) | trans(s204, s167)) | trans(s204, s168)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168))),
% 7.32/6.19 inference(transitivity,[status(thm)],[25246, 24746])).
% 7.32/6.19 tff(25248,plain,
% 7.32/6.19 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) | trans(s204, s149)) | trans(s204, s150)) | trans(s204, s151)) | trans(s204, s152)) | trans(s204, s153)) | trans(s204, s154)) | trans(s204, s155)) | trans(s204, s156)) | trans(s204, s157)) | trans(s204, s158)) | trans(s204, s159)) | trans(s204, s160)) | trans(s204, s161)) | trans(s204, s162)) | trans(s204, s163)) | trans(s204, s164)) | trans(s204, s165)) | trans(s204, s166)) | trans(s204, s167)) | trans(s204, s168)) | trans(s204, s169)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168)) | trans(s204, s169))),
% 7.36/6.20 inference(monotonicity,[status(thm)],[25247])).
% 7.36/6.20 tff(25249,plain,
% 7.36/6.20 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) | trans(s204, s149)) | trans(s204, s150)) | trans(s204, s151)) | trans(s204, s152)) | trans(s204, s153)) | trans(s204, s154)) | trans(s204, s155)) | trans(s204, s156)) | trans(s204, s157)) | trans(s204, s158)) | trans(s204, s159)) | trans(s204, s160)) | trans(s204, s161)) | trans(s204, s162)) | trans(s204, s163)) | trans(s204, s164)) | trans(s204, s165)) | trans(s204, s166)) | trans(s204, s167)) | trans(s204, s168)) | trans(s204, s169)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169))),
% 7.36/6.20 inference(transitivity,[status(thm)],[25248, 24745])).
% 7.36/6.20 tff(25250,plain,
% 7.36/6.20 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) | trans(s204, s149)) | trans(s204, s150)) | trans(s204, s151)) | trans(s204, s152)) | trans(s204, s153)) | trans(s204, s154)) | trans(s204, s155)) | trans(s204, s156)) | trans(s204, s157)) | trans(s204, s158)) | trans(s204, s159)) | trans(s204, s160)) | trans(s204, s161)) | trans(s204, s162)) | trans(s204, s163)) | trans(s204, s164)) | trans(s204, s165)) | trans(s204, s166)) | trans(s204, s167)) | trans(s204, s168)) | trans(s204, s169)) | trans(s204, s170)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169)) | trans(s204, s170))),
% 7.36/6.20 inference(monotonicity,[status(thm)],[25249])).
% 7.36/6.20 tff(25251,plain,
% 7.36/6.20 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) | trans(s204, s149)) | trans(s204, s150)) | trans(s204, s151)) | trans(s204, s152)) | trans(s204, s153)) | trans(s204, s154)) | trans(s204, s155)) | trans(s204, s156)) | trans(s204, s157)) | trans(s204, s158)) | trans(s204, s159)) | trans(s204, s160)) | trans(s204, s161)) | trans(s204, s162)) | trans(s204, s163)) | trans(s204, s164)) | trans(s204, s165)) | trans(s204, s166)) | trans(s204, s167)) | trans(s204, s168)) | trans(s204, s169)) | trans(s204, s170)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170))),
% 7.36/6.21 inference(transitivity,[status(thm)],[25250, 24744])).
% 7.36/6.21 tff(25252,plain,
% 7.36/6.21 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) | trans(s204, s149)) | trans(s204, s150)) | trans(s204, s151)) | trans(s204, s152)) | trans(s204, s153)) | trans(s204, s154)) | trans(s204, s155)) | trans(s204, s156)) | trans(s204, s157)) | trans(s204, s158)) | trans(s204, s159)) | trans(s204, s160)) | trans(s204, s161)) | trans(s204, s162)) | trans(s204, s163)) | trans(s204, s164)) | trans(s204, s165)) | trans(s204, s166)) | trans(s204, s167)) | trans(s204, s168)) | trans(s204, s169)) | trans(s204, s170)) | trans(s204, s171)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170)) | trans(s204, s171))),
% 7.36/6.22 inference(monotonicity,[status(thm)],[25251])).
% 7.36/6.22 tff(25253,plain,
% 7.36/6.22 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) | trans(s204, s149)) | trans(s204, s150)) | trans(s204, s151)) | trans(s204, s152)) | trans(s204, s153)) | trans(s204, s154)) | trans(s204, s155)) | trans(s204, s156)) | trans(s204, s157)) | trans(s204, s158)) | trans(s204, s159)) | trans(s204, s160)) | trans(s204, s161)) | trans(s204, s162)) | trans(s204, s163)) | trans(s204, s164)) | trans(s204, s165)) | trans(s204, s166)) | trans(s204, s167)) | trans(s204, s168)) | trans(s204, s169)) | trans(s204, s170)) | trans(s204, s171)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171))),
% 7.36/6.22 inference(transitivity,[status(thm)],[25252, 24743])).
% 7.36/6.22 tff(25254,plain,
% 7.36/6.22 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) | trans(s204, s149)) | trans(s204, s150)) | trans(s204, s151)) | trans(s204, s152)) | trans(s204, s153)) | trans(s204, s154)) | trans(s204, s155)) | trans(s204, s156)) | trans(s204, s157)) | trans(s204, s158)) | trans(s204, s159)) | trans(s204, s160)) | trans(s204, s161)) | trans(s204, s162)) | trans(s204, s163)) | trans(s204, s164)) | trans(s204, s165)) | trans(s204, s166)) | trans(s204, s167)) | trans(s204, s168)) | trans(s204, s169)) | trans(s204, s170)) | trans(s204, s171)) | trans(s204, s172)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171)) | trans(s204, s172))),
% 7.36/6.23 inference(monotonicity,[status(thm)],[25253])).
% 7.36/6.23 tff(25255,plain,
% 7.36/6.23 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) | trans(s204, s149)) | trans(s204, s150)) | trans(s204, s151)) | trans(s204, s152)) | trans(s204, s153)) | trans(s204, s154)) | trans(s204, s155)) | trans(s204, s156)) | trans(s204, s157)) | trans(s204, s158)) | trans(s204, s159)) | trans(s204, s160)) | trans(s204, s161)) | trans(s204, s162)) | trans(s204, s163)) | trans(s204, s164)) | trans(s204, s165)) | trans(s204, s166)) | trans(s204, s167)) | trans(s204, s168)) | trans(s204, s169)) | trans(s204, s170)) | trans(s204, s171)) | trans(s204, s172)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172))),
% 7.36/6.23 inference(transitivity,[status(thm)],[25254, 24742])).
% 7.36/6.23 tff(25256,plain,
% 7.36/6.23 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) | trans(s204, s149)) | trans(s204, s150)) | trans(s204, s151)) | trans(s204, s152)) | trans(s204, s153)) | trans(s204, s154)) | trans(s204, s155)) | trans(s204, s156)) | trans(s204, s157)) | trans(s204, s158)) | trans(s204, s159)) | trans(s204, s160)) | trans(s204, s161)) | trans(s204, s162)) | trans(s204, s163)) | trans(s204, s164)) | trans(s204, s165)) | trans(s204, s166)) | trans(s204, s167)) | trans(s204, s168)) | trans(s204, s169)) | trans(s204, s170)) | trans(s204, s171)) | trans(s204, s172)) | trans(s204, s173)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172)) | trans(s204, s173))),
% 7.40/6.24 inference(monotonicity,[status(thm)],[25255])).
% 7.40/6.24 tff(25257,plain,
% 7.40/6.24 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) | trans(s204, s149)) | trans(s204, s150)) | trans(s204, s151)) | trans(s204, s152)) | trans(s204, s153)) | trans(s204, s154)) | trans(s204, s155)) | trans(s204, s156)) | trans(s204, s157)) | trans(s204, s158)) | trans(s204, s159)) | trans(s204, s160)) | trans(s204, s161)) | trans(s204, s162)) | trans(s204, s163)) | trans(s204, s164)) | trans(s204, s165)) | trans(s204, s166)) | trans(s204, s167)) | trans(s204, s168)) | trans(s204, s169)) | trans(s204, s170)) | trans(s204, s171)) | trans(s204, s172)) | trans(s204, s173)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173))),
% 7.40/6.24 inference(transitivity,[status(thm)],[25256, 24741])).
% 7.40/6.24 tff(25258,plain,
% 7.40/6.24 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) | trans(s204, s149)) | trans(s204, s150)) | trans(s204, s151)) | trans(s204, s152)) | trans(s204, s153)) | trans(s204, s154)) | trans(s204, s155)) | trans(s204, s156)) | trans(s204, s157)) | trans(s204, s158)) | trans(s204, s159)) | trans(s204, s160)) | trans(s204, s161)) | trans(s204, s162)) | trans(s204, s163)) | trans(s204, s164)) | trans(s204, s165)) | trans(s204, s166)) | trans(s204, s167)) | trans(s204, s168)) | trans(s204, s169)) | trans(s204, s170)) | trans(s204, s171)) | trans(s204, s172)) | trans(s204, s173)) | trans(s204, s174)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173)) | trans(s204, s174))),
% 7.40/6.25 inference(monotonicity,[status(thm)],[25257])).
% 7.40/6.25 tff(25259,plain,
% 7.40/6.25 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) | trans(s204, s149)) | trans(s204, s150)) | trans(s204, s151)) | trans(s204, s152)) | trans(s204, s153)) | trans(s204, s154)) | trans(s204, s155)) | trans(s204, s156)) | trans(s204, s157)) | trans(s204, s158)) | trans(s204, s159)) | trans(s204, s160)) | trans(s204, s161)) | trans(s204, s162)) | trans(s204, s163)) | trans(s204, s164)) | trans(s204, s165)) | trans(s204, s166)) | trans(s204, s167)) | trans(s204, s168)) | trans(s204, s169)) | trans(s204, s170)) | trans(s204, s171)) | trans(s204, s172)) | trans(s204, s173)) | trans(s204, s174)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174))),
% 7.40/6.26 inference(transitivity,[status(thm)],[25258, 24740])).
% 7.40/6.26 tff(25260,plain,
% 7.40/6.26 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) | trans(s204, s149)) | trans(s204, s150)) | trans(s204, s151)) | trans(s204, s152)) | trans(s204, s153)) | trans(s204, s154)) | trans(s204, s155)) | trans(s204, s156)) | trans(s204, s157)) | trans(s204, s158)) | trans(s204, s159)) | trans(s204, s160)) | trans(s204, s161)) | trans(s204, s162)) | trans(s204, s163)) | trans(s204, s164)) | trans(s204, s165)) | trans(s204, s166)) | trans(s204, s167)) | trans(s204, s168)) | trans(s204, s169)) | trans(s204, s170)) | trans(s204, s171)) | trans(s204, s172)) | trans(s204, s173)) | trans(s204, s174)) | trans(s204, s175)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174)) | trans(s204, s175))),
% 7.40/6.26 inference(monotonicity,[status(thm)],[25259])).
% 7.40/6.26 tff(25261,plain,
% 7.40/6.26 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) | trans(s204, s149)) | trans(s204, s150)) | trans(s204, s151)) | trans(s204, s152)) | trans(s204, s153)) | trans(s204, s154)) | trans(s204, s155)) | trans(s204, s156)) | trans(s204, s157)) | trans(s204, s158)) | trans(s204, s159)) | trans(s204, s160)) | trans(s204, s161)) | trans(s204, s162)) | trans(s204, s163)) | trans(s204, s164)) | trans(s204, s165)) | trans(s204, s166)) | trans(s204, s167)) | trans(s204, s168)) | trans(s204, s169)) | trans(s204, s170)) | trans(s204, s171)) | trans(s204, s172)) | trans(s204, s173)) | trans(s204, s174)) | trans(s204, s175)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175))),
% 7.40/6.27 inference(transitivity,[status(thm)],[25260, 24739])).
% 7.40/6.27 tff(25262,plain,
% 7.40/6.27 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) | trans(s204, s149)) | trans(s204, s150)) | trans(s204, s151)) | trans(s204, s152)) | trans(s204, s153)) | trans(s204, s154)) | trans(s204, s155)) | trans(s204, s156)) | trans(s204, s157)) | trans(s204, s158)) | trans(s204, s159)) | trans(s204, s160)) | trans(s204, s161)) | trans(s204, s162)) | trans(s204, s163)) | trans(s204, s164)) | trans(s204, s165)) | trans(s204, s166)) | trans(s204, s167)) | trans(s204, s168)) | trans(s204, s169)) | trans(s204, s170)) | trans(s204, s171)) | trans(s204, s172)) | trans(s204, s173)) | trans(s204, s174)) | trans(s204, s175)) | trans(s204, s176)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175)) | trans(s204, s176))),
% 7.40/6.27 inference(monotonicity,[status(thm)],[25261])).
% 7.40/6.27 tff(25263,plain,
% 7.40/6.27 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) | trans(s204, s149)) | trans(s204, s150)) | trans(s204, s151)) | trans(s204, s152)) | trans(s204, s153)) | trans(s204, s154)) | trans(s204, s155)) | trans(s204, s156)) | trans(s204, s157)) | trans(s204, s158)) | trans(s204, s159)) | trans(s204, s160)) | trans(s204, s161)) | trans(s204, s162)) | trans(s204, s163)) | trans(s204, s164)) | trans(s204, s165)) | trans(s204, s166)) | trans(s204, s167)) | trans(s204, s168)) | trans(s204, s169)) | trans(s204, s170)) | trans(s204, s171)) | trans(s204, s172)) | trans(s204, s173)) | trans(s204, s174)) | trans(s204, s175)) | trans(s204, s176)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176))),
% 7.40/6.28 inference(transitivity,[status(thm)],[25262, 24738])).
% 7.40/6.28 tff(25264,plain,
% 7.40/6.28 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) | trans(s204, s149)) | trans(s204, s150)) | trans(s204, s151)) | trans(s204, s152)) | trans(s204, s153)) | trans(s204, s154)) | trans(s204, s155)) | trans(s204, s156)) | trans(s204, s157)) | trans(s204, s158)) | trans(s204, s159)) | trans(s204, s160)) | trans(s204, s161)) | trans(s204, s162)) | trans(s204, s163)) | trans(s204, s164)) | trans(s204, s165)) | trans(s204, s166)) | trans(s204, s167)) | trans(s204, s168)) | trans(s204, s169)) | trans(s204, s170)) | trans(s204, s171)) | trans(s204, s172)) | trans(s204, s173)) | trans(s204, s174)) | trans(s204, s175)) | trans(s204, s176)) | trans(s204, s177)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176)) | trans(s204, s177))),
% 7.40/6.28 inference(monotonicity,[status(thm)],[25263])).
% 7.40/6.28 tff(25265,plain,
% 7.40/6.28 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) | trans(s204, s149)) | trans(s204, s150)) | trans(s204, s151)) | trans(s204, s152)) | trans(s204, s153)) | trans(s204, s154)) | trans(s204, s155)) | trans(s204, s156)) | trans(s204, s157)) | trans(s204, s158)) | trans(s204, s159)) | trans(s204, s160)) | trans(s204, s161)) | trans(s204, s162)) | trans(s204, s163)) | trans(s204, s164)) | trans(s204, s165)) | trans(s204, s166)) | trans(s204, s167)) | trans(s204, s168)) | trans(s204, s169)) | trans(s204, s170)) | trans(s204, s171)) | trans(s204, s172)) | trans(s204, s173)) | trans(s204, s174)) | trans(s204, s175)) | trans(s204, s176)) | trans(s204, s177)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177))),
% 7.40/6.29 inference(transitivity,[status(thm)],[25264, 24737])).
% 7.40/6.29 tff(25266,plain,
% 7.40/6.29 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) | trans(s204, s149)) | trans(s204, s150)) | trans(s204, s151)) | trans(s204, s152)) | trans(s204, s153)) | trans(s204, s154)) | trans(s204, s155)) | trans(s204, s156)) | trans(s204, s157)) | trans(s204, s158)) | trans(s204, s159)) | trans(s204, s160)) | trans(s204, s161)) | trans(s204, s162)) | trans(s204, s163)) | trans(s204, s164)) | trans(s204, s165)) | trans(s204, s166)) | trans(s204, s167)) | trans(s204, s168)) | trans(s204, s169)) | trans(s204, s170)) | trans(s204, s171)) | trans(s204, s172)) | trans(s204, s173)) | trans(s204, s174)) | trans(s204, s175)) | trans(s204, s176)) | trans(s204, s177)) | trans(s204, s178)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177)) | trans(s204, s178))),
% 7.40/6.30 inference(monotonicity,[status(thm)],[25265])).
% 7.40/6.30 tff(25267,plain,
% 7.40/6.30 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) | trans(s204, s149)) | trans(s204, s150)) | trans(s204, s151)) | trans(s204, s152)) | trans(s204, s153)) | trans(s204, s154)) | trans(s204, s155)) | trans(s204, s156)) | trans(s204, s157)) | trans(s204, s158)) | trans(s204, s159)) | trans(s204, s160)) | trans(s204, s161)) | trans(s204, s162)) | trans(s204, s163)) | trans(s204, s164)) | trans(s204, s165)) | trans(s204, s166)) | trans(s204, s167)) | trans(s204, s168)) | trans(s204, s169)) | trans(s204, s170)) | trans(s204, s171)) | trans(s204, s172)) | trans(s204, s173)) | trans(s204, s174)) | trans(s204, s175)) | trans(s204, s176)) | trans(s204, s177)) | trans(s204, s178)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178))),
% 7.46/6.30 inference(transitivity,[status(thm)],[25266, 24736])).
% 7.46/6.30 tff(25268,plain,
% 7.46/6.30 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) | trans(s204, s149)) | trans(s204, s150)) | trans(s204, s151)) | trans(s204, s152)) | trans(s204, s153)) | trans(s204, s154)) | trans(s204, s155)) | trans(s204, s156)) | trans(s204, s157)) | trans(s204, s158)) | trans(s204, s159)) | trans(s204, s160)) | trans(s204, s161)) | trans(s204, s162)) | trans(s204, s163)) | trans(s204, s164)) | trans(s204, s165)) | trans(s204, s166)) | trans(s204, s167)) | trans(s204, s168)) | trans(s204, s169)) | trans(s204, s170)) | trans(s204, s171)) | trans(s204, s172)) | trans(s204, s173)) | trans(s204, s174)) | trans(s204, s175)) | trans(s204, s176)) | trans(s204, s177)) | trans(s204, s178)) | trans(s204, s179)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178)) | trans(s204, s179))),
% 7.46/6.31 inference(monotonicity,[status(thm)],[25267])).
% 7.46/6.31 tff(25269,plain,
% 7.46/6.31 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) | trans(s204, s149)) | trans(s204, s150)) | trans(s204, s151)) | trans(s204, s152)) | trans(s204, s153)) | trans(s204, s154)) | trans(s204, s155)) | trans(s204, s156)) | trans(s204, s157)) | trans(s204, s158)) | trans(s204, s159)) | trans(s204, s160)) | trans(s204, s161)) | trans(s204, s162)) | trans(s204, s163)) | trans(s204, s164)) | trans(s204, s165)) | trans(s204, s166)) | trans(s204, s167)) | trans(s204, s168)) | trans(s204, s169)) | trans(s204, s170)) | trans(s204, s171)) | trans(s204, s172)) | trans(s204, s173)) | trans(s204, s174)) | trans(s204, s175)) | trans(s204, s176)) | trans(s204, s177)) | trans(s204, s178)) | trans(s204, s179)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179))),
% 7.46/6.31 inference(transitivity,[status(thm)],[25268, 24735])).
% 7.46/6.31 tff(25270,plain,
% 7.46/6.31 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) | trans(s204, s149)) | trans(s204, s150)) | trans(s204, s151)) | trans(s204, s152)) | trans(s204, s153)) | trans(s204, s154)) | trans(s204, s155)) | trans(s204, s156)) | trans(s204, s157)) | trans(s204, s158)) | trans(s204, s159)) | trans(s204, s160)) | trans(s204, s161)) | trans(s204, s162)) | trans(s204, s163)) | trans(s204, s164)) | trans(s204, s165)) | trans(s204, s166)) | trans(s204, s167)) | trans(s204, s168)) | trans(s204, s169)) | trans(s204, s170)) | trans(s204, s171)) | trans(s204, s172)) | trans(s204, s173)) | trans(s204, s174)) | trans(s204, s175)) | trans(s204, s176)) | trans(s204, s177)) | trans(s204, s178)) | trans(s204, s179)) | trans(s204, s180)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179)) | trans(s204, s180))),
% 7.46/6.32 inference(monotonicity,[status(thm)],[25269])).
% 7.46/6.32 tff(25271,plain,
% 7.46/6.32 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) | trans(s204, s149)) | trans(s204, s150)) | trans(s204, s151)) | trans(s204, s152)) | trans(s204, s153)) | trans(s204, s154)) | trans(s204, s155)) | trans(s204, s156)) | trans(s204, s157)) | trans(s204, s158)) | trans(s204, s159)) | trans(s204, s160)) | trans(s204, s161)) | trans(s204, s162)) | trans(s204, s163)) | trans(s204, s164)) | trans(s204, s165)) | trans(s204, s166)) | trans(s204, s167)) | trans(s204, s168)) | trans(s204, s169)) | trans(s204, s170)) | trans(s204, s171)) | trans(s204, s172)) | trans(s204, s173)) | trans(s204, s174)) | trans(s204, s175)) | trans(s204, s176)) | trans(s204, s177)) | trans(s204, s178)) | trans(s204, s179)) | trans(s204, s180)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179) | trans(s204, s180))),
% 7.46/6.32 inference(transitivity,[status(thm)],[25270, 24734])).
% 7.46/6.32 tff(25272,plain,
% 7.46/6.32 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) | trans(s204, s149)) | trans(s204, s150)) | trans(s204, s151)) | trans(s204, s152)) | trans(s204, s153)) | trans(s204, s154)) | trans(s204, s155)) | trans(s204, s156)) | trans(s204, s157)) | trans(s204, s158)) | trans(s204, s159)) | trans(s204, s160)) | trans(s204, s161)) | trans(s204, s162)) | trans(s204, s163)) | trans(s204, s164)) | trans(s204, s165)) | trans(s204, s166)) | trans(s204, s167)) | trans(s204, s168)) | trans(s204, s169)) | trans(s204, s170)) | trans(s204, s171)) | trans(s204, s172)) | trans(s204, s173)) | trans(s204, s174)) | trans(s204, s175)) | trans(s204, s176)) | trans(s204, s177)) | trans(s204, s178)) | trans(s204, s179)) | trans(s204, s180)) | trans(s204, s181)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179) | trans(s204, s180)) | trans(s204, s181))),
% 7.46/6.33 inference(monotonicity,[status(thm)],[25271])).
% 7.46/6.33 tff(25273,plain,
% 7.46/6.33 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) | trans(s204, s149)) | trans(s204, s150)) | trans(s204, s151)) | trans(s204, s152)) | trans(s204, s153)) | trans(s204, s154)) | trans(s204, s155)) | trans(s204, s156)) | trans(s204, s157)) | trans(s204, s158)) | trans(s204, s159)) | trans(s204, s160)) | trans(s204, s161)) | trans(s204, s162)) | trans(s204, s163)) | trans(s204, s164)) | trans(s204, s165)) | trans(s204, s166)) | trans(s204, s167)) | trans(s204, s168)) | trans(s204, s169)) | trans(s204, s170)) | trans(s204, s171)) | trans(s204, s172)) | trans(s204, s173)) | trans(s204, s174)) | trans(s204, s175)) | trans(s204, s176)) | trans(s204, s177)) | trans(s204, s178)) | trans(s204, s179)) | trans(s204, s180)) | trans(s204, s181)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179) | trans(s204, s180) | trans(s204, s181))),
% 7.46/6.33 inference(transitivity,[status(thm)],[25272, 24733])).
% 7.46/6.33 tff(25274,plain,
% 7.46/6.33 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) | trans(s204, s149)) | trans(s204, s150)) | trans(s204, s151)) | trans(s204, s152)) | trans(s204, s153)) | trans(s204, s154)) | trans(s204, s155)) | trans(s204, s156)) | trans(s204, s157)) | trans(s204, s158)) | trans(s204, s159)) | trans(s204, s160)) | trans(s204, s161)) | trans(s204, s162)) | trans(s204, s163)) | trans(s204, s164)) | trans(s204, s165)) | trans(s204, s166)) | trans(s204, s167)) | trans(s204, s168)) | trans(s204, s169)) | trans(s204, s170)) | trans(s204, s171)) | trans(s204, s172)) | trans(s204, s173)) | trans(s204, s174)) | trans(s204, s175)) | trans(s204, s176)) | trans(s204, s177)) | trans(s204, s178)) | trans(s204, s179)) | trans(s204, s180)) | trans(s204, s181)) | trans(s204, s182)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179) | trans(s204, s180) | trans(s204, s181)) | trans(s204, s182))),
% 7.46/6.34 inference(monotonicity,[status(thm)],[25273])).
% 7.46/6.34 tff(25275,plain,
% 7.46/6.34 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) | trans(s204, s149)) | trans(s204, s150)) | trans(s204, s151)) | trans(s204, s152)) | trans(s204, s153)) | trans(s204, s154)) | trans(s204, s155)) | trans(s204, s156)) | trans(s204, s157)) | trans(s204, s158)) | trans(s204, s159)) | trans(s204, s160)) | trans(s204, s161)) | trans(s204, s162)) | trans(s204, s163)) | trans(s204, s164)) | trans(s204, s165)) | trans(s204, s166)) | trans(s204, s167)) | trans(s204, s168)) | trans(s204, s169)) | trans(s204, s170)) | trans(s204, s171)) | trans(s204, s172)) | trans(s204, s173)) | trans(s204, s174)) | trans(s204, s175)) | trans(s204, s176)) | trans(s204, s177)) | trans(s204, s178)) | trans(s204, s179)) | trans(s204, s180)) | trans(s204, s181)) | trans(s204, s182)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179) | trans(s204, s180) | trans(s204, s181) | trans(s204, s182))),
% 7.46/6.35 inference(transitivity,[status(thm)],[25274, 24732])).
% 7.46/6.35 tff(25276,plain,
% 7.46/6.35 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) | trans(s204, s149)) | trans(s204, s150)) | trans(s204, s151)) | trans(s204, s152)) | trans(s204, s153)) | trans(s204, s154)) | trans(s204, s155)) | trans(s204, s156)) | trans(s204, s157)) | trans(s204, s158)) | trans(s204, s159)) | trans(s204, s160)) | trans(s204, s161)) | trans(s204, s162)) | trans(s204, s163)) | trans(s204, s164)) | trans(s204, s165)) | trans(s204, s166)) | trans(s204, s167)) | trans(s204, s168)) | trans(s204, s169)) | trans(s204, s170)) | trans(s204, s171)) | trans(s204, s172)) | trans(s204, s173)) | trans(s204, s174)) | trans(s204, s175)) | trans(s204, s176)) | trans(s204, s177)) | trans(s204, s178)) | trans(s204, s179)) | trans(s204, s180)) | trans(s204, s181)) | trans(s204, s182)) | trans(s204, s183)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179) | trans(s204, s180) | trans(s204, s181) | trans(s204, s182)) | trans(s204, s183))),
% 7.46/6.35 inference(monotonicity,[status(thm)],[25275])).
% 7.46/6.35 tff(25277,plain,
% 7.46/6.35 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) | trans(s204, s149)) | trans(s204, s150)) | trans(s204, s151)) | trans(s204, s152)) | trans(s204, s153)) | trans(s204, s154)) | trans(s204, s155)) | trans(s204, s156)) | trans(s204, s157)) | trans(s204, s158)) | trans(s204, s159)) | trans(s204, s160)) | trans(s204, s161)) | trans(s204, s162)) | trans(s204, s163)) | trans(s204, s164)) | trans(s204, s165)) | trans(s204, s166)) | trans(s204, s167)) | trans(s204, s168)) | trans(s204, s169)) | trans(s204, s170)) | trans(s204, s171)) | trans(s204, s172)) | trans(s204, s173)) | trans(s204, s174)) | trans(s204, s175)) | trans(s204, s176)) | trans(s204, s177)) | trans(s204, s178)) | trans(s204, s179)) | trans(s204, s180)) | trans(s204, s181)) | trans(s204, s182)) | trans(s204, s183)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179) | trans(s204, s180) | trans(s204, s181) | trans(s204, s182) | trans(s204, s183))),
% 7.52/6.36 inference(transitivity,[status(thm)],[25276, 24731])).
% 7.52/6.36 tff(25278,plain,
% 7.52/6.36 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) | trans(s204, s149)) | trans(s204, s150)) | trans(s204, s151)) | trans(s204, s152)) | trans(s204, s153)) | trans(s204, s154)) | trans(s204, s155)) | trans(s204, s156)) | trans(s204, s157)) | trans(s204, s158)) | trans(s204, s159)) | trans(s204, s160)) | trans(s204, s161)) | trans(s204, s162)) | trans(s204, s163)) | trans(s204, s164)) | trans(s204, s165)) | trans(s204, s166)) | trans(s204, s167)) | trans(s204, s168)) | trans(s204, s169)) | trans(s204, s170)) | trans(s204, s171)) | trans(s204, s172)) | trans(s204, s173)) | trans(s204, s174)) | trans(s204, s175)) | trans(s204, s176)) | trans(s204, s177)) | trans(s204, s178)) | trans(s204, s179)) | trans(s204, s180)) | trans(s204, s181)) | trans(s204, s182)) | trans(s204, s183)) | trans(s204, s184)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179) | trans(s204, s180) | trans(s204, s181) | trans(s204, s182) | trans(s204, s183)) | trans(s204, s184))),
% 7.52/6.36 inference(monotonicity,[status(thm)],[25277])).
% 7.52/6.36 tff(25279,plain,
% 7.52/6.36 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) | trans(s204, s149)) | trans(s204, s150)) | trans(s204, s151)) | trans(s204, s152)) | trans(s204, s153)) | trans(s204, s154)) | trans(s204, s155)) | trans(s204, s156)) | trans(s204, s157)) | trans(s204, s158)) | trans(s204, s159)) | trans(s204, s160)) | trans(s204, s161)) | trans(s204, s162)) | trans(s204, s163)) | trans(s204, s164)) | trans(s204, s165)) | trans(s204, s166)) | trans(s204, s167)) | trans(s204, s168)) | trans(s204, s169)) | trans(s204, s170)) | trans(s204, s171)) | trans(s204, s172)) | trans(s204, s173)) | trans(s204, s174)) | trans(s204, s175)) | trans(s204, s176)) | trans(s204, s177)) | trans(s204, s178)) | trans(s204, s179)) | trans(s204, s180)) | trans(s204, s181)) | trans(s204, s182)) | trans(s204, s183)) | trans(s204, s184)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179) | trans(s204, s180) | trans(s204, s181) | trans(s204, s182) | trans(s204, s183) | trans(s204, s184))),
% 7.52/6.37 inference(transitivity,[status(thm)],[25278, 24730])).
% 7.52/6.37 tff(25280,plain,
% 7.52/6.37 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) | trans(s204, s149)) | trans(s204, s150)) | trans(s204, s151)) | trans(s204, s152)) | trans(s204, s153)) | trans(s204, s154)) | trans(s204, s155)) | trans(s204, s156)) | trans(s204, s157)) | trans(s204, s158)) | trans(s204, s159)) | trans(s204, s160)) | trans(s204, s161)) | trans(s204, s162)) | trans(s204, s163)) | trans(s204, s164)) | trans(s204, s165)) | trans(s204, s166)) | trans(s204, s167)) | trans(s204, s168)) | trans(s204, s169)) | trans(s204, s170)) | trans(s204, s171)) | trans(s204, s172)) | trans(s204, s173)) | trans(s204, s174)) | trans(s204, s175)) | trans(s204, s176)) | trans(s204, s177)) | trans(s204, s178)) | trans(s204, s179)) | trans(s204, s180)) | trans(s204, s181)) | trans(s204, s182)) | trans(s204, s183)) | trans(s204, s184)) | trans(s204, s185)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179) | trans(s204, s180) | trans(s204, s181) | trans(s204, s182) | trans(s204, s183) | trans(s204, s184)) | trans(s204, s185))),
% 7.52/6.37 inference(monotonicity,[status(thm)],[25279])).
% 7.52/6.37 tff(25281,plain,
% 7.52/6.37 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) | trans(s204, s149)) | trans(s204, s150)) | trans(s204, s151)) | trans(s204, s152)) | trans(s204, s153)) | trans(s204, s154)) | trans(s204, s155)) | trans(s204, s156)) | trans(s204, s157)) | trans(s204, s158)) | trans(s204, s159)) | trans(s204, s160)) | trans(s204, s161)) | trans(s204, s162)) | trans(s204, s163)) | trans(s204, s164)) | trans(s204, s165)) | trans(s204, s166)) | trans(s204, s167)) | trans(s204, s168)) | trans(s204, s169)) | trans(s204, s170)) | trans(s204, s171)) | trans(s204, s172)) | trans(s204, s173)) | trans(s204, s174)) | trans(s204, s175)) | trans(s204, s176)) | trans(s204, s177)) | trans(s204, s178)) | trans(s204, s179)) | trans(s204, s180)) | trans(s204, s181)) | trans(s204, s182)) | trans(s204, s183)) | trans(s204, s184)) | trans(s204, s185)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179) | trans(s204, s180) | trans(s204, s181) | trans(s204, s182) | trans(s204, s183) | trans(s204, s184) | trans(s204, s185))),
% 7.52/6.38 inference(transitivity,[status(thm)],[25280, 24729])).
% 7.52/6.38 tff(25282,plain,
% 7.52/6.38 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) | trans(s204, s149)) | trans(s204, s150)) | trans(s204, s151)) | trans(s204, s152)) | trans(s204, s153)) | trans(s204, s154)) | trans(s204, s155)) | trans(s204, s156)) | trans(s204, s157)) | trans(s204, s158)) | trans(s204, s159)) | trans(s204, s160)) | trans(s204, s161)) | trans(s204, s162)) | trans(s204, s163)) | trans(s204, s164)) | trans(s204, s165)) | trans(s204, s166)) | trans(s204, s167)) | trans(s204, s168)) | trans(s204, s169)) | trans(s204, s170)) | trans(s204, s171)) | trans(s204, s172)) | trans(s204, s173)) | trans(s204, s174)) | trans(s204, s175)) | trans(s204, s176)) | trans(s204, s177)) | trans(s204, s178)) | trans(s204, s179)) | trans(s204, s180)) | trans(s204, s181)) | trans(s204, s182)) | trans(s204, s183)) | trans(s204, s184)) | trans(s204, s185)) | trans(s204, s186)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179) | trans(s204, s180) | trans(s204, s181) | trans(s204, s182) | trans(s204, s183) | trans(s204, s184) | trans(s204, s185)) | trans(s204, s186))),
% 7.52/6.39 inference(monotonicity,[status(thm)],[25281])).
% 7.52/6.39 tff(25283,plain,
% 7.52/6.39 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) | trans(s204, s149)) | trans(s204, s150)) | trans(s204, s151)) | trans(s204, s152)) | trans(s204, s153)) | trans(s204, s154)) | trans(s204, s155)) | trans(s204, s156)) | trans(s204, s157)) | trans(s204, s158)) | trans(s204, s159)) | trans(s204, s160)) | trans(s204, s161)) | trans(s204, s162)) | trans(s204, s163)) | trans(s204, s164)) | trans(s204, s165)) | trans(s204, s166)) | trans(s204, s167)) | trans(s204, s168)) | trans(s204, s169)) | trans(s204, s170)) | trans(s204, s171)) | trans(s204, s172)) | trans(s204, s173)) | trans(s204, s174)) | trans(s204, s175)) | trans(s204, s176)) | trans(s204, s177)) | trans(s204, s178)) | trans(s204, s179)) | trans(s204, s180)) | trans(s204, s181)) | trans(s204, s182)) | trans(s204, s183)) | trans(s204, s184)) | trans(s204, s185)) | trans(s204, s186)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179) | trans(s204, s180) | trans(s204, s181) | trans(s204, s182) | trans(s204, s183) | trans(s204, s184) | trans(s204, s185) | trans(s204, s186))),
% 7.52/6.39 inference(transitivity,[status(thm)],[25282, 24728])).
% 7.52/6.39 tff(25284,plain,
% 7.52/6.39 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) | trans(s204, s149)) | trans(s204, s150)) | trans(s204, s151)) | trans(s204, s152)) | trans(s204, s153)) | trans(s204, s154)) | trans(s204, s155)) | trans(s204, s156)) | trans(s204, s157)) | trans(s204, s158)) | trans(s204, s159)) | trans(s204, s160)) | trans(s204, s161)) | trans(s204, s162)) | trans(s204, s163)) | trans(s204, s164)) | trans(s204, s165)) | trans(s204, s166)) | trans(s204, s167)) | trans(s204, s168)) | trans(s204, s169)) | trans(s204, s170)) | trans(s204, s171)) | trans(s204, s172)) | trans(s204, s173)) | trans(s204, s174)) | trans(s204, s175)) | trans(s204, s176)) | trans(s204, s177)) | trans(s204, s178)) | trans(s204, s179)) | trans(s204, s180)) | trans(s204, s181)) | trans(s204, s182)) | trans(s204, s183)) | trans(s204, s184)) | trans(s204, s185)) | trans(s204, s186)) | trans(s204, s187)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179) | trans(s204, s180) | trans(s204, s181) | trans(s204, s182) | trans(s204, s183) | trans(s204, s184) | trans(s204, s185) | trans(s204, s186)) | trans(s204, s187))),
% 7.52/6.40 inference(monotonicity,[status(thm)],[25283])).
% 7.52/6.40 tff(25285,plain,
% 7.52/6.40 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) | trans(s204, s149)) | trans(s204, s150)) | trans(s204, s151)) | trans(s204, s152)) | trans(s204, s153)) | trans(s204, s154)) | trans(s204, s155)) | trans(s204, s156)) | trans(s204, s157)) | trans(s204, s158)) | trans(s204, s159)) | trans(s204, s160)) | trans(s204, s161)) | trans(s204, s162)) | trans(s204, s163)) | trans(s204, s164)) | trans(s204, s165)) | trans(s204, s166)) | trans(s204, s167)) | trans(s204, s168)) | trans(s204, s169)) | trans(s204, s170)) | trans(s204, s171)) | trans(s204, s172)) | trans(s204, s173)) | trans(s204, s174)) | trans(s204, s175)) | trans(s204, s176)) | trans(s204, s177)) | trans(s204, s178)) | trans(s204, s179)) | trans(s204, s180)) | trans(s204, s181)) | trans(s204, s182)) | trans(s204, s183)) | trans(s204, s184)) | trans(s204, s185)) | trans(s204, s186)) | trans(s204, s187)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179) | trans(s204, s180) | trans(s204, s181) | trans(s204, s182) | trans(s204, s183) | trans(s204, s184) | trans(s204, s185) | trans(s204, s186) | trans(s204, s187))),
% 7.52/6.40 inference(transitivity,[status(thm)],[25284, 24727])).
% 7.52/6.40 tff(25286,plain,
% 7.52/6.40 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) | trans(s204, s149)) | trans(s204, s150)) | trans(s204, s151)) | trans(s204, s152)) | trans(s204, s153)) | trans(s204, s154)) | trans(s204, s155)) | trans(s204, s156)) | trans(s204, s157)) | trans(s204, s158)) | trans(s204, s159)) | trans(s204, s160)) | trans(s204, s161)) | trans(s204, s162)) | trans(s204, s163)) | trans(s204, s164)) | trans(s204, s165)) | trans(s204, s166)) | trans(s204, s167)) | trans(s204, s168)) | trans(s204, s169)) | trans(s204, s170)) | trans(s204, s171)) | trans(s204, s172)) | trans(s204, s173)) | trans(s204, s174)) | trans(s204, s175)) | trans(s204, s176)) | trans(s204, s177)) | trans(s204, s178)) | trans(s204, s179)) | trans(s204, s180)) | trans(s204, s181)) | trans(s204, s182)) | trans(s204, s183)) | trans(s204, s184)) | trans(s204, s185)) | trans(s204, s186)) | trans(s204, s187)) | trans(s204, s188)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179) | trans(s204, s180) | trans(s204, s181) | trans(s204, s182) | trans(s204, s183) | trans(s204, s184) | trans(s204, s185) | trans(s204, s186) | trans(s204, s187)) | trans(s204, s188))),
% 7.52/6.41 inference(monotonicity,[status(thm)],[25285])).
% 7.52/6.41 tff(25287,plain,
% 7.52/6.41 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) | trans(s204, s149)) | trans(s204, s150)) | trans(s204, s151)) | trans(s204, s152)) | trans(s204, s153)) | trans(s204, s154)) | trans(s204, s155)) | trans(s204, s156)) | trans(s204, s157)) | trans(s204, s158)) | trans(s204, s159)) | trans(s204, s160)) | trans(s204, s161)) | trans(s204, s162)) | trans(s204, s163)) | trans(s204, s164)) | trans(s204, s165)) | trans(s204, s166)) | trans(s204, s167)) | trans(s204, s168)) | trans(s204, s169)) | trans(s204, s170)) | trans(s204, s171)) | trans(s204, s172)) | trans(s204, s173)) | trans(s204, s174)) | trans(s204, s175)) | trans(s204, s176)) | trans(s204, s177)) | trans(s204, s178)) | trans(s204, s179)) | trans(s204, s180)) | trans(s204, s181)) | trans(s204, s182)) | trans(s204, s183)) | trans(s204, s184)) | trans(s204, s185)) | trans(s204, s186)) | trans(s204, s187)) | trans(s204, s188)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179) | trans(s204, s180) | trans(s204, s181) | trans(s204, s182) | trans(s204, s183) | trans(s204, s184) | trans(s204, s185) | trans(s204, s186) | trans(s204, s187) | trans(s204, s188))),
% 7.52/6.42 inference(transitivity,[status(thm)],[25286, 24726])).
% 7.52/6.42 tff(25288,plain,
% 7.52/6.42 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) | trans(s204, s149)) | trans(s204, s150)) | trans(s204, s151)) | trans(s204, s152)) | trans(s204, s153)) | trans(s204, s154)) | trans(s204, s155)) | trans(s204, s156)) | trans(s204, s157)) | trans(s204, s158)) | trans(s204, s159)) | trans(s204, s160)) | trans(s204, s161)) | trans(s204, s162)) | trans(s204, s163)) | trans(s204, s164)) | trans(s204, s165)) | trans(s204, s166)) | trans(s204, s167)) | trans(s204, s168)) | trans(s204, s169)) | trans(s204, s170)) | trans(s204, s171)) | trans(s204, s172)) | trans(s204, s173)) | trans(s204, s174)) | trans(s204, s175)) | trans(s204, s176)) | trans(s204, s177)) | trans(s204, s178)) | trans(s204, s179)) | trans(s204, s180)) | trans(s204, s181)) | trans(s204, s182)) | trans(s204, s183)) | trans(s204, s184)) | trans(s204, s185)) | trans(s204, s186)) | trans(s204, s187)) | trans(s204, s188)) | trans(s204, s189)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179) | trans(s204, s180) | trans(s204, s181) | trans(s204, s182) | trans(s204, s183) | trans(s204, s184) | trans(s204, s185) | trans(s204, s186) | trans(s204, s187) | trans(s204, s188)) | trans(s204, s189))),
% 7.52/6.42 inference(monotonicity,[status(thm)],[25287])).
% 7.52/6.42 tff(25289,plain,
% 7.52/6.42 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) | trans(s204, s149)) | trans(s204, s150)) | trans(s204, s151)) | trans(s204, s152)) | trans(s204, s153)) | trans(s204, s154)) | trans(s204, s155)) | trans(s204, s156)) | trans(s204, s157)) | trans(s204, s158)) | trans(s204, s159)) | trans(s204, s160)) | trans(s204, s161)) | trans(s204, s162)) | trans(s204, s163)) | trans(s204, s164)) | trans(s204, s165)) | trans(s204, s166)) | trans(s204, s167)) | trans(s204, s168)) | trans(s204, s169)) | trans(s204, s170)) | trans(s204, s171)) | trans(s204, s172)) | trans(s204, s173)) | trans(s204, s174)) | trans(s204, s175)) | trans(s204, s176)) | trans(s204, s177)) | trans(s204, s178)) | trans(s204, s179)) | trans(s204, s180)) | trans(s204, s181)) | trans(s204, s182)) | trans(s204, s183)) | trans(s204, s184)) | trans(s204, s185)) | trans(s204, s186)) | trans(s204, s187)) | trans(s204, s188)) | trans(s204, s189)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179) | trans(s204, s180) | trans(s204, s181) | trans(s204, s182) | trans(s204, s183) | trans(s204, s184) | trans(s204, s185) | trans(s204, s186) | trans(s204, s187) | trans(s204, s188) | trans(s204, s189))),
% 7.52/6.43 inference(transitivity,[status(thm)],[25288, 24725])).
% 7.52/6.43 tff(25290,plain,
% 7.52/6.43 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) | trans(s204, s149)) | trans(s204, s150)) | trans(s204, s151)) | trans(s204, s152)) | trans(s204, s153)) | trans(s204, s154)) | trans(s204, s155)) | trans(s204, s156)) | trans(s204, s157)) | trans(s204, s158)) | trans(s204, s159)) | trans(s204, s160)) | trans(s204, s161)) | trans(s204, s162)) | trans(s204, s163)) | trans(s204, s164)) | trans(s204, s165)) | trans(s204, s166)) | trans(s204, s167)) | trans(s204, s168)) | trans(s204, s169)) | trans(s204, s170)) | trans(s204, s171)) | trans(s204, s172)) | trans(s204, s173)) | trans(s204, s174)) | trans(s204, s175)) | trans(s204, s176)) | trans(s204, s177)) | trans(s204, s178)) | trans(s204, s179)) | trans(s204, s180)) | trans(s204, s181)) | trans(s204, s182)) | trans(s204, s183)) | trans(s204, s184)) | trans(s204, s185)) | trans(s204, s186)) | trans(s204, s187)) | trans(s204, s188)) | trans(s204, s189)) | trans(s204, s190)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179) | trans(s204, s180) | trans(s204, s181) | trans(s204, s182) | trans(s204, s183) | trans(s204, s184) | trans(s204, s185) | trans(s204, s186) | trans(s204, s187) | trans(s204, s188) | trans(s204, s189)) | trans(s204, s190))),
% 7.52/6.43 inference(monotonicity,[status(thm)],[25289])).
% 7.52/6.43 tff(25291,plain,
% 7.52/6.43 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) | trans(s204, s149)) | trans(s204, s150)) | trans(s204, s151)) | trans(s204, s152)) | trans(s204, s153)) | trans(s204, s154)) | trans(s204, s155)) | trans(s204, s156)) | trans(s204, s157)) | trans(s204, s158)) | trans(s204, s159)) | trans(s204, s160)) | trans(s204, s161)) | trans(s204, s162)) | trans(s204, s163)) | trans(s204, s164)) | trans(s204, s165)) | trans(s204, s166)) | trans(s204, s167)) | trans(s204, s168)) | trans(s204, s169)) | trans(s204, s170)) | trans(s204, s171)) | trans(s204, s172)) | trans(s204, s173)) | trans(s204, s174)) | trans(s204, s175)) | trans(s204, s176)) | trans(s204, s177)) | trans(s204, s178)) | trans(s204, s179)) | trans(s204, s180)) | trans(s204, s181)) | trans(s204, s182)) | trans(s204, s183)) | trans(s204, s184)) | trans(s204, s185)) | trans(s204, s186)) | trans(s204, s187)) | trans(s204, s188)) | trans(s204, s189)) | trans(s204, s190)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179) | trans(s204, s180) | trans(s204, s181) | trans(s204, s182) | trans(s204, s183) | trans(s204, s184) | trans(s204, s185) | trans(s204, s186) | trans(s204, s187) | trans(s204, s188) | trans(s204, s189) | trans(s204, s190))),
% 7.52/6.44 inference(transitivity,[status(thm)],[25290, 24724])).
% 7.52/6.44 tff(25292,plain,
% 7.52/6.44 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) | trans(s204, s149)) | trans(s204, s150)) | trans(s204, s151)) | trans(s204, s152)) | trans(s204, s153)) | trans(s204, s154)) | trans(s204, s155)) | trans(s204, s156)) | trans(s204, s157)) | trans(s204, s158)) | trans(s204, s159)) | trans(s204, s160)) | trans(s204, s161)) | trans(s204, s162)) | trans(s204, s163)) | trans(s204, s164)) | trans(s204, s165)) | trans(s204, s166)) | trans(s204, s167)) | trans(s204, s168)) | trans(s204, s169)) | trans(s204, s170)) | trans(s204, s171)) | trans(s204, s172)) | trans(s204, s173)) | trans(s204, s174)) | trans(s204, s175)) | trans(s204, s176)) | trans(s204, s177)) | trans(s204, s178)) | trans(s204, s179)) | trans(s204, s180)) | trans(s204, s181)) | trans(s204, s182)) | trans(s204, s183)) | trans(s204, s184)) | trans(s204, s185)) | trans(s204, s186)) | trans(s204, s187)) | trans(s204, s188)) | trans(s204, s189)) | trans(s204, s190)) | trans(s204, s191)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179) | trans(s204, s180) | trans(s204, s181) | trans(s204, s182) | trans(s204, s183) | trans(s204, s184) | trans(s204, s185) | trans(s204, s186) | trans(s204, s187) | trans(s204, s188) | trans(s204, s189) | trans(s204, s190)) | trans(s204, s191))),
% 7.52/6.44 inference(monotonicity,[status(thm)],[25291])).
% 7.52/6.44 tff(25293,plain,
% 7.52/6.44 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) | trans(s204, s149)) | trans(s204, s150)) | trans(s204, s151)) | trans(s204, s152)) | trans(s204, s153)) | trans(s204, s154)) | trans(s204, s155)) | trans(s204, s156)) | trans(s204, s157)) | trans(s204, s158)) | trans(s204, s159)) | trans(s204, s160)) | trans(s204, s161)) | trans(s204, s162)) | trans(s204, s163)) | trans(s204, s164)) | trans(s204, s165)) | trans(s204, s166)) | trans(s204, s167)) | trans(s204, s168)) | trans(s204, s169)) | trans(s204, s170)) | trans(s204, s171)) | trans(s204, s172)) | trans(s204, s173)) | trans(s204, s174)) | trans(s204, s175)) | trans(s204, s176)) | trans(s204, s177)) | trans(s204, s178)) | trans(s204, s179)) | trans(s204, s180)) | trans(s204, s181)) | trans(s204, s182)) | trans(s204, s183)) | trans(s204, s184)) | trans(s204, s185)) | trans(s204, s186)) | trans(s204, s187)) | trans(s204, s188)) | trans(s204, s189)) | trans(s204, s190)) | trans(s204, s191)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179) | trans(s204, s180) | trans(s204, s181) | trans(s204, s182) | trans(s204, s183) | trans(s204, s184) | trans(s204, s185) | trans(s204, s186) | trans(s204, s187) | trans(s204, s188) | trans(s204, s189) | trans(s204, s190) | trans(s204, s191))),
% 7.52/6.45 inference(transitivity,[status(thm)],[25292, 24723])).
% 7.52/6.45 tff(25294,plain,
% 7.52/6.45 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) | trans(s204, s149)) | trans(s204, s150)) | trans(s204, s151)) | trans(s204, s152)) | trans(s204, s153)) | trans(s204, s154)) | trans(s204, s155)) | trans(s204, s156)) | trans(s204, s157)) | trans(s204, s158)) | trans(s204, s159)) | trans(s204, s160)) | trans(s204, s161)) | trans(s204, s162)) | trans(s204, s163)) | trans(s204, s164)) | trans(s204, s165)) | trans(s204, s166)) | trans(s204, s167)) | trans(s204, s168)) | trans(s204, s169)) | trans(s204, s170)) | trans(s204, s171)) | trans(s204, s172)) | trans(s204, s173)) | trans(s204, s174)) | trans(s204, s175)) | trans(s204, s176)) | trans(s204, s177)) | trans(s204, s178)) | trans(s204, s179)) | trans(s204, s180)) | trans(s204, s181)) | trans(s204, s182)) | trans(s204, s183)) | trans(s204, s184)) | trans(s204, s185)) | trans(s204, s186)) | trans(s204, s187)) | trans(s204, s188)) | trans(s204, s189)) | trans(s204, s190)) | trans(s204, s191)) | trans(s204, s192)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179) | trans(s204, s180) | trans(s204, s181) | trans(s204, s182) | trans(s204, s183) | trans(s204, s184) | trans(s204, s185) | trans(s204, s186) | trans(s204, s187) | trans(s204, s188) | trans(s204, s189) | trans(s204, s190) | trans(s204, s191)) | trans(s204, s192))),
% 7.62/6.46 inference(monotonicity,[status(thm)],[25293])).
% 7.62/6.46 tff(25295,plain,
% 7.62/6.46 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) | trans(s204, s149)) | trans(s204, s150)) | trans(s204, s151)) | trans(s204, s152)) | trans(s204, s153)) | trans(s204, s154)) | trans(s204, s155)) | trans(s204, s156)) | trans(s204, s157)) | trans(s204, s158)) | trans(s204, s159)) | trans(s204, s160)) | trans(s204, s161)) | trans(s204, s162)) | trans(s204, s163)) | trans(s204, s164)) | trans(s204, s165)) | trans(s204, s166)) | trans(s204, s167)) | trans(s204, s168)) | trans(s204, s169)) | trans(s204, s170)) | trans(s204, s171)) | trans(s204, s172)) | trans(s204, s173)) | trans(s204, s174)) | trans(s204, s175)) | trans(s204, s176)) | trans(s204, s177)) | trans(s204, s178)) | trans(s204, s179)) | trans(s204, s180)) | trans(s204, s181)) | trans(s204, s182)) | trans(s204, s183)) | trans(s204, s184)) | trans(s204, s185)) | trans(s204, s186)) | trans(s204, s187)) | trans(s204, s188)) | trans(s204, s189)) | trans(s204, s190)) | trans(s204, s191)) | trans(s204, s192)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179) | trans(s204, s180) | trans(s204, s181) | trans(s204, s182) | trans(s204, s183) | trans(s204, s184) | trans(s204, s185) | trans(s204, s186) | trans(s204, s187) | trans(s204, s188) | trans(s204, s189) | trans(s204, s190) | trans(s204, s191) | trans(s204, s192))),
% 7.62/6.46 inference(transitivity,[status(thm)],[25294, 24722])).
% 7.62/6.46 tff(25296,plain,
% 7.62/6.46 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) | trans(s204, s149)) | trans(s204, s150)) | trans(s204, s151)) | trans(s204, s152)) | trans(s204, s153)) | trans(s204, s154)) | trans(s204, s155)) | trans(s204, s156)) | trans(s204, s157)) | trans(s204, s158)) | trans(s204, s159)) | trans(s204, s160)) | trans(s204, s161)) | trans(s204, s162)) | trans(s204, s163)) | trans(s204, s164)) | trans(s204, s165)) | trans(s204, s166)) | trans(s204, s167)) | trans(s204, s168)) | trans(s204, s169)) | trans(s204, s170)) | trans(s204, s171)) | trans(s204, s172)) | trans(s204, s173)) | trans(s204, s174)) | trans(s204, s175)) | trans(s204, s176)) | trans(s204, s177)) | trans(s204, s178)) | trans(s204, s179)) | trans(s204, s180)) | trans(s204, s181)) | trans(s204, s182)) | trans(s204, s183)) | trans(s204, s184)) | trans(s204, s185)) | trans(s204, s186)) | trans(s204, s187)) | trans(s204, s188)) | trans(s204, s189)) | trans(s204, s190)) | trans(s204, s191)) | trans(s204, s192)) | trans(s204, s193)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179) | trans(s204, s180) | trans(s204, s181) | trans(s204, s182) | trans(s204, s183) | trans(s204, s184) | trans(s204, s185) | trans(s204, s186) | trans(s204, s187) | trans(s204, s188) | trans(s204, s189) | trans(s204, s190) | trans(s204, s191) | trans(s204, s192)) | trans(s204, s193))),
% 7.62/6.47 inference(monotonicity,[status(thm)],[25295])).
% 7.62/6.47 tff(25297,plain,
% 7.62/6.47 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) | trans(s204, s149)) | trans(s204, s150)) | trans(s204, s151)) | trans(s204, s152)) | trans(s204, s153)) | trans(s204, s154)) | trans(s204, s155)) | trans(s204, s156)) | trans(s204, s157)) | trans(s204, s158)) | trans(s204, s159)) | trans(s204, s160)) | trans(s204, s161)) | trans(s204, s162)) | trans(s204, s163)) | trans(s204, s164)) | trans(s204, s165)) | trans(s204, s166)) | trans(s204, s167)) | trans(s204, s168)) | trans(s204, s169)) | trans(s204, s170)) | trans(s204, s171)) | trans(s204, s172)) | trans(s204, s173)) | trans(s204, s174)) | trans(s204, s175)) | trans(s204, s176)) | trans(s204, s177)) | trans(s204, s178)) | trans(s204, s179)) | trans(s204, s180)) | trans(s204, s181)) | trans(s204, s182)) | trans(s204, s183)) | trans(s204, s184)) | trans(s204, s185)) | trans(s204, s186)) | trans(s204, s187)) | trans(s204, s188)) | trans(s204, s189)) | trans(s204, s190)) | trans(s204, s191)) | trans(s204, s192)) | trans(s204, s193)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179) | trans(s204, s180) | trans(s204, s181) | trans(s204, s182) | trans(s204, s183) | trans(s204, s184) | trans(s204, s185) | trans(s204, s186) | trans(s204, s187) | trans(s204, s188) | trans(s204, s189) | trans(s204, s190) | trans(s204, s191) | trans(s204, s192) | trans(s204, s193))),
% 7.62/6.48 inference(transitivity,[status(thm)],[25296, 24721])).
% 7.62/6.48 tff(25298,plain,
% 7.62/6.48 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) | trans(s204, s149)) | trans(s204, s150)) | trans(s204, s151)) | trans(s204, s152)) | trans(s204, s153)) | trans(s204, s154)) | trans(s204, s155)) | trans(s204, s156)) | trans(s204, s157)) | trans(s204, s158)) | trans(s204, s159)) | trans(s204, s160)) | trans(s204, s161)) | trans(s204, s162)) | trans(s204, s163)) | trans(s204, s164)) | trans(s204, s165)) | trans(s204, s166)) | trans(s204, s167)) | trans(s204, s168)) | trans(s204, s169)) | trans(s204, s170)) | trans(s204, s171)) | trans(s204, s172)) | trans(s204, s173)) | trans(s204, s174)) | trans(s204, s175)) | trans(s204, s176)) | trans(s204, s177)) | trans(s204, s178)) | trans(s204, s179)) | trans(s204, s180)) | trans(s204, s181)) | trans(s204, s182)) | trans(s204, s183)) | trans(s204, s184)) | trans(s204, s185)) | trans(s204, s186)) | trans(s204, s187)) | trans(s204, s188)) | trans(s204, s189)) | trans(s204, s190)) | trans(s204, s191)) | trans(s204, s192)) | trans(s204, s193)) | trans(s204, s194)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179) | trans(s204, s180) | trans(s204, s181) | trans(s204, s182) | trans(s204, s183) | trans(s204, s184) | trans(s204, s185) | trans(s204, s186) | trans(s204, s187) | trans(s204, s188) | trans(s204, s189) | trans(s204, s190) | trans(s204, s191) | trans(s204, s192) | trans(s204, s193)) | trans(s204, s194))),
% 7.62/6.48 inference(monotonicity,[status(thm)],[25297])).
% 7.62/6.48 tff(25299,plain,
% 7.62/6.48 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) | trans(s204, s149)) | trans(s204, s150)) | trans(s204, s151)) | trans(s204, s152)) | trans(s204, s153)) | trans(s204, s154)) | trans(s204, s155)) | trans(s204, s156)) | trans(s204, s157)) | trans(s204, s158)) | trans(s204, s159)) | trans(s204, s160)) | trans(s204, s161)) | trans(s204, s162)) | trans(s204, s163)) | trans(s204, s164)) | trans(s204, s165)) | trans(s204, s166)) | trans(s204, s167)) | trans(s204, s168)) | trans(s204, s169)) | trans(s204, s170)) | trans(s204, s171)) | trans(s204, s172)) | trans(s204, s173)) | trans(s204, s174)) | trans(s204, s175)) | trans(s204, s176)) | trans(s204, s177)) | trans(s204, s178)) | trans(s204, s179)) | trans(s204, s180)) | trans(s204, s181)) | trans(s204, s182)) | trans(s204, s183)) | trans(s204, s184)) | trans(s204, s185)) | trans(s204, s186)) | trans(s204, s187)) | trans(s204, s188)) | trans(s204, s189)) | trans(s204, s190)) | trans(s204, s191)) | trans(s204, s192)) | trans(s204, s193)) | trans(s204, s194)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179) | trans(s204, s180) | trans(s204, s181) | trans(s204, s182) | trans(s204, s183) | trans(s204, s184) | trans(s204, s185) | trans(s204, s186) | trans(s204, s187) | trans(s204, s188) | trans(s204, s189) | trans(s204, s190) | trans(s204, s191) | trans(s204, s192) | trans(s204, s193) | trans(s204, s194))),
% 7.62/6.49 inference(transitivity,[status(thm)],[25298, 24720])).
% 7.62/6.49 tff(25300,plain,
% 7.62/6.49 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) | trans(s204, s149)) | trans(s204, s150)) | trans(s204, s151)) | trans(s204, s152)) | trans(s204, s153)) | trans(s204, s154)) | trans(s204, s155)) | trans(s204, s156)) | trans(s204, s157)) | trans(s204, s158)) | trans(s204, s159)) | trans(s204, s160)) | trans(s204, s161)) | trans(s204, s162)) | trans(s204, s163)) | trans(s204, s164)) | trans(s204, s165)) | trans(s204, s166)) | trans(s204, s167)) | trans(s204, s168)) | trans(s204, s169)) | trans(s204, s170)) | trans(s204, s171)) | trans(s204, s172)) | trans(s204, s173)) | trans(s204, s174)) | trans(s204, s175)) | trans(s204, s176)) | trans(s204, s177)) | trans(s204, s178)) | trans(s204, s179)) | trans(s204, s180)) | trans(s204, s181)) | trans(s204, s182)) | trans(s204, s183)) | trans(s204, s184)) | trans(s204, s185)) | trans(s204, s186)) | trans(s204, s187)) | trans(s204, s188)) | trans(s204, s189)) | trans(s204, s190)) | trans(s204, s191)) | trans(s204, s192)) | trans(s204, s193)) | trans(s204, s194)) | trans(s204, s195)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179) | trans(s204, s180) | trans(s204, s181) | trans(s204, s182) | trans(s204, s183) | trans(s204, s184) | trans(s204, s185) | trans(s204, s186) | trans(s204, s187) | trans(s204, s188) | trans(s204, s189) | trans(s204, s190) | trans(s204, s191) | trans(s204, s192) | trans(s204, s193) | trans(s204, s194)) | trans(s204, s195))),
% 7.62/6.49 inference(monotonicity,[status(thm)],[25299])).
% 7.62/6.49 tff(25301,plain,
% 7.62/6.49 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) | trans(s204, s149)) | trans(s204, s150)) | trans(s204, s151)) | trans(s204, s152)) | trans(s204, s153)) | trans(s204, s154)) | trans(s204, s155)) | trans(s204, s156)) | trans(s204, s157)) | trans(s204, s158)) | trans(s204, s159)) | trans(s204, s160)) | trans(s204, s161)) | trans(s204, s162)) | trans(s204, s163)) | trans(s204, s164)) | trans(s204, s165)) | trans(s204, s166)) | trans(s204, s167)) | trans(s204, s168)) | trans(s204, s169)) | trans(s204, s170)) | trans(s204, s171)) | trans(s204, s172)) | trans(s204, s173)) | trans(s204, s174)) | trans(s204, s175)) | trans(s204, s176)) | trans(s204, s177)) | trans(s204, s178)) | trans(s204, s179)) | trans(s204, s180)) | trans(s204, s181)) | trans(s204, s182)) | trans(s204, s183)) | trans(s204, s184)) | trans(s204, s185)) | trans(s204, s186)) | trans(s204, s187)) | trans(s204, s188)) | trans(s204, s189)) | trans(s204, s190)) | trans(s204, s191)) | trans(s204, s192)) | trans(s204, s193)) | trans(s204, s194)) | trans(s204, s195)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179) | trans(s204, s180) | trans(s204, s181) | trans(s204, s182) | trans(s204, s183) | trans(s204, s184) | trans(s204, s185) | trans(s204, s186) | trans(s204, s187) | trans(s204, s188) | trans(s204, s189) | trans(s204, s190) | trans(s204, s191) | trans(s204, s192) | trans(s204, s193) | trans(s204, s194) | trans(s204, s195))),
% 7.66/6.50 inference(transitivity,[status(thm)],[25300, 24719])).
% 7.66/6.50 tff(25302,plain,
% 7.66/6.50 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) | trans(s204, s149)) | trans(s204, s150)) | trans(s204, s151)) | trans(s204, s152)) | trans(s204, s153)) | trans(s204, s154)) | trans(s204, s155)) | trans(s204, s156)) | trans(s204, s157)) | trans(s204, s158)) | trans(s204, s159)) | trans(s204, s160)) | trans(s204, s161)) | trans(s204, s162)) | trans(s204, s163)) | trans(s204, s164)) | trans(s204, s165)) | trans(s204, s166)) | trans(s204, s167)) | trans(s204, s168)) | trans(s204, s169)) | trans(s204, s170)) | trans(s204, s171)) | trans(s204, s172)) | trans(s204, s173)) | trans(s204, s174)) | trans(s204, s175)) | trans(s204, s176)) | trans(s204, s177)) | trans(s204, s178)) | trans(s204, s179)) | trans(s204, s180)) | trans(s204, s181)) | trans(s204, s182)) | trans(s204, s183)) | trans(s204, s184)) | trans(s204, s185)) | trans(s204, s186)) | trans(s204, s187)) | trans(s204, s188)) | trans(s204, s189)) | trans(s204, s190)) | trans(s204, s191)) | trans(s204, s192)) | trans(s204, s193)) | trans(s204, s194)) | trans(s204, s195)) | trans(s204, s196)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179) | trans(s204, s180) | trans(s204, s181) | trans(s204, s182) | trans(s204, s183) | trans(s204, s184) | trans(s204, s185) | trans(s204, s186) | trans(s204, s187) | trans(s204, s188) | trans(s204, s189) | trans(s204, s190) | trans(s204, s191) | trans(s204, s192) | trans(s204, s193) | trans(s204, s194) | trans(s204, s195)) | trans(s204, s196))),
% 7.66/6.51 inference(monotonicity,[status(thm)],[25301])).
% 7.66/6.51 tff(25303,plain,
% 7.66/6.51 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) | trans(s204, s149)) | trans(s204, s150)) | trans(s204, s151)) | trans(s204, s152)) | trans(s204, s153)) | trans(s204, s154)) | trans(s204, s155)) | trans(s204, s156)) | trans(s204, s157)) | trans(s204, s158)) | trans(s204, s159)) | trans(s204, s160)) | trans(s204, s161)) | trans(s204, s162)) | trans(s204, s163)) | trans(s204, s164)) | trans(s204, s165)) | trans(s204, s166)) | trans(s204, s167)) | trans(s204, s168)) | trans(s204, s169)) | trans(s204, s170)) | trans(s204, s171)) | trans(s204, s172)) | trans(s204, s173)) | trans(s204, s174)) | trans(s204, s175)) | trans(s204, s176)) | trans(s204, s177)) | trans(s204, s178)) | trans(s204, s179)) | trans(s204, s180)) | trans(s204, s181)) | trans(s204, s182)) | trans(s204, s183)) | trans(s204, s184)) | trans(s204, s185)) | trans(s204, s186)) | trans(s204, s187)) | trans(s204, s188)) | trans(s204, s189)) | trans(s204, s190)) | trans(s204, s191)) | trans(s204, s192)) | trans(s204, s193)) | trans(s204, s194)) | trans(s204, s195)) | trans(s204, s196)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179) | trans(s204, s180) | trans(s204, s181) | trans(s204, s182) | trans(s204, s183) | trans(s204, s184) | trans(s204, s185) | trans(s204, s186) | trans(s204, s187) | trans(s204, s188) | trans(s204, s189) | trans(s204, s190) | trans(s204, s191) | trans(s204, s192) | trans(s204, s193) | trans(s204, s194) | trans(s204, s195) | trans(s204, s196))),
% 7.66/6.51 inference(transitivity,[status(thm)],[25302, 24718])).
% 7.66/6.51 tff(25304,plain,
% 7.66/6.51 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) | trans(s204, s149)) | trans(s204, s150)) | trans(s204, s151)) | trans(s204, s152)) | trans(s204, s153)) | trans(s204, s154)) | trans(s204, s155)) | trans(s204, s156)) | trans(s204, s157)) | trans(s204, s158)) | trans(s204, s159)) | trans(s204, s160)) | trans(s204, s161)) | trans(s204, s162)) | trans(s204, s163)) | trans(s204, s164)) | trans(s204, s165)) | trans(s204, s166)) | trans(s204, s167)) | trans(s204, s168)) | trans(s204, s169)) | trans(s204, s170)) | trans(s204, s171)) | trans(s204, s172)) | trans(s204, s173)) | trans(s204, s174)) | trans(s204, s175)) | trans(s204, s176)) | trans(s204, s177)) | trans(s204, s178)) | trans(s204, s179)) | trans(s204, s180)) | trans(s204, s181)) | trans(s204, s182)) | trans(s204, s183)) | trans(s204, s184)) | trans(s204, s185)) | trans(s204, s186)) | trans(s204, s187)) | trans(s204, s188)) | trans(s204, s189)) | trans(s204, s190)) | trans(s204, s191)) | trans(s204, s192)) | trans(s204, s193)) | trans(s204, s194)) | trans(s204, s195)) | trans(s204, s196)) | trans(s204, s197)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179) | trans(s204, s180) | trans(s204, s181) | trans(s204, s182) | trans(s204, s183) | trans(s204, s184) | trans(s204, s185) | trans(s204, s186) | trans(s204, s187) | trans(s204, s188) | trans(s204, s189) | trans(s204, s190) | trans(s204, s191) | trans(s204, s192) | trans(s204, s193) | trans(s204, s194) | trans(s204, s195) | trans(s204, s196)) | trans(s204, s197))),
% 7.66/6.52 inference(monotonicity,[status(thm)],[25303])).
% 7.66/6.52 tff(25305,plain,
% 7.66/6.52 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) | trans(s204, s149)) | trans(s204, s150)) | trans(s204, s151)) | trans(s204, s152)) | trans(s204, s153)) | trans(s204, s154)) | trans(s204, s155)) | trans(s204, s156)) | trans(s204, s157)) | trans(s204, s158)) | trans(s204, s159)) | trans(s204, s160)) | trans(s204, s161)) | trans(s204, s162)) | trans(s204, s163)) | trans(s204, s164)) | trans(s204, s165)) | trans(s204, s166)) | trans(s204, s167)) | trans(s204, s168)) | trans(s204, s169)) | trans(s204, s170)) | trans(s204, s171)) | trans(s204, s172)) | trans(s204, s173)) | trans(s204, s174)) | trans(s204, s175)) | trans(s204, s176)) | trans(s204, s177)) | trans(s204, s178)) | trans(s204, s179)) | trans(s204, s180)) | trans(s204, s181)) | trans(s204, s182)) | trans(s204, s183)) | trans(s204, s184)) | trans(s204, s185)) | trans(s204, s186)) | trans(s204, s187)) | trans(s204, s188)) | trans(s204, s189)) | trans(s204, s190)) | trans(s204, s191)) | trans(s204, s192)) | trans(s204, s193)) | trans(s204, s194)) | trans(s204, s195)) | trans(s204, s196)) | trans(s204, s197)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179) | trans(s204, s180) | trans(s204, s181) | trans(s204, s182) | trans(s204, s183) | trans(s204, s184) | trans(s204, s185) | trans(s204, s186) | trans(s204, s187) | trans(s204, s188) | trans(s204, s189) | trans(s204, s190) | trans(s204, s191) | trans(s204, s192) | trans(s204, s193) | trans(s204, s194) | trans(s204, s195) | trans(s204, s196) | trans(s204, s197))),
% 7.66/6.53 inference(transitivity,[status(thm)],[25304, 24717])).
% 7.66/6.53 tff(25306,plain,
% 7.66/6.53 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) | trans(s204, s149)) | trans(s204, s150)) | trans(s204, s151)) | trans(s204, s152)) | trans(s204, s153)) | trans(s204, s154)) | trans(s204, s155)) | trans(s204, s156)) | trans(s204, s157)) | trans(s204, s158)) | trans(s204, s159)) | trans(s204, s160)) | trans(s204, s161)) | trans(s204, s162)) | trans(s204, s163)) | trans(s204, s164)) | trans(s204, s165)) | trans(s204, s166)) | trans(s204, s167)) | trans(s204, s168)) | trans(s204, s169)) | trans(s204, s170)) | trans(s204, s171)) | trans(s204, s172)) | trans(s204, s173)) | trans(s204, s174)) | trans(s204, s175)) | trans(s204, s176)) | trans(s204, s177)) | trans(s204, s178)) | trans(s204, s179)) | trans(s204, s180)) | trans(s204, s181)) | trans(s204, s182)) | trans(s204, s183)) | trans(s204, s184)) | trans(s204, s185)) | trans(s204, s186)) | trans(s204, s187)) | trans(s204, s188)) | trans(s204, s189)) | trans(s204, s190)) | trans(s204, s191)) | trans(s204, s192)) | trans(s204, s193)) | trans(s204, s194)) | trans(s204, s195)) | trans(s204, s196)) | trans(s204, s197)) | trans(s204, s198)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179) | trans(s204, s180) | trans(s204, s181) | trans(s204, s182) | trans(s204, s183) | trans(s204, s184) | trans(s204, s185) | trans(s204, s186) | trans(s204, s187) | trans(s204, s188) | trans(s204, s189) | trans(s204, s190) | trans(s204, s191) | trans(s204, s192) | trans(s204, s193) | trans(s204, s194) | trans(s204, s195) | trans(s204, s196) | trans(s204, s197)) | trans(s204, s198))),
% 7.66/6.53 inference(monotonicity,[status(thm)],[25305])).
% 7.66/6.53 tff(25307,plain,
% 7.66/6.53 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) | trans(s204, s149)) | trans(s204, s150)) | trans(s204, s151)) | trans(s204, s152)) | trans(s204, s153)) | trans(s204, s154)) | trans(s204, s155)) | trans(s204, s156)) | trans(s204, s157)) | trans(s204, s158)) | trans(s204, s159)) | trans(s204, s160)) | trans(s204, s161)) | trans(s204, s162)) | trans(s204, s163)) | trans(s204, s164)) | trans(s204, s165)) | trans(s204, s166)) | trans(s204, s167)) | trans(s204, s168)) | trans(s204, s169)) | trans(s204, s170)) | trans(s204, s171)) | trans(s204, s172)) | trans(s204, s173)) | trans(s204, s174)) | trans(s204, s175)) | trans(s204, s176)) | trans(s204, s177)) | trans(s204, s178)) | trans(s204, s179)) | trans(s204, s180)) | trans(s204, s181)) | trans(s204, s182)) | trans(s204, s183)) | trans(s204, s184)) | trans(s204, s185)) | trans(s204, s186)) | trans(s204, s187)) | trans(s204, s188)) | trans(s204, s189)) | trans(s204, s190)) | trans(s204, s191)) | trans(s204, s192)) | trans(s204, s193)) | trans(s204, s194)) | trans(s204, s195)) | trans(s204, s196)) | trans(s204, s197)) | trans(s204, s198)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179) | trans(s204, s180) | trans(s204, s181) | trans(s204, s182) | trans(s204, s183) | trans(s204, s184) | trans(s204, s185) | trans(s204, s186) | trans(s204, s187) | trans(s204, s188) | trans(s204, s189) | trans(s204, s190) | trans(s204, s191) | trans(s204, s192) | trans(s204, s193) | trans(s204, s194) | trans(s204, s195) | trans(s204, s196) | trans(s204, s197) | trans(s204, s198))),
% 7.70/6.54 inference(transitivity,[status(thm)],[25306, 24716])).
% 7.70/6.54 tff(25308,plain,
% 7.70/6.54 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) | trans(s204, s149)) | trans(s204, s150)) | trans(s204, s151)) | trans(s204, s152)) | trans(s204, s153)) | trans(s204, s154)) | trans(s204, s155)) | trans(s204, s156)) | trans(s204, s157)) | trans(s204, s158)) | trans(s204, s159)) | trans(s204, s160)) | trans(s204, s161)) | trans(s204, s162)) | trans(s204, s163)) | trans(s204, s164)) | trans(s204, s165)) | trans(s204, s166)) | trans(s204, s167)) | trans(s204, s168)) | trans(s204, s169)) | trans(s204, s170)) | trans(s204, s171)) | trans(s204, s172)) | trans(s204, s173)) | trans(s204, s174)) | trans(s204, s175)) | trans(s204, s176)) | trans(s204, s177)) | trans(s204, s178)) | trans(s204, s179)) | trans(s204, s180)) | trans(s204, s181)) | trans(s204, s182)) | trans(s204, s183)) | trans(s204, s184)) | trans(s204, s185)) | trans(s204, s186)) | trans(s204, s187)) | trans(s204, s188)) | trans(s204, s189)) | trans(s204, s190)) | trans(s204, s191)) | trans(s204, s192)) | trans(s204, s193)) | trans(s204, s194)) | trans(s204, s195)) | trans(s204, s196)) | trans(s204, s197)) | trans(s204, s198)) | trans(s204, s199)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179) | trans(s204, s180) | trans(s204, s181) | trans(s204, s182) | trans(s204, s183) | trans(s204, s184) | trans(s204, s185) | trans(s204, s186) | trans(s204, s187) | trans(s204, s188) | trans(s204, s189) | trans(s204, s190) | trans(s204, s191) | trans(s204, s192) | trans(s204, s193) | trans(s204, s194) | trans(s204, s195) | trans(s204, s196) | trans(s204, s197) | trans(s204, s198)) | trans(s204, s199))),
% 7.70/6.54 inference(monotonicity,[status(thm)],[25307])).
% 7.70/6.54 tff(25309,plain,
% 7.70/6.54 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) | trans(s204, s149)) | trans(s204, s150)) | trans(s204, s151)) | trans(s204, s152)) | trans(s204, s153)) | trans(s204, s154)) | trans(s204, s155)) | trans(s204, s156)) | trans(s204, s157)) | trans(s204, s158)) | trans(s204, s159)) | trans(s204, s160)) | trans(s204, s161)) | trans(s204, s162)) | trans(s204, s163)) | trans(s204, s164)) | trans(s204, s165)) | trans(s204, s166)) | trans(s204, s167)) | trans(s204, s168)) | trans(s204, s169)) | trans(s204, s170)) | trans(s204, s171)) | trans(s204, s172)) | trans(s204, s173)) | trans(s204, s174)) | trans(s204, s175)) | trans(s204, s176)) | trans(s204, s177)) | trans(s204, s178)) | trans(s204, s179)) | trans(s204, s180)) | trans(s204, s181)) | trans(s204, s182)) | trans(s204, s183)) | trans(s204, s184)) | trans(s204, s185)) | trans(s204, s186)) | trans(s204, s187)) | trans(s204, s188)) | trans(s204, s189)) | trans(s204, s190)) | trans(s204, s191)) | trans(s204, s192)) | trans(s204, s193)) | trans(s204, s194)) | trans(s204, s195)) | trans(s204, s196)) | trans(s204, s197)) | trans(s204, s198)) | trans(s204, s199)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179) | trans(s204, s180) | trans(s204, s181) | trans(s204, s182) | trans(s204, s183) | trans(s204, s184) | trans(s204, s185) | trans(s204, s186) | trans(s204, s187) | trans(s204, s188) | trans(s204, s189) | trans(s204, s190) | trans(s204, s191) | trans(s204, s192) | trans(s204, s193) | trans(s204, s194) | trans(s204, s195) | trans(s204, s196) | trans(s204, s197) | trans(s204, s198) | trans(s204, s199))),
% 7.70/6.55 inference(transitivity,[status(thm)],[25308, 24715])).
% 7.70/6.55 tff(25310,plain,
% 7.70/6.55 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) | trans(s204, s149)) | trans(s204, s150)) | trans(s204, s151)) | trans(s204, s152)) | trans(s204, s153)) | trans(s204, s154)) | trans(s204, s155)) | trans(s204, s156)) | trans(s204, s157)) | trans(s204, s158)) | trans(s204, s159)) | trans(s204, s160)) | trans(s204, s161)) | trans(s204, s162)) | trans(s204, s163)) | trans(s204, s164)) | trans(s204, s165)) | trans(s204, s166)) | trans(s204, s167)) | trans(s204, s168)) | trans(s204, s169)) | trans(s204, s170)) | trans(s204, s171)) | trans(s204, s172)) | trans(s204, s173)) | trans(s204, s174)) | trans(s204, s175)) | trans(s204, s176)) | trans(s204, s177)) | trans(s204, s178)) | trans(s204, s179)) | trans(s204, s180)) | trans(s204, s181)) | trans(s204, s182)) | trans(s204, s183)) | trans(s204, s184)) | trans(s204, s185)) | trans(s204, s186)) | trans(s204, s187)) | trans(s204, s188)) | trans(s204, s189)) | trans(s204, s190)) | trans(s204, s191)) | trans(s204, s192)) | trans(s204, s193)) | trans(s204, s194)) | trans(s204, s195)) | trans(s204, s196)) | trans(s204, s197)) | trans(s204, s198)) | trans(s204, s199)) | trans(s204, s200)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179) | trans(s204, s180) | trans(s204, s181) | trans(s204, s182) | trans(s204, s183) | trans(s204, s184) | trans(s204, s185) | trans(s204, s186) | trans(s204, s187) | trans(s204, s188) | trans(s204, s189) | trans(s204, s190) | trans(s204, s191) | trans(s204, s192) | trans(s204, s193) | trans(s204, s194) | trans(s204, s195) | trans(s204, s196) | trans(s204, s197) | trans(s204, s198) | trans(s204, s199)) | trans(s204, s200))),
% 7.71/6.56 inference(monotonicity,[status(thm)],[25309])).
% 7.71/6.56 tff(25311,plain,
% 7.71/6.56 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) | trans(s204, s149)) | trans(s204, s150)) | trans(s204, s151)) | trans(s204, s152)) | trans(s204, s153)) | trans(s204, s154)) | trans(s204, s155)) | trans(s204, s156)) | trans(s204, s157)) | trans(s204, s158)) | trans(s204, s159)) | trans(s204, s160)) | trans(s204, s161)) | trans(s204, s162)) | trans(s204, s163)) | trans(s204, s164)) | trans(s204, s165)) | trans(s204, s166)) | trans(s204, s167)) | trans(s204, s168)) | trans(s204, s169)) | trans(s204, s170)) | trans(s204, s171)) | trans(s204, s172)) | trans(s204, s173)) | trans(s204, s174)) | trans(s204, s175)) | trans(s204, s176)) | trans(s204, s177)) | trans(s204, s178)) | trans(s204, s179)) | trans(s204, s180)) | trans(s204, s181)) | trans(s204, s182)) | trans(s204, s183)) | trans(s204, s184)) | trans(s204, s185)) | trans(s204, s186)) | trans(s204, s187)) | trans(s204, s188)) | trans(s204, s189)) | trans(s204, s190)) | trans(s204, s191)) | trans(s204, s192)) | trans(s204, s193)) | trans(s204, s194)) | trans(s204, s195)) | trans(s204, s196)) | trans(s204, s197)) | trans(s204, s198)) | trans(s204, s199)) | trans(s204, s200)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179) | trans(s204, s180) | trans(s204, s181) | trans(s204, s182) | trans(s204, s183) | trans(s204, s184) | trans(s204, s185) | trans(s204, s186) | trans(s204, s187) | trans(s204, s188) | trans(s204, s189) | trans(s204, s190) | trans(s204, s191) | trans(s204, s192) | trans(s204, s193) | trans(s204, s194) | trans(s204, s195) | trans(s204, s196) | trans(s204, s197) | trans(s204, s198) | trans(s204, s199) | trans(s204, s200))),
% 7.71/6.56 inference(transitivity,[status(thm)],[25310, 24714])).
% 7.71/6.56 tff(25312,plain,
% 7.71/6.56 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) | trans(s204, s149)) | trans(s204, s150)) | trans(s204, s151)) | trans(s204, s152)) | trans(s204, s153)) | trans(s204, s154)) | trans(s204, s155)) | trans(s204, s156)) | trans(s204, s157)) | trans(s204, s158)) | trans(s204, s159)) | trans(s204, s160)) | trans(s204, s161)) | trans(s204, s162)) | trans(s204, s163)) | trans(s204, s164)) | trans(s204, s165)) | trans(s204, s166)) | trans(s204, s167)) | trans(s204, s168)) | trans(s204, s169)) | trans(s204, s170)) | trans(s204, s171)) | trans(s204, s172)) | trans(s204, s173)) | trans(s204, s174)) | trans(s204, s175)) | trans(s204, s176)) | trans(s204, s177)) | trans(s204, s178)) | trans(s204, s179)) | trans(s204, s180)) | trans(s204, s181)) | trans(s204, s182)) | trans(s204, s183)) | trans(s204, s184)) | trans(s204, s185)) | trans(s204, s186)) | trans(s204, s187)) | trans(s204, s188)) | trans(s204, s189)) | trans(s204, s190)) | trans(s204, s191)) | trans(s204, s192)) | trans(s204, s193)) | trans(s204, s194)) | trans(s204, s195)) | trans(s204, s196)) | trans(s204, s197)) | trans(s204, s198)) | trans(s204, s199)) | trans(s204, s200)) | trans(s204, s201)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179) | trans(s204, s180) | trans(s204, s181) | trans(s204, s182) | trans(s204, s183) | trans(s204, s184) | trans(s204, s185) | trans(s204, s186) | trans(s204, s187) | trans(s204, s188) | trans(s204, s189) | trans(s204, s190) | trans(s204, s191) | trans(s204, s192) | trans(s204, s193) | trans(s204, s194) | trans(s204, s195) | trans(s204, s196) | trans(s204, s197) | trans(s204, s198) | trans(s204, s199) | trans(s204, s200)) | trans(s204, s201))),
% 7.71/6.57 inference(monotonicity,[status(thm)],[25311])).
% 7.71/6.57 tff(25313,plain,
% 7.71/6.57 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) | trans(s204, s149)) | trans(s204, s150)) | trans(s204, s151)) | trans(s204, s152)) | trans(s204, s153)) | trans(s204, s154)) | trans(s204, s155)) | trans(s204, s156)) | trans(s204, s157)) | trans(s204, s158)) | trans(s204, s159)) | trans(s204, s160)) | trans(s204, s161)) | trans(s204, s162)) | trans(s204, s163)) | trans(s204, s164)) | trans(s204, s165)) | trans(s204, s166)) | trans(s204, s167)) | trans(s204, s168)) | trans(s204, s169)) | trans(s204, s170)) | trans(s204, s171)) | trans(s204, s172)) | trans(s204, s173)) | trans(s204, s174)) | trans(s204, s175)) | trans(s204, s176)) | trans(s204, s177)) | trans(s204, s178)) | trans(s204, s179)) | trans(s204, s180)) | trans(s204, s181)) | trans(s204, s182)) | trans(s204, s183)) | trans(s204, s184)) | trans(s204, s185)) | trans(s204, s186)) | trans(s204, s187)) | trans(s204, s188)) | trans(s204, s189)) | trans(s204, s190)) | trans(s204, s191)) | trans(s204, s192)) | trans(s204, s193)) | trans(s204, s194)) | trans(s204, s195)) | trans(s204, s196)) | trans(s204, s197)) | trans(s204, s198)) | trans(s204, s199)) | trans(s204, s200)) | trans(s204, s201)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179) | trans(s204, s180) | trans(s204, s181) | trans(s204, s182) | trans(s204, s183) | trans(s204, s184) | trans(s204, s185) | trans(s204, s186) | trans(s204, s187) | trans(s204, s188) | trans(s204, s189) | trans(s204, s190) | trans(s204, s191) | trans(s204, s192) | trans(s204, s193) | trans(s204, s194) | trans(s204, s195) | trans(s204, s196) | trans(s204, s197) | trans(s204, s198) | trans(s204, s199) | trans(s204, s200) | trans(s204, s201))),
% 7.71/6.58 inference(transitivity,[status(thm)],[25312, 24713])).
% 7.71/6.58 tff(25314,plain,
% 7.71/6.58 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) | trans(s204, s149)) | trans(s204, s150)) | trans(s204, s151)) | trans(s204, s152)) | trans(s204, s153)) | trans(s204, s154)) | trans(s204, s155)) | trans(s204, s156)) | trans(s204, s157)) | trans(s204, s158)) | trans(s204, s159)) | trans(s204, s160)) | trans(s204, s161)) | trans(s204, s162)) | trans(s204, s163)) | trans(s204, s164)) | trans(s204, s165)) | trans(s204, s166)) | trans(s204, s167)) | trans(s204, s168)) | trans(s204, s169)) | trans(s204, s170)) | trans(s204, s171)) | trans(s204, s172)) | trans(s204, s173)) | trans(s204, s174)) | trans(s204, s175)) | trans(s204, s176)) | trans(s204, s177)) | trans(s204, s178)) | trans(s204, s179)) | trans(s204, s180)) | trans(s204, s181)) | trans(s204, s182)) | trans(s204, s183)) | trans(s204, s184)) | trans(s204, s185)) | trans(s204, s186)) | trans(s204, s187)) | trans(s204, s188)) | trans(s204, s189)) | trans(s204, s190)) | trans(s204, s191)) | trans(s204, s192)) | trans(s204, s193)) | trans(s204, s194)) | trans(s204, s195)) | trans(s204, s196)) | trans(s204, s197)) | trans(s204, s198)) | trans(s204, s199)) | trans(s204, s200)) | trans(s204, s201)) | trans(s204, s202)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179) | trans(s204, s180) | trans(s204, s181) | trans(s204, s182) | trans(s204, s183) | trans(s204, s184) | trans(s204, s185) | trans(s204, s186) | trans(s204, s187) | trans(s204, s188) | trans(s204, s189) | trans(s204, s190) | trans(s204, s191) | trans(s204, s192) | trans(s204, s193) | trans(s204, s194) | trans(s204, s195) | trans(s204, s196) | trans(s204, s197) | trans(s204, s198) | trans(s204, s199) | trans(s204, s200) | trans(s204, s201)) | trans(s204, s202))),
% 7.71/6.58 inference(monotonicity,[status(thm)],[25313])).
% 7.71/6.58 tff(25315,plain,
% 7.71/6.58 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) | trans(s204, s149)) | trans(s204, s150)) | trans(s204, s151)) | trans(s204, s152)) | trans(s204, s153)) | trans(s204, s154)) | trans(s204, s155)) | trans(s204, s156)) | trans(s204, s157)) | trans(s204, s158)) | trans(s204, s159)) | trans(s204, s160)) | trans(s204, s161)) | trans(s204, s162)) | trans(s204, s163)) | trans(s204, s164)) | trans(s204, s165)) | trans(s204, s166)) | trans(s204, s167)) | trans(s204, s168)) | trans(s204, s169)) | trans(s204, s170)) | trans(s204, s171)) | trans(s204, s172)) | trans(s204, s173)) | trans(s204, s174)) | trans(s204, s175)) | trans(s204, s176)) | trans(s204, s177)) | trans(s204, s178)) | trans(s204, s179)) | trans(s204, s180)) | trans(s204, s181)) | trans(s204, s182)) | trans(s204, s183)) | trans(s204, s184)) | trans(s204, s185)) | trans(s204, s186)) | trans(s204, s187)) | trans(s204, s188)) | trans(s204, s189)) | trans(s204, s190)) | trans(s204, s191)) | trans(s204, s192)) | trans(s204, s193)) | trans(s204, s194)) | trans(s204, s195)) | trans(s204, s196)) | trans(s204, s197)) | trans(s204, s198)) | trans(s204, s199)) | trans(s204, s200)) | trans(s204, s201)) | trans(s204, s202)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179) | trans(s204, s180) | trans(s204, s181) | trans(s204, s182) | trans(s204, s183) | trans(s204, s184) | trans(s204, s185) | trans(s204, s186) | trans(s204, s187) | trans(s204, s188) | trans(s204, s189) | trans(s204, s190) | trans(s204, s191) | trans(s204, s192) | trans(s204, s193) | trans(s204, s194) | trans(s204, s195) | trans(s204, s196) | trans(s204, s197) | trans(s204, s198) | trans(s204, s199) | trans(s204, s200) | trans(s204, s201) | trans(s204, s202))),
% 7.71/6.59 inference(transitivity,[status(thm)],[25314, 24712])).
% 7.71/6.59 tff(25316,plain,
% 7.71/6.59 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) | trans(s204, s149)) | trans(s204, s150)) | trans(s204, s151)) | trans(s204, s152)) | trans(s204, s153)) | trans(s204, s154)) | trans(s204, s155)) | trans(s204, s156)) | trans(s204, s157)) | trans(s204, s158)) | trans(s204, s159)) | trans(s204, s160)) | trans(s204, s161)) | trans(s204, s162)) | trans(s204, s163)) | trans(s204, s164)) | trans(s204, s165)) | trans(s204, s166)) | trans(s204, s167)) | trans(s204, s168)) | trans(s204, s169)) | trans(s204, s170)) | trans(s204, s171)) | trans(s204, s172)) | trans(s204, s173)) | trans(s204, s174)) | trans(s204, s175)) | trans(s204, s176)) | trans(s204, s177)) | trans(s204, s178)) | trans(s204, s179)) | trans(s204, s180)) | trans(s204, s181)) | trans(s204, s182)) | trans(s204, s183)) | trans(s204, s184)) | trans(s204, s185)) | trans(s204, s186)) | trans(s204, s187)) | trans(s204, s188)) | trans(s204, s189)) | trans(s204, s190)) | trans(s204, s191)) | trans(s204, s192)) | trans(s204, s193)) | trans(s204, s194)) | trans(s204, s195)) | trans(s204, s196)) | trans(s204, s197)) | trans(s204, s198)) | trans(s204, s199)) | trans(s204, s200)) | trans(s204, s201)) | trans(s204, s202)) | trans(s204, s203)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179) | trans(s204, s180) | trans(s204, s181) | trans(s204, s182) | trans(s204, s183) | trans(s204, s184) | trans(s204, s185) | trans(s204, s186) | trans(s204, s187) | trans(s204, s188) | trans(s204, s189) | trans(s204, s190) | trans(s204, s191) | trans(s204, s192) | trans(s204, s193) | trans(s204, s194) | trans(s204, s195) | trans(s204, s196) | trans(s204, s197) | trans(s204, s198) | trans(s204, s199) | trans(s204, s200) | trans(s204, s201) | trans(s204, s202)) | trans(s204, s203))),
% 7.71/6.59 inference(monotonicity,[status(thm)],[25315])).
% 7.71/6.59 tff(25317,plain,
% 7.71/6.59 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) | trans(s204, s149)) | trans(s204, s150)) | trans(s204, s151)) | trans(s204, s152)) | trans(s204, s153)) | trans(s204, s154)) | trans(s204, s155)) | trans(s204, s156)) | trans(s204, s157)) | trans(s204, s158)) | trans(s204, s159)) | trans(s204, s160)) | trans(s204, s161)) | trans(s204, s162)) | trans(s204, s163)) | trans(s204, s164)) | trans(s204, s165)) | trans(s204, s166)) | trans(s204, s167)) | trans(s204, s168)) | trans(s204, s169)) | trans(s204, s170)) | trans(s204, s171)) | trans(s204, s172)) | trans(s204, s173)) | trans(s204, s174)) | trans(s204, s175)) | trans(s204, s176)) | trans(s204, s177)) | trans(s204, s178)) | trans(s204, s179)) | trans(s204, s180)) | trans(s204, s181)) | trans(s204, s182)) | trans(s204, s183)) | trans(s204, s184)) | trans(s204, s185)) | trans(s204, s186)) | trans(s204, s187)) | trans(s204, s188)) | trans(s204, s189)) | trans(s204, s190)) | trans(s204, s191)) | trans(s204, s192)) | trans(s204, s193)) | trans(s204, s194)) | trans(s204, s195)) | trans(s204, s196)) | trans(s204, s197)) | trans(s204, s198)) | trans(s204, s199)) | trans(s204, s200)) | trans(s204, s201)) | trans(s204, s202)) | trans(s204, s203)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179) | trans(s204, s180) | trans(s204, s181) | trans(s204, s182) | trans(s204, s183) | trans(s204, s184) | trans(s204, s185) | trans(s204, s186) | trans(s204, s187) | trans(s204, s188) | trans(s204, s189) | trans(s204, s190) | trans(s204, s191) | trans(s204, s192) | trans(s204, s193) | trans(s204, s194) | trans(s204, s195) | trans(s204, s196) | trans(s204, s197) | trans(s204, s198) | trans(s204, s199) | trans(s204, s200) | trans(s204, s201) | trans(s204, s202) | trans(s204, s203))),
% 7.71/6.60 inference(transitivity,[status(thm)],[25316, 24711])).
% 7.71/6.60 tff(25318,plain,
% 7.71/6.60 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) | trans(s204, s149)) | trans(s204, s150)) | trans(s204, s151)) | trans(s204, s152)) | trans(s204, s153)) | trans(s204, s154)) | trans(s204, s155)) | trans(s204, s156)) | trans(s204, s157)) | trans(s204, s158)) | trans(s204, s159)) | trans(s204, s160)) | trans(s204, s161)) | trans(s204, s162)) | trans(s204, s163)) | trans(s204, s164)) | trans(s204, s165)) | trans(s204, s166)) | trans(s204, s167)) | trans(s204, s168)) | trans(s204, s169)) | trans(s204, s170)) | trans(s204, s171)) | trans(s204, s172)) | trans(s204, s173)) | trans(s204, s174)) | trans(s204, s175)) | trans(s204, s176)) | trans(s204, s177)) | trans(s204, s178)) | trans(s204, s179)) | trans(s204, s180)) | trans(s204, s181)) | trans(s204, s182)) | trans(s204, s183)) | trans(s204, s184)) | trans(s204, s185)) | trans(s204, s186)) | trans(s204, s187)) | trans(s204, s188)) | trans(s204, s189)) | trans(s204, s190)) | trans(s204, s191)) | trans(s204, s192)) | trans(s204, s193)) | trans(s204, s194)) | trans(s204, s195)) | trans(s204, s196)) | trans(s204, s197)) | trans(s204, s198)) | trans(s204, s199)) | trans(s204, s200)) | trans(s204, s201)) | trans(s204, s202)) | trans(s204, s203)) | trans(s204, s204)) <=> (((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179) | trans(s204, s180) | trans(s204, s181) | trans(s204, s182) | trans(s204, s183) | trans(s204, s184) | trans(s204, s185) | trans(s204, s186) | trans(s204, s187) | trans(s204, s188) | trans(s204, s189) | trans(s204, s190) | trans(s204, s191) | trans(s204, s192) | trans(s204, s193) | trans(s204, s194) | trans(s204, s195) | trans(s204, s196) | trans(s204, s197) | trans(s204, s198) | trans(s204, s199) | trans(s204, s200) | trans(s204, s201) | trans(s204, s202) | trans(s204, s203)) | trans(s204, s204))),
% 7.71/6.61 inference(monotonicity,[status(thm)],[25317])).
% 7.71/6.61 tff(25319,plain,
% 7.71/6.61 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) | trans(s204, s149)) | trans(s204, s150)) | trans(s204, s151)) | trans(s204, s152)) | trans(s204, s153)) | trans(s204, s154)) | trans(s204, s155)) | trans(s204, s156)) | trans(s204, s157)) | trans(s204, s158)) | trans(s204, s159)) | trans(s204, s160)) | trans(s204, s161)) | trans(s204, s162)) | trans(s204, s163)) | trans(s204, s164)) | trans(s204, s165)) | trans(s204, s166)) | trans(s204, s167)) | trans(s204, s168)) | trans(s204, s169)) | trans(s204, s170)) | trans(s204, s171)) | trans(s204, s172)) | trans(s204, s173)) | trans(s204, s174)) | trans(s204, s175)) | trans(s204, s176)) | trans(s204, s177)) | trans(s204, s178)) | trans(s204, s179)) | trans(s204, s180)) | trans(s204, s181)) | trans(s204, s182)) | trans(s204, s183)) | trans(s204, s184)) | trans(s204, s185)) | trans(s204, s186)) | trans(s204, s187)) | trans(s204, s188)) | trans(s204, s189)) | trans(s204, s190)) | trans(s204, s191)) | trans(s204, s192)) | trans(s204, s193)) | trans(s204, s194)) | trans(s204, s195)) | trans(s204, s196)) | trans(s204, s197)) | trans(s204, s198)) | trans(s204, s199)) | trans(s204, s200)) | trans(s204, s201)) | trans(s204, s202)) | trans(s204, s203)) | trans(s204, s204)) <=> ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179) | trans(s204, s180) | trans(s204, s181) | trans(s204, s182) | trans(s204, s183) | trans(s204, s184) | trans(s204, s185) | trans(s204, s186) | trans(s204, s187) | trans(s204, s188) | trans(s204, s189) | trans(s204, s190) | trans(s204, s191) | trans(s204, s192) | trans(s204, s193) | trans(s204, s194) | trans(s204, s195) | trans(s204, s196) | trans(s204, s197) | trans(s204, s198) | trans(s204, s199) | trans(s204, s200) | trans(s204, s201) | trans(s204, s202) | trans(s204, s203) | trans(s204, s204))),
% 7.71/6.61 inference(transitivity,[status(thm)],[25318, 24710])).
% 7.71/6.61 tff(25320,axiom,((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s204, s0)) | trans(s204, s1)) | trans(s204, s2)) | trans(s204, s3)) | trans(s204, s4)) | trans(s204, s5)) | trans(s204, s6)) | trans(s204, s7)) | trans(s204, s8)) | trans(s204, s9)) | trans(s204, s10)) | trans(s204, s11)) | trans(s204, s12)) | trans(s204, s13)) | trans(s204, s14)) | trans(s204, s15)) | trans(s204, s16)) | trans(s204, s17)) | trans(s204, s18)) | trans(s204, s19)) | trans(s204, s20)) | trans(s204, s21)) | trans(s204, s22)) | trans(s204, s23)) | trans(s204, s24)) | trans(s204, s25)) | trans(s204, s26)) | trans(s204, s27)) | trans(s204, s28)) | trans(s204, s29)) | trans(s204, s30)) | trans(s204, s31)) | trans(s204, s32)) | trans(s204, s33)) | trans(s204, s34)) | trans(s204, s35)) | trans(s204, s36)) | trans(s204, s37)) | trans(s204, s38)) | trans(s204, s39)) | trans(s204, s40)) | trans(s204, s41)) | trans(s204, s42)) | trans(s204, s43)) | trans(s204, s44)) | trans(s204, s45)) | trans(s204, s46)) | trans(s204, s47)) | trans(s204, s48)) | trans(s204, s49)) | trans(s204, s50)) | trans(s204, s51)) | trans(s204, s52)) | trans(s204, s53)) | trans(s204, s54)) | trans(s204, s55)) | trans(s204, s56)) | trans(s204, s57)) | trans(s204, s58)) | trans(s204, s59)) | trans(s204, s60)) | trans(s204, s61)) | trans(s204, s62)) | trans(s204, s63)) | trans(s204, s64)) | trans(s204, s65)) | trans(s204, s66)) | trans(s204, s67)) | trans(s204, s68)) | trans(s204, s69)) | trans(s204, s70)) | trans(s204, s71)) | trans(s204, s72)) | trans(s204, s73)) | trans(s204, s74)) | trans(s204, s75)) | trans(s204, s76)) | trans(s204, s77)) | trans(s204, s78)) | trans(s204, s79)) | trans(s204, s80)) | trans(s204, s81)) | trans(s204, s82)) | trans(s204, s83)) | trans(s204, s84)) | trans(s204, s85)) | trans(s204, s86)) | trans(s204, s87)) | trans(s204, s88)) | trans(s204, s89)) | trans(s204, s90)) | trans(s204, s91)) | trans(s204, s92)) | trans(s204, s93)) | trans(s204, s94)) | trans(s204, s95)) | trans(s204, s96)) | trans(s204, s97)) | trans(s204, s98)) | trans(s204, s99)) | trans(s204, s100)) | trans(s204, s101)) | trans(s204, s102)) | trans(s204, s103)) | trans(s204, s104)) | trans(s204, s105)) | trans(s204, s106)) | trans(s204, s107)) | trans(s204, s108)) | trans(s204, s109)) | trans(s204, s110)) | trans(s204, s111)) | trans(s204, s112)) | trans(s204, s113)) | trans(s204, s114)) | trans(s204, s115)) | trans(s204, s116)) | trans(s204, s117)) | trans(s204, s118)) | trans(s204, s119)) | trans(s204, s120)) | trans(s204, s121)) | trans(s204, s122)) | trans(s204, s123)) | trans(s204, s124)) | trans(s204, s125)) | trans(s204, s126)) | trans(s204, s127)) | trans(s204, s128)) | trans(s204, s129)) | trans(s204, s130)) | trans(s204, s131)) | trans(s204, s132)) | trans(s204, s133)) | trans(s204, s134)) | trans(s204, s135)) | trans(s204, s136)) | trans(s204, s137)) | trans(s204, s138)) | trans(s204, s139)) | trans(s204, s140)) | trans(s204, s141)) | trans(s204, s142)) | trans(s204, s143)) | trans(s204, s144)) | trans(s204, s145)) | trans(s204, s146)) | trans(s204, s147)) | trans(s204, s148)) | trans(s204, s149)) | trans(s204, s150)) | trans(s204, s151)) | trans(s204, s152)) | trans(s204, s153)) | trans(s204, s154)) | trans(s204, s155)) | trans(s204, s156)) | trans(s204, s157)) | trans(s204, s158)) | trans(s204, s159)) | trans(s204, s160)) | trans(s204, s161)) | trans(s204, s162)) | trans(s204, s163)) | trans(s204, s164)) | trans(s204, s165)) | trans(s204, s166)) | trans(s204, s167)) | trans(s204, s168)) | trans(s204, s169)) | trans(s204, s170)) | trans(s204, s171)) | trans(s204, s172)) | trans(s204, s173)) | trans(s204, s174)) | trans(s204, s175)) | trans(s204, s176)) | trans(s204, s177)) | trans(s204, s178)) | trans(s204, s179)) | trans(s204, s180)) | trans(s204, s181)) | trans(s204, s182)) | trans(s204, s183)) | trans(s204, s184)) | trans(s204, s185)) | trans(s204, s186)) | trans(s204, s187)) | trans(s204, s188)) | trans(s204, s189)) | trans(s204, s190)) | trans(s204, s191)) | trans(s204, s192)) | trans(s204, s193)) | trans(s204, s194)) | trans(s204, s195)) | trans(s204, s196)) | trans(s204, s197)) | trans(s204, s198)) | trans(s204, s199)) | trans(s204, s200)) | trans(s204, s201)) | trans(s204, s202)) | trans(s204, s203)) | trans(s204, s204)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bound207')).
% 7.78/6.62 tff(25321,plain,
% 7.78/6.62 ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179) | trans(s204, s180) | trans(s204, s181) | trans(s204, s182) | trans(s204, s183) | trans(s204, s184) | trans(s204, s185) | trans(s204, s186) | trans(s204, s187) | trans(s204, s188) | trans(s204, s189) | trans(s204, s190) | trans(s204, s191) | trans(s204, s192) | trans(s204, s193) | trans(s204, s194) | trans(s204, s195) | trans(s204, s196) | trans(s204, s197) | trans(s204, s198) | trans(s204, s199) | trans(s204, s200) | trans(s204, s201) | trans(s204, s202) | trans(s204, s203) | trans(s204, s204)),
% 7.78/6.62 inference(modus_ponens,[status(thm)],[25320, 25319])).
% 7.78/6.62 tff(25322,plain,
% 7.78/6.62 ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179) | trans(s204, s180) | trans(s204, s181) | trans(s204, s182) | trans(s204, s183) | trans(s204, s184) | trans(s204, s185) | trans(s204, s186) | trans(s204, s187) | trans(s204, s188) | trans(s204, s189) | trans(s204, s190) | trans(s204, s191) | trans(s204, s192) | trans(s204, s193) | trans(s204, s194) | trans(s204, s195) | trans(s204, s196) | trans(s204, s197) | trans(s204, s198) | trans(s204, s199) | trans(s204, s200) | trans(s204, s201) | trans(s204, s202) | trans(s204, s203) | trans(s204, s204)),
% 7.78/6.63 inference(modus_ponens,[status(thm)],[25321, 24709])).
% 7.78/6.63 tff(25323,plain,
% 7.78/6.63 ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179) | trans(s204, s180) | trans(s204, s181) | trans(s204, s182) | trans(s204, s183) | trans(s204, s184) | trans(s204, s185) | trans(s204, s186) | trans(s204, s187) | trans(s204, s188) | trans(s204, s189) | trans(s204, s190) | trans(s204, s191) | trans(s204, s192) | trans(s204, s193) | trans(s204, s194) | trans(s204, s195) | trans(s204, s196) | trans(s204, s197) | trans(s204, s198) | trans(s204, s199) | trans(s204, s200) | trans(s204, s201) | trans(s204, s202) | trans(s204, s203) | trans(s204, s204)),
% 7.78/6.63 inference(modus_ponens,[status(thm)],[25322, 24709])).
% 7.78/6.63 tff(25324,plain,
% 7.78/6.63 ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179) | trans(s204, s180) | trans(s204, s181) | trans(s204, s182) | trans(s204, s183) | trans(s204, s184) | trans(s204, s185) | trans(s204, s186) | trans(s204, s187) | trans(s204, s188) | trans(s204, s189) | trans(s204, s190) | trans(s204, s191) | trans(s204, s192) | trans(s204, s193) | trans(s204, s194) | trans(s204, s195) | trans(s204, s196) | trans(s204, s197) | trans(s204, s198) | trans(s204, s199) | trans(s204, s200) | trans(s204, s201) | trans(s204, s202) | trans(s204, s203) | trans(s204, s204)),
% 7.78/6.63 inference(modus_ponens,[status(thm)],[25323, 24709])).
% 7.78/6.63 tff(25325,plain,
% 7.78/6.63 ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179) | trans(s204, s180) | trans(s204, s181) | trans(s204, s182) | trans(s204, s183) | trans(s204, s184) | trans(s204, s185) | trans(s204, s186) | trans(s204, s187) | trans(s204, s188) | trans(s204, s189) | trans(s204, s190) | trans(s204, s191) | trans(s204, s192) | trans(s204, s193) | trans(s204, s194) | trans(s204, s195) | trans(s204, s196) | trans(s204, s197) | trans(s204, s198) | trans(s204, s199) | trans(s204, s200) | trans(s204, s201) | trans(s204, s202) | trans(s204, s203) | trans(s204, s204)),
% 7.78/6.64 inference(modus_ponens,[status(thm)],[25324, 24709])).
% 7.78/6.64 tff(25326,plain,
% 7.78/6.64 ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179) | trans(s204, s180) | trans(s204, s181) | trans(s204, s182) | trans(s204, s183) | trans(s204, s184) | trans(s204, s185) | trans(s204, s186) | trans(s204, s187) | trans(s204, s188) | trans(s204, s189) | trans(s204, s190) | trans(s204, s191) | trans(s204, s192) | trans(s204, s193) | trans(s204, s194) | trans(s204, s195) | trans(s204, s196) | trans(s204, s197) | trans(s204, s198) | trans(s204, s199) | trans(s204, s200) | trans(s204, s201) | trans(s204, s202) | trans(s204, s203) | trans(s204, s204)),
% 7.78/6.64 inference(modus_ponens,[status(thm)],[25325, 24709])).
% 7.78/6.64 tff(25327,plain,
% 7.78/6.64 ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179) | trans(s204, s180) | trans(s204, s181) | trans(s204, s182) | trans(s204, s183) | trans(s204, s184) | trans(s204, s185) | trans(s204, s186) | trans(s204, s187) | trans(s204, s188) | trans(s204, s189) | trans(s204, s190) | trans(s204, s191) | trans(s204, s192) | trans(s204, s193) | trans(s204, s194) | trans(s204, s195) | trans(s204, s196) | trans(s204, s197) | trans(s204, s198) | trans(s204, s199) | trans(s204, s200) | trans(s204, s201) | trans(s204, s202) | trans(s204, s203) | trans(s204, s204)),
% 7.78/6.64 inference(modus_ponens,[status(thm)],[25326, 24709])).
% 7.78/6.64 tff(25328,plain,
% 7.78/6.64 ((~loop) | trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179) | trans(s204, s180) | trans(s204, s181) | trans(s204, s182) | trans(s204, s183) | trans(s204, s184) | trans(s204, s185) | trans(s204, s186) | trans(s204, s187) | trans(s204, s188) | trans(s204, s189) | trans(s204, s190) | trans(s204, s191) | trans(s204, s192) | trans(s204, s193) | trans(s204, s194) | trans(s204, s195) | trans(s204, s196) | trans(s204, s197) | trans(s204, s198) | trans(s204, s199) | trans(s204, s200) | trans(s204, s201) | trans(s204, s202) | trans(s204, s203) | trans(s204, s204)),
% 7.78/6.64 inference(modus_ponens,[status(thm)],[25327, 24709])).
% 7.78/6.64 tff(25329,plain,
% 7.78/6.64 (trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s41) | trans(s204, s42) | trans(s204, s43) | trans(s204, s44) | trans(s204, s45) | trans(s204, s46) | trans(s204, s47) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179) | trans(s204, s180) | trans(s204, s181) | trans(s204, s182) | trans(s204, s183) | trans(s204, s184) | trans(s204, s185) | trans(s204, s186) | trans(s204, s187) | trans(s204, s188) | trans(s204, s189) | trans(s204, s190) | trans(s204, s191) | trans(s204, s192) | trans(s204, s193) | trans(s204, s194) | trans(s204, s195) | trans(s204, s196) | trans(s204, s197) | trans(s204, s198) | trans(s204, s199) | trans(s204, s200) | trans(s204, s201) | trans(s204, s202) | trans(s204, s203) | trans(s204, s204)),
% 7.78/6.65 inference(unit_resolution,[status(thm)],[25328, 24708])).
% 7.78/6.65 tff(25330,plain,
% 7.78/6.65 (trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s31) | trans(s204, s32) | trans(s204, s33) | trans(s204, s34) | trans(s204, s35) | trans(s204, s36) | trans(s204, s37) | trans(s204, s38) | trans(s204, s39) | trans(s204, s40) | trans(s204, s42) | trans(s204, s44) | trans(s204, s46) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179) | trans(s204, s180) | trans(s204, s181) | trans(s204, s182) | trans(s204, s183) | trans(s204, s184) | trans(s204, s185) | trans(s204, s186) | trans(s204, s187) | trans(s204, s188) | trans(s204, s189) | trans(s204, s190) | trans(s204, s191) | trans(s204, s192) | trans(s204, s193) | trans(s204, s194) | trans(s204, s195) | trans(s204, s196) | trans(s204, s197) | trans(s204, s198) | trans(s204, s199) | trans(s204, s200) | trans(s204, s201) | trans(s204, s202) | trans(s204, s203) | trans(s204, s204)),
% 7.78/6.65 inference(unit_resolution,[status(thm)],[25329, 24693, 24684, 24675, 24666])).
% 7.78/6.65 tff(25331,plain,
% 7.78/6.65 (trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s21) | trans(s204, s22) | trans(s204, s23) | trans(s204, s24) | trans(s204, s25) | trans(s204, s26) | trans(s204, s27) | trans(s204, s28) | trans(s204, s29) | trans(s204, s30) | trans(s204, s32) | trans(s204, s34) | trans(s204, s36) | trans(s204, s38) | trans(s204, s40) | trans(s204, s42) | trans(s204, s44) | trans(s204, s46) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179) | trans(s204, s180) | trans(s204, s181) | trans(s204, s182) | trans(s204, s183) | trans(s204, s184) | trans(s204, s185) | trans(s204, s186) | trans(s204, s187) | trans(s204, s188) | trans(s204, s189) | trans(s204, s190) | trans(s204, s191) | trans(s204, s192) | trans(s204, s193) | trans(s204, s194) | trans(s204, s195) | trans(s204, s196) | trans(s204, s197) | trans(s204, s198) | trans(s204, s199) | trans(s204, s200) | trans(s204, s201) | trans(s204, s202) | trans(s204, s203) | trans(s204, s204)),
% 7.78/6.65 inference(unit_resolution,[status(thm)],[25330, 24657, 24648, 24639, 24630, 24621])).
% 7.78/6.65 tff(25332,plain,
% 7.78/6.65 (trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s14) | trans(s204, s15) | trans(s204, s16) | trans(s204, s17) | trans(s204, s18) | trans(s204, s19) | trans(s204, s20) | trans(s204, s22) | trans(s204, s24) | trans(s204, s26) | trans(s204, s28) | trans(s204, s30) | trans(s204, s32) | trans(s204, s34) | trans(s204, s36) | trans(s204, s38) | trans(s204, s40) | trans(s204, s42) | trans(s204, s44) | trans(s204, s46) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179) | trans(s204, s180) | trans(s204, s181) | trans(s204, s182) | trans(s204, s183) | trans(s204, s184) | trans(s204, s185) | trans(s204, s186) | trans(s204, s187) | trans(s204, s188) | trans(s204, s189) | trans(s204, s190) | trans(s204, s191) | trans(s204, s192) | trans(s204, s193) | trans(s204, s194) | trans(s204, s195) | trans(s204, s196) | trans(s204, s197) | trans(s204, s198) | trans(s204, s199) | trans(s204, s200) | trans(s204, s201) | trans(s204, s202) | trans(s204, s203) | trans(s204, s204)),
% 7.78/6.65 inference(unit_resolution,[status(thm)],[25331, 24612, 24603, 24594, 24585, 24576])).
% 7.78/6.65 tff(25333,plain,
% 7.78/6.65 (trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s16) | trans(s204, s18) | trans(s204, s20) | trans(s204, s22) | trans(s204, s24) | trans(s204, s26) | trans(s204, s28) | trans(s204, s30) | trans(s204, s32) | trans(s204, s34) | trans(s204, s36) | trans(s204, s38) | trans(s204, s40) | trans(s204, s42) | trans(s204, s44) | trans(s204, s46) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s147) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s179) | trans(s204, s180) | trans(s204, s181) | trans(s204, s182) | trans(s204, s183) | trans(s204, s184) | trans(s204, s185) | trans(s204, s186) | trans(s204, s187) | trans(s204, s188) | trans(s204, s189) | trans(s204, s190) | trans(s204, s191) | trans(s204, s192) | trans(s204, s193) | trans(s204, s194) | trans(s204, s195) | trans(s204, s196) | trans(s204, s197) | trans(s204, s198) | trans(s204, s199) | trans(s204, s200) | trans(s204, s201) | trans(s204, s202) | trans(s204, s203) | trans(s204, s204)),
% 7.78/6.66 inference(unit_resolution,[status(thm)],[25332, 24567, 24558, 24549, 24540])).
% 7.78/6.66 tff(25334,plain,
% 7.78/6.66 (trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s16) | trans(s204, s20) | trans(s204, s22) | trans(s204, s24) | trans(s204, s26) | trans(s204, s28) | trans(s204, s30) | trans(s204, s32) | trans(s204, s34) | trans(s204, s36) | trans(s204, s38) | trans(s204, s40) | trans(s204, s42) | trans(s204, s44) | trans(s204, s46) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s161) | trans(s204, s162) | trans(s204, s163) | trans(s204, s164) | trans(s204, s165) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s178) | trans(s204, s180) | trans(s204, s181) | trans(s204, s183) | trans(s204, s184) | trans(s204, s185) | trans(s204, s186) | trans(s204, s187) | trans(s204, s188) | trans(s204, s189) | trans(s204, s190) | trans(s204, s191) | trans(s204, s192) | trans(s204, s193) | trans(s204, s194) | trans(s204, s195) | trans(s204, s196) | trans(s204, s197) | trans(s204, s198) | trans(s204, s199) | trans(s204, s200) | trans(s204, s201) | trans(s204, s202) | trans(s204, s203) | trans(s204, s204)),
% 7.78/6.66 inference(unit_resolution,[status(thm)],[25333, 24531, 24522, 24513, 24504])).
% 7.78/6.66 tff(25335,plain,
% 7.78/6.66 (trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s16) | trans(s204, s20) | trans(s204, s22) | trans(s204, s24) | trans(s204, s26) | trans(s204, s28) | trans(s204, s30) | trans(s204, s32) | trans(s204, s34) | trans(s204, s36) | trans(s204, s38) | trans(s204, s40) | trans(s204, s42) | trans(s204, s44) | trans(s204, s46) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s79) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s87) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s128) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s163) | trans(s204, s164) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s180) | trans(s204, s181) | trans(s204, s183) | trans(s204, s184) | trans(s204, s185) | trans(s204, s186) | trans(s204, s187) | trans(s204, s188) | trans(s204, s189) | trans(s204, s190) | trans(s204, s191) | trans(s204, s192) | trans(s204, s193) | trans(s204, s194) | trans(s204, s195) | trans(s204, s196) | trans(s204, s197) | trans(s204, s199) | trans(s204, s200) | trans(s204, s201) | trans(s204, s202) | trans(s204, s203) | trans(s204, s204)),
% 7.78/6.66 inference(unit_resolution,[status(thm)],[25334, 24495, 24486, 24477, 24468, 24459])).
% 7.78/6.66 tff(25336,plain,
% 7.78/6.66 (trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s16) | trans(s204, s20) | trans(s204, s22) | trans(s204, s24) | trans(s204, s26) | trans(s204, s28) | trans(s204, s30) | trans(s204, s32) | trans(s204, s34) | trans(s204, s36) | trans(s204, s38) | trans(s204, s40) | trans(s204, s42) | trans(s204, s44) | trans(s204, s46) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s68) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s76) | trans(s204, s77) | trans(s204, s78) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s148) | trans(s204, s149) | trans(s204, s150) | trans(s204, s151) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s163) | trans(s204, s164) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s180) | trans(s204, s181) | trans(s204, s183) | trans(s204, s184) | trans(s204, s185) | trans(s204, s186) | trans(s204, s187) | trans(s204, s188) | trans(s204, s189) | trans(s204, s190) | trans(s204, s191) | trans(s204, s192) | trans(s204, s193) | trans(s204, s195) | trans(s204, s196) | trans(s204, s197) | trans(s204, s199) | trans(s204, s200) | trans(s204, s201) | trans(s204, s202) | trans(s204, s203) | trans(s204, s204)),
% 7.78/6.67 inference(unit_resolution,[status(thm)],[25335, 24450, 24441, 24432, 24423])).
% 7.78/6.67 tff(25337,plain,
% 7.78/6.67 (trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s16) | trans(s204, s20) | trans(s204, s22) | trans(s204, s24) | trans(s204, s26) | trans(s204, s28) | trans(s204, s30) | trans(s204, s32) | trans(s204, s34) | trans(s204, s36) | trans(s204, s38) | trans(s204, s40) | trans(s204, s42) | trans(s204, s44) | trans(s204, s46) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s59) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s77) | trans(s204, s78) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s148) | trans(s204, s149) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s163) | trans(s204, s164) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s169) | trans(s204, s170) | trans(s204, s171) | trans(s204, s172) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s180) | trans(s204, s181) | trans(s204, s183) | trans(s204, s184) | trans(s204, s185) | trans(s204, s186) | trans(s204, s187) | trans(s204, s188) | trans(s204, s190) | trans(s204, s191) | trans(s204, s192) | trans(s204, s193) | trans(s204, s195) | trans(s204, s196) | trans(s204, s197) | trans(s204, s199) | trans(s204, s200) | trans(s204, s201) | trans(s204, s202) | trans(s204, s203) | trans(s204, s204)),
% 7.78/6.67 inference(unit_resolution,[status(thm)],[25336, 24414, 24405, 24396, 24387, 24378])).
% 7.78/6.67 tff(25338,plain,
% 7.78/6.67 (trans(s204, s0) | trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s16) | trans(s204, s20) | trans(s204, s22) | trans(s204, s24) | trans(s204, s26) | trans(s204, s28) | trans(s204, s30) | trans(s204, s32) | trans(s204, s34) | trans(s204, s36) | trans(s204, s38) | trans(s204, s40) | trans(s204, s42) | trans(s204, s44) | trans(s204, s46) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s60) | trans(s204, s61) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s78) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s148) | trans(s204, s149) | trans(s204, s152) | trans(s204, s153) | trans(s204, s154) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s163) | trans(s204, s164) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s170) | trans(s204, s171) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s180) | trans(s204, s183) | trans(s204, s184) | trans(s204, s185) | trans(s204, s186) | trans(s204, s187) | trans(s204, s188) | trans(s204, s190) | trans(s204, s191) | trans(s204, s192) | trans(s204, s193) | trans(s204, s195) | trans(s204, s196) | trans(s204, s197) | trans(s204, s199) | trans(s204, s200) | trans(s204, s201) | trans(s204, s202) | trans(s204, s203) | trans(s204, s204)),
% 7.78/6.67 inference(unit_resolution,[status(thm)],[25337, 24369, 24360, 24351, 24342, 24333])).
% 7.78/6.67 tff(25339,plain,
% 7.78/6.67 (trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s16) | trans(s204, s20) | trans(s204, s22) | trans(s204, s24) | trans(s204, s26) | trans(s204, s28) | trans(s204, s30) | trans(s204, s32) | trans(s204, s34) | trans(s204, s36) | trans(s204, s38) | trans(s204, s40) | trans(s204, s42) | trans(s204, s44) | trans(s204, s46) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s60) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s78) | trans(s204, s80) | trans(s204, s81) | trans(s204, s82) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s125) | trans(s204, s126) | trans(s204, s127) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s140) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s144) | trans(s204, s145) | trans(s204, s146) | trans(s204, s148) | trans(s204, s149) | trans(s204, s152) | trans(s204, s153) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s170) | trans(s204, s171) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s180) | trans(s204, s183) | trans(s204, s184) | trans(s204, s185) | trans(s204, s186) | trans(s204, s187) | trans(s204, s188) | trans(s204, s190) | trans(s204, s191) | trans(s204, s192) | trans(s204, s193) | trans(s204, s195) | trans(s204, s196) | trans(s204, s197) | trans(s204, s199) | trans(s204, s200) | trans(s204, s201) | trans(s204, s202) | trans(s204, s203) | trans(s204, s204)),
% 7.78/6.67 inference(unit_resolution,[status(thm)],[25338, 24324, 24315, 24306, 24287, 24278])).
% 7.78/6.67 tff(25340,plain,
% 7.78/6.67 (trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s16) | trans(s204, s20) | trans(s204, s22) | trans(s204, s24) | trans(s204, s26) | trans(s204, s28) | trans(s204, s30) | trans(s204, s32) | trans(s204, s34) | trans(s204, s36) | trans(s204, s38) | trans(s204, s40) | trans(s204, s42) | trans(s204, s44) | trans(s204, s46) | trans(s204, s48) | trans(s204, s49) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s60) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s65) | trans(s204, s66) | trans(s204, s67) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s78) | trans(s204, s80) | trans(s204, s81) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s126) | trans(s204, s127) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s141) | trans(s204, s142) | trans(s204, s143) | trans(s204, s145) | trans(s204, s146) | trans(s204, s148) | trans(s204, s149) | trans(s204, s152) | trans(s204, s153) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s170) | trans(s204, s171) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s180) | trans(s204, s183) | trans(s204, s184) | trans(s204, s185) | trans(s204, s186) | trans(s204, s187) | trans(s204, s188) | trans(s204, s190) | trans(s204, s191) | trans(s204, s192) | trans(s204, s193) | trans(s204, s195) | trans(s204, s196) | trans(s204, s197) | trans(s204, s199) | trans(s204, s200) | trans(s204, s202) | trans(s204, s203) | trans(s204, s204)),
% 7.84/6.68 inference(unit_resolution,[status(thm)],[25339, 24269, 24260, 24251, 24242, 24233])).
% 7.84/6.68 tff(25341,plain,
% 7.84/6.68 (trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s16) | trans(s204, s20) | trans(s204, s22) | trans(s204, s24) | trans(s204, s26) | trans(s204, s28) | trans(s204, s30) | trans(s204, s32) | trans(s204, s34) | trans(s204, s36) | trans(s204, s38) | trans(s204, s40) | trans(s204, s42) | trans(s204, s44) | trans(s204, s46) | trans(s204, s48) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s58) | trans(s204, s60) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s66) | trans(s204, s67) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s78) | trans(s204, s80) | trans(s204, s81) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s88) | trans(s204, s89) | trans(s204, s90) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s108) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s126) | trans(s204, s127) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s141) | trans(s204, s143) | trans(s204, s145) | trans(s204, s146) | trans(s204, s148) | trans(s204, s149) | trans(s204, s153) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s170) | trans(s204, s171) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s180) | trans(s204, s183) | trans(s204, s184) | trans(s204, s185) | trans(s204, s186) | trans(s204, s187) | trans(s204, s188) | trans(s204, s190) | trans(s204, s191) | trans(s204, s192) | trans(s204, s193) | trans(s204, s195) | trans(s204, s196) | trans(s204, s199) | trans(s204, s200) | trans(s204, s202) | trans(s204, s203) | trans(s204, s204)),
% 7.84/6.68 inference(unit_resolution,[status(thm)],[25340, 24224, 24215, 24206, 24197, 24188])).
% 7.84/6.68 tff(25342,plain,
% 7.84/6.68 (trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s16) | trans(s204, s20) | trans(s204, s22) | trans(s204, s24) | trans(s204, s26) | trans(s204, s28) | trans(s204, s30) | trans(s204, s32) | trans(s204, s34) | trans(s204, s36) | trans(s204, s38) | trans(s204, s40) | trans(s204, s42) | trans(s204, s44) | trans(s204, s46) | trans(s204, s48) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s60) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s66) | trans(s204, s67) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s75) | trans(s204, s78) | trans(s204, s80) | trans(s204, s81) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s89) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s126) | trans(s204, s127) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s132) | trans(s204, s133) | trans(s204, s134) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s139) | trans(s204, s141) | trans(s204, s143) | trans(s204, s145) | trans(s204, s146) | trans(s204, s148) | trans(s204, s149) | trans(s204, s153) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s166) | trans(s204, s167) | trans(s204, s168) | trans(s204, s170) | trans(s204, s171) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s180) | trans(s204, s183) | trans(s204, s184) | trans(s204, s185) | trans(s204, s186) | trans(s204, s187) | trans(s204, s188) | trans(s204, s190) | trans(s204, s191) | trans(s204, s192) | trans(s204, s193) | trans(s204, s196) | trans(s204, s199) | trans(s204, s200) | trans(s204, s202) | trans(s204, s203) | trans(s204, s204)),
% 7.84/6.68 inference(unit_resolution,[status(thm)],[25341, 24179, 24170, 24161, 24152, 24143])).
% 7.84/6.68 tff(25343,plain,
% 7.84/6.68 (trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s16) | trans(s204, s20) | trans(s204, s22) | trans(s204, s24) | trans(s204, s26) | trans(s204, s28) | trans(s204, s30) | trans(s204, s32) | trans(s204, s34) | trans(s204, s36) | trans(s204, s38) | trans(s204, s40) | trans(s204, s42) | trans(s204, s44) | trans(s204, s46) | trans(s204, s48) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s56) | trans(s204, s57) | trans(s204, s60) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s66) | trans(s204, s67) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s78) | trans(s204, s80) | trans(s204, s81) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s89) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s99) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s118) | trans(s204, s119) | trans(s204, s120) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s126) | trans(s204, s127) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s133) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s141) | trans(s204, s143) | trans(s204, s145) | trans(s204, s146) | trans(s204, s148) | trans(s204, s149) | trans(s204, s153) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s166) | trans(s204, s167) | trans(s204, s170) | trans(s204, s171) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s176) | trans(s204, s177) | trans(s204, s180) | trans(s204, s183) | trans(s204, s184) | trans(s204, s185) | trans(s204, s186) | trans(s204, s187) | trans(s204, s188) | trans(s204, s191) | trans(s204, s192) | trans(s204, s193) | trans(s204, s196) | trans(s204, s199) | trans(s204, s200) | trans(s204, s202) | trans(s204, s203) | trans(s204, s204)),
% 7.84/6.68 inference(unit_resolution,[status(thm)],[25342, 24134, 24125, 24116, 24107, 24098, 24089])).
% 7.84/6.68 tff(25344,plain,
% 7.84/6.68 (trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s16) | trans(s204, s20) | trans(s204, s22) | trans(s204, s24) | trans(s204, s26) | trans(s204, s28) | trans(s204, s30) | trans(s204, s32) | trans(s204, s34) | trans(s204, s36) | trans(s204, s38) | trans(s204, s40) | trans(s204, s42) | trans(s204, s44) | trans(s204, s46) | trans(s204, s48) | trans(s204, s50) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s57) | trans(s204, s60) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s66) | trans(s204, s67) | trans(s204, s69) | trans(s204, s70) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s78) | trans(s204, s80) | trans(s204, s81) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s89) | trans(s204, s91) | trans(s204, s92) | trans(s204, s93) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s109) | trans(s204, s110) | trans(s204, s111) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s119) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s126) | trans(s204, s127) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s133) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s141) | trans(s204, s143) | trans(s204, s145) | trans(s204, s146) | trans(s204, s148) | trans(s204, s149) | trans(s204, s153) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s166) | trans(s204, s167) | trans(s204, s170) | trans(s204, s171) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s177) | trans(s204, s180) | trans(s204, s184) | trans(s204, s185) | trans(s204, s186) | trans(s204, s187) | trans(s204, s188) | trans(s204, s191) | trans(s204, s192) | trans(s204, s193) | trans(s204, s196) | trans(s204, s199) | trans(s204, s200) | trans(s204, s202) | trans(s204, s203) | trans(s204, s204)),
% 7.84/6.69 inference(unit_resolution,[status(thm)],[25343, 24080, 24071, 24062, 24053, 24044, 24035])).
% 7.84/6.69 tff(25345,plain,
% 7.84/6.69 (trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s12) | trans(s204, s13) | trans(s204, s16) | trans(s204, s22) | trans(s204, s26) | trans(s204, s28) | trans(s204, s30) | trans(s204, s32) | trans(s204, s34) | trans(s204, s36) | trans(s204, s38) | trans(s204, s40) | trans(s204, s42) | trans(s204, s44) | trans(s204, s46) | trans(s204, s48) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s57) | trans(s204, s60) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s66) | trans(s204, s67) | trans(s204, s69) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s78) | trans(s204, s80) | trans(s204, s81) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s89) | trans(s204, s91) | trans(s204, s92) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s109) | trans(s204, s110) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s117) | trans(s204, s119) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s126) | trans(s204, s127) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s133) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s141) | trans(s204, s143) | trans(s204, s145) | trans(s204, s146) | trans(s204, s148) | trans(s204, s149) | trans(s204, s153) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s166) | trans(s204, s167) | trans(s204, s170) | trans(s204, s171) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s177) | trans(s204, s180) | trans(s204, s184) | trans(s204, s185) | trans(s204, s186) | trans(s204, s187) | trans(s204, s188) | trans(s204, s191) | trans(s204, s192) | trans(s204, s193) | trans(s204, s196) | trans(s204, s199) | trans(s204, s200) | trans(s204, s202) | trans(s204, s203) | trans(s204, s204)),
% 7.84/6.69 inference(unit_resolution,[status(thm)],[25344, 24026, 24017, 24008, 23999, 23990, 23981])).
% 7.84/6.69 tff(25346,plain,
% 7.84/6.69 (trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s5) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s16) | trans(s204, s22) | trans(s204, s26) | trans(s204, s28) | trans(s204, s30) | trans(s204, s32) | trans(s204, s34) | trans(s204, s36) | trans(s204, s38) | trans(s204, s40) | trans(s204, s42) | trans(s204, s44) | trans(s204, s46) | trans(s204, s48) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s57) | trans(s204, s60) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s66) | trans(s204, s67) | trans(s204, s69) | trans(s204, s71) | trans(s204, s72) | trans(s204, s73) | trans(s204, s74) | trans(s204, s78) | trans(s204, s80) | trans(s204, s81) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s89) | trans(s204, s91) | trans(s204, s92) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s109) | trans(s204, s110) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s119) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s126) | trans(s204, s127) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s133) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s141) | trans(s204, s143) | trans(s204, s145) | trans(s204, s146) | trans(s204, s148) | trans(s204, s149) | trans(s204, s153) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s167) | trans(s204, s170) | trans(s204, s171) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s177) | trans(s204, s180) | trans(s204, s185) | trans(s204, s187) | trans(s204, s188) | trans(s204, s191) | trans(s204, s192) | trans(s204, s193) | trans(s204, s196) | trans(s204, s199) | trans(s204, s200) | trans(s204, s202) | trans(s204, s203) | trans(s204, s204)),
% 7.84/6.69 inference(unit_resolution,[status(thm)],[25345, 23972, 23963, 23954, 23945, 23936, 23927])).
% 7.84/6.69 tff(25347,plain,
% 7.84/6.69 (trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s16) | trans(s204, s22) | trans(s204, s26) | trans(s204, s28) | trans(s204, s30) | trans(s204, s32) | trans(s204, s34) | trans(s204, s36) | trans(s204, s38) | trans(s204, s40) | trans(s204, s42) | trans(s204, s44) | trans(s204, s46) | trans(s204, s48) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s60) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s66) | trans(s204, s67) | trans(s204, s71) | trans(s204, s73) | trans(s204, s80) | trans(s204, s81) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s89) | trans(s204, s91) | trans(s204, s92) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s100) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s109) | trans(s204, s110) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s115) | trans(s204, s116) | trans(s204, s119) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s126) | trans(s204, s127) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s133) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s141) | trans(s204, s143) | trans(s204, s145) | trans(s204, s146) | trans(s204, s148) | trans(s204, s149) | trans(s204, s153) | trans(s204, s155) | trans(s204, s156) | trans(s204, s157) | trans(s204, s158) | trans(s204, s159) | trans(s204, s160) | trans(s204, s167) | trans(s204, s170) | trans(s204, s171) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s177) | trans(s204, s180) | trans(s204, s185) | trans(s204, s187) | trans(s204, s188) | trans(s204, s191) | trans(s204, s192) | trans(s204, s193) | trans(s204, s196) | trans(s204, s199) | trans(s204, s200) | trans(s204, s202) | trans(s204, s203) | trans(s204, s204)),
% 7.84/6.69 inference(unit_resolution,[status(thm)],[25346, 23918, 23909, 23900, 23891, 23882, 23873])).
% 7.84/6.69 tff(25348,plain,
% 7.84/6.69 (trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s16) | trans(s204, s22) | trans(s204, s26) | trans(s204, s28) | trans(s204, s30) | trans(s204, s32) | trans(s204, s34) | trans(s204, s38) | trans(s204, s40) | trans(s204, s42) | trans(s204, s44) | trans(s204, s46) | trans(s204, s48) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s60) | trans(s204, s62) | trans(s204, s63) | trans(s204, s64) | trans(s204, s66) | trans(s204, s67) | trans(s204, s71) | trans(s204, s73) | trans(s204, s80) | trans(s204, s81) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s89) | trans(s204, s91) | trans(s204, s92) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s109) | trans(s204, s110) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s116) | trans(s204, s119) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s126) | trans(s204, s127) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s133) | trans(s204, s135) | trans(s204, s136) | trans(s204, s137) | trans(s204, s138) | trans(s204, s141) | trans(s204, s143) | trans(s204, s145) | trans(s204, s146) | trans(s204, s149) | trans(s204, s153) | trans(s204, s155) | trans(s204, s156) | trans(s204, s158) | trans(s204, s160) | trans(s204, s167) | trans(s204, s170) | trans(s204, s171) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s177) | trans(s204, s180) | trans(s204, s185) | trans(s204, s187) | trans(s204, s188) | trans(s204, s191) | trans(s204, s192) | trans(s204, s193) | trans(s204, s196) | trans(s204, s199) | trans(s204, s200) | trans(s204, s202) | trans(s204, s203) | trans(s204, s204)),
% 7.84/6.69 inference(unit_resolution,[status(thm)],[25347, 23864, 23855, 23846, 23837, 23828, 23819])).
% 7.84/6.69 tff(25349,plain,
% 7.84/6.69 (trans(s204, s1) | trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s16) | trans(s204, s22) | trans(s204, s26) | trans(s204, s28) | trans(s204, s30) | trans(s204, s32) | trans(s204, s38) | trans(s204, s40) | trans(s204, s42) | trans(s204, s44) | trans(s204, s46) | trans(s204, s48) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s60) | trans(s204, s62) | trans(s204, s63) | trans(s204, s66) | trans(s204, s67) | trans(s204, s71) | trans(s204, s73) | trans(s204, s80) | trans(s204, s81) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s89) | trans(s204, s91) | trans(s204, s92) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s107) | trans(s204, s109) | trans(s204, s110) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s116) | trans(s204, s119) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s124) | trans(s204, s126) | trans(s204, s127) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s133) | trans(s204, s136) | trans(s204, s141) | trans(s204, s143) | trans(s204, s145) | trans(s204, s146) | trans(s204, s149) | trans(s204, s153) | trans(s204, s155) | trans(s204, s156) | trans(s204, s158) | trans(s204, s160) | trans(s204, s170) | trans(s204, s171) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s177) | trans(s204, s180) | trans(s204, s185) | trans(s204, s187) | trans(s204, s188) | trans(s204, s191) | trans(s204, s192) | trans(s204, s193) | trans(s204, s199) | trans(s204, s200) | trans(s204, s202) | trans(s204, s203) | trans(s204, s204)),
% 7.84/6.70 inference(unit_resolution,[status(thm)],[25348, 23810, 23801, 23792, 23783, 23774, 23765, 23756])).
% 7.84/6.70 tff(25350,plain,
% 7.84/6.70 (trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s16) | trans(s204, s22) | trans(s204, s26) | trans(s204, s28) | trans(s204, s30) | trans(s204, s32) | trans(s204, s40) | trans(s204, s42) | trans(s204, s44) | trans(s204, s46) | trans(s204, s48) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s60) | trans(s204, s62) | trans(s204, s63) | trans(s204, s71) | trans(s204, s73) | trans(s204, s80) | trans(s204, s81) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s89) | trans(s204, s91) | trans(s204, s92) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s109) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s116) | trans(s204, s119) | trans(s204, s121) | trans(s204, s122) | trans(s204, s123) | trans(s204, s126) | trans(s204, s127) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s133) | trans(s204, s136) | trans(s204, s141) | trans(s204, s143) | trans(s204, s145) | trans(s204, s146) | trans(s204, s149) | trans(s204, s153) | trans(s204, s155) | trans(s204, s156) | trans(s204, s158) | trans(s204, s160) | trans(s204, s170) | trans(s204, s171) | trans(s204, s173) | trans(s204, s174) | trans(s204, s175) | trans(s204, s177) | trans(s204, s180) | trans(s204, s185) | trans(s204, s187) | trans(s204, s188) | trans(s204, s191) | trans(s204, s192) | trans(s204, s193) | trans(s204, s199) | trans(s204, s200) | trans(s204, s202) | trans(s204, s203) | trans(s204, s204)),
% 7.84/6.70 inference(unit_resolution,[status(thm)],[25349, 23747, 23738, 23729, 23720, 23711, 23702, 23683])).
% 7.84/6.70 tff(25351,plain,
% 7.84/6.70 (trans(s204, s2) | trans(s204, s3) | trans(s204, s4) | trans(s204, s6) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s16) | trans(s204, s22) | trans(s204, s28) | trans(s204, s32) | trans(s204, s40) | trans(s204, s42) | trans(s204, s44) | trans(s204, s46) | trans(s204, s48) | trans(s204, s51) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s60) | trans(s204, s62) | trans(s204, s71) | trans(s204, s73) | trans(s204, s80) | trans(s204, s81) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s89) | trans(s204, s91) | trans(s204, s92) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s101) | trans(s204, s102) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s109) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s116) | trans(s204, s119) | trans(s204, s121) | trans(s204, s123) | trans(s204, s126) | trans(s204, s129) | trans(s204, s130) | trans(s204, s131) | trans(s204, s133) | trans(s204, s136) | trans(s204, s141) | trans(s204, s143) | trans(s204, s145) | trans(s204, s146) | trans(s204, s149) | trans(s204, s153) | trans(s204, s156) | trans(s204, s158) | trans(s204, s160) | trans(s204, s170) | trans(s204, s171) | trans(s204, s173) | trans(s204, s174) | trans(s204, s177) | trans(s204, s180) | trans(s204, s185) | trans(s204, s187) | trans(s204, s188) | trans(s204, s192) | trans(s204, s193) | trans(s204, s199) | trans(s204, s200) | trans(s204, s202) | trans(s204, s203) | trans(s204, s204)),
% 7.84/6.70 inference(unit_resolution,[status(thm)],[25350, 23674, 23665, 23656, 23647, 23638, 23629, 23620, 23611])).
% 7.84/6.70 tff(25352,plain,
% 7.84/6.70 (trans(s204, s2) | trans(s204, s3) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s16) | trans(s204, s22) | trans(s204, s28) | trans(s204, s32) | trans(s204, s40) | trans(s204, s42) | trans(s204, s44) | trans(s204, s46) | trans(s204, s48) | trans(s204, s52) | trans(s204, s53) | trans(s204, s54) | trans(s204, s55) | trans(s204, s60) | trans(s204, s62) | trans(s204, s73) | trans(s204, s80) | trans(s204, s81) | trans(s204, s83) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s89) | trans(s204, s91) | trans(s204, s92) | trans(s204, s94) | trans(s204, s95) | trans(s204, s96) | trans(s204, s97) | trans(s204, s98) | trans(s204, s101) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s109) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s116) | trans(s204, s119) | trans(s204, s121) | trans(s204, s123) | trans(s204, s126) | trans(s204, s129) | trans(s204, s131) | trans(s204, s133) | trans(s204, s136) | trans(s204, s141) | trans(s204, s145) | trans(s204, s146) | trans(s204, s149) | trans(s204, s153) | trans(s204, s156) | trans(s204, s158) | trans(s204, s160) | trans(s204, s170) | trans(s204, s173) | trans(s204, s174) | trans(s204, s177) | trans(s204, s180) | trans(s204, s185) | trans(s204, s188) | trans(s204, s192) | trans(s204, s193) | trans(s204, s199) | trans(s204, s200) | trans(s204, s202) | trans(s204, s203) | trans(s204, s204)),
% 7.84/6.70 inference(unit_resolution,[status(thm)],[25351, 23602, 23593, 23584, 23575, 23566, 23557, 23548, 23539, 23530])).
% 7.84/6.70 tff(25353,plain,
% 7.84/6.70 (trans(s204, s2) | trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s16) | trans(s204, s22) | trans(s204, s32) | trans(s204, s40) | trans(s204, s42) | trans(s204, s44) | trans(s204, s46) | trans(s204, s48) | trans(s204, s52) | trans(s204, s54) | trans(s204, s62) | trans(s204, s73) | trans(s204, s80) | trans(s204, s81) | trans(s204, s84) | trans(s204, s85) | trans(s204, s86) | trans(s204, s89) | trans(s204, s91) | trans(s204, s92) | trans(s204, s94) | trans(s204, s95) | trans(s204, s97) | trans(s204, s98) | trans(s204, s101) | trans(s204, s103) | trans(s204, s104) | trans(s204, s105) | trans(s204, s106) | trans(s204, s109) | trans(s204, s112) | trans(s204, s113) | trans(s204, s114) | trans(s204, s116) | trans(s204, s119) | trans(s204, s121) | trans(s204, s123) | trans(s204, s126) | trans(s204, s129) | trans(s204, s133) | trans(s204, s136) | trans(s204, s141) | trans(s204, s145) | trans(s204, s146) | trans(s204, s149) | trans(s204, s153) | trans(s204, s156) | trans(s204, s158) | trans(s204, s160) | trans(s204, s170) | trans(s204, s173) | trans(s204, s174) | trans(s204, s177) | trans(s204, s180) | trans(s204, s185) | trans(s204, s188) | trans(s204, s192) | trans(s204, s193) | trans(s204, s200) | trans(s204, s202) | trans(s204, s203) | trans(s204, s204)),
% 7.84/6.70 inference(unit_resolution,[status(thm)],[25352, 23521, 23512, 23503, 23494, 23485, 23476, 23467, 23458, 23449])).
% 7.84/6.70 tff(25354,plain,
% 7.84/6.70 (trans(s204, s7) | trans(s204, s8) | trans(s204, s9) | trans(s204, s10) | trans(s204, s11) | trans(s204, s16) | trans(s204, s22) | trans(s204, s32) | trans(s204, s40) | trans(s204, s42) | trans(s204, s44) | trans(s204, s46) | trans(s204, s48) | trans(s204, s52) | trans(s204, s54) | trans(s204, s73) | trans(s204, s80) | trans(s204, s81) | trans(s204, s84) | trans(s204, s86) | trans(s204, s89) | trans(s204, s91) | trans(s204, s92) | trans(s204, s95) | trans(s204, s97) | trans(s204, s98) | trans(s204, s101) | trans(s204, s103) | trans(s204, s104) | trans(s204, s106) | trans(s204, s109) | trans(s204, s112) | trans(s204, s114) | trans(s204, s116) | trans(s204, s119) | trans(s204, s121) | trans(s204, s123) | trans(s204, s126) | trans(s204, s129) | trans(s204, s133) | trans(s204, s136) | trans(s204, s141) | trans(s204, s145) | trans(s204, s146) | trans(s204, s149) | trans(s204, s153) | trans(s204, s156) | trans(s204, s160) | trans(s204, s170) | trans(s204, s173) | trans(s204, s174) | trans(s204, s177) | trans(s204, s188) | trans(s204, s192) | trans(s204, s193) | trans(s204, s200) | trans(s204, s202) | trans(s204, s204)),
% 7.84/6.70 inference(unit_resolution,[status(thm)],[25353, 23440, 23431, 23422, 23413, 23404, 23395, 23386, 23377, 23318, 23309])).
% 7.84/6.70 tff(25355,plain,
% 7.84/6.70 (trans(s204, s7) | trans(s204, s9) | trans(s204, s11) | trans(s204, s22) | trans(s204, s32) | trans(s204, s40) | trans(s204, s42) | trans(s204, s44) | trans(s204, s46) | trans(s204, s48) | trans(s204, s52) | trans(s204, s73) | trans(s204, s80) | trans(s204, s81) | trans(s204, s84) | trans(s204, s86) | trans(s204, s89) | trans(s204, s92) | trans(s204, s95) | trans(s204, s98) | trans(s204, s103) | trans(s204, s104) | trans(s204, s109) | trans(s204, s112) | trans(s204, s114) | trans(s204, s116) | trans(s204, s119) | trans(s204, s121) | trans(s204, s123) | trans(s204, s126) | trans(s204, s129) | trans(s204, s136) | trans(s204, s145) | trans(s204, s146) | trans(s204, s149) | trans(s204, s153) | trans(s204, s160) | trans(s204, s173) | trans(s204, s174) | trans(s204, s177) | trans(s204, s188) | trans(s204, s192) | trans(s204, s193) | trans(s204, s200) | trans(s204, s202) | trans(s204, s204)),
% 7.84/6.70 inference(unit_resolution,[status(thm)],[25354, 23300, 23291, 23282, 23273, 23264, 23255, 23246, 23237, 23228, 23219, 23210, 23201])).
% 7.84/6.70 tff(25356,plain,
% 7.84/6.70 (trans(s204, s7) | trans(s204, s9) | trans(s204, s22) | trans(s204, s40) | trans(s204, s44) | trans(s204, s46) | trans(s204, s48) | trans(s204, s52) | trans(s204, s73) | trans(s204, s80) | trans(s204, s81) | trans(s204, s84) | trans(s204, s86) | trans(s204, s89) | trans(s204, s104) | trans(s204, s109) | trans(s204, s114) | trans(s204, s119) | trans(s204, s121) | trans(s204, s123) | trans(s204, s126) | trans(s204, s136) | trans(s204, s145) | trans(s204, s160) | trans(s204, s173) | trans(s204, s174) | trans(s204, s188) | trans(s204, s192) | trans(s204, s200) | trans(s204, s204)),
% 7.84/6.70 inference(unit_resolution,[status(thm)],[25355, 23192, 23183, 23174, 23165, 23156, 23147, 23138, 23129, 23120, 23111, 23102, 23093, 23084, 23075, 23066, 23057])).
% 7.84/6.70 tff(25357,plain,
% 7.84/6.70 (trans(s204, s119)),
% 7.84/6.70 inference(unit_resolution,[status(thm)],[25356, 23048, 23039, 23030, 23021, 23012, 23003, 22994, 22985, 22976, 22967, 22958, 22949, 22940, 22931, 22922, 22913, 22904, 22895, 22886, 22877, 22868, 22859, 22850, 22841, 22832, 22803, 22794, 21835, 21676])).
% 7.84/6.70 tff(25358,plain,
% 7.84/6.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s119) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s119)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s119) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s119)))),
% 7.84/6.70 inference(rewrite,[status(thm)],[])).
% 7.84/6.70 tff(25359,plain,
% 7.84/6.70 (((~trans(s204, s119)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s119)) <=> (until2p29(s119) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s119)))),
% 7.84/6.70 inference(rewrite,[status(thm)],[])).
% 7.84/6.70 tff(25360,plain,
% 7.84/6.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s119)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s119))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | (until2p29(s119) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s119))))),
% 7.84/6.73 inference(monotonicity,[status(thm)],[25359])).
% 7.84/6.73 tff(25361,plain,
% 7.84/6.73 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s119)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s119))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s119) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s119)))),
% 7.84/6.73 inference(transitivity,[status(thm)],[25360, 25358])).
% 7.84/6.73 tff(25362,plain,
% 7.84/6.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | ((~trans(s204, s119)) | (~last(s204)) | (~xuntil28(s204)) | until2p29(s119))),
% 7.84/6.73 inference(quant_inst,[status(thm)],[])).
% 7.84/6.73 tff(25363,plain,
% 7.84/6.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil28(X)) | until2p29(Y))) | until2p29(s119) | (~last(s204)) | (~xuntil28(s204)) | (~trans(s204, s119))),
% 7.84/6.73 inference(modus_ponens,[status(thm)],[25362, 25361])).
% 7.84/6.73 tff(25364,plain,
% 7.84/6.73 ($false),
% 7.84/6.73 inference(unit_resolution,[status(thm)],[25363, 20779, 25357, 21667, 21657, 20769])).
% 7.84/6.73 % SZS output end Proof
%------------------------------------------------------------------------------